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alukav5142 [94]
3 years ago
9

What is the solution to the equation? Pls help ASAP

Mathematics
1 answer:
fgiga [73]3 years ago
5 0

Answer: 12 1/2

Step-by-step explanation:

its easy bruh what grade you in this is 6th grade stuff

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There are 20 purple or yellow marbles in a bag. The number of purple marbles is 4 less than 2 times the number of yellow marbles
FromTheMoon [43]

Answer:

12 purple marbles and 8 yellow marbles

Step-by-step explanation:

If you double 8 and subtract 4 you get 12 which can be added with the 8 to get 20.

5 0
3 years ago
Simplify and solve for the unknown. Use order of operations as needed. Check your work.
antiseptic1488 [7]

Answer:

5

Step-by-step explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒ 5^{3} -10^{2} = x(8-2)+2x-3x

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒125-100= 8x-2x+2x-3x

cancelling out -2x and 2x

⇒ 25= 8x-3x

⇒ 25= 5x

Multiplying both side by 5

⇒ x= \frac{25}{5}

∴ x= 5

Hence, the value of unknown is 5.

3 0
3 years ago
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
Find the value of each variable in the parallelogram.
Lorico [155]

Answer:

w = 2, z = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

3 0
3 years ago
F(x) = 3x + 2<br> What is f(5)?<br><br> PLEASE HELP!!!!
abruzzese [7]
Resolving a function of any nature means determining your zeros or raizes.

The zeros of a function occur when the function is null.

Then:

f(x) = 3x - 2

To determine the root
f(x) = 0 = 3x - 2
3x = 2
x = 2/3 Final result
8 0
3 years ago
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