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Fynjy0 [20]
2 years ago
5

The pattern 7, 21, 63, 189, ________ follows the rule multiply by 3. What is the next number in the pattern?

Mathematics
1 answer:
Radda [10]2 years ago
6 0

Answer

The answer is 567

Step-by-step explanation:

189*3=567

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An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the
NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

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 = 71.9, \sigma = 7.8

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

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

-0.995 = \frac{X - 71.9}{7.8}

X - 71.9 = -0.995*7.8

X = 64

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

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

-1.28 = \frac{X - 71.9}{7.8}

X - 71.9 = -1.28*7.8

X = 62

Grades between 62 and 64 result in a D grade.

6 0
3 years ago
I am very confused on this
Alexus [3.1K]
Well first add up all the numbers of marbles (which is 34 in total) and divide it by the number of black marbles.
(which should give you 8/34)
Then simplify the fraction and you should get 4/17
8 0
3 years ago
Read 2 more answers
Eight women and six men apply for a job at Google. Four of the applicants are selected for interviews. Let X denote the number o
Free_Kalibri [48]

Answer:

See below

Step-by-step explanation:

images attached showing all working

a) The possible values of X are as follows

X = {0,1,2,3,4}

P(x) = P(X=x)

b) The cdf in this case, as in the F(x), comes out to be a step function graph on the basis of values obtained from the probability mass function.

c) To find out the probability when more women are interviewed than me, add together the matrices from when value of X is equal to 2, 3 and 4 (from part a).

7 0
3 years ago
What is 363.3 times 3456.2
KonstantinChe [14]

Answer: 1255637.46

Step-by-step explanation: asked my teacher

3 0
3 years ago
Point slope graph y+2÷4(x+5)
ladessa [460]

Answer:

See attachment for graph

Or

The slope intercept form is y=4x+18

Step-by-step explanation:

Assuming you want to graph the straight line given in point-slope form as

y+2=4(x+5)

Then we need at least two points on this line

When we compare to the point-slope formula y-y_1=m(x-x_1) then we  obtain (-5,-2) as a point on this line so we plot it.

When x=0, y=4(0+5)-2=18 so we plot (0,18)

We then draw a straight line through as shown in the attachment.

On the other hand, if you had wanted the equation slope intercept form, then we expand to obtain:

y+2=4x+20

\implies y=4x+20-2

\implies y=4x+18

3 0
3 years ago
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