8. x Х -1 0 1 2 -2 -1 о у 1 1

Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. How

Nookie1986 [14]

Hello! She earns a salary of $2,100, which is the fixed amount each month, plus 5% commission on her sales. To find out the amount of sales that will help her reach her goal, set up the inequality like this:

2,100 + 0.05x ≥ 2,400

We set it up like this, because $2,100 is the one-time price per month, and she earns 5% of her sales as commission. Plus, the key words "at least" means the inequality sign is greater than or equal to (≥)

How to solve this:

First off, subtract 2,100 from both sides, when you do, you get 0.05x ≥ 300. Now, divide each side by 0.05 to isolate the "x". 300/0.05 is 6,000. Let's check this. 6,000 * 5% (0.05) is 300. There. x = 6,000. Liz will need to sell $6,000 worth of items this month in order to meet her goal.

7 0

3 years ago

Jill and Marcy go to an ice cream store where they have the option of getting a smoothie in either a cylindrical or rectangular

k0ka [10]

Answer: Jill got the larger smoothie and its volume is 1609.14 cubic cm.

Step-by-step explanation:

Since we have given that

Jill purchased the cylindrical container.

Height of container = 8 cm

Radius = 8 cm

So, volume of cylindrical container would be

$\pi r^2h\\\\=\dfrac{22}{7}\times 8\times 8\times 8\\\\=1609.14\ cm^3$

Marcy purchased the rectangular container.

Height of container = 8 cm

Width = 8 cm

Length = 8 cm

so, volume of rectangular container would be

$l\times b\times h\\\\=8\times 8\times 8\\\\=512\ cm^3$

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.

3 0

3 years ago

Suppose that the mean score on a creativity test is 16 and the standard deviation is 4. You are told that the distribution is no

Savatey [412]

Answer:

$P(12$

And we can find this probability on this way:

$P(-1$

We expect around 68.27% between the two scores provided.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(16,4)$

Where $\mu=16$ and $\sigma=4$

We are interested on this probability

$P(12$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(12$

And we can find this probability on this way:

$P(-1$

We expect around 68.27% between the two scores provided.

5 0

3 years ago

Im dumb so help me out here 50 points each Click on the image to enlarge

antiseptic1488 [7]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0

3 years ago

A farmer packed 3 pints of strawberries every 4 minutes. In the afternoon she packed 2 pints of strawberries every 3 minutes. Wh

MakcuM [25]

Answer:

5 (strawberries / hours)

Step-by-step explanation:

calculation fro morning

strawberries / minutes x minutes / hours = strawberries / hours

so after adding the value in above equation

3/4* 60/1 = 45 strawberries / hours

calculation in the afternoon

strawberries / minutes x minutes / hours = strawberries / hours

2/3 x 60/1 = 40 strawberries / hours

so now by calculating difference between morning and afternoon packing rates, you can easily calculate

45-40 = 5 (strawberries / hours)

8 0

3 years ago