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3 years ago

What are the coordinates of the midpoint between A(−3, −5) and B(2, 7) ?

1 answer:

4 0

Use X1+X2 / 2, Y1+Y2 / 2
-3 + 2 / 2 , -5 + 7 / 2
-1 / 2 , 2/2
(-1/2, 1)

I think this is correct... I know you use the top formula

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The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

Hatshy [7]

Answer:

0.0158 = 1.58% probability that all of them are under 18.

Step-by-step explanation:

Probability of independent events:

If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:

$P(A \cap B \cap C) = P(A)P(B)P(C)$

The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.

This means that $P(A) = 0.235, P(B) = 0.258, P(C) = 0.26$

If one person is selected from each city, what is the probability that all of them are under 18?

Since the three people are independent:

$P(A \cap B \cap C) = 0.235*0.258*0.26 = 0.0158$

0.0158 = 1.58% probability that all of them are under 18.

8 0

3 years ago

Kenneth bought a new roll of tape. There were 59.6 yards of tape on the roll. Then Kenneth used 4 yards of the tape to make a co

barxatty [35]

Answer:

55.6 yards

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A hiking trail rises 9 feet for every horizontal change of 150 feet. What is the slope of the hiking trail?

Kipish [7]

The slope of the trail would be 18. hope it helps

3 0

3 years ago

Read 2 more answers

Help please on this

jenyasd209 [6]

Answer:

there is not enough information because x and 55 are parrallel, not congruent.

Step-by-step explanation:

3 0

3 years ago

The equation for the ellipse given is 4x^2+9y^2-16x+18y-11

natita [175]

Answer:

a. a = 3, b = 2

b. The coordinate of the center is (2, -1)

c. The eccentricity of the ellipse is √5/3

d. Please see attached graph of the ellipse created with MS Excel

Step-by-step explanation:

7. a. The given equation of the ellipse is presented as follows;

4·x² + 9·y² - 16·x + 18·y - 11

The general equation of an ellipse

$\dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1$

We can write;

4·x² - 16·x + 9·y² + 18·y - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) - 25 - 11

4·(x² - 4·x + 4) + 9·(y² + 2·y + 1) = 25 + 11 = 36

4·(x - 2)² + 9·(y + 1)² = 36

$\dfrac{4\cdot (x - 2)^2}{36} + \dfrac{9 \cdot (y + 1)^2}{36} = \dfrac{36}{36}$

$\therefore \dfrac{ (x - 2)^2}{9} + \dfrac{ (y + 1)^2}{4} = \dfrac{ (x - 2)^2}{3^2} + \dfrac{ (y + 1)^2}{2^2} = 1$

By comparison, a = 3, b = 2, h = 2, k = -1

b. The coordinate of the center, (h, k) = (2, -1)

c. The eccentricity of the ellipse = c/a

c² = a² - b²

∴ c² = 3² - 2² = 5

c = √5

Eccentricity = √5/3

d. Please find attached the graph of the ellipse created with MS Excel

8 0

3 years ago