Completely Factor 2n^2-23n+45=0

What is the length of bd

NikAS [45]

Answer:

B

Step-by-step explanation:

I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.

We need to find the positive difference in their x coordinates and y coordinates.

The difference in x coordinates: 7

The difference in y coordinates: 8

Now we can use the Pythagorean theorem:

7^2+8^2 = x^2

49+64 = x^2

113 = x^2

x = sqrt(113)

Therefore, the answer is B.

3 0

3 years ago

Solve for X <br><br>Explain if possible :)

sweet-ann [11.9K]

The two labeled angles are alternate interior angles, and as such, they are the same.

From this result you can build the equation

$15x-2 = 13x+2$

and solve it for x: subtract 13x from both sides to get

$2x-2=2$

and add 2 to both sides to get

$2x = 4 \implies x = 2$

Check: if we plug the value we found we have

$13\cdot 2 + 2 = 26+2 = 28 = 15\cdot 2 - 2 = 30-2$

So the angles are actually the same, as requested.

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.