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Rom4ik [11]
1 year ago
13

For A-D, select each fraction that is equal to 4 5

Mathematics
1 answer:
ratelena [41]1 year ago
8 0

The fractions 16/20, 12/15, and 8/10 are equivalent fractions to 4/5.

When writing equivalent fractions, the numerator and denominator should be multiplied or divided by the same number. This is the reason why when these fractions are simplified, they are reduced to the same value.

Let us understand the two ways in which we can make equivalent fractions:

Now, Divide the denominator or numerator by the same number or multiply the denominator and the numerator by the same number.

So, the equivalent fractions for 4/5 are:

(4/5) × (2/2) = (4 × 2) / (5 × 2) = 8/10

(4/5) × (3/3) = (4 × 3) / (5 × 3) = 12/15

(4/5) × (4/4) = (4 × 4) / (5 × 4) = 16/20

After simplifying, 16/20, 12/15, and 8/10 equal 4/5, indicating that they are identical in nature.

Learn more about fractions here:

brainly.com/question/1622425

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. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person
bulgar [2K]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or greater?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or greater

5 0
3 years ago
X+8=21 I need helpppp
Mrac [35]
You add 13 and 8 it gets 21 so for X its 13
8 0
3 years ago
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Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step
vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

F.

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

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12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

H.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

J.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0
2 years ago
The length of the table is 9 feet . Express the length in inches
diamong [38]

Answer:

the length of the table is 108 inches

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3 years ago
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Find the perimeter and area of a rectangle with a width of 2 feet and a length 3 times as long.
rusak2 [61]

Answer:

Length = Width * 3

Width = 2 ft

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5 0
2 years ago
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