Answers
Answers:
Sample Variance = 31.03
Sample Standard Deviation = 5.57
See the table below.
===================================================
Explanation:
M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.
For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.
Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.
Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.
--------------------------------------------------------------------------
After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].
This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03
This is the sample variance.
The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.
Related Questions
On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?
Answers
Answer:
32
Step-by-step explanation:
What is the slope of a line that goes through the points (3, 7) and (8, 11)
Question 4 options:
11/7
5/4
−8/3
4/5
Answers
Answer:
5/4
Step-by-step explanation:
Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.
What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32
Answers
Answer:
B
Step-by-step explanation:
Explanation: Because 3/8 divide -5/12 goes to 3/8 times -12/-5 which then leads to 36/-40. Divide by 4. Which would then equal to -9/10.
I hope this helps
Use the equation A = bh to calculate the height of a parallelogram with an area of 36 square inches and a base of 9 inches
Answers
Answer:
4 inches
Step-by-step explanation:
A = b x h
A = 36
b = 9
36 = 9 x h
4 = h
height = 4 inches
This is just a question to answer to boost your points. (students who need points to find answers only!)
What is the correct answer to 5x5/2?
Answers
Answer:
it would be 12.5
Step-by-step explanation:
brainly deleted my answer from before
12,-24, 48, -96,
determine the next term for each sequence
Answers
Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x^2
Answers
Answer:
The function is even
good luck
the table shows some ordered pairs that belong to quadratic function h
Answers
The table represents the quadratic function h(x)
The range of the quadratic function is (d) all real numbers greater than or equal to -8
How to determine the range?The range of the quadratic function is the list of the function ouput values.
From the table, we have:
The smallest output value is -8
Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8
Read more about range at:
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0=x^2-8x-32 solve by completing the square
Answers
Answer:
x = 4.65 or x = -0.65 (to 2 d.p)
Step-by-step explanation:
To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c
In this case, x² - 8x - 32 = (x - 4)² - 16 - 32This simplifies to (x - 4)² - 48 = 0To solve this:
First, add 48 to both sides → (x - 4)² = 48Next, square root both sides → x - 4 = ± √48 (remember that the square root of a number always has a positive and negative value)Finally, add 4 to both sides → x = 4 ± √7x has 2 solutions
x = 2 + √7 or x = 2 - √7
x = 4.65 or x = -0.65 (to 2 d.p)
Hope this helps!
Answer:
x = 4 ± 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
x² - 8x - 32 = 0 ( add 32 to both sides )
x² - 8x = 32
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 32 + 16
(x - 4)² = 48 ( take square root of both sides )
x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )
x = 4 ± 4[tex]\sqrt{3}[/tex]
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answers
Answer:
3.26
Step-by-step explanation:
33.5/3.14 = 10.66 ( when rounded to the nearest tenth).
10.66 square rooted is 3.26
The required radius of the sphere is 2 inch.
Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.
Volume, is defined as mass gained per unit cube of density.
Here, area of sphere = [tex]4/3\pi r^3[/tex]
33.5 = 4/3 πr³
r³ = 33.5 * 3/4π
r = 2
Thus, the required radius of the sphere is 2 inch.
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find area of rhombus . please./.
Answers
Answer: 126
Step-by-step explanation:
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
–4, –3, 2, 3, 4
Which are actual roots of f(x)
Answers
Answer:
The answer is 3 and (-4).
Step-by-step explanation:
We are given an equation 2x² + 2x – 24.
Let us assume that the equation is equal to zero.
2x² + 2x – 24 = 0
Now, divide whole equation by 2 we get,
x² + x – 12 = 0
x² + 4x – 3x – 12 = 0
x(x + 4) – 3(x + 4) = 0
(x – 3) (x + 4) = 0
x = 3, -4
Thus, The actual roots of f(x) are 3 and (-4).
Answer:
-4 AND 3
Step-by-step explanation:
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers
Answers
Answer:
26 is a:
B. Whole number
D. Natural number
E. Integer
F. Rational number
Answer:
B, C, D, E, F or all options except A
Step-by-step explanation:
26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on
26 is a whole number.
whole numbers are 0 1 2 3 4 and so on
26 is a real number
imaginary number example: sqrt of -2
natural numbers are numbers going from 1 to infinity
integers are any number that is not a decimal.
26 is rational since it's not irrational.
On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 270 on the exam.
Answers
Answer:
z = -1.5
Step-by-step explanation:
To Find z-score
z = (X - μ) / σX = Test scoreμ = Mean σ = Standard DeviationGiven
X = 270μ = 300σ = 20Solving
z = 270 - 300 / 20z = -30/20z = -1.5help please, I need it fast
Answers
Answer:
(d) 1 / 2^8
this is the answer
both equations answers are kind of same, so (d) is the answer for your question
if this helped you please brainliest?
Answer:
A
Step-by-step explanation:
using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A
find the perimeter of polygon
Answers
Answer:
22
Step-by-step explanation:
4+7+4+7=22
A parking garage charges a fixed amount of money for each hour that it is used.
Answers
It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.
Answers
Answer:
6/5
Step-by-step explanation:
Let size 4 football radius = x,
and size 5 football radius = y,
Volume of size 5 = Volume of size 4 × (1 + 0.728)
Using the sphere volume formula,
V = (4/3)πr³
(4/3)πy³ = (4/3)πx³ × (1.728)
y³ = 1.728x³
y = ³√1.728 x
y/x = 6/5
Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5
Answer:
6/5
Step-by-step explanation:
What is the sum? 2x/x2 + x-4/9x
Answers
Answer:
(x² + 14x)/(9x²)
Step-by-step explanation:
To do this calculation process:
The first term: 2x/x² = 2/x.
Then: (2/x) + (x - 4)/(9x).
We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.
So, it will be equal:
[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².
i need help with this
Answers
Two independent variables that can affect the cost of the supplies are:
x = number of pencils bought.y = number of notebooks bought.What is an independent variable?An independent variable is a variable that can change freely.
For example in the given situation, we could define the independent variables:
x = number of pencils bought.y = number of notebooks bought.Notice that these variables are independent because these don't depend on each other.
Then if each pencil costs A, and each notebook costs B, the cost function will be:
C(x, y) = A*x + B*y
So there you have two independent variables that affect the cost of the supplies.
If you want to learn more about independent variables, you can read:
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Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...
Answers
Answer:
5.5
Step-by-step explanation:
13.75 divided by 2.5 = 5.5
What is the answer this math problem. -6+ -(8x - 3)
Answers
Answer:
x = -3÷8
or x = -0.375
Explanation:
-6+ -(8x-3)= -6-8x+3
= -8x -3
-8x-3= 0
-8x = 3
8x = -3
x = -3÷8
what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answers
Answer:
160
Step-by-step explanation:
72=0.45x
72/0.45=x
x=160
Choose the correct answer in each number.
1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above
2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net
3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six
4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above
5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above
6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere
7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh
8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone
9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit
10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)
Answers
Answer:
A
B
A
C
D
C
A
B
B
D
Step-by-step explanation:
The measure of Vis 94°. What is the measure of _XYZ, the tangent-chord angle? O A. 440 X O B. 47° C. 1889 2 Z O D. 940
Answers
Answer:
B
Step-by-step explanation:
the tangent- chord angle XYZ is half the measure of its intercepted arc XY
∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°
Answer:
I think that the correct answer would be B. 47 degrees
Step-by-step explanation:
hope this helps
pls mark brainliest
Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)
Answers
Answer:
x = 5
Step-by-step explanation:
Given coordinates: (3, 4) (x, 6)
Slope: 1
Use the slope formula to find the value of x:
Slope = y2 - y1 / x2 - x1
Substitute the given information into the formula:
1 = [tex]\frac{6-4}{x-3}[/tex]
1 = [tex]\frac{2}{x-3}[/tex]
Multiply both sides of the equation by the common denominator:
[tex]\frac{2(x-3)}{x-3} = x-3[/tex]
Reduce the fraction:
2 = x - 3
Rearrange variables to the left side of the equation:
-x = -3 - 2
Calculate:
-x = -5
Divide both sides with the coefficient of the variable:
x = 5
hope this helps!! p.s. i really need brainliest :)
Answer:
x = 5
Step-by-step explanation:
Slope formula
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]
[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]
[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]
As the slope equals 1:
[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]
Therefore, x = 5
state how the graph will change
Answers
Hi can someone plss help me with these 2 questions. Im really struggling with them.
Answers
Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.
What is health?It should be noted that health simply means the state of being free from illness or diseases.
In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.
Learn more about health on:
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Find the length of the third side. If necessary, round to the nearest tenth
Answers
Answer:
9.21954445729
Step-by-step explanation:
A^2 + B^2 = C^2
7^2 = 6^2 = 85
The square root of 85 is...
9.21954445729
6^2+7^2
36+49
85=x^2
x=9.2
Express as a fraction in the simplest form: 43.5%
a. 435/1000
b. 870/200
c. 87/200
Answers
Answer:
C
Step-by-step explanation:
43.5 x 10 = 435
435/1000 = 87/200 (simplified)