All categories

3 years ago

Can someone please help me

Mathematics

1 answer:

Ainat [17]3 years ago

5 0

Answer:

Step-by-step explanation:

If the two triangles are similar, then corresponding sides must share a constant ratio. This means that:

$\dfrac{10}{6}=\dfrac{25}{15}=\dfrac{x}{12}$

Let's use the second ratio:

$\dfrac{25}{15}=\dfrac{x}{12}$

Multiply both sides by 12:

$\dfrac{25\cdot 12}{15}=x \\\\x=20$

Hope this helps!

You might be interested in

Is the number of members of Club X greater than the number of members of Club Y ? (1) Of the members of Club X, 20 percent are a

Oliga [24]

Answer:

Yes

Step-by-step explanation:

The 20% of members of club X that are also members of club Y can be written as: P(Y/X) = 20% (that is, the probability of belonging to Y given that it belongs to X)

The 30% of members of club Y that are also members of club X can be written as: P(X/Y) = 30% (that is, the probability of belonging to X given that it belongs to Y)

The formula of conditional probability of A given B is

P(A/B) = (A∩B) / P(A)

Where (A∩B) is the probability that both events A and B occur and P(A) is the probability of A.

Based on that, we can write,

P(Y/X) = P(Y∩X) / P(X) = 20 % = 0.2

P(X/Y) = P(Y∩X) / P(Y) = 30 % = 0.3

Clearing P(Y∩X) of both equations and equalizing,

P(Y/X).P(X) = P(X/Y).P(Y)

Moving terms ,

P(X) / P(Y) = P(X/Y) / P(Y/X) = 0.3 / 0.2 = 1.5

That is, P(X) is 1.5 times P(Y), which means that the amount of members of X is greater than the members of Y.

7 0

3 years ago

Is the selection below a permutation, a combination, or neither? Explain your reasoning. Upper A group of 5 senators is chose

Natalka [10]

Answer:

Combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation

Step-by-step explanation:

The first thing to keep in mind is the difference between combination and permutation.

The main difference is that in the combinations the order does not matter, whereas in the permutations the order does matter.

Combination example:

Choose 7 people for a project.

Example of permutation:

Choose 5 men for each specific role in a soccer team.

Therefore, "group of 5 senators is chosen to be part of a special committee" is a combination, but keep in mind that if the committee had two open positions, say President and Secretary, it would be a permutation.

3 0

3 years ago

What two factors of 25 also have the sum of -10?

Andrews [41]

Answer:

-5 and -5.

Step-by-step explanation:

Two negative numbers multiply to make a positive and add to make a negative.

4 0

3 years ago

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou

valkas [14]

Answer:

$t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771$

The degrees of freedom are given by:

$df=n-1=48-1=47$

And the p value would be:

$p_v =P(t_{(47)}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

$\bar X=1.8$ represent the sample mean for the growth

$s=0.5$ represent the sample standard deviation

$n=48$ sample size

$\mu_o =2$ represent the value that we want to compare

$\alpha=0.01$ represent the significance level

t would represent the statistic

$p_v$ represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :

Null hypothesis: $\mu \geq 2$

Alternative hypothesis: $\mu < 2$

Since we don't know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771$

The degrees of freedom are given by:

$df=n-1=48-1=47$

And the p value would be:

$p_v =P(t_{(47)}$

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

6 0

4 years ago

Identify if the question is statistical or non statistical. "What is your favorite movie?"

Fittoniya [83]

Statistical because You could have been asking a lot of people but we don't know so it could be both

8 0

3 years ago

Read 2 more answers