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Fynjy0 [20]
3 years ago
14

6. HELP

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
16/32 = P/100
Cross multiply
p(32) = 16(100)
32p = 1600
divide by 32 on both sides
p = 50 %
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Simplify the expressions by combining like terms<br><br> 4r + 9r - 11r + 7r
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9r
Explanation:
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g A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are he
stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the​ president's height minus their main​ opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

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182. 183. - 1

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180. 186. - 6

Sample mean, xd

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Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

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We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main​ opponents, the differences have a mean greater than 0 cm.

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What is the selling price of a $610 couch with a 25% markup?
defon

Answer:

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Write 98 as the product of prime factors in ascending order
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