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3 years ago

For all values of x, f(x) = x^2 + 1 and g(x) = x-5

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

Answer:

a) f g(x) = x³ - 5 x² + x -5

b) g(f(x) = x³ - 5 x² + x -5

Step-by-step explanation:

Step(i):-

Given that f(x) = x² + 1 and g(x) = x-5

f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26

Step(ii):-

a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5

b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5

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Consider the statistical study below and then

bagirrra123 [75]

Answer:

a) The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b) The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c) Experiment

Step-by-step explanation:

Rewriting for the sake of clarity

98 people who exercise regularly were given cognitive tests. It was discovered that those participants who were given a suggestion, their exercise habits might affect their performance on the test actually did worse on the test.

a. identify the population and the population parameter of interest,

In Statistics, Population is a Set under scrutiny.

The Parameter of a Population is any descriptive measure that helps to draw the Distribution curve. So in this case, it is fair to say that:

The population is all people who exercise regularly; population parameters are test scores for all, categorized by whether or not each individual was given a suggestion.

b. describe the sample and sample statistic for the study,

The sample is any subset within the Population.

The sample statistic might be any to measure in this case, the suggestion and see if there is any correlation between them and the results in what extent, etc. to deeper analyze it.

Then:

The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c. identify the type of study.

The statistical study here is an experiment since the 98 people were undergone to cognitive tests then their results were scrutinized.

6 0

3 years ago

Use the figure to the right to find the missing lengths of the triangle.

pychu [463]

To find AB(x) and BC(y), you can do(there are multiple ways you can do this):

tan A = $\frac{y}{7}$

tan 60° = $\frac{y}{7}$ or (tan 60°) · 7 = y

tan 60° = $\frac{\frac{\sqrt{3} }{2} }{ \frac{1}{2} } = \sqrt{3}$

√3 · 7 = y

7√3 cm = y

sin B = $\frac{7}{x}$

sin 30° = $\frac{7}{x}$ or $x= \frac{7}{sin 30}$

sin 30° = $\frac{\frac{1}{2} }{1}$ = $\frac{1}{2}$

x = $\frac{7}{\frac{1}{2} } = 14$

x = 14 cm

AB = 14cm

BC = 7√3 cm

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3 years ago

3.01 repeating as a mixed number in simplist form

ziro4ka [17]

Answer:

3 1/100 is the answer.

Step-by-step explanation:

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3 years ago

A coin is tossed and a single 6 sided number cube is rolled. Find the probability of landing on the heads side of the coin and r

Delicious77 [7]

Answer:

The probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

Step-by-step explanation:

Given:

Coin is tossed and a single 6 sided number cube is rolled.

Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.

Now, we know that:

Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes

Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.

So, probability of event 'H' is given as:

$P(H)=\dfrac{n(H)}{n(S)}\\\\P(H)=\frac{1}{2}=0.5$

Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is, $n(S)=6$

Now, probability of rolling a 3 is given as:

$P(R3)=\frac{n(R3)}{n(S)}\\\\P(R3)=\frac{1}{6}$

Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,

$P(H\ and\ R3)=P(H)\times P(R3)\\\\P(H\ and\ R3)=\frac{1}{2}\times \frac{1}{6}\\\\P(H\ and\ R3)=\frac{1}{12}=0.083$

Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.

Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.

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3 years ago

What is 2×2hhhhggggggggggggggg

TiliK225 [7]

Answer:

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Step-by-step explanation:

count how many "g"s there are and same with "h"

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3 years ago