The solutions to the expressions 1 to 17 are shown below
Solving the expressionsThe expressions 1 to 17 are solved below
3x - 12 = 6
3x = 6 + 12
3x = 18
x = 6
2x + 4 = 8
2x = 8 - 4
2x = 4
x = 2
12s - 12 = 12
12s = 12 + 12
12s = 24
s = 2
14s + 7 = 35
14s = 35 - 7
14s = 28
s = 2
3s - 12 = 6
3s = 6 + 12
3s = 18
s = 6
18t + 9 = 34
18t = 34 - 9
18t = 25
t = 25/18
21x + 7 = 28
21x = 28 - 7
21x = 21
x = 1
50y + 3 = 103
50y = 103 - 3
50y = 100
y = 2
(1/4)x - 6 = 18
(1/4)x = 18 + 6
(1/4)x = 24
x = 24/(1/4)
x = 96
26x + 2 = 18
26x = 18 - 2
26x = 16
x = 16/26
6 - 2x = 18
-2x = 18 - 6
-2x = 12
x = -6
14 + s = 21
s = 21 - 14
s = 7
16x - 4 = 28
16x = 28 + 4
16x = 32
x = 2
19x - 1 + 3 = 40
19x + 2 = 40
19x = 40 - 2
19x = 38
x = 2
100t = 194
t = 194/100
500x + 100 = 1100
500x = 1100 - 100
500x = 1000
x = 2
60 - 3x + 3 = 114
-3x = 114 - 60 - 3
-3x = 51
x = -17
Read more about expressions at
https://brainly.com/question/3831584
#SPJ1
PLS HURRY!!
A survey is taken at a mall in Westingbrook. The first 75 people who entered the mall were asked about their favorite restaurant in the food court. What is true about this situation? The population is the first 75 people at the mall, and the sample is the total number of people who go to the mall. O The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall. The population is the number of people who go to the mall, and the sample is the number of people in the town of Westingbrook. O The population is the number of people in the town of Westingbrook, and the sample is the number of people who go to the mall.
The answer to this problem is "The population is the total number of people who go to the mall, and the sample is the first 75 people at the mall".
What is true about this situation?
When conducting a survey, it's important to carefully define the population of interest and the sample being surveyed. The population is the entire group that you want to draw conclusions about, while the sample is the group of individuals that you actually survey. In this situation, the population of interest is the total number of people who go to the mall, as this is the group that we want to make inferences about.
The sample is the first 75 people who entered the mall and were asked about their favorite restaurant in the food court. This sample was likely selected in a way that is meant to be representative of the larger population of mall-goers. However, it's worth noting that the sample is still a subset of the population, and therefore there is some risk of sampling error. For example, if the first 75 people who entered the mall were all from the same demographic group, the survey results might not be representative of the larger population.
Overall, it's important to be clear about the population and sample when conducting a survey, as this helps to ensure that the results are meaningful and accurate.
learn more on survey here;
https://brainly.com/question/23286309
#SPJ1
Find the number of terms in this polynomial
Step-by-step explanation:
where is. the. polynomial.
TIME SENSITIVE! please help !
Consider the word PENCIL. If all the letters are used, and the first letter can’t be N or L, how many ways can the letters be arranged?
A) 720
B) 480
C) 360
D) 96
The number of ways to arrange the letters of PENCIL when the first letter can't be N or L is option (B) 480.
The word PENCIL has 6 letters, here we have to use permutation method. If all the letters are used, there are 6! = 720 ways to arrange them. However, the first letter can’t be N or L. This means that there are only 4 choices for the first letter (P, E, C, or I). After choosing the first letter, there are 5 letters left to arrange,
So there are 5! = 120 ways to arrange them.
Therefore, the total number of ways to arrange the letters of PENCIL when the first letter can’t be N or L is
4 x 5! = 4 x 120 = 480
Therefore, the correct option is (B) 480.
Learn more about permutation here
brainly.com/question/28720645
#SPJ4
what number is the greatest common factor of 90 and 315 divided by the least common multiple of 5 and 15?
The greatest common factor of 90 and 315 when divided by the least common multiple of 5 and 15 is 45.
When we multiply all the common prime factors, we get the greatest common factor of the numbers.
These prime factors should come from the prime factorization of the numbers given. These should be in all the unique combinations possible.
To learn more about the greatest common factor,
https://brainly.com/question/219464
quiz 7the following table shows the individual measurements for five samples taken every 15 minutes starting at 10:00 am to be used in monitoring the quality of a process.10:00 am2.01.82.01.810:15 am2.02.02.02.010:30 am1.81.92.12.210:45 am2.12.11.91.911:00 am1.62.02.21.71. how many measurements are in each sample?2. suppose a mean control chart is being used with an upper limit of 2.2 and a lower limit of 1.8. using the data above, what would be the first point to plot on the control chart?
The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.
1. There are four measurements in each sample, as shown in the table.
2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
Each sample contains 4 measurements.
2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9
Learn more about plot here:
https://brainly.com/question/17222820
#SPJ11
1. There are 4 measurements in each sample.
2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.
To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.
For similar question on sample.
https://brainly.com/question/9924198
#SPJ11
You roll a 6 - sided die. What is the probability that 2 will not appear on the die?
Therefore , the solution of the given problem of probability comes out to be the likelihood that 2 will not occur is 5/6, or roughly 0.8333, or 83.33%.
What exactly is probability?Any considerations technique's main objective is to determine the likelihood event that a claim is true or that a particular incident will happen. Any number from 0 to 1, where 0 traditionally represents a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The six possible results on a conventional six-sided die are 1, 2, 3, 4, 5, and 6.
Since there are 5 other numbers on the die in addition to
2 (1, 3, 4, 5, and 6), there are 5 outcomes in which 2 does not appear.
There are six sides to the die, so there are a total of six events that could occur.
The likelihood that the number 2 will not appear on the die is therefore provided by:
Probability is calculated as follows:
=> 5/6 = number of outcomes without 2 out of all possible possibilities.
So, on a typical 6-sided dice, the likelihood that 2 will not occur is 5/6, or roughly 0.8333, or 83.33% (rounded to two decimal places).
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
Graph y ≥ -x2 - 1.
Click on the graph until the correct graph appears.
Answer:
To graph this inequality, you can start by graphing the related function y = -x^2 - 1. This is a downward-facing parabola that opens downwards and has a vertex at (0, -1).
To graph the inequality y ≥ -x^2 - 1, you need to shade the region above the graph of the parabola. This is because any point above the parabola will have a y-coordinate that is greater than or equal to the corresponding y-coordinate on the parabola.
So, to graph the inequality, you can shade the region above the parabola. You can use a dotted line to represent the boundary of the inequality, since the inequality includes the possibility of equality (y = -x^2 - 1).
I hope this helps!
Elena gives the following sequence of transformations to show that the two figures are similar by transforming into.
Dilate using center and scale factor 2.
Reflect using the line.
Is Elena’s method correct?
Group of answer choices
True
False
If the two figures are not related by a dilation with center and scale factor
of 2, followed by a reflection over a line, then Elena's method is not correct. therefore given statement is false.
Elena is claiming that they are similar, and she has shown this by
transforming one figure into the other through a dilation with center and
scale factor of 2, followed by a reflection over a line.
If this is the case, then Elena's method is correct if and only if the two
figures are related by a dilation with center and scale factor of 2,
followed by a reflection over a line.
A dilation with center and scale factor of 2 will result in a figure that is
twice as large as the original figure, with corresponding sides multiplied
by a factor of 2. If the dilation is followed by a reflection over a line, then
the resulting figure will be similar to the original figure, with
corresponding angles equal and corresponding sides proportional.
However, In general, two figures are similar if and only if their
corresponding angles are equal and their corresponding sides are
proportional.
There are many ways to show that two figures are similar, including using
transformations such as dilation and reflection, but the specific
transformations used must be appropriate for the figures in question.
for such more question on Elena's method
https://brainly.com/question/25073996
#SPJ11
im not sure how to do this (7th grade math)
Answer:
The answer is: A
Step-by-step explanation:
Answer:
a) q<0
Step-by-step explanation:
[tex] \frac{q}{r} < 0 \\ = r \times \frac{q}{r} < 0 \times r \\ = q < 0[/tex]
a random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the
The upper control limit for the p-chart is 0.111, and the lower control limit is 0.003.
To calculate the upper and lower control limits for a p-chart, we need to use the following formula:
UCL = p' + 3√(p'(1-p')/n)
LCL = p' - 3√(p'(1-p')/n)
Where p' is the mean proportion of defective pots, n is the sample size (in this case, 120), and UCL and LCL are the upper and lower control limits, respectively.
Given that the proportion of defective pots is believed to be 0.05, we can calculate the mean proportion of defective pots as:
p' = 0.05
Substituting this value in the above formula, we get:
UCL = 0.05 + 3√(0.05(1-0.05)/120) = 0.111
LCL = 0.05 - 3√(0.05(1-0.05)/120) = 0.003
Any sample proportion of defective pots falling outside these limits would be considered statistically significant and warrant further investigation to identify the root cause of the defects in the production process.
To learn more about proportion click on,
https://brainly.com/question/29979305
#SPJ4
Complete question is:
A random sample of 120 cast aluminum pots is taken from a production line once every day. the number of defective pots is counted. the proportion of defective pots has been closely examined in the past and is believed to be 0.05. what are the upper and lower control limits for the p' chart.
Algebra - Make x the subject of the equation
Can someone please show me step by step how to solve this equation please. The correct order of operations.
The equation solved for x can be written as follows:
x = s/(p - q)
How to make x the subject?just isolate the equation for x, we start wit the equation:
p = q + s/x
Now we can subtract q in both sides:
p - q = s/x
Now we can multiply both sides by the variable x
x*(p - q) =s
Finally, divide both sides by (p - q), in this way you can completley isolate the variable in the left side.
x = s/(p - q)
There you have it.
Learn more about equations at:
https://brainly.com/question/22688504
#SPJ1
A counter in Adriana's kitchen is 1 meter wide and 3 meters long. Adriana wants to replace the counter with a granite countertop, which would cost $261.00 per square meter. How much would the granite countertop cost?
The granite countertop would cost $783.00.
Finding the cost of granite:
To find the cost of granite find the amount of granite that can be used for the entire kitchen.
Since the kitchen floor is in a rectangle shape find the area of the kitchen floor using the area of a rectangle. Which will equal the amount of granite used for the kitchen.
Use the formula for the cost of the countertop, which is the product of the area, and the cost per square meter, to determine the total cost.
Here we have
A counter in Adriana's kitchen is 1 m wide and 3 m long.
Hence, the area of the countertop can be found by multiplying the length and the width:
Area of kitchen = length x width = 3 m x 1 m = 3 m²
The cost of the granite is given by $ 261.00 per square meter
The cost of the granite countertop will equal the product of the area and the cost per square meter:
Total Cost = 3 m² x $261.00/m² = $783.00
Therefore,
The granite countertop would cost $783.00.
Learn more about Finding costs at
https://brainly.com/question/20692885
#SPJ1
What’s the first term for 3, 7, 11, 15, 19, 23
Therefore, the first term of the sequence is 3.
What is sequence?A sequence is an ordered list of numbers, usually generated by a pattern or a rule. Each number in the sequence is called a term, and the position of a term in the sequence is called its index. Sequences can have a finite or infinite number of terms, and they can be defined in various ways, such as recursively (where each term is defined in terms of the previous terms) or explicitly (where the formula for each term is given).
Here,
The given sequence is an arithmetic sequence, where the common difference between consecutive terms is 4. To find the first term, we can use the formula for the nth term of an arithmetic sequence, which is:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the position of the term in the sequence, and d is the common difference.
For this sequence, we know that a6 = 23 (since 23 is the last term given in the sequence), n = 6, and d = 4. Substituting these values into the formula, we get:
a6 = a1 + (6 - 1)4
23 = a1 + 20
a1 = 23 - 20
a1 = 3
To know more about sequence,
https://brainly.com/question/29266402
#SPJ1
Complete question:
What’s the first term for the given sequence: 3, 7, 11, 15, 19, 23?
At the candy store, Bianca bought 1 kilogram of gummy bears and 2 kilograms of jelly beans for $38.00. James bought 2 kilograms of gummy bears and 3 kilograms of jelly beans for $62.75. What is the cost of 1 kilogram of jelly beans?
Answer:
$13.25 .
Step-by-step explanation:
In case 1 he buys 1 kg of gummy bears and 2 kg of jelly beans .
So By the given condition :-
••••This will serve as equation (1) .
In case 2 he buys 2 kg of gummy bears and 3kg of jelly beans .
So by given condition :-
•••••This will serve as equation (2) .
Solving equation (1) and (2)
From equation (1)
x=38-2y .
we obtain,
2(38-2y)+3y=62.75
76-4y+3y=62.75
y=76-62.75=13.25 .
So cost of 1 kg of jelly bean is $13.25 .
traffic engineers in florida want to reduce the rate of accidents between pedestrians and cars at intersections. research has shown that replacing stoplights with roundabouts (also called traffic circles) can improve safety for bikers and pedestrians. engineers wanted to test this concept so it can be applied across florida, and last year, they replaced five timed stoplights in a florida city with roundabouts. the accident rates at five intersections before the intervention were 5.1, 3.4, 6.1, 4.9, and 4.1 accidents per month. after installing roundabouts, the new rates of pedestrian accidents were 4.5, 3.6, 5.5, 4.8, and 4.1 accidents per month. does replacing stoplights with roundabouts significantly reduce the rate of accidents at intersections? use an alpha value of 0.05 in your decision.
Replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.
Based on the statistical analysis, replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections.
To test this hypothesis, we will use a paired t-test, which compares the means of two sets of paired data. The null hypothesis is that there is no significant difference between the mean accident rates before and after installing roundabouts, while the alternative hypothesis is that the mean accident rate after installing roundabouts is significantly lower than before.
Here are the steps to conduct the paired t-test:
Calculate the difference between the accident rates before and after installing roundabouts for each intersection.Calculate the mean and standard deviation of the differences.Calculate the t-value using the formula: t = (mean of the differences) / (standard deviation of the differences / sqrt(n)), where n is the number of paired observations.Calculate the degrees of freedom using the formula: df = n - 1.Find the critical t-value at a 0.05 level of significance and df from a t-distribution table.Compare the calculated t-value with the critical t-value. If the calculated t-value is greater than the critical t-value, reject the null hypothesis. If the calculated t-value is less than or equal to the critical t-value, fail to reject the null hypothesis.Using the given data, the differences between the accident rates before and after installing roundabouts are:
-0.6, 0.2, 0.6, -0.1, 0
The mean of the differences is 0.02, and the standard deviation is 0.43. There are 5 paired observations, so the degrees of freedom are 4.
Using the formula, we get:
t = 0.02 / (0.43 / √(5)) = 0.14
The critical t-value at a 0.05 level of significance and 4 degrees of freedom is 2.776 from a t-distribution table.
Since the calculated t-value (0.14) is less than the critical t-value (2.776), we fail to reject the null hypothesis. Therefore, we can conclude that replacing stoplights with roundabouts does not significantly reduce the rate of accidents at intersections based on the given data.
Learn more about the null hypothesis
https://brainly.com/question/25263462
#SPJ4
a teacher wants to see if a new unit on factoring is helping students learn. she has five randomly selected students take a pre-test and a post test on the material. the scores are out of 20. has there been improvement? (pre-post) what value of t would you use for the 90% confidence interval? student 1 2 3 4 5 pre-test 12 14 11 12 13 post- test 15 17 15 20 13 group of answer choices 2.776 2.132 4.604 3.747 1.645
The paired t-test results suggest that there is no significant improvement in students' learning after the new unit on factoring, based on a 90% confidence level.
How to find the value of t?To determine if there has been an improvement in students' learning after a new unit on factoring, we can perform a paired t-test on the pre-test and post-test scores of the five randomly selected students.
The differences between the pre-test and post-test scores for each student are: 3, 3, 4, 8, 0.
The mean of the differences is 3.6, and the sample standard deviation is 2.39.
The t-value for a 90% confidence interval with 4 degrees of freedom is 2.776. Since the calculated t-value of 2.68 (calculated as the mean of the differences divided by the standard error of the mean of the differences) is less than the critical t-value of 2.776, we fail to reject the null hypothesis that there is no improvement in students' learning.
Therefore, there is not enough evidence to conclude that the new unit on factoring has helped students learn based on the sample data.
Learn more about t-test
brainly.com/question/15870238
#SPJ11
How can I turn this equation into standard form
Answer:
which equation i cant see a question or a photo of question
Can anyone help me please
Answer:
25
Step-by-step explanation:
If you spin the spinner 36 times, what is the best prediction possible for the number of times it will not land on yellow?
The best prediction possible for the number of times the spinner will not land on yellow is 18.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
Assuming that the spinner is fair and all outcomes are equally likely, we can calculate the probability of the spinner not landing on yellow in one spin by adding up the probabilities of all other outcomes, which are green, blue, and red.
The probability of the spinner not landing on yellow in one spin is:
P(not yellow) = P(green) + P(blue) + P(red)
= 1/6 + 1/3 + 1/6
= 1/2
Therefore, the expected number of times the spinner will not land on yellow in 36 spins is:
E(not yellow) = 36 x P(not yellow)
= 36 x 1/2
= 18
So the best prediction possible for the number of times the spinner will not land on yellow is 18. However, it's important to note that this is just a prediction based on probabilities, and the actual number of times the spinner doesn't land on yellow in 36 spins may vary.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
what is the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin?0.14260.13570.24610.0321
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:
P(X = k) = (n choose k) [tex]* p^k * (1-p)^(n-k)[/tex]
where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.
Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:
P(X = k) = (n choose k [tex]* 0.5^k * ()1-0.5)^(n-k)[/tex]
We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:
[tex]P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)[/tex]
Simplifying this expression, we get:
[tex]P(X = n/2) = (n choose n/2) * 0.5^n[/tex]
Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:
P(X = 5) = (10 choose 5) [tex]* 0.5^5 * (1-0.5)^(10-5)[/tex] = 0.2461
Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.
Option C is correct
To know more about probability. here
https://brainly.com/question/24756209
#SPJ4
The function f(x) = -4(3)-4+3 represents the value of a savings account in dollars, x months after the individual opened
the account.
In how many months will be account have a balance of $0?
O 0.26 months
O 2.46 months
O 3.74 months
O 4.26 months
NEED HELP ASP
Answer: A
Explanation:
The population of your town is about 30,000. This is about 1/10 the population of your friend’s town about what is the population of your friend’s town?
The population of your friend's town is 300,000 if the population of your town is about 30,000.
To solve this problem, we can use the fact that if one quantity is a fraction of another quantity, we can multiply or divide the given quantity by that fraction to find the other quantity. In this case, we know that the population of your town is 1/10th of your friend's town's population, so we can multiply your town's population by 10 to get your friend's town's population.
If the population of your town is about 30,000, and it's about 1/10 the population of your friend's town, we can calculate your friend's town's population by multiplying your town's population by 10.
So, the population of your friend's town is
30,000 x 10 = 300,000
Therefore, your friend's town has a population of about 300,000.
To know more about population here
https://brainly.com/question/7141650
#SPJ4
Write an exponential function, f( x), to represent the number of new participants of the challenge as a function of the day number, x
The exponential function that represents the number of new participants as a function of the day number is:
f(x) = 12 * 4ˣ
What is the exponential function?
An exponential function is a mathematical function of the form:
f(x) = aˣ
where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.
Let's assume that each person who receives a selfie and accepts the challenge sends selfies to 4 new friends the next day.
Then, the number of new participants on Day 1 will be the number of friends that Aliyah, Kim, and Reese each sent selfies to, which is 4 friends each, or a total of 12 new participants.
On Day 2, the 12 new participants each send selfies to 4 new friends, resulting in 4*12 = 48 new participants.
On Day 3, the 48 new participants each send selfies to 4 new friends, resulting in 4*48 = 192 new participants.
We can see that the number of new participants is growing exponentially, with each new day resulting in a larger number of new participants than the previous day.
To write an exponential function that represents the number of new participants as a function of the day number, we can use the general form of an exponential function:
f(x) = a * bˣ
where a is the initial value (the number of new participants on Day 1), b is the growth factor (the factor by which the number of new participants increases each day), and x is the day number.
In this case, we know that a = 12 (the initial number of new participants) and b = 4 (the factor by which the number of new participants increases each day, since each participant sends selfies to 4 new friends).
Therefore, the exponential function that represents the number of new participants as a function of the day number is:
f(x) = 12 * 4ˣ
To learn more about the exponential function visit:
https://brainly.com/question/30241796
#SPJ1
Which expression can be used to find the surface area of the following rectangular prism? Choose 1 answer: (Choice A) A 15+15+10+10+6+615+15+10+10+6+615, plus, 15, plus, 10, plus, 10, plus, 6, plus, 6 (Choice B) B 10+10+6+610+10+6+610, plus, 10, plus, 6, plus, 6 (Choice C) C 15+15+10+10+615+15+10+10+615, plus, 15, plus, 10, plus, 10, plus, 6 (Choice D) D 10+610+6
The expression used to calculate the surface area of the rectangular prism is given by option b. 2×6 + 2×10 + 2×15.
Let us consider 'l' be the length of the rectangular prism.
'w' be the width of the rectangular prism .
'h' be the height of the rectangular prism.
From the attached figure we have,
Length of the rectangular prism l = 3 units
Width of the rectangular prism w = 2 units
Height of the rectangular prism h = 5 units
Surface of the rectangular prism = 2(lw + wh + hl )
Substitute the values in the formula we get,
⇒Surface of the rectangular prism = 2 (3×2 + 2×5 + 5×3 )
⇒Surface of the rectangular prism = 2 ( 6 + 10 + 15)
⇒Surface of the rectangular prism = 2×6 + 2×10 + 2×15
Therefore, the surface area of the rectangular prism with given dimensions is equal to option b. 2×6 + 2×10 + 2×15.
Learn more about surface area here
brainly.com/question/14322585
#SPJ4
The above question is incomplete, the complete question is:
Which expression can be used to find the surface area of the following rectangular prism?
Attached figure.
Y+5=2(x+1) what is the x and y intercepts
Answer: x-intercept is (3/2, 0), y-intercept is (0, -3)
Step-by-step explanation:
PLEASE HELP
The equation ( x + 6)^2 + ( y + 4) ^2 = 36 models the position and range of the source of a radio signal.
1. Where is the signal located?
2. What is the range of the signal? Only enter numerical values.
Answer:
It is located at point (-6,-4), and it can reach a distance of 6 units.
Step-by-step explanation:
The equation is a circle equation:
(x-a)²+(y-b)²=r², where a and b are coordinates and r is the radius
We easily see that point a is -6, and point b is -4.
Since the square root of 36 is 6, we see that the radius of the circle is also 6, which is also the signals maximum range.
Hope this helps!
a description of the distribution of the values of a random variable and their associated probabilities is called a a. probability distribution. b. table of binomial probability. c. bivariate distribution. d. empirical discrete distribution.
A description of the distribution of the values of a random variable and their associated probabilities is called a probability distribution. The correct answer is a.
A probability distribution is a mathematical function that describes the possible values of a random variable and the likelihood of each value occurring. It provides a complete description of the probabilities of all possible outcomes of a random experiment or event.
Probability distributions can be classified into two types: discrete probability distributions and continuous probability distributions. Discrete probability distributions are used when the possible outcomes of a random variable are countable or finite, such as the number of heads in a coin toss.
Continuous probability distributions, on the other hand, are used when the possible outcomes of a random variable are infinite, such as the time it takes for a person to complete a task.
Probability distributions are used in various fields, such as statistics, finance, engineering, and science, to model and analyze random phenomena and make predictions about future events. They are an essential tool for understanding uncertainty and making informed decisions based on probabilistic outcomes.
The correct answer is a.
To learn more about probabilities click on,
https://brainly.com/question/28097309
#SPJ4
Kelley surveyed people to find their favorite hat color. She is making a circle graph of the data. What is the measure in degrees of the
central angle in the graph for the people that chose red?
Number of Hats
brown: 180
Black: 60
Red: 90
Blue: 120
The measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.
What is the central angle?A central angle is an angle formed by two radii (or rays) that intersect at the center of a circle. It is an angle whose vertex is at the center of the circle, and its sides are the radii that intersect the circle's circumference.
According to the given information:
To find the measure in degrees of the central angle for the people that chose red, we need to calculate the percentage of people that chose red out of the total number of people surveyed, and then convert that percentage into degrees.
Total number of people surveyed = 180 (brown) + 60 (black) + 90 (red) + 120 (blue) = 450
Percentage of people that chose red = (Number of people that chose red / Total number of people surveyed) * 100 = (90 / 450) * 100 = 20%
Now, we can convert the percentage into degrees using the formula for calculating the central angle in a circle graph:
Central angle = (Percentage / 100) * 360
Plugging in the percentage of people that chose red:
Central angle for red = (20 / 100) * 360 = 72 degrees
So, the measure in degrees of the central angle in the circle graph for the people that chose red is 72 degrees.
To know more about central angle visit:
https://brainly.com/question/17718047
#SPJ1
Apply
6. Julian is going to build a birdhouse. The back of the birdhouse has
the dimensions shown. If wood costs $0.17 per square inch, what is
the least he will spend on the back of the bird house? Round to the
nearest hundredth if necessary.
14.60
8 in.
8 in.
Select three expressions equivalent to 36x + 18y.
Answer:
3(12x+6y)
6(6x+3y)
9(4x+2y)
Answer:
Here are three equivalent expressions to 36x + 18y:
18(2x + y)
9(4x + 2y)
6(6x + 3y)
Step-by-step explanation: