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qaws [65]
1 year ago
14

As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is

y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Mathematics
1 answer:
weeeeeb [17]1 year ago
8 0

<u>Part</u><u> </u><u>1</u>

y-4=x-2

<u>Part</u><u> </u><u>2</u>

y=x+2

<u>Part</u><u> </u><u>3</u>

x-y+2=0

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Stereo speakers are manufactured with a probability of 0.100.10 being defective. TwentyTwenty speakers are randomly selected. Le
olga nikolaevna [1]

Answer:

The expected value of X is 2 with a standard deviation of 1.34.

Step-by-step explanation:

For each speaker, there are only two possible outcomes. Either it is defective, or it is not. The probability of a speaker being defective is independent of other speakers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Stereo speakers are manufactured with a probability of 0.1 of being defective

This means that p = 0.1

Twenty speakers are randomly selected.

This means that n = 20

Let the random variable X be defined as the number of defective speakers. Find the expected value and the standard deviation.

E(X) = np = 20*0.1 = 2

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.1*0.9} = 1.34

The expected value of X is 2 with a standard deviation of 1.34.

6 0
3 years ago
Please help . In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC?
masya89 [10]

Answer:

  \overline{CS}\cong\overline{ST}

Step-by-step explanation:

The congruence statement for the triangles does not list point (or angle) S, so no claim about segments or angles involving S will be supported by the congruence statement.

The statement

  \Delta BAT\cong\Delta CAT tells you ...

     \angle TBA\cong\angle TCA\\\angle BAT\cong\angle CAT\\\angle ATB\cong\angle ATC\\\overline{BA}\cong\overline{CA}\\\overline{AT}\cong\overline{AT}\\\overline{TB}\cong\overline{TC}

No other claims can be made using CPCTC. The statement among the answer choices that is not true by CPCTC is ...

  \boxed{\overline{CS}\cong\overline{ST}}

3 0
3 years ago
John owes a debt of $500 to his landlord. His father has agreed to pay 3/ 5 of this amount for him. How much will his father pay
Vladimir79 [104]
3/5 of $500 = 3/5 *500 = 1500/500 = 300
His father will pay $300 
6 0
3 years ago
Denzil has a four sided spinner.
kramer

Answer:

The probability of getting 3 successive 1's from spinning the spinner 3 times = 0.027

Step-by-step explanation:

The spinner has 4 sides, 1,2,3 and 4

The probability of landing on a 1 = P(1) = 0.3

The probability of landing on a 2 = P(2) = It isn't given

The probability of landing on a 3 = P(3) = x

The probability of landing on a 4 = P(4) = 0.1

If Denzil spins the spinner 3 times, what is the probability of getting 3 successive 1's?

Noting that each spin is independent from one another, the probability of getting 3 successive 1's from spinning the spinner 3 times is given as

P(1) × P(1) × P(1) = 0.3 × 0.3 × 0.3 = 0.027

Hope this Helps!!!

7 0
3 years ago
On Monday, Mr. Sanchez started reading a 225-page biography. He plans to read 15 pages each day until he finishes the book. Find
77julia77 [94]

Answer:

150

Step-by-step explanation:

5 0
3 years ago
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