Answer:
27 hours
Step-by-step explanation:
The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840
To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr
X hours multiplied by rate of $31.5/hr should be at least equal to $840
31.5x>=840
X>=840/31.5>=26.6667 hours and when rounded off
X is 27 hours
Answer:
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between th two groups
Step-by-step explanation:
For this case the intention is try to test if scores on a test of science achievement differ for female and male 8th grade students. let's analyze the possible options for this case:
a. 2-dependent sample t-test
False is not possible since the nature of the gender is not possible to conclude tha the results from boys and girls are dependent
b. 2-independent sample t-test
Correct for this case is the best test since the result from each group are independent and we can compare the sample means between the two groups
c. Correlation
False we can't compare the means of interest with a correlation coefficient since that's not the purpose of the study
d. 2-way ANOVA
False we have just one variable between two groups so is not possible to apply a 2 way ANOVA
Answer:
x=9,-1 and 
Explanation:
we have been given with the quadratic equation 
we compare the given quadratic equation with general quadratic equation
general quadratic is 
from given quadratic equation a=1,b= -8,c= -9
substituting these values in the formula for discriminant 

Now, to find the value of x
Formula is 
Now, substituting the values we will get

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

Answer:
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed
Step-by-step explanation:
The amount of soup the can will hold is equal to the volume of the can.
Volume of the can = base area × height
Given;
Base Area = 5π inches squared
height = 10 inches
Volume of can = 5π × 10 = 50π inches cubed
The amount of soup the can will hold is;
50π inches cubed = 157.08 inches cubed