Answer:
a) T test
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Step-by-step explanation:
Construction of hypothesis
H₀ : p = 75
H₁ : p ≠ 75
Here Standard deviation = 7
sample = n = 50
Average = x-bar = 78
Level of significance:
∝ = 5% = 0.05
Degree of freedom:
df = n-1
= 50 -1 = 49
Critical value :
± 1.96
a) T test
test t is used as average X mean is used
Test Statistic:
t = X₂ - X₁ / Sd /√n
= 78 - 75 / 7/√50
=3.0304
Critical region :
We take two tail T test
test statistic is in reject interval. Reject H₀
b) Claim
because critical value is not equal to test statistic then reject null hypothesis
Hi there!
Since the slope of a line perpendicular to a line is always the negative inverse of that slope, you just switch the numerator and denominator around and add or omit the negative sign to the original slope.
The answer would be -2.
Hope this helps!
Answer:
5/39
Step-by-step explanation:
10divided by 78 is 10/78.
you can simplify it to 5/39
this is the simplest form
P - q = 8.....multiply by -1
2p - q = 19
----------------
-p + q = -8 (result of multiplying by -1)
2p - q = 19
---------------add
p = 11
now we sub 11 in for p in either of the original equations to find q
p - q = 8
11 - q = 8
11 - 8 = q
3 = q
so ur solution is (11,3)
Answer:
(d) (7, -5)
Step-by-step explanation:
The x-coordinate is listed first in an ordered pair. It is found on the horizontal scale. The point is on the grid line halfway between 6 and 8, so is presumed to have an x-coordinate of 7.
The y-coordinate is listed second in an ordered pair. It is found on the vertical scale. The point is on the grid line halfway between -4 and -6, so is presumed to have a y-coordinate of -5.
The coordinates of point A are (x, y) = (7, -5).
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<em>Additional comment</em>
As in the case here, you will often run across graphs that don't have markings on every grid line You are expected to be able to figure out the value of a grid line based on the spacing of the marked lines.
It is a good idea to get familiar with reading coordinates of a point on a graph, as you will be doing it a lot.