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Alborosie
3 years ago
15

Given f(x)= x-3 and g(x)= 2x+1 Find (fºg) (-10)

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

- 66

Step-by-step explanation:

Evaluate g(- 4) then substitute the value obtained into f(x) , that is

g(- 4) = - 2(- 4)² = - 2 × 16 = - 32, then

f(- 32) = 2(- 32 - 1) = 2 × - 33 = - 66

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Find the measures of the numbered angles
inessss [21]

Answer:

angle 1 is 90 degrees because of the kite theorem:

THEOREM: If a quadrilateral is a kite, the diagonals are perpendicular.

angle 2 is 58 degrees because 180-90-32=58 degrees

Step-by-step explanation:

5 0
3 years ago
What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 3 units, and c = 6 units?
Gekata [30.6K]

Answer:

45 cubic units

Step-by-step explanation:

Vtotal = 1/2 (2.5*3) * 6 *2

where

2.5 is the base

3 is the height

6 is the length

2 is the number of prisms

5 0
1 year ago
Read 2 more answers
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Kay [80]

Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the <em>binomial distribution</em> 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 9 rolls, hence n = 9.
  • Of the six sides, 2 are 3 or 4, hence p = \frac{2}{6} = 0.3333

The desired probability is:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1)

Then

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

P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026

P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857

0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.

For more on the binomial distribution, you can check brainly.com/question/24863377

7 0
2 years ago
Someone please help I will give biranlyest to who ever is right.​
Hitman42 [59]

Answer:

A. cd4

Step-by-step explanation:

3 0
3 years ago
Solve x - 20 &gt; -15, and then graph the solutions. Use pencil and paper. Explain how
Artyom0805 [142]

Answer: x ≥ 6

Step-by-step explanation:

So 6 - 20 would equal -14 which is greater than -15 making it our inequality equal to or greater then 6

8 0
3 years ago
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