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:
X= 10
Step-by-step explanation:
let the vertex of angle 17° named A
then the other two B and C
then by using trigonometry:
sin(A) = opposite side divided by hypotenuse
opposite side is. X
Wich makes Sin(A) = X/47
then by crossing X= sin(A) × 47 = 13.74147
rounding to the nearest tenth: X= 10
I think A, C, D are right because of the 12 pairs of heels, 6 are black (6/12) That means half of them could be chosen and be black (0.5). Another way to write 0.5 is as a percentage, 50%.
Answer:
System of equations:
L = 5W + 7
2W + 2L = P
L = 62 cm
W = 11 cm
Step-by-step explanation:
Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.
The formula for perimeter of a rectangle is: 2W + 2L = P, where W = width and L = length. We also know that the L is '7 more than five times its width'. This can be written as: L = 5W + 7. Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:
2W + 2(5W + 7) = 146
Distribute: 2W + 10W + 14 = 146
Combine like terms: 12W + 14 = 146
Subtract 14 from both sides: 12W + 14 - 14 = 146 - 14 or 12W = 132
Divide 12 by both sides: 12W/12 = 132/12 or W = 11
Put '11' in for W in the equation for 'L': L = 5(11) + 7 or L = 55 + 7 = 62.
A constant is a number, or a letter that represents a number that
never changes. From the time the problem starts until as long
as it lasts, its value is constant.
A variable is a letter that stands for a number that can change.
A coefficient is each of the items in a group of them that are all
multiplied together.
Example: 17x + 4y
That's an expression with two terms.
The terms are '17x' and '4yz'.
In the first term:
'17' is the numerical coefficient.
'x' is the literal coefficient.
In the second term:
'4' is the numerical coefficient.
'y' and 'z' are both literal coefficients.
