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2 years ago

6

a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will

be random, what is the probability that all 4 units are good

1 answer:

kupik [55]2 years ago

3 0

Answer:

The probability that all 4 units are good is 10.66%.

Step-by-step explanation:

Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:

14 - 6 = 8

8/14 x 8/14 x 8/14 x 8/14 = X

0.5714 x 0.5714 x 0.5714 x 0.5714 = X

0.1066 = X

0.1066 x 100 = 10.66

Therefore, the probability that all 4 units are good is 10.66%.

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20 POINTS ! Evaluate ∫ e3x cosh 2x dx

3241004551 [841]

Question:
Evaluate $\int{e^{3x}cosh(2x)dx$

Solution:
substitute the identity
$cosh(2x)=\frac{e^{2x}+e^{-2x}}{2}$
into integral
$I=\int{e^{3x}cosh(2x)dx}$
$=\int{e^{3x}\frac{e^{2x}+e^{-2x}}{2}dx}$
$=\int\frac{e^{3x+2x}}{2}+\frac{e^{3x-2x}}{2}dx$
$=\int\frac{e^{5x}}{2}+\frac{e^{x}}{2}dx$
$=\frac{e^{5x}}{2*5}+\frac{e^{x}}{2}+C$
$=\frac{e^{5x}}{10}+\frac{e^{x}}{2}+C$

5 0

3 years ago

A polynomial ppp has zeros when x=-2x=−2x, equals, minus, 2, x=\dfrac13x= 3 1 x, equals, start fraction, 1, divided by, 3, end

Veronika [31]

Answer:

Polynomial equation is, $p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6$

Step-by-step explanation:

Given:

The zeros of the polynomial, $p$ , are $x=-2,\frac{1}{3}, 3$ .

Therefore,

$x= -2\\(x+2)=0$

So, $(x+2)$ is a factor of the polynomial.

$x=\frac{1}{3}\\3x=1\\3x-1=0$

So, $(3x-1)$ is a factor of the polynomial.

$x=3\\x-3=0$

So, $(x-3)$ is also a factor of the polynomial.

Therefore, a polynomial can be expressed in terms of the product of its factors.

Thus, $p=(x+2)(3x-1)(x-3)$

Expanding $(x+2)\textrm{ and }(3x-1)$ , we get

$(x+2)(3x-1)=3x^2-x+6x-2=3x^2+5x-2$

Now, expanding $(3x^2+5x-2)\textrm{ and }(x-3)$ , we get

$(3x^2+5x-2)(x-3)=3x^3-9x^2+5x^2-15x-2x+6=3x^3-4x^2-17x+2$

Therefore, the polynomial could be $p=(x+2)(3x-1)(x-3)=3x^3-4x^2-17x+6$

6 0

3 years ago

BaLLatris [955]

Answer:

<em>4 of the conspiracy theories were true</em>

Step-by-step explanation:

<u>Percentages</u>

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

7 0

2 years ago

Carla currently has $209 and plans to save an additional $14 each week to buy a tablet. She made a table showing the total amoun

Vladimir [108]

the equation is total money saved = 209+14x

6 0

3 years ago

Read 2 more answers

A book is marked down by 28 percent from an original price of $19.50. What is the new price?

kotykmax [81]

First find 28% of $19.50:

($19.50) / (100) x (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04
Hope it helped :)

9 0

2 years ago

Read 2 more answers