<em><u>Solution:</u></em>
Given that,
We have to find whether the above function is odd or even
If a function is: y = f(x)
If f(-x) = f(x), the function is even
If f(-x) = - f(x), the function is odd
Which is,
From given,
Replace x with -x
Therefore,
Thus the function g(x) is even
Answer:
Number of plain cookie boxes sold = 785 boxes
Step-by-step explanation:
Given: Cost of a chocolate chip cookie box = $1.25
Cost of a plain cookie box = $0.75
Total number of boxes sold = 1585
Total cost of the sold boxes = $1588.75
Let, number of plain cookie boxes sold = x
Number of chocolate chip cookie boxes sold = 1585 - x
So,
Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes
$1588.75 = x ($0.75) + (1585 - x) ($1.25)
1588.75 = 0.75 x + 1981.25 - 1.25 x
0.5 x = 392.5
Therefore,
<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>
Answer:
see explanation
Step-by-step explanation:
m and n are same- side interior angles and sum to 180°
Answer:
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
Step-by-step explanation:
Sample information:
Size n = 100
mean x = 28,5
Population information
μ₀ = 30
Standard deviation σ = 8
Test Hypothesis
Null Hypothesis H₀ x = μ₀
Alternative Hypothesis Hₐ x < μ₀
We assume CI = 95 % then α = 5 % α = 0,05
As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery
A z(c) for 0,05 from z-table is: z(c) = - 1,64
z(s) = ( x - μ₀ ) / σ/√n
z(s) = ( 28,5 - 30 ) / 8/√100
z(s) = - 1,5 * 10 / 8
z(s) = - 1,875
Comparing z(s) and z(c)
|z(s)| < |z(c)| 1,875 > 1,64
z(s) is in the rejection region. We reject H₀. We dont have enought evidence to support that the cream has effect over the recovery time
You could solve this by doing 905 divided by the total of animal stickers