All categories

3 years ago

The length of a rectangle Is 3 Inches more than its width, and its perimeter is 22 Inches. Find the width of the rectangle.

Mathematics

1 answer:

Vesnalui [34]3 years ago

3 0

Answer:

the width of the rectangle is 7 inches

Step-by-step explanation:

You might be interested in

Math homework please help

Viktor [21]

the first on is -42

the second one is -80

the last on is -88

3 0

3 years ago

Hector has a part-time job at a garage. He gets a paycheck of $820 every for

ElenaW [278]

Answer:

A. Hector pays $ 123 in taxes each paycheck.

B. Hector should expect to receive $615 or 75% of his regular pay.

C. Hector will be paid $ 902 when he receives his next 4- week paycheck.

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Paycheck Hector gets every four weeks = $ 820

2. Hector has to pay 15% of his income in taxes. How much money does he

pay in taxes each paycheck? Show your thinking with a diagram and

calculations.

Taxes = 15% of 820

Taxes = 0.15 * 820

Taxes = $ 123

Hector's paycheck: ←------------------------------820--------------------------------------→

Taxes: ←----123---→

3. Hector took a 1-week vacation, so his next paycheck will only be for 3

weeks of work. What percentage of his regular pay should he expect to

receive? How much is that?

We can answer this question using the Direct Rule of Three, this way:

Weeks Paycheck

4 820

3 x

***********************************

4x = 820 * 3

4x = 2,460

x = 2,460/4

x = 615

615/820 = 0.75 = 75%

4. The garage owner is impressed with Hector's work and is giving him a

10% raise. How much will Hector be paid when he receives his next 4- week paycheck?

Raise = 10% of 820

Raise = 0.1 * 820 = 82

Next 4- week paycheck = 820 + 82 = 902

4 0

3 years ago

The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$