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katen-ka-za [31]
2 years ago
10

What is the cube root of (5x^3)(4x)^3?

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
4 0

Answer:

125 for the first one and the second one is 64

Step-by-step explanation:

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Heelp me with this plz im trying to help one of my older sisters
morpeh [17]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
Please answer as soon as possible
Grace [21]
The answer is the second one (B.)
3 0
2 years ago
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It is known that diskettes produced by a cer- tain company will be defective with probability .01, independently of each other.
zheka24 [161]

Answer:

1.27%

Step-by-step explanation:

To solve this problem, we may consider a binomial distribution where a customer can either accept or reject (and return) the diskette package.

Lets consider  some aspects:

1. From the formulation of the exercise we know that a package is accepted if it has at most 1 defective diskette. So our event A is defined as:

A = 0 or 1 defective diskette

2. The probability of a diskette being defective is 0.01

3. Each package contains 10 diskettes.

If X is defined as number of defective diskettes in the package, the probability of X is given by a binomial distribution with probability 0.01 and n=10

X ~ Bin(p=0.01, n=10)

Let us remember the calculation of probability for the binomial distribution:

P(X=x)=nCx*p^{x}*(1-p)^{(n-x)} with x = 0, 1, 2, 3,…, n

Where

n: number of independent trials

p: success probability  

x: number of successes in n trials

In our case success means finding a defective diskette, therefore

n=10

p=0.01

And for x we just need 0 or 1 defective diskette to reject the package

Hence,

P(X=x)=10Cx*0.01^{x}*(1-0.01)^{(10-x)} with x = 0, 1

So,

P(A)=P(X=0)+P(X=1)

P(A)=10C0*0.01^{0}*(1-0.01)^{(10-0)} + 10C1*0.01^{1}*(1-0.01)^{(9)}

P(A)=0.99^{10}+10*0.01*0.99^{9}

P(A)=0.9957

Now, because we have 3 packages and we might reject just 1 of them, we can find this probability like this:

3*(1-P(A))*P(A)*P(A) = (1-0.9957)*0.9957*0.9957=0.0127

Finally, we have that the probability of returning exactly one of the three packages is 1.27%

3 0
2 years ago
What are all of the x-intercepts of the continuous function in the table? (0, 8) (–4, 0) (–4, 0), (4, 0) (–4, 0), (0, 8), (4, an
crimeas [40]

Answer:

The  x-intercepts of the continuous function in the table are:

(-4,0) and (4,0).

Step-by-step explanation:

We are given a table of values of the continuous functions as:

(0, 8) (–4, 0) (–4, 0), (4, 0)

The x-intercept of a function is a point on the x-axis i.e. where y=0. (i.e. The x-intercept is where a line crosses the x-axis ).

Here y=f(x).

Hence from the given set of values we have:

f(x)=0 when x= -4 and x=4.

Since we are given the points as (-4,0) and (4,0).

Hence, the x-intercepts of the function f(x) is: (-4,0) and (4,0).


5 0
2 years ago
Write a related subtraction fact for 9 + 3 = 12. Explain how the two facts are related.
Westkost [7]

12-9=3
12-3=9

You then can add any of the numbers to get 12, which is how they are  related

3 0
3 years ago
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