Write 7/12 as a percentage correct to two decimal places

The length of a rectangle is 13 centimeters less than three times its width. Its area is 56 square centimeters. Find the dimensi

tatuchka [14]

Answer:

Area = length x width

Area = (3width - 13) x width

Area = 3 width^2 -13width

56 = 3width^2 -13 width

Width = 7

Length = (3 *7) -13 = 8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.

jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 100, \sigma = 15$

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

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

$Z = \frac{115 - 100}{15}$

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

5 0

1 year ago

Lucia uses 3 ounces of pasta to make 3/4 serving of pasta, How many ounces of pasta are there per serving? How many ounces of pa

natka813 [3]

Answer:

1. 4 ounces of pasta per serving.

2. 20 ounces for 5 servings.

Step-by-step explanation:

3 ounces of pasta makes 3/4 servings of pasta.

We want to get find out how many ounces of pasta needed to make 1 serving of pasta, in other words 4/4 servings of pasta.

To get 3/4 to 4/4, we need to times it by 4/3, since 3/4 * 4/3 = 12/12 = 4/4 = 1.

So to get the ounces of pasta, we need to times 3 by 4/3.

3 * 4/3 = 3/1 * 4/3 = 12/3 = 4 ounces.

There we see that there are 4 ounces of pasta in a serving.

Now that we know that there are 4 ounces of pasta in a serving, we simply multiply to get the amount of ounces of pasta in 5 servings.

We can say that the amount of pasta is directly proportional to the amount of servings.

Direct proportion is the relationship between two variables when their ratio is equal to a constant value.

If there are 4 ounces of pasta in a serving, the amount of servings is multiplied by 5, and since the amount of pasta is directly proportional to the amount of servings, we multiply the ounces of pasta by 5.

4 * 5 = 20.

Here we see that there are 20 ounces of pasta in 5 servings.

Hope this helps.

7 0

3 years ago

Solve for x<br> <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Ba%7D%20" id="TexFormula1" title=" \frac{x}{a} " alt=" \fra

HACTEHA [7]

X=a(y/b)
(just multiply a on both sides)

6 0

2 years ago

Eileen and her brother Andrew had a bicycle race. Eileen Rode at a speed of 20 ft per second while Andrew Rode at a speed of 15

Julli [10]

Eileen was 600 feet away from the finish line before the race began.

Step-by-step explanation:

Step 1; Eileen rode at a speed of 20 feet per second whereas Andrew rode at a speed of 15 feet per second. So for every second that passes the distance in between decreases by 5 seconds. Assume x is the number of seconds at which the distance in between is 0. The distance in between at the beginning of the race is 150 feet due to the headstart.

Distance between them = Decreasing distance every second × x

150 feet = 5 feet/ second × x

x = 150 feet / 5 feet/second = 30 seconds.

So it takes Eileen 30 seconds to cover the distance between her and Andrew and cross the finishing line at the same time.

Step 2; The race lasted for 30 seconds so we can find the distance Andrew and Eileen traveled by multiplying their speed per second with the total number of seconds.

Distance Andrew traveled = speed per second × total number of seconds

= 15 feet per second × 30 seconds = 450 feet

Distance Eileen traveled = speed per second × total number of seconds

= 20 feet per second × 30 seconds = 600 feet

Graph plot;

The X-axis is time with 5 seconds for each cm

the y-axis is distance with 100 feet for each cm.

Eileen's plot (0,0), (5,100), (10,200), (15,300), (20,400), (25,500), (30,600).

Andrew's plot (0,150), (5,225), (10,300), (15,375), (20,450), (25,525), (30,600).

8 0

2 years ago