All categories

3 years ago

Please answer it now in two minutes

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

$2\sqrt{33}$ .

Step-by-step explanation:

This triangle is a 30-60-90 triangle. That means that the hypotenuse is double the length of the smaller side.

Since the smaller side measures $\sqrt{33}$ , the hypotenuse is $2\sqrt{33}$ .

Hope this helps!

You might be interested in

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

3 years ago

Read 2 more answers

For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the pr

Monica [59]

Answer: Probability of randomly selecting a member who likes to cook or likes to sew = 58%

Step-by-step explanation:

Since we have given that

Probability of a randomly selecting a member who likes to cook=P(C) = 42%

Probability of a randomly selecting a member who likes to sew =P(S)= 23%

Probability of a randomly selecting a member who likes to both cook and sew

$P(C\cap S)=7\%$

As we know the "Probability rules " :

$P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58$

So, Probability of randomly selecting a member who likes to cook or likes to sew = 58%

5 0

3 years ago

Gordon types 2,772 words in 42 minutes. Find the unit rate.

zubka84 [21]

Answer:

66 words in 1 minute

I hope this helps!

8 0

3 years ago

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Ei

Ket [755]

He will have 32.00 left from paying back rita.

3 0

3 years ago

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

skad [1K]

Answer:

Step-by-step explanation:

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.

8 0

2 years ago