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4 years ago

If X = 12 units, Y = 4 units, and h = 10 units, then what is the area of the trapezoid shown above?

Mathematics

1 answer:

satela [25.4K]4 years ago

7 0

Answer:

52 units^2

Step-by-step explanation:

It's unclear what the leg lengths and the width are. I must assume that the lengths are 12 units and 14 units and that the width of the trapezoid is 4 units. You were given an illustration for this problem and should have shared it or described the trapezoid in words. Please do this if the answer given below does not agree with any of your answer choices.

If the lengths are 12 units and 14 units and that the width of the trapezoid is 4 units, then the area is

12 units + 14 units

A = ---------------------------- * 4 units = 52 units^2

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If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

Lilith and her friend shared a pizza. Lilith ate two sixths of the pizza and her friend ate three sixths. How much pizza did the

Tcecarenko [31]

Step-by-step explanation:

$\frac{2}{6} + \frac{3}{6 } =$

2+ 3

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____5___

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2 years ago

Find x and y ! <br><br> pls help giving 50 points !!

Natasha_Volkova [10]

Answer:

y = 20°

x = 35°

Explanation:

Equation's:

1) 2y + x + 105° = 180°

2) 3x + x + 2y = 180°

Make y subject in equation 2

3x + x + 2y = 180

4x + 2y = 180

2y = 180 - 4x

y = 90 - 2x

Insert this into equation 1

2(90 - 2x) + x + 105° = 180°

180 - 4x + x + 105 = 180

-3x = -105

x = 35°

Find value of y

y = 90 - 2x

y = 90 - 2(35)

y = 20°

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2 years ago

Read 2 more answers

A police department commissioned a door-to-door survey of citizens on whether they commit minor law infractions, such as speedin

Neko [114]

Answer: Interviewer-induced bias

Step-by-step explanation:

The example given in the question illustrates the Interviewer-induced bias. This occurs when the situation created by the interviewer is such that the respondent will have to give the kind f answer that the interviewer wants to hear.

For example, in the question, we can deduce that the interviewers told the interviewees that they won't be investigated and the gave bias replies based on that.

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3 years ago

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I’m terms of 12 in is the correct answer.

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