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2 years ago

Choose the mixed number that is equivalent to this decimal 3.242424...

Mathematics

1 answer:

Vinvika [58]2 years ago

7 0

Answer:

3.24 = 3 6/25

Step-by-step explanation:

- Rewrite the decimal number as a fraction with 1 in the denominator.

- Multiply to remove 2 decimal places. Here, you multiply top and bottom by 100

- Find the Greatest Common Factor (GCF) of 324 and 100, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 4

- You should end up with that answer..

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From class we learned that in 2010 the federal debt (in millions) was $13,561,623 and the population of the U.S. was 309 million

NemiM [27]

Question A: The per capita debt would be $43,888.75.

Per capita means the amount per person. To find this amount, we need to take the total debt and divide it by the number of people.

13,561,623 divided by 309 = 43,888.75

For Question B, you will need to have the other CPI value from the table.

7 0

2 years ago

A newly hired basketball coach promised a high-paced attack that will put more points on the board than the team’s previously te

puteri [66]

Answer:

a. z = 2.00

Step-by-step explanation:

Hello!

The study variable is "Points per game of a high school team"

The hypothesis is that the average score per game is greater than before, so the parameter to test is the population mean (μ)

The hypothesis is:

H₀: μ ≤ 99

H₁: μ > 99

α: 0.01

There is no information about the variable distribution, I'll apply the Central Limit Theorem and approximate the sample mean (X[bar]) to normal since whether you use a Z or t-test, you need your variable to be at least approximately normal. Considering the sample size (n=36) I'd rather use a Z-test than a t-test.

The statistic value under the null hypothesis is:

Z= X[bar] - μ = 101 - 99 = 2

σ/√n 6/√36

I don't have σ, but since this is an approximation I can use the value of S instead.

I hope it helps!

7 0

2 years ago

Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If Christina has $100, how much money does Frank

qwelly [4]

Answer:

a. Take a grid that shows represents the amount of money Frank has,

Say F,

( shown below ),

b. Since, Marissa has twice as much money as Frank,

So, the amount Marissa has = 2F

If M represents the amount Marissa has,

M = 2F

c. Now, Christina has $20 more than Marissa,

Add 20 to the grid M

d. The below diagram provides enough information to determine the value of the variable m

e. The amount Christina has = M + 20 = 2F + 20

According to the question,

2F + 20 = 100

2F = 80

F = 40

Hence, the amount frank has = $ 40,

Amount Marissa has = 2(40) = $ 80,

3 0

1 year ago

Jordan solved the equation −7x + 25 = 48; his work is shown below. Identify the error and where it was made. −7x + 25 = 48 Step

almond37 [142]

Answer:

Step 4 : he should have divided both sides by negative seven

Step-by-step explanation:

6 0

1 year ago

The quotient of the sum of 2t and 2, twice the cube of s

natali 33 [55]

Answer: $\frac{2t+2}{2s^3}$

Step-by-step explanation:

Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.

In order to solve this exercise, it is importat to remember the following information:

1. The quotient is the result of a division.

2. The sum is the result of an addition.

3. The word "twice" indicates a multiplicatio by 2.

4. The word "cube" indicates an exponent 3.

Then, keeping on mind the explained above and the data given in the exercise, you know that:

-The sum of $2t$ and $2$ can be expressed as:

$2t+2$

- Twice the cube of $s$ can be expressed in the following form:

$2s^3$

Therefore, you can dermine that "the quotient of the sum of $2t$ and $2$ and twice the cube of $s$ " is represented with the following expression:

$\frac{2t+2}{2s^3}$

8 0

1 year ago