Answer:
Probability that the person preferred milk as his or her primary drink = 0.3
Step-by-step explanation:
Given -
In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast .
Total no of people is = 18 + 29 + 13 = 60
If a person is selected at random ,
The probability of person preferred milk = ![\frac{18}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B60%7D)
The probability of person preferred coffee = ![\frac{29}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B29%7D%7B60%7D)
The probability of person preferred juice = ![\frac{13}{60}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B60%7D)
Probability that the person preferred milk as his or her primary drink =
P ( milk ) = ![\mathbf{\frac{No\;of\;favourable\;outcomes}{total\;no\;of\:outcomes}}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cfrac%7BNo%5C%3Bof%5C%3Bfavourable%5C%3Boutcomes%7D%7Btotal%5C%3Bno%5C%3Bof%5C%3Aoutcomes%7D%7D)
=
= 0.3
Answer:
19.4 feet
Step-by-step explanation:
When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.
- Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
- Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
- Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.
Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.
We set up the equation
.
We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. ![sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\](https://tex.z-dn.net/?f=sin%20%2868%29%20%3D%20%5Cfrac%7B18%7D%7Bh%7D%5C%5Chsin%20%2868%29%20%3D%20%5Cfrac%7B18%7D%7Bh%7D%2Ah%5C%5Chsin%20%2868%29%20%3D%2018%5C%5C%5Cfrac%7Bhsin%20%2868%29%7D%7Bsin%20%2868%29%7D%20%3D%5Cfrac%7B18%7D%7Bsin%20%2868%29%7D%20%5C%5C)
And finally we have
. We input to calculator.
![h=\frac{18}{0.92718} \\h=19.4 feet](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B18%7D%7B0.92718%7D%20%5C%5Ch%3D19.4%20feet)
See the attached picture below showing the shore with the boat out at sea and the position of the person.
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
Answer:
1) solution is y = -7
2.) DNE
3.) Solution is y = -2
Step-by-step explanation:
1.) 2+3 = y + 12
Add the LHS and make y the subject of formula
5 = y + 12
Y = 5 - 12
Y = - 7
The solution of the equation is - 7
2.) 2 + 13 = 1 +8
Since there is no unknown variable and the sum of the numbers in the left hand side ( LHS ) is not equal to the sum of the numbers in the right hand side ( RHS ), it will be concluded that there is no solution in the equation.
3.) y - 7 = 2 - 11
Sum the RHS and make y the subject of formula
Y - 7 = -9
Y = -9 + 7
Y = -2
The solution of the equation is -2
6 and 10 because 6 times 10 is 60 and 6 plus 6 plus 20 plus 10 is 32