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4 years ago

The mean is 18.1

1 answer:

5 0

The standard deviation is 3.

The formula for a z-score is

z = (X-μ)/σ

Using our information, we have

-1.7 = (13-18.1)/σ

Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1

Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3

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19. If the pg", and "terms of an A.P. are a,b, and c respectively. prove that: p(b-c) + (ca) + rſa-b) = 0 50 Approved by Curricu

professor190 [17]

Answer:

Step-by-step explanation:a = m + (p-1)*d

b = m + (q-1)*d

c = m + (r-1)*d

p(b-c) = p*(q-r)*d

q(c-a) = q*(r-p)*d

r(a-b) = r*(p-q)*d

p(b-c)+q(c-a)+r(a-b)

= p*(q-r)*d + q*(r-p)*d +r*(p-q)*d

= (pq-pr+qr-pq+rp-qr)*d

= 0*d = 0

So i prove p(b-c)+q(c-a)+r(a-b)=0 hope this is helpfull

4 0

3 years ago

Which of the following ordered pairs (x,y) satisfies

dexar [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

Which numbers are factors of 29? Select all that apply.<br><br> 5<br> 9<br> 1<br> 21

Tamiku [17]

<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Factors are values that the number can be divided by to produce an integer (whole number)

Simply test them out:

29/5 = 5.8

29/9 = 3.2

29/1 = 29

29/21 = 1.38....

As per the statement above, the only factor of 29 from this line is 1.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0

3 years ago

Celeste is going to summer camp. The table shows the cost of items she will

TEA [102]

Answer:

4(14.75)
4(8) + 4(4.50) + 4(2.25)

Step-by-step explanation:

<em>Note: there is no table so the answer will be based on assumption</em>

<u>Analyzing the answer options:</u>

This may be correct as contains 4 as multiplier

Incorrect as no multiplier of 4

This may be correct as contains 4 as multiplier and the sum is same as the first option

Incorrect as no multiplier of 4

7 0

3 years ago

A group of students at a high school took a standardized test. The number of students who passed or failed the exam is broken do

Anuta_ua [19.1K]

Answer:

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

$P(A \cap B) = P(A)P(B)$

Probability of male:

58 + 14 = 72 males out of 58 + 14 + 98 + 11 = 181

P(male) = 72/181 = 0.3978

Probability of failling:

14 + 11 = 25 students fail out of 181. So

P(fail) = 28/181 = 0.1381

Multiplitication of male and failling:

0.3978*0.1381 = 0.0549

Probability of being male and failing:

14 out of 181. So

14/181 = 0.0773

Different probabilities, so not independent.

Since P(male)xP(fail) = 0.0549 and and P(male and fail) = 0.0773, the two results are different, so the events are not independent.

5 0

3 years ago