Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= 
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be 
: "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P()= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P()= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!
The answer is to this question is 4.45m^2 16ft*3ft
Answer:
2x + 5y = - 15
Step-by-step explanation:
The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is 
.
Now, we have to arrange this in the standard form.
So,
⇒ 5(y + 7) = - 2(x - 10)
⇒ 5y + 35 = - 2x + 20
⇒ 2x + 5y = - 15 (Answer)
Mary will need 27 yards of fencing to enclose her garden. She has 90 square yards for planting.
<h3>
Answer: Choice D. 12,600 feet</h3>
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Explanation:
We have two similar triangles here, so we can set up the proportion below to solve for x
5200/(5200+6500) = 5600/x
5200/11700 = 5600/x
5200x = 11700*5600 .... cross multiply
5200x = 65,520,000
x = (65,520,000)/(5200)
x = 12,600 which shows why the answer is choice D
side note: 12,600 ft = 2.386 miles approximately
