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2 years ago

All of the following are equal except

Mathematics

1 answer:

KengaRu [80]2 years ago

8 0

Except what? Where is the problem?

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The height, in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84. (

Schach [20]

Answer:

Step-by-step explanation:

Given that the height in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.

X is N(64, 2.8)

Or Z = $\frac{x-64}{2.8}$

a) the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

$=P(59.8$

b) $P(X\geq 59)\\= P(X\geq -1.78)\\ \\=0.9625$

c) For 4 women to be height 260 inches is equivalent to

4x will be normal with mean (64*4) and std dev (2.8*4)

4x is N(266, 11.2)

$P(4x>260)= \\P(Z\geq -0.53571)\\=0.7054$

d) Z is N(0,1)

E(Z19) = $P(Z>19)\\= 0.000$

since normal distribution is maximum only between 3 std deviations form the mean on either side.

3 0

2 years ago

Please see the question attached and pleaaasssseeeeeeeee help god will bless youu

patriot [66]

I think You should break it down to the First and third One because of

7 0

3 years ago

Question number 8. Prove that 3 + √5 is an irrational number.

Marina86 [1]

Answer :

Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

$\\ \sf \: 3 + \sqrt{5} = \frac{a}{b} \\ \\ \qquad \: \tiny \sf{(where \: \: a \: \: and \: \: b \: \: are \: \: integers \: \: and \: \: b \: \neq \: 0)} \\$

$\\ \sf \: \sqrt{5} = \frac{a}{b} - 3 = \frac{a - 3b}{b} \\$

Since, a, b and 3 are integers. So,

$\\ \sf \: \frac{p - 3b}{b} \\ \\ \qquad \tiny \sf{ \: (is \: \: a \: \: rational \: \: number \:) } \\$

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

$\\$

Hence, 3 + √5 is an irrational number.

7 0

3 years ago

Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters

solong [7]

Answer:

4 liters

Step-by-step explanation:

300 × 12 = 3600 ml

3600 + 400 = 4000 ml

1 liters = 1000 ml

liters to milliliters need to × 1000

milliliters to liters need to ÷ 1000

4000 ÷ 1000 = 4 liters

4 0

1 year ago

What is the difference, in hours and minutes, between these times?

solmaris [256]

Answer:

a)3hours and 15mins

b)3hours and 10mins

c)2hours and 20mins

d)8hours and 40mins

3 0

2 years ago