the answer would be seven because seven to the 3rd power is 343 and cubed means that number multiplied by itself three times please mark braineist answer!
The rule for dilation (scale factor k) about the origin is given by:
(x,y)->(kx,ky)
The scale factor k can be obtained from any one of the ratios:
4) The first and second terms for both ratios need to be in the same order.
Step-by-step explanation:
Given ratio is:
16:36
In order to find any ratio equivalent to given ratio, the ratio can be divided by a number or multiplied to a number.
The equivalent ratio that is given: 72:32
If we multiply the given ratio by 2: We get 32:72
So,
Looking at the options we can conclude that the right answer is
4) The first and second terms for both ratios need to be in the same order.
Keywords: Ratio, Fractions
Learn more about ratios at:
#LearnwithBrainly
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be 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 question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.


The score that separates the lower 5% of the class from the rest of the class is 55.6.