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
Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.
If f(7) = 22, then
f^-1(22) = [?]
Answer:
[tex]f(7)[/tex]
f(7)= 22
Reduce the ratio to its lowest form. 72:8
Answer:
9:1
Step-by-step explanation:
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 72 and 8 is 8
Divide both terms by the GCF, 8:
72 ÷ 8 = 9
8 ÷ 8 = 1
The ratio 72 : 8 can be reduced to lowest terms by dividing both terms by the GCF = 8 :
72 : 8 = 9 : 1
Therefore:
72 : 8 = 9 : 1
⁵
(3 A Number pattern has 75 as the first
The rule of the number pattern
Subtract 6 to get the next number
What will be the fifth number in the
sequence
9514 1404 393
Answer:
51
Step-by-step explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
__
Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.
Which ordered pair is the solution of the system
graphed below?
In 2007, a city has a population of 270.000 people. Each year since, the population has grown by 1.7%.
Lett be the number of years since 2007. Let y be the city's population.
Write an exponential function showing the relationship between y and t.
Find the measure of angle ABD.
Answer:
ABD=23
Step-by-step explanation:
9x-22=6x-7
3x= 15
x=5 but wait thats only what X is so
9(5)-22
45-22
ABD=23
Does anyone know the answer? If so how did you get the answer.
Can you please help me with this equation
Answer:
0.915
Step-by-step explanation:
Hopefully this helps
Answer:
It's 50 ^^
Step-by-step explanation:
can u pls help me with this question
Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported
Answer:
1/7 +5/9={1×9+5×7)/(9×7)=44/63is your answer
30 PTS
Please make sure its easy to understand
Need help finding the slope please answer need it done today
Answer:
1. 1/2
2. 2/5
3. -1
4. 1/2
Step-by-step explanation:
slope is equal to rise/run
you take two points and count how far up and sideways
if it is down make it negative
Autumn invested 2800 in a account paying an interest rate of 6.2% compounded monthly.Assuming no deposits or withdrawals are made how much money to the nearest ten dollars would be in the account after 8years
Answer:
4530.55
Step-by-step explanation:
2800 x 6.2% = 173.6
2800 + 173.6 = 3157.96
repeat this step 8 times because you need to find the money in the account after 8 years. Tell me if you need further explanation
you are given that 4a - 2b =10 and a + c = 3. write an expression in a, b and c that is equal to 23. give your answer in its simplest form.
HELP ASAPPP PLSSS WILL GIVE BRAINLIEST!
Answer:
Example 1 35 example 2 is 320 and example 3 is 56 example 4 is 160
Step-by-step explanation:
Answer:
again sorry I do not know but I think it d because it not the same as the rest.
Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?
Determine if the two figures are congruent by using transformations
Solve the proportion. 2x/5 = 9/15
x = 3/2
Getting x on one side of the equation:
(2/5)x = 9/15
x = (9/15)(5/2)
x = 9/6
x = 3/2
Need Help please,
Which graph is generated by this table of values?
Answer:
y=3x-6
Step-by-step explanation:
use 2 of the points for y=a×x+b
we use (2,0) and (3,3) as an example
we get
0=2a+b & 3=3a+b
so
3-0=3a+b-(2a+b)
3=a
b=-6
A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 10 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. What is the best estimate of the bird population?
32/p=10/440
10p=14080
p=1408
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Which of the following statements is true?
A.
A rhombus has no sides the same length.
B.
A square has two right angles.
C.
A trapezoid has two pairs of parallel sides.
D.
A rectangle has four right angles.
64
4+4x U
K
36
27
72
T
96
L
Find the value of x.
The value of {x} is equivalent to 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two triangles ΔJTU and ΔJLK.
The triangles ΔJTU and ΔJLK are similar.
We can write the proportional relation as -
{JU/JK} = {JT/JL}
{- 4 + 4x/64} = {27/72}
{- 4 + 4x/64} = 3/8
- 4 + 4x = 24
4x = 28
x = 7
Therefore, the value of {x} is equivalent to 7.
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
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The value of x is 7.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔJKL and ΔJUT
If T and U are midpoints on JL and JK, then TU is parallel to LK.
Then ∠T=∠L (Corresponding angles)
∠U=∠K (Corresponding angles)
Hence, ΔJKL is similar to ΔJUT
Now, JT/JL = JU/JK = TU/LK
27/72 = -4+4x/64 = 36/96
9/24 = -4+4x/64 = 12/32
3/8 = -4+4x/64 = 3/8
-4+4x/64 = 3/8
-4+4x=24
4x=28
x=7
Therefore, the value of x is 7.
To learn more about the similar triangles visit:
https://brainly.com/question/25882965.
#SPJ1
A. Dan should hope his flight uses configuration B.
B. Dan should hope his flight uses configuration A.
C. Dan is equally likely to get an aisle seat with whichever configuration his flight uses
D. There is not enough information to determine which configuration Dan should hope his flight uses
Answer:
The answer is A.
Find the Area Of This Figure.
Answer:
42in
Step-by-step explanation:
First divide up the shape.
The bottom will cut off to form a 6x3 rectangle which will have an area of 18in. Next is the top portion which is a trapezoid. You can figure out the area two ways. You can divide it further into two triangles and a rectangle. Or you can use the trapezoid formula. In this case I feel like dividing it. So since the top is 2 inches the bases of the two side triangles must be 2 due to the bottom base of the whole shape being 6. (1/2*2*6)*2 = 12in. Lastly the center rectangle is 2*6 (got 6 from 9-3) which is also 12. So the top half added together 12+12 equals 24in. When adding both top and bottom portions (18+24) you get 42in.
(-6, -2) (4, -5) what is the distance in units, between the two points
solve the equation f/3+22 = 17
Answer:
-15
Step-by-step explanation:
The (/) is also a division sign
-15/3 + 22 =17
-5 + 22= 17
Answer:
its -5
Step-by-step explanation:
So you subtract by 22 then it is -5 Then you multiply by 3 then it is -15
evaluate the expression for the given value(s) of the variables s=7 k=4 x=6 8 - k+ x
Answer: 9
Step-by-step explanation:
s = 7
k = 4
x = 6
7 - 4 + 6
3 + 6
9
HELPPPPPPPPPPPPPPPPPPPPPPP PLEASE GUYS I BEG YOU BRAINLIST AND 40 POINTS
ONE IMAGE AND ONE QUESTION
FIND X
84?Step-by-step explanation:
