The area of the circle shown would not be 5pi. If you look closer, the area is 25pi, therefore the answer is 3. I hope this helps!
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:

Where "k" is the constant of proportionality.
We can choose the point
) from the table, where:

Substituting these values into
and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For
:

2) For
:

3) For
:

Given the length of the pencil, the length of the marker is 130.8 millimeters.
<h3>What are percentages?</h3>
Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
<h3>How long is the marker?</h3>
Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
7x^2+9x
Step-by-step explanation:
Hope this helps...
7x^2+(5x+4x)=
7x^2=9x
Answer:
Step-by-step explanation:
From the information given,
Number of personnel sampled, n = 85
Mean or average = 6.5
Standard deviation of the sample = 1.7
We want to determine the confidence interval for the mean number of years that personnel spent in a particular job before being promoted.
For a 95% confidence interval, the confidence level is 1.96. This is the z value and it is determined from the normal distribution table. We will apply the following formula to determine the confidence interval.
z×standard deviation/√n
= 1.96 × 6.5/√85
= 1.38
The confidence interval for the mean number of years spent before promotion is
The lower end of the interval is 6.5 - 1.38 = 5.12 years
The upper end is 6.5 + 1.38 = 7.88 years
Therefore, with 95% confidence interval, the mean number of years spent before being promoted is between 5.12 years and 7.88 years