Find the sum of the measures of the interior angles of a convex 14-gon.
Final answer:
The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.
Explanation:
The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:
sum of all interior angles = (n-2)x180, n being the number of sides.
Sum = (14 - 2) × 180°
Sum = 12 × 180°
Sum = 2160°
This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.
Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211
Answer:
A on Edg :)
Step-by-step explanation:
Using the normal distribution, it is found that P(z < −2.1) = 0.0179.
Normal Probability DistributionThe z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.
More can be learned about the normal distribution at https://brainly.com/question/24663213
In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:
A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,
Find the area of this trapezoid. All length measures are in centimeters.
From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. A. The term shows 6 over 13. B. one-half C. start fraction 9 over 11 end fraction D. three-eighths
The required, experimental probability of randomly selecting a marble that is not blue is 9/11. Option C is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
The total number of marbles in the barrel is:
4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles
The number of marbles that are not blue is:
5 yellow + 6 red + 2 green + 5 purple = 18 marbles
Therefore, the experimental probability of randomly selecting a marble that is not blue is:
18 marbles / 22 marbles = 9/11
Thus, the answer is option C: 9 / 11.
Learn more about probability here:
brainly.com/question/14290572
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simplify the square root of 27x^12/300x^8
Answer:
3/10 x^2
Step-by-step explanation:
Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.
Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?
A fire fighter has to get to a burning building as quickly as he can. there are three paths that he can take. he can take his fire engine over a large hill (5 miles) at 10 miles per hour. he can take his fire engine through a windy road (7 miles) at 9 miles per hour. or he can drive his fire engine along a dirt road which is 8 miles at 12 miles per hour.
Final answer:
The firefighter should take the path over the large hill as it will take the shortest amount of time to reach the burning building.
Explanation:
The firefighter has three paths to choose from in order to reach the burning building:
Path 1: The firefighter can take the fire engine over a large hill, which is 5 miles long, at a speed of 10 miles per hour.
Path 2: The firefighter can take the fire engine through a windy road, which is 7 miles long, at a speed of 9 miles per hour.
Path 3: The firefighter can drive the fire engine along a dirt road, which is 8 miles long, at a speed of 12 miles per hour.
The firefighter will need to calculate the time it takes to travel each path and choose the path that allows him to reach the burning building quickest.
Let's calculate the time for each path:
Path 1: Time = Distance / Speed = 5 miles / 10 miles per hour = 0.5 hours = 30 minutes
Path 2: Time = Distance / Speed = 7 miles / 9 miles per hour ≈ 0.78 hours ≈ 47 minutes
Path 3: Time = Distance / Speed = 8 miles / 12 miles per hour ≈ 0.67 hours ≈ 40 minutes
Based on the calculations, the firefighter should take Path 1 over the large hill, as it will take him the shortest amount of time to reach the burning building.
Help me please y’all
To solve for the inverse of a function, you have to interchange the variables x and y and solve for the value of y in terms of x:
F(x) = 5x/3 + 5
y = 5x/3 + 5
Interchange x and y:
x = 5y/3 + 5
Solve for the value of y in terms of x:
x – 5 = 5y/3
5y = 3 (x – 5)
y = 3 (x -5) / 5
f^-1 (x) = 3 (x -5) / 5
Each square on the grid represents 1 yd². What is the approximate area of this pond? A. about 10 yd² B. about 15 yd² C. about 20 yd² D. about 25 yd².
A delivery person is scheduled to pick up 9 crates of patio pavers. Each crate weighs 14 ton. How much weight will the delivery person need to plan for?
Which rotation about its center will carry a regular decagon onto itself? 1) 54° 2) 162° 3) 198° 4) 252°?
1. Through music, literature, and painting, the romantic artists attempted to
(1 point)make people fall in love.
express their love for women.
stir the emotions.
get people to reject modern innovations.
2. What do the writers Walter Scott, Mary Shelley, Edgar Allen Poe, and William Wordsworth have in common?
(1 point)They were all men.
They were all French.
They were all English.
They were all romantic writers.
3. Romantic painters aimed to
(1 point)mirror the artist’s imagination.
re-create nature.
meet the highest standards of the École des Beaux-Arts.
f,
Lexi bought 1 2/5 of green grapes and 2 3/10 of red grapes. Grapes are 2.99 a pound.Did lexi spend more or less then $12?
Expressed powers are those that aref(x) = 5x + 3; g(x) = 6x - 5 Find f/g. (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ Five over six. } (f/g)(x) = Quantity five x plus three divided by six x minus five. domain {x|x ≠ Three over five } (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. } (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ - Three over five. }
Answer:
(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }
Step-by-step explanation:
Given functions,
[tex]f(x)=5x+3[/tex]
[tex]g(x) =6x-5[/tex]
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
[tex]=\frac{5x+3}{6x-5}[/tex] ( By substitution )
Let [tex]h(x)=\frac{5x+3}{6x-5}[/tex]
Which is the rational function,
Since, a rational function is defined for all real number except those for which denominator = 0,
[tex]6x-5=0[/tex]
[tex]6x=5[/tex]
[tex]x=\frac{5}{6}[/tex]
Thus, h(x) is defined on all real numbers except 5/6,
Hence, domain of [tex]\frac{f}{g}(x)[/tex] is {x| x ≠ [tex]\frac{5}{6}[/tex] }
laura budgets $54 each month for annual expenses. she nets $1820 semimonthly. what percent of her net monthly income does she budget for annual expenses?
1%
3%
6%
8%
While Joey was standing outside on a sunny day, his shadow was 5 feet long. The shadow of a nearby Oak tree was 12 feet long. If Joey is 6 feet tall, how tall is the Oak tree?
A. 15.6 feet
B. 14.4 feet
C. 10 feet
D. 13.4 feet
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4) Enter your answer in the box. units²
Mae bought 15 football cards and 18 baseball cards. She seperated them into 3 equal groups.How many sports cards are in each group?
the sum of 4 times a number and -5 added to 9 times number
Describe the following sequence as arithmetic, geometric or neither.
2, 4, 6, 12, 14. . . .
I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,
Which parent function has a constant slope?
A. linear
B. square root
C. quadratic
D. exponential
Anna and Bill share some money in the ratio 2:5
Anna gets £A
Bill gets £B
Carl and Donna share twice as much money as Anna and Bill share.
They share the money in the ratio 3:1
Carl gets £C
Donna gets £D
Find A:B:C:D in its simplest form
The ratio A:B: C:D in its simplest form is 4:10:15:5.
Let's denote the total amount of money shared by Anna and Bill as M. Since Anna and Bill share this money in the ratio of 2:5, Anna gets 2/7 of M and Bill gets 5/7 of M.
So, we have:
Anna's share (A) = (2/7)M
Bill's share (B) = (5/7)M
Carl and Donna share twice as much money as Anna and Bill, which means the total amount of money shared by Carl and Donna is 2M. They share this money in a ratio of 3:1.
Therefore:
Carl's share (C) = (3/4)(2M) = (3/2)M
Donna's share (D) = (1/4)(2M) = (1/2)M
Now, we want to find the ratio A:B:C: D. To do this, we need to express all shares in terms of the same unit. Since Anna and Bill's total money is M, we will express Carl and Donna's shares in terms of M as well.
We have:
A = (2/7)M
B = (5/7)M
C = (3/2)M
D = (1/2)M
To find the ratio A:B: C:D, we can compare the coefficients of M:
A:B:C:D = (2/7)M : (5/7)M : (3/2)M : (1/2)M
To simplify this, we can multiply each term by the least common multiple (LCM) of the denominators, which is 14. This will give us the ratio in whole numbers without changing the proportions.
Multiplying each term by 14, we get:
A:B:C:D = (2/7)*14 : (5/7)*14 : (3/2)*14 : (1/2)*14
A:B: C:D = 4:10:15:5
Therefore, the simplest form of the ratio A:B: C:D is 4:10:15:5.
jenny said i'm thinking of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of
Mark went to the store and spent a total of $18.90. What is the cost of 5 items is if one item cost $2.95?
Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle.
a 2 + b 2 = c 2
Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Answer: a = square root of (c^2 - b^2)
Step-by-step explanation:
Trayvon sells candy bars at a price of $3 each. He purchases every order of 200 candy bars for $350. If the cost of shipping is $0.15 per bar, what is Trayvon’s profit function?
Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle
Answer:
its B
Step-by-step explanation: