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4 years ago

15

How much blue and yellow paint should a store mix to make 98 gallons of glowing green paint

1 answer:

zaharov [31]4 years ago

3 0

49 each! 49+49= 98

Hoped this helps! Mark as branliest if possible!

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What are these slopes?

Nookie1986 [14]

Answer:

4. $\frac{-5}{1}$ or -5 (It's a negative slope)

5. 0 (It's a horizontal line)

6. $\frac{2}{3}$

Formula: $\frac{rise}{run}$

4 0

2 years ago

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

3 years ago

The peak at transfer camera is 10 8.7 he travels 7.5 metre in car and took a break how much more he has to travel to reach the t

MAVERICK [17]

The question is not well formatted

Let's assume that the peak value Given is 108.7m

However, If that is not the actual value, then you can just follow the steps with the actual value to obtain your answer.

Answer:

101.2 meters

Step-by-step explanation:

Taking the peak Given as 108.7 m

The distance traveled by car = 7. 5 meters

The distance left to reach the top of the mountain :

108.7 meters - 7.5 meters

= 101.2 meters

6 0

3 years ago

Calculate the mass of NaOH in 0.2 moles of NaOH

masya89 [10]

Answer:

0.2M i.e

Step-by-step explanation:

6 0

3 years ago

Plz help me with this question plz

Serjik [45]

Answer:

Quarters: 2 = 50 cents. 50cents

Dimes: 2 = 20 cents. 70cents

Nickels: 8 = 40 cents. $1.10

<h3>Hope this Helps!</h3>

:)

4 0

3 years ago