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3 years ago

Explain how the expression 5 x (6-4) and 5 x 6-4 are different

2 answers:

8 0

Because of PEMDAS you would answer 6-4 first in the equation 5x(6-4) because it is in parentheses. Since there are no parentheses in 5x6-4 you would multiply 5x6 first.

Vera_Pavlovna [14]3 years ago

5 0

The expressions 5 x (6 - 4) and 5 x 6 - 4 are different because....

Anything inside the parentheses has to be done first so 5 x (6 - 4) the 6 -4 has to be done first but in 5 x 6 - 4 you have to follow PEMDAS and do multiplication first.

Hope I helped!

-Char

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According to a recent Census Bureau report, 12.7% of Americans live below the poverty level. Suppose you plan to sample at rando

larisa [96]

Answer:

a) $P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928$

b) $P(X \leq 10) = 0.2614$

c) $(1-0.127)^7 (0.127) =0.0491$

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:

$X \sim Binom(n=100, p=0.127)$

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:

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

a. What is the probability that you count exactly 10 in poverty?

For this case we want this probability P(X=10)

$P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928$

b. What is the probability that you count 10 or less in poverty? .2614

For this case we want this probability $P(X=\leq10)$

$P(X\leq10)=P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)+P(X=6)+P(X=7)+P(X=8)+P(X=9)+P(X=10)$

And we can find the individual probabilities like this:

$P(X=0)=(100C0)(0.127)^{0} (1-0.127)^{100-0}=1.263x10^{-6}$

$P(X=1)=(100C1)(0.127)^{1} (1-0.127)^{100-1}=1.837x10^{-5}$

$P(X=2)=(100C2)(0.127)^{2} (1-0.127)^{100-2}=0.000132$

$P(X=3)=(100C3)(0.127)^{3} (1-0.127)^{100-3}=0.000629$

$P(X=4)=(100C4)(0.127)^{4} (1-0.127)^{100-4}=0.00222$

$P(X=5)=(100C5)(0.127)^{5} (1-0.127)^{100-5}=0.00620$

$P(X=6)=(100C6)(0.127)^{6} (1-0.127)^{100-6}=0.0143$

$P(X=7)=(100C7)(0.127)^{7} (1-0.127)^{100-7}=0.0279$

$P(X=8)=(100C8)(0.127)^{8} (1-0.127)^{100-8}=0.0471$

$P(X=9)=(100C9)(0.127)^{9} (1-0.127)^{100-9}=0.0701$

$P(X=10)=(100C10)(0.127)^{10} (1-0.127)^{100-10}=0.0928$

And then repplacing we got:

$P(X \leq 10) = 0.2614$

c. What is the probability that you start taking the random sample and you find the first person in poverty on the 8th person selected? .0491

For this case we need after 7 people , 1 in poverty so we can find this probability like this:

$(1-0.127)^7 (0.127) =0.0491$

7 0

3 years ago

If kip had 3 koolaids and he drank 1 how many koolaids dose he have left

Marizza181 [45]

Answer:

The answer is actually 2

Step-by-step explanation:

No. of koolaids Kip has = 3

No. of koolaids he drank = 1

No. of koolaid doses left = 3 - 1 = 2

6 0

4 years ago

1. A wise old man once said, "500 reduced by 4 times my age is<br> 296." What is his age?

Daniel [21]

Answer:

Step-by-step explanation:

51×4=204

500-204=296

3 0

3 years ago

Find the area of the right triangle ADC

vesna_86 [32]

Answer:

32/2= 16

Step-by-step explanation:

formula for area of triangle is base x height divided by 2

3 0

3 years ago

Read 2 more answers

What is 0.716 divided by 5?

Eddi Din [679]

The answer would be 0.1432

4 0

3 years ago