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lyudmila [28]
3 years ago
10

Please help quickly !

Mathematics
2 answers:
babymother [125]3 years ago
8 0

Answer:

A = 2.25

Step-by-step explanation:

If you divide 2a = 4.5 by 2 on both sides you will get a = 2.25

Dominik [7]3 years ago
5 0

Answer:

a=2.25

Step-by-step explanation:

4.5=2a

a=4.5/2

a=2.25

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Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n
lukranit [14]

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

5 0
3 years ago
Graph the line that passes through the points (9,-8) and (9,6) and determine the
avanturin [10]

Answer:

<em>x = 9</em>

Step-by-step explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the y intercept

Note that the line does not have a slope and the x intercept of the line is a point where the line cuts the x axis. Hence the equation of the line will be expressed as x = c where c is the x intercept;

<em>From the graph, the x intercept =9. Hence the equation of the given line is x = 9</em>

7 0
3 years ago
CAN SOMEONE PLEASE HELP ME I NEED THIS ASAP
Fittoniya [83]
The answer is y=-2/2+3
8 0
2 years ago
Which sheep has a larger area of rectangle that is 7" by 3 fourths inch or a square with side length of 2 1/2 inches
Gnesinka [82]
If you multiply 7 by .75 you get 5.25
rectangle = area = 5.25
then multiply 2.5 by itself and you get 6.25
square area = 6.25
So the 2 1/2 inch square has more room
7 0
3 years ago
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

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 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 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}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
3 years ago
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