Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
Calculate the surface area of an open cylinder measuring 35cm in diameter and 60cm high.
Answer:
6598.2 in^2
Step-by-step explanation:
Given data
Diameter= 35in
Radius= d/2= 35/2= 17.5in
Height = 60cm
The expression for the curve surface area of a cylinder is
CSA=2πrh
substitute
CSA= 2*3.142*17.5*60
CSA= 6598.2 in^2
Hence the CSA is 6598.2 in^2
102×98
Search using factors.
Answer:
9996
Step-by-step explanation:
solve: 3x^2+16x+5=0
I did it but apparently its wrong so, please help it would literally probably help me finish high school.
Answer:
(3x+1)(x+5)
Step-by-step explanation:
Sorry for my handwriting lol hope this makes sense
Find the area of this triangle.
Round to the nearest tenth.
57°
11 in
6 in
[?] in2
Enter
Answer:
27.6 is the area
Step-by-step explanation:
Area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).
What is triangle?" Triangle is defined as two dimensional geometrical shape with three vertices, three sides and three angles enclosed in it."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Base)² + (Height)²
Area of a right triangle = [tex]\frac{1}{2} \times b\times h[/tex]
[tex]b[/tex] represents the base of the triangle
[tex]h[/tex] represents the height of the triangle
According to the question,
In a given triangle,
Hypotenuse [tex]= 11in[/tex]
Height [tex]= 6in[/tex]
Substitute the value in Pythagoras theorem to get the measure of base,
[tex](11)^{2} = b^{2} + 6^{2}\\\\\implies b^{2}= 121 -36\\\\\implies b =\sqrt{85}[/tex]
Substitute the value in the formula to find area of a triangle,
Area of a triangle [tex]= \frac{1}{2}\times \sqrt{85} \times 6[/tex]
[tex]= \frac{1}{2} \times 9.22 \times 6\\\\= 9.22 \times 3\\\\= 27.66[/tex]
≈ [tex]27.6in^{2}[/tex] ( round to nearest tenth)
Hence, area of the given triangle is equals to [tex]27.6 in^{2}[/tex](round to nearest tenth).
Learn more about triangles here
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Can someone help me???
Answer:
p to the power of 12
Step-by-step explanation:
hope this helps!
The answer is
(p3)4=p?
p3×4=p12
Ariana Grande put her 7 rings in a rectangular plate that had an area of 54 square inches. If the length of the is 12 inches, what is the width?
Answer:
4 1/2 inches
Step-by-step explanation:
if you have an area of 54 square inches. Then you divide 54 by 12 and get 4 and 1/2 square inches
Answer:
4.5
Step-by-step explanation:
12x=54 x=4.5
4.5×12=54
please please help me i’m failing math!!!
Answer:
go to school, do your work, you are only cheating yourself, not the school, or end up homeless
Step-by-step explanation:
In a group of 32 pupils, 3 play the flute only. 13 play the piano only. 10 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?
Answer:
18.75%
Step-by-step explanation:
Given that
There is a group of 32 pupils
3 play the flute only
13 play the piano only
And, 10 play neither instrument
We need to find out the probability the student plays both instruments
So
= (32 - 13 - 10 - 3) ÷ 32
= 6 ÷ 32
= 0.1875
= 18.75%
Answer:
6/32 or 3/16
Step-by-step explanation:
13 add 10 add 3 = 26
32-26=6
the total amount of children is 32 so the number is 6/32
you can then simplify it to 3/16
hope this helps :)
write an expression that is equivalent to: 1/3 ÷ 5/6
Answer: 0.4 or 4 i think
I need help please !!!!!!
Out of 80 workers surveyed at a company, 11 walk to work A. What is the experimental probability that a randomly selected worker at that company walks to work B. Predict about how many of the 3,700 workers at the company walk to work
Answer:
Below.
Step-by-step explanation:
A. Required probability = 11/80.
B. 3700 * 11/80 = 508.75 so the predicted number would be 509.
Find the radius of a circle whose area is 576π m²
Answer:
r = 24 m
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here A = 576π , then
πr² = 576π ( divide both sides by π )
r² = 576 ( take the square root of both sides )
r = [tex]\sqrt{576}[/tex] = 24
Answer:
I took the test, hope this helps
Step-by-step explanation:
A triangle has angles that measure 55°, 53°, and 72°. What kind of triangle is it?
Answer: an acute triangle
Step-by-step explanation:
All of the angles are less than 90 degrees.
Can someone help with these two questions thank you!
Answer:
10^-5= 1/10^5
so option c is correct
During the basketball season, Jason scored 43 points. He scored 5 fewer points than three times the number Kevin did. How many points did Kevin score? Write an equation and solve.
Solve the equation 3 (x+ 4.5) = 36 one step at a time. Use the diagram to help you
(EXPLAIN. step BY step)
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function \large h=-16t^2+40t. What is the ball's maximum height?
Answer:
[tex]h=25[/tex]
Step-by-step explanation:
From the question we are told that:
Velocity [tex]v=40fts[/tex]
The height h function
[tex]\large h=-16t^2+40t[/tex]
Generally time t is mathematically given by
[tex]h'=-32t+40[/tex]
[tex]-32t+40=0[/tex]
[tex]t=\frac{40}{32}[/tex]
[tex]t=1.25[/tex]
Therefore the ball's maximum height is given as
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]\large h=-16(1.25)^2+40(1.25)[/tex]
[tex]h=25[/tex]
if 4x=3y, which shows the ratio of x to y in simplest form?
Answer:
B
Step-by-step explanation:
4x=3y
x/y=3/4
Just like the photo I attached
If 4x=3y, then 3/4 is the ratio of x to y in the simplest form. Option B is correct.
The ratio of x to y can be determined by dividing both sides of the equation 4x = 3y by y:
4x/y = 3y/y
4x/y = 3
To express the ratio of x to y in simplest form, we divide both sides of the equation by 4:
x/y = 3 / 4
Therefore, the ratio of x to y in simplest form is 3/4. option B is correct.
To learn more on Ratios click:
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Can pls someone help me plsss I need help :(
Answer: [tex]7,5.66,39^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]IJ=9\\\angle I=51^{\circ}[/tex]
from figure, we can write
[tex]\Rightarrow \sin 51^{\circ}=\dfrac{HJ}{9}\\\\\Rightarrow HJ=9\sin 51^{\circ}=6.99\approx 7[/tex]
[tex]\Rightarrow \cos 51^{\circ}=\dfrac{HI}{9}\\\Rightarrow HI=9\cos 51^{\circ}\\\Rightarrow HI=5.66[/tex]
In right angle trianle, the sum of the remaining two angles is [tex]90^{\circ}[/tex]
[tex]\therefore 51^{\circ}+\angle J=90^{\circ}\\\Rightarrow \angle J=90^{\circ}-51^{\circ}\\\Rightarrow \angle J=39^{\circ}[/tex]
List the first 5 multiples of 4. * Your answer
Answer:
4,8,12,16,20
Step-by-step explanation:
Plzzz help me plzzzzz math helppppp
No links or imma report u 20 points plzzzzz
Answer:
wheres the question? it just says what you said-
Answer:
Picture please
Step-by-step explanation:
I'll help you with math, is it 6th grade math?
For the equations given below, which statement is true? A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value. B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3. C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3. D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.
Can anyone help?????
if each box represents 1 miles, what is the shortest distance from the school to the skate park.
The shortest distance between two points is a straight line.
Use the distance formula for points.
In the diagram, we are given two points:
(4,2) and (-3,0).
Let d = distance between the two points.
d = sqrt{(-3 -4)^2 + (0-2)^2}
d = sqrt{(-7)^2 + (-2)^2}
d = sqrt{49 + 4}
d = sqrt{53}
d = 2.2360679775
d = 2.2 miles
The sum of three numbers is 84, the second number is 2 times the 3rd , the first number is 8 more than the 3rd. What are the numbers
Answer:
a = 27
b = 38
c = 19
Step-by-step explanation:
a + b + c = 84
b = 2c
a = 8+c
8+c +2c+c = 84
4c + 8 = 84
4c = 76
c = 19
b = 2(19) = 38
a = 8 + 19 = 27
I need answers now please!
Answer:
option C
Step-by-step explanation:
Claire can make an origami swan in 2 1/2 minutes what fraction shows the number of swans she can make per minute
Answer:
2/5
Step-by-step explanation:
Number of swans Claire can make in one minute = 1 ÷ 21/2
convert 2 1/2 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
2 1/2 = 5/2
1 ÷ 5/2
1 x 2/5 = 2/5
¿Cuál propiedad de los números complejos se muestra a continuación?
continuación?
(2 + 3i )+(5 - 4i) = (5 - 4i)+(2 + 3i). A) asociativa. B) distributiva. C) inverso aditivo. D) conmutativa. Cual es la respuesta correcta ? please help me quickly
Answer:
D) Comutativa
Step-by-step explanation:
a+b=b+a (álgebra)
espero que te sirva mi ayuda
someone please explain this
Answer:
Step-by-step explanation:
110=4t+90(being vertically opposite angles)
110-90=4t
20/4=t
5=t
Answer:
Hello! answer: t = 5 degrees
Step-by-step explanation:
these are vertical angles meaning they will have the same measure! 4 × 5 = 20 and 20 + 90 = 110 therefore t = 5 HOPE THAT HELPS!
can someonee help me please
Answer:4
Step-by-step explanation:
x+8=2x-1
so x-9=0
and x=9
so x+6=9+6=15
and x+8=9+8=17
You can do Pythagoras' theorem:
17^2-15^2=64
so [tex]\sqrt{64}[/tex]=4