Answer:
20
Step-by-step explanation:
Given that: $3.25 in dimes and nickels were distributed among 45 boys.
1 nickel = $0.05
1 dime = $0.10
Let number of coins of dimes be x and the number of coins of nickel be 45-x.
Hence,
0.10x + 0.05(45-x)=3.25
0.10x+2.25-0.05x=3.25
0.05x=3.25-2.25
0.05x=1
x= 1/0.05
x=20
45-x
45-20=25
From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²
<h3>What is the Area of the Sector?</h3>
In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Read more about Area of Sector at; brainly.com/question/16736105
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Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
Answer:
The equation would be B) y = 5x + 17
Step-by-step explanation:
To start, you need to locate the slope of the first equation. Since the slope is the coefficient of x, we know it to be -1/5. Now, the perpendicular slope is the opposite and reciprocal of that, which makes the new slope 5.
Now that we have this, we can use the point and the slope in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 7 = 5(x + 2)
y - 7 = 5x + 10
y = 5x + 17
1 year= 12months
3 million years= 3,000,000*12months
=36,000,000 months