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3 years ago

When completely factored x²-x-12 is equivalent to which of the following

Mathematics

1 answer:

QveST [7]3 years ago

4 0

Answer:

$→{x}^{2} - x - 12 \\ = {x}^{2} - 4x + 3x - 12 \\ = x(x - 4) + 3(x - 4) \\ = \boxed{ (x - 4)(x + 3)}✓$

D. (x - 4)(x + 3) is the right answer.

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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = $\frac{width}{2}$

ME = $\frac{0.14}{2}$

ME = $0.07$

$ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}$

use p = 0.5

z at 95.8% is 1.727(using calculator)

$0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}$

$\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}$

$(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}$

$n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}$

$n \geq 152.169$

So, Option B is true

Hence we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0

3 years ago

What is the volume of the triangular prism below?

worty [1.4K]

Answer:

4.5 ft

Step-by-step explanation:

18 inches = 1.5 ft

$\frac{1}{2} \times 1.5 \times 2 \times 3 = 4.5$

Volume of triangular prism = Base Area x Length

Hope this helps

8 0

4 years ago

Mental heath day GET SOMETHING OFF YOUR CHEST! (20 points)

Valentin [98]

Answer:

I'm tried of smiling for others and holding all their problems

6 0

3 years ago

Read 2 more answers

GOT ANOTHER QUESTION... WILL MAKE BRAINLIEST

Oksi-84 [34.3K]

Answer:

s= -1

Step-by-step explanation:

7= -10s-3

+3 +3

10=-10s

s= -1

4 0

3 years ago

Each lap around the track is 1/4 of a mile. How many laps will Quadir need to jog if he wants to jog 3 1/8 miles? Helpppp

weeeeeb [17]

9514 1404 393

Answer:

12 1/2 laps

Step-by-step explanation:

To find the number of laps, divide the distance by the distance per lap.

(3 1/8) ÷ (1/4) = (3 1/8) × (4/1) = 3·4 +(1/8)·4 = 12 4/8 = 12 1/2

Quadir needs to jog 12 1/2 laps if he wants to jog 3 1/8 miles.

5 0

3 years ago