Step-by-step explanation:
Let the number be x
2 more than a number = x + 2
You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
Y+8 = -3(x-7)
Distribute the -3
y +8 = -3x +21
Subtract 8 from both sides
Y = -3x +21 -8
Y= -3x+13
Answer:
99% CI for the intercept (b₀) [173.29; 1172.01]dollars
Step-by-step explanation:
Hello!
You have the information of two variables
Y: price of a bycicle (dollars)
X: Weight of a bycicle (kilograms)
The estimated regression equation is
^Y= 672.65 - 1.56X
(191.4) (0.28)
Assuming that 191.4 is the estimated standard deviation of the intercept and 0.28 corresponds to the estimated standard deviation of the slope. The statistic you can use to estimate the intercept is a student's t.
99% CI for the intercept (b₀):
b₀ ± tₙ₋₂;1-α * Sb₀
tₙ₋₂;1-α= t₁₄₈;₀.₉₉₅= 2.609
672.65 ± (2.609*191.4)
[173.2874; 1172.0126]dollars
I hope it helps!
Let's assume m represent the mileage of the car.
Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.
So, the total charge for this agency = 33 + 0.20m.
Similarly total charge of the ultimo car = 17 + 0.85m.
Now we need to find the daily mileage for which the ultimo charge is four times the primo charge . So, we can set up an equation as following:
17 + 0.85m = 4 *( 33 + 0.20m )
17 + 0.85m = 132 + 0.80m By distribution property.
17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.
17 + 0.05m = 132
17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.
0.05m = 115
Divide each by 0.05.
So, m = 2300
Hence, the daily mileage is 2300 miles.
Hope this helps you!
