Answer:
A Type II error is when the null hypothesis is failed to be rejected even when the alternative hypothesis is true.
In this case, it would represent that the new program really increases the pass rate, but the sample taken is not enough statistical evidence to prove it. Then, the null hypothesis is not rejected.
The consequence is that the new method would be discarded (or changed) eventhough it is a real improvement.
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
The vector shown in the figure has components on the x axis and on the y axis.
If each small box on the draw represents a unit, it can be seen that the vector has a component of<u> length equal to 1 on the positive y-axis </u>and a length equal to 4 on the positive x-axis.
Look at the attached image
The sum of these two components results in the vector shown in the figure. Therefore the correct option is option A.
The length is equal to 1
The formula for the area of a circle is PI x radius^2.
To find the area of the sector, you would multiply the area by the ratio of the the sector angle over 360.
The formula would become PI x r^2 x 30/360.
The 2nd choice is correct.
Answer: the hourly fee for the rototiller is $3
Step-by-step explanation:
Let h represent the hourly fee for renting the rototiller.
The rental company charged an initial fee of $43 with an additional fee per hour. Assuming that they rented the rototiller for x hours. This means that if they rented the rototiller for x hours, the total amount that they would pay is
43 + hx
If they paid $64 after renting the rototiller for 7 hours, the equation that models this problem would be
43 + 7h = 64
7h = 64 - 43 = 21
h = 21/7 = $3
Answer:
3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)
--------------------------
(x + 1)(ax² + bx + c)
= ax³ + bx² + cx + ax² + bx + c
= ax³ + (a + b)x² + (b + c)x + c
--------------------------
ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d
=> a = 3
a + b = -14
b + c = -7
c = d
=> a = 3, b = -17, c = 10, d = 10
