The question tells us that Mallory's 2 years old than three times her brother Jake's age, but let's just start by saying she's 2 years older than <em>some age. </em>What would that look like? Well, we'd be taking some number and adding two to it, so something like this:
Mallory's age = (some age) + 2
What is that age though? The problem tells us it's three times Jake's age, j. We can write that as 3 × j, or 3j, to save space. Filling in our blank, we can write the expression for Mallory's age as 3j + 2
Y = 0:
0 is neither prime nor composite.
y=1:
3 is a prime number (because only 3 and 1 divide evenly into it)
y = 2:
8 is a composite number (because multiple different numbers divide evenly into it: 1, 2, 4, and 8)
Answer:
z-score = 1
Step-by-step explanation:
Given
Mean= μ=240
SD= σ=32
In order to find the z-score of a value, the mean is subtracted from the value and then divided by standard deviation.
The formula for z-score is:
z-score=(x-μ)/σ
Here x is the value whose z-score is to be found.
In the given question, x = 272
So,
z-score=(272-240)/32
=32/32
=1
So , the z-score for 272 is 1..
Answer:
2800 in^3
Step-by-step explanation:
Calculate the volume as normal, but take 1/10 of the result. Since volume is length*width*height, we have 50*28*20 which is 28000. 1/10 of that is 2800. So the volume when scaled down by a factor of 1/10 is 2800 in^3
Multiplying positive numbers always comes out positive, no matter how many there are. So you can forget about the positive ones.
Every two negative numbers in a multiplication produce a positive.
Another way to say that is: If the number of negative ones is EVEN,
the answer is positive, and if it's ODD, the answer is negative.
That monster product of eight numbers in problem #12 will be negative,
because there are an odd amount of negative factors in it.
