I can't seem to figure this one out, this is all the info that was given:

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

4a + 4

Step-by-step explanation:

f(x) = x² + 2

f(a) = a² + 2

f(a+2) = (a+2)² + 2

f(a+2) − f(a) = (a+2)² + 2 − (a² + 2)

f(a+2) − f(a) = a² + 4a + 4 + 2 − a² − 2

f(a+2) − f(a) = 4a + 4

You might be interested in

The Pythagorean Theorem can only be used with which type of triangle?

valkas [14]

Right triangle because a2 + b2 = c2

4 0

3 years ago

The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standar

Serggg [28]

Answer:

The 95% confidence interval is given by:

3.30<σ<8.76

Step-by-step explanation:

1) Data given and notation

s=4.798 represent the sample standard deviation

$\bar x$ represent the sample mean

n=10 the sample size

Confidence=95% or 0.95

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=10-1=9$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical values.