Answer:
9.8
Step-by-step explanation:
<em>updated</em>
9^2=x^2+4^2
9*9=x*x+4*4
81=x*x-16
+16. +16
97=x*x
√97=√x*x
√97=x
So the answer is √97, but the question wants it rounded so it's actually 9.8
The translation is right 5, down 1, AKA (x+5, y-1). The original coordinate of the point given is (-8,-3). Use the same translation so ((-8 + 5), (-3 - 1)) = (-3,-4)
Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is
since we want to check if the new model has improved the warranty rate, we can express it like this:
since are equivalent expressions.
And the alternative hypothesis should be the complement:
Null hypothesis:
or 
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
The alternative way should be:
Null hypothesis:
Alternative hypothesis:
Answer:
x = 63°
y = 45°
z = 72°
Step-by-step explanation:
<u>Points to remember</u>
1). Opposite angles of a parallelogram are equal
2). Adjacent angles of a parallelogram are supplementary
3). Sum of angles of a triangle is 180°
<u>To find the measures of given angles</u>
ABCD is parallelogram.
m<C = m<C = x = 63°
Consider triangle ABD
m<A + m< B + m<D = 180
x + 72 + y = 180
y = 180 - ( 72 + x) = 180 - 135
y = 45°
Also y + z + m<C = 180
45 + z + 63 = 180
z = 180 - 108
z = 72°
3.1/5 = 0.62 divide 5 into the 3 =0 divide 5 into 31 =6 bring down the 1add a zero
divide 5 into 10 = 2 answer is 0.62