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Stella [2.4K]
3 years ago
8

Solve |x| > 3 a. {-3, 3} b. {x|x < -3 ∪ x > 3} c. {x|x < -3 ∩ x > 3}

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

b

Step-by-step explanation:

as modulus lie outside the number given

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In the school band, there is 1 boy for every 5 girls. There is a total of 12 boys. How many girls are in the band?
Sophie [7]

Answer:

60

Step-by-step explanation:

5 times 12

4 0
3 years ago
Find f such that the given conditions are satisfiedf’(x)=x-4, f(2)=-1
kicyunya [14]

Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

f(x)=\frac{x^2}{2}-4x+5

Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

f(x)=\frac{x^{2}}{2}-4x+5

Final answer: Option D

6 0
1 year ago
Look at problem #1 with slope 6. Write an equation to represent the graph.​
icang [17]
Y=x+6 that’s correct
7 0
2 years ago
Read 2 more answers
A normal population has mean =μ7 and standard deviation =σ5. (a) What proportion of the population is less than 18?
marshall27 [118]

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

4 0
2 years ago
What is 3/8 + 5/12???
ra1l [238]

the answer is 19/24

have a great day!

4 0
2 years ago
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