Answer:
Step-by-step explanation:
The given equations are:
-9.5x – 2.5y = –4.3 (1)
and 7x + 2.5y = 0.8 (2)
Adding equation (1) and (2) together, we get
-9.5x-2.5y+7x+2.5y=-4.3+0.8
⇒-2.5x=-3.5
⇒x=1.4
Now, substitute the value of x=1.4 in equation (1),
-9.5(1.4)-2.5y=-4.3
⇒-13.3-2.5y=-4.3
⇒-13.3+4.3=2.5y
⇒-9=2.5y
⇒y=-3.6
Thus, the value of x and y are 1.4 and -3.6 respectively.
Multiple the cost of the water bottle ($2.75) then whatever you answer is, you subtract that from 18. She should have $12.5 left. The most bags of popcorn she could get is 3. Just add $3.50 until it’s closes to the amounts of money she has left.
Answer:
a) There is a 66.7% chance that you were given box 1
b) There is a 80% chance that you were given box 1
Step-by-step explanation:
To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.
a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.
Box 1 = 1/10
Box 2 = 1/2
From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%
b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.
Box 1 = 1/10^2 = 1/100
Box 2 = 1/20^2 = 1/400
As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%
A.All squares of 4 right angles
B.All parallelograms have 4 right angles
Step-by-step explanation:
12. Cos 60° = 8/c
0,5 = 8/c
0,5 c = 8
c = 16
D² = V16²-8²
= V256-64
=V192 = V16×12 = 4V12
= 4V4×3 = 8V3
13. Cos 30° = 6/b
V3/2 = 6/b
V3 b = 12
b = 12/V3
b/Sin B = a /sin A
b/Sin90° = 6/ sin 60°
<u>b</u> = <u> </u><u> </u><u> </u><u>6</u><u> </u><u> </u><u> </u>
1 V3/2
b× <u>V3</u> = 6
2
b = 6× 2/V3
= 12/V3
