Answer:
The third quartile is 56.45
Step-by-step explanation:
The given parameters are;
The first quartile, Q₁ = 30.8
The median or second quartile, Q₂ = 48.5
The mean, [tex]\bar x[/tex] = 42.0
Coefficient of skewness = -0.38
The Bowley's coefficient of skewness (SK) is given as follows;
[tex]SK = \dfrac{Q_3 + Q_1 - 2 \times Q_2}{Q_3 - Q_1}[/tex]
Plugging in the values, we have;
[tex]-0.38 = \dfrac{Q_3 + 30.8 - 2 \times 48.5}{Q_3 - 30.8}[/tex]
Which gives;
-0.38×(Q₃ - 30.8) = Q₃ + 30.8 - 2 × 48.5
11.704 - 0.38·Q₃ = Q₃ - 66.2
1.38·Q₃ = 11.704 + 66.2 = 77.904
Q₃ = 56.45
The third quartile = 56.45.
Traduce el enunciado a expresión algebraica La suma de dos números pares consecutivos
Answer:
The answer is "Expression: x+(x+2)".
Step-by-step explanation:
Given:
The sum of two consecutive even numbers
Proving:
Let,
The First number is = x
The second consecutive number is = x+2
Calculating value by adding value:
Expression:
[tex]\Rightarrow x+(x+2)\\\\[/tex]
when x= 1, 2, 3 .... it gives:
[tex]\Rightarrow 1+(1+2)= 1+3=4\\\\\Rightarrow 2+(2+2)= 2+4=6\\\\\Rightarrow 3+(3+2)= 3+5=8\\[/tex]
That's why the sum of consecutive numbers is even.
Please help I don’t get it!!!
( I will mark brainliest!)
Answer:
15/4 OR 3 whole number 3/4
Step-by-step explanation:
What is the ratio of the volume of Cylinder A to the volume of Cylinder B? If cylinder A has a radius of 3 and a height of 4 and cylinder B has a radius of 4 and a height of 3
Answer:
3:4
Step-by-step explanation:
Volume of cylinder A = V= π[tex]r^{2}[/tex]h = r,3 h,4 = [tex]\pi[/tex]36
Volume of cylinder B = V= π[tex]r^{2}[/tex]h = r,4 h,3 = [tex]\pi[/tex]48
Ratio of the volume = [tex]\frac{36}{48}[/tex]
= [tex]\frac{18}{24}[/tex]
= [tex]\frac{9}{12}[/tex]
= [tex]\frac{3}{4}[/tex]
= 3:4
Hope it helps!
Mark as brainliest!
Katherine earned 84, 92, 84, 75, and 70 on her first 5 tests.
What is the minimum grade Katherine needs to earn on the next test to have a mean of 84?
Answer:
D
Step-by-step explanation:
Okay, so the best way to find is too plug in the answer choices.
to find the mean you: add all the numbers up and then, you divide it by however many numbers there are.
minimum meaning exactly 84 no greater!
Start with letter choice A
84+92+84+75+70+81=486
486/6=81 which is below minimum
Next is letter choice B
84+92+84+75+70+84=489
84/6=81.5 which is below minimum
Next is letter choice C
84+92+84+75+70+95=500
500/6=83.3 which is below minimum
Next is letter choice D
84+92+84+75+70+99=504
504/6=84 which is the correct answer
pls mark me brainliest
3. A $5,000 principal is invested in two accounts, one earning 1% interest and another earning 6% interest. If the total interest for the year is $170, then how much is invested in each account?
Answer:
threee
Step-by-step explanation:
The total cost for my brother's bowling party was \$140 sign, 140. It cost \$50$ sign, 50 to reserve a bowling lane plus the cost of renting shoes for the 9 c people attending.
Answer:
$10
Step-by-step explanation:
see attachment for the complete question.
140 - 50=90
90 divided by 9 is 10
Therefore,the cost of shoes per person is $10.
5y + 3 > −7y + 13 Multi-step linear inequalities
Answer:
y > [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Given
5y + 3 > - 7y + 13 ( add 7y to both sides )
12y + 3 > 13 ( subtract 3 from both sides )
12y > 10 ( divide both sides by 12 )
y > [tex]\frac{10}{12}[/tex] , that is
y > [tex]\frac{5}{6}[/tex]
Graph the points ( 0, 2 ), ( 6, 2 ), ( 7, 4 ), ( 1, 4 ) and connect the points in order to create a parallelogram. What is the perimeter of the parallelogram? Is the perimeter a rational or irrational number? How do you know?)
Answer: 16, rational
Step-by-step explanation: because its a real number
can someone help and where do I put the,
Answer:
[tex]4000[/tex]
Step-by-step explanation:
[tex]8949-5324[/tex]
[tex]=3625[/tex]
How do you solve for all values of x by factoring
Answer:
Just follow the guideline given below.
Step-by-step explanation:
To solve values of x by factoring, you need to follow these steps:
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve it.
4. List each solution from 3 as a solution to the original equation.
You usually end up with an answer like x =.. or x = ... and so on.
find 8x^3 -22x^2 -4
divided by 4x-3
An article is purchased for Rs.5000 andsold for Rs.4500.Find loss percent
Answer:
10% loss
Step-by-step explanation:
the difference = Rs. 5000 -Rs. 4500 = Rs. 500
Rs. 500/Rs. 5000*100%= 10%
Since it was reduction in price, it is 10% loss
Calculate the area of the circle below. (Use 3.14 for Pi)
A. 200.96 square inches
B. 50.24 square inches
C. 25.12 square inches
D. 401.92 square inches
Answer:
A =200.96 in ^2
Step-by-step explanation:
The radius of the circle is 8 in
The area of the circle is
A = pi r^2
A = 3.14 * 8^2
A =200.96 in ^2
Answer:
A is the answer
Step-by-step explanation:
Area of a circle= 3.14*8^2
8^2=64
64*3.14=200.96
Please help, I am very confused!!!!!
Answer:
6 times 7 times 8
Step-by-step explanation:
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
Quadratic formula: x =
- Vb2 - 4 ac
2a
Answer: ([tex]\frac{-5 +\sqrt{5} }{2}[/tex], 0), ([tex]\frac{-5 -\sqrt{5} }{2}[/tex], 0)
Step-by-step explanation: Let me know if you need an explanation.
The area of a rectangular piece of land is 2/3 square mile. One dimension
is 1 1/2 miles.
Answer:
1
Step-by-step explanation:
The Other Dimension:
2/3 divided by 1 1/2 = 2/3 x 3/2 = 1
Hope this helps
Ps. I have taken the dimension length to be a mixed number, because they were farther apart. please let me know if wrong
107.843137255 to 1 decimal point
Answer:
107.8
Step-by-step explanation:
1 decimal point is the tenths place, thus we have 107.8
84 ounces is how many pounds?
Answer:
5.25 pounds
Step-by-step explanation:
We know that 16 ounces = 1 pound
Divide 84 ounces by 1 pound
84/16 = 5.25 pounds
Answer:
[tex]5.25 \: \: pounds[/tex]
Step-by-step explanation:
[tex]1 \: \: pounds = 16 \: ounces \\ [/tex]
so,
[tex]84 \: \: ounce = 5.25 \: \: pounds[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
All corresponding sides are proportional (same ratio) in similar figures. True or False
Answer:
true
Step-by-step explanation:
is it true? i am not sure
Could you please help with this question
Answer:
0
Step-by-step explanation:
Smallest value of C would be when A = - 2 and B = - 2
[tex]\because C = (A - B) ^2 \\ \therefore C = \{ - 2- ( - 2) \}^2 \\ \therefore C = \{ - 2 + 2 \}^2 \\ \therefore C = \{ 0 \}^2 \\ \huge \red{ \boxed{\therefore C = 0}}[/tex]
Can someone please answer this I’m stuck
a is the point with coordinates (4,6)
b is the point with coordinates (d,21)
the graident of line AB is 3
what is the value of d
Answer:
d = 9
Step-by-step explanation:
Calculate the slope of ab then equate to 3.
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 6) and (x₂, y₂ ) = (d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
Below is the graph of y=bx. Find b. On a coordinate plane, an exponential function approaches the x-axis in quadrant 1 and increases exponentially in quadrant 2. b =
Answer:
b=0.5
and the other part is:
B.) The graph shows exponential decay
D.) The graph shows y=2^x reflected over the y-axis
Step-by-step explanation:
i just did this problem on edge 2020
Answer: 0.5, B&D
Step-by-step explanation:
A sector with a radius of 15cm has a central angle measure of 8pi/5 (in radians)
Answer:
565.49 cm2
Step-by-step explanation:
The area of a circle is given by:
Area = pi * r^2
And the whole area represents a central angle of 2pi.
Then, to find the area of this sector, we just need to use a rule of three:
area of pi * r^2 -> central angle of 2pi
area of x -> central angle of 8pi/5
x * 2pi = pi * r^2 * 8pi/5
2x = r^2 * 8pi/5
x = r^2 * 4pi/5 = 15^2 * 4pi/5 = 565.49 cm2
Answer:180pi cm^2
Step-by-step explanation:
Cuz I got it right
Round 2,461,612,242 to the nearest billion
Answer:
2,000,000,000.
Step-by-step explanation:
We know that when rounding, we take a look at the digit next to the digit we are rounding. So if I were to ask for you to round 122 to the nearest hundred, then the answer would be 100.
Remember that we round down if the digit next to it is 0-4. If the digit is 5-9, then we round up.
In this case, the digit next to the 2 is a 4. We know that we round down with a 4, so we go to the nearest whole billion, in this case 2 billion.
I hope this helps!
Find the inverse of the function Y=(X -4) cubed
Step-by-step explanation:
replace x with y and y with x
HELP ME PLEASE!!! URGENT!!
Answer:
False
Step-by-step explanation:
See how the bottom of the line F(x) just drops off? That means there isn't an even decline, meaning even the inverse would have an uneven slope.
This line cannot be a function, no matter which way you turn it.
Answer:
false
Step-by-step explanation:
f is on the Opisite side.
4. In the hockey season, Chris had 150 shots on goal. She scored on 22% of her
shots. How many goals did she score?
Answer:
She scored on 33 of them
Step-by-step explanation:
You take 150 and multiply it by .22. which is 22%
How do you calculate the interquartile range of a dot plot or data set?
Answer:
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
hope this helps
correct me if this is wrong
How many solutions does the system have
Answer:
Step-by-step explanation:
28x-12y=16 and -6x-12y=3
or
14x-6y=4 and -14-28y=1
or
-28x-12y=16 and 28x-56y=14
