The probability that student scored more than 850 we shall proceed as follows:
z=(x-μ)/σ
where:
x=850
μ=750
σ=50
thus
z=(850-750)/50
z=2
thus
P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228
Answer: P(x>850)=0.0228
Y= <span><span><span>−25
--------- x
8
H
O
P
E
THIS HELPS!</span></span></span>
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:

The probability now that she will take a red cube is 0.5. So,





Divide both sides by 0.5.


It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:

Probability of getting a yellow cube is:


Therefore, the required probability is
.
Answer:
Area = PI * radius^2
radius = Sq Root (Area / PI)
radius = Sq Root (78.5 / PI)
radius = Sq Root (24.9873260654)
radius = 4.9987
radius = 5 (rounded)
Step-by-step explanation: