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3 years ago

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A certain shade of green paint is made from 5 parts yellow mixed with three parts blue. If 2 cans of yellow are used, how many c

ans of blue should be used?

1 answer:

vekshin13 years ago

6 0

5 Yellow = 3 Blue
2 Yellow = 3/5 *2 = 6/5 Blue, 1.2 cans of Blue .
<u>Award brainliest if helped!</u>

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Your bathroom sink is broken and you need to have a plumber come to your house to make the repair.

ANTONII [103]

Answer:

I wish you a merry Christmas and happy holidays may the new years bring you something good!!!!!!!

Step-by-step explanation:

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2 years ago

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If 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x

zloy xaker [14]

4x+8x+12x+16x=5+10+30+40

4x+8x+12x+16x= 85

40x=85

x= 85/40

x=2.125

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2 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47

Katena32 [7]

Answer:

A) 41

Step-by-step explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

$h = \sqrt{ {p}^{2} + {b}^{2} }$

$h = \sqrt{ {(40)}^{2} + {(9)}^{2} }$

$h = \sqrt{1600 + 81} = \sqrt{1681}$

$h = 41$

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3 years ago

What is 3.30 divided by -2.00? Show work.

coldgirl [10]

Answer:

<h2>1.65</h2>

Step-by-step explanation:

$\frac{3.3}{-2}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{3.3}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\\\frac{3.3}{2}=1.65$

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3 years ago