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2 years ago

Which statement is true?

Mathematics

1 answer:

defon2 years ago

7 0

Answer:

B is correct.

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laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago

Find the 8th term of the geometric sequence 3, 12, 48,...

Sophie [7]

$\begin{gathered} \text{The first term is 3, the common ratio is 4} \\ \text{That means;} \\ a=3,r=4 \\ \text{The nth term is } \\ T_n=ar^{(n-1)} \\ 8th=3\times4^{(8-1)} \\ 8th=3\times4^7 \\ 8th=3\times16384 \\ 8th=49152 \end{gathered}$

4 0

1 year ago

Complete the sentence to make it true statements 6 is 100 times

AnnyKZ [126]

Answer:

6 is 100 times 0.06

Step-by-step explanation:

0.06 times 100 = 6

8 0

3 years ago

Read 2 more answers

What set of numbers are all factors of 18

kifflom [539]

Answer:

2,3,9

Step-by-step explanation:

factors are the smallest numbers that can divide 18completely

7 0

3 years ago

Nidah writes down two different prime numbers.

balu736 [363]

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

5²=25

hence the different prime numbers are 2 and 3

5 0

1 year ago