Can someone help me :(

Mathematics

1 answer:

Ivan3 years ago

7 0

The triangles are similar by AAA so make ratios and solve
$\frac{21}{14} = \frac{x}{20} \\ x = \frac{21 \times 20}{14} \\ x = 30$

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Shkiper50 [21]

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4 0

3 years ago

Five less than the sum of x and y

ratelena [41]

Answer: x+y>5 or (x+y)-5

Step-by-step explanation:

There are two potential ways of writing five less than the sum of x and y. You can use an expression or an inequality.

Inequality

By using an inequality, we would use the less than sign because 5 is <u>less than</u> the sum of x and y.

5<x+y

We can also write it where the variables are on the left side, which is usually preferred.

x+y>5

-------------------------------------------------------------------------------------------------------------

Expression

For an expression, we would basically write an equation, but without the equals sign.

(x+y)-5

Since 5 is less than the sum of x and y, we would subtract 5 from x+y. We don't necessarily need to put parentheses around x+y since the order of operations tells us to add or subtract from left to right in order. It is still good to be specific, saying that it is the sum of x and y.

3 0

4 years ago

as a parking security officer you must record the license plate of every car that enters the parking garage during your 9 hour s

Novay_Z [31]

I think it will be 23 because you will divide 208 by 9 and you will get
23 r1

6 0

3 years ago

Read 2 more answers

Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm an

marusya05 [52]

Answer:

The probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

Step-by-step explanation:

The complete question is:

Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm and a standard deviation of 0.002 mm Anew book will be printed on 500 sheets of this paper. Approximate the probability that the thicknesses at the entire book (excluding the cover pages) will be between 49.9 mm and 50.1 mm. Note: total thickness of the book is the sum of the individual thicknesses of the pages Do not round your numbers until rounding up to two. Round your final answer to the nearest hundredth, or two digits after decimal point.

Solution:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e S, will be approximately normally distributed.

Then, the mean of the distribution of the sum of values of X is given by,

$\mu_{S}=n\mu$