The measure of supplement of angle A is 109°.
Here,
Measure of angle A is 71°.
We have to find the supplement of angle A.
What are Supplementary angles?
Two angle are called supplementary angles if sum of both angles are 180°.
Now,
Measure of angle A is 71°.
Let the measure of its supplement is x°.
Then, By definition of supplementary angles;
x° + 71° = 180°
x° = 180° - 71°
x° = 109°
Therefore, The measure of supplement of angle A is 109°.
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For each of the questions below, a histogram is described. Indicate in each case whether, in view of the Central Limit Theorem, you can be confident that the histogram would look like approximately a bell-shaped (normal) curve, and give a brief explanation why (one sentence is probably sufficient). There are no data for these questions, so you will not need to use the computer to answer these questions.
a. A police department records the number of 911 calls made each day of the year, and the 365 values are plotted in a histogram.
b. The day before an election, fifty different polling organizations each sample 500 people and record the percentage who say they will vote for the Democratic candidate. The 50 values are plotted in a histogram. The fifty polling organizations also record the average age of the 500 people in their sample, and the 50 averages are plotted in a histogram.
c. One hundred batteries are tested, and the lifetimes of the batteries are plotted in a histogram.
d. Two hundred students in a statistics class each flip a coin 50 times and record the number of heads. The numbers of heads are plotted in a histogram. Two hundred students in a statistics each roll a die 40 times and record the sum of the numbers they got on the 40 rolls. They make a histogram of the 200 sums.
e. One thousand randomly chosen people report their annual salaries, and these salaries are plotted in a histogram.
Solution :
a). This histogram is not a bell shaped.
Here we cannot use the theorem of the central limit as the histogram is being plotted by using 365 samples data values of the one sample.
b). This histogram may be bell shaped approximately since the sample size is large.
Here there are 50 sample each having a size of 500 and there is 50 sample proportions. The histogram shows sampling distribution of the sample proportion. Thus the central limit theorem can be used.
The histogram is approximately bell shaped as there is 50 samples of each having 500 size and an average of 50. Thus the central limit theorem can be used.
c). The histogram is not a bell shaped.
In this case central limit theorem cannot be used as the histogram is plotted by using 100 sample data values of one sample.
d). The histogram is a bell shaped since the sample size is large.
In this case 200 samples of each having a size of 50 and a data values of 50. The histogram here shows a sampling distribution of the sample proportion. Thus the central limit theorem can be used.
In the second also the histogram is of bell shaped as the sample size is large.
There are 200 samples of each sample having a size of 40 and they have 40 data values , i.e. sum of rolls.
e). It is not a bell shaped.
The histogram here is plotted using 100 sample data values having one sample. Therefore we cannot use the central limit theorem.
i’ll mark brainlist !! pls help
Answer:
so hard oh my god
Step-by-step explanation:
I don't know sorry I'm not good in math I'm bobo in math
the product of seven and m
answer:
7m
step-by-step explanation:
in case of a variable being multiplied to a number, we just put the number and the variable without putting any operation between themA plane was cruising at a height of 31,000 feet. Then it descended at a rate of 550 feet per minute. What height will the plane be at after 10 minutes?
Pls help
Answer:
25,500
Step-by-step explanation:
550 * 10 = 5500
31,000 - 5500 = 25,500
3. Which expression is NOT equivalent to 216? *
Answer: 8x62 i found this so here is why this is correct hope it helps!
( I am a middle schooler btw)
Step-by-step explanation: 8 x 60 = 480 + 2 =482 so 8 x 62 is correct
Write a formula for rrr in terms of \thetaθtheta for the following figure.
Answer: r = 4cm/θ
Step-by-step explanation:
For a circle of radius R, the perimeter is:
P = 2*pi*R
Now, if we have an arc with an angle θ, the cord of this arc is:
C = (θ/2*pi)*2*pi*R
Where you can see that if θ = 2*pi (this is the full circle) we have the perimeter of the circle.
In this case, we can see that the cord for an angle θ is 4cm, then:
C = 4cm = (θ/2*pi)*2*pi*r = θ*r
Now we can solve this for r:
r = 4cm/θ
Answer:
4/Ф
Step-by-step explanation:
Can somebody please help me with this question and provide an explanation?
Answer:
first of all the formula
y = mx+c
where m is slope and c is y-intercept.
now substitute the values-
y = 2x - 5
(for the slope here is 2 and the part where the line intercepts y axis is -5
therefore
y = 2x-5
Answer:
I have a question for you how are not going to help others but want help yourself sounds lazy to me...
use the approximate operation count 2n^3 /3 for guassian elimination to estimate how much longer it takes to solve n equations in n unknowns if n is tripled
Answer:
the appropriate operation count is 27 times longer than the original one.
Step-by-step explanation:
Given the data in the question;
let us consider the approximate operation count for the system of n₁ equation in n₁ unknowns as; [tex]\frac{2}{3}n[/tex]₁³ Or
O₁ = [tex]\frac{2}{3}n[/tex]₁³
so if the value of the unknowns is tripled i.e, n₂ = 3n₁,
the appropriate operation count will be;
O₂ = [tex]\frac{2}{3}n[/tex]₂³
= [tex]\frac{2}{3}(3n_{1})[/tex]³
= [tex]\frac{2}{3}[/tex] × 27 × n₁³
= 27( [tex]\frac{2}{3}n[/tex]₁³ )
O₂ = 27(O₁)
Therefore, the appropriate operation count is 27 times longer than the original one.
Factor the following: 7a+ 3
Answer:
It's not factorable.
Step-by-step explanation:
The point (8,1) is on the line. (Remember the line continues in both directions forever.)
True
O False
the answear us true im preety sure
A bag of flour weighs 2.5 kilograms. Of 1 bag makes 5 loaves of bread, how many grams of flour are needed for each loaf
Answer:
500 grams
Step-by-step explanation:
2.5 kg = 5 loaves
1 loaf = 2.5/5 = 0.5 kg
0.5 kg = 500 grams
Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures θ radians (where 0≤θ<2π). The terminal point is (1.33,−2).
What is the angle's measure (in radians)?
θ=
Answer:
5.3 or (4217pi/2500)
Step-by-step explanation:
Create a right triangle with the coordinates provided.
We can ignore the negative sign and create the equation
[tex]tan(x) = \frac{1.33}{2} [/tex]
x = 33.624
We then add 270 and x together because the coordinates are in the 4th quadrant.
angle = 303.624
To convert to radians, we multiply this number by pi/180
5.3 radians
The measure of the angle is approximately [tex]1.687\pi[/tex] radians.
By trigonometry we can determine the direction of the terminal ray ([tex]\theta[/tex]), in radians, by the following inverse trigonometric function:
[tex]\theta = \tan^{-1}\frac{y}{x}[/tex] (1)
Since [tex]x > 0[/tex], [tex]y <0[/tex] and angle is in standard position, the angle must have a direction greater than [tex]\frac{3\pi}{2}[/tex] radians and less than [tex]2\pi[/tex] radians. Hence, we conclude that direction of the angle is:
[tex]\theta = \tan^{-1} \left(\frac{-2}{1.33} \right)[/tex]
[tex]\theta \approx 1.687\pi\, rad[/tex]
The measure of the angle is approximately [tex]1.687\pi[/tex] radians.
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Please help due tomorrow and i have to go to bed
Answer:
B & D
Step-by-step explanation:
-3 (0.15 - 0.2 + 0.25p) = - 3 * 0.15 - (-3) * 0.2 + (-3) * 0.25p
-0.45 + 0.6 - 0.75p = 0.15 - 0.75p = -3 (-0.05 + 0.25p}
Will mark brainliest!
What is the end behavior of this radical function?
f(x)= -23Vx+7
A. As x approaches positive infinity, F(x) approaches negative infinity.
B. As x approaches positive infinity, f(x) approaches positive infinity.
C. As x approaches negative infinity, f(x) approaches 0.
D. As x approaches negative infinity, fx) approaches negative infinity.
Answer:
A. As x approaches positive infinity, F(x) approaches negative infinity.
Step-by-step explanation:
Put the equation in a graphing calculater, as x value increased, the function became increasingly negative, hence A.
I need help please i really need it (14 points)
Answer:
point b
Step-by-step explanation
piont b can go to piont e
Answer:
B
Step-by-step explanation:
Go through each point and see which ones works:
-43/50 as a decimal number
Answer:
-0.86
Step-by-step explanation:
Pls help will give brainliest
Answer:
knjiqjwefiro fejweiejf
Step-by-step explanation:
Find the mean of first five prime numbers.
Answer:
5.6
Step-by-step explanation:
First five prime numbers are 2, 3, 5, 7 and 11. The mean or the average formula is = Sum/number of items = (2 + 3 + 5 + 7 +11)/5 = 5.6
24 = 2w - 10 Solve for w, simplify your answer as much as possible
Answer:
the answer is 17
Step-by-step explanation:
2w-10=24
10+24=34
34/2=17
so w=17
Answer:
w=17
Step-by-step explanation:
help me pliss
which one is supposed to be correct?
3) Adventure Land charges $30 for an adult and $40 for a kid. How many 20 points
adult tickets and kids tickets were sold, if 689 tickets were sold for a total
of $24,670? Let a = the number of adult tickets sold and c = the number
of children tickets sold *
Answer:
zoo 777
Step-by-step explanation:
Plz help it about surface area of a rectangular prism
Answer:
60 but im to surw
Step-by-step explanation:
All i remember is that you have to do A=lwh so it would have to be 4x2x7.5=60
Michael has 12% of his paycheck
automatically deposited to his savings
account. His last paycheck was $2165.00
How much money was deposited to
Michael's savings account?
If Michael Saves this amount for
24 consecutive pay periods, how much
will he have saved total?
Answer:
259.80 dollars was deposited from his last pay check and he will have saved 6235.20 dollars in total
Step-by-step explanation:
A store has 4 cases of juice boxes and has a total of 144 juice boxes. The manager wants to know the numbers of juice boxes for different numbers for different numbers of cases. Enter the correct answers in the boxes.
Answer:
first you have to divide the 144 by 4 to get the answer which is 36
Step-by-step explanation:
144÷4=36
then you take 3 × 36= 108 juice boxes
then you take the number of juice boxes which is 36 and divide it by 36 which is 1 case
the you take 6×36=216
288÷36 = 8 cases
Quinn went to the coffee shop traveling 9mph and returned home traveling 15mph. The total trip took I hours. How long did Quinn travel at each speed?
Answer:
to the shop : 5/8 of an hour
back home : 3/8 of an hour
Step-by-step explanation:
We use the relationship between distance travelled, speed and time given by the formula:
speed = distance / time
We know that the distance from home to the coffee shop is D (same for trip back)
We also know the two speeds in one direction 9 mph and in the other 15 mph
then we can find the times t1 (to the coffee shop) and back (t2) by using the equations:
D = 9 * t1
D = 15 * t2
1 = t1 + t2
We set the two distances equal to have:
9 * t1 = 15 * t2
then t1 = 15 * t2 / 9 = 5 t2 / 3
and use this to substitute for t1 in the last equation:
t1 + t2 = 5 t2/3 + t2 = 1
8 t2 /3 = 1
then t2 = 3/8 of an hour
and therefore t1 must be 1 - t2 = 5/8 of an hour
Who am I? If you divide me by 8 and subtract 12 the result is -1
Answer:
88
Step-by-step explanation:
88 ÷ 8 = 11
and 11 - 12 = -1
Answer:
88
Step-by-step explanation:
We can turn this into an algebraic equation. So...
x/8-12=-1 Add 12 to both sides.
+12 +12
x/8=11 Multiply by 8 on both sides.
*8 *8
x=88
The number is 88.
Hope this helps!! Have a nice day C:
Hellpppppppppppppppppppp
Answer:
6
Step-by-step explanation:
I just learned about this yesterday. The line inside of the box is the median. The left side of the box, on the number 2, is the lower quartile. The dot on the line to the left, outside of the box, is above the smallest value. The right side of the box is the upper quartile. The line outside of the box on the right is the highest value. Hope this helps!
1,8,5,4,1,8,5,4
Mean:
Median:
Mode:
Answer:
1. Mean = 55.8
Median = 23
Mode = None
2. Mean = 2.1
Median = 1.4
Mode 0.5
3. Mean = 4.5
Median = 4.5
Mode = 1,4, 5, 8
4. Mean 68
Median 58
Mode = 0
Step-by-step explanation:
Mean = 17 + 25 + 23 + 200 + 14 / 5 = 279/5 = 55.8
Median= Because its odd you put them in order 17, 14, 23, 25, 200 = 23 because it is the middle number. Mode = None
2. Mean = 0.5 + 1.4 + 3.0 + 7.0 + 0.5 +1.8 + 0.5 = 14.7 = 14.7/7 = 2.1
Median = because it is odd you put them in order 0.5, 0.5, 0.5, 1.4, 1.8, 3.0, 7.0 = 1.4 The mode is 0.5 because it repeats three times
3. Mean = 1 + 8 + 5 + 4 + 1 + 8 + 5 + 4 = 36/8 =4.5
Median = Because its even you divide by the two middle numbers = 1, 1, 4,4, 5, 5 , 8 , 8 = 4+5 = 9/2 = 4.5 Mode = 1, 4, 5, and 8 are the numbers that are repeated most often.
Mean = 0+78+99+58+65+0+47+38+227 = 68 Median, Because there is an odd number you get the odd number from the middle. 0, 0, 38, 47, 58, 65, 78, 99, 227 = 58 Mode = 0 because it repeats more often.
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The temperature was -13 °F and then fell 5 degrees.
What was the final temperature?
Answer:
-8
Step-by-step explanation:
The final temperature was -18 °F if it decreased by 5 degrees.
What is the addition operation?The addition operation in mathematics adds values on each side of the operator.
For example 4 + 2 = 6
The temperature was -13 °F and then dropped 5 degrees.
As per the question, we have data as follows:
The initial temperature = -13 °F
The changed temperature = -5 °F (negative sign indicates temp dropped)
Final temperature = initial temperature + changed temperature
Final temperature = -13 °F + (-5 °F)
Final temperature = -13 °F - 5 °F
Apply the addition operation, and we get
Final temperature = -18 °F
Therefore, the final temperature was -18 °F.
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This is urgent what is the answer to this hint: pemdas(45-5)÷5+6²
Answer:
[tex] (45 - 5) \div 5 + {6}^{2} \\ 40 \div 5 + {6}^{2} \\ 8 + {6}^{2} \\ 8 + 36 \\ 44 \: answer [/tex]