Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
The value of x is the number of 3-point questions, and the value of y is the number of 5-point questions, as the problem statement tells you. So, the solution (x, y) = (10, 14) indicates ...
"The test contains 10 three-point questions and 14 five-point questions."
_____
You can try the offered answers to see which might apply. The last choice has too many questions. The first and third choices don't add up to 100 points.
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:
736 N
Step-by-step explanation:
The dimensions of the rectangular tile are:
Length = 2.3m
Width = 1.6m
The pressure exerted on a surface is given by the formula
where
p is the pressure
F is the force exerted
A is the area on which the force is exerted
In this problem, we have:
is the maximum pressure that the tile is able to sustain
A is the area of the tile, which can be calculated as the product between length and width, so:
Re-arranging the formula for F, we can find the maximum force that can be safely applied to the tile:
1/4, since the radius is also halved if the diameter is halved, meaning (radius/2)^2 is radius^2 * 1/4.
Answer:
The alternative hypothesis being tested in this example is that the tire life is of more than 60,000 miles, that is:
Step-by-step explanation:
A tire manufacturer has a 60,000 mile warranty for tread life. The company wants to make sure the average tire lasts longer than 60,000 miles.
At the null hypothesis, we test if the tire life is of at most 60,000 miles, that is:
At the alternative hypothesis, we test if the tire life is of more than 60,000 miles, that is:
