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3 years ago

Solve |3x + 3|= 27

Mathematics

1 answer:

Alenkasestr [34]3 years ago

4 0

Answer:

d.x=-8 and x=-10

Step-by-step explanation:

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There are 27 students in Mr. White's homeroom.

solong [7]

Answer:

0.3935 to 4 places of decimals.

Step-by-step explanation:

Use binomial probability tables or an online probability calculator.

Here Prob(a singles success) = 0.08333 ( that is 1/12)

Number of successes = 3 and number of trials = 27.

You want the probability of the variable X being >= x.

6 0

3 years ago

What does angle α equal if β=α+30° ?

Semenov [28]

Angle α and β are supplementary angles and when added together equal 180.

Set up an equation:

α + β = 180

β = α +30

Replace β in the first equation, to get:

α + α +30 = 180

Simplify:

2α +30 = 180

Subtract 30 from both sides:

2α = 150

Divide both sides by 2:

α = 150 /2

α = 75 degrees.

8 0

3 years ago

What common side does ΔABC share with ΔADC? BC AD BD AC

Zarrin [17]

I think it’s AC, but I may be wrong

6 0

2 years ago

Read 2 more answers

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that $n = 17$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling less than 3 properties in one week.

This is

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0$

$P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001$

$P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011$

0.0011 = 0.11% probability of selling less than 3 properties in one week.

5 0

3 years ago

Use the distributive property to solve this equation: 4x/5 - x = x/10 - 9/2

AlladinOne [14]

X=15

Collect like terms
8x-10x=x-45

Move the variable to the left
-2x=x-45

Collect like terms again
-2x-x=-45

Divide both sides by -3
-3x=-45

Answer is x= 15

6 0

3 years ago