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Kitty [74]
3 years ago
10

for each question on a five question multiple choice test, there are four possible answers which exactly one is correct. A stude

nt, who did not study or attend class, is going to select his answeres is completely at random. If the random variable x represents the number of correct answers he selects, write the probability distribution of the random varuable x
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

X follows a Binomial Distribution with n = no. of questions and p = ¼

X ~ B(n , 0.25)

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What is the area of the sector shown in the picture
tatuchka [14]

Answer:

The area of the sector shown is 4.75 pi

Step-by-step explanation:

First we have to know what fraction of the total circle that part represents

for that we divide 45 ​​by 360

45/360 = 1/8

now we calculate the area of ​​the circle and divide it by 8

a = ( π * 6² ) / 8

a = ( π * 36 ) / 8

a = π * 4.75

a = 4.75 pi

7 0
3 years ago
I need some help with this<br><br>​
dalvyx [7]

\pink{\underline{{\boxed{\bf{QUESTION: }}}}}

-6(x+4) = _____

\pink{\underline{{\boxed{\bf{OPTIONS:}}}}}

  • 6x - 4❌
  • -6x + 4❌
  • -6x - 24✔️
  • 6x + 24❌

\pink{\underline{{\boxed{\bf{ ANSWER: }}}}}

-6(x+4) = <u>-6x - 24</u>

<h3>Hope It's helped! :)</h3>
4 0
3 years ago
URGENT
Lynna [10]
The answer would be A. 3 1/2.
Explanation
First find a common denominator, which would be 6. You times the top number the same amount of times you times the bottom number to get the common denominator, so now it's 1 4/6 + 1 5/6 now you add, 1+1=2, now you need to add 4 and 5 together, bc they are the top numbers of the fraction. That would be 9 so now the problem is 2 9/6, now we simplify the fraction so that it is 3 3/6 now that simplifies into 1/2 so the answer is 3 1/2
4 0
3 years ago
A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia
serious [3.7K]

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).  is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

7 0
3 years ago
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
3 years ago
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