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inn [45]
3 years ago
9

Please answer these questions for me I wanna enjoy being outside today.

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

1. y = 3x - 3

2. y = -2 1/2x + 10

10/-4 = -2 1/2 is the slope

3.  undefined

4. y = x - 4

5. y = x - 5

6. 6x + 2y = 4 and -3y = 9x + 12

7. -3x + y = 7, y = 3x + 1, and y =3x

8. y = 2x + 5

9. y = 1/4x - 4

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Consider the question of whether the home team wins more than half of its games in the National Basketball Association. Suppose
spayn [35]

Answer:

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

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 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 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 home team therefore wins 50% of its games

This means that p = 0.5

Determine the probability that the home team would win 65% or more of its games in a simple random sample of 80 games

Sample of 80 means that n = 80 and, by the Central Limit Theorem:

\mu = p = 0.65

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5*0.5}{80}} = 0.0559

This probability is 1 subtracted by the pvalue of Z when X = 0.65. So

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

By the Central Limit Theorem

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

Z = \frac{0.65 - 0.5}{0.0559}

Z = 2.68

Z = 2.68 has a pvalue of 0.9963

1 - 0.9963 = 0.0037

0.0037 = 0.37% probability that the home team would win 65% or more of its games in a simple random sample of 80 games

7 0
2 years ago
What is fraction of 7/20
Charra [1.4K]
What do you mean? the decimal is .35 and u can't simplify it anymore
7 0
3 years ago
Read 2 more answers
4 hours a week for a month. how many hours you have
love history [14]
7 days a week

4x7=28

About 4 weeks each month

28x4=112

The answer should be 112 hours. I hope this helped
7 0
3 years ago
Read 2 more answers
Put these numbers in order from least to greatest.<br> -15-26/40, -15, 18/25, 15.85
Norma-Jean [14]
-15 26/40=<span>-15.65
-15
18/25=0.72
15.85
so From least to greatest
 -15.65, -15, 0.72, and 15.85



</span>
6 0
3 years ago
Assuming the conditions regarding the motion represented in the graph remain the same, determine the acceleration of the object
vovikov84 [41]

(a)

We can see that

this is a straight line

and this is the graph of velocity

we know that

acceleration is the derivative of velocity

so, slope of curve of velocity is acceleration

so, we will find slope of this line

We can select any two points

(0,4) and (5,7)

we can use slope formula

m=\frac{y_2-y_1}{x_2-x_1}

now, we can plug points

m=\frac{7-4}{5-0}

m=0.6

we know that slope of line is always constant irrespective of any value of t

so, acceleration will always be same irrespective of any value of t

so, we will get acceleration

a(t)=0.6m/s^2............Answer

(b)

we can see that acceleration is constant

and we know that

derivative of constant is always 0

so, instantaneous rate of acceleration at t=10s is 0........Answer

7 0
3 years ago
Read 2 more answers
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