Someone Please help me with this with Step by Step explanation.

Find the slope between 2 points. <br> (16, 12) (40,18)

WITCHER [35]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

In this question, we have to find the slope with the given coordinates.

To find our slope, we would use the slope formula: $m = \frac{y2-y1}{x2-x1}$

Plug in your coordinates and solve:

$m = \frac{18-12}{40-16}\\\\m=\frac{6}{24}$

Simplify the fraction:

$m=\frac{1}{4}$

The slope would be $\frac{1}{4}$

8 0

3 years ago

In the base 5 number system, which number comes after 444,444?

RSB [31]

I think it’s 555,555

3 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.

The excel commands would be: "=CHISQ.INV(0.025,9)" "=CHISQ.INV(0.975,9)". so for this case the critical values are:

$\chi^2_{\alpha/2}=19.022$

$\chi^2_{1- \alpha/2}=2.700$

And replacing into the formula for the interval we got:

$\frac{(9)(4.798)^2}{19.022} \leq \sigma \frac{(9)(4.798)^2}{2.700}$

$10.892 \leq \sigma^2 \leq 76.736$

Now we just take square root on both sides of the interval and we got:

$3.30 \leq \sigma \leq 8.76$

So the best option would be:

3.30<σ<8.76

7 0

3 years ago

The original price of a pair of shoes is $42 the sale price is 20% off their original price what is the amount of original price

Brrunno [24]

First you convert 20% into a decimal which is 0.2 and multiply that by 42 and you get 8.4, that's the discount. Then you subtract 8.4 from 42 and get $33.60 which is your answer. Hope this helps!!

3 0

3 years ago

Read 2 more answers

1.06 SINUSOIDAL GRAPH VERTICAL SHIFT <br> What is the period of the function f(x)=cos10x

stealth61 [152]

I got that question and the answer C

5 0

3 years ago

Read 2 more answers