Answer:
7776
Step-by-step explanation:
1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that a household chosen at random has an income greater than $100,000. b. Find the probability that a group of 5 households, chosen at random, have an average income greater than $100,000. c. Find the probability that a group of 10 households, chosen at random, have an average income greater than $100,000.
Answer:
The answer is below
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = $72,641 and σ = $30,000.
a) x > $100000
[tex]z=\frac{100000-72641}{30000}=0.91[/tex]
P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814
b) n = 5
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{5} }=2.04[/tex]
P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207
c) n = 10
x > $100000
[tex]z=\frac{100000-72641}{30000/\sqrt{10} }=2.88[/tex]
P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002
The elements least likely to form bonds are found in which group? 15, 16, 17, 18
Answer:
group 18
Step-by-step explanation:
Answer:
Answer. 18
Step-by-step explanation:
took test
What is the Constant of proportionality between 3 and 18.85
Answer:2.25
Step-by-step explanation:it just is
Craig works at a restaurant for 21 hours in January. at this rate, how many hours will he work after 7.5 months?
Answer:
around 4725
Step-by-step explanation:
Answer:
157.5 hours
Step-by-step explanation:
If Craig continued to work 21 hours for 7.5 months he would work a total of 157.5 hours.
Why?
Because if you multiply 21 seven times you get a total of 147 hours, but we still have the .5 of the month so take 21 and divide it by 2 which gives us 10.5 hours.
When you have both you outcomes ready you add 147 and 10.5 hours
Which gives us 147+10.5=157.5 hours.
Good luck :)
In which equation is the decimal point in the correct place in the quotient? Select all that are correct. A. 25.662 ÷ 4.7 = 54.6 B. 12.48 ÷ 6.4 = 1.95 C. 121.35 ÷ 2.05 = 59.195121 D. 55.204 ÷ 88.8 = 0.6216666 E. 0.95 ÷ 0.05 = 0.19
Answer:
B
Step-by-step explanation:
PLEASE HELP it’s MULTIPLE CHOICE i’ll mark BRAINLIEST AND I ADDED EXTRA POINTS!!
Answer:
Easy b
Step-by-step explanation:
Because
Please help answer the first 3 boxes for brainslt
> for brainslt
y=mx+b
1st one:
m=-3 b=-2
Not sure for proportional
Negative Slope
2nd one:
m=15 b=0
Proportional
Positive Slope
3rd one:
m=-4/3 b=8
Not sure proportional or not
Negative Slope
Answer:
Work shown below!
Step-by-step explanation:
y = -3x - 2
m = -3
b = -2
Non-proportional because it doesn't pass through the origin
Negative Slope
y = 15x
m = 15
b = 0
Proportional because it passes through the origin
Positive Slope
y = -4/3x + 8
m = -4/3
b = 8
Non-proportional because it doesn't pass through the origin
Negative Slope
Question 10 of 10
Which would not be a step in solving 5x + 15 + 2x = 24 + 4X?
A. Collect variable terms on one side.
OB. Isolate the variable.
C. Use the distributive property.
Ο Ο
D. Collect like terms.
SUBMIT
Answer:
first you correct like terns
Find the sum. 54.703 + 298.1
HELP ME ASAP PLEASEEEE
Answer:
she makes 22 cookies batches
Step-by-step explanation:
22*3=7 2/3
7 2/3 / 3 = 22
Solve y=3x-4 and y=2/5x+ 9
using systems of linear eqautions
Answer:
(5 , 11)
Step-by-step explanation:
[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]
There are three ways to solve the systems of linear equations
1) Elimination method - where we add/subtract the equations to eliminate the variable
2) Substitution method - where we substitute one variable in the form of another variable
3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution
We use the second method the Substitution method which is the easiest in my opinion.
Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:
[tex]3x-4=\frac{2}{5}x+9[/tex]
as you can see here we eliminated the variable y by substituting y in terms of x.
Now we just solve the equation algebraically
[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]
The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1
[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]
so the solution of the system of linear equations is (5 , 11)
What is the solution to 2x-8 <12
Step-by-step explanation:
2x-8<12
+8<+8
2x<20
[tex] \frac{2x}{2} \frac{20}{2} [/tex]
x<10
Helpppppppppppppppppppppppppppppppppppppp ASAP
Answer:
is it not the plus sign? (+)
Step-by-step explanation:
Can we say there is a 95% probability that the interval [50.53,55.53][50.53,55.53] contains the true percentage of the population that votes for Imm Thai as the best Berkeley Thai restaurant
Answer:
The answer is"statement is true".
Step-by-step explanation:
Yeah, they may claim that it is possible, that 95% of the population would vote for Imm Thai as the best Barkeley Thai restaurant as well as the probability that such an interval will include the proportion of the trust interval of Imm Thai outside is 5% which would be \alpha 5%
Find the value of x if DE is a midsegment.
B
D
26
х
A
E
C
Answer:
my names emily too!!!!
Step-by-step explanation:
Help me please please
Answer:
2.94
Step-by-step explanation:
the clue is in the question, just times the numbers together
Jada has 12 library books checked out and Han has 1/4 less than that. How many books does
Han have checked out?
have a good holiday guys
Answer:
Well thank you so much you too
Step-by-step explanation:
Answer:
u too homie!
Step-by-step explanation:
i want free points
This month nathon used 3 gallons of milk on his ceral each time he eats ceral he uses 1 /12 gallon of milk how many bowls of creal did he eat this month?
Answer:
36 bowls of cereal.
Step-by-step explanation:
just multiply 12 by 3
Answer:
WHY BRO EAT SO MUCH CEREAL IM DEAAAAAADDD
Step-by-step explanation:
nkjenkjfaekjvbsajkbvjks kjan
If y = 14 when x = 5,
find x when y = 28.
Answer:
10
Step-by-step explanation:
if its originally y=14 and x=5, if u switch y to 28 it would be 2x as much as 14 so u would multiply 5x2 aswell. hope i helped!!
Belle's dad lends her $10. Then Belle borrows another $15 from him. Write and evaluate an expression that shows the change in the amount of money Belle's dad has.
The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.
Given :
Belle's dad lends her $10. Then Belle borrows another $15 from him.
The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:
Step 1 - Let the total amount of money Belle's dad have be 'x'.
Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:
= x - 10b
Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:
= x - 10 - 15
Step 4 - Simplify the above expression.
= x - 25
So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).
For more information, refer to the link given below:
https://brainly.com/question/13101306
Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
Step-by-step explanation:
Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])
Given
first term a1 = -2
second term a2 = 2
We are to get the first 8 terms. Given the sequence
a[n]=a[n-2](3-a[n-1])
a[3]=a[3-2](3-a[3-1])
a[3]=a[1](3-a[2])
a[3]=-2(3-2)
a3 = -2
a[n]=a[n-2](3-a[n-1])
a[4]=a[4-2](3-a[4-1])
a[4]=a[2](3-a[3])
a[4]=2(3+2)
a4= 10
a[5]=a[n-2](3-a[n-1])
a[5]=a[5-2](3-a[5-1])
a[5]=a[3](3-a[4])
a[5]=-3(3-10)
a5 = -3(-7)
a5 = 21
a[6]=a[n-2](3-a[n-1])
a[6]=a[6-2](3-a[6-1])
a[6]=a[4](3-a[5])
a[6]= 10(3-21)
a6 = 10(-18)
a6 = -180
a[n]=a[n-2](3-a[n-1])
a[7]=a[7-2](3-a[7-1])
a[7]=a[5](3-a[6])
a[7]= 21(3+180)
a7 = 21(183)
a7 = 3,843
a[8]=a[n-2](3-a[n-1])
a[8]=a[8-2](3-a[8-1])
a[8]=a[6](3-a[7])
a[8]=-180(3-3843)
a8 = -180(-3840)
a8 = 691,200
How do you write a graph that passes through the point (5, -1) and has a slope of 2 in Slope Intercept Form?
Answer:
y=2x-11
Step-by-step explanation:
-1=2(5)+b
-1=10+b
-11=b
Find the value of X. I can't figure out what to do when one is at a right angle.
Answer:
x = 20
Step-by-step explanation:
Two lines are parallel. So, alternate interior angles are congruent.
x +8 + 6x - 58 = 90
7x - 50 = 90
7x = 90 +50
7x = 140
x = 140/7
x = 20
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.m. with a plan to have a picnic when they meet.
Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour.
e) After one hour, how far apart will they be?
Answer:
17.6 miles
Step-by-step explanation:
speed = distance/time
distance = speed * time
We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.
Kiran: 3 mph * 1 h = 3 miles
Clare: 3.4 mph * 1 h = 3.4 miles
The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.
After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.
24 miles - 6.4 miles = 17.6 miles
Answer: 17.6 miles
The solution of -2(x + 1) = 2(x – 1)
Answer:
Step-by-step explanation:
lets eliminate the parenthesis,
-2x-2=2x-2
-4x=0
x=0
PLZ HELP ME ILL GIVE BRAINLIEST, ITS ON THIS LINK https://brainly.com/question/19931314
Answer:
hm okay
Step-by-step explanation:
A(-6,-2) B(-4,4) C(8,1) D(6,-6)
Andrew took a math test with 40 questions if he scored an 85% how many questions did you get a correct
Answer:
34
Step-by-step explanation:
Answer:
34 questions
Step-by-step explanation:
c is the number of correct answers
if this is wrong just tell me and I'll redo it
Hope this helps
List the first 5 multiples of 15. *
0, 1, 3, 5, 15
5, 10, 15, 20, 25
10, 15, 30, 45, 60
15, 30, 45, 60, 75
Answer:
15, 30, 45, 60, and 75
Step-by-step explanation:
15x1
15x2
15x3
15x4
15x5
I hope this helps you