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Ad libitum [116K]
2 years ago
6

Geometry.... homework..​

Mathematics
2 answers:
Nadusha1986 [10]2 years ago
4 0

Answer:

-12 , -6

Step-by-step explanation:

- 7 - 5 = - 12

- 2 - 4 = - 6

sweet-ann [11.9K]2 years ago
3 0

Answer: (-12,-6)

Step-by-step explanation:

Left and down are both negative vectors so the numbers decrease and keep their signs.

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torisob [31]

Answer: 4\sqrt[3]{4}

Step-by-step explanation:

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2 years ago
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The back of a dog house is composed of a square and a triangle . How much wood wood is needed for the back of the dog house to t
Anastaziya [24]

Answer:

68

Step-by-step explanation:

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8 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
2 years ago
Solve for x in the equation x^2+4x-4=8
quester [9]
I will get you started.

x^2+4x-4 = 8

x^2 + 4x - 4 - 8 = 0

x^2 + 4x - 12 = 0

You must now use the quadratic formula.

In the formula, a = 1, b = 4, and c = -12.

Take it from here.
8 0
2 years ago
I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer b
Aloiza [94]

Answer:

100×300=3000

Step-by-step explanation:

hope the picture attached helps

4 0
3 years ago
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