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otez555 [7]
4 years ago
10

For all the values of x, f(x) = 2x(squared) g(x) = x+1 solve fg(x)=gf(x)

Mathematics
1 answer:
bulgar [2K]4 years ago
3 0

Answer:

Value of x for fg(x)=gf(x) at <em>f(x) = 2x²</em> and <em>g(x) = x+1</em> is x = -1/4 .

Step-by-step explanation:

We have, f(x) = 2x² and g(x) = x+1

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

⇒ <em>2(x+1)² = 2x² + 1</em>

<em>⇒ 2( x² + 2x + 1 ) = 2x² + 1</em>

<em>⇒ 2x² + 4x + 2 = 2x² + 1</em>

<em>⇒ 4x = -1</em>

<em>⇒ </em><em>x = -1/4</em>

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The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp
alukav5142 [94]

Answer:

Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

A salaried employee makes $67,000 per year. To know which option is better, we need to calculate how much hourly employees make in year.

An hourly employee needs to work 44 hours a week (0+10+8+8+7+6.5+4.5 = 40). So the first 40 hours will be paid 25$ per hour and the next 4 will be paid $37.50 per hour. So an hourly employee will make $1150 a week (40*$25 + 4*$37.50 = $1150).

Considering that a month has 4 weeks, and a year has 12 months, an hourly employee will make $55,200 a year ($1150*4*12=$55,200).

An hourly employee makes $55,200 a year, while a salaried employee makes $67,000. So I would recommend the option c) to a new employee.

8 0
3 years ago
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The probability distribution histogram shows the number of trees in yards in a certain neighborhood.
Vilka [71]

Answer:

45%

Step-by-step explanation:

Here, we want to know the probability of a randomly selected yard having 6 or more than 6 trees

To get this, we simply add up the probability of 6 yards and above

That is the probability of 6, 8 , 10 and 12 yards

This is obtainable from the histogram

We then proceed to add up from the graph

What we have is;

0.05 + 0.25 + 0.10 + 0.05

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4 0
3 years ago
Company A makes a large shipment to Company B. Company B can reject the shipment if they can conclude that the proportion of def
boyakko [2]

Answer:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

Step-by-step explanation:

Information provided

n=400 represent the random sample taken

X=59 represent number of defectives from the company B

\hat p=\frac{59}{400}=0.1475 estimated proportion of defectives from the company B  

p_o=0.1 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of defectives is higher than 0.1 then the system of hypothesis are.:  

Null hypothesis:p \leq 0.1  

Alternative hypothesis:p > 0.1  

The statistic would be given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.1475-0.1}{\sqrt{\frac{0.1(1-0.1)}{400}}}=3.17  

The p value for this case would be given by:

p_v =P(z>3.17)=0.00076  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 0.1 and then Company B can reject the shipment

8 0
4 years ago
BRAINLIEEESSSSTTT!!!
kogti [31]
C is correct. So it’s asking given any whole number Squared you will get another whole number squared but in reality there are only a few numbers like that and they are called perfect squares(4 16 36 81 121)
3 0
3 years ago
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