Answer: Yes, there are enough popcorn for eight 9- ounce bags.
Step-by-step explanation:
Since we have given that
From Machine A,
Amount of popcorn in 3 minutes = 12.75
Amount of popcorn in 1 minute is given by
Amount of popcorn in 10 minutes is given by
From Machine B,
Amount of popcorn in 4 minutes = 18 ounces
Amount of popcorn in 1 minute is given by
Amount of popcorn in 10 minutes is given by
Total amount of popcorn is given by
Now, there are eight 9-ounce bags means 72 ounces
Since 87.5 ounces is greater than 72 ounces .
So, there are enough for eight 9-ounce bags.
SOH CAH TOA tells you
... cos(B) = a/c
... 4/5 = 8/c
... c = 10 . . . . . multiply by 5c/4
By the Pythagorean theorem,
... b = √c² -a²) = √(10² -8²) = √36 = 6
The lengths of the other two sides are: b = 6, c = 10.
_____
You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:
Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Answer:
definition, an arc subtended by a central angle of some given measure has the same measure.
Answer:
b
Step-by-step explanation:
hope this helps im not very sure tho
