MATHEMATICS HIGH SCHOOL

A hungry college student just finished eating a large cheese and pepperoni pizza from Doug's Pizza Palace and felt there wasn't enough cheese and pepperoni on it as he has had large pizzas with more cheese and pepperoni on it from this place in the past. This led him to wonder what the average weight of a large cheese and pepperoni pizza was at Doug's Pizza Palace. Doug ordered a large cheese and pepperoni pizza from Doug's Pizza Palace on 15 randomly selected days during a particular term and weighed each before eating it. Suppose all conditions are met for inference using the one-sample t-methods. The student constructed a 95% confidence interval for the population mean using the one-sample t-methods. How many degrees of freedom does the t critical value have?

Answers

Answer 1

Answer:

Answer: 14

Step-by-step explanation:

Degrees of freedom is the number of values in the evaluation of a test statistic that are free to vary.

For t-statistic , the degree of freedom for a sample with sample size 'n' is given by :-

$df=n-1$

Given : Sample size : n-1

Then, the number of degrees of freedom the t-value will have :-

$df=15-1=14$

Hence, the t-value will have 14 degrees of freedom.

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Solve the system of equations. If there is no solution or infinite solutions, select the appropriate option below.y= x-4; y= 6x-10
the ski team has a race in 3 hours and it is 120 miles away. the team drives 50 miles each hour. will they arrive at the same time?
What is the value of x in the equation −6 + x = −2?8 4 −4 −8
What is the value for ƒ(x) = 42x - 100 when x = 2 ?
The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap. What is an expression equivalent to 4d - 4?

Marlon asks a friend to think of a number from 5 to 11. What is the probability that Marlon’s friend will think of the number 9?

Answers

Answer:

$P=(1)/(7)$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x---------> size of the event space

y-------> size of the sample space

$P=(x)/(y)$

In this problem we have

$x=1$ (because is only one number to think)

$y=7$ (there are $7$ numbers between $5$ and $11$ )

substitute

$P=(1)/(7)$

There are 7 numbers between 5 and 11 including 5 and 11. This means there is a one in seven chance of any number. The probability of o 9 is 1/7.

A package of 6 pairs of insulated gloves costs $43.14 what is the unit price of the pairs of gloves?

Answers

Answer: 7.19

Step-by-step explanation:

Math

a package of pair insulted gloves costs $7.19

Decrease £64 by 10 percent

Answers

10% of £64.00 is £6.40.

£64.00-£6.40=£58.60

Your answer is £58.60

Cheyanne plans to put $150 into a savings account. she can place her money into an account represented by f(x)=5x+150, or into another account represented by g(x)=150(1.03)^x. which account has the highest value in 3 years? which account has the highest value in 10 years?1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

2. g(x) has the highest value in 3 years; f(x) has the highest value in 10 years

3. f(x) has the highest value in 3 years; f(x) has the highest value in 10 years

4.g(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Answers

Answer: 1. f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

Step-by-step explanation:

Given:- Principal amount= $150

First account represented by the function= $f(x)=5x+150$ →Linear function

Second account represented by the function= $g(x)=150(1.03)^x$ →Exponential function

where x is the time period in years.

When x=3 years

$f(3)=5(3)+150=15+150=\$165$

$g(3)=150(1.03)^3=\$163.90$

here, f(x) has the highest value .

When x=10 years

$f(10)=5(10)+150=50+150=\$200$

$g(10)=150(1.03)^(10)=\$201.58$

g(x) has the highest value.

Therefore, f(x) has the highest value in 3 years; g(x) has the highest value in 10 years

What two numbers add to equal -11 and multiply to equal 28?What two numbers add to equal -20 and multiply to equal 51?
What two numbers add to equal -5 and multiply to equal -36?

Answers

-4 + -7 = -11 4 * 7 = 28
-17 + -3 = -20 17 * 3 = 51
4 + -9 = - 5 4 * -9 = 36

the answer for first is -4 and -7 (-4 + -7) = 11 , -4 x -7 = 28

The answer to the second is -17 and -3 (-17+-3) = 20, -17 x -3 = 51

The answer to the third is -9 and 4 ( -9 + 4) = -5 , -9 x 4 = -36

The answer is obtained by hit and trial method and there are many other algebraic ways to solve this. Since it was a bit easy one, i thought to apply the hit and trial method.

An employee worked 160.5 hours in may, 165.75 hours in June and 152.25 hours in july. What was the average number of hours you worked each month?

Answers

To find the average, you have to add everything up and divide by the amount that you have. In this case, you need to add together 160.5, 165.75 and 152.25, and then divide by 3.
160.5+165.75+152.25= 478.5
You've then got to divide this by three.
478.5/3= 159.5
Therefore, the average hour worked each month bu the employee is 159.5
Hope this helps :)

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