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valina [46]
2 years ago
12

A used car dealer sells SUVs and cars. Of all the vehicles, 70% are cars. Of all the vehicles, 10% are black SUVs. What is the p

robability that an SUV chosen at random is black? Round your answer to the nearest tenth of a percent.
Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Answer: 0.3

Step-by-step explanation:

From the question,

A used car dealer sells SUVs and cars. Of all the vehicles, 70% are cars. Since 70% are cars, SUV will be (100% - 70%) = 30%. Of all the vehicles, 10% are black SUVs. To calculate the probability than an SUV chosen is black goes thus:

P(A|B) = P(A and B) / P(B)

P(SUV | black) = P(SUV and black) / P(suv)

P(suv | black) = 10%/ 30%

P(suv | black) = 0.1/0.3

P(suv | black) = 0.3

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A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a rand
MaRussiya [10]

Answer:

Step-by-step explanation:

For the null hypothesis,

H0 : p = 0.63

For the alternative hypothesis,

Ha : p < 0.63

This is a left tailed test

Considering the population proportion, probability of success, p = 0.63

q = probability of failure = 1 - p

q = 1 - 0.63 = 0.37

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 478

n = number of samples = 800

P = 478/800 = 0.6

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76

From the normal distribution table, the area below the test z score in the left tail 0.039

Thus

p = 0.039

7 0
2 years ago
Kaitlyn solved the equation for x using the following calculations. Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8. What error, if
omeli [17]

Step-by-step explanation:

The equation that Kaitlyn solved is as follows :

-5.4+x=12.2

The steps to solve it as follows :

Step 1. Add 5.4 to both sides,

-5.4+x+5.4=12.2+5.4

Step 2. 5.4 will cancel out as both have opposite signs

x=17.6

But Kaitlyn solved it as :

5.4.x=6.8

She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.

3 0
2 years ago
A report from a Gallup poll 1 in 2011 started by saying, "Forty-five percent of American adults reported getting their health in
snow_tiger [21]

Answer:

The interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

Step-by-step explanation:

The confidence interval is the interval estimate of the population parameter.

The confidence interval has a certain probability that the true value of the parameter is contained in the interval.

The general form of the confidence interval is:

CI=SS\pm MOE

Here,

SS = sample statistic.

MOE = margin of error

The sample statistic is an unbiased estimator of the population parameter. If the sample size is large enough then the sample statistic can be used to estimate the population parameter value.

In this case the parameter of interest is the population proportion of American adults who got their health insurance from an employer.

The information provided is:

<em>SS = p = </em>0.45.

<em>MOE</em> = 0.02.

Compute the confidence interval for the population proportion <em>p</em> as follows:

CI=p\pm MOE\\=0.45\pm 0.02\\=(0.43, 0.47)

Thus, the interval estimate for the population proportion of American adults who got their health insurance from an employer is (0.43, 0.47).

3 0
2 years ago
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
Read 2 more answers
A fuel is purified by passing it through a clay pipe. Each foot of the clay pipe removes a fixed percentage of impurities in the
creativ13 [48]
The amount of pollutants.
8 0
2 years ago
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