Answer:
The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.
Step-by-step explanation:
We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.
Let X = <u><em>Number of hits made by a baseball player</em></u>
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 7 at-bats
r = number of success = exactly 2 hits
p = probability of success which in our question is batting average
of a baseball player, i.e; p = 0.25
SO, X ~ Binom(n = 7, p = 0.25)
Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)
P(X = 2) =
=
= <u>0.3115</u>
Answer:
96
Step-by-step explanation:
The loan duration is for 8 years, a total of 12·8 = 96 monthly payments. The 96th payment is the balloon payment.
Answer:
Step-by-step explanation:
Volume of cylinder:

<u>Bottom cylinder:</u>
1 inch = 2.54 cm
diameter = 14 in
r = 14/2 = 7 in
r = 7 *2.54 = 17.78 cm
h = 4 in = 4*2.54 = 10.16 cm
Volume = 3* 17.78 * 17.78 * 10.16
= 9635.59 in³
<u>Upper cylinder:</u>
diameter = 12 in
r = 12/2 = 6in
r = 6*2.54 = 15.24 cm
h = 12 in = 12*2.54 = 30.48 cm
Volume = 3 * 15.24 *15.24 * 30.48
= 21237.63 in³
Volume of the object = 9635.59 + 21237.63
= 30873 cm³
Answer:
Radius: 19 yards
Diameter: 38 yards
Circumference: 119. 32
Step-by-step explanation:
Radius
To find the radius you divide the diameter by 2 because, the diameter is a; a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
So 38 ÷ 2 = 19
So the radius is 19.
_____________________
Circumference
To find the Circumference you need to do 2·π·19
C=2·π
2·π = 6.28
6.28 · 19 = 119. 32
Circumference is 119. 32
Answer:
The first option .
Step-by-step explanation:
m must not be zero