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3 years ago

F(x) = 3x^2 - 4x Find f(2).

Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

Answer:

f(2)= 3(2)^2 - 4(2)

3(4) - 8

12 - 8 = 4

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In a manufacturing plant that produces new computers, a 0.15 probability exists that a computer will be defective. if five compu

Sindrei [870]

The probability that all of them will be defective is 0.0000759375

Explanation

The general Binomial Probability formula is....

$P= ^nC_{r}*p^r*(1-p)^n^-^r$ , where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.

Given, the probability that a computer will be defective is 0.15 , so p = 0.15

Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5

Now according to the above formula....

$P= ^5C_{5}*(0.15)^5*(1-0.15)^5^-^5 \\ \\ P= 1*(0.15)^5* (0.85)^0\\ \\ P=(0.15)^5 =0.0000759375$

So, the probability that all of them will be defective is 0.0000759375

7 0

4 years ago

5) Solve. x - 32 = 73 A) x = 41 B) x = 105 C) x = 2336 D) x = 2 9/32

Mice21 [21]

Answer:

Step-by-step explanation:

105 - 32 = 73

6 0

3 years ago

Read 2 more answers

0.75 = 0.750 are they equal

Sliva [168]

Yes they are the same. The number on the right just has an extra zero. You can add an infinite amount of zeros to the end of a number without changing it's value.

5 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP 25 PTS

olya-2409 [2.1K]

Hello from MrBillDoesMath!

Answer:

Choice B ( (x+6)/5) )

Discussion:

y = f(x) = 5x - 6

To solve for the inverse of f, replace "y" by "x" and "x" by "y" in the original equation. That is, solve for "y" in

x = 5y -6 => add 6 to both sides

x + 6 = 5y => divide both sides by 5

y = (x+6)/5

"y" above is the inverse, which is Choice B

Thank you,

MrB

4 0

3 years ago

A suspension bridge has two main towers of equal height. A visitor on a tour ship

Scilla [17]

Answer:

The Height of the tower is 188.67 ft

Step-by-step explanation:

Given as :

The angle of elevation to tower = 15°

The distance travel closer to tower the elevation changes to 42° = 497 ft

Now, Let the of height of tower = h ft

The distance between 42° and foot of tower = x ft

So, The distance between 15° and foot of tower = ( x + 497 ) ft

So, From figure :

In Δ ABC

Tan 42° = $\frac{perpendicular}{base}$

Or , Tan 42° = $\frac{AB}{BC}$

Or, 0.900 = $\frac{h}{x}$

∴ h = 0.900 x

Again :

In Δ ABD

Tan 15° = $\frac{perpendicular}{base}$

Or , Tan 15° = $\frac{AB}{BD}$

Or, 0.267 = $\frac{h}{( x + 497 )}$

Or, h = ( x + 497 ) × 0.267

So, from above two eq :

0.900 x = ( x + 497 ) × 0.267

Or, 0.900 x - 0.267 x = 497 × 0.267

So, 0.633 x = 132.699

∴ x = $\frac{132.699}{0.633}$

Or, x = 209.63 ft

So, The height of tower = h = 0.900 × 209.63

Or, h = 188.67 ft

Hence The Height of the tower is 188.67 ft Answer

3 0

3 years ago