Did two of them for you as reference for the rest.
Explanation for #1
The sum of all the angles in a triangle is 180. Simply add the given angles. Take 180 and subtract the sum of the given angles
180 - (58 + 47) = 75
Missing angle is 75
Explanation for #4
A straight angle is 180 degrees. Same thing as the first: add the given angles then take 180 and subtract it.
Then take 180 <em>again </em>and subtract the answer you got from the first step.
180 - (21 + 34) = 125
180 - 125 = 55
The missing angle is 55
Being male and preferring brand A are independent.
Because: if independent then P(male and brand A) = P(male) P(brand A) = 0.48 * 0.75 = 0.36 and that is true (= value in the table)
P(male|brand A)=0.36/0.75=0.48 = P(male)
So the two answers are:
(1) "independent"
(2) =
Answer:
D) As the gas mileage increases, the cost of driving a fixed distance increases.
Step-by-step explanation:
Hello!
Given the variables
X₁: Gas mileage of a car
X₂: Cost of driving 500 miles
Normally the variable that changes more is the gas mileage of the car, depending on the type of the car or the age of different cars from the same model and brand, the amount of gas used to cover a fixed distance varies.
From a logical point of view you'd expect that the more gas the car consumes, the more it will cost to drive a fixed distance. So the correct option is D)
Options:
A) As the gas mileage increases, the cost of driving a fixed distance decreases.
B) As the cost of driving a fixed distance increases, the gas mileage decreases.
C) As the cost of driving a fixed distance decreases, the gas mileage increases.
D) As the gas mileage increases, the cost of driving a fixed distance increases.
I hope this helps!
Answer:
Step-by-step explanation:
To find the first five terms
we come with a1
a(n) = a1 +(n-1)d
a(17) = a1 +(17-1)6=71
So a1=71-96= <u>-25 </u>
first five terms:
a1= -25
a(2) = -25 +(2-1)6=<u>-19</u>
a(3) = -25 +(3-1)6=<u>-13</u>
a(4) = -25 +(4-1)6=<u>-7</u>
a(5) = -25 +(5-1)6=<u>-1</u>
<u>hope it helps</u>
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