Tori and Matias work as jewelers. Tori has an hourly
wage of $24 and gets overtime for every hour she works over 40 hours. The
overtime pay rate is 150% of the normal rate. Matias makes 5% commission
on all jewelry he sells. Who earns more money in a week if Tori works
60 hours and Matias sells $21,000 worth of jewelry? Explain.

Using a confidence level of 95%, the margin of error for the mean GRE score of graduate students is approximately 14.15. The upper bound of the confidence interval is 314.15, and the lower bound is 285.85. This means we are 95% confident that the true population mean GRE score falls between these two values.

To calculate the margin of error, we use the formula:

Margin of Error = Z * (Standard Deviation / √n)

In this case, the standard deviation is 47 and the sample size (n) is 50. The Z-value for a 95% confidence level is approximately 1.96. Plugging in these values, we get:

Margin of Error = 1.96 * (47 / √50) ≈ 14.15

This means that the sample mean of 300 is expected to be within 14.15 points of the true population mean GRE score.

The confidence interval is then constructed by adding and subtracting the margin of error from the sample mean:

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

= (300 - 14.15, 300 + 14.15) = (285.85, 314.15)

Interpreting the confidence interval, we can say that we are 95% confident that the true population mean GRE score for graduate students falls within the range of 285.85 to 314.15. This means that if we were to repeat the sampling process and calculate the sample mean GRE scores multiple times, approximately 95% of the confidence intervals obtained would contain the true population mean.

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Answer:

18

Step-by-step explanation:

60% of 45 is 27

So 45-27 = 18

Answer:

$27.

Step-by-step explanation:

To find the percentage of something, simply multiply the value by the percentage ÷ 100:

60% = 60 ÷ 100 = 0.6

0.6 * 45 = 27

So they now cost $27.

Hope this helps!

Part A:

For a normally distributed data, population mean = sample mean

From the question, population mean = 34.82

Hence the sample mean = 34.82

The sample standard deviation is given by;

where n = 6, and

Therefore, the sample standard deviation is 2.05.

Part B

The interpretation of the standard deviation of the sampling distribution is that, since the square root of the sample size appears at the denominator, the standard deviation decreases as the sample size increases.

Part C

Hence, the probability is 0.0111.

The minimum number of pizzas that john must deliver to earn back the money he spent on the car he bought  is 715 pizzas   .

In the question,

it is given that ,

the amount for which John bought the used car for pizza delivery = $5000

the amount John gets for 1 pizza he delivers = $10

the amount John spend on gas for 1 pizza he delivers = $3

So , the amount that John earned for 1 pizza delivered is = 10 - 3 = $7 .

the number of pizza required to sell = (price of car)/(amount earned from 1 pizza)

Substituting the values , we get

number of pizza required to sell = 5000/7 = 714.2857

rounding the answer to  whole number ,

we get

= 715 pizzas

Therefore , The minimum number of pizzas that John must deliver to earn back the money he spent on the car he bought  is 715 pizzas   .

The given question is incomplete , the complete question is

John recently bought a used car for $5000 for his pizza delivery job. he gets $10 for each pizza he delivers, but he has to spend $3 on gas for each pizza he delivers. what is the minimum whole number of pizzas john must deliver in order to earn back the money he spent on the car he bought ?

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Answer:

7.5

Step-by-step explanation:

the answer to your question is 7.5

Answer:

A = 148

B = 180

C = 32

Step-by-step explanation:

All angles in a triangle must equal 180

to find m you had the two angles you already have 90 and 58 and put those in place of A

Subtract this from 180 to get the remaining degrees

90+58 = 148

180 - 148 = 32

Answer:

2/3 i guess

Step-by-step explanation:

The speed of the boat in still water is 16 miles per hour. So, the given speed of 0.5 is incorrect.

Let, v = the speed of the boat in still water.

The current of a river is 4 miles per hour.

On going upstream, the boat travels  v−4  miles per hour.

On going downstream, the boat travels  v+4  miles per hour.

So we can write,

( 30 miles × 1 hour ) / (v − 4 miles) = 30 / ( v − 4 ) hours

( 30 miles × 1 hour ) / ( v + 4 ) miles= 30 / ( v + 4 )hours

a boat travels to a point 30 miles upstream and back in 4 hours. So, on adding equation 1 and equation two we will get 4. Mathematically,

{30 / ( v − 4 )}  + {30 / ( v + 4 )} = 4

30 ( v + 4 ) + 30 ( v - 4 ) = 4 ( v - 4 ) ( v + 4 )

60v =  4 ( \(v^{2} - 16\) )

4 \(v^{2}\) - 60 v - 64 = 0

\(v^{2}\) - 15v - 16 = 0

( v - 16 ) (v + 1 ) = 0

v = -1 , 16

speed in still water cannot be negative. So, we can neglect -1 .  the speed of the boat in still water is 16  miles per hour.

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The total surface area of the ramp is 300 square feet

To find out how much metal the restaurant used to cover the ramp, we need to know the length, width, and height of the ramp.

Let's assume that the ramp is a rectangular prism with a length of 20 feet, a width of 5 feet, and a height of 2 feet. To find the total surface area of the ramp, we need to calculate the area of each of the six faces and add them together.

The area of the bottom face is 20 feet × 5 feet = 100 square feet.

The area of the top face is also 100 square feet.

The area of each of the side faces is 2 feet × 20 feet = 40 square feet (there are two side faces).

The area of each of the end faces is 2 feet × 5 feet = 10 square feet (there are two end faces).

Therefore, the total surface area of the ramp is:

100 + 100 + 40 + 40 + 10 + 10 = 300 square feet

Since the restaurant covered the entire surface of the ramp with metal, they used 300 square feet of metal to cover the ramp, including the bottom.

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The number of people who watched light year are 7.

Let x= number of friends that watches light year

and y= number of friends that watches jurassic park.

Let the equations be

All together total cost =>   4x+9y=172 ------> 1

And total number of people=>  x + y=23 ------> 2

By multiplying both equations by 1 and 4 respectively we can get,

By Solving above two equations we get, x=7 and y=16

As X represents  number of friends that watches light year, the answer is 7

Therefore, number of people that watches light year will be 7.

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Answer:

Step-by-step explanation:

r = 50

Circumference = 2πr

                          \(= 2 * 3.14 * 50\\\\= 314 \ ft\)

The probability that a student who passed the test did not complete the homework is 1 / 6.

This is a conditional probability problem and we are looking for the probability that a student who passed the test did not complete the homework.

Assuming event A is the event that a student passed the test and B is  event that a student completed the assignment.

We have :

P ( B' | A ) = P ( A ∩ B ' ) / P (A)

P ( B' | A ) = ( 3 / 27 ) / ( 18 / 27 )

P ( B' | A ) = 3 / 18

P (B' | A ) = 1 / 6

In conclusion, the probability that a student who passed the test did not complete the assignment is 1/6.

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Answer:

It is a traingle

Step-by-step explanation:

Answer:

They are instructions...

Step-by-step explanation:

Probably finding out the angles of a triangle

There may be patterns in the triangles..

Answer:

1. 13 Miles

2. 32

Step-by-step explanation:

1. 8+5=13

2. 40-8=32

You have the following operation:

6x9

To solve the previous operation you consider that the expression means 6 times 9, that is, that is the sum of six 9s:

6x9 = 9 + 9 + 9 + 9 + 9 + 9 = 54

Hence, the simplied operation is 6x9 = 54

The probability that X is between 57 and 105 is 0.8914.

Given:

* X is normally distributed with mean=90 and standard deviation=12

* P(57 < X < 105)

Solution:

* Convert the given values to z-scores:

   * z = (X - μ) / σ

   * z = (57 - 90) / 12 = -2.50

   * z = (105 - 90) / 12 = 1.25

* Use the z-table to find the probability:

   * P(Z < -2.50) = 0.0062

   * P(Z < 1.25) = 0.8944

* Add the probabilities to find the total probability:

   * P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914

Therefore, the probability that X is between 57 and 105 is 0.8914.

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Answer:

0.0036 i think this is the answer. I don't really know.

Answer:

X=18

Step-by-step explanation:

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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The company must produce 25 t-shirts to break even.

Here, we are given that a company producing t-shirts charges $125 for the design and set up plus $5 per tee.

This means-

fixed cost of producing the t-shirts = $125

Variable cost of producing a t-shirt = $5

Let x be the number of t-shirts produced

Thus, the total cost of producing t-shirts will be-

Total cost = 125 + 5x

Further, the selling price of 1 t-shirt = $10

Thus, selling price of x t-shirts = $10x

Now, at the break even point, the profit is 0, this implies-

Selling price = cost price

⇒ 10x = 125 + 5x

10x - 5x = 125

5x = 125

x = 125/5

x = 25

Thus, the company must produce 25 t-shirts to break even.

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Time-series Plot graph is the best choice for determining the change in the stock market over time.

The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.

Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.

A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.

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hope you like my answer its 19

We have solved the equation AB=BC for A, assuming that A, B, and C are square matrices and B is invertible, then the solution is A=C B⁻¹.

First, let's take a look at the equation AB=BC. This is an equation that involves matrices, which are essentially rectangular arrays of numbers. In this case, we have three matrices: A, B, and C. The equation tells us that the product of A and B is equal to the product of B and C.

Now, we want to solve this equation for A. This means that we want to isolate A on one side of the equation and have everything else on the other side. To do this, we can use matrix algebra.

One property of matrices is that we can multiply both sides of an equation by the inverse of a matrix without changing the solution. Since we know that B is invertible, we can multiply both sides of the equation by B⁻¹, the inverse of B:

AB B⁻¹ = BC B⁻¹

Now, we can simplify the left side of the equation, because B times its inverse gives us the identity matrix I:

A I = C B⁻¹

Again, we can simplify the left side of the equation, because anything multiplied by the identity matrix stays the same:

A = C B⁻¹

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Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think it is b

The following C code generates an arithmetic sequence with N terms using the given general term expression and recurrence relation:

#include <stdio.h>

int main() {

   int N;

   printf("Enter the number of terms: ");

   scanf("%d", &N);

   int sequence[N];

   sequence[0] = 1;

   for (int i = 1; i < N; i++) {

       sequence[i] = sequence[i - 1] + 2;

   }

   printf("The general term: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   printf("\nThe recurrence relation: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   return 0;

}

The program starts by including the necessary header file stdio.h for input and output operations.

The main() function is defined, which is the entry point of the program.

A variable N is declared to store the number of terms inputted by the user.

The user is prompted to enter the number of terms using the printf() function and the input is read using the scanf() function.

An array sequence of size N is declared to store the arithmetic sequence.

The first term of the sequence is assigned as 1 (sequence[0] = 1).

A loop is started from i = 1 to N - 1 to calculate the remaining terms of the sequence.

Inside the loop, each term is calculated using the recurrence relation: sequence[i] = sequence[i - 1] + 2.

After calculating the sequence, the program prints the general term by looping through the sequence array and displaying each term using the printf() function.

Similarly, the program prints the recurrence relation by looping through the sequence array and displaying each term.

Finally, the return 0 statement indicates successful program execution and the program terminates.

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answer

24.3*2=48.6mph

Step-by-step explanation:

i assume you mean speed of someone traveling 24.3 miles per half hour in mph

Step-by-step explanation:

3/5= 6/x

x = 6*5/3

x= 30/3

x = 10

Answer:

\(x=10\)

Step-by-step explanation:

This is because if you make equivalent fractions you either simplify it or you double the numerator AND the denominator. In this case, the fraction doubles the numerator and denominator. it doubles the number 6 and we have to do the same thing with the 5. And if you double 5, you will get to the ultimate answer 10. Therefore, the answer is \(x=10\).