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3 years ago

Does anyone know the answer to this? Needed asap

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

Answer:

t=r/d; t=0.2

Step-by-step explanation:

If d=r/t, then multiple both sides by t, to get td=r, then divide both sides by d, to get t=r/d. So t=8/40 t=0.2

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Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4

stira [4]

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

8 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

Lisa [10]

Answer:

0.0064

0.00032

Step-by-step explanation:

Given the details:

P(X > 3), n = 5, p = 0.2

The binomial distribution is related using the formula:

P(x = x) = nCx * p^x * q^(n-x)

q = 1 - p = 1 - 0.2 = 0.8

P(X > 3) = p(x = 4) + p(x = 5)

P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064

P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032

3 0

3 years ago

Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Ipatiy [6.2K]

Answer:

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

If you prefer it a little more simplified:

$\sum_{n=1}^{16}(5x-14)$

Step-by-step explanation:

First my favorite part, finding a pattern between the consecutive terms.

This is an arithmetic series because the terms are going up by 5 each time.

So arithmetic sequence, think linear equations:

x | y

1 -9

2 -4

3 1

4 6

..................

n 66

We are going to have to find that n but will will eventually...

The equation for a line in point slope form is $y-y_1=m(x_x_1)$ where $(x_1,y_1)$ is a point on the line and m is the slope.

We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).

I'm going to use the first point (1,-9).

So the equation in point slope form is $y-(-9)=5(x-1)$

Subtract 9 on both sides:

$y=5(x-1)-9$

Now we need to know how many terms we are adding so what is x if y=66.

$66=5(x-1)-9$

Add 9 on both sides:

$75=5(x-1)$

Divide both sides by 5:

$15=x-1$

Add 1 on both sides:

$16=x$

We have 16 terms in this sequence where the 16th term is 66.

Summation notation is:

$\sum_{n=1}^{16}[5(x-1)-9]$

You could simplify the 5(x-1)-9.

Distribute: 5x-5-9

Add like terms: 5x-14

3 0

3 years ago

Read 2 more answers

Plz help! Will give brainlest

AnnZ [28]

Answer:

99 Sorry if im wrong

Step-by-step explanation:

8 0

2 years ago

Need help ASAP questions below

BARSIC [14]

Can you rotate the picture or take another one? This one is really hard to read

3 0

3 years ago