Step-by-step explanation:
g(5)=2(5)-5=5
h(2)=4(2)+5=13
g(5)+h(2)=5+13=18
N is the centriod of triangle. Find XN if XG = 33
Answer:
22
Step-by-step explanation:
The centroid divides a median in two parts that have this ratio = 1/3 and 2/3
In particular the part between the vertex and the centroid is 2/3 of the median.
So we have:
XN = (33 * 2)/3 = 22
2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviation tell you about this data? (20 points) I NEEDDDDD THISSSSSS PLSSSSSSSSSSSSSSSS
Answer:
[tex]\sigma = 11.28[/tex] --- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
Start by calculating the mean
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}[/tex]
[tex]\bar x = \frac{7531}{91}[/tex]
[tex]\bar x = 82.76[/tex]
Next, calculate the variance using the following formula:
[tex]\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}[/tex]
i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:
[tex]\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}[/tex]
[tex]\sigma^2 = \frac{11580.6816}{91}[/tex]
[tex]\sigma^2 = 127.26[/tex]
Lastly, take the square root of the variance to get the standard deviation
[tex]\sigma = \sqrt{\sigma^2}[/tex]
[tex]\sigma = \sqrt{127.26}[/tex]
[tex]\sigma = 11.28[/tex] --- approximated
Hence, the standard deviation is approximately 11.28
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.
Match the equation on the left with the appropriate solution on the right.
Answer:
what is the question there is no photo
Step-by-step explanation:
Answer: where is the picture
Step-by-step explanation:
What is the recursive formula for this geometric sequence?
-4, -24, -144, -864, ...
= -4
O A.
an =
2n-1 • 30
OB.
la = -4
ar = 2n-16
fa
= -6
C.
= 2n-1 • 30
= -6
O D.
lan
ar = 2n-1.4
Answer:
a1 = -4
an = an-1 * 6
Step-by-step explanation:
-4, -24, -144, -864, ...
First find the common ratio
Take the second term and divide by the first term
-24/-4 = 6
The common ratio is 6
The recursive formula is
a1 = -4
an = an-1 * 6
Which statement correctly identifies the line of reflection?
-The triangles are reflected across the x-axis.
-The triangles are reflected across the y-axis.
-The triangles are reflected across the line y = x.
-The triangles are reflected across the line y = –x.
Answer: The triangles are reflected across the line y = x
Step-by-step explanation:
I used wolfram to calculate it for me. I used the bottom right point of the triangle.
Write the number name for the numeral 87500306 in Indian system and
International system inserting commas suitably
Pls Help Fast!!!!!
Answer:
87,500,306
Step-by-step explanation:
87 million 500 thousand 306
The number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in Indian system and Eighty seven million five hundred and three hundred six in International system.
To write the number name for the numeral 87500306.
What is numerals?A numeral is a figure, symbol, or group of figures or symbols denoting a number. Numerals are made up of digits; 1 is a digit, "123" is made up of 3 digits, and "123" is a numeral that represents the number one hundred twenty-three.
1. Indian system =8,75,00,306
Eight crore seventy five lakh and three hundred six.
2. International system 87,500,306
Eighty seven million five hundred and three hundred six.
So, the number name for the numeral 87500306 is written as Eight crore seventy five lakh and three hundred six in Indian system and Eighty seven million five hundred and three hundred six in International system.
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pls help due today
I will give brainliest
Answer:
I think its a) I only
Step-by-step explanation:
b gives a random value that isn't relevant to the question. C is backwards because F would increase more than C.
What is the measure of ∠
A. 6°
B. 42°
C. 60°
D. 49°
Answer:
<XYZ is equal to 49°
Step-by-step explanation:
Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.
6 – x + = 6 minus StartFraction 3 Over 4 EndFraction x plus StartFraction 1 Over 3 EndFraction equals StartFraction one-half EndFraction x plus 5.X + 5 2 3 6 12
Answer:
x = 16/15
Step-by-step explanation:
Given:
6 - 3/4x + 1/3 = 1/2x + 5
Collect like terms
6 + 1/3 - 5 = 1/2x + 3/4x
(18+1-15)/3 = (2x+3x)/4
4/3 = 5/4x
x = 4/3 ÷ 5/4
x = 4/3 × 4/5
x = (4 * 4) / (3 * 5)
x = 16/15
Can somebody help me with my question i will be so happy if you will;)
Answer:
see explanation
Step-by-step explanation:
Point A is the Incentre of the triangle
This is the point where the 3 angle bisectors intersect
The incentre is equally far away from the triangle's 3 sides , then
AM = AL = 6
What is the missing constant term in the perfect square that starts with x2 – 16x?
Answer:
64
Step-by-step explanation:
the expression is
x² - 16x + _
the constant term is the square of the number residing with x divided by 2
the number number x = 16
therefore the constant term is (16/ 2)²
= 8²
= 64
the formula being used here is
(x + a)² = x² + 2ax + a²
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
Answer:
27.6
Step-by-step explanation:
x+8.6=36.2
Subtract 8.6 from both sides.
x=36.2-8.6
Subtract 8.6 from 36.2 to get 27.6.
x=27.6
(Hurry giving brainliest) Which idea does Arnold need to correct? In specular reflection, reflected rays move in the same direction. In scattering, light strikes particles in the atmosphere. In diffuse reflection, reflected rays move in different directions. In scattering, long wavelengths are scattered the most.
Answer:
D. In scattering, long wavelengths are scattered the most.
Step-by-step explanation:
Scattering of light is the effect observed when there is an interaction between light energy and some particles. This occurs often in the earth's atmosphere which consists of different sizes of particles that interacts with the sunlight.
In scattering, light of shorter wavelengths are scattered by small sized particles compared to those with longer wavelengths. Example is the scattering of the sunlight by the atmospheric particles where colors with short wavelengths are scattered the most.
Arnold need to correct the statement; In scattering, long wavelengths are scattered the most. To read; In scattering, short wavelengths are scattered the most.
Answer:
D on edgen
Step-by-step explanation:
Please help! what is the explicit formula for this sequence?
Answer:
D an = -7+3(n-1)
Step-by-step explanation:
-7,-4,-1,2,5,.....
To find the common difference, take the second term and subtract the first
-4 - -7
-4+7 = 3
We are adding 3 each time
The explicit formula
an = a1+d(n-1) where a1 is the first term and d is the common difference
an = -7+3(n-1)
which of the following equations are perpendicular
Choose the one that is FALSE. *
A. 1/4 = 2/8
B. 3/4 = 10/12
C. 5/10 = 1/2
D. 10/12 = 5/6
Answer:
B. 3/4 = 10/12
Step-by-step explanation:
A. 1/4*2/2 = 2/8
B. 3/4*3/3 = 9/12 not10/12
C. 5/10*5/5 = 1/2
D. 10/12 divided by 2/2 = 5/6
What is -3 over 9 in standard form
Answer:
-1/3
Step-by-step explanation:
-3/9
= -1/3
what is the surface area of a sphere if the volume is 3000 pi
Answer:
228.95 cm2 / 229 cm2
Step-by-step explanation:
Volume of a sphere is given by;
V = (4/3)πr3
So in this question we have to find the radius of the sphere to enable us find the surface area.
Therefore let's find the radius using the volume formula;
3000π = (4/3)πr3
Divide through by (4/3)π
r3 = 2250
r =3√2250 (cube root of 2250)
r = 13.104cm2
Since we have gotten the radius, let's calculate the surface area using the formula;
A = (4/3)πr^2
= (4/3) × π × 13.104^2
= 228.95 π cm2 or 229 cm2
Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
Answer:
Step-by-step explanation:
James' truck uses 8 gallons of gas per day. He filled his tank up with 36 gallons of gas. How many days will James be able to drive using 36 gallons of gas?
Answer:
4.5
Step-by-step explanation:
36 ÷ 8 = 4.5
James will be able to drive for 4.5 days.
Mark me as brainliest please
James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
What is arithmetic maths ?Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.
We have,
James' truck uses gas per day [tex]=8[/tex] gallons
Tank has gas [tex]=36[/tex] gallons
Now,
According to the question,
Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]
[tex]=\frac{36}{8}[/tex]
Number of days James will drive[tex]=4\frac{1}{2}[/tex] days
Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.
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Which statement is true regarding the angles in the figure below?
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Option D is the correct one!
An exterior angle is an angle supplementary to one of the interior angles.
We have given that,
Triangle E D F. A diagonal line is drawn from point D to form an angle.
Angle D is an exterior angle because it shares a side with the triangle.
Angle D is an exterior angle because it is not inside the triangle.
Angle D is an exterior angle because it is formed by one side of the triangle and by extending another side of the triangle.
Angle D is not an exterior angle.
What is the exterior angle?an exterior angle is an angle between one of the sides and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
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Determino la altura de la torre de refrigeración de una central nuclear si se sabe que su sombra mide 271 m cuando los rayos solares forman un ángulo de 30°
Respuesta:
156,46 m
Explicación paso a paso:
Podemos obtener la altura de la torre de enfriamiento usando trigonometría;
Tan θ = opuesto / adyacente
Altura de la torre de enfriamiento = opuesto
Altura de la sombra = 271 m = adyacente
Tan 30 = opuesto / 271
Opuesto = 271 tan30
Altura de la torre de enfriamiento = 0.5773502 * 271
Altura de la torre de enfriamiento = 156,46 m
Please help me with this on the image
Answer:
hope this may help u
q. no (a)= 60%
(b)=55%
Answer:
a) [tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex] = .6 or 60%
b) [tex]\frac{11}{20}[/tex] = .55 or 55%
Step-by-step explanation:
Count the boxes.
[tex]\frac{shaded}{total}[/tex]
Divide and multiply by 100
what is 8/9 divide 2/3?
Answer:
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify the complex fraction.
4/3
Step-by-step explanation:
8/9 ÷ 2/3
Simplify
4/3 is the correct answer
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches. A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches. The resulting parallelogram has a base of approximately 9.22 inches.
Answer:
96
36
60
6.51
Step-by-step explanation:
Answer:96, 36, 60, 6.51
Step-by-step explanation:
a barge travel 17.5 miles Upstream on a river in 7 hours the return trip took the barge 5 hours what is the rate of the bars in Stillwater in miles per hour
A. 3.0
B. 0.5
C. 2.5
D 3.5
Using a deck of 52 playing cards, what are the odds against drawing a 6,7,8, or 9 ?
Select the correct answer.
What is the value of x in the triangle?
Answer:
The answer is A. 21
Hope it helps.
Step-by-step explanation:
• • •
3. Crystal has decided to drive her new car on the west coast from California to Washington, which is about 930
miles. She plans to drive her car an equal number of miles per day.
The number of days it will take her to get to Washington can be represented as a function of the distance
traveled per day. This function can be represented by the function (d) where W(d) is the number of
days it will take to get to Washington, and d is the distance traveled per day measured in miles per day.
=930/d
Select Yes or No to indicate whether the graph represents the number of days it will take Crystal to get to
Washington in her car, as a function of the distance traveled per day.
Answer:
The correct option is the first graph (Yes)
Step-by-step explanation:
The given function is W(d) = 930/d
Where;
W(d) = The number of days it would take to get to Washington
d = The distance travelled each day in miles
We note that the given graphs have number of days in the y-axis and the miles in the x-axis, and that in the function, the distance Crystal travels each day is constant, d, while the 930 is the total distance from California to Washington, while W(d) is the time
Therefore, the variables for crystal are W(d) and the part of 930 miles completed, while the constant is the speed, d = miles/day, which gives;
W(d) = 930/d
W(d) ∝ Part of 930 miles completed × Constant
∴ W(d) which is the time is directly proportional to the distance
The graph which represents the number of days, W(d) it will take Crystal to get to Washington (miles completed) as a function of distance traveled per day, d, which is constant is a straight line graph which is the first graph
hcf and lcm of 54,18,90
