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:
Thus, the probability of selecting none of the correct six integers, when the order in which they are selected does rot matter is
Therefore, the probability is 0.35
Check the attached files for additionals
Answer:he would have paid $6,968.00
Step-by-step explanation:
5200x0.085=442. 42/12=4. 4x422=1768
1768+5200=6968
The decimal approximation for the trigonometric function sin 28°48' is
Given the trigonometric function is sin 28°48'
The ratio between the adjacent side and the hypotenuse is called cos(θ), whereas the ratio between the opposite side and the hypotenuse is called sin(θ). The sin(θ) and cos(θ) values for a given triangle are constant regardless of the triangle's size.
To solve this, we are going to convert 28°48' into degrees first, using the conversion factor 1' = 1/60°
sin (28°48') = sin(28° ₊ (48 × 1/60)°)
= sin(28° ₊ (48 /60)°)
= sin(28° ₊ 4°/5)
= sin(28° ₊ 0.8°)
= sin(28.8°)
= 0.481753
Therefore sin (28°48') is 0.481753.
Learn more about Trigonometric functions here:
brainly.com/question/25618616
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Answer:
153.94 is your answer.
Step-by-step explanation:
I believe it would be the last one, but let me explain. So to find the area of a circle with just the diameter, the formula would be 1
/4 π d2. Which is one fourth times pie, multiplied with the diameter to the second power. So if we put 14 in the equation would look like this 1/4*π*14*2. So if we use this formula, we get 153.94. Or something close to that. I hope this helps! Good luck!! ;)
Answer:
5.625 or 5-5/8 or 45/8
Step-by-step explanation:
Solve using Similar triangles again
ratio of 4:7.5
3/x=4/7.5 cross multiply
22.5=4x
x=22.5/4=5.625=5-5/8=45/8
