Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answers
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
Related Questions
A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.
Answers
Answer: .3330
Step-by-step explanation:
The proportion of exam scores are between 82 and 89.2 points is 0.3330.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
When comparing data sets that may have the same mean but a different range, it is helpful.
The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.
Given:
mean = 83.2 points and
standard deviation = 8 points.
So, the proportion is
P(82 ≤ x ≤ 89.2)
=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)
=P (0.75) - P(-0.15)
=0.7734 -(0.4404)
= 0.3330
Learn more about standard deviation here:
https://brainly.com/question/13905583
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Question 1: The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 31 technicians using the old method and the other 46 technicians using the new method. For the 31 technicians using the old method, the average time was 525 minutes with 47.7 standard deviation. For the 46 technicians using the new method, the average time was 520 minutes with 48.2 standard deviation. Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the test statistic value.
Question 2:
The director of a green energy company is interested in comparing two different methods of installing solar light panels. An experiment is conducted with 39 technicians using the old method and the other 55 technicians using the new method.
For the 39 technicians using the old method, the average time was 582 minutes with 63.8 standard deviation.
For the 55 technicians using the new method, the average time was 542 minutes with 97.8 standard deviation.
Conduct an analysis to determine whether there is a difference in the average time to complete the installation of the solar panels. Provide the degrees of freedom.
Answers
Answer:
Question 1
The test statistics is [tex]t = 0.44[/tex]
The decision rule is
Fail to reject the null hypothesis
The conclusion
There is no sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Question 2
The degree of freedom is [tex]df = 92 [/tex]
The decision rule is
Reject the null hypothesis
The conclusion
There is sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Explanation:
Considering Question 1
Here we are told to provide the test statistics
From the question we are told that
The first sample size is [tex]n_1 = 31[/tex]
The second sample size is [tex]n_ 2 = 46[/tex]
The first sample mean is [tex]\= x_1 = 525 \ minutes[/tex]
The first standard deviation is [tex]\sigma_1 = 47.7[/tex]
The second sample mean is [tex]\= x_2 = 520 \ minutes[/tex]
The second standard deviation is [tex]\sigma_2 = 48.2[/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 31 + 46 -2[/tex]
=> [tex]df = 75 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{( 525- 520 )-0}{ \sqrt{\frac{47.7^2}{31} + \frac{48.2^2}{46} } }[/tex]
=> [tex]t = 0.44[/tex]
Let assume that the level of confidence is [tex]\alpha = 0.05[/tex]
Generally the probability of t at a degree of freedom of is [tex]df = 75[/tex]
[tex]P(t > 0.44 ) = 0.33060124 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 2.398)[/tex]
=> [tex]p-value = 2 * 0.33060124[/tex]
=> [tex]p-value = 0.66120[/tex]
From the value obtain we see that [tex]p-value > \alpha[/tex] hence we fail to reject the null hypothesis
The conclusion is that there is no sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
Considering Question 2
Here we are told to provide the degree of freedom
From the question we are told
The first sample size is [tex]n_1 = 39[/tex]
The first sample mean is [tex]\= x_1 = 582 \ minutes[/tex]
The first standard deviation is [tex]\sigma_2 = 63.8[/tex]
The second sample size is [tex]n_ 2 = 55[/tex]
The second sample mean is [tex]\= x_2 = 542 \ minutes[/tex]
The second standard deviation is [tex]\sigma_2 = 97.8 [/tex]
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 39 + 55 -2[/tex]
=> [tex]df = 92 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\= x_1 - \= x_2 )-0}{ \sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
=> [tex]t = \frac{( 582 - 542 )-0}{ \sqrt{\frac{63.8^2}{39} + \frac{97.8^2}{55} } }[/tex]
=> [tex]t = 2.398[/tex]
Let assume that the level of confidence is [tex]\alpha = 0.05[/tex]
Generally the probability of t at a degree of freedom of is [tex]df = 92 [/tex]
[tex]P(t > 2.398 ) = 0.00925214[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 2.398)[/tex]
=> [tex]p-value = 2 * 0.00925214[/tex]
=> [tex]p-value = 0.0185[/tex]
From the value obtain we see that [tex]p-value < \alpha[/tex] hence we reject the null hypothesis
The conclusion is that there is sufficient evidence to show that there is a difference in the average time to complete the installation of the solar panels
convert 0.00633 to a scientific notation
Answers
Answer:
6.33 × 10⁻³
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.
Answer:
6.33 × 10[tex]^{-3}[/tex]
Step-by-step explanation:
** The negative three is supposed to be an exponent **
Melissa needs 3.87 feet of string to use as a border for her poster. Melissa finda a piece of string that is is 4.25 feet long. how much string will Melissa have left over
Answers
Answer:
You will have .38 feet left of string
Step-by-step explanation:
Just subtract the numbers
Have a good day!
Answer:
0.38
Step-by-step explanation:
4.25-3.87=0.38
Someone please help!!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
Step 1: Define
xy + |-49/1|(-1)
x = 7
y = 8
Step 2: Simplify
xy + |-49|(-1)
xy + 49(-1)
xy - 49
Step 3: Substitute and Evaluate
7(8) - 49
56 - 49
7
Answer:
7
Step-by-step explanation:
xy + | -49/1| (-1)
Let x=7 and y = 8
7*8 + | -49/1| (-1)
56 + | -49/1| (-1)
The absolute value of -49 is 49
56 +49 (-1)
Multiply
56-49
7
5+(-5)=0 identify the property
Answers
Answer: Additive Inverse
Step-by-step explanation: The Additive Inverse tells us that if we add
a number and the opposite of that number, the result will be 0.
Solve for j if aj+k=v
Answers
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
If p = 5, q = 4, and r = 1, what is the value of p - r ?
a. 3
b. 4
c. 6
d. 1
Answers
We can replace p with 5 and r with 1, this will lead us with 5 - 1.
If p=5 and R= 1 then 5-1=4
Two taxi companies in a city only charge by mileage and do not charge an initial fee. If Taxi 1 charges $3.00 per miles and Taxi 2 charges $1.77 per kilometer. Determine how much a 12 mile ride will cost in each taxi. There are 1.61 kilometers in every mile.(1 point) A 12 mile ride in Taxi 1 costs $34.20, and in Taxi 2 it costs $36.00 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $13.19 A 12 mile ride in Taxi 1 costs $34.00, and in Taxi 2 it costs $34.20 A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20
Answers
Answer:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Step-by-step explanation:
Given that:
Charges of taxi 1 = $3.00 per mile
Charges of taxi 2 = $1.77 per kilometer
1 mile = 1.61 kilometers
To find:
Cost of a 12 miles ride for taxi 1 and taxi 2.
Solution:
Let us first convert the charges of each taxi to per mile.
Taxi 1 charges are already given in per mile.
Charges for 1 mile = $3
Charges for 12 miles = 3 [tex]\times[/tex] 12 = $36
Taxi 2 charges = 1.77 [tex]\times[/tex] 1.61 = $2.85 per mile
Charges for 12 miles = 2.85 [tex]\times[/tex] 12 = $34.20
Therefore, the answer is:
A 12 mile ride in Taxi 1 costs $36.00, and in Taxi 2 it costs $34.20.
Calculate the difference.
-1 - 7
What
Answers
Answer:
-1-7 = -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
Ms. Sanches and Mr. Brown went to Chuckie Cheese’s. Ms. Sanches had 567 tokens, and Mr. Brown had 432 tokens. Rounded to the nearest hundred, how many more tokens did Ms. Sanches have than Mr. Brown?
Answers
Answer:
Rounded to the nearest hundred, Ms. Sanshes had about 200 more tokens than Mr. Brown
Step-by-step explanation:
567=600 (rounded)
432=400 (rounded)
600-400=200 tokens
9. Show that the polygons
are congruent by using
rigid motions and by
identifying all the
congruent corresponding
parts. Then write a
congruence statement.
Answers
Rigid motions are, exclusively, rotations, reflections, and translations. If you can move one polygon onto the other by using only those motions, they are congruent. One pentagon can, for example, be translated onto another pentagon, making them congruent. If, after being translated, point A is on point F and B on G and C on H and D on I and E on J, the congruence statement is: [tex] ABCDE\cong FGHIJ.[/tex]
According to modern science. Earth is about 4.5 billion years old and written human history extends back about 10,000 years. Suppose you represent the entire history of Earth by 12 hours on a clock, with the birth of Earth at the stroke of midnight and today at the stroke of noon. How long before noon does written human history begin?
Answers
Answer:
11:59:59. Human history can be represented as only less than one second in a 12 hour clock.
6m + 4n + 3m - 6
What are the coefficient[s]? Separated them with a comma
Answers
Answer:
6,4,3
Step-by-step explanation:
A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything
Answer:
6,4,3, and -6
Step-by-step explanation:
These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.
Oct 16, 10:30:54 AM
A rocket is shot into the air. The function f (x) = -16x2 + 64x + 8 gives the
height of the rocket (in feet) as a function of the rockets horizontal distance from
where it was initially shot.
a. What was the initial height of the rocket when it was shot?
b. What is the maximum height the rocket reaches in the air?
a. The initial height of the rocket was
feet.
b. The maximum height the rocket reaches is
feet.
Answers
Answer:
A) 8 feet.
B) 72 feet
Step-by-step explanation:
We have the function [tex]f(x)=-16x^2+64x+8[/tex] which gives the height of the rocket (in feet) as a function of the rocket's horizontal distance.
Part A)
We want to find the initial height of the rocket when it was shot.
At the initial height, the rocket has not moved anywhere. So, the horizontal distance will be 0.
Therefore, to find the initial height, we will substitute 0 into our function. This yields:
[tex]f(0)=-16(0)^2+64(0)+8[/tex]
Evaluate:
[tex]f(0)=8[/tex]
Therefore, the initial height was 8 feet.
Part B)
Notice that our function is a quadratic.
Therefore, the maximum height will be given by the vertex of our quadratic.
To find the vertex, we use:
[tex](-\frac{b}{2a},f(-\frac{b}{2a}))[/tex]
Let's label our coefficients. We have [tex]-16x^2+64x+8[/tex]
Therefore, a=-16, b=64, and c=8.
Substitute them into the vertex formula to find the x-coordinate:
[tex]x=-\frac{64}{2(-16)}\\\Rightarrow x=64/32=2[/tex]
Now, to find the maximum height, substitute 2 back into our function f(x):
[tex]f(2)=-16(2)^2+64(2)+8[/tex]
Evaluate:
[tex]f(2)=-16(4)+64(2)+8\\\Rightarrow f(2)=-64+128+8\\\Rightarrow f(2)=72\text{ feet}[/tex]
Therefore, the rocket reaches a maximum height of 72 feet.
Write an algebraic expression for 27 less than a number.
Answers
Answer:
n-27
Step-by-step explanation:
If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!
Answer:
f - 27
Step-by-step explanation:
we don't know the number that's being subtracted so it would be any integer minus 27
what is the place value of the 6 in 976.14
Answers
Answer:
represents the one value
Step-by-step explanation:
Ones place
select all of the lines that have a slope of 2/5
Answers
the slope 2/5 is written in the formula rise/run. So u can use this method to determine which line has a slope of 2/5.
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
Answers
PLZPLZPLZPLZHELPHELPHELPASAP!!
Rectangle A measures 8 inches by 5 inches. Rectangle B is a scaled copy of Rectangle A. Select all the measurement pairs that could be the dimensions of Rectangle B.
1. 4 inches by 2.5 inches
2. 15 inches by 10 inches
3. 24 inches by 15 inches
4. 9 inches by 6 inches
Answers
Answer:
uhhhhhhhhhhhhhhhhhhh
A high definition radio station charges $200 per year in addition to $50 per month for
the first 3 months to receive its broadcast.
Answers
Answer:
4
Step-by-step explanation:
This polynomial is in descending order for the variable x.
Answers
Answer:
False. It's not in the descending order for variable x.
Step-by-step explanation:
Given polynomial is,
-15x⁵y + 13x²y⁴ - x⁸
'x' is a variable in the given polynomial.
Order or degree of term x⁸ = 8
Order of term -15x⁵y = 5
Order of term 13x²y⁴ = 2
Descending order for the variable x will be,
8 > 5 > 2
So the descending order for the variable 'x' will be,
-x⁸ - 15x⁴y + 13x²y⁴
Therefore, Option (1) False is the correct option.
What might be the result of sharing a link if it is pseudopsychology instead of accurate psychological science?
You would be unintentionally sharing inaccurate information.
You might get credit for the information in the article.
You would have an article you could cite for a class project,
You will find good evidence to back up the headline in the article
Submit
W
Answers
Answer:
You would be unintentionally sharing inaccurate information.
Step-by-step explanation:
i just read the book
Suppose you have 24 CDs. You know that you have 7 more CDs than your friend. Write and solve an equation to find the number of CDs your friend has.
a. 24 + 7 = n; 31
b. 24 + n = 7; –17
c. n + 7 = 24; 17
d. n – 7 = 24; 31
Answers
two numbers or expressions that have been the same value are
Answers
Answer:
equivalent
Step-by-step explanation:
Equivalent means equal so equivalent expressions equal the same value.
Simplify the expression:
27
simplifying square roots
Answers
Answer:
3^2
Step-by-step explanation:
3x3x3 = 27
Because if you have 3^2 then that is 3 to the power of 2 and 3 to the power of 2 is 27.
Answer:
3 by the power of 2
Step-by-step explanation:
Keri has a spinner with sections labeled Black,
Blue, Orange, and Purple. What is the
theoretical probability of Keri spinning the
spinner and landing on blue or black?
Answers
Answer:
50%
Step by step explanation
100 divided by 4 is 25
Since it is both blue and black, it is doubled from 25 to 50
Which is a correct way to subtract from a number? (A). Add 100 then subtract 1 (B). Add 100 then add 2. (C). Subtract 100 then add 2 (D). Subtract 100 then add 1.
Answers
Answer:
A is the answer
Step-by-step explanation:
According to BODMAS (or DMAS), first we add and then subtract
if both operations are of add, we add it at the same time
What is the value of a?
a–2=3+6a3
Enter your answer in the box.
Answers
That's what I got, not sure if it was what you were looking for.
Answer:
-5
Step-by-step explanation:
Is the Answer
Regina used nuts and fruits to make a snack mix. The graph below shows the quantities used for each serving
What do the points on the graph mean in this context? Select all that apply.
For every 3 cups of fruit, there is 1 cup of nuts.
For every 1 cup of fruit, there are 3 cups of nuts.
For every 2 cups of fruit, there are 6 cups of nuts.
For every 6 cups of fruit, there are 2 cups of nuts.
For every 12 cups of fruit, there are 4 cups of nuts.
Answers
Answer: 1st, 4th & 5th .
Answer:
1st, 4th, and 5th
Step-by-step explanation: