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maw [93]
3 years ago
14

Hiiiiiiiiiiiiii there

Mathematics
1 answer:
Ivenika [448]3 years ago
5 0

Answer:

D. 18.18

Step-by-step explanation:

Based on the information given we would set up the ratio

\frac{27.5}{25}  =   \frac{20}{x}We then cross multiply to get 20x25=27.5x

multiply

500=27.5x

divide to solve for x

x=18.18

width = 18.18

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Write an expression to represent the perimeter of:
kotykmax [81]

"Perimeter" is the distance all the way around the drawing.  If the drawing has sides, then the perimeter is the SUM of the lengths of all the sides.  It's exactly the distance an ant would have to walk along the line, to get all the way around to where he started from.

To get the perimeter of the triangle, you have to add up the lengths of the three sides.

(2a - 3) + (2a) + (3a + 1) =

2a - 3 + 2a + 3a + 1 .

Add up all the 'a's: 2a + 2a + 3a = 7a

Add up all the just plain numbers: -3 + 1 = -2

Write them together, as a binomial:  7a - 2

THAT's your expression for the perimeter.

4 0
3 years ago
The diagram represents a reduction of a triangle by using a scale factor of 0.8.
Alekssandra [29.7K]

Answer:

4.8 inches

Step-by-step explanation:

<em>See comment for complete question</em>

Represent the larger triangle with 1 and the smaller with 2.

So, we have:

H_1 =6\ in -- height of 1

Required

Determine H2 --- Height of 2

To do this we apply dilation formula.

Original * Scale\ Factor = New

In this case:

H_1 * Scale\ Factor = H_2

Substitute 6 for H1 and 0.8 for Scale Factor

6* 0.8 = H_2

4.8= H_2

Hence, the height of the smaller triangle is 4.8 inches

3 0
2 years ago
If M=5x^2+7x-4 and N=-3x^2-4x+5, then M-N equals
Phantasy [73]

Answer:

8x² + 11x - 9

Step-by-step explanation:

M - N

= 5x² + 7x - 4 - 1(- 3x² - 4x + 5) ← distribute parenthesis by - 1

= 5x² + 7x - 4 + 3x² + 4x - 5 ← collect like terms

= 8x² + 11x - 9

4 0
2 years ago
"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
there are 4 oranges and 2 tangerines in a basket. Which fraction describes the part of the basket that is orange​
Pepsi [2]

Answer:

4/6

Step-by-step explanation:

You know that there is a total of 6 fruits in the basket.(you can find the total by adding the number of each item together.)

Then you simply find the total amount of oranges(4).

"There are 4 oranges out of the 6 fruits in the basket"/

So, 4/6.

<em>Hope this helped! :)</em>

6 0
3 years ago
Read 2 more answers
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