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2 years ago

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Astrid wants to buy pumpkins and watermelons. She wants to buy more than 101010 fruits, and she has a budget of \$117$117dollar

sign, 117. P+W > 10P+W>10P, plus, W, is greater than, 10 represents the number of pumpkins PPP and watermelons WWW Astrid should buy to get more than 101010 fruits. 5.5P+3.5W \leq 1175.5P+3.5W≤1175, point, 5, P, plus, 3, point, 5, W, is less than or equal to, 117 represents the number of pumpkins and watermelons she can buy on her budget of \$117$117dollar sign, 117. Does Astrid meet both of her expectations by buying 777 pumpkins and 333 watermelons?

1 answer:

julsineya [31]2 years ago

3 0

Answer:

D 5 pumpkins, 13 watermelons

Step-by-step explanation:

please give brainiest

0 pumpkins, 0 watermelons

7 pumpkins, 3 watermelons

5 pumpkins, 13 watermelons

5 pumpkins, 5 watermelons

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Market-share-analysis company Net Applications monitors and reports on Internet browser usage. According to Net Applications, in

ASHA 777 [7]

Answer:

a) There is a 2.43% probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.

b) There is an 80.50% probability that at least 3 of the 20 Internet browsers users use Chrome as their Internet browser.

c) The expected number of Chrome users is 4.074.

d) The variance for the number of Chrome users is 3.2441.

The standard deviation for the number of Chrome users is 1.8011.

Step-by-step explanation:

For each Internet browser user, there are only two possible outcomes. Either they use Chrome, or they do not. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

Google Chrome has a 20.37% share of the browser market. This means that $p = 0.2037$

20 Internet users are sampled, so $n = 20$ .

a.Compute the probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.

This is P(X = 8).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{20,8}.(0.2037)^{8}.(0.7963)^{12} = 0.0243$

There is a 2.43% probability that exactly 8 of the 20 Internet browser users use Chrome as their Internet browser.

b.Compute the probability that at least 3 of the 20 Internet browsers users use Chrome as their Internet browser.

Either there are less than 3 Chrome users, or there are three or more. The sum of the probabilities of these events is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.2037)^{0}.(0.7963)^{20} = 0.0105$

$P(X = 1) = C_{20,1}.(0.2037)^{1}.(0.7963)^{19} = 0.0538$

$P(X = 2) = C_{20,2}.(0.2037)^{2}.(0.7963)^{18} = 0.1307$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0105 + 0.0538 + 0.1307 = 0.1950$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1950 = 0.8050$

There is an 80.50% probability that at least 3 of the 20 Internet browsers users use Chrome as their Internet browser.

c.For the sample of 20 Internet browser users, compute the expected number of Chrome users

We have that, for a binomial experiment:

$E(X) = np$

So

$E(X) = 20*0.2037 = 4.074$

The expected number of Chrome users is 4.074.

d.For the sample of 20 Internet browser users, compute the variance and standard deviation for the number of Chrome users.

We have that, for a binomial experiment, the variance is

$Var(X) = np(1-p)$

So

$Var(X) = 20*0.2037*(0.7963) = 3.2441$

The variance for the number of Chrome users is 3.2441.

The standard deviation is the square root of the variance. So

$\sqrt{Var(X)} = \sqrt{3.2441} = 1.8011$

The standard deviation for the number of Chrome users is 1.8011.

6 0

2 years ago

What is the lateral area of a cylinder which has an element of 8 inches and a right section with a perimeter of 24 inches?

Greeley [361]

3 is the answer because 24/3=8

7 0

1 year ago

3. 24% of weight of an explosive mixture is saltpetre. Find the weight of a sample in which the other ingredients

Art [367]

Answer:

76% of X= 9.12. X= 12 gram. Therefore weight of the sample is 12 gram.

Step-by-step explanation:

i hope it's help you

5 0

1 year ago

1) Mrs. Merson is selling her car. Her research shows that the car has a current value of $5,500,

SVEN [57.7K]

The right answer is Option B: $\frac{5500}{p}=\frac{55}{100}$

Step-by-step explanation:

Given,

Current value of car = $5500

This is 55% of the original value.

Let,

p be the original price of car.

Therefore,

55% of p = 5500

$\frac{55}{100}p=5500$

Dividing both sides by p

$\frac{55}{100}*\frac{p}{p}=\frac{5500}{p}\\\frac{55}{100}=\frac{5500}{p}$

The equation $\frac{5500}{p}=\frac{55}{100}$ can be used to find the price Mrs. Merson paid for the car.

The right answer is Option B: $\frac{5500}{p}=\frac{55}{100}$

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

0 0

2 years ago

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over

notka56 [123]

Answer:

1. Alexa traveled at a faster rate because the slope of her line is $\frac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

Step-by-step explanation:

We know that,

Slope of $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Mia records the distance traveled over the time by the table.

Taking the points (10,5) and (18,9), the slope is given by,

Mia's slope = $\frac{9-5}{18-10}$

i.e. Mia's slope = $\frac{4}{8}$

i.e. Mia's slope = $\frac{1}{2}$

Alexa records the distance traveled over the time by the graph.

Taking the points (4,3) and (8,6), the slope is given by,

Alexa's slope = $\frac{6-3}{8-4}$

i.e. Alexa's slope = $\frac{3}{4}$

As, Alexa's slope = $\frac{3}{4}$ > $\frac{1}{2}$ = Mia's slope.

So, the correct option is,

1. Alexa traveled at a faster rate because the slope of her line is $\frac{3}{4}$ , which is greater than the slope of the line described by the data in Mia’s table.

7 0

1 year ago

Read 2 more answers