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pychu [463]
2 years ago
7

Does y - x = 2 show direct variation

Mathematics
1 answer:
WARRIOR [948]2 years ago
8 0

Answer:

no

Step-by-step explanation:

if I use any numbers too  .the numbers can not be constant numbers so this equation is not a direct variation

7 - 5 = 2

6- 4 = 2                                                        

not contstant

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Logan jarred 6 liters of jam after 3 days. How many days does Logan need if he wants to jar 8 liters of jam?
REY [17]

Answer:

4 days

Step-by-step explanation:

6 divided by 3= 2 liters per day

2,4,6,8

I hope it is right

5 0
3 years ago
What is the midpoint of (1,-1) and (4,-6)
Andreas93 [3]

Answer:

(5/2, -7/2)

Step-by-step explanation:

The midpoint is the average value of each coordinate

(1+4)/2 , (-1-6)/2

3 0
3 years ago
Q28. In a sale, the normal price of a book is reduced by 30%. The sale price of the book is £2.80 Work out the normal price of t
lisov135 [29]

Answer:

0.90

Step-by-step explanation:

090. = 0.90

30/2.80

28

00

8 0
3 years ago
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
Determine the value of x.<br><br>A. 4√2<br><br>B. 2/√2<br><br>C. 2√2<br><br>D. 2
ZanzabumX [31]

Answer:

\huge\boxed{\sf C.}

Step-by-step explanation:

sin 45 = opposite / hypotenuse

<u>Where opposite = x , hypotenuse = 4</u>

sin 45 = x / 4

\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
3 years ago
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