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3 years ago

7

Angie went shopping for her son’s graduation party. She spent $281 on food, $143 on paper goods, and $164 on decorations. What i

s the total amount she spent on the party?

1 answer:

nexus9112 [7]3 years ago

7 0

She spent $588 on the party.

You simply add all the numbers together. :)

You might be interested in

What is the trigonometric ratio for sin Z ?

Schach [20]

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

$\sin(Z) = \dfrac{XY}{XZ}$

In order to find XY, we have

$XY = \sqrt{XZ^2-YZ^2} = \sqrt{1600-1024}=\sqrt{576} = 24$

So, the ratio for the sine is

$\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{5}$

6 0

2 years ago

A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi

Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

$Z = \frac{X - \mu}{\sigma}$

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 $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

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

For the sum of n values of a distribution, the mean is $\mu \times n$ and the standard deviation is $\sigma\sqrt{n}$

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that $\mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300$

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20000 - 20000}{300}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0

3 years ago

Explain how you can use model to find 6x17

Karo-lina-s [1.5K]

You can use lattice multiplication or long multiplication. for examples and/or visuals message me.

8 0

3 years ago

Read 2 more answers

Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way

Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student $=^{10}C_1=\frac{10!}{1!9!}=10\\$

Now left student = 10 -1 = 9

So number of ways to assigned double student $=^{9}C_2=\frac{9!}{2!7!}=36$

Now left student = 9-2 = 7

So number of ways to assigned triple student $=^{7}C_3=\frac{7!}{2!4!}=$ =70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student $=^{4}C_4=\frac{4!}{4!0!}=1$

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0

3 years ago

Help for brianilist! first answer will get brianilist!!!!!!!

stealth61 [152]

HI THERE!!!!!

The answer is your question is the second choice 59 in^2.

Here is how you can do it:

1. Area of rectangle = length*width = 7*4 = 28 square inches
2. Area of triangle on the top = 0.5*base*height = 0.5*7*6 = 21 square inches
3. Area of triangle on right side = 0.5*base*height = 0.5*4*5 = 10 square inches.

Now you can do the total area:
Add them all →→ 28+21+10 = 59

Hope this helps u out.;)P.S. id really appreciate brainliest thx

~ TRUE BOSS

7 0

2 years ago