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3 years ago

Explain how to find the axis of symmetry for each function h(x) The graph goes under h(x)

Mathematics

1 answer:

AleksAgata [21]3 years ago

3 0

Find the minimum point on the parabola, and take the x component of the coordinate. Then, put that number into this equation: x = (whatever the number was) so in this case the axis (or line) of symmetry is x = 1

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the perimeter of the square is 15 1/7 meters.Find the length of each side, and has a picture of a square

ElenaW [278]

Thats all the question?

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4 years ago

assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 10 adult smartphones use

tensa zangetsu [6.8K]

Solution: The given random experiment follows Binomial distribution with $n=10,p=0.44$

Let $X$ be the number of adults who use their smartphones in meetings or classes.

Therefore, we have to find:

$P(X$

We know the binomial model is:

$P(X=x)=\binom{n}{x} p^{x} (1-p)^{n-x}$

$\therefore P(X$

$=\binom{10}{0}0.44^{0}(1-0.44)^{12-0}+\binom{10}{1}0.44^{1}(1-0.44)^{10-1}+\binom{10}{2}0.44^{2}(1-0.44)^{10-2}$

$=1 \times 1 \times 0.0030 + 10 \times 0.44 \times 0.0054 + 45 \times 0.1936 \times 0.009672$

$=0.0030+0.0238+0.0843$

$=0.1111$

Therefore, the probability that fewer than 3 of them is 0.1111

7 0

3 years ago

A box of small crackers holds 4 equal servings. If there are 124 crackers in the box, how many crackers are in each serving?

kotykmax [81]

For this equation, we can simply divide the box's total (124) by 4 servings. 124/4 = 31. So, there is 31 crackers per serving.

7 0

3 years ago

Read 2 more answers

A truck can at most be filled with 20 ton. If there are currently 14 ton goods there already, write an inequality representing t

Rom4ik [11]

Answer:

$x + 14 \leq 20$ , x = 6 ton

Step-by-step explanation:

The truck can be filled with a total of 20 ton.

There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

$x+14\leq 20$

Solving it, we find

$x\leq 6$

which means that the most amount of goods that could be added to the truck is 6 tons.

4 0

3 years ago

ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?

s2008m [1.1K]

Start with an equation summing all the angles in this triangle:

180 = <M + <N + <P

we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So

180 = 2<M + <N

180 = 2(3x+1) + x-11

180 = 7x - 9

x = 27

<P = 3*27+1 = 82 degrees

4 0

3 years ago