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3 years ago

If f(x)=3x+7 and g(x)=x^2+4, find f(g(-5))

Mathematics

1 answer:

Charra [1.4K]3 years ago

3 0

Answer:

Step-by-step explanation:

Given f(g(-5)) means that you take the number, -5, and substitute it into g(x) first. The answer provided from that equation will then be the number to be substituted in f(x).

x^2 + 4

-5^2 + 4

25 + 4 [It's positive because -5 x -5 cancels out to make a positive]

29 = g(x), therefore, this is the new number to be substituted for f(x)

3x + 7

3 (29) + 7

87 + 7 [to get 87, multiply 3 by 29]

Therefore, your final answer is 94.

Hope this helps!

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Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spa

sladkih [1.3K]

Answer:

1/2 ; 1/4

Step-by-step explanation:

Number of cards in a deck = 52

Number of red cards = 26

Number of spades = 13

Probability of event A :

P(A) = required outcome / Total possible outcomes

P( red card) = number of red cards / total cards in deck

P(red card) = 26 / 52 = 1/2

P(spade) = number of spades / total cards in deck

P(red card) = 13 / 52 = 1 / 4

7 0

3 years ago

The probability that an Oxnard University student is carrying a backpack is .70. If 10 students are observed at random, what is

Rus_ich [418]

Answer:

35.03% probability that fewer than 7 will be carrying backpacks

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are carrying a backpack, or they are not. The probability of a student carrying a backpack is independent from other students. 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 probability that an Oxnard University student is carrying a backpack is .70.

This means that $p = 0.7$

If 10 students are observed at random, what is the probability that fewer than 7 will be carrying backpacks

This is $P(X < 7)$ when $n = 10$ . So

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 0) = C_{10,0}.(0.7)^{0}.(0.3)^{10} = 0.000006$

$P(X = 1) = C_{10,1}.(0.7)^{1}.(0.3)^{9} = 0.0001$

$P(X = 2) = C_{10,2}.(0.7)^{2}.(0.3)^{8} = 0.0014$

$P(X = 3) = C_{10,3}.(0.7)^{3}.(0.3)^{7} = 0.0090$

$P(X = 4) = C_{10,4}.(0.7)^{4}.(0.3)^{6} = 0.0368$

$P(X = 5) = C_{10,5}.(0.7)^{5}.(0.3)^{5} = 0.1029$

$P(X = 6) = C_{10,6}.(0.7)^{6}.(0.3)^{4} = 0.2001$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.000006 + 0.0001 + 0.0014 + 0.0090 + 0.0368 + 0.1029 + 0.2001 = 0.3503$

35.03% probability that fewer than 7 will be carrying backpacks

4 0

4 years ago

2. What is the degree of<br> the polynomial<br> below?<br> 3- 14x4 - 2x + 20x<br> + 4x2

Nimfa-mama [501]

Answer:

3-14x⁴- 2x+20x+ 4x²

3- 14x⁴+ 18x+4x²

= -14x⁴+4x²+18x+3

Step-by-step explanation:

-14x⁴+4x²+18x+3

7 0

3 years ago

PLLLLLSSSS Heeeellppp ill mark brainliest I promisseeeeeeee plsssss

WARRIOR [948]

Answer:

$2\,(x-1)^2=4$

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

$y=ax^2+bx+c$