For the limit

The perimeter of a rectangle below is 146 units find value of x

zhenek [66]

You are told that the perimeter is 146 units. You look at the diagram and add up all the sides, which tells you the total perimeter. You then equate 146 and the total perimeter, as you know both these equal the perimeter. Then solve for x by using algebra.

8 0

3 years ago

A random sample of n measurements is drawn from a binomial population with probability of success . Complete parts a through d b

Dima020 [189]

Complete question :

A random sample of n = 83 measurements is drawn from a binomial population with probability of success 0.4 . Complete parts a through d below. a. Give the mean and standard deviation of the sampling distribution of the sample proportion, . The mean of the sampling distribution of is nothing. The standard deviation of the sampling distribution of is nothing.

Answer:

Mean = 33.2000

Standard deviation = 4.4632

Step-by-step explanation:

Given that :

Sample size (n) = 83

Probability of success (p) = 0.4

q = p' = (1 - p) = 1 - 0.4 = 0.6

The mean of the sampling distribution :

Sample size * probability of success

n * p = 83 * 0.4 = 33.2000

The standard deviation of the sampling distribution :

σ=√(sample size * probability of success * (1 - p))

σ = √n * p * (1 - p)

σ = √(83 * 0.4 * 0.6)

σ = √19.92

σ = 4.46318

σ = 4.4632

4 0

3 years ago

if accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total

adell [148]

Answer:

A. 0.62%

B. 28 months

Step-by-step explanation:

A. Calculation for what percentage of total production will the company expect to replace

Let x represents the distribution of life times

Let mean be 34 months

Let standard deviation be 4 months.

Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).

First step

P(X<24)

= p(x-mean/ standard deviation< 24-34/4)

= p(z< -10/4)

=P(z<-2.5)

Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)

NORMSDIST(z)=0.62%

Therefore the percentage of total production will the company expect to replace will be 0.62%

B. Calculation for how much the guarantee period should be

First step

P(X<x)=0.06

P(x-Mean/Standard deviation < x-34/4) = 0.06

Second Step is to Use excel function

P(z<x-34/4) = (Normsinv(0.06)

x-34/4 = -1.555

Now let calculate how much the guarantee period should be

x = -6.22+34 months

x = 27.78

x = 28 months (Approximately)

Therefore the guarantee period should be 28 months

4 0

3 years ago

The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon

lord [1]

Answer: a) $0.490\leq p\leq0.582$

b) $0.501\leq p$

Step-by-step explanation:

Given : Sample size of respondents in the exit polls : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: $\hat{p}=\dfrac{412}{768}\approx0.536$

a) Critical value for 99% confidence level : $z_{\alpha/2}=2.576$

Confidence interval for proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)$

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: $0.490\leq p\leq0.582$

b) Critical value for 95% confidence level : $z_{\alpha/2}=1.96$

Lower confidence bound for the proportion :

$\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501$

Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : $0.501\leq p$

7 0

3 years ago

Read 2 more answers

A segment in the complex plane has a midpoint at 3 – 2i. If one endpoint of the segment is at 7 i, what is the other endpoint? –

Brut [27]

The midpoint of a segment divides the segment into equal halves

The other endpoint is 1- 5i

<h3>How to determine the missing endpoint </h3>

The coordinates are given as:

Point 1: 7 + i

Midpoint: 3 - 2i

Represent the other endpoint with x.

So, we have:

2 * Midpoint = Point 1 + x

This gives

$2 * (3 - 2i) =7 + i + x$

$6 - 4i =7 + i + x$

Collect like terms

$x = 6 -7- 4i -i$

Evaluate the like terms

$x = 1- 5i$

Hence, the other endpoint is 1- 5i