Answers
Answer:
Hello,
Step-by-step explanation:
[tex]\overline{x}=3262\\\sigma=1100\\\\P(x\geq 1000)=P(x\leq 3262+(3262-1000))=P(x\leq 5524)\\\\z=\dfrac{x-\overline{x}}{\sigma} =\dfrac{5524-3262}{1100} =2.05\overline{63}\\\\\\P(z\leq 2.05)=0.9789\\\\P(z\leq 2.06)=0.9803\\\\\\\boxed{0.9789\leq P\leq 0.9803}\\\\\\[/tex]
[tex]P(x\leq 4000)=P(z\leq \dfrac{4000-3262}{1100} )=P(z\leq 0.67\overline{09})\\\\P(z\leq 0.67)=0.7486\\P(z\leq 0.68)=0.7517\\\\0.7486\leq P\leq 0.7517\\[/tex]
Related Questions
what is the area and perimeter of the figure below?
Answers
Answer:
the perimeter is : 40
the area is: 10,000
What is the product of these two binomials?
(x2 - 5)(2x - 1)
Select the correct answer.
o 2x3 - x2 + 10x - 5
O 2x3 - x2 - 10x-5
o 2x3 - x2 - 10x + 5
o 2x3 - x2 + 10x + 5
Answers
Answer:
2x³ - x² - 10x + 5
Step-by-step explanation:
Use FOIL method.
(x² - 5) (2x - 1) = x²*2x +(x²)*(-1) + (-5)*(2x) + (-5)*(-1)
= 2x³ - x² - 10x + 5
A math class has a total of 31 students. The number of females is seven less than the number of meals. How many miles and how many females are in the class?
Answers
Answer:
Male-19&Female-13
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
PLEASE HELP MATH
Find the interquartile range of the data shown on the box-and-whisker plot below.
Answers
Answer:
Step-by-step explanation:
to find an interquartile range of the data in order to proceed with it.
ans:
53 + 1 = 54
57 - 3 = 54
24 + 30 = 54
29 + 25 = 54
The interquartile range of the data shown on the box-and-whisker plot will be 29.
How to find the interquartile range?IQR(inter quartile range) is the difference between third and first quartile.
Usually, we use interquartile range along with two quartiles Q1 and Q3 to get the anomalies.
Those values who lie below Q1 - 1.5 xIQR or above Q3 + 1.5 xIQR are called anomalies.
But since in the case when these things are not obtainable, we check manually which point is lying away from mean or outside of usual range etc.
In order to find an interquartile range of the data in order to proceed with it.
In the box-and-whisker plot given:
Upper quartile = 54
Lower quartile = 25
Interquartile range (IQR)
54 - 25 = 29
Therefore, the interquartile range of the data shown on the box-and-whisker plot will be 29.
Learn more about the interquartile range on:
brainly.com/question/4102829
#SPJ2
Which equation is equivalent to the formula below?
Answers
Answer:
option C is best.
Step-by-step explanation:
y=a(x-h)^2+k
y-k=a(x-h)^2y
y-k/(x-h)^2=a
How much money will there be in an account at the end of 10 years if $4000 is deposited at 6% compounded quarterly
Answers
Answer:
$7,256.07
Step-by-step explanation:
A = p(1+r/n)^nt
A = 4000(1+.06/4)^(10*4)
If the statement is true, type true in the space provided. If it is false, replace the underlined
word(s) with the word(s) that will make the statement true.
* The associative (associative is underlined) property is used on the following expression: 2 + 3 = 3 + 2.
Answers
Do you think we would have had a civil war to end slavery if we had not expanded west and taken territory from Mexico? Thinking about Manifest Destiny, the Texas Revolution, and The Mexican American War, do you think the choice to expand sparked a civil war or do you think westward expansion had nothing to do with the civil war?
Answers
Which pair of numbers has an LCM of 8
Answers
Answer:
2,8
Step-by-step explanation:
how do I do this?????????????????????????????
Answers
Solve for X and show your work and explain please
Answers
Answer: x = 45
Step-by-step explanation:
Given
(2/3)x + 4 = (4/5)x - 2
Add 2 on both sides
(2/3)x + 4 + 2 = (4/5)x - 2 + 2
(2/3)x + 6 = (4/5)x
Subtract (2/3)x on both sides
(2/3)x + 6 - (2/3)x = (4/5)x - (2/3)x
6 = (12/15)x - (10/15)x
6 = (2/15)x
Divide 2/15 on both sides
6 / (2/15) = (2/15)x / (2/15)
[tex]\boxed{x=45}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x = 45
Step-by-step explanation:
2/3 x + 4 = 4/5x - 2 Add 2 to both sides
2/3 x + 4 + 2 = 4/5x Combine
2/3x + 6 = 4/5x Subtract 2/3 x from both sides.
6 = 4/5x - 2/3 x Multiply both sides by 15
6*15 = 4/5 x * 15 - 2/3x * 15
6*15 = 12x - 10x Combine the left and right
90 = 2x Divide by 2
x = 45
Let's see if it works.
LHS = 2/3 * 45 + 4
LHS = 2*15 + 4
LHS = 30 + 4
LHS = 34
RHS
Right hand side = 4/5 * 45 - 2
RHS = 36 - 2
RHS = 34 which is the same as the LHS
An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtained from a sample are shown.
Number of absences
26
29
32
34
36
37
Final grade
48
68
66
69
76
67
Answers
The Question is solved with a simple linear equation and is explained as follows:
Simple linear equation is :
Y = 86.784 - 2.67x
The educator wants to see the relationship between no of absences and final grades of the student.
No. of absence of student is independent variable while final grade is dependent variable.
The final grades of the student are dependent on the no. of absence they do.
b = Sxy / Sxx
b = { 2312 [ 37 * 422 ] / 6 } / 337 - 37^2 / 6 = -2.67
a = -2.67 * 37/6 = 86.784
Learn more at https://brainly.com/question/24319270
15 more than 2 times a number is equal to -14. Find the number.
please help asap and thank you in advance!
Answers
Answer:
The number is - 14.5
Step-by-step explanation:
Let the number be x.
ATQ, 15+2x=-14, x=-29/2=-14.5
Find the mean 9,1,8,3,2,1 graphically.
Answers
21+3
24
24/6
The mean is 4
Find the slope of the line containing the points (5, 3) and (-7, 2).
Answers
the cost of 1 kg tomato is RS . 75.Find the cost of 14 kg
Answers
Answer:
Cost of 1kg tomato=rs.75
Cost of 14kg tomato=(75×14)
rs.1050
PLease help me multiply and divide these two fraction problems I don't understand at all.
Multiply:
4(−5 2/3)
Divide:
−5/8÷12
Answers
Answer:
I am not so sure but I am assuming-5 2/3 to be mixed fraction so improper fraction wud be -17/3
now 4*- 17/3 = 68/3
now divide -5/8 ÷ 12
so u must know the rule that if division we can multiply by reciprocal
so -5/(8*12) = -5/96
hope that helps
In 2014, the population of Ohio was 11.59 million people. One-hundred years earlier the population was 5.109 million people. Using scientific notation, how much did the population grow over the hundred-year span?
Answers
The answer is the population grew over the hundred-year span by [tex]6.481*(10)^6[/tex]
Given that in 2014, the population of people in Ohio = [tex]11.59[/tex] million
Also given that One-hundred years earlier of the year 1914, the population = [tex]5.109[/tex] million people
One-hundred years earlier in the year 2014 = 2014 [tex]- 100[/tex] years
One-hundred years earlier in the year 2014 = Year 1914
The scientific notation of the year 2014 population is [tex]11.59*(10)^6[/tex]
The scientific notation of the year 1914 population is [tex]5.109*(10)^6[/tex]
How much did the population grow over the hundred-year span?
Growth of the population from 1914-2014 = [tex]11.59*(10)^6 - 5.109*(10)^6[/tex]
Growth of the population from 1914-2014 = [tex]6.481*(10)^6[/tex]
Conclusion: The population grew over the hundred-year span by [tex]6.481*(10)^6[/tex]
Learn more about scientific notation here https://brainly.com/question/1705769
please solve regression equation
Answers
Step-by-step explanation:
can't c please type the question..
Nasa is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before the launch and has a diameter of 4.7 feet. What is the total weight in pounds?
Answers
Answer:
Step-by-step explanation:
Determine the pattern for the following sequence and find the next two terms: 1, -2,4,-8, ...
Answers
Answer:
Answer:×(-2)
Answer:×(-2)Step-by-step explanation:
-2/1 = -2
4/-2 = -2
-8/2 = -2
Next two: 16, -32
Just multiply each number by -2
Is x=-2 a solution for the equation below?
Answers
Answer:
no
Step-by-step explanation:
-7+x^2-3x = 9+x-10
-7+(-2)^2-3*(-2) 9+(-2)-10
-7+4+6 9-12
3 > -3
if we substitute -2 to x, answer is not equal
Answer:
x= -2
-7 +x^2 - 3x = 9 +x - 10
-7 + (-2)^2 -3×(-2) = 9 + (-2) -10
-7 +4 +6 = 9 - 2 - 10
-7+10=9-12
3 =-3
Don't blame me if this is incorrect:)
Is this a function graph help
Answers
Answer:
This is not a function graph as no variables are present.
Belinda wants to invest in an option that would help to increase your investment value by the greatest amount in 20 years. Will there be any significant can difference in the value of Belinda‘s investment after 20 years if she uses option two over option one? Explain your answer, and show the investment value after 20 years for each option.
Answers
Step-by-step explanation:
Part A, Option 1 is a exponential function while option is a linear equation.
Part B, Let y=b*a^(x) be the function for option 1. At x=1, y=1100 and at x=2, y=1210. 1100=b*a and 1210=b*a^2. Dividing them both we get, b=1.1 and a=1000. y=1000*(1.1)^(x). For option 2, it's a linear equation with a function y(x)=1000+100x.
The 20 year difference would be immense. With option 1, Belinda will get $6727.5 whereas with option 2, they will end up with $3000
A 2017 survey shows that 3/5 Australian adults are overweight and 1/10 Australia are obese. What fraction of Australian adults are overweight or obese?
Answers
Answer:
7/10
Step-by-step explanation:
3/5=6/10
so add 1/10 to 6/10
and you have your answer
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. only 1
C. only 3
D. 2 and 4
Answers
Answer:
It's option C. only 3
Step-by-step explanation:
A line of symmetry is a line which will cut any shape in exactly half. In your given picture, only line 3 is symmetrical because if you were to fold the shape after you cut it in half, both halves would match and be equal.
HELP MEEEE FAST PLZ
MY MOM THINKS IM SMART BUT I DON'T GET THIS AHHHH HELP
Answers
Answer:
10
Step-by-step explanation:
-3 = 7 - 10
-3 = -3
Emma spent 4 and one-half days planting her garden. Her brother spent 2 Over 9 as much time as Emma did. How many days did her brother spend planting his garden?
Answers
Answer: 1 day
Step-by-step explanation:
i took the test lol...
Translate the verbal phrase "three less than three times a number w into an expression.
Answers
Answer:
3w - 3
Step-by-step explanation:
The table below shows some inputs and outputs of the invertible function f with domain all real numbers.
Answers
Answer:
f^-1 (-15) = -6
f^-1(4) + f(9) = 0
Step-by-step explanation:
f^-1 (-15) =
Look where the output is -15 and find the x value ( x=-6)
Since where are using the inverse function, the input becomes the output and the output and the output becomes the input
f^-1 (-15) = -6
f^-1 (4) = -11 (inverse function)
f(9) = 11 ( regular function)
f^-1(4) + f(9) = -11+11 = 0
