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1 year ago

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft

Mathematics

1 answer:

Artist 52 [7]1 year ago

7 0

Answer:

Arc length = 5.93 ft

Perimeter = 13.93 ft

Step-by-step explanation:

85/360*2*π*4 = arc length

5.93411946 ft

Perimeter = 4+4+5.93 = 13.93 ft

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Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your con

Ket [755]

Answer:

Step-by-step explanation:

Given that:

$H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55$

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }$

$Z = \dfrac{-1}{\dfrac{5.3}{6} }$

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

For x = 53 and s = 4.6

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }$

$Z = \dfrac{-2}{\dfrac{4.6}{6} }$

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

$Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that$ $\mu < 55$

For x = 56 and s = 5.0

The test statistics can be computed as:

$Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }$

$Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }$

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject $\mathbf{H_o}$

$Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \$ $\mu < 55$

6 0

3 years ago

H=−4.9t2+25t

lina2011 [118]

ANSWER

EXPLANATION

The equation that expresses the approximate height h, in meters, of a ball t seconds after it is launched vertically upward from the ground is

$h(t) = - 4.9 {t}^{2} + 25t$

To find the time when the ball hit the ground,we equate the function to zero.

$- 4.9 {t}^{2} + 25t = 0$

Factor to obtain;

$t( - 4.9t + 25) = 0$

Apply the zero product property to obtain,

$t = 0 \: or \: \: - 4.9t + 25 = 0$

$t = 0 \: \: or \: \: t = \frac{ - 25}{ - 4.9}$

t=0 or t=5.1 to the nearest tenth.

Therefore the ball hits the ground after approximately 5 seconds.

4 0

3 years ago

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Which statement correctly describes the diagram?

Komok [63]

Answer:

option 2

Step-by-step explanation:

6 0

3 years ago

Solve. X2 ? 5x = 14 A) x = 0, x = 5 B) x = 0, x = ?5 C) x = 2, x = ?7 D) x = 7, x = ?2

Ymorist [56]

The answer would be letter D.

8 0

3 years ago

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33 points!!!!

lakkis [162]

I think it is 4 divided by 5 which equals 4/5 pieces of gum for everyone. (Hope I helped :D and hope I got it right ;D)

4 0

3 years ago