All categories

3 years ago

What’s the diameter of this object?

Mathematics

2 answers:

ANTONII [103]3 years ago

5 0

Answer:

1.6 feet

Step-by-step explanation:

The diameter is twice the radius, or

d=2r

The line on the object indicates the radius, so the radius is 0.8. Substitute 0.8 in for r

d=2*0.8

Multiply

d=1.6

So, the diameter is 1.6 feet

Ahat [919]3 years ago

3 0

Answer:

1.6 feet

Step-by-step explanation:

The radius is 1/2 of the diameter.

0.8 * 2 = 1.6

You might be interested in

Please I will give so much

kompoz [17]

I think it’s the first one and the fourth one.

8 0

3 years ago

1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,

gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

$\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988$

The combined proportion is:

$\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989$

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78$

Compute the p-value as follows:

$p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075$

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\$

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0

3 years ago

You got to find the surface area

vladimir1956 [14]

Answer:

156 sq. units

Step-by-step explanation:

divide the prism into 2D shapes using the net. Then, use the numbers to find the length and width. Multiply the length and width of each 2D shape. Finally, add all the numbers you got to get the sum of 156 sq. units.

7 0

3 years ago

Suppose that the batting averages or AVG (hits per at-bat) of all players in the AAA baseball league are normally distributed wi

bulgar [2K]

Answer:

0.1

Step-by-step explanation:

Solving using empirical rule formula

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

Hence, the lower bound 95% =

μ - 2σ

Mean = 0.2

Standard deviation of 0.05

= μ - 2σ

= 0.2 - 2(0.05)

= 0.2 - 0.1

= 0.1

The lower bound is 0.1

6 0

3 years ago

HELP I CANT FIGURE IT OUT! <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B18%7D%20%20-%20%20%5Cfrac%7B1%7D%7B4%7D%20"

bija089 [108]

Answer:

1/36

Step-by-step explanation:

²⁾5/18 - ⁹⁾1/4 =

= 10/36 - 9/36

= 1/36

8 0

3 years ago