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3 years ago

X2-16= -2x - 1 Please help

Mathematics

1 answer:

sineoko [7]3 years ago

7 0

Answer:

The solutions are -5 and 3.

Step-by-step explanation:

$x^2 - 16 = -2x-1$

$x^2 - 16 +2x+1=0$

$x^2 +2x-15=0$

Factoring the quadratic expression:

$(x+5)(x-3)= x^2 +2x-15=0$

So,

$x+5 = 0 \implies x =-5$

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

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Determine whether or not the given procedure results in a binomial distribution. If not, identify which condition is not met. Sp

alisha [4.7K]

Answer:

We conclude that is the binomial distribution.

Step-by-step explanation:

We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We know that: Spinning an American roulette wheel 45 times and recording the number of times the ball lands on green.

So with each new turn, we have the same opportunity for the ball to be on the green.

We conclude that is the binomial distribution.

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3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

A bucket is leaking. After 3 hours the bucket has leaked 3/4 of an ounce. How many ounces per hour is the bucket leaking?

Bogdan [553]

The bucket leaks 1/4 ounce per hour. Because the numerator is 3 and it took 3 hours, you can give 1/4 to every hour (3/4 divided by 3).

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3 years ago

I need help with this question

balu736 [363]

Answer:

x < -3

Step-by-step explanation:

................

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3 years ago

What is the solution to the system of equations? 2x – y = 7 y = 2x + 3

AnnyKZ [126]

Answer:

the answer is<u> no solutions </u>

Step-by-step explanation:

the solution is found at the point in which the two lines intersect.

in this case they do not intersect because the lines are parallel. if you rearrange 2x – y = 7 you will get y = 2x - 7. the slope is 2x

the slope of the second equation is 2x as well. when slopes are the same they are parallel and therefore never cross.

6 0

3 years ago

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