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2 answers:
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Answer:
The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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:
What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile
This is the value of X when Z has a pvalue of 0.9. So it is X when Z = 1.28.
The reading speed of a sixth-grader whose reading speed is at the 90th percentile is 155.72 words per minute.
Answer:
Option A = 7.5 cups
Step-by-step explanation:
Given : Suppose you're making a soup that uses 5 cups of chicken broth and teaspoons of corn starch for 8 servings. You need to make 12 servings of the soup, so you'll need
teaspoons of corn starch.
To find : How much broth do you need?
Solution :
A soup that uses 5 cups of chicken broth and teaspoons of corn starch for 8 servings.
i.e. 5 cups + teaspoon = 8 servings ......(1)
You need to make 12 servings of the soup, so you'll need
i.e. x cups + teaspoon = 12 servings ........(2)
So, First we find the ratio
Ratio is
So to equal the ratio multiply (1) by
cups +
teaspoon =
servings
cups +
teaspoon = 12 servings
On comparing with (2),
The value of x is .
Therefore, The broth do we need is cups.
So, Option A is correct.