Let the unknown angle be x.
That is
sin x = 4/5
cos x = 3/5
By drawing a right triangle in the first quadrant,
hypotenuse = 5
Adjacent side = 3
opposite side = 4
That is tan x = 4/3
From the calculator,
x = arctan(4/3) = 53 deg (nearest integer)
Answer: 53 deg. (nearest integer)
Answer:
$0.50
Step-by-step explanation:
Each trip transports 50 packs at 12 kg each, for a total of 600 kg. That trip nets $300 in income.
Lennox gets paid ($300)/(600 kg) = $0.50/kg, or 50¢ for 1 kg of apples
Answer:
7 over 10 and 7,10
Step-by-step explanation:
Answer:
9 burritos
Step-by-step explanation:
We can use ratios to solve
8 cups 12 cups
---------- = -----------------
6 burritos x burritos
Using cross products
8x = 6*12
8x = 72
Divide by 8
8x/8 =72/8
x = 9
9 burritos
we know that
The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.
The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.
If the probability that any one egg has 1/6 chance of salmonella
then
the probability that any one egg will not have salmonella = 5/6.
Therefore
for all 5 to not have salmonella
= (5/6)^5 = 3125 / 7776
= 0.401877 = 0.40 to 2 decimal places
REMEMBER this is the probability that NONE have salmonella
Therefore
the probability that at least one does = 1 - 0.40
= 0.60
the answer is
0.60 or 60%
