=================================================
Work Shown:
S = sum of all interior angles of a polygon
S = 180(n-2)
2700 = 180(n-2)
180(n-2) = 2700
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
There are 17 sides to this polygon.
-------------------------
Extra info (optional section):
We call this a 17-gon. Simply start with "n-gon" and replace n with 17.
You could also call it a heptadecagon
hepta = 7
deca = 10
so heptadeca means 17. Personally, I prefer 17-gon as the better name since it's easier to remember.
Solve for x. Round to the nearest hundredth.
A. 0.02
B. 25.17
C. 0.03
B. 12.27
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(64) = x/28
x/28 = cos(64)
x = 28*cos(64)
x = 12.2743921100941
x = 12.27
Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky was bored because she had already mastered the test, so she decided to see if the coin she had in her pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5% significance level, to test whether the true proportion of heads is different from 50%. Which answer choice shows the correct null and alternative hypotheses for this test?
Answer:
H0 : p = 0.5
H1 : p ≠ 0.5
Two tailed test
Step-by-step explanation:
The test if the true proportion of heads is different from 50%; this means the initial truth, that is the true proportion is 50% ; which is the null ;
H0 : p = 0.5
The researcher intends to test if the true proportion is not 50% ; that is the researcher is n spwcudfic about if the proportion is lower or higher, he just wants to test that the proportion is different, hence the test could go either way ;
Alternative hypothesis ;
H1 : p ≠ 0.5
Since the sign in the alternative hypothesis could be in either direction, then we have a two tailed test
You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.
Answer:
$3840.
Step-by-step explanation:
First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.
A line passes through (1, - 1) and (3, 5). What is the equation of the line in slope-intercept form?
Answer: a+b+c=0 and 3a+5b+c=0
Step-by-step explanation:
If you find a solution to these equations, you will find an equation of your line. Please notice that (a,b,c) defines the same line as (ka,kb,kc) and for any non-zero k, and a=b=c=0 defines no line equation at all. Now you can take a=1 and solve for b and c, or take b=1 and solve for a and c, or take c=1 and solve for a and b, at least one of these will work.
What is the formula of a palindrome?
Answer:
For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.
Please help is for now :(
Answer:
d
Step-by-step explanation:
d part it is. this is the answer
ques
mid vallue frequency
5. 5
10. 20
15. 10
20. 55
25. 22
30. 29
find mode from the following
Answer:
the mode is 20
it has the highest frequency
Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.
please helpp
Step-by-step explanation:
everything can be found in the picture
Find the Value of x
Answer:
42
Step-by-step explanation:
(adjacent straight angles sum up to 180)
3x+54=180
x=42
What is it quadratic, radical, rational?
Answer:
quadratic formula is ur answer for letter B
(Y = 179x
(Y = 105x + 2046
Graph pls
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator does a nice job of graphing these equations.
__
The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.
Can someone please help please.you will get 48 points
Answer:
x = 20
Step-by-step explanation:
We can use a ratio to solve
10 14
------ = ----------
x 28
Using cross products
10 * 28 = 14*x
280 = 14x
Divide by 14
280/14 = 14x/14
20 =x
Answer:
20 cm
Step-by-step explanation:
It says that both of these shapes are similar. If we divide 28/14=2.
Then we can also multiply 10 cm by 2 cm to get 20 cm .
x= 20 cm
Hope this helps!
Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?
Answer:
[tex]\$32[/tex]
Step-by-step explanation:
Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:
[tex]\frac{1}{4}x=8[/tex]
Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:
[tex]x=8\cdot 4=\boxed{\$32}[/tex]
A positive real number is 4 less than another. if the sum of the squares of the two numbers is 72, then find the numbers
Answer:
x+4=72
x=72-4
x=68
Step-by-step explanation:
let x be one number and 4 be anothe number then sum of the two number be x and 4
Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.
Answer:
Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times
Step-by-step explanation:
The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.
The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.
hence, option B is correct
What is the scale factor of this dilation?
Answer:
1.333333333333
Step-by-step explanation:
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
10π in.
Step-by-step explanation:
circumference of a circle = 2πr
=2*π*5
=10π in.
An aerodynamic 1,000 kg car takes about 270 newtons of force to maintain a speed of 25 m/s. how much horsepower is required from the engine to maintain this speed?
Answer:
9.05 horse power
Step-by-step explanation:
Given:
Force = 270 Newton
Speed = 25 m/s
Power = Force * velocity
Power = 270 Newton * 25 m/s
Power = 6750 watt
Recall:
1 horse power = 746 watts
Hence, required horsepower is :
6750 watt / 746 watt
9.048 hp
9.05 horse power
what is a case control study
Answer:
A study that compares two groups of people: those with the disease or condition under study (cases) and a very similar group of people who do not have the disease or condition (controls). Researchers study the medical and lifestyle histories of the people in each group to learn what factors may be associated with the disease or condition. For example, one group may have been exposed to a particular substance that the other was not. Also called retrospective study.
Step-by-step explanation:
Answer:
A case-control study is designed to help determine if an exposure is associated with an outcome (i.e., disease or condition of interest).
Step-by-step explanation:
Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?
Respuesta:
3215360 cm³
Explicación paso a paso:
Dado que :
Radio = 160/2 = 80 cm
Altura, h = 160 cm
Volumen de un cilindro = πr²h
Volumen del cilindro = π * 80² * 160
Volumen = 3215360 cm³
Hai vòi nước cùng chảy vào một bể. Vòi thứ nhất chảy trong 8 giờ thì đầy bể, vòi thứ hai chảy trong vòng 10 giờ thì đầy bể. Hỏi:
a, cả hai vòi cùng chảy thì sau bao lâu sẽ đầy bể
b, Nếu có một một vòi thứ ba Thảo nước ra trong 16 giờ thì sẽ cạn hết bể đầy nước thì khi mở cả 3 vòi cùng một lúc sau bao nhiêu lâu sẽ đầy bể(lúc đầu bể đầy nước)
Answer:
Please say in English
Step-by-step explanation:
I don't understand, Sorry
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is placed back in the
bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
========================================================
Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
1.) The grade 6 class harvested 3 44 kg of tomatoes, 53 kg of eggplants and 2 42 kg of green pepper from their "Gulayan sa Paaralan”. How many kilograms of vegetables did they harvest in all? a. What is asked in the problem? b. What are the given facts? c. What operation will be used? d. What is the number sentence? e. What is the answer?
Answer:
649 kg of vegetables
Step-by-step explanation:
What is asked?
The total number of vegetables planted
The given facts?
[tex]Tomatoes= 344kg[/tex]
[tex]Eggplants =53kg[/tex]
[tex]Green\ pepper =242kg[/tex]
The operation to be used?
The addition operation
The number sentence?
[tex]344 + 53 + 242[/tex]
The answer?
[tex]344 + 53 + 242 =639[/tex]
Does anyone know how to solve this?
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Answer:
zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)Step-by-step explanation:
Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.
We note that the sum of all coefficients is negative, so +1 is not a root.
We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).
The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...
Q(x) = x^2 -5x -14
Factoring this using any method you like gives ...
Q(x) = (x +2)(x -7)
This means the full set of zeros is {-2, -1, +7} and the factorization is ...
P(x) = (x +2)(x +1)(x -7)
_____
Additional comment
My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.
In one hour Dele walks 8km. How
long will it take her to walk 14km at
the same rate?
Answer:
1.45 h
Step-by-step explanation:
common factor of 8 and 14 is 2.
every 2km dele takes 15 minutes.
we know this because 15 minutes is 1/4 of an hour and 2km is 1/4 of 8km
14km/2km = 7
7*15 minutes = 1.45 hours
Answer:
1.75 hours/ 1hr 45 min
Step-by-step explanation:
1hr = 8 Km
?? = 14 Km
= (14km × 1hr)/ ( 8km)
= 1.75hours
= 1hr 45min
Help please!!!!! I don't really get this, help asap.
Answer:
7 boxes
Step-by-step explanation:
We can use ratios to solve
12 bars 42 bars
---------- = ---------------
2 boxes x boxes
Using cross products
12x = 2 *42
12x = 84
Divide by 12
12x/12 = 84/12
x = 7
Tiffany is borrowing 1,200 from her parents to buy a new laptop computer. She plans to pay them back at the rate of $70 a month. Rosie is borrowing $900 from her parents to buy a violin. She plans to pay her parents back at the rate of $40 per month
This isn't really a question so I'll just go through all of it.
1200 dollars will take about 17 months to pay off with installments of 70 dollars.
900 dollars will take 22.5 months to pay off with 40 dollar installments.
Tiffany will pay off her debt first.
according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used
Answer:
42 teaspoons of vinegar
Step-by-step explanation:
Given
[tex]x \to vegertable[/tex]
[tex]y \to vinegar[/tex]
[tex]x : y = 4 :12[/tex]
Required
Find y when [tex]x = 14[/tex]
[tex]x : y = 4 :12[/tex] implies that:
[tex]14 : y = 4 : 12[/tex]
Express as fraction
[tex]\frac{y}{14} = \frac{12}{4}[/tex]
[tex]\frac{y}{14} = 3[/tex]
Multiply by 3
[tex]y = 14* 3[/tex]
[tex]y = 42[/tex]
reduce 5/10 to it's smallest fraction
Answer:
1/2
If you divide both numbers by 5, you would get 1/2
ok and again i just dont understand well so this is why i am asking so many times and u guys and girls are getting alot of points
Answer:
The answer is A
Step-by-step explanation:
