Mathematics, 20.08.2020 16:01 deadea46

1. The number of pizzas consumed per month by university students is normally distributed with a mean of 12 and a standard deviation of 4. What is the probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month?

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Answer from: makiahlynn3677

0.00621

Step-by-step explanation:

To solve for this question: we would be making use of the z score formula.

z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation

Step 1

Find the Standard Error

From the above question, we are given number of samples, hence, the standard deviation we would use for our z score is Standard error.

Standard error = Standard deviation/√n

Where n = number of samples = 25

Standard deviation = 4

Standard error = 4/√25

= 4/5

= 0.8

Step 2

Calculate the z score

Since we are given number of samples in the question,

z score = z = (x - μ)/σ

where

x is the raw score = 14

μ is the population mean = 12

σ is the standard error = 0.8

z score = 14 - 12/0.8

z score = 2.5

Step 3

We find the Probability.

The probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is calculated as:

We find the Probability of the Z score 2.5 using a Z table.

P(z = 2.5) = P(x ≤ 14) = 0.99379

P(x > 14) = 1 - P(x<14)

= 1 - 0.99379

= 0.0062097

Approximately ≈ 0.00621

Therefore, the probability that a randomly selected sample of 25 students will consume on average more than 14 pizzas per month is

0.00621

Answer from: Quest

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

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