Let's assign a variable that is the number when multiplied by 10% it is equal to 0.1.
Well let that be x.
Now we want to convert the 10% into a decimal. To convert a percent into a decimal, simply move the % sign two places to the left and make it into a decimal point.
When we say "of" in mathematics what we really mean is to multiply.
0.10 * x = 0.1
That is the equation we need to find the value of x for.
Divide both sides by 0.10
0.10 * x = 0.1
The 0.10 on the left side cancels out.
x = 1
So, the answer to this question is if we multiply 10% by 1 we will get 0.1.
2^t =38
take the log of each side
log ( 2^t) = log (38)
the exponent gets multiplies
t log (2) = log (38)
divide by log 2
t = log(38)/log (2)
t≈5.2479
Answer:
The P-value is 0.0166.
Step-by-step explanation:
<u>The complete question is:</u> In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z
2.13)
= 1 - 0.9834 = <u>0.0166</u>
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
- If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
- If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.
Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
x adds 1 and y subtracts by 6
X = multiplication
h = height
r^2 = radius squared
Formula of a cylinder: Pi x r^2 x height
So, if 176 = 3.14... times 4^2 times h
Then, 176 = 3.14 times 16h
Next, 176 = 50.24h
Finally, 3.5 = h
You can then check your work by plugging 3.5 back in for the missing height and round to the nearest tenth. :) The answer should come out the same if done correctly.