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2 years ago

Practice 7) fill in the blanks.

Mathematics

1 answer:

DiKsa [7]2 years ago

7 0

(h,k) is the vertex

b/2a is the line of symmetry

a > 0 parabola opens upward, vertex is a minimum

a < 0 parabola opens downward, vertex is a maximum

My first answer was deleted lolol

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0

2 years ago

Sampson solves the inequality as shown below.

astraxan [27]

Answer:

subtract 3 from both sides

Step-by-step explanation:

7 0

3 years ago

Rebecca planted 5 rows of tomato plants. each row has 4 plants. she planted 4 rows of cabbage. each row has 3 plants. how many t

Marizza181 [45]

Step-by-step explanation:

5 rows of 4 tomato plants= 5×4= 20 tomato plants

4 rows of 3 cabbage plants= 4×3= 12 cabbage plants

3 0

2 years ago

pipe A is a inlet pipe filling the tank at 8000l/hr and pipe B is the outlet pipe which empties the tank in 3 hours.the capacity

lawyer [7]

Well , in 3 hours , the amount of the tank that will be filled with pipe A = 8,000 x 3 = 24,000 L

Pipe could empty that 24,000 L in 3 hours.

So the capacity is around 6 - 8 L . .. . we need additional information to find out for sure

hope this helps

8 0

2 years ago

What is the value of xif 5x + 55 = 35?

Anettt [7]

Answer:

-4

Step-by-step explanation:

5 x(-4) = -20

50 - 20 = 35

8 0

2 years ago