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3 years ago

Define a signed numbers for math.

1 answer:

7 0

A signed number is a number preceded by either a + sign (indicate a positive number) or a - sign (indicates a negative number)

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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

Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge o

dusya [7]

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

6 0

2 years ago

Zoe had a board 5 1/4 feet long she cut off a piece now the board is 3 5/6 feet long how long was the piece she cut off

11Alexandr11 [23.1K]

5 1/4-3 5/6=1 5/12

Hope this helped!!! :P

7 0

2 years ago

What is the value of x? I don’t understand this please help

Monica [59]

Answer:

Step-by-step explanation:

A tangent line makes a right angle with the radius to the point of tangency. Hence this triangle is a right triangle, and x° is the complement of 36°:

x° = 90° -36° = 54°

The value of x is 54.

3 0

2 years ago

4n-12=12-4n(If there is no solution, type in "no solution") n= Answer

Kipish [7]

Answer:

n = 3

Step-by-step explanation:

6 0

3 years ago

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