Answer:
p=1
Step-by-step explanation:
Given that a day care program has an average daily expense of $75.00. The standard deviation is $5.00.
Sample size = 64
Std error of sample = 
Thus sample mean will follow normal with
(75, 0.625)
Required probability
=
It is almost a certain event with p =1
Answer: Option D :3.85 units.
Step-by-step explanation: Diameter is the longest chord of any circle . It is a straight line passing through the center of the circle and touches the circle at two points. Radius is a line drawn from the center of circle to the circumference. Radius is half of diameter.In the given figure the blue line is diameter .The diameter is the blue line which equals 7.7 units.Radius is half of diameter .Radius = 7.7÷2=3.85 units.
Option D is the right answer.
<span>4.13 (continues) is the answer</span>
Answer:
5 units
Step-by-step explanation:
Given:-
- The area of the circle was computed to be A = 78.5
- The value of π is estimated to be = 3.14
Find:-
What is the radius of the circle?
Solution:-
- The area of a circle (A) with radius ( r ) is computed by the following formula:
A = π*r^2
- Divide the equation by π :
r^2 = ( A / π )
- Take the square root of the entire equation:
r = √ ( A / π )
- Substitute the given values:
r = √ ( 78.5 / 3.14 )
- Resolve the fraction:
r = √25
- The perfect square root of 25
r = 5
Answer: The radius of the circle is r = 5 units
The question is incomplete:
Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?
10 weeks, $10
10 weeks, $310
9 weeks, $310
310 weeks, $10
Answer:
10 weeks, $310
Step-by-step explanation:
As the statement indicates, you have the following equations:
y=25x+60
y=30x+10
where:
y= the amount of money
x= the amount of time in weeks
You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:
25x+60=30x+10
60-10=30x-25x
50=5x
x=50/5= 10
After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:
-y=25(10)+60=310
-y=30(10)+10= 310
According to this, the answer is 10 weeks, $310.
