Answer:
There is not enough evidence to support the claim that the bags are under filled.
Step-by-step explanation:
Given :
Population mean, μ = 433
Sample size, n = 26
xbar = 427
Variance, s² = 324 ; Standard deviation, s = √324 = 18
The hypothesis :
H0 : μ = 433
H0 : μ < 433
The test statistic :
(xbar - μ) ÷ (s/√(n))
(427 - 433) / (18 / √26)
-6 / 3.5300904
T = -1.70
The Pvalue :
df = 26-1 = 25 ; α = 0.05
Pvalue = 0.0508
Since Pvalue > α ; WE fail to reject the Null and conclude that there is not enough evidence to support the claim that the bags are underfilled
Two numbers that multiply to -240 and add to -1 are -16 and 15
-16 x 15 = -240
-16 + 15= -1
Hope this helps!
Answer:
The. angle is 72 and the supplement is 108
Step-by-step explanation:
Supplementary agnles are two angles with a sum of 180. So for example, two right angles would be supplementary.
Once again lets break this down by putting it into an equation. The supplement will be x. We know that 180 - x ( the supplement) will be equal to the angle but the angle is 2/3 the supplement.
Your equation should look like this x = 2/3 (180 - x).
Then we're going to multiply both sides by 3 to get 3x = 2 (180 - x)
You should distribute the 2 on the right side to then get 3x = 360 - 2x
You want to get x by itself but you can't make it just disappear because you need to keep your equation balanced. You're going to need to add 2x to both sides making your equation 5x = 360.
then you're going to divide 360 by 5 to get x = 72
subtract 72 (your angle) from 180 to get 108 which is your supplement.
If it's a bit confusing feel free to msg me and I'll do my best to explain it a bit better ^^;
Answer:
<h2>The area of the spring decreases by 370.52*10⁴cm²</h2>
Step-by-step explanation:
The formula for calculating the area of the circular hot spring = 
or 
Initial area of the spring with diameter of 76metres is as shown
If the diameter of the spring decreases by 4 meters over time, the new diameter after decrease will be 76meters less 4 meters which is 72metres.
New area;
Decrease in area = 1444πm²-1296πm²
Decrease in area = 148πm²
= 370.53m²
since 1m²=10⁴cm²
then 370.53m² = 370.52*10⁴cm²
Well if u round the square root it's going to be 1.77
