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3 years ago

MULTIPLE CHOICE

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

-2,-2 minimum

Step-by-step explanation:

I just had a test on this

minimum because it is a minimum point it starts at the bottom

-2,-2 that is where the vertex is which is the point at the minimum

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mihalych1998 [28]

Both questions are true

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3 years ago

Read 2 more answers

Please help me answer this!!

Aleksandr [31]

The value of x from the given expression is 5/6

<h3>Expansion of equation</h3>

Given the expression to expand expressed as:

15 = 3/5(6x + 20)

We are to determine the value of x

15(5) = 3(6x + 20)

Expand

75 = 18x +60

Collect like terms

18x = 75 - 60

18x = 15

x = 15/18

x = 5/6

Hence the value of x from the given expression is 5/6

Learn more on equation here: brainly.com/question/13763238

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2 years ago

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution between 40 and

coldgirl [10]

Answer:

a) 60% probability that the distance is environment friendly.

b) The mean of the distances between the telephone poles is 52.5 meters.

c) The standard deviation of the distance between the telephone poles is 7.22 meters.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 40 and 65 meters.

This means that $a = 40, b = 65$

a) Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

This is $P(X > 50)$

We have that

$P(X \leq 50) + P(X > 50) = 1$

$P(X > 50) = 1 - P(X \leq 50)$

$P(X \leq 50) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X > 50) = 1 - P(X \leq 50) = 1 - 0.4 = 0.6$

60% probability that the distance is environment friendly.

b) Find the mean of the distances between the telephone poles

The mean of the uniform distribution is

$M = \frac{a + b}{2}$

$M = \frac{a + b}{2} = \frac{40 + 65}{2} = 52.5$

c) Find the standard deviation of the distance between the telephone poles.

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

$S = \sqrt{\frac{(65-40)^{2}}{12}} = 7.22$

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4 years ago

Please help me out with this

IRINA_888 [86]

Answer:

Step-by-step explanation:

central angle with arc of <y is 96

so circumference angle 48

7 0

3 years ago

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What is the area of the figure?<br><br><br><br> 40 ft2<br> 84 ft2<br> 96 ft2<br> can't be determined

maxonik [38]

<span>80 ft^2 Looking at the figure, you can easily determine that it's made of two separate figures, a rectangle that's 2 feet by 16 feet, and a triangle that has sides of 16 feet, 10 feet, and 10 feet. The triangle can then be divided into two right triangles with a hypotenuse of 10 feet and one leg of 8 feet, so you can use the Pythagorean theorem to calculate the other leg (which is also the height of the large triangle mentioned above). That value is sqrt(10^2 - 8^2) = sqrt(100 - 64) = sqrt(36) = 6. So we now know that the large 16,10,10 triangle has a base of 16 and a height of 6. So let's calculate the area of the entire figure. A = 2*16 + 16*6/2 A = 32 + 16*3 A = 32 + 48 A = 80 So the area of the entire figure is 80 square feet.</span>

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4 years ago