Answer:
The radius of the circle is 36
x = 36
Step-by-step explanation:
Area of sector formula is:

Given
, and area (A) is
, we substitute and solve for r:

Thus,
The radius of the circle is 36
x = 36
Answer: first option 0 to 30 minutes.
Jusitification:
Interpolation is the prediction of an intermediate value using a linear model.
In this case, she has the data for 0, 5, 10, 15, and 30 minutes.
So, she can interpolate between any pair of consecutive data to find an intermediate value.
For example: i) if she wants the value for 20 minutes, she can interpolate between 15 and 30 minutes, ii) if she wants the value for 7 minutes, she can interpolate between 5 and 10 minutes, iii) if she wants the value for 12 mintues, she will interpolate between 10 and 15 minutes.
Answer:
70
Step-by-step explanation:
ok, so since you want to find out what the profit is, first you take the times you won and multiply the amount you got for winning so 50*2=100. now that you have 100 you take the money you spent and multiply it by the number of times you played the game so 20*3=30. now that you have those you have everything you need to finish the question. you take the amount you spent per play (30) and subtract it from what you won (100). 100-30=70
Answer:
Step-by-step explanation:
We need to evaluate if thickness of a 10 gauge metal sheet is a requiered in the process that means 3.416 mm thick. So that should be our null hypothesis; μ₀ = 3.416 and based on sample data, we will formulate an alternative hypothesis taking into account the mean, and standard deviation obtained. We surely will have better information to take a decision
Answer:
1). Mean = 2.275
2). Median = 2 vehicles
Step-by-step explanation:
From the given table,
Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.
0 11 0 11
1 52 52 63
2 66 132 129
3 35 105 164
4 19 76 183
5 12 60 195
6 5 30 200

Number of households = 200
Mean = 
= 
= 2.275
Median = value of
observation
= value of
observation
= Value of 100.5th observation
= Since 100.5th observation lies in the row of cumulative freq. = 129
= 2
Therefore, median number of registered vehicles per California household
= 2 vehicles