Answer:
x = 109
Top Right Angle = 109
Bottom Right Angle = 71
Step-by-step explanation:
Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.
(x-38) + x + 90 + 90 = 360
2x + 142 = 360
2x = 218
x = 109
(x - 38) = (109 - 38)
71 degrees for bottom right angle
109 for top right angle
Answer:
We accept H₀ . We don´t have enough evidence to express the publisher claim is not true
Step by Step explanation:
We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher
n < 30 then we must use t - distrbution
degree of freedom n - 1 df = 22 - 1 df = 21
As the question mentions " different " that means, a two-tail test
At 0,01 significance level α = 0,01 α/2 = 0,005
and t(c) = 2,831
Test Hypothesis
Null Hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ ≠ μ₀
To calculate t(s)
t(s) = ( μ - μ₀ ) /σ/√n
t(s) = ( 433,50 - 385 ) / 86,92 / √22
t(s) = 2,6171
Comparing t(c) and t(s)
t(s) < t(c)
Then t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim
Ah! Inverse variation!
What divided by 2 is 8? 16
16 divided by what is 3
16/3
Vertex - The common endpoint of two rays at which an angle is formed.
Vertical Angles - Pairs of angles formed where two lines intersect.
9514 1404 393
Answer:
$3,840
Step-by-step explanation:
The interest formula can be rearranged to find the principal amount.
I = Prt
P = I/(rt) = $768/(.04·5)
P = $3,840
They originally borrowed $3,840.
