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3 years ago

Insert parentheses to make each statement true -8+3-2+7=-16

Mathematics

1 answer:

quester [9]3 years ago

8 0

this is the answer and where the parentheses -8+(3-2)+7=-16

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Assume that X is a binomial random variable with n = 27 and p = 0.90. Calculate the following probabilities. (Do not round inter

Yuki888 [10]

Answer:

a) $P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

b) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

c) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

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:

$X \sim Binom(n=27, p=0.9)$

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

We want this probability:

$P(X=26)$

And we can use the probability mass function and we got:

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

Part b

We want this probability:

$P(X=25)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

Part c

We want this probability:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)$

And we can use the probability mass function and we got:

$P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

3 0

3 years ago

50 is what percent of 125?

Leokris [45]

It would be 40 percent. I hope this helps

3 0

3 years ago

What is the answer for 5x-2x+8=2+6x+6?

Ede4ka [16]

5x - 2x + 8 = 2 + 6x + 6

Add like terms:

5x - 2x = 3x

2 + 6 = 8

3x + 8 = 6x + 8

To isolate the variable, subtract 6x from both sides of the equation:

3x - 6x = -3x

-3x + 8 = 8

Now subtract 8 from both sides:

8 - 8 = 0

-3x = 0

To finish, divide both sides by -3:

0 ÷ -3x = 0

The answer is x = 0

Hope this helps.

3 0

3 years ago

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X to the second power equals 14

yaroslaw [1]

X to the second power equals 14 is the same as:
$x^{2}=14$
we can take the square root of both sides to get:
$x= \sqrt{14}$
because we cannot simplify the 14 inside the square root symbol, our final answer is
$x= \sqrt{14}$

5 0

3 years ago

PLSSSSSSSSSSS ANSWER FASSTTT!!!!!!

liberstina [14]

Answer:

the only solution is 0

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers