Answer:
[tex]Mean=79[/tex]
[tex]\sigma=30.3951.[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]Age Bracket :19-20[/tex]
[tex]5th\ percentile = 42[/tex]
[tex]50th\ percentile = 79[/tex]
[tex]95th\ percentile = 142.[/tex]
Generally the mean Median and mode of the 50th percentile is are all equal
[tex]Mean=Median=Mode[/tex]
Therefore
[tex]Mean=79[/tex]
Generally for Normal distribution
[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]
[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]
Therefore
[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]
[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]
[tex]\sigma=\frac{142-42}{3.29}[/tex]
[tex]\sigma=30.3951.[/tex]
Leslie is a biologist. She’s going to randomly select one animal from her lab to study. There are five salamanders, three crayfish, and 12 minnows in her lab. What is P (salamander)?
Find the unknown side length, X. Write your answer in simplest radical form,
A 432
B. 22
C. 16.15
D. 16./13
Answer:
22/ b hope this helps
Step-by-step explanation:
Find the slope of the line passing through these points (-3,4) and (4,1)
Answer:
-3/7
Step-by-step explanation:
To find the slope use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-4)/(4 - -3)
= (1-4)/(4+3)
= -3/7
Answer:
slope = - 3/7
step-by-step explanation:
we have two points which are (-3,4) and (4,1).
To find the slope of line , use the slope formula which is
m = ( y² - y¹ ) / ( x² - x¹)
Where,
m = slope( y² - y¹ ) = ( 1-4 ) ( x² - x¹) = ( 4 - ( - 3 ) )substitute the values
m = ( 1 - 4 ) / ( 4 - ( - 3 ))
m = -3 / 7
Hence, slope is -3/7.
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation:
Compute the future value of $1,000 compounded annually for:
A. 10 years at 5 percent.
B. 10 years at 10 percent.
C. 20 years at 5 percent.
D. Why is the interest earned in part (c) not twice the amount earned in part (a)?
Answer:
1628.89
2593.74
2653.30
Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
Step-by-step explanation:
A: 1000*(1.05)¹⁰= 1628.89
B: 1000(1.1)¹⁰= 2593.74
C: 1000(1.05)²⁰= 2653.30
D: Because the interest forms an exponential function. This means that the amount of interest earned in each period is increasing and should therefore be more than double.
You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?
Answer:
$200 each.
Step-by-step explanation:
You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:
$600/3 persons = $200/person
Each person obtains $200.
~
8 minus the difference of p and 4 un algebraic expression
Answer:
8 - (p - 4)
Step-by-step explanation:
8 - (p - 4)
Do the following lengths form a right triangle?
Answer:
Yes, they do
Step-by-step explanation:
Because
6+8=14>9
6+9=15>8
8+9=17>6
31. The length of a rectangle is 2 meters less than
three times the width. What is the maximum
integer value of the length if the perimeter is
less than 43 meters?
Answer:
l=15
Step-by-step explanation:
let length=l
width=w
l=3w-2
w=(l+2)/3
Perimeter P=2(l+w)=2[l+(l+2)/3]=2(4l+2)/3≤43
2(4l+2)≤129
8l+4≤129
8l≤125
l≤125/8
so l=15
________________
P=2(l+w)=2(3w-2+w)=8w-4≤43
8w≤47
w≤47/8
l≤141/8-2
l≤125/8
l=15
Assume the matrix below is the augmented matrix corresponding to a system of equations with variables x, y, and z (in that order). What is the exact value of z? 11 1 13 0 1 1 12 0 0 1 11
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but a similar question is attached and solved.
An augmented matrix is a matrix obtained by appending the columns of two given matrices. The augmented matrix can be represented as:
[tex]\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&5&3\\4&7&2\\6&9&4\end{array}\right] ^{-1}\left[\begin{array}{c}-1\\10\\-6\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-5/9&-7/18&11/18\\2/9&5/9&-4/9\\1/3&-2/3&1/3\end{array}\right] \left[\begin{array}{c}-1\\10\\-6\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-7\\8\\-9\end{array}\right][/tex]
z = -9
solve 3p²+7pqr+2q²r²
Answer:
Step-by-step explanation:
Hope this helps !!
4x-5y<_1 isolated by y
Answer:
[tex]y \ge \frac{4x-1}{5}[/tex]
Step-by-step explanation:
Given
[tex]4x - 5y \le 1[/tex]
Required
Solve for y
[tex]4x - 5y \le 1[/tex]
Subtract 4x from both sides
[tex]- 5y \le 1-4x[/tex]
Divide both sides by -5 (the inequality sign changes)
[tex]y \ge \frac{1- 4x}{-5}[/tex]
[tex]y \ge \frac{4x-1}{5}[/tex]
A spinner with 8 equally sized slices has 2 yellow slices, 3 blue slices, and 3 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice?
Answer:
5/8
Step-by-step explanation:
First, find how many slices are yellow or blue.
There are 2 yellow slices and 3 blue slices, so 5 of them are either yellow or blue.
There is a total of 8 slices.
So, the probability that it will stop on a yellow or blue slice is 5/8.
Jamal needs to plot at least 1 point from each set of numbers in the chart. If he graphs -5 and 5, which sets of numbers can he cross first? choose all that apply
A Rational numbers
B Integers
C whole numbers
D Natural numbers
Answer:
A Rational numbers
B Integers
what are the prime factors of 7436439
Answer:
7, 11, 13, 17, 19 and 23
Step-by-step explanation:
Answer:
7,11,13,17,23
hope it helps
thank you
solve the differential equation: x(y^2 - 1)^1/2 dx-y(x^2-1)1/2 dy=0
Try this solution, note the answer is marked with green colour.
PLEASE HELP!!!! WHOEVER GETS IT RIGHT GETS BRAINLIEST !!!!
FIND THE VALUE OF Y=
Answer: 8 is the value for y.
since x=16 as answered in the previous question, then 10x-3+(3y-1)=180 being in a straight line.
5338 wins in 34 years
Answer:
is that a question?????????????
A runner runs a distance of 300 metres in a time of 60 seconds.
What is his average speed?
Which conditional statement is represented by the Venn diagram below?
Quadrilateral
Square
A. If a shape is a square, then it is a quadrilateral.
B. If a shape is a square, then it is not a quadrilateral.
0
C. If a shape is a quadrilateral, then it is a square.
D. If a shape is a quadrilateral, then it is not a square.
Which expression represents the product of (3x+5) with (2x-3)
Answer:
[tex]6x^2-x+15[/tex]
Step-by-step explanation:
(3x + 5)(2x - 3) = [tex]6x^2-9x+10x-15=6x^2+x-15[/tex]
please answer thanks
Answer:
a
Step-by-step explanation:
I believe it is answer a. the helicopter is the distance in the air that it is cruising and the angle is how it has to begin its decent down to the fireman
A parabola is the set of all points that...
Answer:
is equidistant from a focus point and a line
Answer:
what
Step-by-step explanation:
pa brainliest tol please
Giải phương trình vi phân
a. dy/dx
b. y' + 2xy = 4x
Your first differential equation is incomplete, so I'll just look at the second one.
y' + 2xy = 4x
Multiply both sides by exp(x ²):
exp(x ²) y' + 2x exp(x ²) y = 4x exp(x ²)
The left side is the derivative of a product:
(exp(x ²) y )' = 4x exp(x ²)
Integrate both sides:
exp(x ²) y = ∫ 4x exp(x ²) dx
For the integral, substitute u = x ² and du = 2x dx :
exp(x ²) y = 2 ∫ exp(u) du
Solve for y :
exp(x ²) y = 2 exp(u) + C
exp(x ²) y = 2 exp(x ²) + C
y = 2 + C exp(-x ²)
Solve the equation -6 + 4a = 18 for a.
OA) 4
OB) 5
OC) 6
OD 9
Step-by-step explanation:
-6 + 4a = 18
4a= 24
a=6
!!!!!!!!!!!!
Answer:
OC) 6
Step-by-step explanation:
Transpose -6 to the other side
-6 + 4a = 18
4a = 18+6
4a = 24
a = 6
2. Determine the sum of the measures of the interior angles of a dodecagon.
9514 1404 393
Answer:
1800°
Step-by-step explanation:
The interior angles of a convex polygon with n sides have the sum ...
angle sum = (n -2)×180°
For the 12-sided dodecagon, the angle sum is ...
angle sum = (12 -2)×180° = 1800°
Based on the triangle given, determine the trig ratio of the cos 0
Answer:
cos theta = 4/5
Step-by-step explanation:
Since this is a right triangle
Cos theta = opp side/ hypotenuse
Cos theta = 8/10
cos theta = 4/5
Please help!!
Will mark brainilest!!
Point of intersection is the solution of the system of equations.
Both of them intersect at point (-3,5)
So, (-3,5) is the solution of the system of equations.
OPTION B
Answer:
(-3,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect. They intersect at two points
(-3,5) and (1,-3)
The only solution listed as a choice is (-3,5)
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
Answer:
-3/2
Step-by-step explanation:
The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite.