Answer:
Equation of the line:
.
Step-by-step explanation:
Let
and
denote the coordinates of these two points, respectively.
Calculate the slope
of this line:
.
Notice that the slope is zero because the two points have the same
-coordinates (
) even though their
-coordinates are distinct (
.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The
-term was eliminated because the slope was zero.
Answer:
-12
Step-by-step explanation:
Step1: Add 3 to both sides of the equation
2x -3 = 5x +6
+3 +3 = 9
Step2: subtract 5x from both sides of the equation
2x = 5x +9
-5 -5
Step3: divide both sides of the equation by the same term
-3x(/ -3) = 9(/-3)
<h3>X=-3</h3>
Step4: multiply -3 with 2
-3x2= -6
Step4: subtract -6 with 3
-6 - 3= -9
<h3>
Y=-9</h3>
Step5: add the -9 to -3
-9 + -3 = -12
ANSWER: -12
<h3>
</h3>
Using the t-distribution, it is found that the p-value of the test is 0.007.
At the null hypothesis, it is <u>tested if the mean lifetime is not greater than 220,000 miles</u>, that is:

At the alternative hypothesis, it is <u>tested if the mean lifetime is greater than 220,000 miles</u>, that is:
.
We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
For this problem:

Then, the value of the test statistic is:



We have a right-tailed test(test if the mean is greater than a value), with <u>t = 2.69</u> and 23 - 1 = <u>22 df.</u>
Using a t-distribution calculator, the p-value of the test is of 0.007.
A similar problem is given at brainly.com/question/13873630
Answer:
17.5
Step-by-step explanation:
The following data were obtained from the question:
Angle R = 105°
Side R = r
Side S = 15
Side T = 6
The value of r can be obtained by using cosine rule formula as shown below:
inding sides:
r² = s²+ t² – 2st cos(R)
r² = 15² + 6² – 2 × 15 × 6 × cos105°
r² = 225 + 36 – 180 × cos105°
r² = 261 + 46.587
r² = 307.587
Take the square root of both side
r = √307.587
r = 17.5
Therefore, the value of r is 17.5
(f+g)(x) is equivalent to f(x) + g(x)
So that would be (7x-3) + (x²-4x) = x² + 7x - 4x - 3 = x² + 3x - 3
Hope this helps.