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2 years ago

A 30-ounce jar of peanut butter costs $6.00. A 40-ounce jar costs $7.20. Which jar of peanut

Mathematics

1 answer:

kobusy [5.1K]2 years ago

4 0

Answer:

The 40-ounce jar of peanut butter is cheaper per ounce.

Step-by-step explanation:

30-ounce jar:

6÷30=0.2

40-ounce jar:

7.2÷40=0.18

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It is estimated that 0.54 percent of the callers to the Customer Service department of Dell Inc. will receive a busy signal. Wha

stira [4]

Using the binomial distribution, it is found that there is a 0.8295 = 82.95% probability that at least 5 received a busy signal.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

0.54% of the calls receive a busy signal, hence p = 0.0054.

A sample of 1300 callers is taken, hence n = 1300.

The probability that at least 5 received a busy signal is given by:

$P(X \geq 5) = 1 - P(X < 5)$

In which:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{1300,0}.(0.0054)^{0}.(0.9946)^{1300} = 0.0009$

$P(X = 1) = C_{1300,1}.(0.0054)^{1}.(0.9946)^{1299} = 0.0062$

$P(X = 2) = C_{1300,2}.(0.0054)^{2}.(0.9946)^{1298} = 0.0218$

$P(X = 3) = C_{1300,3}.(0.0054)^{3}.(0.9946)^{1297} = 0.0513$

$P(X = 4) = C_{1300,4}.(0.0054)^{4}.(0.9946)^{1296} = 0.0903$

Then:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0009 + 0.0062 + 0.0218 + 0.0513 + 0.0903 = 0.1705.

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.1705 = 0.8295$

0.8295 = 82.95% probability that at least 5 received a busy signal.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

1 year ago

What is the surface area of 2cm, 5cm, and 2cm

noname [10]

2*5 = 10
2*2 = 4

4(10) + 2(4) = 40 + 8 = 48

ans) 48cm

6 0

3 years ago

(36 - 4t) squared.

Flura [38]

Answer: 4(3-t)(3+t)

Step-by-step explanation:

after you find the GCF you will have 4(9-t) squared. since 9 is square you will after to put the square root of 9 (which is 3) into the equation when you factor it further. therefore giving you 4(3-t)(3+t). if you un- factored your equation you would get 4(81-t) because 9x9 is 81 not 3. hope this helps. just learned this too lol

3 0

3 years ago

Greg had $17 more than Fred, and together they had just enough money to by their mom a present that costs $85. How much money di

babunello [35]

<u>Define x:</u>

Let Fred had x dollar.

Fred = x
Greg = x + 17

<u>Solve x :</u>

x + x + 17 = 85
2x + 17 = 85
2x = 68
x = 34

<u>Find the amount each of them had:</u>

Fred = x = $34
Greg = x + 17 = 34 + 17 = $51

Answer: Greg had $51

3 0

3 years ago

Read 2 more answers

What is 22 + 125 - 6

uysha [10]

Answer:

141

Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers