All categories

3 years ago

The value of 3 sqrt x^10, when x=-2, can be written in simplest form as a^3sqrtb, where a -8 and b=

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

5 0

Answer:

A=-8,b=-2

Step-by-step explanation:

I toke test on eden

You might be interested in

What is longer 180 seconds or 3 minutes

Neporo4naja [7]

They are both the same. There are 60 seconds in one minute, so 60*3 is 180. Since 180=180, they are equal.

:)

6 0

3 years ago

Read 2 more answers

A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute

nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

$P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}$

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

$P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301$

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

$P(k\geq8)=1-P(k$

$P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\$

$P(k$

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

$P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002$

5 0

3 years ago

Write in numbers: seven times the quotient of 8 and 5

miv72 [106K]

Answer:

7(8×5)

7(40)

7×40

=280

6 0

3 years ago

Ann can run 27 miles in 3 hours.What is average speed in miles per hour?

charle [14.2K]

Step-by-step explanation:

To find the average speed, you divide miles by hours.

27/3

So the average speed in miles per hour is 9.

Hope it helps!

8 0

3 years ago

Is (31*sqrt(5))/sqrt(65) = 31*sqrt(5/65) ? I'm still new to all this sqrt-ing stuff

sweet [91]

Yes, it is.
(31√5) / √65=31√(5/65)

Answer: yes, it is.

3 0

3 years ago