Answer:
50 times.
Step-by-step explanation:
Since the two coins are fair, each has a 1/2 chance of landing on heads. If both of them land on heads, that possibility would be 1/4 (1/2 * 1/2)
Because you are running the experiment 200 times, multiply 200 by 1/4:
200/4 = 50 times.
Hope this helps!
Answer:
B
Step-by-step explanation:
First label the equations.
6x +3y= 18 -----(1)
y= -2x +5 -----(2)
subst. (2) into (1):
6x +3(-2x +5)= 18
6x +3(-2x) +3(5)= 18 (expand)
6x -6x +15= 18
15= 18 (simplify)
(reject)
There is no solution.
<u>Further explanation</u><u>:</u>
If I rewrite the first equation into the form of y=mx+c, I would get
6x +3y=18
3y= 18 -6x (bring y term to one side)
y= 6- 2x (÷3 throughout)
y= -2x +6
Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.
Answer:
8.70%
Step-by-step explanation:
Percentage error = (difference between estimated value and actual value / actual amount spent) x 100
difference between estimated value and actual value = estimated value - actual amount
$250 - $230 = $20
($20 / $230) x 100 = 8.6957%
W^2+5w-66=0
Factor
(w+11)(w-6)=0
w+11=0
w=-11 (not possible - cant have negative length
w-6=0
w=6
L(6)=66
L=11
Width = 6
Length = 11
1. use sin
inverse of sin(44/57) = 50.5 ---> 51°
2. use tan
inverse of tan(6/8) = 36.8 ---> 37°
3. use cos
inverse of cos(20/31) = 49.8 ---> 50°
4. use sin
inverse of sin(37/58) = 39.6 ---> 40°