Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N(
)
The standard normal z distribution is given by;
Z =
~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P(
<
) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Step-by-step explanation:
We are given the system of equations:

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.
We need to solve the systems to find the values of x and y.
Let:

Subtract both equations:

So, value of y=3
Putting value of y in eq(2) and finding value of x:

So, value of x=6
The number of batches of salsa that can be made = x = 6 batches
The number of bat tomato sauce that can be made = y = 3 batches
Keywords: System of equations
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Answer:
The maximum cost is 41 dollars per necklace.
Step-by-step explanation:
The average cost in dollars/necklace is given by :
.....(1)
Where
x is the number of necklaces that are created
To maximize the cost, find the value of x by putting dC/dx = 0

Now put the value of x = 7 in equation (1).

Hence, the maximum cost is 41 dollars per necklace.
It would be: 15/4 = 3 3/4
In short, Your Answer would be 3 3/4
Hope this helps!
Answer:(x,y)=(8,18)
Step-by-step explanation:
Given
5x-2y=4-------1
Second Equation
-2x+y=2-----2
Now multiply equation 2 by 2 and it to equation 1
5x-4x+0=8
x=8
substitute it in equation 1

36=2y
y=18
Therefore
(x,y)=(8,18)