A cone is a polyhedron. A.)True B.)False

Suppose 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are atypical in

Sonbull [250]

Answer:

We conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

Step-by-step explanation:

We are given that 40% of DC area adults have traveled outside of the United States. Nardole wants to know if his customers are typical in this respect. He surveys 40 customers and finds 60% have traveled outside of the U.S.

We have to test is this result a statistically significant difference.

Let p = % of DC area adults who have traveled outside of the United States

SO, Null Hypothesis, $H_0$ : p = 40% {means that 40% of DC area adults have traveled outside of the United States}

Alternate Hypothesis, $H_a$ : p $\neq$ 40% {means that % of DC area adults who have traveled outside of the United States is different from 40%}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = % of customers who have traveled outside of the United States

in a survey of 40 customers = 60%

n = sample of customers = 40

So, test statistics = $\frac{0.60-0.40}{\sqrt{\frac{0.60(1-0.60)}{40} } }$

= 2.582

Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical value of 1.96 for two-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.

Therefore, we conclude that % of DC area adults who have traveled outside of the United States is different from 40%.

7 0

3 years ago

Use the tables to answer the following questions.

Usimov [2.4K]

(a) Find the constant of proportionality:

Answer:

What is constant of proportionality?\

Two varying quantities are said to be in a relation if they are connected to each other in a proportion. If they are connected by a constant, this constant c is called constant of proportionality or co-efficient of proportionality.

let 't' be time and 'd' be distance.

At 2 hours, the distance covered is 90 miles 90/2 = 45

At 3 hours, the distance covered is 135 miles 135/3 = 45

and so on...

Hence the constant of proportionality 'c' is 45.

(b) use the constant of proportionality to write a unit rate for the data in the table.

Answer:

Using the data in the table:

rate of the data is the slope of the graph that is distance/time = velocity.

So, the unit rate of the data means the distance covered per unit time that is the distance in miles covered in per hour is equal to the velocity.

For unit rate, we use the largest values of the data which are

time = 6 hours

distance covered = 270 miles

Unit rate = Velocity = 270/6

= 45 miles per hour.

(c) An equation to represent the relationship between time 't' and distance 'd'.

Answer:

Whenever forming a relational equation between two quantities from a table, follow these steps:

Step 1:

Check if the two relations are directly proportional or inversely proportional.

Step 2:

Use a constant of proportionality to transform the relation into an equation.

In our case, Distance covered increases with the time, so it is directly proportional.

distance ∝ time

Using a constant of proportionality 'c', we get the following equation:

d = ct

Checking if the equation satisfies the table:

90 = c*2

135 = c*3

225 = c*5

270 = c*6

c = 45 satisfies the data in equation d = ct hence the equation satisfies the data.

4 0

3 years ago

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the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.

vredina [299]

Step-by-step explanation:

The area of triangle given as 120 cm2

Area of Triangle = 1/2 x b x h = 120

therefore bxh = 240

240 can be factorized as 10 x 24

The perimeter of the triangle is given as 60

so the other side has to be 26 cm

As this is a right angle triangle it should satisfy pythagoras theorem

(10)2 + (24)2 = (26)2

100+576 =676

Hence the sides of the triangle are 10 cm, 24 cm and 26 cm

3 0

3 years ago

Please help due Friday

AveGali [126]

Answer:

It is a linear function because the degree is 1. The function is also neither odd nor even.

8 0

3 years ago

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Brian flips a fair coin 3 times. What is the probability of getting 3 tails?

Sliva [168]

Answer:

the answer is one over eight

the formula says required outcome divided by sample space

the sample space here is it because we have three coins and the Three coins have two faces each so it becomes 2 x 2 * 2 that is 8 and that is the total sample space we are supposed to get the probability of getting 3 tails and for each coin you have 1/2 x 1/2 x 1/2 and that is 1/8 as your final answer and do probability of getting three tails

3 0

3 years ago

Read 2 more answers