Answer:
4
Step-by-step explanation:
She can use a dime and a quarter to buy one package. With 3 dimes and more than 3 quarters, she can buy 3 packages this way.
She can use 2 nickels and a quarter to buy one package. With 2 nickels and the 2 remaining quarters, she can buy 1 package this way.
Mae-Ying can buy 4 packages, and will have 1 quarter left over.
_____
You can add up her money and divide by 35¢ to find the number of packages. Doing that, you get ...
5·0.25 +3·0.10 +2·0.05 = 1.25 +0.30 +0.10 = 1.65
Then 1.65/0.35 ≈ 4.71, so Mae-Ying can buy 4 packages with the money she has.
Use the formula for the conditional probability:
Consider such events
A - a senior takes the bus to school every day;
B - a senior has a driver’s license,
then
,
and
In percent this is nearly 17%.
Answer: correct choice is B.
Answer:
1. 0, 2 π , π , 2 π/3 , 4 π/3
2. 7 π/6 , 11 π/6
Step-by-step explanation:
1. we want to find the value of theta
Let us represent theta by x for ease of documentation
So we have ;
sin 2x + sin x = 0
Mathematically;
sin 2x = 2sinxcosx
So;
2 sin x cos x + sin x = 0
sin x (2 cos x + 1) = 0
sin x = 0
or
2cos x + 1 = 0
x = arc sin (0)
within the given range;
x = theta = 0 , 2 π , π
For;
2 cos x + 1 = 0
2cos x = -1
cos x = -1/2
cos x = -0.5
x = arc cos (-0.5)
x = 2 π/3 , 4 π/3
2. cos 2 x = 1 + sin x
Mathematically;
cos 2 x = 1-2 sin^2x
let sin x = y
1-2y^2 = 1 + y
y = -2y^2
1 = -2y
y = -1/2
y = -0.5
sin x = y
sin x = -0.5
x = arc sin (-0.5)
x = 7 π/6 , 11 π/6
Percent = part/whole
It wants you to find the % of change so it's 3.25 / 3.75
And that comes out to be 0.86 (with the 6 repeating)
So you move the decimal over 2 places to find the percent.
And then it's 1 - Ans
The answer is 13.33%
Answer:
b/c+30
Step-by-step explanation:
