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2 years ago

5. Find mTOS in the figure below.

Mathematics

1 answer:

notka56 [123]2 years ago

4 0

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

$128+52=180?\\180=180$

Therefore, degrees.

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In the equation 9^2 x 27^3 = 3^x, what is the value of x? <br> Show your work on scratchpaper

IceJOKER [234]

Answer:

x=13

Step-by-step explanation:

9^2 * 27^3 = 3^x

We need to get each term with a base of 3

9^2 = (3^2) ^2

We know that a^b^c = a^(b*c)

(3^2) ^2 = 3^(2+2) = 3^4

27^3 = (3^3) ^3 = 3^(3*3) = 3^9

Replacing these in the original equation

3^4 * 3^9 = 3^x

We know that a^b *a^c = a^(b+c)

3^4 * 3^9 =3^(4+9) = 3^13 = 3^x

The bases are the same, so the exponents must be the same

x=13

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3 years ago

A study conducted by the Center for Disease Control that asked 15,000 students about

BaLLatris [955]

Answer:

The sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The study was conducted using the data from 15,000 students.

Since the sample size is so large, i.e. <em>n</em> = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.

So, the sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

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2 years ago

Yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann

Sati [7]

Y = T+3 (i)
T = H+2 (ii)
Y = 2*H (iiii)

T = H+2 therefore H = T-2

Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4

Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7

Then from (i) Y=T+3 = 7+3 =10
Y=10

And from (iii) Y=2*H
If Y = 10, then H = 5

4 0

2 years ago

4x-(12 divided 3) +2x=20

Savatey [412]

Answer:

Step-by-step explanation:

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2 years ago

Equivalent expression for 7(2x - 3y + 6) by modeling and by using the distributive property.

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14x-21y+42 should be your answer. hope it helps :)

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2 years ago