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Leviafan [203]
4 years ago
13

What is the area of the figure? 7in 8in 8in 7in 4in 16 in

Mathematics
1 answer:
Tresset [83]4 years ago
3 0

Answer:

120 inches

Step-by-step explanation:

hope this helps

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If we sample from a small finite population without​ replacement, the binomial distribution should not be used because the event
seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans  so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}

Now compute each combination separately:

\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700

and now replace the values:

\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0
3 years ago
Simplify 1/2+2/3-1/4
avanturin [10]

Answer:

11/12

Step-by-step explanation:

5 0
3 years ago
Which expression is equivalent to 5(4f+3)-2f
Ierofanga [76]

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

6 0
3 years ago
Read 2 more answers
Confused and need help
vodka [1.7K]

First, reflect the triangle across x

Then translate the triangle 1 unit to the right and 9 units down

8 0
3 years ago
write the linear equation point slope form for the line that is perpendicular to y = -2x+1 and has (4,2) as a solutien.
ladessa [460]
Subtract 4 from both sides of the equation.

y=-4-2x+2

add -4 and +2.

the answer is

y=-2x-2

7 0
3 years ago
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