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3 years ago

Find the IQR of the data set from the dot plot.

1 answer:

5 0

A the IQR=3

EXPLANATION :
You have to find the middle of the data set, splitting it into two. Then find the middle number in both parts, in this case it was 2 and 5. Then subtract the second part from the first part, so 5-2, leaving you with 3.
Hopefully the picture will help a bit.

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A cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65

TEA [102]

The inequality that represents the condition based on the number of grams of sugar is 35C + 30M ≥ 460

The inequality that represents the condition based on the number of grams of flour is 50C + 65M ≤ 970

<u>Solution:</u>

Given, a cupcake requires 35 grams of sugar and 50 grams of flour, and a muffin requires 30 grams of sugar and 65 grams of flour.

Shawna needs to use up at least 460 grams of sugar to make cupcakes and muffins, and she wants to use at most 970 grams of flour.

Let C denote the number of cupcakes she makes and M the number of muffins she makes.

Now, let us write an inequality that represents the condition based on the number of grams of sugar.

Total sugar used ≥ 460 grams.

Sugar used for cupcakes + sugar used for muffins ≥ 460 grams

Number of cupcakes x sugar used for 1 cupcake + number of muffins x sugar for 1 muffin ≥ 460

C $\times$ 35 + M $\times$ 30 ≥ 460

35C + 30M ≥ 460

Now let us write an inequality that represents the condition based on the number of grams of flour.

Total flour used ≤ 970 grams.

Flour used for cupcakes + flour used for muffins ≤ 970 grams

Number of cupcakes x flour used for 1 cupcake + number of muffins x flour for 1 muffin ≤ 970

C $\times$ 50 + M $\times$ 65 ≤ 970.

50C + 65M ≤ 970

Hence, the inequalities are 35C + 30M ≥ 460 and 50C + 65M ≤ 970.

4 0

3 years ago

Which of the following represents the distance between x and y on a number line?

kherson [118]

C is the correct answer

5 0

2 years ago

What differwnce between 4,632 ans 20,000 is what number

nikklg [1K]

Hello!!

The difference between 4,632 and 20,000 is:

4,632 - 20,000 = -15,368

Good luck :)

3 0

3 years ago

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

Sergeeva-Olga [200]

Answer:

The lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 50

We are given that the distribution of test score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.06.

P(X > x) = 6% = 0.06

$P( X > x) = P( z > \displaystyle\frac{x - 500}{50})=0.06$

$= 1 - P( z \leq \displaystyle\frac{x - 500}{50})=0.06$

$=P( z \leq \displaystyle\frac{x - 500}{50})=1-0.06=0.94$

Calculation the value from standard normal z table, we have,

$P(z < 1.555) = 0.94$

$\displaystyle\frac{x - 500}{50} = 1.555\\x = 577.75$

Hence, the lowest score a college graduate must be 577.75 or greater to qualify for a responsible position and lie in the upper 6%.

5 0

3 years ago

Which is an example of a chemical change <br>

Aleksandr [31]

A chemical change results from a chemical reaction, while a physical change is when matter changes forms but not chemical identity. Examples of chemical changes are burning, cooking, rusting, and rotting. Examples of physical changes are boiling, melting, freezing, and shredding.

plz mark me as brainliest :)

8 0

3 years ago