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3 years ago

Please help me (both images are supposed to be together.)

Mathematics

1 answer:

Jobisdone [24]3 years ago

8 0

Answer:

Proportionality,

Step-by-step explanation:

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In Algebra you learned that Difference of Perfect Squares is x^2 - 25 = (x+5)(x-5)

nika2105 [10]

Answer:

(x+5i)(x-5i)

Step-by-step explanation:

We use imaginary numbers to solve that. since i = sqare root of -1 so i * i = -1.

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3 years ago

Evaluate the expression 4y - 11 when y = 14

vampirchik [111]

Answer:

The answer is 45 because 4 times 14 is 56 if you subtract 11 you get 45

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2 years ago

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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

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3 years ago

About 15% of the population of a large country is allergic to pollenallergic to pollen. if two people are randomly selected, w

zubka84 [21]

P(allergic) = 0.15

P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)

Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability

Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555

P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444

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4 years ago

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