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3 years ago

What number times itself gives 256

Mathematics

2 answers:

GalinKa [24]3 years ago

8 0

Answer:

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

antoniya [11.8K]3 years ago

8 0

The answer is 16x16 hope this helps have a GREAT day

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Subtract and simplify (2y+14.6m+3.8)-(34.8m+15.6+2y)

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idk if this is right or not, but I got africa...

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3 years ago

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Imagine you are given the diameter of a circle and asked to find its volume. Select the statement that describes what you should

ivanzaharov [21]

Answer:

We need to take the diameter and divide by 2 to find the radius

Step-by-step explanation:

The volume of a sphere is found by

V = 4/3 pi r^3

So we need the radius

We know the diameter

r = d/2

We need to take the diameter and divide by 2

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3 years ago

USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse

pychu [463]

Answer:

a) $P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

b) $E(X) = np = 4*0.75=3$

c) $Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

d) $P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=4, p=1-0.25=0.75)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039$

$P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469$

$P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211$

$P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422$

$P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316$

Part b

The expected value is givn by:

$E(X) = np = 4*0.75=3$

Part c

For the standard deviation we have this:

$Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866$

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

$P(X \geq 3) \geq 0.98$

And the dsitribution that satisfy this is $X\sim Binom(n=9,p=0.75$

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

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3 years ago

A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of th

ANEK [815]

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

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3 years ago

Sheila bought 10 1⁄2 oz of almonds for $3.36. How much did the almonds cost per ounce?

Marrrta [24]

3.36/10.5 = 0.32

It costs $0.32 an ounce

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3 years ago