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3 years ago

3|2-x|=-6 Find X, plz help

Mathematics

1 answer:

Svetlanka [38]3 years ago

6 0

Answer:

± x . x−3=±6 x - 3 = ± 6

Step-by-step explanation:

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(−8p ^3 +9p ^2q −5pq ^2) + (8p ^3 − pq + 5q ^2)

wariber [46]

Answer:

9p^2q-5pq^2-pq+5q^2

Step-by-step explanation:

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3 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

Based on a survey, assume that 43% of consumers are comfortable having drones deliver their purchases. Suppose that we want to

lutik1710 [3]

Answer:

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let X = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable X is, P (X) = p = 0.43.

Then q is, q = 1 - p

A sample of n = 5 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The pmf of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

Compute the value of P (X = 3) as follows:

$P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583$

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

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3 years ago

Sally invested $1,200 in an account where interest compounded quarterly. After two years, she had $1,351.79 in her account. What

Licemer1 [7]

use the formula

$A=P(1+\frac{r}{t})^{n\cdot t}$

clear the formula for the rate

$A=P(1+\frac{r}{t})^{n\cdot t}$

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1 year ago

ivan earns 8 each time he walk his neighbors dog he already walked the dog 5 times how many more times does he need to walk the

Kaylis [27]

He would probably have to walk the dog seven more times

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3 years ago