Answer:
The slope is
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have
Substitute the values
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
Answer:C. (77.29, 85.71)
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean test score of randomly selected students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
81.5 +/- 1.96 × 10.2/√25
= 81.5 +/- 1.96 × 2.04
= 81.5 +/- 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5016
The upper end of the confidence interval is 81.5 + 3.9984 =85.4984
Therefore, the correct option is
C. (77.29, 85.71)
Based on the calculations, the value of x in this rhombus is equal to: B. 55.
<h3>How to determine the value of x?</h3>
Since the opposite angles in a rhombus are always congruent, the sum of each angle in any rhombus must be equal to 360 degrees.
From the image of the rhombus, we can deduce the following parameters:
Adjacent angles = 2x + 20 and 50 degrees.
Opposite angles = 2x + 20 and 50 degrees.
Adding the angles, we have:
2x + 20 + 2x + 20 + 50 + 50 = 360
4x + 140 = 360
4x = 360 - 140
4x = 220
x = 220/4
x = 55°
Read more on rhombus here: brainly.com/question/11586845
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