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Lena [83]
2 years ago
15

Find f(-9) when f(x) = |x|- 6.

Mathematics
2 answers:
vivado [14]2 years ago
7 0

Answer:

3

Step-by-step explanation:

F(x)= f(-9) meaning x is -9.

When -9 is in absolute value is negative it turns into positive because anytime it it absolute it will turn any number postitive. so the equation turns into 9-6=f(x) which is 3.

san4es73 [151]2 years ago
6 0

Answer: f(x) = 3

Step-by-step explanation:

f(x) = |-9| - 6

f(x) = 9 - 6

f(x) = 3

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there are 16 3/8s in 6

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How many ounces are in a 12 lb bag of potatoes​
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3 years ago
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
ohaa [14]

Answer:

Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484

Standard deviation = √(0.1484/6

s = 0.16

Standard error = s/√n = 0.16/√6 = 0.065

Part B

Confidence interval is written as sample mean ± margin of error

Margin of error = z × s/√n

Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5

Therefore, z = 3.365

Margin of error = 3.365 × 0.16/√6 = 0.22

Confidence interval is 2.48 ± 0.22

Part C

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 2.3

For the alternative hypothesis,

H1: µ > 2.3

This is a right tailed test

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 6

Degrees of freedom, df = n - 1 = 6 - 1 = 5

t = (x - µ)/(s/√n)

Where

x = sample mean = 2.48

µ = population mean = 2.3

s = samples standard deviation = 0.16

t = (2.48 - 2.3)/(0.16/√6) = 2.76

We would determine the p value using the t test calculator. It becomes

p = 0.02

Assuming significance level, alpha = 0.05.

Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.

Step-by-step explanation:

7 0
3 years ago
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sertanlavr [38]

Answer:

An odd number is an integer when divided by two, either leaves a remainder or the result is a fraction. One is the first odd positive number but it does not leave a remainder 1. Some examples of odd numbers are 1, 3, 5, 7, 9, and 11. ... If an even number is divided by two, the result is another integer.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Pls answer 3/ 5 + 2 = 2 /3
Zinaida [17]

Answer:

3/5+2 does not equal 2/3

Step-by-step explanation:

Hope this helps!

4 0
2 years ago
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