Answer:
w
Step-by-step explanation:
w
Answer:
20 games
Step-by-step explanation:
Let
x ----> total games played this season
we know that
12 games represent 60% of the games they have played this season
so
using proportion
Find out how many games represent a percentage of 100%
![\frac{12}{60\%}=\frac{x}{100\%}\\\\x=12(100)/60\\\\x=20\ games](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B60%5C%25%7D%3D%5Cfrac%7Bx%7D%7B100%5C%25%7D%5C%5C%5C%5Cx%3D12%28100%29%2F60%5C%5C%5C%5Cx%3D20%5C%20games)
Complete Questions:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers.
a. 40
b. 48
c. 56
d. 64
Answer:
a. 0.35
b. 0.43
c. 0.49
d. 0.54
Step-by-step explanation:
(a)
The objective is to find the probability of selecting none of the correct six integers from the positive integers not exceeding 40.
Let s be the sample space of all integer not exceeding 40.
The total number of ways to select 6 numbers from 40 is
.
Let E be the event of selecting none of the correct six integers.
The total number of ways to select the 6 incorrect numbers from 34 numbers is:
![|E| = C(34,6)](https://tex.z-dn.net/?f=%7CE%7C%20%3D%20C%2834%2C6%29)
Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is
![P(E) = \frac{|E|}{|S|}](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%5Cfrac%7B%7CE%7C%7D%7B%7CS%7C%7D)
![= \frac{C(34, 6)}{C(40, 6)}\\\\= \frac{1344904}{3838380}\\\\=0.35](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7BC%2834%2C%206%29%7D%7BC%2840%2C%206%29%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1344904%7D%7B3838380%7D%5C%5C%5C%5C%3D0.35)
Therefore, the probability is 0.35
Check the attached files for additionals
Answer:
88.02 ft/s
Step-by-step explanation:
Angle with the horizontal, θ =25°
Initial velocity, v = 60 mph
1 mph = 1.467 ft/s
60 mph = 60 × 1.467 ft/s = 88.02 ft/s
Vertical component, v sin θ = 88.02 sin 25° = 37.2 ft/s
Horizontal component, v cos θ = 88.02 cos 25°= 79.8 ft/s
Answer:
7/30
Step-by-step explanation:
The difference means subtracting so 14/15 - 7/10 = 7/30 or decimal form is 0.23