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2 years ago

After using the distributive property on the expression a(b-c), which equivalent expression did Sammy write on her paper?

Mathematics

1 answer:

Mamont248 [21]2 years ago

7 0

Ab-ac ...........................

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According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

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".

Solution to the problem

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

$X \sim Binom(n=9, p=0.47)$

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:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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2 years ago

PQR is a right-angled triangle.

ICE Princess25 [194]

Step-by-step explanation:

3 0

2 years ago

Factor 2y^2+7y-14=0<br> How do I solve this by factoring ?

Gre4nikov [31]

Answer:

y=−7−(√161/4), −7+(√161)/4

Decimal form- y=1.42214438, -4.92214438

Step-by-step explanation:

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2 years ago

What is 7/10+20/100?

Firdavs [7]

9/10. make the bottom numbers the same to add fractions. you can do that by multiplying 7/10 by 10/10.

70/100 + 20/100 = 90/100

90/100 = 9/10

you can also reduce 20/100 to 2/10.

7/10 + 2/10 = 9/10

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2 years ago

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Amelia receives two dozens roses for her birthday. 18 of the roses are pink what percent of the roses are pink

ollegr [7]

18/24 = pink roses... 75% of the roses are pink.

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2 years ago