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Tamiku [17]
3 years ago
5

For the sphere shown, r = 4.2 cm. What is its volume, to the nearest cubic centimeter?

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0
V = 4/3(pi)(r^3)
V = 4/3(pi)(4.2^3)
V = 310 cm^3

Good luck!
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In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300
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Answer:

 The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total  sample 2 number  (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The  hypothesis (Null) ....>  H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ =  0.3 - 0.25/√0.2667  (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722,  then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

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3 years ago
Bella works at a shoe store. In addition to a fixed salary, she earns a commission for each pair of shoes that she sells. The ta
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D. It Is The Most Fitting Answer. The Other 3 Equal More Than Needed.
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What is the surface area for this?
IrinaK [193]

Answer:

143 cm²

Step-by-step explanation:

There are 3 pairs of sides to this shape,

1 pair is the top and bottom pieces, each has an area of 4(3) = 12 cm², so there are 24 cm² from this pair.

the second pair is the front and back pieces, each has an area of

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the third pair are the side pieces, each has an area of

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Al together there are 24 + 68 + 51 = 143 cm²

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