Since Emily is walking at a constant speed, we can solve this using proportions, equating ratios of distance/time.
The first ratio is 3/4 miles/1/4 hour
The second ratio is 1 mile/ x hour
Equating the two ratios: 3/4 / 1/4 = 1/x
3 = 1/x
x = 1/3 hour
Answer:
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
Step-by-step explanation:
Here in this question, we want to state what will happen if the null hypothesis is true in a chi-square test.
If the null hypothesis is true in a chi-square test, discrepancies between observed and expected frequencies will tend to be small enough to qualify as a common outcome.
This is because at a higher level of discrepancies, there will be a strong evidence against the null. This means that it will be rare to find discrepancies if null was true.
In the question however, since the null is true, the discrepancies we will be expecting will thus be small and common.
Answer:
Step-by-step explanation:
a). There are 8 points in the figure attached.
b). There are 9 lines in the given figure.
c). There are 5 planes in the figure attached.
d). Three collinear points are D,G and F.
e). Four co-planar points are G, F, H and C.
f). Intersection of planes ABC and ABE is the common line AB.
g). Intersection of planes BCH and DEF is the common line EF.
h). Intersection of AD and DF is a point D.
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Answer:
1
Step-by-step explanation:
2#&&#&÷&7*÷**#*×*×*÷(×(×¥=111
