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3 years ago

Math Geniuses!

Mathematics

2 answers:

Valentin [98]3 years ago

8 0

Answer:

i think 100 but idk

Step-by-step explanation:

telo118 [61]3 years ago

5 0

Answer:

1000

Step-by-step explanation:

Cause I'm kinda smart

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A test to measure psychotic tendencies was given to a group of 1,000 air force cadets who wished to work in nuclear silos. Any c

Anastaziya [24]

Answer:

Option d) 840

Step-by-step explanation:

Given that a test to measure psychotic tendencies was given to a group of 1,000 air force cadets who wished to work in nuclear silos.

If Score ≥64 would be eliminated.

X is N(52, 12)

Probability for any random person to get eliminated

= $P(X\geq 64)\\= 1-R(64)\\=1-0.8413\\= 0.1587$

Now coming to sample size of 1000 people, we find each person is independent of the other and there are two outcomes either >64 or < 64

So Y no of persons who get more than 64 is binomial with n =1000 and p = 0.1587

Mean of Y = E(Y)

= no of people who were not accepted $=1000(0.1587) = 158.7$

No of people accepted $= 1000-158.7 = 841.3\\=841$

Approximately we get 840 so option d

6 0

4 years ago

Jamie has just finished writing a research paper. She has hires a typist who will type the paper on the computer for her. The ty

never [62]

<span>The maximum size is 40 pages at $3.50 and 16 pages at $8

c=40*3.50+16*8
c=140+128
c=$268</span>

3 0

3 years ago

My phone rang midway between 10:53 A.M. one day and 1:05 P.M. the next day. It rang at

nignag [31]

Step-by-step explanation:

So lets count the time between 10:53 and 1:05

7 Mins to 11

2 Hours to one

5mins to 1:05

Total 2 hours 12 mins divided by 2 to find the middle

1 hour 6 mins. We add 1 hr 6 mins to 10:53.

10:53 + 6mins equals 11:59

11:59 + 1hour = 12:59

Answer c

4 0

4 years ago

Find the length of the following curve. If you have a grapher, you may want to graph the curve to see what it looks like.

stepladder [879]

The length of the curve $y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6 is 192 units

<h3>How to determine the length of the curve?</h3>

The curve is given as:

$y = \frac{1}{27}(9x^2 + 6)^\frac 32$ from x = 3 to x = 6

Start by differentiating the curve function

$y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x$

Evaluate

$y' = x(9x^2 + 6)^\frac 12$

The length of the curve is calculated using:

$L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx$

This gives

$L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx$

Expand

$L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx$

This gives

$L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx$

Express as a perfect square

$L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx$

Evaluate the exponent

$L =\int\limits^6_3 {3x^2 + 1} \ dx$

Differentiate

$L = x^3 + x|\limits^6_3$

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units