Formula for distance between two points is
d∧2=(x2-x1)∧2+(y2-y1)∧2 in our case (x1,y1)=(k,q) and (x2,y2)=(0,0)
d∧2=(0-k)∧2+(0-q)∧2= k∧2+q∧2 => d=√(k∧2+q∧2)
Good luck!!!
One solution was found : t ≤ -13 (Last answer choice)
Pull out like factors :
-3t - 39 = -3 • (t + 13)
Divide both sides by -3
Remember to flip the inequality sign:
Solve Basic Inequality :
Subtract 13 from both sides to get t≤−13
The slope of line passing through the given points is: -1/2
Step-by-step explanation:
Given points are:
(x1,y1) = (-8,-1)
(x2,y2) = (-6,-2)
Slope is defined as the steepness of a line.
It is denoted by m.
The formula for slope is:

Putting the values

The slope of line passing through the given points is: -1/2
Keywords: Slope, steepness
Learn more about slope at:
#LearnwithBrainly
Answer:
$14
Step-by-step explanation:
35/20 = 1.75
8*1.75 = 14
Answer:
The 99% confidence interval would be given by (0.172;0.228)
Step-by-step explanation:
Previous concepts
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 means 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.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values given we got:
The 99% confidence interval would be given by (0.172;0.228)