Find the area of a rectangle with length (x+3) units and breath (x-2 units

Divide 100 in a ratio of 5:3

bixtya [17]

Answer:

62.5 : 37.5

Step-by-step explanation:

When we divide 100 into 5:3 ratio the parts we make need to add up to 100

5parts +3 parts = 8 parts

100/8 parts = 12.5 are in each part

12.5*5 : 12.5*3

62.5 : 37.5

check our answer 62.5+37.5 = 100 ✅

7 0

2 years ago

The scale map shows that 5 centimeters =2 kilometers.What number of centimeters on the map represents an actual distance of 5 ki

Nitella [24]

Answer:

Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.

Step-by-step explanation:

Given:

The scale map shows that

5 centimeters =2 kilometers.

To Find:

What number of centimeters on the map represents an actual distance of 5 kilometers?

Solution:

Let 'x' cm be on the map to represent 5 kilometer.

Given:

5 centimeters = 2 kilometers.

Therefore,

x cm = 5 kilometer

Soon Equality of proportion we get

$\dfrac{5}{x}= \dfrac{2}{5}\\ \\x=\dfrac{5\times 5}{2}=\dfrac{25}{2}=12.5\ cm\\\\\therefore x = 12.5\ cm$

Therefore 12.5 centimeters on the map represents an actual distance of 5 kilometers.

5 0

3 years ago

Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income

Sauron [17]

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

$\mu = 225 - 240 = -15$

Sean's standard deviation is of 25, Evan's of 15. So

$\sigma = \sqrt{25^2+15^2} = 29.15$

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

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

$Z = \frac{0 - (-15)}{29.15}$

$Z = 0.51$

$Z = 0.51$ has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

5 0

3 years ago

Jared borrowed $4000 a year ago at an annual interest rate of 7.9%, compounded quarterly. The loan was to be paid off in four ye

anyanavicka [17]

Answer:

$5469.65

Step-by-step explanation:

Jackson borrowed $4000

Interest= 7.9%= 0.079

N=4

m= "compounded quartely"= 4

If he wants to pay it off now, the amount his creditor expect as a payout of the loan is:

Future Value= X(1+i/m)^nm

FV= 4000(1+0.079/4)^4*4

FV= 4000(1+0.01975)^16

FV= 4000(1.01975)^16

FV= 4000(1.3674121)

FV= 5469.6484

FV= $5469.65

The amount his creditor expect as a payout of the loan is 5469.65 if jared want to pay off the loan now.

3 0

2 years ago

Help please I need help

laiz [17]

Answer: B

Step-by-step explanation:

If P is say 2, then P divided by two would be one.

7 0

2 years ago

Read 2 more answers