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tensa zangetsu [6.8K]
3 years ago
11

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)

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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
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