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Cerrena [4.2K]
3 years ago
12

What would 4(2+x)=18-x equal

Mathematics
1 answer:
matrenka [14]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

4( 2+x) = 18-x

8 + 4x = 18 - x

4x+x = 18-8

5x= 10

x=2

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55 divided by 11/2 is 10

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Two buildings are 200 feet apart. The height of the taller building is 50 ft. The angle of depression from the top of the taller
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The lengths of bolts in a batch are distributed normally with a mean of 3 cm and a standard
ValentinkaMS [17]

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that \mu = 3, \sigma = 0.04

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

Z = \frac{2.96 - 3}{0.04}

Z = -1

Z = -1 has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

3 0
2 years ago
3x + 2.5 = 6.1 What is x ?
Natalija [7]

Answer:x=1.2

Step-by-step explanation:

3x+2.5=6.1

3x=6.1-2.5

3x=3.6

x=1.2

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An airline weighed the carry-on luggage of all its
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Using the graph, it is found that 976 passengers had carry-on luggage that weighed less than 20 lb.

<h3>Graph:</h3>

The graph is not given in this problem, but an internet search indicates that the information it contains is as follows:

  • 120 passengers carry luggage of 4 lb or less.
  • 222 passengers carry luggage between 5 lb and 9 lb.
  • 378 passengers carry luggage between 10 lb and 14 lb.
  • 256 passengers carry luggage between 15 lb and 19 lb.
  • 90 passengers carry luggage between 20 lb and 24 lb.
  • 40 passengers carry luggage between 25 lb or more.

Hence, the number of passengers with luggage below 20 lb is:

120 + 222 + 378 + 256 = 976

976 passengers had carry-on luggage that weighed less than 20 lb.

A similar problem, also involving the use of graph, is given at brainly.com/question/25836450

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