The median of a group of individuals’ BMIs whose BMIs are 20.47, 21.92, 23.32, 23.41, 25.7, and 30.1 is approximately ___.
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Related Questions
The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
Answers
Answer:
0.048 ; 0.03593 ; (14320, 45680) ; 6000
Step-by-step explanation:
Given a normal distribution :
Mean salary (m) = $30000
Standard deviation (s) = $8000
A.) probability of having a starting salary of atleast 30400
P(x ≥ 30400)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (30400 - 30000) / 8000
Z = 400 / 8000 = 0.05
P(Z ≥ 0.05) = 0.48006 (Z probability calculator)
b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
P(X < 15600)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (15600 - 30000) / 8000
Z = - 14400 / 8000 = - 1.8
P(Z < - 1.8) = 0.03593
c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
Zscore which corresponds to 0.95 is 1.96
Minimum:
-1.96 = (x - 30000) / 8000
-15680 = x - 30000
x = 14320
Maximum :
1.96 = (x - 30000) / 8000
15680 = x - 30000
x = 45680
d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
P(X ≥ 43120)
Z = (43120 - 30000) / 8000
Z = 13120 / 8000
Z = 1.64
P(Z ≥ 1.64) = 0.050503
Hence,
0.050503 = 303
1 = x
x = 303 / 0.05050
= 6000
Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
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Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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9x^2y+12xy^2
URGENT!! SOLVE PLEASE.
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Answer:
3xy(3x+4y)
Step-by-step explanation:
The simplified expression is 3xy(3x + 4y).
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is 9x²y + 12xy².
Simplify the expression as follows:
9x²y + 12xy²
= 3xy(3x + 4y)
Hence, the simplified expression is 3xy(3x + 4y).
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Name the different types of proofs you saw in this lesson. Give a description for each.
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Answer:
?
Step-by-step explanation:
What is the value of the expression when a = 5 and b = 2?
2a+b−3
A. 6
B. 9
C. 11
D. 24
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9
Step-by-step explanation:Hi there !
2a + b - 3 =
replace a = 5 ; b = 2
= 2(5) + 2 - 3
= 10 + 2 - 3
= 12 - 3
= 9
Good luck !
Answer: 9
2a and b - 3 = ?
a = 5 ; b = 2
2(5/a) + 2/b - 3
Now we solve this.
10 + 2/b - 3
Subtract 3.
12 - 3
The answer is 9.
Find the first four terms of the sequence given a1=31 and an+1=an−3
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Step-by-step explanation:
Given the formula
a(n+1)=an−3
The first term a(1) = 31
For the second term
a(2)
We have
a( 1 + 1) = a(1) - 3
a(2) = 31 - 3
a(2) = 28
For the third term
a(3)
We have
a(2+1) = a(2) - 3
a(3) = 28 - 3
a(3) = 25
For the fourth term
a(4)
That's
a(3+1) = a(3) - 3
a(4) = 25 - 3
a(4) = 22
Hope this helps you
Three times a number decreased by 5 equals 10. Write the equation and find the number.
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Answer:
3x - 5 = 10
Step-by-step explanation:
Find the area and perimeter of a square whose side length is
2x+3
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Answer:
Area = 4x^2 + 12x + 9
Perimeter = 8x + 12
Step-by-step explanation:
a box contains 30 pencils. 37 student are each given 3 pencils. how many boxes of pencilsare required?
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Answer:
4
Step-by-step explanation:
37 times 3 is 111 and since there are 30 pencils in each box they would need 4 boxes which gives them 120 pencils.
37 x 3 = 110
110/ 30 = 3.666
Need atleast 4 for everybody
4 pound tomato cost 14 dollar how much does 1 pound cost
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Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14
If and is in , find cos
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Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
Answer Both Questions
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Answer:is the first answer 15.875 and the second answer 17 x 28 ÷5
Step-by-step explanation:
Please help me with this geometry problem. i don’t understand.
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Tangent theorem states that when two tangents intersect out a circle they are said to be equal
Therefore,
Tangent 2x+13 is equal to tangent 4x-8
\(\begin{gathered} 4x-8=2x+13_{} \\ by\text{ collecting like terms we will have that,} \\ 4x-2x=13+8 \\ 2x=21 \\ to\text{ find x we will dive both sides by the coefficent of x which is 2} \\ \frac{2x}{2}=\frac{21}{2} \\ x=10\frac{1}{2} \\ x=10.5 \end{gathered}\)Hence,
The value of x =10.5
After training Naruto went to a ramen shop for dinner. Since Naruto eats ramen for lunch and dinner daily, the shopkeeper gives him a 33.33% discount. If ramen costs 45 cents, how much does Naruto spend in 15 days?
Points given: 20
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To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.
Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.
66.67% of 45 cents is (66.67/100) * 45 = 30 cents.
So, Naruto spends 30 cents on ramen per day.
To find out how much he spends in 15 days, we multiply the daily cost by the number of days:
30 cents * 15 = 450 cents.
Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.
Out of 330 racers who started the marathon, 303 completed the race, 25 gave up, and 2 were disqualified. Whatpercentage did not complete the marathon?
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Given:
\(\begin{gathered} \text{Total number of racers=330} \\ \text{Number of racers completed the race=303} \\ \text{Number of racers gave up the race=25} \\ \text{Number of racers disqualified=2} \end{gathered}\)To find:
Percentage that the racers did not complete the marathon.
Explanation:
\(\begin{gathered} \text{Number of racers did not complete the race=2}5+2 \\ =27 \end{gathered}\)\(\begin{gathered} \text{Percentage that racers did not complete marathon=}\frac{27}{330}\times100 \\ =8.18\text{ \%} \end{gathered}\)Final answer:
Therefore, Percentage that the racers did not complete the marathon is 8.18%
d. G and H are two points on Figure 1, but they are not shown. The
distance between G and His 1. What is the distance between the
corresponding points on Figure 2?
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An enlarged figure has a scale factor greater than 1.
The distance between the corresponding points on Figure 2 is 3 units
From the question (see attachment), we have:
\(AC = 2\)
\(PR = 6\)
Segment AC is corresponding to segment PR.
So, the scale factor (k) from figure 1 to figure 2 is:
\(k = \frac{PR}{AC}\)
\(k = \frac{6}{2}\)
\(k=3\)
So, the distance between the corresponding points of GH on figure 2 would be:
\(G'H'=k \times GH\)
Where:
\(GH=1\)
So, we have:
\(G'H'=3 \times 1\)
\(G'H'=3\)
Hence, the distance between the corresponding points on Figure 2 is 3 units
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The radius of the earth is 6.371 X 10^3 km. Write the value of this scientific notation and express the radius in words.
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Answer:
6371. six thousand three hundred and seventy-one
The length of a rectangle is 3m less than double the witch, and the area of the rectangle is 27m^2. Find the dimensions of the rectangle.
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Answer:
the area of the rectangle is A=L•W
The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m
A=L-W
27m²=(2W-3m)-W
27m2=2w2-3m-W
2w2-3wm-27m2=0
....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)
W=
2-2
w=(3m± √9m²+216m²)
w=(3m+ √225m²)
W=(3m± 15m...you need only positive root because width cannot be negative
W= 3m+15m
4
W=. 4
18m
W=4.5m ......now find the L
L=2.4.5m-3m
L=9m-3m
L=6m
Answer:
W = 4.5cm
L = 6cm
Step-by-step explanation:
Find the opposite of –15.
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Answer:15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
If there is a negative sign just add a positive sign or remove the sign. And if it's a positive number add a negative sign.
Easy There we go!
Chris saved x dollars and spent half of his savings buying video games. After earning an additional $10 cutting grass, he had $32. If the equation one half times x plus 10 equals 32 represents the scenario, how much did he start with in his savings? $11 $21 $44 $84
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The amount Chris started with in his savings is $44. option C
EquationAmount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32
subtract 10 from both sides1/2x = 32 - 10
1/2x = 22
divide both sides by 1/2x = 22 ÷ 1/2
x = 22 × 2/1
x = $44
Therefore, the amount Chris started with in his savings is $44. option C
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Answer:
Step-by-step explanation:
a hotel owner is deciding whether to buy new parts, hire a plumber, or allow no changes due to possible issues with the water pressure. to help make her decision, the data set lists the number of complaints about the water pressure at the hotel. for this data set, the minimum is 3, the median is 15, the third quartile is 16, the interquartile range is 4, and the maximum is 19. construct a box-and-whisker plot that shows the number of complaints. move the median first, then the first and third quartiles, and last the minimum and maximum.
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A box-and-whisker plot shows the five-number summary of the data set, including the minimum value (3), first quartile (12), median (15), third quartile (16), and maximum value (19).
We know that the interquartile range is the third quartile minus the first quartile. The third quartile of the water pressure complaint data set is 16 and the interquartile range is 4, so the first quartile can be found by subtracting 4 from 16, which is 12.
The minimum value (3) is represented by the left end of the left whisker, the first quartile (12) is represented by the left edge of the box, the median (15) is represented by the line in the middle of the box, the third quartile (16) is represented by the right edge of the box, and the maximum value (19) is represented by the right end of the right whisker.
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no one helps me please help
Answers
Answer:
A, C, and D
Explanation:
32 rows
15 seats per 1 row
So,
32 × 15 = k
You can try arranging to get more choices.
32 × 15 = k
32 = k ÷ 15
and
32 × 15 = k
15 × 32 = k
15 = k ÷ 32
Hypothesis Test for Two Populations including:t-Test for μ1-μ1t-Test for μdF-Test forWe are interested in determining whether or not the variances of the sales at two small grocery stores are equal. A sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the followingStore A Store BnA=21 nB=16SA=28.284 SB=20Which of the following is critical values of F at 95% confidence?A. a and dB. 2.57C. 0.3891D. 0.3623E. 2.76
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Answer:
The critical values of F at 95% confidence are 0.359 and 2.788.
Step-by-step explanation:
We are given that a sample of 21 days of sales at Store A and a sample of 16 days of sales at Store B indicated the following:
Store A Store B
nA = 21 nB = 16
SA = 28.284 SB = 20
And we are interested in determining whether or not the variances of the sales at two small grocery stores are equal.
AS we know that when we are interested in variances of two samples, we use F-test for doing hypothesis testing.
The test statistics for F-test is = \(\frac{S_A^{2} }{S_B^{2} } \times \frac{\sigma_B^{2} }{\sigma_A^{2} }\) ~ \(F__n_A_-_1,_ n_B_-_1\)
where, \(S_A\) and \(S_B\) are sample standard deviations.
Now, the critical values of F at 2.5% (because two-tailed test) level of significance from F-table at degrees of freedom (21 - 1, 16 - 1) = (20, 15) are given as;
2.788 for right-part and 0.359 for the left-part.
A company has 20 employees. Each employee earns the same salary. If the company pays a total of $730,000 in salaries, how much does each employee earn?
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Answer:
$36,500 per employee
Step-by-step explanation:
$730,000/20 employees
749/d * d/749 = 1
d=?
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Answer:
D=1
Step-by-step explanation:
1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1
Answer:
I honestly don't know but I think its all real numbers but not zero
Step-by-step explanation:
A large water tank holds 210 liters of water. About how many gallons of water does the same tank hold, if there are approximately 15 liters in 4 gallons?
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Answer:
Step-by-step explanation:
Set up a proportion
15 Liters / 4 gallons = 210 Liters / x Cross Multiply
15x = 4 * 210 Combine the right
15x = 840 Divide by 15
x = 840 / 15
x = 56 gallons
What is the volume of the cube
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Answer:
the answer should be V = a³=2³=8cm³
Answer:
8cm
Step-by-step explanation:
The volume of a cube is length x width x height. If it a equal cube, all sides should be the same. Meaning that 2 x 2 x 2, equaling 8 would be the answer.
An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a brown on your next toss of the die
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Answer:
\(P(Brown) = 0.1837\)
Step-by-step explanation:
Given
\(Brown = 27\)
\(Purple = 47\)
\(Blue = 29\)
\(Green = 44\)
Required
\(P(Brown)\) on the next roll
This is calculated as:
\(P(Brown) = \frac{Brown}{Total}\)
So, we have:
\(P(Brown) = \frac{27}{27+47+29+44}\)
\(P(Brown) = \frac{27}{147}\)
\(P(Brown) = 0.1837\)
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
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The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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A backpack will hold 2,808 grams. If a T-shirt weighs 156,000 milligrams, how many T-shirts will the backpack hold?
Answers
Answer:
18 T-shirts
Step-by-step explanation:
1gram = 1000milligrams
1gram × 156000milligrams ÷ 1000milligrams
The milligrams unit cancel out each other thus grams remains as the main unit.
=156grams
1 T-shirt = 156grams
1 T-shirt × 2808grams ÷156grams
The grams unit cancel out each other thus T-shirt remains as the main unit.
=18 T-shirts
Answer:
18
Step-by-step explanation: