Answer:
[tex]Q_1 = 7[/tex]
[tex]Q_2 = 10[/tex]
[tex]Q_3 = 13.5[/tex]
Step-by-step explanation:
Given
5, 7, 7, 8, 10, 11, 12, 15, 17.
Required
Determine Q1, Q2 and Q3
The number of data is 9
Calculating Q1:
Q1 is calculated as:
[tex]Q_1 = \frac{1}{4}(N + 1)[/tex]
Substitute 9 for N
[tex]Q_1 = \frac{1}{4}(9 + 1)[/tex]
[tex]Q_1 = \frac{1}{4}*10[/tex]
[tex]Q_1 = 2.5th\ item[/tex]
This means that the Q1 is the mean of the 2nd and 3rd data.
So:
[tex]Q_1 = \frac{1}{2}(7+7)[/tex]
[tex]Q_1 = \frac{1}{2}*14[/tex]
[tex]Q_1 = 7[/tex]
Calculating Q2:
Q2 is calculated as:
[tex]Q_2 = \frac{1}{2}(N + 1)[/tex]
Substitute 9 for N
[tex]Q_2 = \frac{1}{2}(9 + 1)[/tex]
[tex]Q_2 = \frac{1}{2}*10[/tex]
[tex]Q_2 = 5th\ item[/tex]
[tex]Q_2 = 10[/tex]
Calculating Q3:
Q3 is calculated as:
[tex]Q_3 = \frac{3}{4}(N + 1)[/tex]
Substitute 9 for N
[tex]Q_3 = \frac{3}{4}(9 + 1)[/tex]
[tex]Q_3 = \frac{3}{4}*10[/tex]
[tex]Q_3 = 7.5th\ item[/tex]
This means that the Q3 is the mean of the 7th and 8th data.
So:
[tex]Q_3 = \frac{1}{2}(12+15)[/tex]
[tex]Q_3 = \frac{1}{2}*27[/tex]
[tex]Q_3 = 13.5[/tex]
I needddddd helpppp itsss dueeeeeeeeeee TODAY
Answer:
Term and Coefficcent
Step-by-step explanation:
Answer-
Term and constant (Or coefficient, Im not dat smart c: )
Explanation-
The x and z would be variables
PLEASE YALL I'm GONNA FAIl MY GRADE IF I DON'T Answer THIS PLZZ Yall
Answer:
60/54 =10/9 or 1 1/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the reciprocal to find the answer, and then simplify. When dividing fractions, you multiply by the reciprocal.
5/6 * 12/9 = 60/54
The simplest form of 60/54 is 1 1/9
6 ≤︎ 3x Solve for what “x” is.
prove that,
3(sinθ-cosθ)^4 + 6(sinθ+cosθ)^2 + 4(sin^6θ+cos^6θ) = 13
Answer:
turyufhgjgjkbx
Step-by-step explanation:
fxv⁴% dgfht56%%475&48
PLEASE HELP ON THE SECOND QUESTION!!!!!
Answer:
1 7/8 quarts.
9514 1404 393
Answer:
1 7/8 quarts
Step-by-step explanation:
As you already know, the amount of grape juice required is 1/2 the amount of sparkling water.
(1/2)(3 3/4) = (1/2)(15/4) = 15/8 = 1 7/8
1 7/8 quarts of grape juice are required.
For the figure shown on the right, find the value of the variable and the measures of the angles
Me ayudas por favor con esto es para Hoy por favor es regla de ruffini apretá mi perfil y ve mi pregunta
Katie is making fruit smoothies. Each smoothie has 1/4 cup of fruit. How many smoothies can Katie make if she 3/4 cup of fruit?
A. → 3/16
B. → 1/3
C. → 3
D. → 4
Answer:
C)3
Step-by-step explanation:
divide 3/4 by 1/4 and get 3
Question 2
Select Cylinder from the list of shapes. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify
the shapes of different types of cross sections. Try to form as many different cross-sectional shapes as possible. As in Question 1, it may be helpful to
vary the angle of rotation of the plane gradually.
Part A
In the table, describe the shape of the cross section formed when a particular plane passes through the cylinder.
Description of Cross Section
Description of Plane
plane parallel to the vertical axis
plane parallel to the circular base
plane making an angle with the vertical axis without passing though the base or top surface
plane making an angle with the vertical axis and passing through the base and top surface
plane making an angle with the vertical axis and passing through either the base or the top surface, but not both
Answer:
PLATO
Step-by-step explanation:
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5). Mark this and return
Answer:
a
Step-by-step explanation:
please mark me brainliest.
Answer:
A
Step-by-step explanation:
.....Brainliest?
Have great day! :) :) :)
The distance between two cities on a map is 17 cenimeters.The scale on the map relates 5 cenimeters on the map as 30 miles on the road.What is the actual distance in miles,between the two cities
Answer:
105 miles on map
Step-by-step explanation:
Given data
Distance on map= 17cm
scale= 5 centimeters on the map as 30 miles on the road
hence
if 5cm rep 30 miles
17cm rep x
cross multiply
5*x= 17*30
x= 510/5
x= 105 miles
Hence the distance is 105 miles on map
7.
8.
Review
Rachel sells oval pot planters. A
particular variety was priced at $109.
She sold 110 of the oval pot planters.
What was the total amount of money
she made from the sales?
109
#t
Answer:
$11,990
Step-by-step explanation:
$110x$109
correct me if im wrong :)
Which of the following is a solution to the equation:
-4x + 8y = 4
x = -3, y = -2
O x = 2, y = 3
O x = 2, y = 2
O x = 3, y = 2 soemone tell me which one-
Answer:
It's the last one where x=3 and y=2
Explanation:
Replace x and y with 3 and 2. It then becomes
-4(3) + 8(2) = 4
Solve. -4 × 3 is -12 since a positive times a negative equals a negative. 8 × 2 is 16. Bring down the 4.
-12 + 16 = 4
When solving something like this and you don't know what to do or how to solve it, you can subtract the smaller number from the larger number and then whether the sum is a negative or positive depends on the largest number. So here, 16 is the largest, so the sum will be positive. And 16-12 is 4, so the final answer is positive 4. You can also look at a number line and start from -12 and then add 16 and see which number you end at after adding 16.
show that 36 is a perfect square ny drawing a square with the are of 36
Answer:
Draw a square with each side labeled 6.
If each side is 6 than the number has to be a square.
Help me with this pls
Answer: 3/4
Step-by-step explanation: Best way to remember is rise/run so for every tick up it goes as a numerator and every tick to the right is denominator!
which point is a solution to the system of equations below ?
y = 2x - 2
y = x + 2
A. (6, 4)
B. (1, 3)
C. (6, 1O)
D. (4, 6)
Can someone help me with this problem? (-5 + z) + (5 + y)
shelby is doing an obstacle course in gym class. first , she runs 100 feet and jumps over a hurdle. then , she crawls through a 20-foot tunnel. finally, she dribbles a soccer ball 60 feet to the finish line. how many yards long is the obstacle course?
Answer:
59 yards
Step-by-step explanation:
100ft=33 yards
20ft=6 yards
60ft=20 yards
33+6+20=59
Answer:
60 yards
Step-by-step explanation:
100 + 20 + 60= 180 ft
180 feet contributed into yards is 60.
the value of z varies jointly with x and y. if z=4 when y=20 and x=10, find the value of z when x=2 and y=68
1. z=2/3
2. z=17
3. z=0.50
4. z=2.72
Answer:
2.72
Step-by-step explanation:
how many solutions? y=9x+11 y=-9X+11
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Answer:
1 solution: (0, 11)
Step-by-step explanation:
Each equation is in slope-intercept form. It is easy to see that the slopes are different and the y-intercepts are the same.
The fact that the slopes are different means there is one solution.
The fact that the y-intercepts are the same means that solution is the y-intercept.
Find the 80th term of the following arithmetic sequence.
17, 26, 35, 44,
Answer:
728
Step-by-step explanation:
formula is
Tn= a+(n-1)d
where a is the first term, d is the common difference and n is the term you are looking for
T80 = 17+(80-1)*9T80= 17+ (79)*9T80= 17 + 711T80= 728Dwight can run four times faster than Jim. If Jim runs a mile in 3 minutes, which equation would allow you to solve for Dwight's mile time? J represents Dwight's mile time
Answer:
the office
Step-by-step explanation:
Numbers 100 to 125 are written on separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking in to it. What is the probability of getting a) A number 108? B) a number less than 107 c) A number greater than 120?
Step-by-step explanation:
The numbers are given as;
100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125
What is the probability of getting;
a) A number 108?
Probability = Number of favorable outcomes / Total number of outcomes
Number of favourable outcome = 1
Total number of outcomes = 26
Probability = 1 / 26
B) a number less than 107
Probability = Number of favorable outcomes / Total number of outcomes
Number of favourable outcome = 100, 101, 102, 103, 104, 105, 106 = 7
Total number of outcomes = 26
Probability = 7 / 26
c) A number greater than 120
Probability = Number of favorable outcomes / Total number of outcomes
Number of favourable outcome = 121, 122, 123, 124, 125 = 5
Total number of outcomes = 26
Probability = 5 / 26
The discount price of a hat is $18. What is the regular price if the store offers a 20% discount
Answer:
22.50
Step-by-step explanation:
because 18 divided by 4 is 4.5
then 18 plus 4.5 is 22.50
x
A field is in the form of a rhombus having each side 81 m and altitude 25 m. What is the side of a square
field which has the same area as that of the rhombus?
Answer:
the side of a square is 45 m
Step-by-step explanation:
The computation of the side of the square field that contains the similar area as compared with rhombus is given below:
As we know that
Area of rhombus = Base × Altitude
= 81 × 25
= 2025
And, area of Square = Side × side
2025 = side^2
side = √2025
= 45m
Hence, the side of a square is 45 m
he perimeter of parallelogram ABCD is 80 cm. AD is 7 cm more than twice AB. Find the lengths of all four sides of ABCD.
Answer:
AB = 11
BC = 29
DC = 11
AD = 29
Step-by-step explanation:
First, draw out and label the parallelogram ABCD. I've done so for you below:
Now, to figure out what to label the sides, refer to:
AD is 7 more than twice AB.
"Than" means that whatever we write, we flip it. For example, 7 more then 5 would be 5+7. Though this may not be important for addition, it is for subtraction. For example, 7 less than 5. This would be 5-7, but if you wrote it wrong, it would be 7-5.
"Is" is key word for "=". So:
AD = 7 more than twice AB.
"Twice" means "two times." So:
AD = 7 more than 2(AB).
AD = 2(AB) + 7
Let's label AB as x.
If the perimeter is 80, then that means AD+AB+BC+DC=80.
We know that in a parallelogram, opposite sides are congruent. So:
AD+AD+AB+AB=80
(2x+7) + (2x+7) + x + x = 80
2(2x+7) +2x = 80
4x + 14 + 2x = 80
6x + 14 = 80
6x = 66
x = 11
AB = 11
AD = 2x + 7
= 2(11) + 7
= 22 + 7
= 29
Help find x and y please
Answer:
Step-by-step explanation:
e has been found lol
A pet store has 7 cats. here are their weights (in pounds)
6, 15, 12, 8, 15, 12, 12
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
To find a mean, you total all numbers, then divide by the quantity of numbers.
=(14+14+12+16+6+11+8)/7
=81/7
=11.571 = 11.6 lbs. rounded
Hope this helps! :)
30-60-90 triangle..find the value of x?
Answer:
A. y = 9√3
Step-by-step explanation:
The relationship of the sides of the triangles are as follows:
First leg = x
Second leg = x√3
Hypotenuse = 2x
Since we know the first leg is 9, multiply that by √3.
Therefore, y = 9√3.
Answer for brainliest
Answer:
2, 18, 56.54
Step-by-step explanation:
hope this helped!
Will give brainlest cus I'm lazy plus it's late at night and I wanna sleep
Answer:
220Step-by-step explanation:
to understand thisyou need to know about:PEMDASgiven:[tex]40.8 - 1 {0}^{2} [/tex]let's simplify:40.8-10²
40.8-10×10
40.8-100
320-100
220