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3 years ago

10

There are about 795 houses in this region. The average family size is 6 people. There are about __________ people living in the

region.

1 answer:

attashe74 [19]3 years ago

4 0

Answer:

about 4770 people

Step-by-step explanation:

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Given that events A and b are independent p(A) =0.60 and P(B)=0.30, what is P(A and B)?

myrzilka [38]

P(a)*p(b)=0.6*0.3=0.18

3 0

3 years ago

Find out the number of combinations and the number of permutations for 8 objects taken 6 at a time. Express your answer in exact

umka2103 [35]

Solution:

The permutation formula is expressed as

$\begin{gathered} P^n_r=\frac{n!}{(n-r)!} \\ \end{gathered}$

The combination formula is expressed as

$\begin{gathered} C^n_r=\frac{n!}{(n-r)!r!} \\ \\ \end{gathered}$

where

$\begin{gathered} n\Rightarrow total\text{ number of objects} \\ r\Rightarrow number\text{ of object selected} \end{gathered}$

Given that 6 objects are taken at a time from 8, this implies that

$\begin{gathered} n=8 \\ r=6 \end{gathered}$

Thus,

Number of permuations:

$\begin{gathered} P^8_6=\frac{8!}{(8-6)!} \\ =\frac{8!}{2!}=\frac{8\times7\times6\times5\times4\times3\times2!}{2!} \\ 2!\text{ cancel out, thus we have} \\ \begin{equation*} 8\times7\times6\times5\times4\times3 \end{equation*} \\ \Rightarrow P_6^8=20160 \end{gathered}$

Number of combinations:

$\begin{gathered} C^8_6=\frac{8!}{(8-6)!6!} \\ =\frac{8!}{2!\times6!}=\frac{8\times7\times6!}{6!\times2\times1} \\ 6!\text{ cancel out, thus we have} \\ \frac{8\times7}{2} \\ \Rightarrow C_6^8=28 \end{gathered}$

Hence, there are 28 combinations and 20160 permutations.

7 0

1 year ago

HURRY PLEASE!!I WILL GIVE BRAINLIEST

Irina18 [472]

Answer:

Step 1 = 9 $\sqrt{3}$

Step 2 = 4

Step 3 = 25

Step-by-step explanation:

8 0

3 years ago

There are 18 girls in Mr. Wilson's math class. It 60% of the students are girls, how many total students are in Mr.

Vikentia [17]

Step-by-step explanation:

60% = 18 +

20% = 6 ( cos its 1/3)+

20% = 6 =

100% = 30

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3 years ago

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height

Rufina [12.5K]

Answer:

48 , 336

Step-by-step explanation:

B= 6 x 8 = 48

V=BH

V=48 x 7

V= 336

6 0

3 years ago