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2 years ago

Which of the following statements will complete step #3 in the algebraic proof? Given 5(x + 3) – 2 = 13 step-by-step

Mathematics

2 answers:

Elena L [17]2 years ago

4 0

Answer:

x=2

Step-by-step explanation:

5(x+3)-2=13

5(x+3)=15

x+3=5

x=2

tia_tia [17]2 years ago

4 0

X=-2 What they said.

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2 years ago

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kramer

Answer:

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3 years ago

Let x be a random variable representing dividend yield of Australian bank stocks. We may assume that x has a normal distribution

kotegsom [21]

Answer:

a) 0.025 level of significance

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

Step-by-step explanation:

Step(i):-

Let 'x' has a normal distribution

Given sample size 'n' =11

Mean of the sample (x⁻) = 9.89% = 0.0989

Standard deviation of the sample (s) = 2.3% = 0.023

Mean of the Population ' μ' = 7.9% = 0.079

Step(ii):-

Null hypothesis:H₀:' μ' = 0.079

Alternative Hypothesis :μ' > 0.079

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{0.0989-0.079}{\frac{0.023}{\sqrt{11} } }$

t = 2.8840

Degrees of freedom

ν = n-1 = 11-1 =10

Level of significance

$t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } = t_{0.025}$

$t_{0.025} , 10 = 3.5814$

Step(iii):-

The calculated t - value t = 2.88 > 3.58 at 0.025 level of significance

Therefore null hypothesis is rejected

The data indicate that the dividend yield of all Australian bank stocks is higher than 7.9%

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3 years ago