Solve 3x + 11 = k for x

Which expression is equivalent to (6x+2)+(3x+7)?

EleoNora [17]

Answer:

6x+3x=9x

2+7=9

9(x+1)

Distributive property

9x + 9

(im not completly sure this is the right answer)

8 0

3 years ago

Hi please help meeee

deff fn [24]

Answer:

Answers are below

Step-by-step explanation:

1. List all possible outcomes

HHH HHT HTH HTT TTT THH THT TTH

2. The probability of tossing 2 tails and 1 head is 3/8.

3. The probability of getting exactly 1 tail is 3/8. The probability of tossing at least 2 heads is 4/8 or 1/2. There is a greater chance of tossing at least 2 heads than tossing exactly 1 tail.

7 0

3 years ago

How would you find the area or perimeter of this shape?

Fittoniya [83]

The perimeter of a given shape implies the sum of all its sides. While the area of a given shape is the total value of space it would cover on a 2-dimensional plane.

The perimeter of the shape is 104 cm.

The area of the shape is 640 $cm^{2}$ .

The perimeter of a given shape implies the sum of all its length of sides., such that the value of each individual side is summed to a total value.

The area of a given shape is the total value of space it would cover on a 2-dimensional plane. The area of shapes depends on the type of shape.

In the given question, the given shape has 12 sides. Some of these sides can sum up to a given length as shown in the diagram.

So that;

perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8

= 104 cm

Thus, the perimeter of the shape is 104 cm

ii. The area of the shape = length x width

= 32 x 20

= 640 $cm^{2}$

Therefore, the area of the given shape is 640 $cm^{2}$ .

for more clarifications on the perimeter and area of a plane shape, visit: brainly.com/question/22909518

#SPJ 1

4 0

2 years ago

A cell phone company charges a monthly fee of $35 and an addition $0.20 per minute used.

kiruha [24]

Answer:

35 + .2m

Step-by-step explanation:

The monthly fee of $35 is a base pay, and you don't change anything with it.

The "m" stands for minute, and since it costs $.20 for each minute, multiply the two together to get that part of the equation.

4 0

3 years ago

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa

11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

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

where, n = number of trials (samples) taken = 7 parts

r = number of success = fewer than 2

p = probability of success which in our question is % of defective

parts produced by one of the machine, i.e; 19%

LET X = Number of parts that are defective

So, it means X ~ Binom(n = 7, p = 0.19)

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

= $\binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}$

= $1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}$

= 0.604

Therefore, the probability that fewer than 2 of these parts are defective is 0.604.

8 0

3 years ago