Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:
Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:
Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:
Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer: d. 1068
Step-by-step explanation:
Let p be the proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
Given : You plan to take a survey of n adults to "estimate" this proportion. You want to be able to say that your estimate is within three percentage points (i.e., within 0.03) of the true proportion, with 0.95 probability.
Margin of error : E= 0.03
We know that the z-value for 95% confidence = 
Since the prior proportion of adults believe that global warming is a liberal hoax designed to hurt oil companies.
We assume p = 0.5
Then by Central Limit Theorem , the required sample size would be :
Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size that guarantees that you would obtain a satisfactory estimate =1068
Answer:
-30 is a debt of 30$
+30 is 30 meters above sea level
+6 is 6 units to the right of 0 on the number line
-15 is 15 meters below sea level
+15 is a profit of 15$
Step-by-step explanation:
above sea level means positive(+)
below sea level means negative(-)
profit means you gained (+)
debt means to take(-)
221 is rational since 221 = 221/1
So is 331 because 331 = 331/1
The product of any two rational numbers is also rational
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Proof:
Let x = p/q and y = r/s be two rational numbers. The q and s values are nonzero.
Their product is
x*y = (p/q)*(r/s)
x*y = (p*q)/(r*s)
which is a ratio of two integers pq and rs, so (p*q)/(r*s) is rational
Answer:
7.
Step-by-step explanation:
plug 27 in as y as y = 27.
3x - 1/9(27) = 18
3x + -3 = 18
add 3 on both sides
3x -3 + 3 = 18 + 3
3x = 21
x = 7
