Answer:
13760
Step-by-step explanation:
A distribution of values is normal with a mean of 114.5 and a standard deviation of 23.
Find P47, which is the score separating the bottom 47% from the top 53%.
P47 =
Enter your answer as a number accurate to 1 decimal place. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
The score separating the bottom 47% from the top 53% is 112.8
Step-by-step explanation:
Let X denote the random variable whose values are normal with a mean of 114.5 and a standard deviation of 23.
Compute the 47th percentile as follows:
[tex]P(X<x)=0.47\\\\P(\frac{X-\mu}{\sigma}<\frac{x-114.5}{23})=0.47\\\\P(Z<z)=0.47[/tex]
The corresponding z-value is,
z = -0.075
*Use the z-table.
Compute the value of x as follows:
[tex]\frac{x-114.5}{23}=-0.075\\\\x=114.5-(0.075\times 23)\\\\x=112.775\\\\x\approx 112.8[/tex]
Thus, the score separating the bottom 47% from the top 53% is 112.8
In the expression 3xy+5y−xy+2x−7, what are the two variables?
Answer:
x and y are the two variables, although I think it should be x, y and xy
Step-by-step explanation:
Determine the equation of the perpendicular bisector JK whose endpoints are J(-4,9) and K(6,1). Show all your work below. (Use of the grid is optional.)
Answer:
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Step-by-step explanation:
Coordinates of segment with endpoints J and K are,
J(-4, 9) and K(6, 1)
Midpoint of the segment JK = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{9+1}{2})[/tex]
= (1, 5)
Slope of JK, [tex](m_1)=\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{9-1}{-4-6}[/tex]
= [tex]-\frac{4}{5}[/tex]
Let the equation of perpendicular bisector passing through [tex](x_1,y_1)[/tex] and slope [tex]m_2[/tex] is,
[tex]y-y_1=m_2(x - x_1)[/tex]
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]-\frac{4}{5}\times m_2=-1[/tex]
[tex]m_2=\frac{5}{4}[/tex]
Therefore, equation of the line passing through midpoint (1, 5) and slope = [tex]\frac{5}{4}[/tex] will be,
[tex]y-5=\frac{5}{4}(x-1)[/tex]
[tex]y=\frac{5}{4}x-\frac{5}{4}+5[/tex]
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
-3x + b = 6x, solve for x
Answer:
Your answer is: [tex]x=\frac{b}{9}[/tex]
or if you are solving for b: [tex]b=9x[/tex]
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Consider this scenario: A town's population has been decreasing at a constant rate. In 2010 the population was 5,900. By 2013 the population had dropped to 5,000.
Assume this trend continues.
Predict the population in 2016.
Answer:
i i honesly dont know im really sorry
Step-by-step explanation:
what is the probability of rolling an odd number on a fair number cube with sides numbered 1 through 6
Answer:
The probability of rolling an odd number is 3/6 which is basically 1/2
Answer:
The probability of rolling an odd number is 1/2 or 1:2 or 3:6.
Step-by-step explanation:
There ar a total of 6 numbers and 3 odd numbers.
what is 10 times 10 hurry
Answer:
100
Step-by-step explanation:
Pls mark brainliest
Ten times Ten is 100
Step-by-step explanation:
Does this help?
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-5)
slope = 1/4
A. y = 1/4x-5
B. y=5x-1/4
C. y=1/4x+5
D.y=5x+1/4
Answer:
A. y= 1/4x-5
Step-by-step explanation:
The slope is 1/4 and the y- intercept is -5.
[tex]\frac{3}{4}[/tex]
Answer:
0.75
Step-by-step explanation:
in 1900 in the United States there were 40 death from diphtheria for every 100,000 people. How many diphtheria deaths would be expected in 1900 in a town of 40,000?
literal equation
Solve for W.
In april, mr. Anderson's students read 20 books in may, they read 14 books what is the percent increase or decrease in the number of books they read A.30% increase B.15%decrease C.30%decrease or D.20%decrease can I get the answer in 3secs cause that's all I have rn
Answer:
D 20%
try it its easy bro
From the set {5, 7, 40}, use substitution to determine which value of x makes the equation true.
7(x + 35) = 280
A. 7
B. none of these
C. 40
D. 5
Please help me !!!!
Answer:
I am in middle school
Step-by-step explanation:
Answer:
D. 5
Step-by-step explanation:
7 (x + 35) = 280
x + 35 = 280/7
= 40
x = 40 - 35
= 5
So it the correct option is D. Sorry I am late!!
What’s the answer yalll
I really need help with this ... I hope someone can help!
9514 1404 393
Answer:
∠B = 53°
∠C = 127°
∠D = 127°
Step-by-step explanation:
The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.
So, you know immediately that ∠B = ∠A = 53°.
Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...
∠D = ∠C = 180° -53°
∠D = ∠C = 127°
2. Simplify:
a. 2(4x + 5y)
b. -3(2x + 4y)
PLEASE HURRY
a. 2(4x + 5y)
(2×4)x + (2×5)y
= 8x + 10y
b. -3(2x + 4y)
(-3×2)x + (-3×4)y
= -6x - 12y
1. Write the equation of the line parallel to y = x + 5 that passes through the point (6,-1).
Answer:
y=x -1
Step-by-step explanation:
parallel means the slope stays the same but the intercept changes accordingly
alsooo pls mark brainly ❤
pls pls pls help me
g(x) = x + 4
f(x)= x + 3
Find (g•f)(x)
Answer:
g[f(x)] = x + 7
Step-by-step explanation:
g[f(x)] = ( x + 3) +4
= x + 7
What is .41 times as many acres as 16.1
Answer:
10 acres, which is a more easily identified measurement than 435,600 square feet. To use the area conversion calculator simply select the unit that you want to convert from, which will be the amount that is known.
Step-by-step explanation:
100 + 100=300 u know why u add 100 to 200
Answer:
pog champ
Step-by-step explanation:
Answer:
to make it 21
Step-by-step explanation:
What is the value of – 15 – 9 + (– 7)?
Answer: the value of – 15 – 9 + (– 7) is -31
Step-by-step explanation:
-15-9=-24
-24+(-7)=-31
Answer: I
believe it is -31
Step-by-step explanation:
calculator
What is 9 devided by 4,590
Answer:
1/510
Step-by-step explanation:
Answer:
9 divided by 4,590= 0.00196078431
Step-by-step explanation:
its best to use the calculator after solving any equation.
can someone please do all of these im marking brainliest !!!
Yes ofc, but I don’t see anything like a question or a picture of anything.
Solve the formula
h = 54t + at for a
Answer:
a = [tex]\frac{h - 54t}{t}[/tex]
I hope this helps!
Find the area for the figure below. Use 3.14 for pi.
Answer:
1228.31 mm^2
Step-by-step explanation:
The area for the circle is
(20^2*3.14)/2
The area for the rectangle
30*20
Total area
1228.31
Solve for x. x/2≥−4 PLEASE HELP
Answer:
x is greater than or equal to -8
Step-by-step explanation:
multiply by 2 to get the x alone, and you have your answer.
What is the zeroth term? 5, 15, 45, 135, ...
Answer:
i took quiz and it was 45
Step-by-step explanation: also can you mark brainliest
How much will 12 shirts cost?? Help!!
Answer:
I believe the answer would be 240
Step-by-step explanation:
If you divide 60 by 3 you will get 20 which is how much one sweatshirt will cost. Then you multiply 12 by 20 than you should get 240 which might be the answer. I hope that this is helpful and that you get it right.
Answer:
$240
Step-by-step explanation:
3 shirts cost $60
Take 3x4=12
Take $60x4= 240
There you have your answer.
You can also:
60÷3= 20
Each shirt cost $20
Take 12x20= 240
(That is how you will be able to solve the entire table if need be)
Hope this helps!
-AxekickNebulite
Tom deposits $1000 into a savings account. That earns 5% simple interest. He has this account for 7 years. How much does it contain now?
Answer:
$1350
Step-by-step explanation:
5% of 1000 is 50
50x7 is 350
1000+350=1350
