Answer:
0.7262
Step-by-step explanation:
Let random variable = X
Probability of getting a cookie with at least 55 chips:
P(55≤ X ≤78), where X1 = 55 and X2 = 78
Let mean, U = 66 and standard deviation, S.D. = 10
Let Z = X - U/S.D; Z1 = X1 - U/S.D and Z2 = X2 - U/S.D
Z1 = 55 - 66/10 = - 1.1
Z2 = 78 - 66/10 = 1.2
P(X1≤ X ≤ X2) = P(X1 -U/S.D ≤ X - U/S.D ≤ X2 - U/S.D)
P(Z1 ≤ Z ≤ Z2) = P(0 ≤ Z ≤ Z1) + P(0 ≤ Z ≤ Z2)
Hence, (55 ≤ X ≤ 78) = P( - 1.1 ≤ Z ≤ 1.2)
∴ P(-1.1 ≤ Z ≤ 1.2) = P(0 ≤ Z ≤ 1.1) + (0 ≤ Z ≤ 1.2)
= 0.3413 + 0.3849 = 0.7262
Answer:
The center of the circle is (13.4, - 2.6).
Step-by-step explanation:
Circle:
- The diameter of a circle is 2 times of its radius.
- The area of a circle is
, where is the radius of the circle.
- The circumference of a circle is
, where r is radius of the circle.
We know that,the equation of circle is in the form
where 
is the center of the circle and r is the radius of the circle.
Given equation of circle is
The center of the circle is (13.4, - 2.6).
The radius of the given circle is 
units=10 units.
3 x 2 is 6. 6 x 5 is 30.. There you go, the answer is 30.
33 degrees
If it rises 33 degrees per hour, in one hour it would raise by that much :)
The formular which can be used to obtain the monthly charges as a function of the number of cheques written is 9.75 + 0.15x
Charges on account :
- Charge per check written = $0.15
- Monthly services charge = $9.75
The total amount charged monthly, F as a function of the number of cheques written, x can be expressed thus :
Monthly service charge + (charge per check × number of cheques written)
F(x) = 9.75 + 0.15x
Therefore, the charge function which can be used to calculate the total monthly charge on his account ls F(x) = 9.75 + 0.15x
Learn more : brainly.com/question/18405415
