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e-lub [12.9K]
3 years ago
6

Which is equivalent to this expression? 2/150 + 3/75

Mathematics
1 answer:
Lesechka [4]3 years ago
7 0

Answer:

Step-by-step explanation:

\frac{2}{150}    First reduce this to lowest term

\frac{2}{150}=\frac{1}{75}\\\\\frac{2}{150}+\frac{3}{75}=\frac{1}{75}+\frac{3}{75}\\\\=\frac{1+3}{75}=\frac{4}{75}\\

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My Mustache is 20% longer than last week. Last week mustache was 140 cm long. How much did mustache grow this week?
lana66690 [7]

Answer:

28

Step-by-step explanation:

140 × .20 = 28

7 0
2 years ago
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What is the slope of (0,4) and (-4,-3)
prohojiy [21]

Step-by-step explanation:

Given points

( x1 , y1 ) = ( 0, 4)

And

( x2 , y2 ) = ( - 4 , - 3 )

Now

Slope(m)

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= ( - 3 - 4) / ( -4 - 0)

= - 7 / - 4

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Tuto
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Answer:

8r+8pg-pq

Step-by-step explanation:

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Hope this helps!

8 0
3 years ago
Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.
dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\

The \frac{n!}{x!(n-x)!} portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>
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1 year ago
Consider the given function.
Natali5045456 [20]

Answer:

D)

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f(x) = x^2 -14x -72

0=x^2 - 14x-72

0=x^2 - 18x+4x-72

0=x(x-18)+4(x-18)

0=(x-18)(x+4)

x-18=0 or x+4=0

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asis of symmetry: x=(x1+x2)/2

x=(18+(-4))/2

x=14/2

x=7

3 0
3 years ago
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