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4 years ago

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Mathematics

1 answer:

Wewaii [24]4 years ago

3 0

Answer:

a. x = 13

b. x = 7

c. x = 24

d. x = Undefined

Step-by-step explanation:

Since all the bases are the same the power it is raised by is equivalent to the sum's power.

In mathematical terms

x^a + x^b = x^a+b

So all we have to do is add up the exponents and make them equivalent to each other.

For the last question, it is impossible since the powers added cannot ever be equal to each other.

9+x can never equal 4+x so it is undefined.

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Which set of points would result in a slope of 1/4

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Answer:

C) ( 8,2) and (4,1)

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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4 years ago

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Vinil7 [7]

Answer:

a) point estimate is 30%

b) null and alternative hypothesis would be

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Step-by-step explanation:

a. 

Point estimate would be the proportion of the working people aged 65–69 to the sample size and equals $\frac{180}{600}=0.3$ ie 30%

b.

Let p be the proportion of people aged 65–69 who is working. OECD claims that percentage working had increased. Then null and alternative hypothesis would be

$H_{0}$ : p=27%

$H_{a}$ : p>27%

c.

z-score of the sample proportion assuming null hypothesis is:

$\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of working people aged 65–69 (0.3)
p is the proportion assumed under null hypothesis. (0.27)
N is the sample size (600)

then z= $\frac{0.3-0.27}{\sqrt{\frac{0.27*0.73}{600} } }$ = 1.655

Since one tailed p value of 1.655 = 0.048 < 0.05, sample proportion is significantly different than the proportion assumed in null hypothesis. Therefore we reject the null hypothesis.

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3 years ago

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3 years ago

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