Answer:
The standard deviation for the income of super shoppers is 76.12.
Step-by-step explanation:
The formula to compute the standard deviation for the grouped data probability distribution is:
\(\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}\)
Here,
x = midpoints
\(\mu=\sum x\cdot P(x)\)
Consider the Excel table attached below.
The mean is:
\(\mu=\sum x\cdot P(x)=32.3\)
Compute the standard deviation as follows:
\(\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}\)
\(=\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12\)
Thus, the standard deviation for the income of super shoppers is 76.12.
i will give Brainiest if you are right
Answer:
19.5º
Step-by-step explanation:
Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.
33.5 + 127= 160.5
180- 160.5 = 19.5
So, the angle F is 19.5º
Hope this helps !!
-Ketifa
Answer:
look at the picture I sent
Which statement describes what these four powers have in common?
Answer:rrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
yhrrrrrrrrrrrrrrrrrrrrrrrrrr
How to calculate Standard Error of the Y intercept and standard error of the slope, given the table below, without the SE coefficient given.
Answer:
Step-by-step explanation:
the stabdard error is given with the se coefficient snf the y slope
Can someone please help, ty!!
Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.
Yes, Matrix B is invertible.
And, The eigenvalues of B−1 are;
⇒ (5 ± 7.68) / 14 - 1
What is mean by Matrix invertibility?An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.
Given that;
B be a 2 ×2 matrix such that;
⇒ 7B² −5B + 3I = 0
Now,
Since, B be a 2 ×2 matrix.
And, The expression is,
⇒ 7B² −5B + 3I = 0
⇒ B² −5/7B + 3I/7 = 0
Multiply by B⁻¹, we get;
⇒ B - 5/7 + 3B⁻¹ = 0
Solve for B⁻¹;
⇒ 3B⁻¹ = - B + 5/7
⇒ B⁻¹ = - B/3 + 5/21
Thus, The matrix B is invertible.
And, The eigen value of B are;
⇒ 7B² −5B + 3I = 0
⇒ 7B² −5B + 3I = 0
⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7
⇒ B = 5 ± √25 - 84/14
⇒ B = 5 ± √- 59 / 14
⇒ B = 5 ± 7.68 i / 14
⇒ B - 1 = (5 ± 7.68) / 14 - 1
Thus, Matrix B is invertible.
The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1
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Need a answer someone helps me
Answer: 3x - 2 + 7x - 6 + x, 46°, 118°, 16° in that order
Step-by-step explanation:
We know that the sum of the angles in a triangle is 180° so we can write the equation
(3x - 2) + (7x + 6) + x = 180
3x + 7x + x - 2 + 6 = 180
11x + 4 = 180
11x + 4 - 4 = 180 - 4
11x = 176
x = 176 ÷ 11 = 16 meaning that angle N = x = 16°
From here we can work out angle L = 3x - 2 = 3 × 16 - 2 = 48 - 2 = 46°
And angle M = 7x + 6 = 7 × 16 + 6 = 118°
I don't have enough time to do this because I have plans
326 divided by 0.24 to the nearest hundredth is 1358.33
How to divide 326 by 0.24To divide 326 by 0.24 and round the result to the nearest hundredth, we can perform the following calculation:
326 ÷ 0.24 = 1358.3333
Rounding to the nearest hundredth means we need to look at the third decimal place.
So 326 divided by 0.24 to the nearest hundredth is 1358.33.
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You roll a fair 6-sided die.
You might need:
What is P(not 5)?
If necessary, round your answer to 2 decimal places.
Answer:Step-by-step explanation:
the dice has one five, so the answer is 5/6
Step-by-step explanation:
Answer:
the answer is 5/6
Step-by-step explanation:
its the right answer
what percent of the population has an IQ score between 115 and 130?
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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7 to the power of -3
Answer:
one over 343 hope this helps
Step-by-step explanation:
3•f(-4)-3•g(-2)=?
Help please
Answer:
-27
Step-by-step explanation:
Whats the ratio of 40 to 30 I need help
Answer:
Answer: 75%
Step-by-step explanation:
I’m confused, how do I create a dot-plot with only one number in the tens?
The dot represents the data point of 5, and there are no other data points to include on the dot plot.
You can still make a dot plot even if you just have one number in the tens by placing a dot on a number line above the number. If your data point is 5, for instance, you can represent it by placing a dot above the tick mark for 5 on a number line that has tick marks for each integer from 0 to 9. Here is an illustration of how the dot plot might appear:
|
5 •
|
|
|
|
|
|
|
|
+ - - - - - - -
0 1 2 3 4 5 6 7
There are no additional data points to place on the dot plot because the dot in this illustration represents the data point of 5.
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What number must be multiplied on both sides in order to isolate x on the left side of the equation?
2
²x=5
Do not actually solve the equation.
...
No number needs to be multiplied on both sides of the equation to isolate x, we can instead take the square root of both sides and then divide by 2.
How to isolate xTo isolate x on the left side of the equation, we need to get rid of the exponent 2.
To do this, take the square root of both sides of the equation
√(2²x) = √5
2x = √5²
2x = 5
divide both sides by 2:
2x/2 = 5/2
x = 5/2
Thus, no number needs to be multiplied on both sides of the equation to isolate x, we can instead take the square root of both sides and then divide by 2.
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Jacqueline took out a personal line of credit in her senior year of college with an annual simple interest rate of 4%.she takes 51 months to pay off the loan in full and pays 1530 in interest. A. How much was the original line of credit amount.B. How much did Jacqueline pay in total.
Given data:
The given annual interest is r=4%.
The given time is t=51 months= 4 year+3 months=4.25 years.
The interest ammount is i=1530.
A)
The expression for the simple innterest is,
i=(Prt)/100
Substitute the given values in the above expression.
1530=P(4)(4.25)/100
P=9000.
Thus, the original amount credit is 9000.
B)
The expression for the total amount is,
A=P+i
Substitute the above calculated values.
A=9000+1530
=10530
Thus, the total amount is 10530.
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
5
10
Joe borrowed $7,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay
in 3 years?
In 3 years, Joe pays $
in interest.
Answer:
f h f
Step-by-step explanation:
jikdmj n
Sketch a plane region and indicate the axis about which it is revolved so that the resulting solid of revoltuion (found using the shell method) is given by the integral.
π
2π∫ xsinx dx
0
Answer:
See attached picture.
Step-by-step explanation:
The idea of the shell method is to find the volume of a differential shell by using the formula:
\(V=2\pi\int\limits^a_b {rh} \, dr\)
in the drawing we can see that r=x, h=sin x and dr=dx. The area is revolving about the y-axis from x=0 to \(x=\pi\). So the volume is found by using the following integral:
\(V=2\pi\int\limits^\pi_0 {xsin x} \, dx \)
Please simplify 6p-2q+4r-2p+3s+5q
Answer:
\(6p - 2q + 4r - 2p + 3s + 5q\)
group the like terms together:
\( = (6p - 2p) + ( - 2q + 5q) + 4r + 3s\)
simplify:
\( = { \boxed{ \boxed{4p + 3q + 4r + 3s}}}\)
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x-12y=12
Answer:
\(y=\frac{1}{6}x-1\)
Step-by-step explanation:
The slope-intercept form is y=mx+b, where m is the slope of the line and b is the y-intercept.
For this problem, the equation can be manipulated into the desired form:
\(2x-12y=12\\2(x-6y)=12\\\frac{2(x-6y)}{2}=\frac{12}{2}\\x-6y=6\\(x-6y)+6y=(6)+6y\\x=6+6y\\x=6(1+y)\\(\frac{1}{6})x=\frac{6(1+y)}{6}\\\frac{1}{6}x=1+y\\(\frac{1}{6}x)-1=(1+y)-1\\y=\frac{1}{6}x-1\)
Q2) What are the rules for probability distributions ? I
Answer:
Probability Distributions
A listing of all the values the random variable can assume with their corresponding probabilities make a probability distribution.
A note about random variables. A random variable does not mean that the values can be anything (a random number). Random variables have a well defined set of outcomes and well defined probabilities for the occurrence of each outcome. The random refers to the fact that the outcomes happen by chance -- that is, you don't know which outcome will occur next.
Complete the algebra tile grid to model the product of (x + 2)(x – 3).
Answer: x^2 -x-6
Step-by-step explanation:
Mat
The product of (x + 2)(x - 3) is x² - x - 6
What is algebraic expression?"It is a mathematical statement which consists of constants, variables and mathematical operations."
For given question,
We have been given an algebraic expression (x + 2)(x - 3)
We need to find the product of (x + 2)(x - 3).
(x + 2)(x - 3)
= x (x - 3) + 2(x - 3)
= x² - 3x + 2x - 6
= x² - x - 6
Therefore, the product of (x + 2)(x - 3) is x² - x - 6
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Heracio used the computer 4 more hours to do homework than shop online.
How to solve the proportionTo find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.
Let's start by calculating the number of hours Heracio spent on each activity:
Shopping: 10% of 40 hours = 4 hours
Videos: 15% of 40 hours = 6 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 4 hours (shopping) = 4 hours
Therefore, Heracio used the computer 4 more hours to do homework than shop online.
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Please answer the question in the photo :)
Answer:
it is correct I think it's right
Step-by-step explanation:
Which congruency statement is correct based on the diagram?
O ¤PQN = ¤TSR
Ο ¤PQN = ¤STR
O ¤NQP = ¤STR
O ¤NQP = ¤RST
Answer:
pqn = str
it is option B
hope it helps
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
PLZ HELP ITS DUE IN 28 MINUTES
Answer:
I think y and z = 45
in a certain school there are 180 pupils in the year7,110 pupils study french,88 study German , and 65 indonesian.40 pupils study both french and German,38study German and Indonesian,and 26 study both french and Indonesian,while 19 study German only.find the number of pupils who study
a)All three languages
b) Indonesian only
c)none of the languages
d)at least one language
e) either one or two of the three languages
Answer:
(a) All three languages - 9
(b) Indonesian only - 10
(c) none of the languages - 12
(d) At least one language - 168
(e) Either one or two of the three languages - 159
Step-by-step explanation:
The question require the knowledge of Set theory and its Formulas.
Total pupils = 180
French (Let F) = 110
German (Let G) = 88
Indonesian (Let I) = 65
French and German (F intersection G) = 40
German and Indonesian (G intersection I) = 38
French and Indonesian (F intersection I) = 26
German only = 19
(a) All three languages
We are given only German speaking people are 19
Only German = n(G) - n( F intersection G) - n(G intersection I) + n(F intersection G intersection I)
19 = 88 - 40-38 + n(G intersection I) + n(F intersection G intersection I)
n(G intersection I) + n(F intersection G intersection I) = 9
n(G intersection I) + n(F intersection G intersection I) represents the number of pupils speaking who study all the three languages.
(b)Indonesian only
n( I) - n(G intersection I) + n(F intersection I) + n(G intersection I) + n(F intersection G intersection I)
65 - 38 - 26 + 9 = 10
So 10 pupils speak Indonesian only
(c)none of the languages
It will be equal to Total - pupils speaking any of the three languages
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
So 168 pupils speak any of the three languages
None speakers = 180 - 168 = 12 pupils
So 12 pupils do not speak any of the three languages.
(d)at least one language
At least one language has the meaning that the person can either speak one two or all three languages, so it will be same as we proceeded above
Any of the three languages = (F union G union I)
= n(F) +n(G) + n(I) -n(F intersection G) - n(G intersection I) -n(F intersection I)
+ n(F intersection G intersection I)
n(G intersection I)
= 110 + 88 + 65 -40 -38-26 + 9
= 263 - 95
= 168
(e) either one or two of the three languages
Pupils can speak one or two language but not all the three so will subtract all the three language speaker from the total.
Total speaker = 168
All three languages speaker = 9
Either one or two of the three languages speaker = 168 - 9 = 159
Sheila counted 9 blue jays and 21 sparrows at the bird feeder. What was the ratio of blue jays to sparrows?
Answer:
9/21
= 1/7
Step-by-step explanation:
ratio means the comparison of two things