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3 years ago

I need an answer ASAP. Somebody HELLLLP!

Mathematics

2 answers:

DanielleElmas [232]3 years ago

8 0

Answer:

Choice D is correct.

Step-by-step explanation:

There are two lines that meet at one point and there are two another lines that meet at one other points.

So, there are two pairs of lines that intersect.

Lana71 [14]3 years ago

6 0

2 pairs of lines that intersect

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Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which o

myrzilka [38]

Answer:

a) 0.0000001024 probability that he will answer all questions correctly.

b) 0.1074 = 10.74% probability that he will answer all questions incorrectly

c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that 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.

Each question has five answers, of which only one is correct

This means that the probability of correctly answering a question guessing is $p = \frac{1}{5} = 0.2$

10 questions.

This means that $n = 10$

A) What is the probability that he will answer all questions correctly?

This is $P(X = 10)$

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

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024$

0.0000001024 probability that he will answer all questions correctly.

B) What is the probability that he will answer all questions incorrectly?

None correctly, so $P(X = 0)$

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

0.1074 = 10.74% probability that he will answer all questions incorrectly

C) What is the probability that he will answer at least one of the questions correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

Since $P(X = 0) = 0.1074$ , from item b.

$P(X \geq 1) = 1 - 0.1074 = 0.8926$

0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

D) What is the probability that Richard will answer at least half the questions correctly?

This is

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

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

$P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264$

$P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055$

$P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008$

$P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001$

$P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0$

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328$

0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

8 0

3 years ago

A road is inclined at an angle of 5°. After

Scorpion4ik [409]

Answer:

464 feet

Step-by-step explanation:

The Sine of the angle of inclination gives the increase in altitude.

This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e

Sin Ф = Opposite ÷ Hypotenuse

Sin 5° = O ÷ 5328

0·08716 = O ÷ 5328

Make O the subject and multiply every fraction by 5328

(0·08716/1 × 5328)= (O/5328 × 5328)

464·388 = O

∴ The increase in altitude is 464·388 feet

This is supposed to be to the nearest foot so we round off

464·388 becomes 464 feet

3 0

2 years ago

One number is seven more than twice another . If their sum is decreased my ten the result is twelve. Find the numbers

Rainbow [258]

Answer:

5, 17

Step-by-step explanation:

For this problem, you need to create a system of equations.

We can name one number x and the other y.

First equation: 2x + 7 = y

Second equation: x + y - 10 = 12, or x + y = 22.

We know y = 2x + 7, so we can substitute that into the second equation.

x + 2x + 7 = 22.

3x = 15

x = 5.

Plug x back into the first equation:

2 · 5 + 7 = y.

y = 10 + 7

y = 17.

3 0

3 years ago

Write a division equation that shows 3 items being divided equally among 4 people. Express the answer as a fraction

madreJ [45]

Answer:3/4

Step-by-step explanation:

3 divided by 4=3/4

3 0

3 years ago

Read 2 more answers

F(x) = 4x − 12 f−1(x) =___? x +____?

natali 33 [55]

Answer:

$f^{-1}(x)=\frac{1}{4}x+3$

Step-by-step explanation:

We have been given the function $f(x)=4x-12$

Below are steps for finding the inverse of the function.

Step 1:

Replace f(x) with y

$y=4x-12$

Step 2:

Interchange x and y

$x=4y-12$

Step 3:

Solve for y

$x+12=4y\\\\y=\frac{1}{4}x+3$

Step 4:

Replace y with $f^{-1}(x)$

$f^{-1}(x)=\frac{1}{4}x+3$

6 0

3 years ago