There are two exterior angles at each vertex of a triangle, and these angle measures always add to 180°.

PLEASE HELP AS SOON AS POSSIBLE THANK YOU!!

nataly862011 [7]

Answer:

We know that when x= -10, y= -17.

So, if we put those into direct variation "y=kx", we get

-17= k(-10)

k = -17 / -10

Now we put the value of "k" into the formula and we get A (y= 17/10x )

7 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

Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour

klemol [59]

We know that speed * time = distance

Before we start we need to make sure the units for all three numbers are right

The time is 1/3 of a hour, 1/3*60 = 20 minutes

x * 20 = 22.5

x *2 * 10 = 22.5

2x = 2.25

x = 1.125

4 0

3 years ago

Read 2 more answers

What is the equation for the kind of reflection?

andre [41]

Answer:

A vertical reflection is given by the equation y=−f(x) y = − f ( x ) and results in the curve being “reflected” across the x-axis. A horizontal reflection is given by the equation y=f(−x) y = f ( − x ) and results in the curve being “reflected” across the y-axis.

4 0

2 years ago

Let u=<-5,1>, v=<7,-4> find 9u-6v

katrin2010 [14]

9u -6v = 9<-5, 1> -6<7, -4>
.. = <9*-5 -6*7, 9*1 -6*-4>
.. = <-87, 33>

8 0

3 years ago

Read 2 more answers