Answer:
The proportion of faculty that earns more than $25,250 but less than $38,750 is 0.8025.
Step-by-step explanation:
Chebyshev Theorem
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].
In this question, we have that:
Mean of 32000, Standard deviation of 3000.
Using Chebyshev's Theorem, what is the proportion of faculty that earns more than $25,250 but less than $38,750
This is within 38,750 - 32,000 = 32,000 - 25,250 = $6,750 of the mean.
Value of k:
This is k standard deviations from the mean. k is given by:
[tex]k = \frac{6750}{3000} = 2.25[/tex]
Proportion:
The percentage is:
[tex]p = 100(1 - \frac{1}{(2.25)^{2}}) = 80.25[/tex].
So the proportion is 0.8025
What is the image of (-10,-6) after dilation by a scale factor of 1/2 centered at the origin?
The coordinate of resulting image after dilation is (-5, -3)
Dilation and scale factorsGiven the coordinate of an image (-10,-6), dilating the coordinate by 1/2 means reducing the image by multiplying each coordinate by the factor of 1/2.
Image = (1/2(-10), 1/2(-6))Image = (-5, -3)From the calculation above, you can see that the coordinate of resulting image after dilation is (-5, -3)
learn more on dilation here: https://brainly.com/question/3457976
sorry i answerd the wrong question.
the verified answer is correct
5-3Find the lcd between 1/6 and 2/9. Show your work.
can you please help me with this?
A) 29
B) 15
C) 45
D) 8
Answer:
A) 29
Step-by-step explanation:
Step 1: Find angle G
Since Sin(θ) = Opposite over Hypotenuse:
[tex]sin^{-1} ( 58 / (52+52) )[/tex] = θ
θ = 33.896°
Now repeat for just the smaller triangle:
[tex]sin(33.896) = Opposite/Hypotenuse\\sin(33.896) = Opposite/52\\Opposite = sin(33.896) * 52\\Opposite = 29[/tex]
. In a 30°-60°-90° triangle, the length of the hypotenuse is 12 inches. What is the length, in inches, of the side opposite the 60° angle?
Who was the first prince of Russia to be crowned as a czar
50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP!
LOOK AT PICTURE
Answer:
Diagram 2, 12 foul balls
Step-by-step explanation:
12/3=4
12-4=8
rewrite 4.4.6.4.4.6 using exponents
Answer:
[tex]4^{4}[/tex]×[tex]6^{2}[/tex]
Step-by-step explanation:
There is 2 of the same number 6 and there is 4 of the number 4
I hope this helps
given f(x)=3x-5, find f(x+2)
Answer:
Step-by-step explanation:
Whenever a problem asks for f(x+n) or really anything, you just plug it into the OG function
f(x+2) = 3(x+2) - 5
= 3x + 6 - 5
=3x + 1
If you overestimate the standard deviation of the population, which type of error are you potentially increasing
Answer:
Standard Error
Step-by-step explanation:
The standard deviation is directly proportional to the sample standard deviation or standard error.
According to the relation :
Standard Error = standard deviation / sqrt(sample size)
Going by these relation an increase in the value of standard deviation will favor or increase the standard error withba constant Number of samples.
Therefore, overestimating the standard deviation will. Cause an increase in the standard error, while underestimating the standard deviation will also lower the standard error.
In a shop, a TV has a normal price of £500
The shop has a sale.
On Monday, the normal price of the TV is reduced by 1/10 to give the sale price.
On Tuesday, the sale price of the TV is reduced by 20%
Chris wants to buy the TV.
He has £400 to spend on the TV.
Does Chris have enough money to buy the TV on Tuesday?
Answer:
400> 360
Step-by-step explanation:
1/10 X 500 = 50
500 - 50 = 450
10% = 450/ 10 = 45
20% = 45 x 2 = 90
450 - 90 = 360
Chris does have enough 400> 360
in which table is y a linear near function of x will mark brainest
possibly c, I'm not that good with math
pls give brainliest
Help me with this. 30 points. Don't put bad answer please.
Answer:
The answer is A
Step-by-step explanation:
No 30 points put I ranked up
Thx
Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T
Answer:c
Step-by-step explanation:
The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.
What is similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
Given that,
One right angle triangle, ΔAEC
one segment BD which is intersecting sides AC & AE
ΔAEC has one similar triangle inside, which is ΔADB
Triangle ΔAEC and ΔADB similar,
So, we can say ΔAEC ≈ ΔADB
For the given similar triangles,
we can use angle-angle similarity property,
so, AE/AC = AD/AB
⇒ (3+6)/(x + y) = 3/x
⇒9/(x + y) = 3/x
Hence, the Statement C is correct
To know more about properties of triangles check:
https://brainly.com/question/8476788
#SPJ6
BRAINLIEST Write an equation that represents the line
Use exact numbers
Answer: Steep. Its 50% steep.
Listen in equation what is 596×9 subtract 64÷5 is this hard 13 points
Answer:
5351.2
Step-by-step explanation:
596 times 9 = 5364
64 divided by 5 = 12.8
5364 minus 12.8 = 5351.2
The perimeter of the square is 36. What is the length of the diagonal, x? HELPNPLZ FOR THE LOVE OF GOD
Answer:
D. [tex] 9 \sqrt{2} [/tex]
Step-by-step explanation:
Side length of square = Perimeter/4 = 36/4 = 9
Length of diagonal (x)
[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]
Words
a. Divide the difference
between 1,200 and 700 by 5
Answer:
100
Step-by-step explanation:
1,200 - 700 = 500
500/5 = 100
Btw, uan got to, but I would really appreciate it if u marked me brainliest cuz I need one more nd I tried
4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1
Answer:
D. 25p² - 1
Step-by-step explanation:
Each side length of a square = 5p
Length of rectangle = 5p + 1
Width of the rectangle = 5p - 1
Area of rectangle = Length × Width
Area of rectangle = (5p + 1)(5p - 1)
= 5p(5p - 1) +1(5p - 1) (distributive property)
= 25p² - 5p + 5p - 1
Area = 25p² - 1
What is the largest of three consecutive odd integers whose sum is 105.
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $49.77.
How much was the tip in dollars?
Round your answer to the nearest hundredth (second) decimal place.
The tip was $7.77
I hope this helped! please mark brainliest and vote 5 stars >:)
Answer:about 8 dollars
Step-by-step explanation:
Combine like terms 3x^2 + 4x^3 + 6x^2
Answer:
3x^2+6x^2= 9x^2
9x^2+4x^2
Step-by-step explanation:
HELP PLEASE!!
100 POINTS!!
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]
First, by the quotient property:
[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]
Since they both have the same base, their exponents must be equivalent:
[tex](-x+4)-(-3)=2x+1[/tex]
Solve for x. Simplify:
[tex]-x+7=2x+1[/tex]
Therefore:
[tex]3x=6\Rightarrow x=2[/tex]
Answer:
x=2
Step-by-step explanation:
:]
The slope through (3, 5) and (1. y) is 3. Find y.
Really need this answer!
Step-by-step explanation:
y2 - y1 / x2 - x1
2 = 5 - y / (3 - 1)
4 = 5 - y
y = 1
So the line with slope 2 passes through the points (1,1) and (3,5).
Hope this helps!
integers are positive and negative whole numbers, they do not include positive and negative fractions or decimals?
true or false? help pleasee
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?
Answer:
let length be l and breadth 1/4×l
perimeter of the rectangle =600ft
2(l+1/4×l)=600ft
(4l+l)/4=600/2
5l=300×4
l=1200/5=240ft
Step-by-step explanation:
240ft is the length of a rectangular.
In ΔGHI, h = 10 cm, ∠G=152° and ∠H=7°. Find the area of ΔGHI, to the nearest square centimeter.
Answer:
Step-by-step explanation:
I = 180-152-7 = 21°
Law of Sines:
g = h·sinG/sinH ≅ 38.5 cm
i = h·sinI/sinH = 29.4 cm
Use Heron's Formula to calculate the area from the lengths of the sides.
semi-perimeter s = (g+h+i)/2 ≅ 39.0 cm
area = [tex]\sqrt{s(s-g)(s-h)(s-i)}[/tex]≅ 69 cm²
What is the value of X.
Answer:
x=5.25 or x=5 1/4
Step-by-step explanation:
These two angles are the same because they are vertical angles. We can write an equation to express this.
x+16=4x-5
Then solve.
x+16=4x-5
-x -x
16=4x-5
+5 +5
4x=21
x=5.25 or 5 1/4
The sum of three consecutive numbers is 405. What is the
3rd numbers
Answer:
136
Step-by-step explanation:
Let the three consecutive numbers be a, a + 1, a + 2
Therefore,
a + a + 1 + a + 2 = 405
3a + 3 = 405
3a = 405 - 3
3a = 402
a = 402/3
a = 134
Third number = a + 2 = 134 + 2 = 136
help, i need you to find the area
Answer:
98
Step-by-step explanation:
Formula Base * Height
7*14=98
Answer:
77 inches
Step-by-step explanation:
The formula for area of a trapezoid is [tex]\frac{b_{1} + b_{2}}{2} h[/tex]. In this case, first add base 1 (8) + base 2 (14) to get 22. Now divide 22/2 to get 11. Now multiply 11 by the height (7), to get 77 in.
Hope it helps!