Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Your first equation would be:
65 + 3x - 10 + 2x = 180
Then simplify to get:
5x + 55 = 180
Subtract 55 from each side:
5x = 125
Now divide by 5 to find x:
x = 25
The measure of angle B = 65
The measure of angle C = 50
Hope this helps!! :)
S= number of small boxes
l= number of large boxes
equation 1: s+l=120
equation 2: 15s+45l=3300
solve by elimination, multiply equation 1 by -15.
-15(s+l=120) = -15s-15l=-1800 add to equation 2.
-15s+15s-15l+45l=-1800+3300 = 30l=1500
30l=1500 , l=50
s+l=120, s+50=120 --> s=70
Answer:
Thomas can buy 4 strands.
Step-by-step explanation:
We need to round $11.86 to the nearest dollar, which is $12.
Now we ask ourselves, "how many times does 12 go into 50 without going over?"
12 × 4 = 48
12 can go into 50 4 times.
Y = -1/2x + 6.....the slope is -1/2 and the y int = 6 or (0,6)
y - y1 = m(x - x1)
slope(m) = -1/2
(0,6)....x1 = 0 and y1 = 6
now we sub
y - 6 = -1/2(x - 0) <==
** You basically just label ur variables and sub them into the point slope form