Answer:
Step-by-step explanation:
Start by noticing that the angle 
is on the 4th quadrant (between 
and 
. Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:
Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:
The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle 
which renders for the cosine function the value 
.
Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: 
Therefore the value of the secant of this angle would be the reciprocal of the cosine of the angle, that is:
Mark's score could be 120,000. Each ball would be worth 20,000 points and since 2,000 times 6 is 120,000, that's how many points he could have.
The question asks for the rate of toys per hour.
So we shall divide the total toys assembled by the total hours.
Its a five day week.
The number of hours allotted per day are 8.
So total allotted during the week are 8 × 5 = 40 hours.
Number of toys made during the week are 400.
Hence the number of toys assembled per hour per person
= number of toys / number of hours
= 400 / 40
= 10 toys per hour per person.
The average number of toys assembled per hour per person is 10.
<span>It can be assumed that the sample mean would would be approximately normal by the mean distribution theorem. The mean distribution theorem states that a large enough sample size will have a distribution and mean approximately the same as the population mean. A sample of 250, half the size of 500, is of sufficient size to assume the distribution mean will be approximately normal like the population mean.</span>
We are given the equation:
<span>Z(q) = 4q + ½ --->
1</span>
The equation for z(u + 1/2) is obtained by
substituting q with u + ½ in the equation, therefore we can say that:
<span>q = u + ½ --->
2</span>
Substituting this value into equation # 1:
Z = 4 (u + ½) + ½ = z (u + 1/2)
4 u + 2 + ½ = z (u + 1/2)
<span>Since it was given that z (u +
1/2) = ½ then,</span>
4 u + 2 + ½ = ½
4 u + 2.5 = 0.5
4 u = -2
u = -1/2 (ANSWER)
<span> </span>
