Select the correct answers (there are more than one that are correct)

worty [1.4K]

A property of rectangles is that opposite sides are congruent. In this case, since QT and RS are opposite sides, they are equal to each other. With this knowledge, you can form the equation $50=4x+8$ to solve for x.

Firstly, subtract both sides by 8: $42=4x$

Next, divide both sides by 4 and your answer will be $10.5=x$ , or the third option.

6 0

3 years ago

At a local University, it is reported that 81% of students own a wireless device. If 5 students are selected at random, what is

Sphinxa [80]

Answer:

34.87% probability that all 5 have a wireless device

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they own a wireless device, or they do not. The probability of a student owning a wireless device is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

81% of students own a wireless device.

This means that $p = 0.81$

If 5 students are selected at random, what is the probability that all 5 have a wireless device?

This is P(X = 5) when n = 5. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{5,5}.(0.81)^{5}.(0.19)^{0} = 0.3487$

34.87% probability that all 5 have a wireless device

5 0

3 years ago

Please help! image is below

alexdok [17]

Answer:

b = 18 units

Step-by-step explanation:

3 0

3 years ago

A report on consumer financial literacy summarized data from a representative sample of 1,570 adult Americans. Based on data fro

alexgriva [62]

Answer:

a) 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance = (0.498, 0.547)

This means we are 95% confident that the true proportion all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is within the range 49.8% and 54.7%.

b) The confidence interval from part (a) is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B because the interval obtained contains proportions that are greater than 50% indicating that there is significant evidence that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is more than half of the total population.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (820/1570) = 0.5223

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1570 is obtained from the z-tables.

Critical value = 1.960

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion = 0.5223

n = sample size = 1570

σₓ = √(0.5223×0.4777/1570) = 0.0126063049 = 0.01261

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.5223 ± (1.96 × 0.01261)

CI = 0.5223 ± 0.02471

95% CI = (0.4975916424, 0.5470083576)

95% Confidence interval = (0.4976, 0.5470)

We are 95% confident that the true proportion all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is within the range 49.8% and 54.7%.

b) The confidence interval from part (a) is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B because the interval obtained contains proportions that are greater than 50% indicating that there is significant evidence that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is more than half of the total population.

Hope this Helps!!!!

7 0

3 years ago

10) Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell

jonny [76]

Answer:

Tisha is faster than Latrell by 3 miles/hour

Step-by-step explanation:

Given

$Latrell= 122\ miles for\ 2\ hours$