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2 years ago

Hey please help me asap

Mathematics

1 answer:

Harrizon [31]2 years ago

6 0

Answer:

It's A.

Step-by-step explanation:

Since point C divides in the ratio 1:2, one of the coordinates has to be half of the other coordinate. 3 is half of the coordinate 6, which therefore makes it correct.

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32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

2 years ago

Aline with a slope of 2 passes through the point (3,9).

azamat

Answer:

WAP

Step-by-step explanation:

ddhghfd WAP

4 0

2 years ago

Q=25πh how do I solve it

kompoz [17]

Answer: ok the answer is 42

Step-by-step explanation: so q = 17 right? and 25 = Y

so i think you add then you get 42...right? i might not get the right answer

but what letter is this i don't know this symbol or lettter: π

7 0

2 years ago

Each person attending a two-day conference receives 4 meal vouchers to use.

Lisa [10]

Part A: Let x and y be the number of persons attending the two-day conference and y be the number of vouchers released. The equation that would best express the given is,
y = 4x

Part B: The number of people attending the conference is determined by dividing the given number of vouchers by 4. The answer is 956.

6 0

2 years ago

What is 30% of x is 60

Dima020 [189]

30% × = 60

30% = $\frac{30}{`00}$ = 0.3

0.3x = 60

Divide by 0.3 on either sides to isolate x

$\frac{0.3x}{0.3}$ = $\frac{60}{0.3}$
x = 200

30% of 200 is 60

8 0

2 years ago