F AB:BC is 3:11, solve for x

Solve the equation. -11=1+3r+3

luda_lava [24]

Answer:

r = -5

Step-by-step explanation:

-11 = 1+3r+3

-11 = 3r + 4

3r = -15

r = -5

7 0

3 years ago

Graph the line that is parallel to y = 3x - 7 that passes through the point (2, 1)

Misha Larkins [42]

Answer:

y = 3x - 5

y = 3x - 7

y = 3x + b

1 = 3(2) + b

1 = 6 + b

-5 = b

y = 3x - 5

7 0

3 years ago

Find (f^-1)(a). F(x)=cosx- sin x + pi/2 a=pi/2, 0

Novosadov [1.4K]

Answer:

pi/4

Step-by-step explanation:

my answer is in the image above

7 0

2 years ago

What's the value of x? Enter your answer in the box.<br> x = {}

Pani-rosa [81]

All three angles on a triangle always equal 180°.

Example: 100°+40°+40°=180°

102+39=141°

180-141=39°

x = 39°

3 0

2 years ago

Read 2 more answers

A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me

Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

There are 20 questions, hence $n = 20$ .

Each question has 2 options, one of which is correct, hence $p = \frac{1}{2} = 0.5$

The probability is:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)$

In which:

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

$P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148$

$P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046$

$P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011$

$P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002$

$P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0$

$P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0$

Then:

$P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207$

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago