All categories

3 years ago

Which number line shows the solution of -3x + 6 > 12

Mathematics

1 answer:

olga_2 [115]3 years ago

6 0

Answer:

x < -2

Step-by-step explanation:

subtract 6 from each side

-3x > 6

divide both sides by -3

x < -2

(with inequalities you must flip the sign if you divide by a negative number)

You might be interested in

25% of all who enters a race do not complete. 30 haveentered.

nikklg [1K]

Answer:

The probability that exactly 5 are unable to complete the race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the race?

So, We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

p is the probability of success i.e. 25% = 0.25

q is the probability of failure = 1- p = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the race

n = 30

r = 5

$P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}$

$P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}$

$P(X=5) =0.1047$

Hence the probability that exactly 5 are unable to complete the race is 0.1047

6 0

3 years ago

According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qualit

antiseptic1488 [7]

Answer:

$\=x=82$

Step-by-step explanation:

From the question we are told that:

Data

$\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}$

Generally the equation for Point estimate $\=x$ is mathematically given by

$\=x=\frac{\sum_x}{n}$

$\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}$

$\=x=\frac{984}{12}$

$\=x=82$

4 0

2 years ago

Explain why 1/2 of 2 equals one whole

Darya [45]

1/2 of 2 means you're taking a half of 2. Which 1.

8 0

3 years ago

What is the scientific notation of 1,980,000,000

cupoosta [38]

1.98x10^9. move the decimal until you have one number in front of it. then keep the numbers that are not 0 after it. then count how many places you moved the decimal point and that's your power.

6 0

3 years ago

a gardener is designing a circular garden. On the blueprint, the garden has a diameter of 16 centimeters. The blueprint has a sc

Ede4ka [16]

Answer:

The actual area of the garden is 1256 square feet.

Step-by-step explanation:

Given:

A gardener is designing a circular garden.

On the blueprint, the garden has a diameter of 16 centimeters.

The blueprint has a scale of two centimeters to five feet.

Now, to find the actual area of the garden.

Let the actual diameter of the garden be $x\ feet.$

And the diameter of the garden on blueprint = $16\ centimeters.$

As, given:

The blueprint has a scale of two centimeters to five feet.

2 centimeters is equivalent to 5 feet.

Thus, 16 centimeters is equivalent to $x\ feet.$

Now, to get the actual diameter by using cross multiplication method:

$\frac{2}{5} =\frac{16}{x}$

By cross multiplying we get:

$2x=80$

Dividing both sides by 2 we get:

$x=40\ feet.$

<em>Thus, the actual diameter of the garden is 40 feet.</em>

Now, to get the area of the garden we get the radius and then put the formula of area:

Radius = $\frac{Diameter}{2}$

Radius(r)= $\frac{40}{2}=20\ feet.$

$Area =\pi r^2.$

$Area=3.14\times 20^2$

$Area=3.14\times 400$

$Area=1256\ square\ feet.$

Therefore, the actual area of the garden is 1256 square feet.

3 0

3 years ago