I got D.
There's a few ways to solve it; I prefer using tables, but there are functions on a TI-84 that'll do it for you too. The logic here is, you have a standard normal distribution which means right away, the mean is 0 and the standard deviation is 1. This means you can use a Z table that helps you calculate the area beneath a normal curve for a range of values. Here, your two Z scores are -1.21 and .84. You might notice that this table doesn't account for negative values, but the cool thing about a normal distribution is that we can assume symmetry, so you can just look for 1.21 and call it good. The actual calculation here is:
1 - Z-score of 1.21 - Z-score .84 ... use the table or calculator
1 - .1131 - .2005 = .6864
Because this table calculates areas to the RIGHT of the mean, you have to play around with it a little to get the bit in the middle that your graph asks for. You subtract from 1 to make sure you're getting the area in the middle and not the area of the tails in this problem.
3(10g + 6y)
3(10g) +3 (6y)
30g + 18y
option 2
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
Answer:
x=1/2
Step-by-step explanation:
First you distribute the 8 over the (x-3) giving you 8x-24. Do the same for 2x and (4-17). That should give you 8x-34x.
Your equation should look like : 8x-24+7=8x-34x
Next try to balance out your equation. You want your x's all by themselves in order to solve.
The 8x's cancel eachother out so you have -24+7= -34x.
Add the like terms of -24 and 7 to get -17.
Equation: -17= -34x
Divide both sides by -34 to get x by itself.
-17/-34 = x
Reduce by dividing the numerator and denominator by 17 to get -1/-2
Since they are both negative the fraction turns positive.
So the answer should be x=1/2
We first calculate Pablo's height .
4 = 100%
x = 1% (Where x is 1% of Sandra's height.)
cross multiplying the equation, we get:
100x = 4 → x = 4/100 → x = 0.04
If 1% = 0.04, then 10% will be 0.04 × 10 = 0.4
Pablo's height is 4 + 0.4 = 4.4 feet.
Now we repeat the above steps to get Michal's height from Pablo's height
4.4 = 100%
x = 1% so:
100x = 4.4 → x = 4.4/ 100 → x = 0.044
If 1% = 0.044, then 8% will be 0.044 × 8 = 0.35
Michael's height is 4.4 + 0.35 = 4.75 feet.
