Step-by-step explanation:
Divide each term by −
0.5 and simplify.
y = 1.46
Answer:
120
Step-by-step explanation:
Using factorial, we can calculate the total possible number of combinations to line up.
5! = 120.
5! is another way of saying 5 × 4 × 3 × 2 × 1
Answer:
600 Cheese and 900 Pepperoni
Step-by-step explanation:
Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).
In addition to the equation c + p = 1500(Number of pizzas sold)
Using the second equation (c + p = 1500) solve for one of the variables.
Lets use :
- p = 1500 - c
- Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
- Distribute 2.5, 2c + 3750 - 2.5c = 3450
- Combine like terms -0.5c + 3750 = 3450
- Solve for c: c = 600
- Plus 600 in for c into any equation ( lets use c + p = 1500)
- 600 + p = 1500
- P = 900
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
Answer:
In one second it turns 200 / 60 = 3 1/3 revolutions. Since one revolution is 360°, the answer is 6 2/3 π radians.
