Vary Directly: y = k*x
Vary Inversely: y = k/x
Because x and y vary directly, our equation will look like the first one.
y = k*x
With the inputted values:
-16 = k * 4
Now, to find k, isolate the variable
k = -16/4 = -4
Your final equation will then look like this:
y = -4 * x
Hi! I'm happy to help!
To solve this, we have to divide the 18 pounds, in 1/8 portions. We do this with division. To make this problem easier to solve, we need to turn it into a multiplication problem (opposite of division). To still make the problem correct, we have to take the opposite of one of our numbers. Let's take 1/8, and turn it into 8, now we have the problem:
18×8=
Now all we have to do is multiply:
18×8=
144
He can make 144 croissants!
I hope this was helpful, keep learning! :D
Answer:
x = 675
Step-by-step explanation:
Collect terms and solve the resulting 2-step linear equation.
(x-355)+(x)+(80+2x)=2425 . . . . . given
4x -275 = 2425 . . . simplify
4x = 2700 . . . . . . . add 275
x = 675 . . . . . . . . . divide by 4
The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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Hundreds and tens....
I hope this helped
