Y=3X+68.25
80=3X+68.25
Subtract 68.25 from both sides
11.75=3X
Divide
11.75/3=3.91
He can't buy a portion of a juice but he doesn't have enough to buy 4
So he can afford 3 juice cartons
No matter what number you substitute for the variable, the simplification will result is a false statement.
Answer/Step-by-step explanation:
4. The product of ⅓ and a => ⅓ × a = ![\frac{1}{3}a [tex] or [tex] \frac{a}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7Da%20%5Btex%5D%20or%20%5Btex%5D%20%5Cfrac%7Ba%7D%7B3%7D%20)
5. a divided by 3 => a ÷ 3 = ⅓a
6. Subtracting ⅓ from b => 
Answer:
The probability that the average score of the 49 golfers exceeded 76 is 0.0228
Step-by-step explanation:
To find the probability that the average score of the 49 golfers exceeded 76, we need to calculate z-score of the score 76.
Z-score can be calculated as follows:
z=
where
- X=76
- M is the mean score of all golfers (75)
- s is the standard deviation of the scores (3.5)
- N is the sample size (49)
then z(76)=
= 2
By looking at the z-table we find that the probability of z-values of scores smaller or equal to 2 is Pr(Z<2)=0.9772. Therefore
The probability that the average score of the 49 golfers exceeded 76 is 1-0.9772=0.0228
Answer:
D. 15/8
Step-by-step explanation:
Recall, SOH CAH TOA
Since we're looking for Cos C, apply CAH. Thus:
Cos C = Adj/Hyp
Adjacent = 15
Hypotenuse = 8
Plug in the values
Cos C = 15/8