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3 years ago

Help me plzzzz help me

Mathematics

2 answers:

vladimir1956 [14]3 years ago

7 0

Answer:

D. $\frac{3}{20}$

Step-by-step explanation:

$l = \frac{ \theta}{360 \degree} \times c \\ \\ l = \frac{54 \degree}{360 \degree} \times c \\ \\ l = \frac{3}{20} \times c \\ \\$

Thus, the length of the arc RST is $\frac{3}{20}$ times of the circumference of the circle with center C.

aalyn [17]3 years ago

4 0

Answer:

A. 1/12

if wrong sorry

hope this helps you ☺️☺️

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Based on the pull of gravity which model shows how long it will take the ball to hit the ground?

inessss [21]

where is the model? i need that to answer

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3 years ago

g Two different factories named A and B both produce an automobile part. If a part came from A, the probability that the part is

Fed [463]

Answer:

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

Step-by-step explanation:

Probability of a defective part:

0.04 of $\frac{100}{180}$ , that is, coming from A.

0.05 of $\frac{80}{180}$ , that is, coming from B. So

$p = 0.04\frac{100}{180} + 0.05\frac{80}{180} = \frac{0.04*100 + 0.05*80}{180} = 0.0444$

0.0444 = 4.44% probability that a part chosen at random (from the sample) was defective.

3 0

3 years ago

Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home.

maxonik [38]

Answer:

Step-by-step explanation:

From this study:

The null hypothesis:

$H_o : p_1 =p_2$

The altenative is:

$H_a : p_1 \ne p_2$

This test is a two-tailed test.

However; we are told that the wives have 44 success out of 66, then the number of failures will be 22.

Then;

$\hat p_1 = \dfrac{44}{66}$

$\hat p_1 = 0.6667$

Similarly, the husbands have 18 success out of 46, then the number of failures will be 28

Then:

$\hat p_2 = \dfrac{18}{46}$

$\hat p_2 = 0.3913$

The pooled proportion $p = \dfrac{18+44}{66+46}$

$p = \dfrac{62}{112}$

p = 0.55357

The estimated standard error S.E is:

$= \sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}$

= $\sqrt{ 0.55357(1-0.55357) \Big( \dfrac{1}{66} + \dfrac{1}{46} \Big)}$

$=\sqrt{ 0.55357(0.44643) \Big(0.01515 + 0.021739 \Big)}$

$=\sqrt{ 0.00911638798}$

= 0.0955

The Z test statitics can now be computed as:

$Z = \dfrac{ \hat p_1 - \hat p_2}{\sqrt{\dfrac{ \bar p(1- \bar p)}{n_1} +\dfrac{ \bar p(1-\bar p)}{n_2}}}$

$Z = \dfrac{0.6667 -0.3913}{0.0955}$

Z = 2.88

Th p -value from the test statistics is:

p-value = 2P(Z > 2.88)

p- value = 2 P (1 - Z < 2.88)

p-value = 2 ( 1 - 0.998)

p-value = 2 ( 0.002)

p -alue = 0.004

Decision Rule:

Thus, at 0.01 significance level, we reject the null hypothesis because, p-value is less than that (i.e. significance level)

Conclusion:

We conclude that there is a significant difference between the proportions.

5 0

3 years ago

Find the surface area of the prism or pyramid. Round to the nearest hundredth if necessary.

son4ous [18]

Answer: 345.4

Step-by-step explanation:

SA=2πr^2+2πrh

SA=2(3.14)(5)^2+2(3.14)(5)(6)

SA=2(3.14)(25)+2(3.14)(30)

SA=2(78.5)+2(94.2)

SA=157+188.4

SA=345.4

4 0

3 years ago

Given that A, O & B lie on a straight line segment, evaluate acute

Luba_88 [7]

If the value of x is 10. Then the measure of angle ∠COB will be 56°.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

Given that A, O, and B lie on a straight line segment.

Then they make a linear angle that is 180 degrees.

Then we have

∠AOC + ∠COD + ∠DOB = 180

(3x + 94) + (x + 30) + (2x - 4) = 180

6x + 120 = 180

6x = 60

x = 10

Then the measure of angle ∠COB will be

∠COB = ∠COD + ∠DOB

∠COB = (x + 30) + (2x - 4)

∠COB = (10 + 30) + (20 - 4)

∠COB = 40 + 16

∠COB = 56°

More about the angled link is given below.

brainly.com/question/15767203

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5 0

2 years ago