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3 years ago

F(−4)−3⋅g(−2) evaluate function expressions

Mathematics

1 answer:

rosijanka [135]3 years ago

6 0

f(-4) -3 * g(-2) = -4f + 6g

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Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

8 0

3 years ago

In the figure below, AMNO

NeX [460]

Given:

$\Delta MNO\cong \Delta PQR$

To find:

The length of QR.

Solution:

We have,

$\Delta MNO\cong \Delta PQR$

Then, $MN=PQ$ (CPCTC)

$10=4x-2$

$10+2=4x$

$12=4x$

Divide both sides by 4.

$\dfrac{12}{4}=x$

$3=x$

Similarity,

$MO=PR$ (CPCTC)

$2y+3=21$

$2y=21-3$

$2y=18$

Divide both sides by 2.

$y=9$

Now,

$x+y=3+9$

$x+y=12$

Therefore, the correct option is d.

4 0

3 years ago

3a. State whether the following is true or false. *

olganol [36]

Answer:

The answer is False

7 0

3 years ago

WILL GIVE BRAINLIEST. PLEASE HELP SOON.

Contact [7]

Answer:

M1, A1, T1, H1, M5, A5, T5, H5

Step-by-step explanation:

So from each of the first branches, we would consider the sample space of choosing a letter from the word MATH. There would be 4 branched, with M, A, T, and H. From each of those, you would have to split them into 2 branches, one for the 1 and one for the 5, from the digits of 15. So you would end up with 8 total branches at the end.

8 0

2 years ago

The total charge for a yearly internet DVD rental membership is $231. A registration fee of $15 is paid up front , and the rest

Colt1911 [192]

Answer:

89 cents.

Step-by-step explanation:

hope this helps

3 0

2 years ago