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goblinko [34]
4 years ago
7

The standard IQ test has a mean of 102 and a standard deviation of 13. We want to be 98% certain that that we are within 5 IQ po

ints of the true mean. Determine the required sample size.
Mathematics
1 answer:
aleksklad [387]4 years ago
5 0

Answer:

37

Step-by-step explanation:

Margin of error = critical value × standard error

For 98% confidence, CV = 2.326 (from t table).

Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.

Plugging in:

5 = 2.326 × 13 / √n

n = 36.6

Rounding up, n = 37.

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Find the next two terms of the sequence: 80, ?40, 20, ?10, ______, ______. A) 20, 40 B) 1 2 , 1 4 C) 5, ? 5 2 D) ?30, ?40
denis23 [38]

Answer:

The correct option is C) 5, 5/2

The sequence given is:

80, 40, 20, 10, _____, ______

If we look at the given numbers, it appears that every next number is obtained by dividing the previous number of 2.

Like 40 is obtained by dividing 80 by 2

\frac{80}{2}=40

Similarly:

\frac{40}{2}=20

\frac{20}{2}=10

\frac{10}{2} = 5

\frac{5}{2}

Therefore, the complete sequence is:

80, 40, 20, 10, 5, 5/2

Hence the correct option is C) 5, 5/2


6 0
3 years ago
Read 2 more answers
Pls help asap, find the height of the cylinder and round to the nearest tenth
Elena L [17]

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

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271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

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Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

3 0
2 years ago
Which expression is equivalent to (4x+11)+7x?
Anna007 [38]
HEY THERE FAM.

THE CORRECT ANSWER IS....<span> D.(4x-7x)+11</span>
4 0
3 years ago
Find the largest prime divisor of 76^2 − 1.
saveliy_v [14]

Answer:

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Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

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3 years ago
Heather's puppy weighs 23 pounds. He has been gaining (3 pounds every month as he grows. If this pattern continues, how much wil
disa [49]
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3 years ago
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