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3 years ago

5

In a carton of 12 eggs, 2 are rotten. if we pick 4 eggs to make an omelet, what is the probability that we do not get a rotten e

gg?

1 answer:

xxMikexx [17]3 years ago

8 0

IN THE GIVEN CARTON 10 EGGS ARE OKAY AND 2 ROTTEN .WE ARE REQUIRED TO SELECT 4 OKAY EGGS.THIS CAN BE DONE IN 10C4 WAYS=210 WAYS

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Find the first four terms of a sequence using the recursive definition. Please help

Ymorist [56]

Answer:

2, 5, 9, 19

Step-by-step explanation:

Using the recursive formula f(n) = 2f(n - 2) + f(n - 1)

with f(1) = 2 and f(2) = 5

f(3) = 2f(3 - 2) + f(3 - 1)

= 2f(1) + f(2) = (2 × 2) + 5 = 4 + 5 = 9

f(4) = 2f(4 - 2) + f(4 - 1)

= 2f(2) + f(3) = (2 × 5) + 9 = 10 + 9 = 19

7 0

4 years ago

A cylinder has a radius of 6 inches and is 15 inches tall. what is the volume of the cylinder? express the answer in terms of pi

Vikki [24]

The volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

<h3>How to calculate the volume of a cylinder?</h3>

The formula for calculating the volume of cylinder is expressed as:

V = πr²h

where

r is the radius

h isthe height

Given the following parameters

h = 15in

r = 6in

substitute

V = 6^2 * 15π
V = 540 π cubic inches

Hence the volume of a cylinder that has a radius of 6 inches and is 15 inches tall is 540 π cubic inches

Learn more on volume of a cylinder here: brainly.com/question/9554871

6 0

2 years ago

Find the slope of the line passing through the points (-6,7) and (-8,5)

kykrilka [37]

Answer:

Slope = 1

Step-by-step explanation:

4 0

2 years ago

In college basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins

denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, we have that the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.45, n = 100$

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b)This is Z when X = 0.25.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.25 – 0.45}{0.0497}$

$Z = -4.02$

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0

3 years ago

Write down the bearing of: (a) Henly from Dinder (b) Dinder from Weare (c) Weare from Dinder (d) Weare from Henly (e) Dinder fro

Neko [114]

The bearing of the individuals from each other are as indicated below;

S45°E
N25°E
S65°E
S15°E
N45°E
N75°E

<h3>What is bearing of Henley from Dinder?</h3>

It follows from the task content that the bearing of the individuals from each other are expected to be determined.

a) For Henley from Dinder; it follows from observation that Henley is; S45°E of Dinder's position.

b) For Dinder from Weare; it follows from observation that Dinder is; N25°E of Weare's position.

c) For Weare from Dinder; it follows from observation that Weare is; S65°E of Dinder's position.

d) For Weare from Henly; it follows from observation that Weare is; S15°E of Dinder's position.

e) For Dinder from Henly; it follows from observation that Dinder is; N45°E of Henly's position.

f) For Henly from Weare; it follows from observation that Henly is; N75°E of Weare's position.

Read more on bearing;

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8 0

2 years ago