Answer:
n≅376
So sample size is 376.
Step-by-step explanation:
The formula we are going to use is:

where:
n is the sample size
p is the probability of favor
q is the probability of not in favor
E is the Margin of error
z is the distribution
α=1-0.98=0.02
α/2=0.01
From cumulative standard Normal Distribution

p is taken 0.5 for least biased estimate, q=1-p=0.5

n≅376
So sample size is 376
Answer:
7:14 = 10:20
Step-by-step explanation:
Yes it can. It doesn't <em>have to be</em>, but it can be without too much trouble.
In fact, ALL rhombuses are quadrilaterals.
I got

What we know
cos a=-3/5.
sin b=12/13
Angle A interval are between 180 and 270 or third quadrant
Angle B quadrant is between 90 and 180 or second quadrant.
What we need to find
Cos(b)
Cos(a)
What we are going to apply
Sum and Difference Formulas
Basics Sine and Cosines Identies.
1. Let write out the cos(a-b) formula.

2. Use the interval it gave us.
According to the given, Angle B must between in second quadrant.
Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.
.




so our adjacent side is 5.
Cosine is adjacent/hypotenuse so our cos b=5/13.
Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,
.




so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so
sin a =-4/5.
Now use cosine difference formula



Hope this helps
Answer:
$0.24
Step-by-step explanation:
Given:
At full price, Melvin would pay for per liter of gasoline = $1.679
Using his loyalty card, Melvin only pays = $1.439
Question asked:
How much less does Melvin pay per liter using his loyalty card?
Solution:
At full price, Melvin would pay for per liter of gasoline = $1.679
Using his loyalty card, Melvin only pays = $1.439
To find that that how much less amount Melvin pay for per liter of gasoline using his loyalty card, we will subtract the payment using loyalty card from payment without using loyalty card.
$1.679 - $1.439 = $0.24
Therefore, $0.24 less amount Melvin pay for per liter of gasoline using his loyalty card.