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3 years ago

What is the arc measure for WX X=10 btw

Mathematics

1 answer:

Allushta [10]3 years ago

7 0

Answer:

106°

Step-by-step explanation:

The intercepted arc is double the measure of the inscribed angle intercepting it. Each of the angles V and Y is 53°, so arc WX is 2×53° = 106°.

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In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the

earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

A = video components need repair within 1 year

B = electronic components need repair within 1 year

C = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events A, B and C are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

$=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278$

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

$=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277$

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

7 0

3 years ago

On the children's baseball field shown, the distance from the pitcher's mound to home plate is 50 feet. The distance from the pi

nikdorinn [45]

The Pythagorean theorem is with right triangles. You know that a right triangle is formed from first to the mound to home-plate. So when you draw it out and label the sides you have one missing side. the Pythagorean theorem is a^2 + b^2 = C^2. the c side is always the slanted side. In this case the c side would be from homeplate to first base. So you just have to solve now. (33)^2 + (50)^2 = c^2. So 1089 + 2500 = c^2. Add together and you get: 3589 = c^2. Lastly take the square-root of 3589 and that is the answer. 59.9. So the answer is 59.9 feet.

6 0

3 years ago

Read 2 more answers

Write numbers to make each line have the same sum

wlad13 [49]

Answer:

There is nothing here?

Step-by-step explanation:

7 0

3 years ago

What is the image point of (4,−7) after a translation right 4 units and up 5 units?

Liono4ka [1.6K]

Answer:

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

5 0

3 years ago

What is the annual interest rate is 1=$160.67, p=$2000, t=8 months

Sergeeva-Olga [200]

Please use " i " to denote "interest."

the formula for simple interest is i = p r t.

Here, i = $160.67 = $2000 (r) (8/12)

Solving for the interest rate, r = ($169.67)(12/8)/ $2000 = 0.127, or 12.7%

4 0

3 years ago