Which system is the solution of the graph?

Answer:

(B).

Step-by-step explanation:

Statement B is not correct. PR and ST are not corresponding segments.

Answer:

102.4?

Step-by-step explanation:

Answer:

h=2A/b

2 (64dm)/1.6m

128dm/1.6m

=80d

Answer:

-0.4522

Step-by-step explanation:

Answer:

10/24

Step-by-step explanation:

hope this helps :)

Answer:

5/8

Step-by-step explanation:

Have a good day! :)

Answer:

Original number is 86

Step-by-step explanation:

              Original:   10x + y

Double reversed:   2(10y + x)

Constraints:

  x + y = 14                                     ===>            x = 14 - y

  2(10y + x) + 10x + y = 222          ===>           21y + 12x = 222

Substitution to find y:

  21y + 12x = 222

  21y + 12(14 - y) = 222

  21y + 168 - 12y = 222

            9y + 168 = 222

                      9y = 54

                        y = 6

Substitution to find x:

  x = 14 - y

  x = 14 - 6

  x = 8

Original:   10x + y

                 10(8) + (6)

                 80 + 6

                 86

Answer:

(1) 0.058

(2) 601

Step-by-step explanation:

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

[tex]\mu_{\hat p}=p\\[/tex]

The standard deviation of this sampling distribution of sample proportion is:

[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]

As the sample size is large, i.e. n = 350 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion of adults in a certain country work from home.

Compute the probability that fewer than 42 out of a random sample of 350 adults will work from home:

Sample proportion: [tex]\hat p=\frac{42}{350}=0.12[/tex]

[tex]P(\hat p < 0.12)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.12-0.15}{\sqrt{\frac{0.15(1-0.15)}{350}}})\\\\=P(Z<-1.57)\\\\=0.05821\\\\\approx 0.058[/tex]

Thus, the probability that fewer than 42 out of a random sample of 350 adults will work from home is 0.058.

(2)

The (1 - α)% confidence interval for population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

Given:

MOE = 0.04

Confidence level = 95%

Assume that the sample proportion is 50%.

The critical z-value for 95% confidence level is 1.96.

Compute the required sample size as follows:

[tex]MOE= z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

      [tex]n=[\frac{z_{\alpha/2}\cdot\sqrt{\hat p(1-\hat p)}}{MOE}]^{2}\\\\=[\frac{1.96\times \sqrt{0.50(1-0.50)}}{0.04}]^{2}\\\\=600.25\\\\\approx 601[/tex]

Thus, the required sample size is 601.

1. Using the normal approximation to the binomial, it is found that there is a 0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.

2. Solving the equation for the margin of error of a confidence interval of proportions, it is found that we must survey 601 randomly selected teenagers.

Question 1:

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then, for the approximation:

[tex]\mu = np = 350(0.15) = 52.5[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{350(0.15)(0.85)} = 6.68[/tex]

Using continuity correction, the probability is [tex]P(X < 42 - 0.5) = P(X < 41.5)[/tex], which is the p-value of Z when X = 41.5. So:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41.5 - 52.5}{6.68}[/tex]

[tex]Z = -1.65[/tex]

[tex]Z = -1.65[/tex] has a p-value of 0.05.

0.05 = 5% probability that fewer than 42 out of a random sample of 350 adults will work from home.

Question 2:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem:

We have to solve for n, then:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96(0.5)}{0.04})^2[/tex]

[tex]n = 600.25[/tex]

Rounding up:

We must survey 601 randomly selected teenagers.

A similar problem is given at https://brainly.com/question/24261244

Answer:

7.6 repeating or if you want the whole answer its 7.66666666667

Step-by-step explanation:

remember its always best to plug in your equation in the calculator after you answered the equation just to see if your answer is correct.

hope this helps :D

Answer:

its still 69 HA im joking its 7.66666666666

Answer:

$2.50

Step-by-step explanation:

6.25/2.5=2.5

Answer:

welp you asked me to answer but I don't do this stuff anymore. sorry I hlp you.

Random fact? If you cut off all your skin you could last up to 7 more hours?

I think

Answer:

In the graph, the y-intercept is -2. The equation of the line is [tex] y = x - 2 [/tex]

Step-by-step explanation:

The equation of the line can be written in the slope-intercept form, y = mx + b.

First we need to find:

The slope = m

the y-intercept = b

Using two points on the line, (0, -2) and (2, 0) the slope can be calculated as follows:

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-2)}{2 - 0} = \frac{2}{2} = 1 [/tex]

The y-intercept is simply the point at which the line intercepts the y-axis. It is the value of y when x = 0.

Therefore, the y-intercept, b, = -2.

Substitute m = 1 and b = -2 into [tex] y = mx + b [/tex].

Thus, the equation if the line would be:

[tex] y = (1)(x) + (-2) [/tex]

[tex] y = x - 2 [/tex]

Answer:

Each side is 6 units.

Step-by-step explanation:

The problem is not how to do the question. The problem is how to get your calculator to do the question.

V = s^3

s = ?

V = 216

So what you need is the cube root of 216

s^3 = 216

cube root(s^3) = cube root(216)

s = cube root 216

Your calculator should have a y^x or x ^y key.

Put in 216

Press the y^x key or the x^y key

Put in 0.33333333333

You should get something like 5.999999 which you should round to 6.

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

Answer:

y= −2x/3 + 400

Step-by-step explanation:

Hope this helps :)

Answer: what the other dude said

Step-by-step explanation:

Answer:

Step-by-step explanation:

d over d x over y=-1 over 2 y plus 3 over 2

Answer:

5 horas

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]4\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex] + [tex]6\frac{3}{4}[/tex] + [tex]4\frac{1}{2}[/tex] + 6 + 5 ) ÷ 6 =

( 4 + 3 + 6 + 4 + 6 + 5 + [tex]\frac{6}{4}[/tex] + 1 ) ÷ 6 = 30.5 ÷ 6 = [tex]\frac{61}{2}[/tex] × [tex]\frac{1}{6}[/tex] = [tex]\frac{61}{12}[/tex] = [tex]5\frac{1}{12}[/tex] horas al dia

Answer:

4N left

5N left

0N (balanced)

9N right

Step-by-step explanation:

The net force is the vector sum of all of the forces acting on an object. To find the net force when there are two opposite forces subtract the smaller number from the larger, for example, 7-2. Then take to total, 5N, and add the direction of the stronger force. If the equation equals zero that means you have a balanced force. To find the force of two actions in the same direction simply add them.

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x  = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

Answer:

y= -5

Step-by-step explanation:

Answer:

y= -5

Step-by-step explanation:

Answer:

like terms is -7k-k and 12+8

Answer:

2 is the constant of proportionality in the equation y = 2x .

Step-by-step explanation:

Definition of constant of proportionality

When two variables are directly proportional to each others .

Let us assume that u and v .

u \propto vu∝v

Than the equation becomes u= kv

Where k is called the constant of proportionality .

Thus in the question x and y are proportional variables .

i.e

y \propto xy∝x

y = kx

Where k is called the constant of proportionality .

Compare the equation y = kx with y=2x .

Thus

k = 2

Therefore 2 is the constant of proportionality in the equation y = 2x

the explanation is not mine only the answer

Answer:

0

Step-by-step explanation:

From the given information;

Let x be the number of trails on which the [tex]r^{th}[/tex] defective occurs.

Let the probability that an occurrence of a defective be p = 0.10

Suppose x is a random variable that follows a negative binomial distribution with parameters r and p.

Then the probability mass function of X can be expressed as:

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)p^r (1 - p) ^{x-r} \ \ \ \ ; x=r, \ r+1 , \ r+2 , ...[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r (1 - 0.10) ^{x-r}[/tex]

[tex]P(X=x) = \bigg (^{x-1}_{r-1} \bigg)(0.10)^r ( 0.90) ^{x-r} \ \ ... \ \ (1)[/tex]

We are to find the probability of the fourth defective engine will be found on the second trial.

i.e. r =  4 and x = 2

[tex]P(X=2) = \bigg (^{2-1}_{4-1} \bigg)(0.10)^4 ( 0.90) ^{2-4}[/tex]

[tex]P(X=2) = \bigg (^1}_{3} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]P(X=2) = \bigg (\dfrac{1!}{3!(1-3)!} \bigg)(0.10)^4 ( 0.90) ^{-2}[/tex]

[tex]\mathbf{P(X=2) = 0}[/tex]

Answer:

d. 90 cm, 1.2 cm

Step-by-step explanation:

Given that:

The sample size n = 36

For the  length of the link:

The mean [tex]\overline x[/tex] = 2.5

The standard deviation s = 0.2 cm

In a chosen 36 links, The mean and standard deviation for the length chain is as follows:

Mean = n[tex]\overline x[/tex]

Mean = 36×2.5

Mean = 90 cm

The Standard deviation = s×√n

The Standard deviation = 0.2×√36

The Standard deviation = 0.2×6

The Standard deviation = 1.2 cm

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Suppose Tetha = alpha = 26°

Then ;

[tex] \tan( \alpha ) = \frac{y}{x} \\ [/tex]

[tex] \tan(26°) = \frac{8}{x} \\ [/tex]

[tex]0.487 = \frac{8}{x} \\ [/tex]

Multiply sides by x

[tex]0.487x = 8[/tex]

Divide sides by 0.487

[tex]x = \frac{8}{0.487} \\ [/tex]

[tex]x = 16.427[/tex]

[tex]x≈ 16.43[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

D

Step-by-step explanation:

21,871 x 0.96 = 20,996