33/14 =2 5/14
Step-by-step explanation:
have a great day
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Hi, thank you for posting your question here at Brainly.
This problem could be solved using the Law of Cosines, since we are given with the three sides. The equation goes,
b^2 = a^2 + c^2 - 2accosB. Substituting,
24^2 = 7^2 + 25^2 - 2(7)(25)cosB
Then B = 73.7 degrees. Therefore sinB or sin(73.7) = 0.96.
Answer:
no solutions
Step-by-step explanation:
y = -3x +10
3x +y = 5
Substitute the first equation into the second equation
Let every instance of y in the second equation be replaced with -3x+10
3x+ (-3x+10) = 5
Combine like terms
10 =5
This is never true so there are no solutions
(These are parallel lines with the same slope but different y intercepts)
Answer:
the runners have gone 20.8 times around the globe all together
Step-by-step explanation:
At the Bostom Marathon, we have a total of
N = 20,000 runners
We know that each runner ran a distance of
d = 26 miles
Therefore, the total distance travelled by all runners combined is:

We know that the circumference of the Earth is

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

And substituting the values, we find:

So, the runners have gone 20.8 times around the globe all together.