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3 years ago

My number is a perfect square the only prime number in its prime factorization is 2

1 answer:

8 0

I think the number would be 256 because

256 :
128*2
64*2
32*2
16*2
8*2
4*2
2*2

secondly if u divide 256 by 32 it gives 8 so it's a factor of 32

and lastly 2+5+6 = 13 which is an odd number

hope this helps!

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You sell 200 laptops per month at $499 per laptop. You sell 350 smartphones per month at $399 per phone. Which

tatuchka [14]

Answer:

B) Smartphones

Step-by-step explanation:

In order to answer this question we need to find the total revenue for the laptops and smartphones.

Let's start with the laptops.

Given:

200 laptops/month
$499 per laptop

To find the total revenue of all these laptops we need to multiply 200 by 499.

$(200) *(499) = 99,800$

Therefore, the total revenue of the laptops alone is $99,800.

Now, let's do the smartphones.

Given:

350 smartphones/month
$399 per smartphone

To find the total revenue of all these smartphones we need to multiply 350 by 399.

$(350) * (399) = 139,650$

Therefore, the total revenue of the smartphones alone is $139,650.

Comparing the two revenues we see that the smartphones generate more sales in dollars.

Hope this helps!

- Kay

7 0

2 years ago

Evaluate 10.2x + 9.4y when x=2 and y=3

vekshin1

10.2 x 2 = 20.40
9.4 x 3 = 28.20
Total= 48.60

5 0

3 years ago

1 27 points from 35 points.

pishuonlain [190]

Answer:

127 from 35

127 - 35

Step-by-step explanation:

6 0

3 years ago

Haley substituted the values of a, b, and c into the quadratic formula below.

Marysya12 [62]

The quadratic formula is x equals negative b plus or minus the square root of b squared minus four times a times c, all over 2a.
Looking at the equation, we can find the values for a, b, and c
a=7
b= -10
c= -2

So then putting that back into standard form, which is ax^2+bx+c, we know Haley's function in standard form is 7x^2-10x-2

7 0

3 years ago

Read 2 more answers

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.

4 0

3 years ago