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qwelly [4]
3 years ago
9

Please help!! Find the value of x and the length of each side

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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Stem and leaf plot

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Please help hurry!
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Answer:

  • ≈ 145.23 in²

Step-by-step explanation:

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  • SA = 2πrh = 2*3.14*2.5*9.25 ≈ 145.23 in²
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How to solve y=-x+3 y=2x-1
svlad2 [7]

Solve for x: 2x - y = 3 x + y = 3?
? can someone explain this for me plz
8 Answers • Mathematics

Best Answer (Chosen by Voter)
Hi,

For this question, we are given the following system of equations:

2x - y = 3
x + y = 3

Let's make the first equation in the form of y = mx + b as shown below:

y = 2x - 3
x + y = 3

Now, substitute the first equation into the second to get:

x + 2x - 3 = 3

Combine similar terms to get:

3x = 6

x = 2

We now know that x = 2 and can plug this value into one of the given equations to get:

2 + y = 3

y = 1

FINAL ANSWER: x = 2 ; y = 1

I hope that helps you out!
7 0
3 years ago
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The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assum
Schach [20]

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

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 \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.

In this question, we have that:

\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

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

By the Central Limit Theorem, we have that:

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

Z = \frac{30 - 27.5}{0.85}

Z = 2.94

Z = 2.94 has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

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

Z = \frac{26.5 - 27.5}{0.85}

Z = -1.18

Z = -1.18 has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

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

-1.645 = \frac{X - 27.5}{0.85}

X - 27.5 = -1.645*0.85

X = 26.1

Upper Bound:

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

1.645 = \frac{X - 27.5}{0.85}

X - 27.5 = 1.645*0.85

X = 28.9

90% of sample means will occur between $26.1 and $28.9.

4 0
3 years ago
What is 6X squared +17 X +13+4 over X -1 multiplied by X minus one
Free_Kalibri [48]

Answer:

6x^{3} + 11^{2} - 4x -9

Step-by-step explanation:

i) (6x^{2} + 17x  + 13  + \frac{4}{x-1} ) \times (x - 1) = (6x^{2} + 17x  + 13)\times (x - 1) + 4 = 6x^{3} + 11^{2} - 4x -9

8 0
3 years ago
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