Answer:
361.09
Step-by-step explanation:
Explanation:
Calculate the standard error of the mean, SE, using this formula, where is the standard deviation and n is the sample size.
For this situation, the sample size is 65, and the standard error of the mean is 44.8. Substitute these values into the formula, and solve for .
So the standard deviation is approximately 361.09.
The standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
Melvin conducted a series of surveys asking political candidates about the number of constituents they mail literature to each sample contains 65 responses, and the standard error of the mean is 44.8.
As we know,
The standard error is given by:
SE = σ/√n
SE = 44.8
n = 65
44.8 = σ/√65
44.8√65 = σ
σ = 361.09
Thus, the standard deviation is 361.09 if each sample contains 65 responses, and the standard error of the mean is 44.8.
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Two interior angles of triangle FGH measure 25° and 50°. What is the measure of ∠HFG?
Answer: 105
Step-by-step explanation:
This is an interesting question. I would rewrite it as
In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?
In the original question, the answer could technically be 25 or 50 is angle HFG.
Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)
if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?
Answer:
50
Step-by-step explanation:
p=2(l+w)
2(10+15)
50
Dimensions of a building are 728 feet by 800 feet. If 1 inch represents 8 feet, what are the dimensions of the building on the drawing?
Answer:
91in by 100in
Step-by-step explanation:
can you get this answer
Answer:
1/128
Step-by-step explanation:
use formula: an = a1 × r ^ n-1
a1 = 4
r = 0.5
n = 10
a10 = 1/128
Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner
Answer:
Sean is late for dinner.
Step-by-step explanation:
A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.
If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.
What is time estimation?When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.
If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.
In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.
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Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
3.8 cm 1.1 cm 2.2 cm Estimate the surface area of the rectangular prism. A) 28 cm B) 32 cm2 64 cm 81 cm
Answer:
28 i guess
Step-by-step explanation:
surface area of rectangular prism is
2*(w*l+h*l+h*w)
h is height
l is length
w is width
so if you substitute each with the numbers you will get 29.92
What can you say about
Multiply.
(5v+6w-7)(-3)
Simplify your answer.
Answer:
if my calculator is not wrong Is 21
It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.
Answer:
Step-by-step explanation:
You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?
What units are used? (Feet, yards, meters, etc.)
area of yard = 75×55 = 4125 units²
amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.
The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The width of the rectangular yard W = 55 feet
The length of the rectangular yard L = 75 feet
Let the perimeter of the rectangular yard be = P
And , the required fencing = Perimeter of rectangular yard
Perimeter of rectangular yard P = 2 ( L + W )
Substituting the values in the equation , we get;
Perimeter of rectangular yard P = 2 ( 55 + 75 )
Perimeter of rectangular yard P = 2 ( 130 )
Perimeter of rectangular yard P = 260 feet
Therefore , the value of P is 260 feet
Hence , the perimeter of yard is 260 feet
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Complete question;Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
a storm blew down many trees. several neighbors rented a chain saw for $232.85 and helped each other cut up and stack wood. the rental company charges $73.95 per day plus a $11 sharpening fee. how many days was the saw rented?
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Answer:
3 days
Step-by-step explanation:
You can estimate the answer (correctly) by observing that 3 × 70 is 210. This is close enough to 232.85 that you know the number of rental days is not 2 or 4.
The equation for the number of days (d) is ...
73.95d +11 = 232.85 . . . $73.95 per day plus an extra fee
73.95d = 221.85 . . . . . . subtract 11
d = 221.85/73.95 = 3 . . . . divide by the coefficient of d
The saw was rented for 3 days.
Answer:
3 days
Step-by-step explanation:
A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing cars for six hours?
A. $12.00
B. $18.00
C. $216.00
D. $228.00
4. A company paid $45 for 2 cases of printer paper. Next month the company's office manager will need to order 15 cases of the same paper. If the price per case does not change, what will be the total cost of next month's order?
A. $22.50
B. $45
C. $337.50
D. $675
5. Ben's family is driving on a cross-country trip for their family vacation. The total mileage of the trip is 3,100 miles. After the first 3 days, they have driven a total of 1085 miles. What percent of the driving distance remains after the first 3 days?
A. 85%
B. 65%
C. 35%
D. 31%
Giving Brainly plzzz EXPLIAN
Pls help! This test determines if I take math 1 or 2 for 8th grade!!
Answer:
My best guess is D she can make 4 dozen cokies
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
it is B because for number A 1+1 =2 2>1.75. B= 1.5<175, c= 0.5 <1, d. 2>1.75
Look at the picture, I’ll give 40 points. If it’s correct
Answer:
8
Step-by-step explanation:
I don't know how to explain
6x+2+11x+8=180 what's the value of x?
Answer:
x=10
Step-by-step explanation:
Which number line shows the solutions of 13x−8≥x+6?
Answer:
the one that shows -21 in the line
Step-by-step explanation:
The value of the variable x is greater than or equal to 7/6 on the number line.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
13x - 8 ≥ x + 6
Simplify the equation, then the value of x will be
13x - 8 ≥ x + 6
13x - x ≥ 8 + 6
12x ≥ 14
x ≥ 14 / 12
x ≥ 7/6
The value of the variable x is greater than or equal to 7/6 on the number line.
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The radius of a circle is 28 centimeters. Which measurement is closest to the circumference of the circle in centimeters?
Answer:
Solution in photo
Which equation would you use to find the value of y?
360−152 because you subtract the arc measure from 360°.
2(152) because the angle on the circle is twice the intercepted arc.
y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.
1/2 (152) because the inscribed angle is half the intercepted arc.
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Answer:
(c) y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.
Step-by-step explanation:
The inscribed angle y is half the measure of the intercepted arc. That arc is the difference between 360° and 152°. So, y is ...
y = 1/2(360° -152°)
Please I need help fast can’t figure this out
Find the range of the data in the box plot below.
cookies
Number of cookies eaten
by each contestant
HHHHHHHHHHHHHHHHHHHHHHHHH
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
Answer:
16
Step-by-step explanation:
22-6=16 ;0
Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
This question is incomplete, the complete question is;
he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).
Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.
Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.
Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?
Answer:
a)
the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Step-by-step explanation:
Given the data in the question;
lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;
probability; feel guilty about wasting food P(A) = 0.39
probability; feel guilty about leaving light on P(B) = 0.27
probability; feel guilty for both P(A ∩ B ) = 0.12
a)
probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both
p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )
we substitute
p( A ∪ B ) = 0.39 + 0.27 - 0.12
p( A ∪ B ) = 0.54
Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54
b)
probability that a randomly selected person will not feel guilty for either of these reasons;
p( A ∪ B )' = 1 - p( A ∪ B )
p( A ∪ B )' = 1 - 0.54
p( A ∪ B )' = 0.46
Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46
Josie recorded the average monthly temperatures for two cities in the state where she lives. For City 1,
what is the mean of the average monthly temperatures? What is the mean absolute deviation of the
average monthly temperatures? Round your answers to the nearest tenth.
Average Monthly Temperatures for City 1 (°F)
45, 37, 64, 50, 44, 49, 73, 76, 27, 23, 49, 45
Average Monthly Temperatures for City 2 (°F)
30, 22, 49, 35, 29, 34,58,61, 12, 8, 34, 30
The mean average monthly temperature in City 1 is
OF.
The mean absolute deviation for the average monthly temperature in City 1 is
OF.
Answer:
The mean average monthly temperature in City 1 is 48.75°F.
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Step-by-step explanation:
For this case we have the following dataset given:
Average Monthly Temperatures for City 1 (° F)
30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37
Average Monthly Temperatures for City 2 (° F)
15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22
For this case the sample mean can be calculated with the following formula:
[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]
And replacing we got:
[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]
The mean average monthly temperature in City 1 is 48.75°F.
And now we can calculate the following values:
[tex]$|38-48.75|=10.75$[/tex]
[tex]$|66-48.75|=17.25$[/tex]
[tex]$|78-48.75|=29.25$[/tex]
[tex]$|47-48.75|=1.75$[/tex]
[tex]$|75-48.75|=26.25$[/tex]
[tex]$|35-48.75|=13.75$[/tex]
[tex]$|45-48.75|=3.75$[/tex]
[tex]$|56-48.75|=7.25$[/tex]
[tex]$|29-48.75|=19.75$[/tex]
[tex]$|49-48.75|=0.25$[/tex]
[tex]$|37-48.75|=11.75$[/tex]
And the mean absolute deviation is given by:
[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
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Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
Will you explain it
Answer:
there is literally nothing in the picture
Answer:
it's a black screen sized 200x200
Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!
Answer:10 to the power of 8
Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.
Please help, I need to solve for m. a=f/m
What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches
Answer:
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Step-by-step explanation:
A = l*w
A = (14 1/2)(5 2/3)
A = (29/2)(17/3)
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Please help me hurry
Answer:
m<P = 48°
m<Q = 132°
Step-by-step explanation:
Given:
m<S = (14x + 6)°
m<R = (5x + 3)°
Required:
m<P, m<Q
Solution:
✔️First, find the value of x
m<S + m<R = 180° (consecutive angles are supplementary)
14x + 6 + 5x + 3 = 180 (substitution)
Collect like terms
19x + 9 = 180
19x = 180 - 9
19x = 171
x = 171/19
x = 9
✔️m<P = m<R (opposite angles are congruent)
m<P = (5x + 3)° (substitution)
Plug in the value of x
m<P = 5*9 + 3
m<P = 48°
✔️m<Q = m<S (opposite angels are congruent)
m<Q = (14x + 6)°
Plug in the value of x
m<Q = 14*9 + 6
m<Q = 132°
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because