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marta [7]
2 years ago
13

Yesterday, a movie theater sold 269 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In all th

e movie theater made $494 from
popcom sales. Write and solve a system of equations to find how many bags of each size of popcorn were sold.
The movie theater sold large bags of popcorn and small bags of popcorn.
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
6 0

Answer:

S=194, L=75 L+S=269, 4L+1S=$494

Step-by-step explanation:

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The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp?
Naya [18.7K]

Answer:

9/10 or 0.9

Step-by-step explanation:

As we move 50 feet horizontally, the far end of the ramp reaches 4.5 feet above ground level.  Thus, the slope is m = rise / run = 4.5/50 = 9/10 or 0.9.

7 0
3 years ago
Use(pemdas) 6 x (8 + 6) x 2
dybincka [34]

Answer:

It is 168

Step-by-step explanation:

First, add 8+6, which equals 14 then go from left to right 6 times 14 that equals 84 then do 84 times two.Which equals 168.

6 0
3 years ago
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If 37 represents an increase of 37, what does -37 represents
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Probs a decrease of 37 boiiii
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3 years ago
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it is known that the population proton of utha residnet that are members of the church of jesus christ 0l6 suppose a random samp
Lady_Fox [76]

Answer:

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

Step-by-step explanation:

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

Normal Probability Distribution

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

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Proportion of 0.6

This means that p = 0.6

Sample of 46

This means that n = 46

Mean and standard deviation:

\mu = p = 0.6

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.6*0.4}{46}} = 0.0722

Probability of obtaining a sample proportion less than 0.5.

p-value of Z when X = 0.5. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.5 - 0.6}{0.0722}

Z = -1.38

Z = -1.38 has a p-value of 0.0838

0.0838 = 8.38% probability of obtaining a sample proportion less than 0.5.

8 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
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