Answer:
z-score for 900 points = -4
Step-by-step explanation:
To find the z scores
z=(x-mean)/standard deviation
so
z=(900-1500)/150
z= -600/150
Answer:
30 Nickels and 188 Pennies
Step-by-step explanation:
okay, so to set up the equation first, we have to assign each coin a variable, let's call them p and n:
P= number of pennies
N= number of nickels
the value of a penny is 1 cent, so 1P, and the value of a nickel is 5 cents, so 5N
The problem states that he has 218 coins, meaning that the total number of pennies and nickels adds up to 218:
P + N = 218
the total value of the coins is $3.38, so that would mean that 1P + 5N has to equal $3.38:
1P + 5N = 338
Okay, so now that we have our equations let's solve them using elimination:
we have to get a common coefficient between both equations, so let's multiply our first equation by 5:
P x 5 = 5P
N x 5 = 5N
218 x 5 = 1090
so, now we can solve by elimination:
5P + 5N = 1090
1P + 5N = 338
the N's cancel out:
4P = 752
divide both sides by 4:
P = 188
okay, so if theres a total of 218 coins, subtract 188 from 218:
218 - 188 = 30
so, there are 30 nickels and 188 pennies.
check our work:
5 x 30 = 150
1 × 188 = 188
150 + 188 = 338
338 = 338
I hope this helps! :)
Hey there!
You can find the slope by using this equation:

It doesn't matter what order you use the points in as long as the x's and y's are in the right place.

Just plug your numbers into the equation and solve.



The slope is –1.
Hope this helped you out! :-)
Answer:
Multiply the top equation by +7
Step-by-step explanation:
usually I would think that the first step would be multiply the top equation by -2, but that's not an option
A doesn't work, because it just wouldn't help. B can't work either, because we're trying to get rid of an x or y term.
Answer:
x=2
Step-by-step explanation: