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Alexxx [7]
3 years ago
13

Simplify: (8^2/3)^4

Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0

Answer:

Step-by-step explanation:

hello :

(8^2/3)^4 = ∛(8²) = ∛(4^3) = 4   because : 8² = 4^3 =64

Julli [10]3 years ago
5 0
8 8/3

Explanation:
(8 2/3)4
(8 2*4/3)
8 8/3
8 8/3=256=(8 2/3)4
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69✖️2[8+12-10✖️2+(7-5)-1]-6*
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shusha [124]

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3 0
2 years ago
Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica
natka813 [3]

Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

6 0
2 years ago
in 2019 there were 16 named storms, of which 8 grew into hurricanes and 5 were major. What fraction of hurricanes were major?
olga2289 [7]
There were 16 total storms, meaning our denominator is 16. Since 8 grew into hurricanes, we can leave that alone. Since 5 out of 16 storms were major, 5 is our numerator.

5/16 storms were major because 8 were hurricanes and the other 3 were other kinds of storms. As a decimal conversion, about 31% of these storms were major.

How to find the percentage conversion:

Step 1: We take the fraction 5/16.

Step 2: Since our numerator is 5 and the default denominator is a maximum of 100, we can multiply 5 by 100.

5 x 100 = 500

Step 3: We can divide 100 by 16 to get our decimal conversion.

100 divided by 16 will give us 31.25, which also is representative of 31 and 1/4 added together.

Your final answer: With there being 16 storms, 5 of these storms are major (5/16). In terms of if there were 100 total storms, about 3/10 of these storms were major.
6 0
2 years ago
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