Answer:
She must make a score of 42 in the final exam to obtain an average of 80.
Step-by-step explanation:
Hi there!
Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):
(82 + 79 + 75 + 2x)/4 = 80
Let´s solve the equation for x multiplying each side of the equation be 4:
82 + 79 +75 + 2x = 320
Substract 82, 79 and 75 to both sides of the equation:
2x = 320 - 82 - 79 -75
2x = 84
x = 84/2
x = 42
She must make a score of 42 in the final exam to obtain an average of 80.
Have a nice day!
Answer:
You just gotta multiply then divide it
Step-by-step explanation:
It's given in the question,
P, Q, V and K are collinear.
VP = 14x + 4
PK = x + 630
VQ = 17x + 6
KQ = 11x + 5
By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = 
x = 15
Therefore, value of VP = (14x + 4)
= 14(15) + 4
= 214 units
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Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that 
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).