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2 years ago

Which is bigger, 7/8" or 9/16"?

Mathematics

2 answers:

Sphinxa [80]2 years ago

8 0

7/8 is bigger because if you multiply it by 2 it is 14/16 so it is bigger than 9/16

Iteru [2.4K]2 years ago

5 0

7/8 and 9/16

7*2/8*2 = 14/16

14/16 and 9/16

Now since we have a common denominator, we can compare the numerators.

14/16 is greater, so 7/8 is greater than 9/16

Answer: 7/8 is bigger

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Convert 88% to a fraction. a 1/8 b 22/25 c 23/50 d 22/55

Elena L [17]

Answer:

The correct answer is B 22/25

Step-by-step explanation:

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2 years ago

An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the

sergeinik [125]

Answer:

The minimum score required for an A grade is 83.

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 72.3 and a standard deviation of 8.

This means that $\mu = 72.3, \sigma = 8$

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

$1.34 = \frac{X - 72.3}{8}$

$X - 72.3 = 1.34*8$

$X = 83$

The minimum score required for an A grade is 83.

5 0

2 years ago

The table below lists the masses and volumes of several pieces of the same type of metal. There is a proportional relationship b

castortr0y [4]

∵ There is a proportional relationship between the mass and the volume of the places of metal.
Let volume = v and mass = m
So, the relation between volume and mass will take the form:
 v = km
where k is constant and can be calculated as follow:
when m = 34.932 , and v = 4.1 ⇒⇒⇒ k = v/m = 0.117371
when m = 47.712 , and v = 5.6 ⇒⇒⇒ k = v/m = 0.117371
when m = 61.344 , and v = 7.2 ⇒⇒⇒ k = v/m = 0.117371
when m = 99.684 , and v = 11.7 ⇒⇒⇒ k = v/m = 0.117371

∴ v = 0.117371 m

For v =15.3
∴ m = v/k = 15.3/0.117371 = 130.356 gram

The mass of a piece of this metal that has a volume of 15.3 cubic centimeters ≈ 130.4 gram (round to the nearest tenth)

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2 years ago

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Answer:

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