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2 years ago

If I have right angle triangle with a hypotenuse of 12meters and an angle of 60degrees what is the length

Mathematics

1 answer:

ad-work [718]2 years ago

3 0

There are 2 basic trangles used in SAT,
45-45-90
30-60-90

if you look in the attachment you will know the relationship between each so

with a 30-60-90 triangle which you have
hypotonuse=2x
hypotonuse=12
2x=12
divide by 2
x=6

I'm not sure about the length, but I'm assuming you mean the longer side

the measure of each leg is 6 and 6 times√3

the lonnger one is 6√3
the answer is 6√3 meters

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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

» What is the combined length of all the buttons longer than 1 inch

GrogVix [38]

Answer:

how many buttons there are

Step-by-step explanation:

yo have to have a certain number of buttons

4 0

2 years ago

A class of 40 students elected a class president. There were 12 votes for Candidate A, and 18 votes for Candidate B.

Helen [10]

Hey there, Bulgogi!

The correct answer will be the first one since [I'm assuming] you know that to calculate the percentage of something, it's the amount of that something divided by the total amount but since only 30 students voted [12+18] multiplied by 100.

So, we are calculating the percentage on votes and 12 students voted for Candidate A so our Numerator will be 12 and our Denominator will be the total amount of student who voted, so 30 [or 12+18]

Once put into a fraction, we will get $\frac{12}{12+18}$ which would be equals to 2/5 or 0.4. Now we multiply by 100 and we get a total of 40% for Candidate A.

Thank you for using Brainly.
See you soon!

4 0

3 years ago

Given:

djverab [1.8K]

Answer:

The CONVERSE of p → q is q → p will be written as

i.e If 3x -4 = 20, then 2x = 16.

Step-by-step explanation:

Given:

p: 2x = 16

(one statement)

q: 3x – 4 = 20

(another statement)

The given statement is p → q can be written as

i.e IF 2x = 16, then 3x – 4 = 20

The CONVERSE of p → q is q → p will be written as

i.e If 3x -4 = 20, then 2x = 16.

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2 years ago

What is an expression for vector x involving vector r, vector s, and vector t?

navik [9.2K]

X = -3r + s - t ....

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3 years ago