43
if so, use the formula for sum of interior angles in a polygon to solve. 7380 = (n - 2)(180), where n is the number of sides. The number of sides of the polygon is 43.
There are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
What is Polygon?A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane.
We have to find the number of sides in a polygon.
The sum of its interior angle measures is 7380°
The sum of the interior angles of a polygon can be calculated using the formula S = (n - 2) x 180°
where n is the number of sides of the polygon
7380 = (n-2)×180
We have to solve for n
Divide both sides by 180
7380/180=n-2
41=n-2
Add 2 on both sides
43 = n
Hence, there are 43 sides in a polygon, if the sum of its interior angle measures is 7380°.
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A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not. Determine a 68 % confidence interval for the population proportion of college seniors who plan to attend graduate school. (Enter each answer rounded to three decimal places.)
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
68% confidence level
So [tex]\alpha = 0.32[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.32}{2} = 0.84[/tex], so [tex]Z = 0.995[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.16[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 0.995\sqrt{\frac{0.2*0.8}{100}} = 0.24[/tex]
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
What is the p-value?The p-value is also known by the probability value. It is the probability of getting a result that is either the same or more than the actual value.
In a given data with a number n of people surveyed with a probability of success [tex]\pi[/tex] and a confidence level [tex]1-\alpha[/tex], we have the confidence interval of proportions.
[tex]\pi[/tex] ± [tex]\rm z\sqrt{\pi (1-\pi )} /n[/tex]
where z has a p-value of 1-[tex]\alpha /2[/tex]
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
n = 100, [tex]\pi[/tex] = 20/100 = 0.2
So, [tex]\alpha[/tex] = 0.32 where z has a p-value 1-[tex]0.32 /2 = 0.84[/tex]
z = 0.995
The lower limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 - 0.995 \sqrt{0.2 \times 0.8} /100\\= 0.16[/tex]
The upper limit of this interval
[tex]\pi -\rm z\sqrt{\pi (1-\pi )} /n\\= 0.2 +0.995 \sqrt{0.2 \times 0.8} /100\\= 0.24[/tex]
Hence, The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
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Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
Without graphing, tell whether the line containing (6. -3) and (0, -8) is horizontal, vertical, or neither.
A neither
O B. vertical
ci horizontal
If you have $2000 and you made an investment that cost $400 and it gives back 1000 how much
Answer:
you made 600 profit
Step-by-step explanation:
2000-400=1600
1600+1000=2600
2600-2000=600
Answer: 2600
Step-by-step explanation:
2000 - 400 = 1600 + 1000 = 2600
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles
Keisha’s basketball game started at 3:30 and ended at 4:47. How much time elapsed during the game?
Answer:
1 hour and 17 min
Step-by-step explanation:
it takes 30 min to get to 4 the another 30 min to get to 4:30 then 17 min to get to 4:47
which expression can be used to find the surface area of the following triangular prism. choose 1 answer.
Answer:
A is in fact correct.
Step-by-step explanation:
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
Answer:
Brown eyes
Step-by-step explanation:
10/28 Fraction form
0.3571 Decimal form
35.71 % Percentage form
10 is the greatest number out of all the other colors
Solve the equation for s.P-5=3s+8solve for
Answer:
here you go! i couldnt write it but Goodluck! :)
Step-by-step explanation:
Can somebody explain how I'm supposed to do this??
Answer:
C
Step-by-step explanation:
You take the points and input them into the equation. If they all equal the set then it is the equation. So for example a point on the graph is (2,30) so in this case x is 2 so you would do y= 15(2) which is 30. So that equation and point checks out. Repeat with the others
Answer:
its c
Step-by-step explanation:
:)
In a poll, a random sample of 2163 adults (aged 18 and over) was asked, "When you see an ad emphasizing that a product is made in your country, are you more likely to buy it, less likely to buy it, ar neither more nor less likely to
buy it? The results of the survey are presented in the side by side graph. Complete parts (a) through (d) below
Leihood to Buy When Made in Home Country
More
Les likely
| Neither
02
(a) What proportion of 18 to 34 year-old respondents are more likely to buy when made in their country? What proportion of 35 to 44 year-old respondents are more likely to buy when made in their country?
Answer:
Step-by-step explanation:
(a) What proportion of 18- to 34-year-old respondents are more likely to buy when made in their country? What proportion of 35- to 44-year-old respondents are more likely to buy when made in their country?
The proportion of 18- to 34-year-old respondents is
0.66
The proportion of 35- to 44-year-old respondents is
0.56
(b) What age group has the greatest proportion who are more likely to buy when made in their country?
18-34 yrs
(c) Which age group has a majority of respondents who are less likely to buy when made in their country?
55+
(d) What is the apparent association between age and likelihood to buy when made in their country?
As age decreases, the likelihood to buy homegrown increases
Peterson Packaging Inc. does not currently pay dividends. The company will start with a $0.70 dividend at the end of year three and grow it by 10% for each of the next six years. After six years of growth, it will fix its dividend at $1.36 forever. If you want a 15% return on this stock, what should you pay today given this future dividend stream?
What’s the answer and work for this? Someone please tell me
Answer:
Step-by-step explanation:
# 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
12 is a median of a data
4
Brad goes to bed at 21 25.
He is in bed until 0708 the next day.
Work out the length of time that Brad is in bed.
Answer:
Step-by-step explanation:
Problem of the week, provide step-by-step please!
Answer:
Step-by-step explanation:
The smallest perfect square that has three different prime numbers as factor is 900
900 = 30 * 30
Factors = 2² * 3² * 5² = 900
Please help and explain
Answer:
(a)
[tex](2,0)[/tex]
(b)
[tex](0,-2)[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1)= (4,2)[/tex] --- point
[tex]m =1[/tex] -- slope
Solving (a): The zeros of the function
First, we calculate the equation using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1 * (x - 4) + 2[/tex]
Open bracket
[tex]y = x - 4+ 2[/tex]
[tex]y = x -2[/tex]
The zeros also is: [tex]y=0[/tex]
[tex]0 = x - 2[/tex]
[tex]x =0+2[/tex]
[tex]x =2[/tex]
So, the solution to be is
[tex](2,0)[/tex]
(b) The y intercept is:
Substitute [tex]x=0[/tex]
[tex]y = 0 -2 = -2[/tex]
We have:
[tex](0,-2)[/tex]
As in Example 1, suppose a die is rolled. Find each probability.
Help me with this question please!
Answer:
84 in²
Step-by-step explanation:
12+9=21
21x0.5=10.5
10.5x8=84
Which sign makes this number sentence true?
|-6| __ |6|
A. >
B. <
C. =
D.
Answer:
C. =
Step-by-step explanation:
whenever you have | | It will always be positive so -6 turns to 6 and that makes it equal.
add;200g+0.04kg=-----------dag
It's 200.04 dag
blah blah
Answer:
0.240kg
Step-by-step explanation:
the reason for this is because my teacher taught me this:
KHDMDCM
L
G
so you would go grams to kilograms and then you would find your answer because 200. +0.04 was the original equation correct so you would move the decimal in 200. back 3 times were you converted it to kilograms and the you would add so what your new equation is 0.200+0.04=0.240kg
HELP ME PLEASE
15 points and brainliest if right
Step-by-step explanation:
area of a rectangle bh
4x7=28
7x9=63
9x4=36
the only rectangle that has an area equal to 28 is the 4x7 which is the front face and back face.
Hope that helps :)
Find the missing side length.
AJKL ~ AGKH
r − 38 = 9
please solve the equation
Answer:
r = 47
Step-by-step explanation:
r - 38 = 9
r- 38 + 38 = 9 + 38
simplify
r = 47
Answer:
[tex]r=47[/tex]
Step-by-step explanation:
[tex]r-38=9[/tex]
Add 38 to both sides of the equation:
[tex]r-38+38=9+38\\r=47[/tex]
r = 47 is your final answer.
Explain:In (4a)^3
•c
Answer:
Step-by-step explanation:
(4a)^3
4^3 a^3
=12a
Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?
Answer:
24
Step-by-step explanation:
Count the amount of answers she got.
Suppose that the ingredients for a large bucket of popcorn cost a movie theater 80 cents
to buy. If the theater charges $9 for the bucket, what is the percent markup? Give your
answer as a percent rounded to the nearest whole percent.
Answer:
The percent markup is 91%.
Step-by-step explanation:
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2. divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Answer:
The percent markup is 91%.
1. find the amount of profit per large bucket of popcorn
9 - 0.8 = $8.2
2 divide the amount of profit per large bucket of popcorn by the cost of a large bucket of popcorn
8.2 / 9 = 91%
Helppp meeeee plssss I would me the world
Answer:
its 3 trust me
Step-by-step explanation:
Answer:I’m thinking it’s the first one but someone else might know for sure sorry
Step-by-step explanation:
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
can you guys help me on this please
[tex]9^{2}+a^{2}=15^{2} \\144=a^{2}\\a=12[/tex]
One number is seven more than four times another number. If the sum of the numbers is 22, find the numbers.
Answer:
the answer is actually study and you would know
Step-by-step explanation:
Answer:
3 and 19
Step-by-step explanation:
