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4 years ago

True or false; If two planes cross one another, then their intersection is two lines.

2 answers:

8 0

Hey There!

The answer would be true, because if your planes are not parallel, they're eventually going to meet and intersect.

Hope this helps!

Vlad1618 [11]4 years ago

5 0

If they intersect eachother then the answer is true

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There are n questions on a multiple choice exam, and for each question, there are four choices. To pass the exam, one must corre

irinina [24]

Answer:

a) 0.352% probability of the student passing

b) 5

c) 1.875

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student answers it correctly, or he answers it wrong. The probability of correctly answering a question is independent from the probability of correctly answering other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

For each question, there are four choices.

One choice is correct, so $p = \frac{1}{4} = 0.25$

a. Find the probability of the student passing for n = 10.

0.7*10 = 7

This is $P(X \geq 7)$ when $n = 10$

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031$

$P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004$

$P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} = 0.00002$

$P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \cong 0$

$P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0.00002 = 0.00352$

0.352% probability of the student passing

b. Find the expected number of questions answered correctly for n = 20.

Here we have n = 20. So

$E(X) = np = 20*0.25 = 5$

c. Find the variance for the number of questions answered correctly for n = 10.

Here we have n = 10.

$V(X) = np(1-p) = 10*0.25*0.75 = 1.875$

5 0

4 years ago

Do this worksheet if someone do I will make him or her brainly if correct

kow [346]

Step-by-step explanation:

1) 15 % games lost

2) 3/20

3) 271/500

4) 12/25

3 0

3 years ago

Find the composite area of the polygon

KIM [24]

Answer:

Obtaining the area or perimeter is the easiest and basic skills in geometry, however, when combining several plane figures, composite shapes are formed, which can include: squares, circles, triangles, rectangles, trapezoids, etc.

To obtain the area or perimeter of this type of figures should analyze the figure and follow these steps:

STEP I

♦ Must identify which figures form the total.

STEP II

♦ Analyze if there are parts of the figures that you will not need, for example the sides that join two or more figures.

STEP III

♦ Obtain separately the areas and perimeters of each figure

STEP IV

♦Add the obtained in each figure.

Hope it helps you!

Step-by-step explanation:

5 0

3 years ago

A rounded number for the speed of an insect Is 5.67 meters per second.What are the fastest and slowest speeds to the thousandths

zepelin [54]

Slowest- 5.665 because it is 5 so it will round up.
Fastest- 5.669 will also round up to the nearest hundredth which is 5.67

3 0

4 years ago

HELPPPPP!:(

gayaneshka [121]

Answer:

x is greater than or equal to 3 inches.

Step-by-step explanation:

7 0

3 years ago