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3 years ago

Which solid best models an orange from the produce section of a grocery store? A. Cone B. Cylinder C. Prism D. Sphere

Mathematics

1 answer:

Lelu [443]3 years ago

8 0

Answer:

D. Sphere

Because a sphere is a 3D ball and an orange is a type of ball

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Exercise 6.22 provides data on sleep deprivation rates of Californians and Oregonians. The proportion of California residents wh

kherson [118]

Answer:

a. The alternative hypothesis H₀: p'₁ ≠ p'₂ is accepted

b. Type I error

Step-by-step explanation:

Proportion of California residents who reported insufficient rest = 8.0%

Proportion of Oregon residents who reported insufficient rest = 8.8%

p'₁ = 0.08 * 11545 =923.6

p'₂ = 0.088 * 4691=412.81

σ₁ = $\sqrt{n*p_1*q_1} = \sqrt{n*p_1*(1-p_1)}$ = $\sqrt{11545*0.08*(1-0.08)}$ = 29.15

σ₂ = $\sqrt{n*p_2*q_2} = \sqrt{n*p_2*(1-p_2)}$ = $\sqrt{4691*0.088*(1-0.088)}$ = 19.40

Samples size of California residents n₁ = 11,545

Samples size of Oregon residents n₂ = 4,691

Hypothesis can be constructed thus

Let our null hypothesis be H ₀: p'₁ = p'₂

and alternative hypothesis H ₐ: p'₁ ≠ p'₂

Then we have

$z =\frac{(p'_1 -p'_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma^2_1}{n_1}+\frac{\sigma^2_2}{n_2} } }$

The test statistics can be computed by

t₀ = $\sqrt{\frac{n_1n_2(n_1+n_2-2)}{n_1+n_2} } *\frac{p_1'-p_2'}{\sqrt{(n_1-1)\sigma_1^2+(n_2-1)\sigma_2^2} }$ = 1104.83

c from tables is P(T ≤ c) = 1 - α where α = 5% and c = 1.65

since t₀ ≥ c then then the hypothesis is rejected which means the alternative hypothesis is rejected

b. Type I error, rejecting a true hypothesis

5 0

3 years ago

Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. A. 1.714 B. 1.700 C. .600 D. .583

mrs_skeptik [129]

Divide

7/12 = .583

We get answer: D. .583

4 0

3 years ago

What is the value of x? What is the measure of angle QOR? What is the measure of angle ROS?

Veseljchak [2.6K]

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

$(x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26$

Sub x in

$(x + 5) \\ 26 + 5 = 31$

and

$(2 \times 26 + 7) \\ = 52 + 7 \\ = 59$

4 0

2 years ago

Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 a

monitta

Answer:It's 18

Step-by-step explanation:Multiply 7 and 6 to get 42

Subtract 10 from 13 to get 3

Divide 42 by 3 to get 14

Add 14 and 4 to get 18

5 0

2 years ago

Read 2 more answers

According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle

Leokris [45]

Answer:

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

Step-by-step explanation:

Per year.

The average man earns $90,761.

The average woman earns $50,756

So, per year, the difference is:

90,761 - 50,756 = 40,005

Over 30 years:

30*40,005 = 1,200,150

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

0 0

3 years ago