Answer:
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Step-by-step explanation:
dont know if its right or wrong soooOOO ;-;
Answer:
35 hotdogs and 52 sodas sold.
Step-by-step explanation:
x = the number of hotdogs sold, x>0
y = the number of sodas sold, y>0
At the end of the night you made a total of $78.50:
1.50x + 0.50y = 78.50
You sold a total of 87 hotdogs and sodas combined:
x + y = 87
We have the following system of equations:
1.50x + 0.50y = 78.50
x + y = 87
Answer:
27
Step-by-step explanation:
Answer:
Domain [-5,∞)
Range [0,∞)
Step-by-step explanation:
Part 1) Find the domain
we have
we know that
The radicand must be greater than or equal to zero
so
solve for x
subtract 5 both sides
The solution for x is the interval [-5,∞)
All real numbers greater than or equal to -5
Remember that
The domain of a function is the set of all possible values of x
therefore
The domain of the function f(x) is the interval [-5,∞)
Part 2) Find the range
we have
Find the value of f(x) for the minimum value of x
For x=-5
The minimum value of f(x) is equal to zero
so
The solution for f(x) is the interval [0,∞)
All real numbers greater than or equal to 0
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
therefore
The range of the function is the interval [0,∞)
Answer:
b. 99 out of 100.
Step-by-step explanation:
We solve for this using z score formula
z-score formula is given as:
z = (x - μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
a) x = 129cm, μ = 135.75cm, σ = 1.85cm
z = (129- 135.75)/1.85
z = -3.64865
Finding the Probability value of the z score from the z table:
P(x = 129) = P(z = -3.64865)
= 0.00013181
b) x = 143 cm, μ = 135.75cm, σ = 1.85cm
z = (143- 135.75)/1.85
z = 3.91892
Finding the Probability value of the z score from the z table:
P(x = 143) = P(z = 3.91892)
= 0.99996
The chances that a randomly selected widget has diameter between 129 centimeters and 143centimeters
= P(x = 143) - P(x = 129)
= P(z = 3.91892) - P(z = -3.64865)
= 0.99996 - 0.00013181
= 0.99982819
Converting to percentage
= 0.99982819 × 100
= 99.982819%
Therefore, option b. 99 out of 100 is the correct answer
