It’s 12:35, if you add 40+25 it equals 65, 60 minutes is an hour, subtract 65-60 and you’ll get 5. The hour brings you to 12:30 and then you add the remaining time (5 minutes), which will give you 12:35.
Answer:
you need 45 nickels
Step-by-step explanation:
KP - break this one down to three parts: Total cost of shirts, total cost of shirts and the skirt, and then including tax.
3 T-shirts for $25.67 each would be 3 * 25.67 = 77.01
Shirts and skirt would be 77.01 + 23.55 = 100.56
Tax can be found quite a few different ways, the easiest of which would be multiplication.
8% = .08
100.56 (total cost of clothes) * .08 (tax) = $8.05
Now just add tax and total cost of the clothes. Because of rounding, our answer might be slightly different but that's okay because it's multiple choice and only 1 answer makes sense!
Answer:
a. The mean of the sample is M=35.
The variance of the sample is s^2=39.125.
The standard deviation of the sample is s=6.255.
b. z=-1.6
c. SEM = 2.212
Step-by-step explanation:
The mean of the sample is M=35.
The variance of the sample is s^2=39.125.
The standard deviation of the sample is s=6.255.
<u>Sample mean</u>
<u />
<u>Sample variance and standard deviation</u>
<u />![s^2=\dfrac{1}{(n-1)}\sum_{i=1}^{8}(x_i-M)^2\\\\\\s^2=\dfrac{1}{7}\cdot [(27-(35))^2+(25-(35))^2+(32-(35))^2+(40-(35))^2+(43-(35))^2+(37-(35))^2+(35-(35))^2+(38-(35))^2]\\\\\\](https://tex.z-dn.net/?f=s%5E2%3D%5Cdfrac%7B1%7D%7B%28n-1%29%7D%5Csum_%7Bi%3D1%7D%5E%7B8%7D%28x_i-M%29%5E2%5C%5C%5C%5C%5C%5Cs%5E2%3D%5Cdfrac%7B1%7D%7B7%7D%5Ccdot%20%5B%2827-%2835%29%29%5E2%2B%2825-%2835%29%29%5E2%2B%2832-%2835%29%29%5E2%2B%2840-%2835%29%29%5E2%2B%2843-%2835%29%29%5E2%2B%2837-%2835%29%29%5E2%2B%2835-%2835%29%29%5E2%2B%2838-%2835%29%29%5E2%5D%5C%5C%5C%5C%5C%5C)
![s^2=\dfrac{1}{7}\cdot [(58.141)+(92.641)+(6.891)+(28.891)+(70.141)+(5.64)+(0.14)+(11.39)]\\\\\ s^2=\dfrac{273.875}{7}=39.125\\\\\\s=\sqrt{39.125}=6.255](https://tex.z-dn.net/?f=s%5E2%3D%5Cdfrac%7B1%7D%7B7%7D%5Ccdot%20%5B%2858.141%29%2B%2892.641%29%2B%286.891%29%2B%2828.891%29%2B%2870.141%29%2B%285.64%29%2B%280.14%29%2B%2811.39%29%5D%5C%5C%5C%5C%5C%09%09%09%09%09%09%09%09%09%09%09%09s%5E2%3D%5Cdfrac%7B273.875%7D%7B7%7D%3D39.125%5C%5C%5C%5C%5C%5Cs%3D%5Csqrt%7B39.125%7D%3D6.255)
b. If the population mean is 45, the z-score for M=35 would be:

c. The standard error of the mean (SEM) of this group is calculated as:

Let x denote the number of pages holding 2 cards and y
denote the number of pages holding 3 cards.
So his entire number of card would be represented by 2x + 3y, which is given as
18.
2x + 3y = 18
Subtract 3y from the two sides:
2x = 18 – 3y
then divide both sides by 2:
x = (18 – 3y)/2
We know that x must be an integer. So 18 – 3y must be a multiple of 2. Since 18
is a multiple of 2, 3y is also a multiple of 2. Then y must be a multiple of 2
too.
Let's start with y = 0.
When y = 0, x = (18 – 3(0))/2 = 9.
When y = 2, x = (18 – 3(2))/2 = 6.
When y = 4, x = (18 – 3(4))/2 = 3.
When y = 6, x = (18 – 3(6))/2 = 0.
Thus there are 4 ways to display his figures.