Answer:

**Answer:**

y<3

**Step-by-step explanation:**

Let's solve your inequality step-by-step.

5y+9<24

Step 1: Subtract 9 from both sides.

5y+9−9<24−9

5y<15

Step 2: Divide both sides by 5.

5y/5 < 15/5

y<3

How do i simplify 81^5 = 3x

Caroline can sketch 8 cartoon strips in two hours. How long will it take her to sketch 12 strips?

If line p is perpendicular to line m what is the relationship between line p and line l

Brainliest if you provide a valid explanation!*IF YOU STEAL POINTS YOU WILL BE REPORTED*Q: The table shows the weights of apples at a grocery store. If this represents a proportional relationship, what is the weight of 12 apples? Remember to explain your answer :)

Use the slope-intercept form to Graph y=-1/8x+2

Caroline can sketch 8 cartoon strips in two hours. How long will it take her to sketch 12 strips?

If line p is perpendicular to line m what is the relationship between line p and line l

Brainliest if you provide a valid explanation!*IF YOU STEAL POINTS YOU WILL BE REPORTED*Q: The table shows the weights of apples at a grocery store. If this represents a proportional relationship, what is the weight of 12 apples? Remember to explain your answer :)

Use the slope-intercept form to Graph y=-1/8x+2

**Answer:**

3.15

**Step-by-step explanation:**

15.75 divided by 5 gets you 3.15

b. 1/3 x 12 hours

c. 1/3 x 1/12 hour

d. 3 x 12 hours

Selection B is appropriate.

_____

It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.

.. 12 * (1/3 hour) = (1/3)*12 hour

_____

It takes 12 times as long to fill the whole tank as it does to fill 1/12 of the tank.

.. 12 * (1/3 hour) = (1/3)*12 hour

**Answer: **b . hours

**Step-by-step explanation:**

**Given :** A oil company fills of a tank in hour.

i.e. Time taken to fill of a tank= hour.

By using the **Unitary method**, we multiply 12 on bith the sides of the above expression we get

Time taken to fill tank= hour.

⇒ Time taken to fill 1 tank= hour.

Hence, it will take hours or 4 hours for the tank to fill completely.

Thus , the correct answer is** b . hours **

**Answer:**

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

**Step-by-step explanation:**

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

**Normal probability distribution**

When the distribution is normal, we use 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 normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation

**In this question:**

So

**What is the probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%?**

This is the pvalue of Z when X = 0.41 + 0.05 = 0.46 subtracted by the pvalue of Z when X = 0.41 - 0.05 = 0.36. So

**X = 0.46**

By the Central Limit Theorem

has a pvalue of 0.9986

**X = 0.36**

has a pvalue of 0.0014

0.9986 - 0.0014 = 0.9972

99.72% probability that the proportion of Grammy award winners will differ from the singers proportion by less than 5%.

(B) What is the least squares regression line

(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.

**Answer:**

B) y = -9.98×10⁻⁵ x + 13.95

C) 0.1

**Step-by-step explanation:**

Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.

The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.

The negative x-intercept is at

The positive x-intercept is at

0).

Answer:

( -1/3 , 0 )

( 4 , 0 )

**Answer: She will have 1.75 pounds of clay left**

**Step-by-step explanation: you need to divide 51/4 and it is 12.75 and then you subtract 14-12.75 and get = 1.25**

**Answer:**

She will have 8 and 3/4 | 8.75

**Step-by-step explanation:**

First you subtract the whole numbers,

14 - 5 = 9

Then because you have no fraction you take a whole number and split it into 4/4 or = 1 whole

4/4 - 1/4 = 3/4

She will have 8 and 3/4 or 8.75