The standard deviation of the sample mean differences is 4.854
How to determine the standard deviation of the sample mean differences?The table of values is given as:
Sample Standard deviation
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]
This gives
[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]
Evaluate the expression
[tex]\sigma = 4.854[/tex]
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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Which expression is equivalent to (4mn/m^-2n^6)^-2
The expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]
How to determine the equivalent expression?The expression is given as:
(4mn/m^-2n^6)^-2
Apply the law of indices
[tex](4m^{1 + 2}n^{1-6})^{-2[/tex]
Evaluate the sum and the differences
[tex](4m^{3}n^{-5})^{-2[/tex]
Apply the negative exponent
[tex]\frac{1}{16m^{2*3}}}n^{5*2}[/tex]
Evaluate
[tex]\frac{1}{16m^{6}}n^{10}[/tex]
Rewrite as:
[tex]\frac{n^{10}}{16m^{6}}[/tex]
Hence, the expression that is equivalent to (4mn/m^-2n^6)^-2 is [tex]\frac{n^{10}}{16m^{6}}[/tex]
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(6+9i)(6-9i) How to solve?
[tex]~~(6+9i)(6-9i)\\\\=6^2-(9i)^2~~~~~~~~~~~~~~~~~~~;[a^2-b^2 =(a+b)(a-b)]\\\\=36-81i^2\\\\=36-81(-1)~~~~~~~~~~~~~~~~;[i^2 = -1]\\\\=36+81\\\\=117[/tex]
Solve using the quadratic formula. (2 points)
20. -2x²-3x + 5=0
Answer:
-2x²-3x+5=0
-2x²+2x-5x + 5 = 0
-2x(x+1)-5(x + 1) = 0
(x+1) (-2x-5) = 0
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,
Simplify the expression: 4+(11-3)²
Answer:
68
Step-by-step explanation:
[tex]4+\left(11-3\right)^2\\(11-3)=8\\=4+8^2\\=4+64\\=68[/tex]
which description is represented by a discrete graph
The statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
What is Discrete Graph?A discrete graph is one with scattered points. They may or may not show a direction or trend. They don't have data in between the points already given.
Here only first option shows a graph with scattered point.
Thus, the statement: "Kiley bought a platter for $ 19 and several matching bowls that were $ 8 each. What is the cost before tax?" shows discrete graph.
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1. A basketball has a volume of 167 in³. What is the circumference of the basketball, in terms of ? Show your work.
Answer:
21.47034391
by using the formula of volume i found radius and after that i use the formula of circumference and found it
hope you will understand
volume=4/3πr^3 and circumference= 2πr
Multiple Choice Worth 5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x?
40⁰
D
B
70°
O 100 degrees
O 110 degrees
120 degrees
O 140 degrees
Answer:
110 is the correct answer...
How would you solve this problem step by step ?
4√15(2√2 + √5)
[tex]~~4\sqrt{15} \left( 2\sqrt 2 + \sqrt 5 \right)\\\\=8\sqrt{15} \sqrt 2 + 4\sqrt{15} \sqrt 5\\\\=8\sqrt{15\times 2}+4 \sqrt{15 \times 5}\\\\=8\sqrt{30}+4\sqrt{3 \times 5 \times 5}\\\\=8\sqrt{30} + 4 \sqrt{3\times 5^2}\\\\=8\sqrt{30} + 4\cdot 5 \sqrt 3\\\\=8\sqrt{30} +20\sqrt{3}[/tex]
Anya graphed the line (y−2)=3(x−1) on the coordinate grid.
A coordinate plane with a line passing through the points, (negative 2, negative 7), (0, negative 1), and (1, 2).
What is the slope of Anya’s line?
The slope of Anya’s line on the graph is 3
How to determine the slope of the line?The equation is given as:
(y−2)=3(x−1)
Remove brackets
y − 2 = 3x − 3
Add 2 to both sides
y = 3x − 1
A linear equation is represented as:
y = mx + c
Where m represents the slope;
By comparison, m = 3
Hence, the slope of Anya’s line is 3
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Answer:
3
Step-by-step explanation:
its right
In a a computer game positive numbers represent earning points and negatiive numbers represents.wich number represents losing more than 500 points
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that represents losing more than 500 points is x<-500.
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given In a computer game positive numbers represent earning points and negative numbers represent losing points. Therefore, the loss of more than 500 points is given by the inequality,
x< -500
Hence, the expression that represents losing more than 500 points is x<-500.
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A golf ball, thrown upwards, rises at a speed of v metres per second.
The ball reaches a maximum height of h metres.
h is proportional to the square of v.
When v = 10, h = 8
Work out the maximum height reached by the golf ball when v = 45
Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so [tex]v_1^2/h_1 = v_2^2/h_2[/tex] where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
53, 13, 34, 41, 26,61, 34, 13,69 mean median mode and range
Answer:
mean 38.22
median 34
mode 13 & 34
range 56
Step-by-step explanation:
mean- add all values together and divide by number of values
median- order from least to greatest find the middle value
mode- the value that appears most often, can be more than one value
range- smallest value subtracted from the largest
what is measured by the speed of doing work
Power is often measured in joules of work per second
PLEASE PLEASE HELP ITS MY FINAL GRADE PLEASE PLEASE
According to it, each package of Milk Chocolate M&M's should contain 24% blue,
14% brown, 16% green, 20% orange, 13% red, and 14% yellow M&M's. Based on
this information determine the amount each color of M&M's would be in a bag of
M&M's
Answer:
See below
Step-by-step explanation:
Given there are 56 M&M's:
Expected Value of Blue = 56(0.24) = 13.44Expected Value of Brown = 56(0.14) = 7.84Expected Value of Green = 56(0.16) = 8.96Expected Value of Orange = 56(0.20) = 11.20Expected Value of Red = 56(0.13) = 7.28Expected Value of Yellow = 56(0.14) = 7.84Remember to use [tex]np[/tex] to calculate expected value! This will especially be helpful if you are conducting a chi-squared test of independence.
i need help please thanks
5. Jared is playing a game that involves rolling a die and flipping a coin. 6. Please describe an event that may occur in this game. 7. What is the probability that he will roll a 5 and get a head
An event that may occur in the game is you roll a and get a tail.
The probability that he will roll a 5 and get a head is 1 / 12.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that he will roll a 5 and get a head = (Number of sides with a 5 / number of sides in a cube) x (number of sides with a head / number of sides in a coin)
1/6 x 1/2 = 1 / 12.
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Choose the function whose graph is given by
Answer:
cos(x)+1 or cos x + 1
Step-by-step explanation:
The wave starts at y=2 this means it is a cosine function, then the first positive x-intercept is at about (pi, 0) which is about 3, this leads to cos x + 1 as the answer.
If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (StartFraction u Over v EndFraction) (x)?
x3 – x2
–x3 + x2
–x3 + x2 – 1
x3 – x2 + 1
Based on the calculations, an expression which is equivalent to [u/v](x) is: C. -x³ + x² - 1.
Given the following data:
u(x) = x⁵ – x⁴ + x²v(x) = -x²What is an expression?An expression is a mathematical equation which is used to show the relationship that exist between two or more numerical quantities or variables.
In this exercise, we would evaluate the given expressions by factorizing the function u(x) as follows:
u(x) = x⁵ – x⁴ + x²
u(x) = x²(x³ – x² + 1)
Rewriting the expressions as a fraction, we have:
[tex]\frac{u(x)}{v(x)} = \frac{x^2(x^3 - x^2 + 1)}{-x^2}\\\\\frac{u(x)}{v(x)} = -(x^3 - x^2 + 1)\\\\\frac{u(x)}{v(x)} = -x^3 + x^2 - 1[/tex]
Therefore, u(x)/v(x) = -x³ + x² - 1.
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Answer:
c
Step-by-step explanation:trust
True or False? A circle could be circumscribed about the quadrilateral below.
O A. True
B. False
A circle could be circumscribed about the quadrilateral is true.
What is Quadrilateral?A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points
If opposite angles of a quadrilateral add to 180 then it is called a cyclic quadrilateral and a circle can be inscribed in it.
Here, the opposite sides are 115 and 65
115+65=180
The other opposite sides have 90 and 90
90+90=180, which means that it is true that a circle can be circumscribed about the quadrilateral above.
Hence, A circle could be circumscribed about the quadrilateral is true.
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I NEED HELP ASAP Which graph represents the function?
f(x)=√x + 1
Answer:
Step-by-step explanation:
It looks like the best option is 3.
Given the equation,
we can make a table. x as input and y as output to get our points to the graph.
I have used the desmos graph as a reference to confirm the equation by graphing also. The table is also there.
Answer this for 28 points
Answer: I think B
Step-by-step explanation:
1. Basketball practice begins at 6:30 P.M. and
lasts until 8:15 P.M. How much time does
practice last?
Let R be the region in the first quadrant enclosed by the graph y=(square root(6x+4)), the line y=2x, and the y-axis. . . .Set up but do not integrate an integral,expression in terms of a single variable for the volume of the solid generated when R is revolved about the y axis
The two boundary curves y = √(6x + 4) and y = 2x meet at
√(6x + 4) = 2x
6x + 4 = 4x²
2x² - 3x - 2 = 0
(x - 2) (2x + 1) = 0
⇒ x = -1/2 and x = 2
R is bounded to the left by the y-axis (x = 0), so R is the set
R = {(x, y) : 0 ≤ x ≤ 2 and 2x ≤ y ≤ √(6x + 4)}
Using the shell method, the volume is made up of cylindrical shells of radius x and height √(6x + 4) - 2x. So each shell of thickness ∆x contributes a volume of
2π (radius) (height) ∆x = 2π x (√(6x + 4) - 2x) ∆x
and as we let ∆x approach zero, the total volume of the solid is given by the definite integral
[tex]\displaystyle \boxed{2\pi \int_0^2 x \left(\sqrt{6x + 4} - 2x\right) \, dx}[/tex]
37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280
The equation that models the scenario is 16p+32q = 1,280.
Which equation models the scenario?Addition is the mathematical operation that is used to determine the sum of two or more numbers.
The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :
Total pint + total quart = total ounces
16p+32q = 1,280.
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What is GC?
A. 9
B. 12
C. 13
D. 14
Answer:
C 13
Step-by-step explanation:
i think answer its c
Answer:
nah man it's 12without a doubt look over at d a that's 13 if you compare the to gc is smaller in length so it is 12
1. How many solutions does the equation have?
8x −6(2x − 2) = -12 + 2x + 15
-
No Solutions
One Solution
OTwo Solutions
An infinite number of solutions
Direction: Read and understand each problem and solve. Show your solution if necessary.
1. There are 3 gold medalist, 5 silver medalist and twelve bronze medalists. One student is randomly chosen for an interview. Find the probability that the student is a silver medalist.
2. A letter is chosen from the word MATHEMATICS. What is the probability that the letter is?
a. consonant?
b. vowel?
c. not a letter A?
3. Suppose the probability that a television is defective is 0.123. What is the probability that a television is not defective?
[1] 0.25, 0.25%, or [tex]\frac{1}{4}[/tex]
We will divide the number of wanted outcomes by possible outcomes.
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{5}{3+5+12} =\frac{5}{20} =\frac{1}{4}[/tex]
[2]
We will follow the same steps as problem 1.
MTHMTCS = 7 consonants
AEAI = 4 vowels
MTHEMTICS = 9 letters that are not A's
MATHEMATICS = total of 11 letters
(a)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{7}{11}[/tex]
(b)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{4}{11}[/tex]
(c)
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{9}{11}[/tex]
[3] 0.877
If the probability that a television is defective is 0.123, then the probability that a television is not defective is:
1 - 0.123 = 0.877
Solve the inequality.
|6p+3|>15
A. p>-2 or p<3
B. p<2 or p>-3
C. p<-2 or p>3
D. P>2 or p<-3
Answer:
D. P>2 or p<-3Step-by-step explanation:1. Apply absolute rule :
6p + 3 < -15 or 6p + 3 > 15
2.6p + 3 < -15 or 6p + 3 > 15P < - 3 or P > 2
somebody pls help me with this question pls