Answer:
The chocolates are<em> </em><u><em>heavier</em></u> than the weight the weight stated on the label. And the chocolates are<em> </em><u><em>0.0042 pounds heavier</em></u>.
Step-by-step explanation:
Given:
Weight of the chocolates in the bag is labeled = 0.384 pounds.
The actual weight of the chocolates = 0.3798 pounds.
Now, to find is the chocolates are heavier or lighter than the weight stated on the label and how much it is heavier or lighter.
So, we see the that the weight labeled is 0.3840 pounds and the actual weight is 0.3798 pounds which is lighter than the weight in label. As we see the hundredth place of the decimal of the actual weight is 8 and the labeled weight is 7 which is less than 8.
<u><em>Thus, the chocolates are heavier than the weight the weight stated on the label.</em></u>
Now, to get how heavier it is, we subtract the label weight from the actual weight:



<u>So, the chocolates are 0.0042 pounds heavier</u>.
Therefore, the chocolates are heavier than the weight the weight stated on the label. And the chocolates are 0.0042 pounds heavier.
Answer:
no answer choices shown but solution
would be [-2.8, -∞] and [2.83, ∞]
Step-by-step explanation:
Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259
Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:
1) Find the proportion
, in which x is the number of people with the desired condition. In our case, p=0.9;
2) Calculate margin of error, i.e.:

z is z-score, which for a 95% confidence, equals 1.96;
Substituting with the data given:
= 0.0259
3) Write: p ± 
In our case, the interval will be 0.9 ± 0.0259.
<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259
Answer:
(–5, 12) is the correct answer.
Step-by-step explanation:
We are given the following values:

Now, we know the following identities:

Now, the values are:

Sine value is positive and cos, tan values are negative.
It can be clearly observed that
is in 2nd quadrant.
2nd quadrant means, the value of
will be negative and
will be positive.
Let us have a look at the value of
:

Please refer to the attached image for clear understanding and detailed explanation.
Hence, the correct answer is coordinate (x,y) is (–5, 12)