How do you write an equation in slope intercept form for the line with slope 4 and y-intercept 6

Find the simple interest on $900 for 18 months at a rate of 9.5% per year

Anestetic [448]

To get the simple interest, we must use the formula: I= (p)(r )( t)
So, in this one we need to multiply $900x18x9.% and the answer will be $128.25. This is the amount of interest they are going to pay per year.

6 0

4 years ago

A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou

kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71) = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71) = 0.7422 - 0.2743

P(66<X<71) = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

= 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0

3 years ago

Express 9 as a ratio of 27

ANTONII [103]

Answer:

9/27 or 9 to 27

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Evaluate the expression for w = -1.<br> -6W2 + 13w + 21 =<br> Submit

skelet666 [1.2K]

Answer:

2

Step-by-step explanation:

In this case, you have to substitute the w for -1, and then do the operation:

-6( -1 )^2 + 13( -1 ) + 21

-6( 1 ) - 13 +21

-6 -13 + 21

-19 + 21

2

6 0

3 years ago

www.g The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulb

damaskus [11]

Answer:

$z=\frac{24-40}{8}=-2$

$z=\frac{40-40}{8}=0$

And then the percentage between 24 and 40 would be $\frac{95}{2}= 47.5 \%$

Step-by-step explanation:

For this problem we have the following parameters given:

$\mu = 40, \sigma =8$

And for this case we want to find the percentage of lightbulb replacement requests numbering between 24 and 40.

From the empirical rule we know that we have 68% of the values within one deviation from the mean, 95% of the values within 2 deviations and 99.7% within 3 deviations.

We can find the number of deviations from themean for the limits with the z score formula we got:

$z=\frac{X-\mu}{\sigma}$

And replacing we got:

$z=\frac{24-40}{8}=-2$

$z=\frac{40-40}{8}=0$

And then the percentage between 24 and 40 would be $\frac{95}{2}= 47.5 \%$

5 0

3 years ago