Answer:

**Yes, Monty can use the number line to find an equivalent fraction with a denominator greater than 6.**

**For Example, **

**Consider **

**The equivalent fraction of is .**

**So, yes you can represent on a number line by putting 6 lines between 0 and 1 and Can Represent by putting 34 lines between 0 and 1.**

**There is no effect of denominator to find equivalent fraction of any rational number, whether the denominator is greater than 6 or less than 6, but denominator should not be equal to Zero.**

**We can find equivalent fraction of any rational number , the denominator of that rational number should not be equal to Zero. **

Answer:
Is this math? What's the question ?

A microwave is placed on top of a stand. The stand is 2 feet 10 inches tall, and the microwave is 3 feet 3 inches tall. Together, how tall are they?Write your answer in feet and inches. Use a number less than 12 for inches.

Explain how to do (2^-2/3^3)^4 i need to know how to do this.

Julia wrote 20 letters each month for y months in a row. Write an expression to show how many total letters Julia wrote.

Tina makes 480 sandwiches

I need help look at the picture

Explain how to do (2^-2/3^3)^4 i need to know how to do this.

Julia wrote 20 letters each month for y months in a row. Write an expression to show how many total letters Julia wrote.

Tina makes 480 sandwiches

I need help look at the picture

**Answer:**

**We conclude that the average calorie content of a 12-ounce can is greater than 120 calories.**

**Step-by-step explanation:**

We are given that a quality-control manager for a company that produces a certain soft drink wants to determine if a 12-ounce can of a certain brand of soft drink contains 120 calories as the labeling indicates.

Using a random sample of 10 cans, the manager determined that the average calories per can is 124 with a standard deviation of 6 calories.

*Let ** = average calorie content of a 12-ounce can.*

So, **Null Hypothesis,** : 120 calories {means that the average calorie content of a 12-ounce can is less than or equal to 120 calories}

**Alternate Hypothesis**, : > 120 calories {means that the average calorie content of a 12-ounce can is greater than 120 calories}

The test statistics that would be used here __ One-sample t test statistics__ as we don't know about the population standard deviation;

T.S. = ~

where, = sample average calories per can = 124 calories

s = sample standard deviation = 6 calories

n = sample of cans = 10

So, *test statistics* = ~

= 2.108

The value of t test statistics is 2.108.

*Now, at 0.05 significance level **the t table gives critical value of 1.833 at 9 degree of freedom for right-tailed test**. Since our test statistics is more than the critical values of t as 2.108 > 1.833, so we have sufficient evidence to reject our null hypothesis as it will in the rejection region due to which **we reject our null hypothesis**.*

**Therefore, we conclude that the average calorie content of a 12-ounce can is greater than 120 calories.**

12

B.

14

C.

19

D.

13

E.

6

F.

8

Question says inequality, but there was no symbol between 9x and 117.

If it were an equation, then it reads 9x=117, in which case the answer is

x=117/9=13.

If it were 9x>=117, then all choices 13 or greater qualify.

If it were 9x<=117, then all choices 13 or less qualify.

If it were an equation, then it reads 9x=117, in which case the answer is

x=117/9=13.

If it were 9x>=117, then all choices 13 or greater qualify.

If it were 9x<=117, then all choices 13 or less qualify.

**Answer:**

Between 150 and 450

**Step-by-step explanation:**

We are going to find the number by resolving a system of linear equations.

First we write the system equations :

Where C : children, S : students and A : adults

The equation represents the ''full attendance''

The second equation :

This equation represents the totaled receipts.

The system :

has the following associated matrix :

By performing elementary matrix operations we find that the matrix is equivalent to

The new system :

Working with the equations :

Our solution vector is :

For example :

If 0 adults attended ⇒ A = 0

This verify the totaled receipts equation :

150($3)+600($5) = $ 3450

A ≥ 0 ⇒ If A = 0 ⇒ C = 150

C = 150 is the minimum children attendance

From the equation :

S ≥0

600 - 2A ≥ 0

600 ≥ 2A

300≥ A

A is restricted to the interval [ 0, 300]

When A = 0 ⇒ C = 150

When A = 300 ⇒C = 150 + A = 150 + 300 = 450

Children ∈ [ 150,450]

With C being an integer number (including 0)

Also S and A are integer numbers (including 0)

**Answer:**

122

**Step-by-step explanation:**

2! = 2

(8-3)! =

(5)! = 120

2+120 =122

The measure of angle U will be equal to the measure of angle W.

Because W is pronounced "double u", W = 2 * U.

Therefore U = W and U = 2 * W, so both U and W = 0.

Just kidding.

The correct answer is the smallest prime number greater than 40.

**Answer:**

4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.

**Step-by-step explanation:**

**Central Limit Theorem**

The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation

**Normal probability distribution**

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

**In this problem, we have that:**

**What is the probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds?**

This is 1 subtracted by the pvalue of Z when X = 1.25. So

has a pvalue of 0.9525.

So there is a 1-0.9525 = 0.0475 = 4.75% probability that the average (mean) reaction time of the 4 operators exceeds 1.25 seconds.