Answers
Answer:
119°
Step-by-step explanation:
the angles of a triangle make 180° (so does a straight line) therefore
180 (triangle) = a + c + 51
to find c:
180 (straight line) = 112 + c
c = 180 - 112
c = 68°
now we have
180 (triangle) = a + 68 + 51
to find a:
a = 180 - (68 + 51)
a = 180 - 119
a = 61°
to find b:
180 (straight line) = 61 + b
b = 180 - 61
b = 119°
Related Questions
How to do this problem? Thank you!
Answers
(Ef)/(ec)=tan2
Angle 1= angle 2
Tan1=tan2
(Bc)/(ab)=(ef)/(ec)
...
You have a data set with a Gas Price variable. It lists the price of a gallon of regular gasoline at a randomly selected 100 gas stations around the country in a particular week. You calculate a 95% confidence interval for the mean of Gas Price, and it turns out to be $2.43 plus or minus $0.16. Which of the following most closely reflects what you can conclude? a. If your sample size had been 400, and you had observed the same sample mean but a sample standard deviation twice as large as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08. c. If you had observed the same sample mean and sample size, but a sample standard deviation twice as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.24. d. If you had observed the same sample mean and sample size, but a sample standard deviation half as large as the one you observed, the 95% confidence interval would have been approximately $2.43 plus or minus $0.04.
Answers
Answer:
b. If your sample size had been 400 and you had obtained the same sample mean and sample standard deviation as in your original sample, the 95% confidence interval would have been approximately $2.43 plus or minus $0.08.
Step-by-step explanation:
Confidence interval:
A confidence interval is given by the sample mean plus minus the margin of error.
Margin of error:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which M is the margin of error, z is related to the confidence level(the higher the confidence level, the higher the value of Z), [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
This is important to note that the margin of error is inversely proportional to the square root of the size of the sample.
In this question, we have that:
95% confidence interval for the mean of Gas Price is of $2.43 plus or minus $0.16, with a sample of 100.
Option A:
Sample size of 400, which is four times the original, while the standard deviation is twice the original.
This means that the margin of error would be the same, as it would be multiplied by 2 in the numerator and divided by the square root of 4, that is, 2 in the denominator. So the interval would still be of $2.43 plus or minus $0.16, which means that option a. is wrong.
Option B:
Sample size of 400, which is four times the original, while the rest is the same.
The margin of error would be divided by the square root of 4, that is, 2, which means that it would be half of the original, and the interval would be $2.43 plus or minus $0.08, which means that option b. is correct.
Option C:
In this case, the margin of error will be doubled, since the standard deviation is double the original. So the confidence interval would be of $2.43 plus or minus $0.32, which means that option c. is wrong.
Option D:
In this case, the margin of error will be halved, since the standard deviation is half the original. So the confidence interval would be of $2.43 plus or minus $0.08, which means that option d. is wrong.
What is the slope of the line shown below?
Answers
Answer:
you've gotta show us the slope so that we can help u
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answers
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
Find the slope of the line represented in the table.
x
Answers
Answer:
The slope is -3
Step-by-step explanation:
Use the slope formula to find the slope.
The formula is .... ⏬
Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {1,4,7,9).
P(E)= ____?
(Type an integer or a decimal. Do not round.)
Answers
Answer:
Step-by-step explanation:
With replacement
(1/10)^4
1/10000
0.0001
Without replacement
(1/10)(1/9)(1/8)(1/7)
1/5040
0.00019841269
brainleist
which algebraic expression will Alex want to use to determine the total amount of food (f) a dolphin will eat over a 5-year period, if x equals pounds per year?
A. F = 5 + x
B. F = 5x
C. F = 5/x
D. F = x/5
Answers
Answer:
A.) F=5+x
Step-by-step explanation:
I think A is the answer because 5 year period is fixed. The x equals pounds per year is what we don't know .
best answer gets brainliest
Answers
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
Seven times a certain number plus the number is equal to 88. Find the number.
Answers
Answer:
11
Step-by-step explanation:
11 * 7= 77
77 + 11= 88
An airplane on autopilo 7 hours to travel 4,998 kilometers. What is the unit rate for kilometers per hour?
Answers
Kaliq and Maria ench improved their yards by planting grass sod and shrubs. They bought their supplied from the same store. Kali spent $119 on 14ft^2 of grass sod and 3 shrubs. Mana spent 398 on 7ft^2 of grass sod and 7 shrubs. Find the cost of one ft^2 of grass sod and the cost of one shrub
Answers
Answer:
i dont get it
Step-by-step explanation:
Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?
Aeschylus
Sophocles
Euripides
Aristophanes
Answers
Answer:
its b Sophocles
Step-by-step explanation:
got it right
The average diameter of a tree is measured over time. The equation y=3/5x, where x is the time in years and y is the diameter in inches, models the relationship. What is the predicted diameter, in inches, of the three after 12 years?
Answers
Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.
3
5
=
The decimal is
(select)
.
Answers
Answer:
3
Step-by-step explanation:
the answer is 3, you can also search up the answers on the internet or use an online calculator
Answer: Decimals are of different types based on the numbers that come after the decimal point. These types are terminating decimal numbers, non-terminating repeating decimals, recurring decimal numbers, and non-recurring decimal Numbers. The answer is 3, you can also search up the answers on the internet or use a calculator.
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___
Answers
Answer:
Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6
Step-by-step explanation:
Sorry but its very simple question you need to try to do it by yourself
Answer:
6
Step-by-step explanation:
By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.
Which expression is equivalent to 4f/3÷1/4f
Answers
What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1
Answers
Answer:
6
Step-by-step explanation:
6 is the correct answer because-3-3+1
When converted to speeds, which list is in order from slowest to fastest?
17 miles in 2 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes;
60 miles in 8 minutes
17 miles in 2 minutes;
60 miles in 8 minutes;
26 miles in 4 minutes;
33 miles in 6 minutes
33 miles in 6 minutes;
26 miles in 4 minutes;
60 miles in 8 minutes;
17 miles in 2 minutes
60 miles in 8 minutes;
33 miles in 6 minutes;
26 miles in 4 minutes;
17 miles in 2 minutes
Answers
1. 5.5miles/ min (33 miles in 6 minutes)
2. 6.5miles/min (26 miles in 4 minutes)
3. 7.5 miles/ min (60 miles in 8 minutes)
4. 8.5miles/min (17 miles in 2mins)
Hello, I need help!!!!?
Answers
V=(base area)*(height)
thus:
base area=1/2(a+b)*h
=1/2(1.4+0.6)*2
=2 m²
Thus the volume will be:
V=2*1
V=2 m³
Volume after 30 min:
V=2×(0.8)
V=1.6 m³
Rate of emptying the tank is:
(2-1.6)/30=1/ 75 m³/min
time taken to empty the tank:
time=volume/rate
time=2/(1/75)
=150 min
Find the unit rate is 120 apples are in 6 baskets. (Follow this example 3 bananas/ 1 bunch)need help with my homework 10 points
Answers
Answer:
120/6 = 20 apples unit rate
Step-by-step explanation:
please explain what else the question wants
Three yellow balls, two red balls and five orange balls are placed in a bag. Mark draws a ball out, and replaces it. He then picks another ball.
What is the probability that he gets at least one yellow ball?
Answers
Answer:
45
Step-by-step explanation:
because of me and I can send you a picture when
What is the acronym used to help remind you of the order
used to simplify expressions?
Answers
Answer:
I think it's PEMDAS, but I'm not sure- sorry if it's wrong.
Step-by-step explanation:
I need help on this. Can someone pls help me
Answers
Answer:
2
2
3x
Step-by-step explanation:
1.) we can divide both sides by three to get
(3x+6)/3=x+?
x+2= x+?
from here we can tell that ?=2
2.) Let's start by dividing both sides by negative one
(x-2)/ -1= ?-x
simplify
-x+2= ?-x
Here we get ?= 2
3.)
Let's mulitply both sides by 5 to get
15x-10= 5(?-2)
15x-10 = 5?-10
15x= 5?
3x= ?
the answer here is 3x
A + 1.05 = 3.7 plz help
Answers
Answer:
a=2.65
You just bring over the 1.05 to the 3.7, and just go on from there!
Hope this helps!
Simplify the expression below.
12a−8−5a+12
Answers
Step-by-step explanation:
Given
12a - 8 - 5a + 12
= 7a + 4
Hope it will help :)
Answer:
7a + 4
Step-by-step explanation:
First, let's rewrite this expression to combine like terms:
12a – 8 – 5a + 12 — I bolded the constants and underlined the expressions with variables
12a – 5a – 8 + 12 — it looks a little easier regrouped, doesn't it?
The last two terms are easy, right?
12 – 8 = 4 — simplify with subtraction
We'll focus on the first two terms now. Let's rewrite the terms with variables attached to make the subtraction easier:
a(12 – 5) = a(7) = 7a
We could also think of it this way: multiplication is just repeated addition.
12a = a + a + a + a + a + a + a + a + a + a + a + a (we just add a to itself 12 times)
5a = a + a + a + a + a (we just add a to itself 5 times)
Subtracting this expression would then look like this:
a + a + a + a + a + a + a + a + a + a + a + a – (a + a + a + a + a)
a + a + a + a + a + a + a + a + a + a + a + a – a – a – a – a – a
Five of the a values will cancel out, and to show this, we can rewrite the expression once more, like this:
a – a + a – a + a – a + a – a + a – a + a + a + a + a + a + a + a
The five a values cancel out and leave us with this:
a + a + a + a + a + a + a
How many a values are added together now? Seven of them, right? We add a to itself 7 times. We can then rewrite that expression as 7a.
Using the [12 – 8 = 4] expression from above, we add the 4 to the 7a to find our final answer: 7a + 4
I hope this helps increase your understanding of the concept! Have a great day!
18. The stock bar chart below shows price and volume information for Medco Health
Solutions (MHS) on January 12. What was the opening price?
Answers
Answer:b $41.60
Step-by-step explanation:
A. X = -6 and X = -5.5
B. x = -0.5 and x = -5
C. X = 0 and x = 5
D. X = 5 and x = 6
Answers
Answer:
Step-by-step explanation:
The roots are the x-intercepts, 5 and 6.
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Answers
Supplementary: N and M & N and I
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: M and I
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: None
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Help
Please ..................
Answers
8(-11) + 2.
-86
Answer:
-86
Step-by-step explanation:
Substitute -11 for x in the equation:
8(-11)+2
=-88+2
=-86
3629 you can use the digits twice make the largest four digit number
Answers
Answer:
9632
or
9966
Step-by-step explanation:
im not 100% sure