Answer:
Step-by-step explanation:
70+59+55+25+30+17=276
The probability that the person selected at random doesn't use any facility is 0.25
What is probability?The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.
From the question:
Total people in the sport centre=125Number of people that used all three facility=6Number of people that used only gym and pool=25-6=19Number of people that used only pool and track=39-6=24Number of people that used only gym and track=17-6=11Number of people that used only gym=59-(6+11+19)=26Number of people that used only pool=79-(6+19+24)=21Number of people that used only track=55-(6+11+24)=14Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121
The number of persons that doesn't use any of the facility=125-121=4
Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25
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14. A surveyor observes that the top of a building makes an angle of 32° with the road.From another location 300 ft. from the base of the building, the angle of elevation is 22°How far is the base of the building from the first observation point, ×, on the road?
Considering h as the height of the building, we have the following set of relations for a right triangle:
[tex]\begin{gathered} 300\cdot x=h^2 \\ h=300\cdot\tan22\degree \\ h\approx121\text{ ft} \\ \therefore x=\frac{121^2}{300}\approx49\text{ ft} \end{gathered}[/tex]dr. guidry has decided to examine one of her relationships with a scatterplot to double-check for a curvilinear relationship. which relationship will be most important for her to examine?
Linear regressions can help to examine a curvilinear relationship.
It is possible for two variables to have a relationship known as a curvilinear relationship, in which one variable rises along with the other, but only until a certain point, beyond which the other variable falls as the rise of the first continues.
To evaluate the relationship between two numerical variables visually, scatterplots are utilized. Usually, the X axis represents the explanatory variable and the Y axis represents the dependent variable.
By generating a line that best fits your data, regression takes correlation a step further. While a straightforward linear regression analysis still gives us the R2 value, it now gives us a number that indicates the strength (slope) of the association between X and Y. This knowledge improves our comprehension of the underlying relationship and can be applied to forecast Y values given a certain value of X. However, instead of testing the null hypothesis that the slope of the line depicting the relationship between X and Y is zero, T-tests are now employed.
Hence linear regressions can help to examine a curvilinear relationship.
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Someone pls quickly answer these.
Five pulse rates are randomly selected from a set of measurements. The five pulso rates have a mean of 74 4 boats per minute. Four of the pulse rates are 84, 66, 79, and 57a. Find the missing valueb. Suppose that you need to create a list of n values that have a specific known mean. Some of thon values can be freely selected. How many of the n values can be froely assigned before the remaining valuesare determined? (The result is referred to as the number of degrees of freedom.)a. The missing value isbeats per minute
(a)
We have five pulse rates randomly selected with a mean of 74.4 beats per minute. We have four pulse rates given. We let x be the value of the fifth pulse rate. We have n equals 5 here since we have sample space of 5. We illustrate the mean of the pulse rates as
[tex]\begin{gathered} \operatorname{mean}=\frac{\sum x}{n} \\ \\ 74.4=\frac{84+66+79+57+x}{5} \end{gathered}[/tex]Let's solve for the value of x. We have
[tex]\begin{gathered} 74.4=\frac{286+x}{5} \\ 286+x=(74.4)\cdot5 \\ 286+x=372 \\ x=372-286 \\ x=86 \end{gathered}[/tex]Hence, the missing value is equal to 86.
Answer: 86
(b) The number of degrees of freedom is calculated using the equation
[tex]\text{Degrees of freedom}=n-1[/tex]We already identified that the sample space n is equal to 5. Hence, the degrees of freedom is equal to
[tex]\text{Degrees of freedom}=5-1=4[/tex]Answer: 4
How do properties of interger exponents help you write equivalent expressions
Answer:
The product of powers property says that when we multiply powers with the same base, we just have to add the exponents. So, xaxb = x(a + b). As you can see, we keep the base the same and add the exponents together.
Step-by-step explanation:
Some one help me please!
The number that is a surd is the number that is irrational. The given numbers are being classified as either surd or not a surd below.
What is a surd?A surd is defined as the representation that is made up of square root or cube root for numbers that are not a perfect square or that are irrational.
For example, √7, √3, and √5 is a surd while √4 and √25 is not a surd.
The following numbers are classified as surd or no surd:
√80 = surd.
√2 × √6 = √ 12 = Surd
√216 = surd
2√3× √27 = 2√ 3× 27 = 2√ 81 = 2 × 9 = 18 = Not sure
2√28 = surd
√96 - √ 54 = √ 96-54 = √42 = surd
4√169 = 4× 13 = 52 = Not surd
√108 - 2√27 = 2√108-27 = 2√ 81 = 2*9 = 18 = Not surd
√30/√6 = √5= Surd
2/3√45 + 1/2√80 = surd
√75/√3 = √25 = 5 = Not surd
√126/√7-√162 = Surd
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Hello may you please help me
The value of x for the given triangle is 30°.
According to the question,
We have the following information:
We have a triangle.
Three angles of the triangle are x°, 65° and (x+55)°.
We know that the sum of all the three angles of a triangle is 180°.
So, the sum of these angles will be 180°.
Now, adding three angles:
x° + 65° + (x+55)° = 180°
(2x+120)° = 180°
2x = 180-120
2x = 60
x = 60/2 (2 was in the multiplication on the left hand side. So, it is in the division on the left hand side.)
x = 30°
Hence, the value of x in the angles of the given triangle is 30°.
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Find the missing number so that the equation has no solutions. -4(-X + 8) = -3(2x + 7) + __x + 9
In order to have an equation with no solution, the variable x should not appear in the equation and the final sentence must be false.
So, using the variable 'y' to represent the missing number and simplifying the equation, we have:
[tex]\begin{gathered} -4(-x+8)=-3(2x+7)+yx+9 \\ 4x-32=-6x-21+9+yx \\ 4x+6x-yx=32-21+9 \\ 10x-yx=20 \\ (10-y)x=20 \end{gathered}[/tex]Since we want the variable x to disappear (this way we will have 0 = 20, which is false), we need the coefficient (10 - y) to be zero:
[tex]\begin{gathered} 10-y=0 \\ y=10 \end{gathered}[/tex]So the missing number is 10.
A dinner set was marked $ 532 and a discount of 12% was offered on its marked price. Find the sale price of the dinner set.
Answer:
$468.16
Step-by-step explanation:
answer key
Triangle STU, with vertices S(2,2), T(7,3), and U(5,6), is drawn inside a rectangle, as
shown below.
10
Answer: A =
A =
10
00
7
6
5
S
T
What is the area, in square units, of triangle STU?
10
units²
Submit Answer
The required area of triangle Δ STU would be 4 square units.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
The given triangle Δ STU, with vertices S(2,2), T(7,3), and U(5,6), is drawn inside a rectangle.
The area of triangle Δ STU = rectangle ABCS - Δ ABS - Δ BTU - Δ STC
The area of triangle Δ STU = 4 × 5 - 1/2 × 3 × 4 - 1/2 × 5 × 1 - 1/2 × 3 × 2
The area of triangle Δ STU = 8/2
The area of triangle Δ STU = 4 square units
Hence, the required area of triangle Δ STU would be 4 square units.
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a binomial experiment with probability of success and trials is conducted. what is the probability that the experiment results in or more successes? do not round your intermediate computations, and round your answer to three decimal places. (if necessary, consult a list of formulas.)
The probability that the experiment results in 9 or more successes = 0.0676
A binomial distribution is given by,
P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ ,
where p is the probability of success and x is the random variable for success in n trials.
A binomial experiment has only two outcomes- success or failure.
Here, the number of trials, n = 10
Probability of success = 0.63
The probability for 9 or more success = P( X = 9, 10)
= P (X = 9) + P(X = 10)
So P( X = 9) = ¹⁰C₉ (0.63)⁹ (1-0.63)¹⁰⁻⁹
= 10 x 0.0156 x 0.37
= 0.05772
and P(X = 10) = ¹⁰C₁₀ (0.63)¹⁰(1-0.63)¹⁰⁻¹⁰
= 1 x 0.009849 x 1
= 0.009849
Hence probability for 9 or more success = 0.05772 + 0.009849
= 0.067569
= 0.0676
The question is incomplete. Find the complete question below:
A binomial experiment with probability of success 0.63 and 10 trials is conducted. What is the probability that the experiment results in 9 or more successes? Do not round your intermediate computations, and round your answer to three decimal places. (If necessary, consult a list of formulas.)
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The number of alligators in a wildlife preserve inLouisiana can be shown with the exponential functionf(0) = 3450(1.04)++! Find the average growth rate ofchange from the 4th year to the 7th year.
Given data:
The given function is f(x)=3450(1.04)^(x+1).
The
Pls Help will give brainliest
Anita earns 60 points every time she shops at a grocery store. She needs a total of 2,580 points to receive a free prize. So far, she has earned 480 points. How many more times will Anita have to shop at the grocery store in order to earn the additional points she needs for a free prize?
Answer:
35Step-by-step explanation:
So she needs 2580 points
she has already earned 480, so let's subtract that
that leaves up with 2100 more points
she earns 60 points every shop
so lets divide 2100 by 60
2100÷60=
35
Anita will have to shop at the grocery store 35 more times to earn the additional points she needs for a free prize.Answer:
43 total ,35 more times need to get 2,580
Step-by-step explanation:
2580:60=43
60x8=480
43-8=35
Heraldo starts a push-up challenge, and on the first day does 10 pushups, the second day he does 13, the third day he does 16, and so on.
Write the recursive definition for this sequence, and then find how many pushups he should do on the 20th day, if he continues.
Answer:
Day 20 = 67 pushups (64+3)
Step-by-step explanation:
Day 1 = 10 pushups Day 2 = 13 pushups (10+3) Day 3 = 16 pushups (13+3)
He does three more pushups each day.
So day 4 = 19 pushups (16+3)
Day 5 = 22 pushups (19+3)
Day 6 = 25 pushups (22+3)
Day 7 = 28 pushups (25+3)
Day 8 = 31 pushups (28+3)
Day 9 = 34 pushups (31+3)
Day 10 = 37 pushups (34+3)
Day 11 = 40 pushups (37+3)
Day 12 = 43 pushups (40+3)
Day 13 = 46 pushups (43+3)
Day 14 = 49 pushups (46+3)
Day 15 = 52 pushups (49+3)
Day 16 = 55 pushups (52+3)
Day 17 = 58 pushups (55+3)
Day 18 = 61 pushups (58+3)
Day 19 = 64 pushups (61+3)
Day 20 = 67 pushups (64+3)
Nutrition: A cat food manufacturer uses fish and beef by-products. The fish contains 12 g of protein and 3 g of fat per ounce. The beef contains 6 g of protein and 9 g of fat per ounce. Each can of cat food must contain at least 60 g of protein and 45 g of fat. Find a system of inequalities that describes the possible number of ounces of fish and beef that can be used in each can to satisfy these minimum requirements. Graph the solution set. Find its vertices.
A cat food manufacturer uses fish and beef by-products.
Let the number of ounces of fish = x
Let the number of ounces of beef = y
The fish contains 12 g of protein and 3 g of fat per ounce.
fish = 12x + 3y
The beef contains 6 g of protein and 9 g of fat per ounce.
Each can of cat food must contain at least 60 g of protein and 45 g of fat.
so,
[tex]\begin{gathered} 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}[/tex]Beside the above inequalities both of x and y must be greater than 0
so, the system of inequalities will be:
[tex]\begin{gathered} x\ge0 \\ y\ge0 \\ 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}[/tex]The following figure represents the solution of the system:
As shown in the graph, the vertices are:
( 0 , 10 ) , (3 , 4 ) , ( 15 , 0 )
which expression is equivalent to (2x^2+4x-7)(x-3) pls help soon
Answer:
Since you do not have any answer choices, I will step-by-step solve the equation for you. Typically what happens with problems like this is the answer choices will match the work when solving. So, pay attention to my scratch-work and if any answers match the answer choices, then that is most likely the correct answer. (Hint: the solution to the equation is most likely the correct answer)
Write the equation:
(2x^2 + 4x – 7)(x – 3)
Simplify and Distribute:
(2x^2 + 4x – 7)(x – 3)
2(x – 3)^2 + 4x(x – 3) – 7(x – 3)
2x^3 – 6x^2 + 4x
(x – 3) – 7(x – 3)
2x^3 – 6x^2 + 4
x^2 – 12x – 7(x – 3)
2x^3 – 6x^2 + 4
x^2 – 12x – 7x + 21
Combine Like Terms:
2x^3 – 2x^2 – 12x – 7x + 21
2x^3 – 2x^2 – 19x + 21
Solution:
2x^3 – 2x^2 – 19x + 21
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Ciara how’s it going with the total area of (3x^2+4x) Square feet.What is the length and the width of the garden? explain
Ok, since we know that the area of a rectangle is given by the product of the width times the length, and the area is given to us by the function 3x^2+4x, we then factor the function of area:
[tex]3x^2+4x=x(3x+4)[/tex]By the previous definition, we will have that the lenght of the garden will be 3x+4 and the widht of the garden will be x.
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 40 degrees C each month. His data contained -
1-8 is for the data set below
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 40 degrees C.
2) Find the median for his data set of days that had a temperature above 40 degrees C.
3) Find the mode for his data set of days that had a temperature above 40 degrees C.
4) If, instead, there are 5 more days per month that had a temperature above 40 degrees C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 40 degrees C, what will be the mode for the data?
6) If the number of days per month that had a temperature above 40 degrees C, doubles each month in that year, what will be the median for the data?
7) For what value of x will 9, 16 and x have the same mean (average) as that of 26 and 12?
8) For what value of x will 55 and x have the mean (average) as 67?
9) The mean (average) weight of three boys is 40 pounds. One of the boys weighs 50 pounds. The other two boys have the same weight. Find weight of each of the boys?
10) A cat consumes 2 cups of milk every day. How much milk does that cat drink on an average in a week?
11) What is mode for above question?
The mean, median and mode are as follows:
1. 11.75
2. 11.5
3. 11 and 14
4. 16.75
5. 13 and 16
6. 23
7. 32
8. 79
9. 35
10. 14
11. 2
What are mean, median and mode ?The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.
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Consider the function y=(x−1)2+3.(a) Give the coordinates of the vertex of the graph of the function.(b) Graph the function on a window that includes the vertex.
Given function is
[tex]y=(x-1)^2+3[/tex]The vertex of the graph is at (1,3).
Select the correct answer from each drop-down menu.
Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a
.
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a
.
Answer:
1. (x+6, y-2)
2. reflection across the x-axis
Step-by-step explanation:
right answer gets brainlist pls help asap
Answer:
6 units
Step-by-step explanation:
count the units between the two points
how do you factor the polynomial expression 16y4-625x4
We have the following:
[tex]16y^4-625x^4[/tex]factoring:
[tex]\begin{gathered} (4y^2)^2-(25x^2)^2=\mleft(4y^2+25x^2\mright)\mleft(4y^2-25x^2\mright)=(4y^2+25x^2)\mleft(2y+5x\mright)\mleft(2y-5x\mright) \\ \end{gathered}[/tex]Therefore, the answer is:
[tex]\mleft(4y^2+25x^2\mright)\mleft(2y+5x\mright)\mleft(2y-5x\mright)[/tex]Tell whether the value is a solution of the inequality -1 > -x/2; x=3
Answer:
Yes, X = 3 is a solution
Step-by-step explanation:
We start by inputing 3 into the equation giving us -1 > -(3)/2
This means we have -1 > -3/2
Now we have to determine if this statement is true.
-1 Is greater than -3/2, because -3/2 is -1.5 as a decimal which is less than -1.
Meaning 3 is a solution
please help please pleaseeee
Answer: x=59
Step-by-step explanation:
360-296=(x-24)+29
64=x+5
59=x
3x+7y=63 solve for x
Answer:
[tex]x = 21 - 2\frac{1}{3}y[/tex]
Step-by-step explanation:
3x + 7y = 63
Minus 7y from both sides, then you get...
3x = 63 - 7y
Now we divide both sides by three to find the value of x:
[tex]x = 21 - 2\frac{1}{3}y[/tex]
Find the inverse of:f (x) = 4x3 + 1
1. replace f(x) with y
[tex]y=4x^3+1[/tex]2. Replace every x with a y and replace every y with an x
[tex]x=4y^3+1[/tex]3. Solve for y:
[tex]\begin{gathered} 4y^3=x-1 \\ y^3=\frac{x-1}{4} \\ y=\sqrt[3]{\frac{x-1}{4}} \end{gathered}[/tex]4. Replace y with f−1(x):
[tex]f^{-1}(x)=\sqrt[3]{\frac{x-1}{4}}[/tex]a researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the alternative hypothesis (h1) say about the treatment?
The alternative hypothesis(h1) says that the treatment causes a change in the scores.
What is a hypothesis test?
In statistics, hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The data type used and the study's purpose will determine the methodology the analyst uses.
Using sample data, hypothesis testing determines whether a claim is plausible. These data could originate from a broader population or a process that creates data.
Hence, the alternative hypothesis(h1) says that the treatment causes a change in the scores
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square root 5(square root10+square root 2
Answer:
(Decimal: 10.233345)
Step-by-step explanation:
√5(√10+√2
√5(√10+√2)
=√10+5√2(Decimal: 10.233345)
Evaluate the function.
f(x) = x² + 6x - 9
-
Find f(7)
Answer:
82
Step-by-step explanation:
Since x=7, you would put that value into the equation. i.e put that value, of 7, instead of x.
x² + 6x - 9
7² + 6(7) - 949 + 42 - 982writing and solving inequalities the sum of eight times a number and negative four exceeds twelve
To do this, you first write the sentence in mathematical language, like this
[tex]8x+(-4)>12[/tex]Where x is that number mentioned in the sentence. So solving for x you have
[tex]\begin{gathered} 8x+(-4)>12 \\ 8x-4>12 \\ \text{Add 4 both sides of the inequality} \\ 8x-4+4>12+4 \\ 8x>16 \\ \text{Divide by 8 on tho both sides of the inequality} \\ \frac{8x}{8}>\frac{16}{8} \\ x>2 \end{gathered}[/tex]Therefore,