9514 1404 393
Answer:
8 units
Step-by-step explanation:
Displacement is the area under the velocity curve. The area of interest is in the shape of a trapezoid, so we can use the formula ...
A = (1/2)(b1 +b2)h
to find the area.
Here, b1=3, b2=1, h=4, so the area is ...
A = (1/2)(3 +1)(4) = 8
The displacement is 8 units in the time from t=1 to t=4.
Answer:
The z statistic is 0.23.
Step-by-step explanation:
Test statistic (z) = (sample mean - population mean) ÷ sd/√n
sample mean = 104 mg
population mean (mu) = 100 mg
sd = 55 mg
n = 10
z = (104 - 100) ÷ 55/√10 = 4 ÷ 17.393 = 0.23
To find the area of the triangle, you will need to know the length of the base and there length of the height.
You can find both of these by using the circles that are given.
If the total length of the circles is 35 cm, then each circle has a length of 7 cm. If these are circles, then each circle has a height of 7 cm also.
A = 1/2 x b x h
1/2 x (4x7) x (2x7)
A = 196 square cm
9514 1404 393
Answer:
162 degrees
Step-by-step explanation:
Angles P and F are supplementary, so ...
3x^2 +12x = 180
x^2 +4x = 60
x^2 +4x -60 = 0
(x +10)(x -6) = 0
The useful value of x that makes this true is x=6.
The measure of angle Q is 3x, so is 3·6 = 18 degrees. The measure of angle S is the supplement to that:
∠S = 180° -18° = 162°
