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marishachu [46]
3 years ago
10

Chrissy ate 10% of the Christmas cookies. If she ate 6 cookies, how many Christmas cookies were left?

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

If Chrissy eats 6 cookies so 54 cokies are left. .

Step-by-step explanation:

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Is (5,3) a solution to this system of equation <br> X+y=8<br> 17x+17y=8
Degger [83]

(5, 3)

x    y

Plug in:

x + y = 8

5 + 3 = 8

8 = 8

Plug in:

17(5) + 17(3) = 8

85 + 51 = 8

136 = 8

Answer - No, (5, 3) is not a solution to this system of equations.

5 0
3 years ago
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
A researcher was interested in comparing the salaries of female and male employees of a particular company. independent random s
Aneli [31]

Answer:

Based on  given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

Step-by-step explanation:

Sample 1 for female

Sample 2 for male

Confidence = 90%

Difference in mean weekly salary of all female employees and the mean weekly salary of all male employees  = µ₁- µ₂

So based on above given data, we can say with 95% confidence that the female employees at this company average between $110 less and $10 less per week than the male employees.

5 0
3 years ago
Calculate 6.75 tax on 23.05
Ksenya-84 [330]
The answer is 12dollas
3 0
2 years ago
Evaluate the problem <br>​
m_a_m_a [10]

Answer:

-2

Step-by-step explanation:

  1. Log_{2}\frac{1}{4} = -2

I hope this helps!

3 0
2 years ago
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