All categories

4 years ago

WHICH OF THE FOLLOWING STATEMENTS CANNOT BE DETERMINED FROM THE DIAGRAM

Mathematics

1 answer:

Gelneren [198K]4 years ago

8 0

Answer:

Option (B).

Step-by-step explanation:

Option (A).

A, F and B are lying on a line on the plane M.

True.

Option (B).

CD lies on the plane M, but its not clear that angle between the plane M and P is 90°.

False.

Option (C).

A, B and C are coplanar.

Since, these three points lie on the plane M, they are coplanar.

True.

Option (D).

Plane M intersects plane P in FH.

Since, line of intersection of the two planes M and P will be FH.

True.

Therefore, Option (B) will be the correct option.

You might be interested in

Leon left a 15% tip for a meal. the total cost of the meal including the tip was $41.40. What was the cost the meal before the t

NeX [460]

% * whole = part
0.15 * 41.40 = 6.21
6.21 is the tip.
41.40 - 6.21 = 35.19
The cost is $35.19

5 0

3 years ago

Which statement is true?

goldfiish [28.3K]

Answer:

pretty sure its c

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A rock climber's elevation above sea level changed −82 1/2 feet in 2 1/4 minutes as she descended.

IRINA_888 [86]

<span>the climber's average change in elevation per minute is 36 2/3.</span>

6 0

3 years ago

4m-3/4=-9+4m/8 this is my question that i need help with

Bess [88]

Answer:

The answer is -2 5/14 if you're trying to solve for m

Step-by-step explanation:

first you get rid of the fractions by mutiplying both sides by 4.

4(4m-3/4)=(-9+4m/8)4

16m-3=-36+2m then you put the varible terms on one side and the numbers on one side

14m=-33

then divide -33 by 14

which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36

5 0

3 years ago

Read 2 more answers

According to the National Institute of Allergy and Infectious Diseases, 6% of American adults have a food allergy. A large compa

Vinil7 [7]

Answer:

a) The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

In this problem, for each person, either they are allergic to some kind of food, or they are not. The probability of a person being allergic is independent of any other people. So this situations meets all these requirements.

b) The expected value is 30 and the standard deviation is 5.31.

c) Close to 0% probability that none of the 500 employees has a food allergy

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have food allergy, or they do not. The probability of an adult having allergy is independent of other adults. 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 standard deviation of the binomial distribution is:

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

6% of American adults have a food allergy

This means that $p = 0.06$

500 employees.

This means that $n = 500$

(a) What are the assumptions/requirements of a Binomial distribution? Does this situation meet all these requirements?

The requirements is that each trial can only have two outcomes(success/failure), and each trial has the same probability of a success, that is, they are independent of each other.

(b) What are the expected value and standard deviation of X (i.e., of the population)?

$E(X) = np = 500*0.06 = 30$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.06*0.94} = 5.31$

The expected value is 30 and the standard deviation is 5.31.

(c) What is the probability that none of the 500 employees has a food allergy?

This is P(X = 0).

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

$P(X = 0) = C_{500,0}.(0.06)^{0}.(0.94)^{500} \cong 0$

Close to 0% probability that none of the 500 employees has a food allergy

4 0

3 years ago