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Murljashka [212]
3 years ago
7

Work out the reciprocal of 3.5

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer: 2/7

Step-by-step explanation: change the number into fraction form, reduce it and reverse the numerator and denominator.

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The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard devia
maksim [4K]

6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=22,standard \ deviation (\sigma)=2\\\\For\ x>19:\\\\z=\frac{22-19}{2}=1.5

P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668

6.68% of the students scored at least 19 points on this test

b) 85 percentile corresponds to a z score of 1.04

z=\frac{x-\mu}{\sigma}\\\\1.04 =\frac{x-22}{2} \\\\2.08=x-22\\\\x=24.08

The 85 percentile has a test score of 24.08

Find out more at: brainly.com/question/25012216

7 0
3 years ago
Factor each expression 36abc +54ad
olya-2409 [2.1K]

Answer:

18a(2bc + 3d)

Step-by-step explanation:

36abc + 54ad

Step 1: Find the Highest Common Factor of each

36abc = 2×2×3×3×a×b×c = 18a × 2bc

54ad = 2×3×3×3×a×d = 18a × 3d

HCF = 2×3×3×a = 18a

Step 2: Factor out with HCF

18a(2bc + 3d)

7 0
3 years ago
Jonah has a large collection of marbles he notices that if he borrows five marbles from a from a friend he can arrange the marbl
olga nikolaevna [1]

Answer:

The remainder is 8

Step-by-step explanation:

Let Jonah's Marble=x

If he arranges x marbles into y rows of 13 each, and there are remainders(R)

Then:

x/13=y+(R/13).....(I)

If he borrows 5 marbles from a friend, there will be no remainder. However, the number of rows y, will be increased by 1

New Total Marbles=x+5

(x+5)/13=y+1.....(ii)

x+5=13(y+1)

x=13y+13-5

x=13y+8

From (I)

x=13y+R

Comparing the values of x derived from (I) and (ii)

13y+R=13y+8

Therefore the Remainder, R= 8

5 0
3 years ago
Which section of the function is decreasing? (4 points)
vredina [299]

Answer:

Step-by-step explanation:

D

8 0
3 years ago
Read 2 more answers
Alonso goes on a kayaking trip that costs $50. At the end, he wants to tip the guide 15%. How much will the tip be?
xeze [42]

Answer:

I believe that the tip would be $7.50

Step-by-step explanation:

Well I'm assuming that they want us to find 15% of 50. And 15% of 50 is 7.5

Meaning that the answer is A

8 0
2 years ago
Read 2 more answers
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