Answer:
y + 7 = - 
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = - and (a, b) = (1, - 7), thus
y - (- 7) = - (x - 1), that is
y + 7 = - (x - 1) ← in point- slope form
Answer:
z≈3.16
p≈0.001
we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Step-by-step explanation:
As a result of step 2, we can assume normal distribution for the null hypothesis
<em>step 3:</em>
z statistic is computed as follows:
z=
where
- X is the proportion of correct answers in the test (
) - M is the expected proportion of correct answers according to the null hypothesis (0.5)
- p is the probability of correct answer (0.5)
- N is the total number of questions in the test (40)
z=
≈ 3.16
And corresponding p value for the z-statistic is p≈0.001.
Since p<0.05, we reject the null hypothesis and conclude that the student knows more than half of the answers and is not just guessing in 0.05 significance level.
Answer:
y = 3/5 x+3
Step-by-step explanation:
two points on the graph
(-5,0) (0,3)
the y intercept is 3 (this is where it crosses the y axis)
the slope is
change in y 0 to 3 up 3
------------------ = -------------- = ------- = 3/5
change in x -5 to 0 right 5
we can tell the slope is positive because it goes from bottom left to top right
a negative slope goes from top left to bottom right
slope intercept form is
y=mx+b
y = 3/5 x+3
51, 53, 55, 57, 59. it's simple.
The two unknown sides are equal to each other so then the two unknown angles are also equal.
A triangle angles add up to 180
36 + 2x = 180
2x = 180 - 36
2x = 144
unknown angles x = 72°
draw line down center of triangle to make two right triangles with side 22/2 = 11. SOH CAH TOA
cos(72) = 11/H
H = 11/cos(72)
H = 35.6
perimeter = 22 + 2(35.6)
perimeter = 93.2 cm
answer E .
