You would cross multiply.
14 over 31.5
and X over 10.5
10.5 times 14 is 147
divide that by 31.5 which is 4 1/3
and that is how fast she can run
4 1/3 mph
About Slope Intercept Form:
- y = mx + b
- m represents the slope
- b represents the y-intercept or AKA the starting point
ABOUT PROBLEM:
- Since -3/2 is the slope, it represents m in Slope Intercept Form
- Since -5 is the y-intercept, it represents b in Slope Intrecept Form
y = mx + b
y = -3/2x + -5 --- IN Slope Intercept Form
Hope this helps you!!! :)
Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
Answer:
Step-by-step explanation:
Information provided
n=100 represent the random sample taken
X=21 represent the number of bags overfilled
estimated proportion of overfilled bags
is the value that we want to test
z would represent the statistic
Hypothesis
We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
And replacing the info given we got:
The product will be 40 I believe?
