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nlexa [21]
2 years ago
12

18/13=3/4x what does x equal?

Mathematics
1 answer:
sveta [45]2 years ago
5 0

Answer:

x = 24/13

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

18/13 = 3/4x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide both sides by 3/4:          x = 24/13

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    18/13 = 3/4(24/13)
  2. Multiply:                        18/13 = 18/13
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An elevator has a placard stating that the maximum capacity is 1296 lb long dash — 8 passengers.​ So, 8 adult male passengers ca
Masja [62]

Answer:

There is a 98.26% probability that it is overloaded.

This elevator does not appear to be safe.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem, we have that:

Assume that weights of males are normally distributed with a mean of 170 lb, so \mu = 170

They have a standard deviation of standard deviation of 29 lb, so \sigma = 29.

We have a sample of 8 adults, so we have to find the standard deviation of the sample to use in the place of \sigma in the Z score formula.

s = \frac{\sigma}{8} = \frac{29}{8} = 3.625

Find the probability that it is overloaded because they have a mean weight greater than 162 lb, so X = 162

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

Z = \frac{162 - 170}{3.625}

Z = -2.21

Z = -2.21 has a pvalue 0.0174.

So, there is a 1-0.0174 = 0.9826 = 98.26% probability that it is overloaded.

Any probability that is above 95% is considerer unusually high. So, this elevator does not appear to be safe, since there is a 98.26% probability that it is overloaded.

8 0
3 years ago
A 24 hour digital watch shows 19:29:00 on its face. The first two digitals adicate
liraira [26]

Answer:

271

Step-by-step explanation:

4 hours and 31 minutes = 240 + 31 = 271 minutes

8 0
2 years ago
a 4inch wide by 6inch long picture is placed on a solid mat that forms a frame around it. the mat is 8 inches long. the mat and
gulaghasi [49]
The area of the mat is 42.67 inches^2 or 42 and 2/3 in^2
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9514 1404 393

Answer:

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Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

  a² + b² = c²

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