Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
Pretzels:2×200=400 200×1/2=100 100+400=500cups
Dry Cereal: 4×200=800 200×1/2=100 800+100=900cups
Peanuts:2×200=400 200×1/4=50 400+50=450cups
Raisins:200×3/4=150cups
Step-by-step explanation:
let the speed of diesel train = x
the equation would be:
(2+6)x = 6(x+15)
8x = 6x+90
8x-6x = 90
2x = 90
x = 90/2
x = 45
Therefore, the speed of diesel train =
45 mph
Opposite of an integer is also known as additive inverse of an integer
The additive inverse for -5 is +5
Hope it helps
Answer:
15.87% probability that no more than 80 customers walk into the coffee shop next Monday
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the probability that no more than 80 customers walk into the coffee shop next Monday?
This is the pvalue of Z when X = 80. So



has a pvalue of 0.1587.
So there is a 15.87% probability that no more than 80 customers walk into the coffee shop next Monday