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3 years ago

7

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

ndent trials of the experiment. n=10 p=0.15 x<4
The probability of x<4 successes is

1 answer:

enyata [817]3 years ago

4 0

Step-by-step explanation:

Find P(X=4)

By doing 4C4* (0.15)^4*(0.85)^0

Find P(X=1, 2,3) by doing 1- Ans you get for P(X=4)

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Answer:

A=124 B=60 and C=60

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3 years ago

A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fenci

sveta [45]

Answer:

x = 500 yd

y = 250 yd

A(max) = 125000 yd²

Step-by-step explanation:

Let´s call x the side parallel to the stream ( only one side to be fenced )

y the other side of the rectangular area

Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)

p = x + 2*y

1000 = x + 2 * y ⇒ y = (1000 - x )/ 2

And A(r) = x * y

Are as fuction of x

A(x) = x * ( 1000 - x ) / 2

A(x) = 1000*x / 2 - x² / 2

A´(x) = 500 - 2*x/2

A´(x) = 0 500 - x = 0

x = 500 yd

To find out if this value will bring function A to a maximum value we get the second derivative

C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500

The side y = ( 1000 - x ) / 2

y = 500/ 2

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2 years ago

(3/5)^2+4X3-2 what is the value of the expression

Sliva [168]

Answer:

10.36

Step-by-step explanation:

So your solution would be:

$(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=(\frac{3}{5})^{2} + 4 \times 3 - 2$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

$=12.36 - 2$

$=10.36$

Just try to remember PEMDAS.

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.

This is the order we follow when going about expressions with many operations.

Let's start with the parenthesis part. Notice that there is an exponent beside the parenthesis enclosing the fraction. Here we use the quotient to a power rule. We distribute the exponent to the numerator and the denominator.

$=(\frac{3}{5})^{2} + 4 \times 3 - 2\\$

$=\dfrac{3^{2}}{5^{2}} + 4 \times 3 - 2$

$=\dfrac{9}{25} + 4 \times 3 - 2$

Now that we got the parenthesis and exponent out of the way, let's move on to the next. Multiplication/Division. Whichever comes first, you do it first.

We have a fraction so we do that first. Then we do the multiplication after.

$=0.36 + 4 \times 3 - 2$

$=0.36 + 12 - 2$

Next we do the addition/subtraction. Again, whichever comes first.

$=12.36 - 2$

$=10.36$

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