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2 years ago

What is the answer to 3(x + 3) - 2(x + 6

Mathematics

1 answer:

oee [108]2 years ago

4 0

Answer:

-3 + x or x -3

Step-by-step explanation:

Start with the brackets one by one

3(x + 3) Multiply the 3 outside the bracket to everything inside

3 × x = 3x

3 x 3 = 9

3x + 9 -2(x + 6)

-2(x + 6) = -2x - 12

3x + 9 -2x - 12 = x -3

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Jack, Jill, and Bill each carried a 48 ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bu

kaheart [24]

Altogether they spilled about 70 ounces

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3 years ago

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Suppose the inside bottom of a box is painted with three colors: one-third of the bottom area is blue, one-sixth is red, and one

miss Akunina [59]

Answer:

The probability that the pebble will NOT land on color blue is 0.67.

Step-by-step explanation:

We attribute the box area as the probability of the events.

So the probability of landing in the Red Area is 1/6, the probability of landing in the Blue Area is 1/3 and the probability of landing in the Yellow Area is 1/2.

P(Red)= $\frac{1}{6}$

P(Yellow)= $\frac{1}{2}$

P(Blue)= $\frac{1}{3}$

The probability of landing in NOT Blue area is given by:

P(Not Blue)=1-P(Blue)= $1-\frac{1}{3}=\frac{2}{3} =0.67$

8 0

3 years ago

An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an

igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

$P(e_1)=0.90*0.67=0.603$

2) Left knee unsuccessful and right knee successful (X=1).

$P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067$

3) Right knee unsuccessful and left knee successful (X=1).

$P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297$

4) Both surgeries are unsuccessful (X=0).

$P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033$

Then, the mean can be calculated as the expected value:

$M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57$

The variance can be calculated as:

$V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111$

3 0

3 years ago

the area of a mirror is 225 square inches and its width is 13 3/4 inches. Will the mirror fit in a space that is 15 inches by 16

Tems11 [23]

A = 225 in^2
W = 13.75

15x16 = 240 in^2

240/13.75 = 17.45 in

the mirror would not fit in a space that is 15 by 16 inches since its approximately 13 by 17 inches

6 0

3 years ago

Can someone help me solve this I’m so confused

stepan [7]

Answer:

C = 314 meters

Step-by-step explanation:

When we go around a circle, we are trying to find the circumference

The circumference is

C= pi *d

C = pi *100

Let pi = 3.14

C = 3.14*100

C = 314 meters

4 0

3 years ago