A researcher is studying the relationship between the number of TVs owned by a family and the size of the family's electric bill. After collecting data, he finds that the relationship is best modeled by the equation B = 2.43T + 95.66, where B is one month's electric bill in dollars and T is the number of TVs owned by the family. Which of these is a good interpretation of the y-intercept of this model?
Answer:
Step-by-step explanation:
No choice is given but here is the general interpretation.
Y-intercept is where the plot crosses the y-axia at x=0. In this case, x is T which represents number of TVs owned by the family. T=0 meaning there is no TV and B = 96.66 is the one month's electric bill in dollars for all other appliances in the home.
Given function
B=2.43T+95.66Now
Compare to slope intercept form y=mx+b
Slope=m=2.43Y intercept=b=95.66Here y intercept may be the fixed charge .
The legend of a map says that 1 inch = 50 kilometers How many kilometers are in 7.5 inches?
Answer:
375 Km
Step-by-step explanation:
1 inch = 50 km
50 x 7.5 = 375 km
Answer:
375 Km
1 inch = 50 km
50 x 7.5 = 375 km
The human resources department at a large company regularly conducts an employee satisfaction survey. One item on the survey presents employees with the statement, “I am happy overall at work.”
Please help me:)
Answer: C
Step-by-step explanation:
Khan academy
The response that contributed most to the test statistic about human resources department is C. Disagree.
What is test statistic?It should be noted that test statistic simply means a random variable that is used in hypothesis testing.
In this case, the response that contributed most to the test statistic about human resources department is to disagree. This is because there is sufficient evidence to show that they distribution of response is different now than it was before.
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Find the solution of the system of equations.
-
5x – 4y = -9
10x– 7y = -22
Answer:
x = -5
y = -4
Step-by-step explanation:
5x - 4y = -9
10x - 8y = -18
10x - 7y = -22
-y = 4
y = -4
Substitue y into any equation
5x - (-16) = -9
5x = -25
x = -5
Kathy was building a bed for her dollhouse. She used her bed, which is 3 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5 . What are the dimensions of the model bed she built? (1 point) 0.06 ft × 0.1 ft 0.3 ft × 0.5 ft 0.03 ft × 0.05 ft 0.6 ft × 01 ft
Answer:
0.6 x 0.1
Step-by-step explanation:
HELPPPPPPPPP!
Wanda spun a spinner 30 times, and the results were recorded in the following tally chart
Answer:
30%
Step-by-step explanation:
So she spun the spinner 30 times so we divide the number of times she got solid by the 30 to get the answer in a percentage :)
9/30 = 0.3
Now we multiply the 0.3 by 100 to get it as a percent!
0.3 x 100 = 30%
Now you know how to find the probability of an object!
Have a great day!!
Please rate and mark brainliest!!
Explanation:
Count the tally marks for the "solid" in the middle row. The first portion is a group of 5 as shown by the slash mark. The second portion of that row is one short of five, so it's another 4 tallies. Overall, we have 5+4 = 9 tallies for the "solid".
This is out of 30 spins total. Therefore, we arrive at 9/30 = (3*3)/(3*10) = 3/10
what is the measure of angle F????
Answer:
Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)
Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees
This means angel F equals:
360 degrees - 312 degrees = F degrees
F = 48 degrees
In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
!!40 points and Brainliest if it’s correct!!ANSWER IT ONLY IF YOU KNOW THE ANSWER. IF YOU DONT KNOW DONT ANSWER IT. Make sure you explain please!
Which of the following shows the correct first step to solve x^2 - 16x = -21 by completing the square?
A)x^2 - 16x + 64 = -21
B) x^2 - 16x + 64 = -21 + 64
C) x^2 - 16x + 16 = -21 + 16
D) x^2 - 16x + 8 = -21 + 8
For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :
[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]
Which suits the B) option
Hence, Option B) is correct
Find the MEAN of the following:
13, 19, 17, 10, 22, 14, 17
Mean: 16
To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.
1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112
2. 112 / 7 = 16
3. The mean is 16.
Answer: 16.
Step-by-step explanation: To find the mean of any given data, you need to add all the data. The work is below:
13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.
Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data. The work is below:
112 / 7 = 16.
Therefore, the mean of this data is 16.
Hope this helps! :)
Rob goes to the gym 3 times a week work out how many times he goes to the gym in
a• four weeks
b• one year
Answer:
a=12 times
b=156 times
Step-by-step explanation:
4 weeks=month
4*3=12
52 weeks=1 year
52*3=156
Therefore he goes 12 times a month, and 156 times a year.
Please help!
A: 128°
B: 92°
C: 36°
D: 52°
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D
Round 68.09 to 2 Sf please
Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
Mr. endres wants to put fencing around his rectangular shaped backyard. the width of the backyard is 42 feet and the length is two times the width. how many feet of fencing does mr. endres need?
The the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
What is the Perimeter of a Rectangle?Perimeter = 2(length + width).
The number of feet needed for the fence around the rectangular garden = perimeter of teh rectangular garden.
Given the following:
Width = 42 ft.Length = 2(42) = 84 ft.Plug the values into Perimeter = 2(length + width):
Perimeter of the rectangular garden = 2(42 + 84)
Perimeter of the rectangular garden = 252 ft
Therefore, the the number of feet needed for the fence of the rectangular garden = its perimeter = 252 ft.
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Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).
b(n)=
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
How to determine the explicit formula?The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
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2 1/2 pounds =. Ounces
I need help
Answer:
32 and a half
Step-by-step explanation:
The equivalent ratios are 6 : 3,
Answer:
2:1
Step-by-step explanation:
divide 6 by 3 to get 2 and divide 3 by 3 to get 1 making the awnser 2:1
please help me with this, I will give brainliest.
find the value of x round to the nearest 10th
[tex]\tan x = \dfrac{\text{Opposite}}{\text{Adjacent}}\\\\\implies \tan x = \dfrac{12}{6}\\\\\implies \tan x = 2\\\\\implies x = \tan^{-1} (2)=63.4^\circ[/tex]
Answer:
x ≈ 63.4°
Step-by-step explanation:
using the tangent ratio in the right triangle.
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
x = [tex]tan^{-1}[/tex] ( 2) ≈ 63.4° ( to the nearest tenth )
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
The two dot plots show the number of guests per night.
The data for each is taken from a random sample within a 10
10
-week period.
Complete the statements below.
A dot plot or for chart is a statistical plot consisting of data points that are plotted on a scale using dots.
What is a dot plot?Your information is incomplete. Therefore, an overview of a dot plot will be given. A dot plot is a data visualization where the day points are plotted as dots on the graph.
Dot plots are used for relatively small data sets. It uses the dots to show where the data values in the distribution are.
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Hope this helps!! :)
3 students are in a race. How many ways can they finish in 1st, 2nd, and 3rd place?
Help please
What is 600 square feet converted to square yards?
Answer:
66.6667
Step-by-step explanation:
100% correct mark brainliest
13, 39, 117, ...
Find the 6th term.
The sixth term of the sequence 13, 39, 117, ... is 243
How to determine the value of tthe 6th term?The definition of the function is given as
13, 39, 117, ...
The above definitions imply that we simply multiply 3 to the previous term to get the current term
using the above as a guide,
So, we have the following representation
an = 13(3)^(n - 1)
For the 6th term, we have
a(6) = 13(3)^(6 - 1)
Evaluate
a(6) = 243
a₃ = 9 + 3
Hence, the value of the 6th term is 243
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How do I find the fraction that 480 is divided by to get 300
Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar: 480/300The number above the bar is the numerator: 480 The number below the bar is the denominator: 300 The fraction bar means that the two numbers are dividing themselves: 480/300 = 480 ÷ 300 Divide the numerator by the denominator to get fraction's value: Value = 480 ÷ 300 'Percent (%)' means 'out of one hundred': p% = p 'out of one hundred', p% = p/100 = p ÷ 100 The fraction 100/100 = 100 ÷ 100 = 100% = 1 Multiply a number by the fraction 100/100, ... and its value doesn't change.To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. To calculate the greatest common factor, we build the prime factorization of the two numbers. Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 480 = 25 × 3 × 5; 480 is not a prime, is a composite number; 300 = 22 × 3 × 52; 300 is not a prime, is a composite number; * Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.A proper fraction: numerator smaller than denominator. 8 ÷ 5 = 1 and remainder = 3 => 8 = 1 × 5 + 3 => 8/5 = (1 × 5 + 3) / 5 = (1 × 5) / 5 + 3 / 5 = 1 + 3/5 = 1 3/5 As a decimal number: 1 3/5 = 1 + 3/5 = 1 + 3 ÷ 5 = 1.6As a percentage: 1.6 = 1.6 × 100/100 = 160/100 = 160%HELP PLEASE ASAP I WILL MARK BRAINLIEST
Answer:
BC = 24
Step-by-step explanation:
FD = 36, FE = 15 and CD = 18
By secant theorem.
DE • DF = CD • DB
(36 - 15) • 36 = 18 • DB
DB = 42
BC = DB - CD
BC = 42 - 18
BC = 24
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Match the following
A)
B)
C)
(Sorry if I didn’t put a picture it won’t let me do it…)
Answer:
No picture
Step-by-step explanation:
*will give free brainliest* You estimated that you would need 252 more points to move up a level on your favorite video game. But after earning just 240more points, you leveled up! What was your percent error?
Answer:
5%
Step-by-step explanation:
(240 - 252/240)×100
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)
Answer:
A = 3x² - x - 10
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width , then
A = (3x + 5)(x - 2)
each term in the second factor is multiplied by each term in the first factor.
A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis
= 3x² - 6x + 5x - 10 ← collect like terms
= 3x² - x - 10
Answer:
A = 3x² - x - 10
Step-by-step explanation:
A = length × width
A = (3x + 5)(x - 2)
A = 3x(x - 2) + 5(x - 2)
A = 3x² - 6x + 5x - 10
A = 3x² - x - 10
The fifth grade classes are having a food drive. There are 84 students in the fifth grade. The goal is for each student to collect 16 cans of food. How many cans will be collected in all if each fifth-grader achieves the goal?
Hey there!
Easy word problem
Since there are 84 students total and their goal is to collect 16 cans
We multiply
=> 84 × 16 ⇒ 1,344
Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal
The cities of fayetteville, raleigh and durham form a triangle. they are building a new
baseball stadium. how should they determine where to place the stadium so it is the
same distance from all three cities to the stadium? assume a direct path.
Answer:
it should be built at the centre