Seventy-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to

purchase electronics online is (a) exactly five, (b) more than five, and (c) at most five.

(a) Find the probability that the number that prefer to purchase electronics online is exactly five.

P(5)=

(Round to three decimal places as needed.)

Answers

Answer 1

Using the binomial probability relation, the probability of the following events are :

P(x = 5) = 0.2076P(x > 5) = 0.6785P(x ≤ 5) = 0.3215

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

Probability of success, p = 0.75q = 1 - p = 1 - 0.75 = 0.25Number of trials, n = 8

Probability of exactly 5 :

P(x = 5) = 8C5 × 0.75^5 × 0.25^3

P(x = 5) = 0.2076

2.) Probability of selecting more than 5 :

P(x > 5) = p(6) + p(7) + p(8)

Using a binomial probability calculator :

P(x > 5) = 0.6785

3.)

Probability at most 5 :

P(x ≤ 5) = p(0) + p(1) + p(2) + p(3) + p(4) + p(5)

Using a binomial probability calculator :

P(x ≤ 5) = 0.3215

Therefore, the probability of selecting at most 5 is 0.3215

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The answer is  [tex]\mathsf {\frac{2}{9}}[/tex].

We are given the equation :

∛(8/729)∛8/∛7292/9

Answer:

[tex]\dfrac{2}{9}[/tex]

Step-by-step explanation:

Given expression:

[tex]\sqrt[3]{\dfrac{8}{729}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies \left(\dfrac{8}{729}\right)^{\frac{1}{3}}[/tex]

[tex]\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:[/tex]

[tex]\implies \dfrac{8^{\frac{1}{3}}}{729^{\frac{1}{3}}}[/tex]

Rewrite 8 as (2 · 2 · 2) and rewrite 729 as (9 · 9 · 9):

[tex]\implies \dfrac{(2 \cdot 2 \cdot 2)^{\frac{1}{3}}}{(9 \cdot 9 \cdot 9)^{\frac{1}{3}}}[/tex]

[tex]\implies \dfrac{(2^3)^{\frac{1}{3}}}{(9^3)^{\frac{1}{3}}}[/tex]

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[tex]\implies \dfrac{2^{(3 \cdot \frac{1}{3})}}{9^{(3 \cdot \frac{1}{3})}}[/tex]

[tex]\implies \dfrac{2^1}{9^1}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]

[tex]\implies \dfrac{2}{9}[/tex]

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If BAC = ADB = 90. The value of x is

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D.

Step-by-step explanation:

u should times each num in brakect 5 times

exp:

-2×-2×-2×-2×-2=-32

Find the product.

-a 2b 2c 2(a + b - c)

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Answer:

I think the answer is

[tex] { - 8a}^{2} {b}^{2} - {8ab}^{3} + {8ab}^{2} c[/tex]

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The equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3

The equation of a line in slope intercept form is expressed as:

[tex]y-y_0 = m(x-x_0)[/tex]

m is the slope

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Given the following parameters:

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Substitute the given coordinates into the formula above;

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2y = -5x - 20  + 14

2y = -5x - 6

y = -5/2x - 3

Hence the equation of the line through the point (-4, 7) and with a slope of -5/2 is y = -5/2x - 3

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Question 20 of 40
Anna thinks of a number. She subtracts 5 from the number, multiplies the
result by 2, and then adds 6. The number she ends up with is 14. What
number did Anna start with?
If you work backward to solve this problem, what do you do first?
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D. Subtract 6 from 14
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Answers

Answer:

2(x-5)+6=14 is your starting equation, and then we solve:

2(x-5)+6=14

2(x-5)/2 +6=14/2

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the first step is to divide by 2, so A :)))

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Brainliest would be great. Comment below if it helped!

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For each block, we need to multiply using the volume formula which is

Length x Width x Height

So, if the side lengths for all these blocks are 1. That means we would do 1x1x1 for every block. Since there are 4 blocks that means our equation for the whole object would be 1+1+1+1 or simply 1x4. And we all know the answer to our equation 1 x 4 is 4.

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To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

2

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[tex]ANSWERED:\\GraceRosalia[/tex]

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