Answer:
x=7
Step-by-step explanation:
take 30 degree as reference angle
using sin tan rule
tan 30=opposite/adjacent
[tex]\frac{1}{\sqrt{3} }[/tex]=x/[tex]7\sqrt{3}[/tex]
[tex]\frac{1}{\sqrt{3} }[/tex] *[tex]7\sqrt{3}[/tex]
[tex]7\sqrt{3} /\sqrt{3}[/tex]
7=x
Below is a frequency distribution for our RCCC sample of men's heights.
Class Class Frequency Midpoint (inches)
64-65 4
66-67 4
68-69 4
70-71 5
72-73 10
74-75 4
a. Fill in the midpoint of each class in the column provided.
b. Enter the midpoints in L, and the frequencies in L2, and use 1- VarStats to calculate the mean and standard deviation of the frequency distribution. Using the frequency distribution, I found the mean height to be ___________with a standard deviation of____________
c. Now, let's compare the mean of the frequency distribution you just found in part (b), which is an estimate of the actual sample mean, to the actual sample mean you found in (#1).
Using the frequency distribution in (a), I found the mean height to be___________ inches, while using the actual data in #1, I found the mean height to be___________ inches. The true sample mean (using all the data) and the sample mean estimated from a frequency distribution can be fairly close to each other or very different. In this case, do you think the two means were close___________ Using complete sentences, explain why you think the two means came out so close, or why they came out so different, whichever the case may be.
Answer:
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]
Using the frequency distribution, I found the mean height to be 70.1129 with a standard deviation of 3.2831
Step-by-step explanation:
Given
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { } & {64-65} & {4} & { } & {66-67} & {4} & { } & {68-69} & {4} &{ } & {70-71} & {5} & { } & {72-73} & {10} & { } & {74-75} & {4}\ \end{array}[/tex]
Solving (a): Fill the midpoint of each class.
Midpoint (M) is calculated as:
[tex]M = \frac{1}{2}(Lower + Upper)[/tex]
Where
[tex]Lower \to[/tex] Lower class interval
[tex]Upper \to[/tex] Upper class interval
So, we have:
Class 64-65:
[tex]M = \frac{1}{2}(64 + 65) = 64.5[/tex]
Class 66 - 67:
[tex]M = \frac{1}{2}(66 + 67) = 66.5[/tex]
When the computation is completed, the frequency distribution will be:
[tex]\begin{array}{ccc}{Midpoint} & {Class} & {Frequency} & { 64.5} & {64-65} & {4} & {66.5 } & {66-67} & {4} & {68.5 } & {68-69} & {4} &{70.5 } & {70-71} & {5} & {72.5 } & {72-73} & {10} & {74.5 } & {74-75} & {4}\ \end{array}[/tex]
Solving (b): Mean and standard deviation using 1-VarStats
Using 1-VarStats, the solution is:
[tex]\bar x = 70.1129[/tex]
[tex]\sigma = 3.2831[/tex]
See attachment for result of 1-VarStats
Solving (c): Compare the calculated mean to the actual mean
The actual mean is missing from the question, so I will make assumptions in this part
Assume they are close
This means that the selected sample is a reflection of the actual population where the samples are selected.
Assume they are not close
This means that the selected sample does not reflect the actual population where the samples are selected.
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
Two-thirds of a number is nineteen.
Answer:
28.5
Step-by-step explanation:
X*2/3=19, X=19/(2/3)=57/2=28.5
Answer:
The number is 28.5
Step-by-step explanation:
Let the number be x
Two - third of the number is 19 means
[tex]\frac{2}{3} \ of \ x = 19[/tex]
Solve for x
[tex]\frac{2}{3} \times x = 19\\\\2 \times x = 19 \times 3\\\\x = \frac{19 \times 3}{2} = 28.5[/tex]
What is the value of cos C?
Answer:
15/17
Step-by-step explanation:
cos=opp/adj
cos C=15/17
What is the measure of ABC?
O A. 130°
B. 260°
с
50"
C. 1000
D. 3100
SUBMIT
Answer:100 degrees
Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.
ABC is 100
What is central angle of an arc?The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.
θ = arc* 2
θ = 50*2 = 100
To learn more about arcs refer to:
https://brainly.com/question/1597355
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Evaluate the expression when a=-4 and x=5.
a- 1- 2x
help pls
Answer:
-15
Step-by-step explanation:
So it's a-1-2x.
rewrite as -4-1-(2*5)
-4-1-10
-4+-1-10
-5+-10
-15
Answer:
- 15
Step-by-step explanation:
a = -4 and x = 5. ( given )a - 1 - 2 x
- 4 - 1 - 2 ( 5 )
- 5 - 10
- 1 5
In parallelogram DEFG if m FGD=125 find m GDE
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Answer:
55°
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
m∠GDE = 180° -m∠FGD = 180° -125°
m∠GDE = 55°
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.91 with a standard deviation of $0.13. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17
Answer:
The minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question:
We have a mean of $3.91 and a standard deviation of $0.13.
Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17?
3.65 = 3.91 - 2*0.13
4.17 = 3.91 + 2*0.13
Within 2 standard deviations of the mean, so, by the Chebyshev's Theorem, the minimum percentage of stores that sell a gallon of milk for between $3.65 and $4.17 is of 75%.
A 640-ounce bag of dog food contains 75 equal-sized portions. How big will each portion be? Use compatible numbers to solve. A. Between 7 and 8 ounces B. Between 8 and 9 ounces C. Between 9 and 10 ounces D. Between 10 and 11 ounces
Answer:
B
Step-by-step explanation:
If you do 640/75 that equals 8.5333 etc. That is between 8 and 9!
Hope that helps!
Select the correct answer.
The parent function f(x)= 3/x
is transformed to g(x) = f(x + 2) - 4. Which is the graph of g?
The required value of function g is (-4x - 5)/(x+2) and graph is shown below.
What is parent function?The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.
Given that,
Parent function f(x) = 3/x,
And function g(x) = f(x + 2) - 4.
To find the graph of function g(x), first determine the value of function g(x),
Substitute x = x+2 in function f(x), to determine g(x),
g(x) = 3/(x+2) -4
= 3-4(x+2)/x+2
= 3 - 4x - 8/(x + 2)
= (-4x - 5)/(x+2)
The required function g(x) is (-4x - 5)/(x+2) .
The graph of function g(x) is shown below.
To learn more about Parent function on:
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∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.
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Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent, so ...
∠B = ∠A
4x -17 = 3x -8
x = 9 . . . . . . . . . . . add 17-3x to both sides
x = 9
Step-by-step explanation:
In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).
Finding the value of x∠B = ∠A. (Both are vertical angle so, both are equal to each other).
Substitute the values
4 x - 17 = 3 x - 8
Add 17 - 3 x to each side
4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x
combine like terms
4 x + 0 - 3 x = 3 x - 3 x - 8 + 17
x = 0 + 9
x = 9
Find each missing length to the nearest tenth.
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Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
PLEASE HELP ASAP!!!
WILL MARRK BRAINLIEST
Answer:
D
Step-by-step explanation:
Have a nice day :)
The table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group is mail and attended an action movie? Round your answer to two decimal places.
Answer:
the answer is d trust me 0.22
Step-by-step explanation:
FIND X
-------------------------------------------------------------------------------------------------
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Answer:
x = (10√3)/3 ≈ 5.7735 m
Step-by-step explanation:
The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...
BC : AB : AC = 1 : √3 : 2
Then ...
x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m
Can anyone help !! Please
Answer:
the first question is x=68/3 in standard from it is 3x=68
the second question is x= - 11/10
Step-by-step explanation:
for the second question the negative is beside the fraction.
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
What is the slope of the line that contains the points in the table?
A. -6
B. 2
C.-3
D. 3
Answer:
-3
Step-by-step explanation:
change in y over the change in x
pick to points and use slope formula
9-3
0-2
that's 6/-2 = -3
What is the measure of the smallest interior angle of the hexagon shown?
=========================================================
Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
Now go to diagonals of parallelograms. You'll see two line segments, and marked with their midpoints, E and F. Verify that E and F divide the line segments equally by measuring and recording the length of the four line segments that you see.
Answer:
AE=4
EC=4
BF=2.24
FD=2.24
Step-by-step explanation:
here we go honey
What is the mode and the median?
1.2.6.6.7.8.9.9
Cual es la moda y la mediana
Consider the expression (5 – 81) V-81 + 5.
Step-by-step explanation:
here is your answer
here is your answer
An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a yellow on your next toss of the die
Answer:
[tex]P(Yellow) = \frac{29}{147}[/tex]
Step-by-step explanation:
Given
[tex]Brown = 27\\Purple = 47\\Yellow = 29\\Green = 44[/tex]
Required
[tex]P(Yellow)[/tex] --- next roll to be yellow
This is calculated as:
[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]
So, we have:
[tex]P(Yellow) = \frac{29}{27 + 47 + 29 + 44}[/tex]
[tex]P(Yellow) = \frac{29}{147}[/tex]
Find the value of x.
Answer:
9 sqrt(2) /2 = x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = x /9
9 sin 45 = x
9 sqrt(2) /2 = x
Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?
Answer:
62
Step-by-step explanation:
In one minute Anna called 2 people
the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above
I'm not too sure but I tried my best.
help me plz
this is very important for me
Step-by-step explanation:
A line with the specific numbers plotted on it, numerical order
Answer:
1- Put the letter A on positive 7
2- Put the letter B on positive 5
3- Put the letter C on 0
4- Put the letter D on negative 4
5- Put the letter E on negative 9
The square ABCD is divided into eight equal parts. The shaded area is 25 cm². What is the area of the square ABCD
Answer:
I think the answer is 200cm^2
Step-by-step explanation:
since the square is divided into eight equal parts
and one shaded part is =25cm^2
multiply the area of the shaded part by the number of equal parts
= 25cm^2 ×8
= 200cm^2
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x