Find the probability for choosing a letter at random from the word: Probability P(not P) A.) 1/11 B.) 2/11 C.) 5/11 D.) 10/11​

Answers

Answer 1
Answer:

Answer:

D.) 10/11

Step-by-step explanation:

Here the given word Probability has 11 letters in it. And we have to calculate the Probability of not selecting a letter P from the above word.

So the formula for calculating any probability is Total Favorable outcomes / Total number of outcomes.

Here total number of outcomes are 11 as word Probability has 11 letters.

So the probability of selecting letter P from word Probability =  (1)/(11)

Now the P(not P) = 1 - P(selecting letter P)

                            = 1 - (1)/(11) = (10)/(11)


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Four research teams each used a different method to collect data on how fast a new iron skillet rusts. Assume that they all agree on the sample size and the sample mean (in days). Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation.A. Confidence Level: 99.7%; Confidence Interval: 40 to 40
B. Confidence Level: 95%; Confidence Interval: 40 to 50
C. Confidence Level: 68%; Confidence Interval: 43 to 47
D. Confidence Level: 95%; Confidence Interval: 42 to 48

Answers

ConfidenceLevel: 95%; Confidence Interval: 42 to 48. Then the correct option is D.

How to interpret the confidence interval?

Suppose the confidence interval at P% for some parameter's values is given by x ± y.

That means that the parameter's estimated value is P% probable to lie in the interval

[x - y, x + y]

Four research teams each used a different method to collect data on how fast a new iron skillet rusts.

Assume that they all agree on the sample size and the sample mean (in days).

Use the (confidence level; confidence interval) pairs below to select the team that has the smallest sample standard deviation.

Then we have

48 - 42 = 6

Then we have

6/2=3

3 is smallest

Then the correct option is D.

Learn more about confidence intervals here:

brainly.com/question/16148560

#SPJ2

Answer:

D. Confidence Level: 95%; Confidence Interval: 42 to 48

Step-by-step explanation:

48-42=6

6/2=3

3 is smallest

I tested A and got it incorrect so D is the awnser

Mary runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?

Answers

7 miles / 60 minutes = x miles / 24 minutes

cross multiply and simplify to get 2.8 miles. 

So, Mary can run 2.8 miles in 24 minutes at the same rate. 

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

  • Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2:  x-2y+2z=25

Eq 3:  2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

    Eq2:         z= 45

   Eq 3: 2x+4y-3z=30

  • Multiply Eq 1 by 2 and then add to Eq 3

Eq1:  (-x+2y-z=20 ) × 2

Eq2:            z= 45

Eq3:   2x+4y-3z=30

⇒ Eq1:  -x+2y-z=20

   Eq2:            z= 45

  Eq3:      8y-5z= 70

  • swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3:     8y-5z= 70

Eq 2:       z= 45

  • Solve Eq 2 for z

Z=45

  • solve Eq Eq 3 for y.

y= 295/8

  • Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

  • Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

The domain of a function f(x) is x 20, and the range is ys-1. What are thedomain and range of its inverse function, F1(x)?

Answers

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Domain:

x \leqslant  - 1

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Range:

y \geqslant 0

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Thus the correct answer is ((B)).

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What is the y intercept of the line represented by the equation
3x+2y = 6?

Answers

Answer:

3

Step-by-step explanation:

To identify the y-intercept represented by the given equation, we need to get the equation into slope-intercept from:

y=mx+b

m=slope

b=y-intercept

Start with:

3x+2y=6

Subtract 3x from both sides of the equation:

2y=-3x+6

Divide both sides of the equation by the coefficient of y, which is 2:

y=-1.5x+3

Identify the y-intercept:

b=3

What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT

Answers

Answer:

20

Step-by-step explanation:

factors of 20 = 1 2 4 5 10 20

factors of 40 = 1 2 4 5 8 20 10

therefore 20 is the greatest common