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3 years ago

HELP OFFERING 50 points!!

Mathematics

1 answer:

expeople1 [14]3 years ago

4 0

Answer:

$f(g(x)) = 5x^{2} + 10x+ 5$

Step-by-step explanation:

Here, the given functions are:

$f(x) = 5x^2\\g(x) = x+1$

Now, (fg)(x) = f (g(x))

f(g(x))= f (x+1)

$\implies f(x+1) = 5(x+1)^2$

By ALGEBRAIC IDENTITY:

$(a+b)^2 = a^2 + b^2 + 2ab\implies (x+1)^2 = x^{2} + 1 + 2x$

So, $5(x+1)^2 = 5(x^{2} + 2x + 1) = 5x^{2} + 10x+ 5$

Hence, $f(g(x)) = 5x^{2} + 10x+ 5$

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Answer:

Step-by-step explanation:

3 0

2 years ago

The table shows the results of a survey of students in two math classes.

qwelly [4]

P(more than 1 hour of TV | 6th period class) is 0.352.

<h3>What is the probability?</h3>

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

To learn more about probability, please check: brainly.com/question/13234031

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1 year ago

13/15 - 1/4 = Please help me

podryga [215]

13/15-1/4

=52/60-15/60

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5 0

2 years ago

Read 2 more answers

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the re

stiks02 [169]

Answer:

The next time Mahnoor visits the restaurant, there is:

--31 % chance for country music

--47% chance of rock & roll

--22% chance of blues

Completed question;

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played. She found that the restaurant was playing country 11 times, rock & roll 17 times, and blues 8 times. Use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time Mahnoor walks in.

Step-by-step explanation:

Given;

The number of times they were playing each type of music;

Country = 11 times

Roll = 17 times

Blues = 8 times

Total visits of Mahnoor = 11+17+8 = 36

Developing a frequency table and probability model for the type of music the restaurant is playing the next time Mahnoor walks in.

Probability = number of favourable outcomes ÷ total number of outcomes.

Music played | Frequency | Probability

country | 11 | 11/36 = .31 or 31%

rock & roll | 17 | 17/36 = .47 or 47%

blues | 8 | 8/36 = .22 or 22%

6 0

3 years ago

Medical tests were conducted to learn about drug-resistant tuberculosis. Of 142 cases tested in New Jersey, 9 were found to be d

Andrei [34K]

Answer:

Step-by-step explanation:

Hello!

Sample 1 (New Jersey)

n₁= 142

x₁= 9

^ρ₁=9/142=0.063

Sample 2 (Texas)

n₂= 268

x₂= 5

^ρ₂= 5/268 = 0.0186 ≅ 0.019

Since what you need to test is if there is a significant difference between the proportions of drug-resistant cases in both states, the hypothesis are:

H₀: ρ₁-ρ₂=0

H₁: ρ₁-ρ₂≠0

α:0.20

The equation of the statistic is:

Z= (^ρ₁-^ρ₂)-(^ρ₁-^ρ₂)

√(^ρ(1-ρ)(1/n₁+1/n₂))

Where ^ρ= x₁+x₂

n₁+n₂

The calculated statistic is Z=2.2804

and the p-value= 0.0226

Since the p-value is less than the level of signification, you can reject the null hypothesis. This means that there is enough evidence to conclude that there is a significant difference between the proportion of drug-resistant tuberculosis in both states.

7 0

2 years ago