Answer:
it's ¢.34
Step-by-step explanation:
a gallon has 16 cups
since there are two gallons that's 32
the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.

Answer:
0.024
Step-by-step explanation:
Sample size (n) = 146 people
The proportion (p) of people who answered that they would be interested in seeing the show again is:

The standard error for a sample of size 'n' and proportion 'p' is:

The standard error for the sample proportion of audience members who want to see the show again is 0.024.
Answer: 188 children and 200 adults were admitted
Step-by-step explanation:
Let x represent the number of children that were admitted.
Let y represent the number of adults that were admitted.
On a certain day, 388 people entered the park. It means that
x + y = 388
The admission fee at the amusement park is $2.00 for children and $6.80 for adults. The admission fees collected on that day totaled $1736. It means that
2x + 6.8y = 1736- - - - - - - - - - 1
Substituting x = 388 - y into equation 1, it becomes
2x + 6.8y = 1736
2(388 - y) + 6.8y = 1736
776 - 2y + 6.8y = 1736
- 2y + 6.8y = 1736 - 776
4.8y = 960
y = 960/4.8
y = 200
x = 388 - y = 388 - 200
x = 188
-8/9÷1/6
To divide by a fraction, multiply by its reciprocal.
- 8/9*6
Cancel common factor of 3
- 1×8/3=2/1
-8/3=2/1
Simplify to get
- 16/3