Answer:
-6
Step-by-step explanation:
4(2x+12)=0
8x+48=0
8x=-48
x=-6
Answer:
The p value for this case would be given by"
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
Step-by-step explanation:
Information given
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value for the test
Hypothesis to verify
We want to verify if the true mean for this case is equal to 6.5 lbs/square inch or not , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
And replacing we got:
The p value for this case would be given by"
For this case since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is significantly different from 6.5 lbs/square inch at 10% of significance. So then there is not enough evidence to conclude that the valve does not perform to the specifications
Answer:
2. -18w + 6
4. 2w - 20w + 6
Step-by-step explanation:

Answer:
Below.
Step-by-step explanation:
Finding the hypotenuse:
Recall the formula of Pythagoras'theorem,
- (Hypotenuse)² = (Base)² + (Perpendicular)²
Given that base = 8 and perpendicular = 15
Plugging the values,we obtain
- H² = 8² + (15)²
- H² = 64 + 225
- H² = 289
- H = √(17*17)
- H = 17
Now applying trigonometric functions:
Recall SOHCAHTOA , it's very helpful.
Sin θ = Sin A = Opposite/Hypotenuse
cos θ = cos A = Adjacent/Hypotenuse
Tan θ = tan A = Opposite/Adjacent
Note: The values in decimal are rounded to nearest hundredth.
Answer:
Sailboat A won the race, and it was going 8 feet per second.
Step-by-step explanation:
Sailboat A was traveling at 40 feet per every 5 seconds, so, to find how many feet it was going per second, we would do 40 feet/5 seconds, which is 8 feet.
Sailboat B was traveling at 56 feet per every 8 seconds, so we use the same method. 56 feet/8 seconds is 7 feet.
So, Sailboat A won because it was going faster! :)