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defon
2 years ago
9

If f(x) = 2x - 5 , Find f(3). Substitute 3 for x then type your final answer.

Mathematics
2 answers:
Savatey [412]2 years ago
5 0

Answer:

f(3)=1

Step-by-step explanation:

take f(x)=2(x)-5

put a three wherever you see an x in parentheses

f(3)=2(3) - 5

simplify

f(3)=6-5

simplify

f(3)=1

answer:f(3)=1

mr_godi [17]2 years ago
5 0

Answer:

f(3) = 1

Step-by-step explanation:

You substitute 3 for x.

f(3) = 2(3) - 5

Multiply the 2 terms.

f(3) = 6 - 5

Subtract.

f(3) = 1

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Evaluate each expression for the given values of the variable: 8z + 3;z = 8
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Answer:

67

Step-by-step explanation:

8z + 3

Let z =8

8*8+3

64+3

67

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s
Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

H_o: \mu = 178

Alternative hypothesis:

H_1: \mu \neq 178

The t-test statistics is determined by using the formula:

t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}

t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}

t = \dfrac{-0.5}{\dfrac{2}{5}}}

\mathbf{t= -1.25}

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

5 0
3 years ago
Eric paints 8 rooms in 3 days for 600$ about how many rooms could Eric paint in 6 days?
Marianna [84]

Answer:

16 rooms

Step-by-step explanation:

8 0
3 years ago
The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b
ANEK [815]

Answer:

P(\bar X

And we can solve this using the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(63.6,2.5)  

Where \mu=63.6 and \sigma=2.5

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We want this probability:

P(\bar X

And we can solve this using the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

4 0
3 years ago
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