Answer:
12 side polygon
Step-by-step explanation:
Interior angle of n side regular polygon: = ((n-2)x180)/n
((n-2)x180)/n = 150
(n-2)x180 = 150n
180n - 360 = 150n
30n = 360
n = 12
check: (12-2)x180/12 = 150
Answer:
The polygon has 12 sides (a dodecagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
[tex]\displaystyle \frac{180(n-2)}{n}[/tex]
We are given the interior angle of 150°, thus:
[tex]\displaystyle \frac{180(n-2)}{n}=150[/tex]
Multiplying by n:
[tex]\displaystyle 180(n-2)=150n[/tex]
Operating
[tex]\displaystyle 180n-360=150n[/tex]
Rearranging and simplifying:
[tex]\displaystyle 180n-150n=360[/tex]
[tex]\displaystyle 30n=360[/tex]
[tex]n=360/30=12[/tex]
n = 12
The polygon has 12 sides (a dodecagon).
Evaluate the expression for the given values.
12x+5y3z, where x=12, y = 6, and z = 3
Enter your answer in the box.
Answer: i think 4
Step-by-step explanation:
1.5x + 6(−8 − x) + (12x − 8) ÷ 2, when x = −0.5
Answer:
-51.25
Step-by-step explanation:
The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?
Answer:
rate of change of rent's texting with respect to the month x
Step-by-step explanation:
This expression is written in the form of equation of a straight line f(x) = mx+c where;
m is the slope of rate of change of the function
c is the y-intercept
On comparing, we will see that the slope of the given equation is 117 which can be represented as the rate of change of rent's texting with respect to the month x
what is 33.32 divided 9.8 plsssssss helpppppppp
What is the statistical decision regarding the differences between the observed and expected frequencies if the critical value of chi-square is 9.488 and the computed value is 6.079
Answer:
Fail to reject.
Step-by-step explanation:
For a goodness of fit test the decision rule is:
If the calculated value of the test statistic is more than the right tailed critical value of chi-square, then the null hypothesis will be rejected.
The hypothesis for a goodness of fit test is:
H₀: There is no differences between the observed and expected frequencies.
Hₐ: There is a significant differences between the observed and expected frequencies.
The computed value of the test statistic is, 6.079.
The critical value of chi-square is 9.488.
Calculated test statistic < Critical value
6.079 < 9.488
Thus, the null hypothesis was failed to rejected.
Expand 4(-2y+ 3).
2y+7
0:-8 y + 12
2 y + 12
-8 y+ 3
Which of the following is true about the linear function 4x+2y=12
1.it has a slope of -2 and a y intercept of 6
2. It has a slope of -2 and a y intercept of 12
3 it has a slope of -1/2 and a y intercept of 6
4 it has a slope of -4 and a y intercept of 12
Answer:
i believe is 4
Step-by-step explanation:
If you 2y=-4x+12
need to get the Y by it self
what phrase represents this expression x/3
Answer:
X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS
Step-by-step explanation:
X PARTS OF AN INTEGER DIVIDED INTO 3 PARTS
If P = Set of all triangles, Q = Set of scalene triangles, R = Set of isosceles triangles and
S = Set of equilateral triangles.
State which of the following statements are true or false.
(a) QCР
(b) RCS
(c) SCR
Given:
P = Set of all triangles,
Q = Set of scalene triangles,
R = Set of isosceles triangles and
S = Set of equilateral triangles.
To find:
Which of the following statements are true or false?
Solution:
We know that,
Scalene triangles : All sides are different.
Isosceles triangles : Two sides are equal.
equilateral triangles : All sides are equal.
Set of all triangles contains all scalene triangles. So, set of scalene triangles Q is a subset of Set of all triangles P.
[tex]Q\subset P[/tex]
So, (a) is true.
All isosceles triangles are not equilateral triangles. So, set of isosceles triangles R is not a subset of set of equilateral triangles S.
[tex]R\nsubseteq S[/tex]
So, (b) is false.
Set of all isosceles triangles contains all equilateral triangles. So, set of equilateral triangles S is a subset of set of isosceles triangles R .
[tex]S\subset R[/tex]
So, (c) is true.
Math Club members are selling games and puzzles. They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.
Answer:
a) [tex]10x+8y \geq 200[/tex]
b) The members should sell at least 15 puzzles
Step-by-step explanation:
Let x represents selling games
and y represents puzzles
The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.
a) The inequality will be:
[tex]10x+8y \geq 200[/tex]
at least 200 means the profit can be equal to 200 or greater than that.
b) If the members sell 8 games, how many puzzles would they have to sell?
Number of puzzles sold can be solved by solving the inequality [tex]10x+8y \geq 200[/tex]
Put x =8 and find value of y
[tex]10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15[/tex]
So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.
which of the following is a proper fraction
Answer:
Ummm... You didn't put any pictures or wrote any fractions lol.
Step-by-step explanation:
Have a great day! Thanks!
Answer:
where is the picture????????
Della bought 3 new dresses for a total cost of $203. The
sales tax was 7.5%. What is the best estimate for the
amount of sales tax?
Answer:
$15.23
Step-by-step explanation:
How many groups of 1/3 inch are in 3/4 inch?
Answer: There are 2 1/4 groups of 1/3 inch in 3/4 inch.
Step-by-step explanation:
1. Find a common denominator. 3 and 4 are both multiples of 12, so 12 would be the common denominator.
2. Convert each fraction to have the common denominator of 12.
1/3 * 4/4 = 4/12
3/4 * 3/3 = 9/12
3. Divide using the keep, change, flip method.
9/12 * 12/4 = 108/48
108/48 = 2 1/4
Which point could represent 5/3?
B -3
A -1/2
D 1/2
C 1 1/2
Answer:
(D)
Step-by-step explanation:
is the correct because is 1/2
Answer:
C. 1 1/2
Step-by-step explanation:
How do you do a question like this? 80% as a fraction in simplest form.
To go on a summer trip, Kareem borrows 400$. He makes no payments until the end of 4 years when he pays off the entire loan. The lender charges simple interest at an annual rate of 6%.
Please help, it’s math! Give me the answers for 50+ points
Answer:
1. 0.45
2. 0.30
3. 0.583 with a bar over 3
4. 0.80
5. 0.6 with a bar over 6
6. 0.83 with a bar over 3
7. 0.16 with a bar over 6
8. 0.9375
9. 0.13 with a bar over 3
10. 0.36 with a bar over 36
11. 0.625
12. 0.8125
13. 0.12
14. 0.4 with a bar over 4
15. 0.8 with a bar over 8
16. 0.6875
17. 0.56
18. 0.73 with a bar over 3
Which choice represents a pair of parallel lines?
A. 8x-2y=20 & y= -1/4x+3
B. y=3x+5 & y= 1/3x-2
C. -3x+4y=18 & y= 3/4x+6
D. -3x+4y=16 & y= -3/4x-10
Answer:
A
Step-by-step explanation:
A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p value.
Answer:
p-value = 0.02535
Step-by-step explanation:
From the information given:
For men:
The sample size n₁ = 10
The standard deviation s₁ = 0.2
The sample mean [tex]\bar x _1 =[/tex] 2.9
For women:
The sample size n₂ = 10
The standard deviation s₂ = 0.2
The sample mean [tex]\bar x _2=[/tex] 3.1
Using the pooled variance;
[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]
[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]
[tex]= \sqrt{0.004+0.004 }[/tex]
[tex]= \sqrt{0.008 }[/tex]
= 0.08944
The z-test statistics is computed as:
[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]
[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]
z = - 2.236
The p-value = 2 × P(Z < -2.236)
From the z table;
p-value = 2 × (0.012675)
p-value = 0.02535
find the difference between 760 and 188
Answer:
572
Step-by-step explanation:
Work :
Find the total surface area of this square based pyramid
Given:
Length of a side of base of a square base pyramid = 6 cm
Height of each triangular surface = 4 cm.
To find:
The total surface area of the square based pyramid.
Solution:
Area of a square with side length a is
[tex]\text{Area of square}=a^2[/tex]
Area of square with side length 6 cm is
[tex]\text{Area of square}=(6)^2[/tex]
[tex]\text{Area of square}=36[/tex]
So, area of square with side length 6 cm is 36 cm².
Area of triangle is
[tex]\text{Area of a triangle}=\dfrac{1}{2}\times base\times height[/tex]
Area of each triangular surface is
[tex]\text{Area of each triangular surface}=\dfrac{1}{2}\times (6)\times (4)[/tex]
[tex]\text{Area of each triangular surface}=12[/tex]
Total area of 4 triangular surfaces is
[tex]\text{Area of 4 triangular surfaces}=4\times 12[/tex]
[tex]\text{Area of 4 triangular surfaces}=48[/tex]
So, area of all triangular surfaces is 48 cm².
Now, total area of pyramid is the sum of base area and area of all triangular sides.
[tex]Area=36+48[/tex]
[tex]Area=84[/tex]
Therefore, the area of given square pyramid is 84 cm².
The average score of a sample of 87 senior business majors at UTC who took the Graduate Management Admission Test was 510 with a standard deviation of sample 36. Provide a 98% confidence interval for the mean of the population.
Answer:
500.85 to 519.15
Step-by-step explanation:
The computation is shown below;
The z value for the 98% confidence interval is 2.33
Now the margin of error is
= (z × standard deviation) ÷ √n
= (2.33 × 36) ÷ √87
= (83.88 ) ÷ √87
= 83.88 ÷ 9.327379
= 8.99
= 9
Now The confidence interval mean is
= (510 - 9) (510 +9)
= (501) ; (519)
The two tables below show the amount of tip ,y, included on the bill charging x dollars
Which companies the slopes of the lines created by the tables
Pleas help
Answer:
B
Step-by-step explanation:
trust
Answer:
B i think???
Step-by-step explanation:
Will give BRAINLIEST
Answer:
post office, Library, Park, town hall
Step-by-step explanation:
A line has slope -1. It passes through the point Q(2, -n) and R(4, -3). What is the value of n?
A-5
B 1
C 4
D5
Answer:
i need this answer too
Step-by-step explanation:
lol
How might we know whether X is a positive number negative number or 0 without solving the equation 5x=-16.5
Answer:
Since 16.5 is negative, the only way to get that answer is to multiply 5 by something to negative(x)
Step-by-step explanation:
What are the solutions of x^2+6x-6=10
Answer:
ifhofgoefouegf
Step-by-step explanation:
Answers (there are two solutions):
x = -8x = 2I hope this helps!
Which of the following is an open statement?
A) An angle that measures 40° is an acute angle.
B) An angle that measures 95° is an obtuse angle.
C)
XYZ is an acute angle.
OD) An angle that measures 95° is an acute angle
Answer:
OD
Step-by-step explanation:
an angle that is more than 90 is considered a acute angles
The correct option for an open statement is:
C) XYZ is an acute angle.
The answer is C. We don't know if it's true or false.
Here, we have,
we know that,
An open statement is one that can be true or false depending on the value or condition being discussed.
In this case, the statement "An angle that measures 95° is an acute angle" is an open statement because it can be evaluated as true or false based on the definition of an acute angle.
An acute angle is defined as an angle that measures less than 90 degrees.
Since 95° is greater than 90°, the statement is false.
However, if we were discussing a different angle measure, the statement could be true or false depending on its value.
Options A and B are not open statements because they provide specific angle measures (40° and 95°) and classify them as either acute or obtuse, which can be determined as true or false based on their given measures.
Option C does not provide any specific information or condition,
We don't know if it's true or false.
The correct option for an open statement is:
C) XYZ is an acute angle.
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
NEED HELP ASAP WILL GIVE BRAINLIEST
Answer:
The answer is option A.
Step-by-step explanation:
If both equations are graphed side by side, will produce same figure.
The area of Mr. Rogers’ field is 3 ⅓ square miles. If the width of the field is ⅔ of a mile, what is the length?
Answer:
Length of Mr. Roger's field = 5 miles
Step-by-step explanation:
Given that:
Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles
Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile
Let,
l be the length of Mr. Roger's field
Area of field = Length * Width
[tex]\frac{10}{3}=\frac{2}{3}l[/tex]
Multiplying both sides by 3/2
[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]
Hence,
Length of Mr. Roger's field = 5 miles