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netineya [11]
3 years ago
7

Which of the following is a pair of

Mathematics
2 answers:
ANTONII [103]3 years ago
7 0

Answer:

D. AXF and BXE

Step-by-step explanation:

These angles are across from each other which makes them vertical angles.

Virty [35]3 years ago
4 0

Answer:

the answer is D

Step-by-step explanation:

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Would anyone know how to do this
butalik [34]
Your answer will be 5xplus10
8 0
3 years ago
Each contestant in the Hunger Games must be trained to compete. Suppose that the time it takes to train a contestant has mean 5
LiRa [457]

Answer:

11.51% probability that it will take less than 450 days to train all the contestants.

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.

For the sum of n variables, the mean is \mu*n and the standard deviation is s = \sigma\sqrt{n}

In this question:

n = 100, \mu = 100*5 = 500, s = 4\sqrt{100} = 40

Approximate the probability that it will take less than 450 days to train all the contestants.

This is the pvalue of Z when X = 450.

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

By the Central Limit Theorem

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

Z = \frac{450 - 500}{40}

Z = -1.2

Z = -1.2 has a pvalue of 0.1151

11.51% probability that it will take less than 450 days to train all the contestants.

8 0
3 years ago
solve the linear equation 29 - 3x = 5x + 5 state the property that justifies your step and why you chose it
Debora [2.8K]

Answer:

x=3

Step-by-step explanation:

29-3x=5x+5

29=5x+5+3x

29=8x+5

29-5=8x

24÷8=x

3=x

6 0
3 years ago
There are 8 volunteers during the weekday and only 5 volunteers on the
MaRussiya [10]

Answer:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

Step-by-step explanation:

Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

In turn, if you have 10 people who need help from the volunteers on Monday, to determine how many will not get helped if the ratio of volunteers to the person needing help is 1: 1 the following logical reasoning must be carried out:

10: 8

1: 1

10 - 8 = 2

Thus, 2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

6 0
3 years ago
Read 2 more answers
Between which two numbers is -1.5 located on a number line
Jlenok [28]
On a number line of whole integers -1.5 falls between -2 and -1
3 0
3 years ago
Read 2 more answers
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