Sin(angle) = opposite leg / hypotenuse
Sin(45) = Opposite leg / 28
Opposite Leg = 28 * Sin(45)
Opposite Leg = 14 SQRT(2) = 19.8
Answer:
1. 16 cups
2. 8 pints
Step-by-step explanation:
In this question, we are asked to calculate the amount of cups of juice made from a certain gallon and the amount left in pints after some certain amount of the juice was consumed.
To solve this problem, we need to know the amount of cups present in a gallon of juice.
Mathematically, there are 16 cups present in a gallon. Now since she made two gallons, the amount of cups present is thus 16 * 2 = 32 cups of juice
2. 16 cups was consumed by the family. The amount of cups left is thus 32 - 16 = 16 cups of juice
We need our answer in pints however.
Mathematically, 1 pint is composed of 2 cups.
This means 16 cups would be composed of 16/2 pints = 8 pints
Answer:
9) y = -3x - 4
10) y = -1/3x + 14/3
11) y = x - 1
12) y = -7/5x - 18/5
13) y = 3/5x + 9/5
14) y = -2x - 3
Step-by-step explanation:
For this explanation, let's use the last problem as the example. You would use the formula y=mx+b. The first thing you would need to find would be the slope, or m. So, you would find the slope and conclude the answer is -2. After that, you would solve for b and get the answer. Hope this helped!
Answer:
The correct option is option c.
H0: p not equal to 0.5
H1: p equal to 0.5
Step-by-step explanation:
1. H0: p not equal to 0.5
H1: p equal to 0.5
2. P cap = 104/ 260
P cap = 0.4. ( where p cap is the sample proportion)
3. Find the test statistic
Using : Z = ( p cap - p) /√ [(p ×q)/n] where p = 0.5 q= 1-p = 0.5. n=260
Z = -3.23
4. P value = 0.006
5. Since p value is less than the alpha level (0.01) . we reject the null hypothesis and conclude that the touch therapists are not effective.