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mart [117]
3 years ago
12

The length of a rectangle is 5 yd less than three times the width, and the area of the rectangle is 28 yd2 . find the dimensions

of the rectangle.
Mathematics
1 answer:
Firdavs [7]3 years ago
8 0
The answer is 4.

The formula for the area of a rectangle is A = lw. Substitute, so then it's 28 = (3x-5) * x, and you evaluate.

Hope this helps you! And rate so I can see if I did well!
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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that p = 0.53

Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

This is P(X = 4) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{7,4}.(0.53)^{4}.(0.47)^{3} = 0.287

So the anwer is:

B) 0.287

7 0
3 years ago
Read 2 more answers
What’s the volume of a rectangle solid with the given dimensions: length 20, width 23, height 26
ANEK [815]

The volume of the rectangular solid is: 11,960 units³.

<h3>How to Find the Volume of a Rectangular Solid?</h3>

The formula to find the volume of a rectangular solid is: (length)(width)(height).

Given the dimensions as:

  • Length = 20 units
  • Width = 23 units
  • Height = 26 units

Volume = (20)(23)(26)

Volume of the rectangular solid = 11,960 units³.

Learn more about about the volume of rectangular solid on:

brainly.com/question/15116803

#SPJ1

8 0
2 years ago
Help 8th grade math need answers quick
stepladder [879]

Answer:

A few examples:

0. 0

1. Undefined

2. -3/5

3. Undefined

...

7. 493

8. 5/2

....

Learn how to find the slope below for the other problems.

Step-by-step explanation:

Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.

It can also be found using the formula y=mx+b known as the slope intercept form.

Here are a few examples:

0. This is a horizontal line which always has slope 0.

1. This is a vertical line which always has slope undefined.

2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5

3. To find the slope, use the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{6--4}{-2--2}=\frac{6+4}{-2+2}=\frac{10}{0}=undefined

Since we can't divide by 0, it is undefined.

7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.

8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.

5x-2y=48

-2y=48-5x

y=5/2 x -24

So the slope is 5/2.

8 0
3 years ago
Determine the median of the numbers: 6 5 2 2 5 00
zavuch27 [327]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Please explain your answer as well, THANKS!!!
dusya [7]

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

<u>For the first 3 letters slot:</u>

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

<u>For the three digits slot:</u>

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

7 0
3 years ago
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