The question is incomplete. Here is the complete question.
A cell phone company is interested in the relationship between the number of texts per minute for their customers (y) and customer age. Based on the data collected, the least-squares regression line is [tex]y=3.27+2.14x[/tex], where x is the number of years by which age exceeds 12. Which of the following statements best describes the meaning of the slope of the least-squares regression line?
a. For each increase in age of 1 year, the estimated number of texts per minute increases by 3.27.
b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
c. For each increase of one text per minute, there is an estimated increase in age of 3.27 years.
d. For each increase of one text per minute, there is an estimated increase in age of 2.14 years.
e. The slope has no meaning because the units of measure for x and y are not the same.
Answer: b. For each increase in age of 1 year, the estimated number of texts per minute increases by 2.14.
Step-by-step explanation: The least-squares regression is a method of fitness, i.e., it fits a data set of number into an equation.
In this case, the relationship between number of texts per minute and customer age is given by a line equation:
[tex]y=3.27+2.14x[/tex]
in which, y represents the number of texts per minute and x is the age.
In a line equation, slope is the measure of steepness, i.e., how inclined the line is.
In the least squares regression line, slope is 2.14 and it means, in each additional year, the number of texts increase by a factor of 2.14, which is the correct alternative.
how do I graph the proportional relationship of y=2.25×
Answer:
[tex]y = 2.25x \\ \boxed{y = \frac{9}{4} x}[/tex]
Slope=9/4 and intercept=0Coordinates :---
• (x, y)
→(-2, -9/2)
→(-1, -9/4)
→(0, 0)
→(1, 9/4)
→(2, 9/2)
6x + 2(3x – 9y + 5) + (-9)
WILL MARK BRAINLIEST
30 POINTSSS
Answer: 2/5y and -.2y are like terms, and -6 and -2 are like terms
Step-by-step explanation:
Answer:
Hey! Seems like you already have an answer but I am going to tell you why it's your answer!
Step-by-step explanation:
So 2/5y and 0.2y are like terms because they both have a letter at the end are a variable. Now -6 and -2 or both negative numbers so what you're looking out for or matching sign's like the one's I put above hope this helps a bit!!! Good Luck!!!!
Suppose we want to estimate the average weight of an adult male in Mexico. We draw a random sample of 2,000 men from a population of 3,000,000 men and weigh them. We find that the average person in our sample weighs 200 pounds, and the standard deviation of the sample is 30 pounds. Calculate 94%,98%,96% confidence interval
Answer:
1.- CI = 94% ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.- CI = 98 % ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 % ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Step-by-step explanation:
Sample size n = 3000000
Sample mean x = 200
Standard deviation s = 30
From z-table values of z(c):
CI 94 % Confidencial level α = 6 % α = 0,06 z(c) = 1,55
CI 98 % Confidencial level α = 2 % α = 0,02 z(c) = 2,05
CI 96 % Confidencial level α = 4 % α = 0,04 z(c) = 1,75
MOE = z(c) * σ/√n
1.-MOE = 1,55* 30 / √2000 MOE = 1,04
2.-MOE = 2,05*30/√2000 MOE = 1,38
3.-MOE = 1,75*30/√2000 MOE = 1,17
Then CI
1.- CI = 94 % ( μ₀ - MOE < x < μ₀ - MOE )
CI = ( μ₀ - 1,04 < x < μ₀ + 1,04 )
2.-CI = 98 %
CI = ( μ₀ - 2,05 < x < μ₀ + 2,05 )
3.- CI = 96 %
CI = ( μ₀ - 1,75 < x < μ₀ + 1,75 )
Using the t-distribution, it is found that:
The 94% confidence interval is (198.73, 201.27).The 96% confidence interval is (198.61, 201.39).The 98% confidence interval is (198.43, 201.57).We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 200[/tex]. Sample standard deviation of [tex]s = 30[/tex]. Sample size of [tex]n = 2000[/tex].The interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which t is the critical value for the two-tailed confidence interval.Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]
The 94% confidence interval is (198.73, 201.27).
Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]
The 96% confidence interval is (198.61, 201.39).
Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]
The 98% confidence interval is (198.43, 201.57).
You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795
An item is originally $52. It is on sale for 20% off. What is the sale price?
Answer:
$41.6
Step-by-step explanation:
20/100 x 52 = 10.4
52 - 10.4 = 41.6
what is equivalent to 60% of 25
the pie chart shows the information about the favourite ice cream flavour of each student in a school there are 720 students in a school complete the table
Answer:
chocolate= 180 students
vanilla= 120
strawberry= 210
mango= 210
Step-by-step explanation:
The chocolate section of the pie chart is at a right angle (90 degrees), which means a quarter of the students prefer chocolate
720/4= 180
The vanilla section is 60 degrees which is 2/3 of 90
180/3=60
60x2=120
the mango and strawberry sections represent whats left which is 420 students. The sections are equal to each other so they're each 210 students
What does (Y) equal?
2(5 + y) = 18
Answer:
y = 4
Step-by-step explanation:
distribute
10 + 2y = 18
minus 10 from both sides
2y = 8
divide by 2
y = 4
Answer: y=4
Step-by-step explanation:
2(5+y)=18
youre going to start by distributing the 2 to (5+y)
10+2y=18
then subract 10 from 18
2y=8
and then divide 2 on both sides
y=4
Please solve this
Need help
Answer:
See answer below
Step-by-step explanation:
There is NO elementary function that gives the antiderivative of e^(-x^2)
This expression in fact is called the Gaussian integral, since it gives the Gaussian bell curve.
Its integration is done by numerical methods, it is widely used in Statistics, and there are tables to calculate definite integrals associated with probability distributions.
K-3/2=10 then k=??????? Helpppppppppppppppppppp meeeeeeee
Answer:
11 1/2 or 23/2
Step-by-step explanation:
K = 10 + 3/2 = 10 + 1 + 1/2
If y is 9, what is x?
Answer:
Ima just steal the points
Step-by-step explanation:
Please answer this correctly without making mistakes
On a certain hot summer's day, 195 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $383.75. How many children and how many adults swam at the public pool that day?
Answer:
3x-x+2=4
Step-by-step explanation:
Children = x
Adults = y
x + y = 754...1
1.50x + 2.25y = 1422...2
Multiply (1) by 2.25
2.25x + 2.25y = 1696.50...3
1.50x + 2.25y = 1422...2
Subtract (2) from (3)
0.75x = 274.50
x = 366
Substitute x = 366 in (1)
x + y = 754
366 + y = 754
y = 388
366 children and 388 adults swam at the pool.
What is the answer for 5x+17>37
Answer:
x > 4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
Please help me asap
Answer:
the answer is C. y=3x-4
Step-by-step explanation:
the slope can be found by taking two points and putting them in this equation:
[tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1} }[/tex]
so using the first two points, the equation would be
[tex]\frac{2-(-1) }{2-1}[/tex]
giving you 3 for the slope
the y-intercept (where x=0) is found by subtracting 3 from -1 which is -4.
c=5
9/5c +32=
9/5 × 5/1
45/5+32
9+32
c=41
Brushing up on skills but wasn't sure. May I have help, please? Thank you!
Correct.
9/5c+32
substitute c to 5
multiply 9/5 to 5
then add 32
Done
Set A = 2,5, 6, 8, 11
Set B= 3, 4, 6, 9, 10, 12
What is the union of sets A and B?
April invests in an annually compounded account with an interest rate of 4.1%. After 6 years, she plans to have $8600 in her account. For this to be true, what must be her initial investment?
Answer:
d
Step-by-step explanation:
i think so
Answer:
Step-by-step explanation:
6758
Must round 6757.62 to nearest whole
Solve the equation X-12/4=9
X=44
X=83
X=48
X=25
Answer:
X=48
Step-by-step explanation:
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Consider the division expression 7 1/2÷ 2. Select all multiplication questions that correspond to this division expression.
A. 2 x ? = 7 1/2
B. 7 1/2 x ? = 2
C. 2 x 7 1/2 = ?
D. ? x 7 1/2 = 2
E. ? x 2 = 7 1/2
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Step-by-step explanation:
7 [tex]\frac{1}{2}[/tex] ÷ 2
A. 2 × ? = 7[tex]\frac{1}{2}[/tex]
Divide 2 on both sides to bring all the constants on one side...
? = 7 1/2 ÷ 2
B. 7 1/2 x ? = 2
Divide 7 1/2 on both sides to isolate the ?
? = 2 ÷ 7 1/2
C. 2 x 7 1/2
You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2
D. ? x 7 1/2 = 2
Divide 7 1/2 on both sides
? = 2÷ 7 1/2
E. It's basically the same thing as A
Whatever is bolded is the answer
I hope this made sense and I hope this helps!!!
2,400 divided by what is 30?
Answer:
80
Step-by-step explanation:
Just use 2,400 / 30 to solve. The answer should be 80:
Therefore, 2,400 / 80 = 30
Hope this helps :)
Tell whether x and y show direct variation. Explain your reasoning.
1. x + y = 6
2. y - x = 0
3. y/x = 20
4. x = y + 2
Answer:
a certain number that i do not know
Step-by-step explanation:
a certain number that i do not know
Help Please!! i will give 25 points and Brainliest answer!!
Answer:
L x W (original)
(L+3) x w (one dimension changed)
(L+3)(W+3) (both dimensions changed)
Step-by-step explanation:
Rectangle when one dimension increase 3 units, area will change from original (L and w are its two sides)
L x W to (L+3) x w
If both dimension increase 3 units, the area will become
(L+3)(W+3)
There is a bag with only red marbles and blue marbles the probability of randomly choosing a red marble is 7/12 there are 42 red marbles in the bag and each is equally likely to be chosen work out how many marbles there must be
Answer:
72
Step-by-step explanation:
Given that:
P(Red) = Probability of randomly choosing a red
Probability of randomly choosing a red = 7/12
Number of red marbles = 42
The number of marbles in the bag :
P(Red) = number of red marbles / total number of marbles
Total number of marbles = (red marbles + blue marbles)
P(red) = 7/ 12 ;number of red = 42
P(Red) = number of red marbles / total number of marbles
Let:
x = total number of marbles
7/12 = 42 / x
(7/ 12)x = 42
7x / 12 = 42
7x = 12 * 42
7x = 504
x = 504 / 7
x = 72
Eureka has 20 yo-yos she has two times as many yo-yos as Polly how many yo-yos does polly have?
Answer:
Polly has 10 yo-yos.
Step-by-step explanation:
Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:
Polly's Yo-yos = X
Eureka's Yo-yos = 2X
20 = 2X
20/2 = X
10 = X
Therefore, Polly has 10 Yo-yos, half the number Eureka has.
Answer:
10
Step-by-step explanation:
21. Solve and graph:
7(h+3) > 6(h - 3)
Answer: h>-39
Step-by-step explanation:
can someone pls help me! thank you!
Answer:
6 hours
Step-by-step explanation:
she played game 25% of the time.
25% of 30 hours is 7.5 hours
she researched 5% of the time.
5% of 30 hours is 1.5 hours
so she played game 7.5-1.5=6 more hours than she researched
The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
Answer:
105 miles in 3 hours
Step-by-step explanation:
Your Welcome
frances can complete 91 oil changes in 7 days How many oil changes can Frances complete in 11 days .
Answer:
143
Step-by-step explanation:
Please help I will give you a brainliest
Answer: it is red
Step-by-step explanation:
With an increase in temperature, the particles move faster as they gain kinetic energy