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3 years ago

Simplify the expression. Write your answer as a complex number. Pls help!

Mathematics

1 answer:

soldi70 [24.7K]3 years ago

5 0

$\bf 8\sqrt{49}-\sqrt{-36}\implies 8\sqrt{7^2}-\sqrt{-1\cdot 6^2}\implies 56-\sqrt{-1}\cdot \sqrt{6^2}\implies 56-6i$

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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

Which statement about these triangles is true? help pls using 40 points

stiks02 [169]

Answer:

There are exactly 3 isosceles triangles.

Step-by-step explanation:

An isosceles triangle is a triangle that has two sides of equal length. There are 3 triangles that fit the description.

-hope it helps

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2 years ago

The cost y (in dollars ) to spend an evening bowling is proportional to the number of games x that are bowled. it costs $16 to b

Liono4ka [1.6K]

Answer:

if the question is write an equation to find the total cost of a night of bowling then the answer is

y=16x

y=16(4)

y=64$

Step-by-step explanation:

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3 years ago

PLEASE HELP !!!! I DONT KNOW WHAT TO DO!!!!!

Oliga [24]

Answer:

-2a if you're Simplifying it and 2\5 if you're going for a decimal

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Your parents will allow you to stream videos on your tablet if you agree to prepay the monthly bill.

MatroZZZ [7]

I think is is 32, hpe is helps

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4 years ago

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