Answers
9514 1404 393
Answer:
73.6°
Step-by-step explanation:
The whole is the sum of the parts:
n = 44.5° +29.1°
n = 73.6°
Answer and Step-by-step explanation:
To find the value of n, we must add the two given angles first.
Why?
We add these two angles together because we are shown that angle n encompasses both angles, meaning that the value of n must be the combination of the angles added together.
29.1 + 44.5 = n
Add.
73.6° = n
The value of n is 73.6°.
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Related Questions
Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches. If 36 men are randomly selected, find the probability that they have a mean height greater than 72.3 inches. Round to four decimal places.
Answers
Answer:
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.
This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]
Sample of 36:
This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]
Find the probability that they have a mean height greater than 72.3 inches.
This is 1 subtracted by the pvalue of Z when X = 72.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]
[tex]Z = 2.86[/tex]
[tex]Z = 2.86[/tex] has a pvalue of 0.9979
1 - 0.9979 = 0.0021
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
Please Help Will Give Brainliest
Answers
Answer:
1) 70 for both of them
2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range
3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR
4) A: 80, B: 85
5) A: 65, B: 60
6) 50
7) 100
8) Plot B, see #2 for work
9) 50% - 50% of data is always between Q1 and Q3
10) 25%
11) 25%
10,045 rounded to the tens place
Answers
Answer:
10045 rounded to nearest tens is10050
In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answers
Answer:
Step 3 because they didn't add correctly
The question is on the ss btw
Answers
Answer:
The shop
Step-by-step explanation:
Given
Shop
[tex]Cost = E9[/tex]
[tex]Bag = 12.5kg[/tex]
Supermarket
[tex]Cost=E1.83[/tex]
[tex]Bag = 2.5kg[/tex]
Required
The better value
To do this, we simply calculate the unit price.
This is calculated as:
[tex]Unit = \frac{Price}{Bag}[/tex]
So, we have:
Shop
[tex]Unit = \frac{9}{12.5}[/tex]
[tex]Unit = 0.72[/tex]
Supermarket
[tex]Unit = \frac{1.83}{2.5}[/tex]
[tex]Unit = 0.732[/tex]
At the shop, the unit price is £0.72 per bag while at the supermarket, the unit price is £0.732
The best value is at the shop, because it is cheaper
i.e.
[tex]0.72 < 0.732[/tex]
Which expressions simplify to 4? Select all that apply.
Answers
Answer:
B and D
Step-by-step explanation:
There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.
Answers
1: 1
3: 4
5: 9
7: 16
sorry if this doesn't make sense if it does i hope it helped:)
PLSSS HELP (4x - 1)
(3x)
Answers
Answer:
x = 13
Step-by-step explanation:
3x + 4x-1 +90 = 180
7x = 91
x = 13
The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool
Answers
Answer:
59m
Step-by-step explanation:
Length= 3 × ( width)
But perimeter= 2width + 2 Lenght= 472
Let length= X
Width= Y
X= 3Y.........eqn(1)
2X + 2Y= 472........eqn(2)
Substitute X= 3Y in eqn(2)
2(3Y) + 2Y = 472
6Y + 2Y= 472
8Y= 472
Y= 59 m
Hence, the width of the pool is 59 m
Look at the image below, please! (I mark brainliest!)
Answers
Answer:
C, D, E
Step-by-step explanation:
10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1
What is the mean for the data shown in the dot plot? 4 5 6 10
Answers
Answer:
Mean = 6.25
Step-by-step explanation:
Data values: 4, 5, 6, 10
Mean = (Sum of all values)/(Number of values)
Mean = (4 + 5 + 6 + 10)/4
Mean = 25/4
Mean = 6.25
The mean for the data shown in the dot plot is 6.25.
The given data is 4, 5, 6 and 10.
We need to find the mean for the data shown in the dot plot.
What is the dot plot?A dot plot is used to encode data in a dot or small circle. The dot plot is shown on a number line that displays the distribution of numerical variables where a value is defined by each dot.
Now, mean = Sum of all the observations / Total number of observations
=(4+5+6+10)/4
=25/4
=6.25
Therefore, the mean for the data shown in the dot plot is 6.25.
To learn more about the dot plot visit:
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The sequence below shows the
number of cells in a sample at
the end of the four hours. 6, 12,
24, 48, which recursive formula
models the sequence?
Answers
Answer:
Step-by-step explanation:
Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24
Please please i need help i will mark u brill
Answers
Answer:
Step-by-step explanation:
8d + 54 = 150
Putting value of D = 12 in the equation
8(12) + 54 = 150
96 + 54 = 150
150 = 150
Bringing like terms on one side
150 - 150 = 0
Answer:
Correct.
Step-by-step explanation:
8d+54=150
Putting d=12 we get
8(12)+54=150
96+54=150
150=150
WILL GIVE BRAINLIEST!!!
In a test of hypothesis for a mean, which statement is CORRECT?
The population must be normal because that is the only case when the sample mean is Normally distributed.
As long as the population distribution consists only of positive values, sample size does not matter.
The population distribution can be any distribution because the sample mean is always Normally distributed.
The test requires that the sample mean is normally distributed; this requires that either the population distribution is Normal or the sample size exceeds 30.
Answers
Answer:
As long as the population distribution consists only of positive values, sample size does not matter.
Step-by-step explanation:
As long as the population distribution consists only of positive values, sample size does not matter.
This is a hypothesis because a hypothesis is basically a prediction of what's gonna happen; the other choices are mostly facts that can be backed up, this can only be confirmed after it happens since it can end in different ways. This is a prediction where it says that if the population distribution continues to go on to positive value, then the sample size won't matter; this can come out in different ways, the sample size could matter or it would have to be negative values, e.t.c. This has different ways it could end up.
A radio station is giving away prizes. They give away CD every 18 minutes and a gift card every 24 minutes. The radio station gave away the prizes at 1:00 pm. When is the next time the radio station will give away both prizes again at the same time?
Answers
Answer:
Apne see kar Bsdk. Is Bais bano aur desh ko sangali warna patak ke chod denge XD
A plane is traveling at a constant rate described by d = 525t where d is the distance and t is the time. What is the constant of proportionality?
Answers
Answer:
50 points
Step-by-step explanation:
Answer:
525 is the constant of proportionality
Step-by-step explanation:
What fraction of the whole are the blue piece, the orange piece, the red piece, and the purple piece. How do you know?
Answers
blue: 1/4
Purple: 1/4
Answer:
blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8
guys please i need help in this question, whoever gets it right will get a brainliest
Answers
Answer:
4/20 or 1/5 if you want it simplified
Please take a look at the picture. :)
Answers
Answer:
3÷1/6
Step-by-step explanation:
here is your answer. If it helps don't forget to like and Mark me
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answers
Answer:
The last answer choice
Step-by-step explanation:
Interpretation of internet users
Middle East - about 100 million
North America - about 250 million
Europe - about 500 million
Asia - over 1 billion
Now lets look back at the question.
If Africa has 170 million internet users, according to the graphs, which statement is true.
"Africa has fewer users than the middle east"
This is false as Africa has 170 million users whereas The middle east has about 100 million users
170 mil > 100 mil therefore the statement is false
"Africa has more users then Asia"
This is also false as Asia has the most internet users at 1 billion
Africa has no where near as many users at 170 million users therefore the statement is false
"Africa has more users than Europe but fewer than Asia."
We have already identified that Africa has fewer users than Europe so this one could be it if the other part is true.
"Africa has more users than Europe" This is false as Europe has 500 million internet users while Africa only has 170 million users
Therefore this statement is false
"Africa has more users than the Middle East but fewer users than North America."
Africa has more internet users than the Middle East ( 170 mil > 100 mil ) and fewer users than North America ( 250 mil > 170 mil )
therefore this is the correct statement
A mountain climber started at 150 feet below sea level. What would he need to climb to so that his starting spot and his ending spot were opposites?
Answers
Answer:
Your answer is 24.333.
Step-by-step explanation:
..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.
I APRECIATE HELP. A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?
Answers
The data set that is best fitted by the regression line is; Data Set B
What are regression residuals?Residuals are described as the distance of each point from the regression line. Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.
Graph C has points that are not tightly centered around a line. This is not a good fit.
Graph A has a straight line; it is not a good fit.
Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.
Read more about Regression Residuals at; https://brainly.com/question/17844286
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GUYS HELP PLEASE ASAP You are deciding between two jobs. Offer 1 is $40,000 and a raise of
$4,000 per year. Offer 2 is $52,000 and a raise of $2,000 per year. In how
many years will both jobs pay you the same salary? What would the salary
be? Which offer should you choose if you plan on working for 10 years?
Answers
Answer:
offer 1= you get 80k for the first offer for 10 years.
offer 2= you get 72k for the second offer for 10 years.
Result:
offer one would be better as you would get more money.
Find the missing side of a right triangle a b c
Answers
Answer:
Use Pythagorean Theorem.
Step-by-step explanation:
To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.
Let hypotenuse is a
Perpendicular is b
and base is c
According to the theorem:
a²= b² + c²
Add values and solve for the unknown variable / side.
If you had added the problem, I would have elaborated more but still this will help you out.
The starting numbers for x and y are already entered in a table below the blanks in the table represent the next two terms for each of the patterns the pattern for the X-Files is added to pattern for the y values it at 4 which graph represents the order pairs of first three terms of the pattern from the table?
Answers
Answer:
it is this one
Step-by-step explanation:
because since x is 4 and y is 8 that one matches up better than any other one
PLEASE HELP ASAP
A cone's circular base has a diameter of 6 feet. The volume of the cone is 176 cubic feet. What is the approximate height of the cone?
Answers
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
18.68 feet
Step-by-step explanation:
it passed the quiz
What is the measure of angle A????
Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !
Answers
Answer: I could be wrong- but I thinkkkk its 42
The distance from Detroit, MI to Paris, France is approximately 3930 mi. Flying from Detroit to Paris takes 8 hr with the jet stream. The return flight takes 8.3 hr since the plane is flying against the jet stream.
a. The speed of the plane in still air, rounded to the nearest whole number, is
b. The speed of the jet stream, rounded to the nearest whole number, is
Answers
Answer:
a. 482
b. 9.0
Step-by-step explanation:
The speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
How does air stream affects speed of flight?Flight speed in air stream = Flight speed in still air + effect of air stream
If the flight is going opposit, then:
Flight speed in air stream = Flight speed in still air - speed of air streamIf the flight is going along with flight, then:
Flight speed in air stream = Flight speed in still air + speed of air streamFor this case, we're specified that:
Distance from Detroid to Paris is approx 3930 milesTime it takes by flight along the air stream = 8 hoursTime it takes by flight against the air stream = 8.3 hoursSpeed of flight along the stream is:
[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8} = 491.25 \: \rm mph[/tex]
Speed of flight against the stream is:
[tex]S = \dfrac{\delta D}{\delta T} = \dfrac{3930}{8.3} \approx 473.49 \: \rm mph[/tex]
Let the speed of air stream be y, and that of the flight in still air be x miles per hour, then we get:
Along air stream:
[tex]x + y =491.25\\[/tex] (in miles per hour)
and Against the stream:
[tex]x - y =473.49\\[/tex] (in miles per hour)
Adding both the equations side by side, we get:
[tex]2x + y - y = 491.25 + 473.49\\\\x = \dfrac{964.74}{2} =482.37 \: \rm mph[/tex]
Using this value, we get the value of y as:
[tex]x + y =491.25\\y = 491.25 - x = 491.25 - 482.37 = 8.88 \: \rm mph[/tex]
Rounding to the nearest whole numbers, we get:
x = 482 mph, and y = 9 mph
Thus, the speed of the plane in still air is approx 482 miles per hour(mph). The speed of the jet stream, rounded to the nearest whole number, is 9 mph
Learn more about motion in stream here:
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On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answers
Answer:
[tex](d)\ \beta = 2\ rad[/tex]
Step-by-step explanation:
Given
[tex]L =2[/tex] -- length of the arc
[tex]r = 1[/tex] --- radius of a unit circle
[tex]\beta =[/tex] the subtended angle
Required
Find [tex]\beta[/tex]
The length of an arc is:
[tex]L = r * \beta[/tex]
This gives:
[tex]2 = 1 * \beta[/tex]
[tex]2 = \beta[/tex]
Make [tex]\bets[/tex][tex]\beta[/tex] the subject
[tex]\beta = 2[/tex]
Hence:
[tex]\beta = 2\ rad[/tex]
Answer:
2rad
Step-by-step explanation:
If the Math Olympiad Club consists of 13 students, how many different teams of 5 students can be formed for competitions?
Answers
Answer:
2 teams
Step-by-step explanation:
13 divided by 5 is 2.6, but you cannot split a person in half, so it would be two teams with a remainder of three people.
There are 1287 different teams of 5 students can be formed for competitions.
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
The Math Olympiad Club consists of 13 students.
And, To form different teams of 5 students can be formed for competition.
Hence, We get;
Number of different teams of 5 students can be formed for competitions is,
⇒ ¹³ C ₅
⇒ 13! / 5! 8!
⇒ 1287
Thus, There are 1287 different teams of 5 students can be formed for competitions.
Learn more about the combination visit:
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