Answer:
Test statistic = -2.25
P-value = 0.0199
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 450 gram
Sample mean, 
= 441 grams
Sample size, n = 16
Alpha, α = 0.05
Sample variance = 256
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Degree of freedom =
We can calculate the p-value from the table as:
P-value = 0.0199
Conclusion:
Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.
Thus, there is enough evidence to support the claim that the machine is under filling the bags .
8 x 4 x 2 = 64
Therefore the volume of the pond is equal to 64m³
Hi there!
Let the first number be represented by X.
The second number (which is 2 more than four times the other), can be represented by 4X + 2.
We can now find the sum of this expression.
X + 4X + 2
Collect terms
5X + 2
The sum of the numbers is 18. Therefore we can set up the following equation.
5X + 2 = 18
Subtract 2.
5X = 16
Divide both sides by 5.
X = 16/5 = 3 1/5.
Therefore, the first number is 3 1/5. To find the second number we must plug in X = 3 1/5 into the expression 4X + 2
4 * (3 1/5) + 2 = 12 4/5 + 2 = 14 4/5
The two numbers are
~ Hope this helps you!
Answer:
Option C is false.
Step-by-step explanation:
A. We are given; 0.7 < 4/5
Now, 4/5 in decimal form is written as 0.8.
Thus,0.7 is less than 0.8. So statement is true.
B) We are given: 2/3 > 0.34
Now, 2/3 in decimal form is written as 0.67.
Thus,0.67 is greater than 0.34, so statement is true.
C) We are given: 2.26 > 214
214 is obviously greater than 2.26. Thus statement is false.
D) We are given: 35/6 > 37/8
Now, 35/6 in decimal form is written as 5.83.
Likewise, 37/8 is written in decimal form as 4.63
Thus,5.83 is greater than 4.63, so statement is true.
Finally, the only false one is Option C
Answer: 10m+2
Explanation: perimeter = all the sides added together. Then simplify it. :)
