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3 years ago

According to the general equation for conditional probability, if P(An B)=4/7 and P(B)= 7/8, what is P(A|B)

Mathematics

1 answer:

uranmaximum [27]3 years ago

5 0

The rule for conditional probability states that

$P(A|B) = \dfrac{P(A\cap B)}{P(B)}$

Since we're given both numerator and denominator, we only need to plug the values in:

$P(A|B) = \dfrac{\frac{4}{7}}{\frac{7}{8}} = \dfrac{4}{7}\cdot \dfrac{8}{7} = \dfrac{32}{49}$

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9. If PQRS is a kite, find RQ. * 17 ft. 23 ft. 30 ft. 12 ft.

svetlana [45]

Answer:

17 ft

Step-by-step explanation:

The triangle on the bottom left is a right triangle.

a² + b² = c²

(8 ft)² + (15 ft)² = (RQ)²

64 ft² + 225 ft² = (RQ)²

(RQ)² = 289 ft²

RQ = 17 ft

4 0

2 years ago

Someone help me plz.

Svetllana [295]

Answer:
20%

Explanation:
What we know:
- there are 25 cans in total
- 5 of them are root beer cans

Using this information, we can say that 5/25 cans are root beer cans. To find the percent, we change the fraction into a decimal and then multiply it by 100.

To change 5/25 into a decimal, we divide the numerator and denominator.
5/25=0.2

And we multiply the decimal by 100 to get the percent:
0.2*100=20

Therefore, 20% of Cam’s cans are root beer cans.

I hope this helps!

3 0

3 years ago

THERE ARE 3 BAGS OF APPLES WEIGHING A TOTAL OF 22 1/2 POUNDS. TWO OF THE BAGS WEIGH 6 3/8 POUNDS AND 3 1/4 POUNDS. HOW MUCH DOES

Mkey [24]

I wasn't going to click on this one, but the all-caps enthralled me and hypnotized me.

first off, let's change all the mixed fractions to "improper" and proceed from there, keep in mind that if we subtract the two bags' weight from the total, what's leftover is the 3rd bag's weight.

$\bf \stackrel{mixed}{22\frac{1}{2}}\implies \cfrac{22\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{45}{2}}
\\\\\\
\stackrel{mixed}{6\frac{3}{8}}\implies \cfrac{6\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{51}{8}}
\\\\\\
\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}\\\\
-------------------------------\\\\$

$\bf \stackrel{\textit{sum of the two bags}}{\cfrac{51}{8}+\cfrac{13}{4}}\impliedby \textit{our LCD is 8}\implies \cfrac{(1)51+(2)13}{8}
\\\\\\
\cfrac{51+26}{8}\implies \cfrac{77}{8}\\\\
-------------------------------\\\\
\stackrel{total}{\cfrac{45}{2}}~-~\stackrel{two~bags}{\cfrac{77}{8}}\impliedby \textit{our LCD is again 8}\implies \cfrac{(4)45-(1)77}{8}
\\\\\\
\cfrac{180~~-~~77}{8}\implies \cfrac{103}{8}\implies \stackrel{third~bag}{12\frac{7}{8}}$

3 0

3 years ago

A blueprint for a new house has a scale of 1:50. Here are the dimensions of two rooms. Calculate the dimensions of each room on

Lorico [155]

Answer:

a.) =30.72*50

b.)13.02*50

Step-by-step explanation:

you got to calculate the area of the two rooms by multipling the sides.

as we know that the scale is 1:50, this means for every 1meter it is 50 meters.

once we have calculated the area of the space used multply it by 50 to get the area dimensions occupied

8 0

3 years ago

What is 5x=-2y+6 in slope-intercept form?

Gemiola [76]

Answer:

y=-5/2x+3

Step-by-step explanation:

8 0

3 years ago

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