Answer:
The answer to this is reflected in the y-axis

A system of equations is shown. y = 3x - 2;. y = x^2. What are the solutions to the system of equations?

3x+7x−28+31−8x for x=2043Simplified expression-?Value-?

A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.

A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need to add?

Laquita divides 3 pizzas equally among her 5 children how much pizza does each child receive

3x+7x−28+31−8x for x=2043Simplified expression-?Value-?

A customer has $10 to spend at the concession stand. Hotdogs cost $2 each and drinks cost $2.50 each. Graph the inequality that illustrates this situation. Use the space below to explain what the answer means.

A pancake recipe calls for 1 cup of flour. Derek has already used 1/4 cup of flour. How many more cups of flour does Derek need to add?

Laquita divides 3 pizzas equally among her 5 children how much pizza does each child receive

**Answer:**

0.73% probability that their mean length is less than 11.1 inches

**Step-by-step explanation:**

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

**Normal probability distribution:**

Problems of normally distributed samples are 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.

**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, which is also called standard error

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

**What is the probability that their mean length is less than 11.1 inches**

This is the pvalue of Z when X = 11.1. So

By the Central Limit Theorem

has a pvalue of 0.0073.

0.73% probability that their mean length is less than 11.1 inches

**Answer:**

I think it is greater than

**Answer:**

1372/3

**Step-by-step explanation:**

**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.**

Answer:

50

Step-by-step explanation:

From the circle graph :

Salad sold :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

9514 1404 393

**Answer:**

- cos(x) = a/c
- sin(x) = b/c
- tan(x) = b/a

**Step-by-step explanation:**

The mnemonic SOH CAH TOA is intended to help you remember the relationships between triangle sides and trig functions. These abbreviations tell you that ...

Sin = Opposite/Hypotenuse ⇒ **sin(x) = b/c**

Cos = Adjacent/Hypotenuse ⇒ **cos(x) = a/c**

Tan = Opposite/Adjacent ⇒ **tan(x) = b/a**