PLEASE HELP, if u could look at my answer it says 48 inches is that correct if it's not could you tell me the right answer.

Introductory Algebra: 20% converted into a decimal, wouldn't that be 0.2?

34kurt

Answer: Yes.

Step-by-step explanation: 20% of 100 would translate into .2 out of 1

6 0

3 years ago

Read 2 more answers

Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. Whe

kherson [118]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We don't have a prior estimation for the proportion $\hat p$ so we can use 0.5 as an approximation for this case

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

5 0

3 years ago

Check each equation whose graph is the line that

yanalaym [24]

Answer:

Points P ( 4 , - 7 ) and Q ( 1 , 5 ) belong to the equations:

1 ; 4 ; and 5

Step-by-step explanation:

Equations 1 ; 4 and 5 are the same equation

Equation 1 y = - 4*x + 9

Equation 4

y + 7 = - 4 * ( x - 4 ) ⇒ y + 7 = - 4*x + 16 ⇒ y = - 4*x - 7 + 16

y = -4*x + 9

Equation 5

4*x + y = 9 ⇒ y = - 4*x + 9

Now for the equation y = - 4*x + 9

P ( 4 , -7)

For x = 4 y = - 4*(4) + 9 ⇒ y = - 16 + 9 ⇒ y = - 7

Then point P is in the line y = - 4*x + 9

Point Q (1 , 5 )

For x = 1 y = - 4 * ( 1) + 9 ⇒ y = - 4 + 9 ⇒ y = 5

Point Q is in the line y = - 4*x + 9

Equation 2

y = - 4*x - 23

Point P ( 4 , - 7 )

For x = 4 y = 16 - 23 y = - 7

Point P is in the line

Point Q

For x = 1 y = - 4 *(1) - 23 ⇒ y = - 27

Then poin Q is not in the line

Equation 3

y - 1 = - 4 * ( x - 4 )

y - 1 = -4*x + 16 ⇒ y = - 4*x + 17

Point P ( 4 , - 7 )

For x = 4

y = - 16 + 17 ⇒ y = 1

Point P is not in the line

And Point Q ( 1 , 5 )

For x = 1

y = - 4* ( 1 ) + 17 ⇒ y = 13 Q is not in the line

3 0

3 years ago

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

Marrrta [24]

y = x - 2.....the slope here is 1. A parallel line will have the same slope

y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur parallel line is : y = x - 4

5 0

3 years ago

Please I need help <br> No fake answers

Dominik [7]

y=13x+5 ===(0,5) , (-2, -21)

y=-3x ===(0,0) , (-3,9)

y=x-10 ===(8,-2) , (-5, -15)

5 0

3 years ago

PLEASE HELP, if u could look at my answer it says 48 inches is that correct if it's not could you tell me the right answer.​

PLEASE HELP, if u could look at my answer it says 48 inches is that correct if it's not could you tell me the right answer.