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2 years ago

6

The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 10 unit

s, and the right cylinder has a height of 7 units. Which conclusion can be made from the given information?

1 answer:

kozerog [31]2 years ago

3 0

Answer:

Step-by-step explanation:

that the triangular prism has more volume

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The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

QveST [7]

Answer:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Step-by-step explanation:

5 0

2 years ago

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

Emily an her dad share the cost of the meal in the ratio 2:3 emily’s Dad pays £52.20 what is the total cost of the meal

rodikova [14]

£87.00

Emily's dad pays 3 parts of the meal

Divide £52.20 by 3 to find one part of the ratio

$\frac{52.20}{3}$ = £17.40 ← 1 part of the ratio

2 parts = 2 × £17.40 = £34.80 ← Emily's share

total cost = £52.20 + £34.80 = £87.00

6 0

2 years ago

Read 2 more answers

You are having a pizza-making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (includi

Tcecarenko [31]

Answer:

78 ounces of dough

52 ounces of sauce

12 guests are coming (not including you)

Step-by-step explanation:

13x6=78

13x4=52

78+52=130 ounces

6 0

1 year ago

Gina is buying bags of apples at the grocery store. Each bag of apples has five apples in it. Which equation shows the relations

Nadya [2.5K]

Answer:

y=5x

Step-by-step explanation:

Given no of bags is x

No of apples in each bag is 5

Thus no of apples in x bags can be obtained by multiplying no of bags(x in this case) with No of apples in each bag (5 in this case).

Total no of apples in x bag = 5*x = 5x

As y represent relationship between number of apples and bag. 5x will be equal to y.

it can be represented as y = 5x

Thus equation A y=5x shows the relationship between the number of apples, y, and the number of bags, x

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2 years ago