POUILO 11. For a bivariate frequency table having (p + q) classification the total number of cells is
(a) p (b) p +q (c) q (d) pq
Answer:
g
Step-by-step explanation:
f
A can of lemonade holds one-third of a litre. How many litres are there in 100 can
Answer:
33 Litres
Step-by-step explanation:
When a sample has an even number of observations, the median is the
Group of answer choices
observation in the center of the data array
average of the two observations in the center of the data array
value of the most frequent observation
Answer:
average of the two observations in the center of the data array
Step-by-step explanation:
When there is an odd number, we use the middle
Example
1,5,9
The median is 5
When there is an even number
1,3,5,7
The middle is between the 3 and 5 so we average the middle number
(3+5)/2 = 4
Answer:
the answer is => observation in the center of the data array
Step-by-step explanation:
[tex]\sf{}[/tex]
If f(x)=3x^2-x+6, evaluate f(-4)
Answer:
f(-4) = 58
Step-by-step explanation:
Let x = -4:
[tex]f(-4)=3(-4)^2-(-4)+6\\\\f(-4)=3(16)+4+6\\\\f(-4)=48+4+6\\\\f(-4)=58[/tex]
Kurt simplifies this equation and says the
solution is x = 7. What can you tell Kurt
about his work?
3(x-7)=2x - 14
3x - 7 = 2x - 14
x=-7
He made an error on the second line. Kurt didn't distribute the 3 to each term inside the parenthesis of (x-7)
3(x-7) does not turn into 3x-7. Instead, it should be 3x-21 because 3*7 = 21.
This is what his steps should look like
3(x-7) = 2x - 14
3x - 21 = 2x - 14
3x-2x = -14+21
x = 7
If (4x-5) :(9x-5) = 3:8 find the value of x.
Answer:
x is 5
Step-by-step explanation:
[tex] \frac{4x - 5}{9x - 5} = \frac{3}{8} \\ \\ 8(4x - 5) = 3(9x - 5) \\ 32x - 40 = 27x - 15 \\ 5x = 25 \\ x = \frac{25}{5} \\ \\ x = 5[/tex]
Step-by-step explanation:
as you can see as i solved above. all you need to do was to rationalize the both equations
1-5. Graph MU (line MU) for M(-1, 1). (Look at the bottom of the pic)
a) The slope of the line MU is [tex]\frac{4}{5}[/tex]
b) The distance between the coordinates of the line MU is √41
c) There are differences and similarities between (a) and (b).
The slope of a line is used to describe how steep the line is. This is expressed mathematically as;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where:
(x1, y1) and (x2, y2 are the coordinate points)
From the graph shown, we are given the coordinates M(-1, 1) and U(4, 5)
a) The slope of the line MU will be expressed as;
[tex]m=\frac{5-1}{4-(-1)}\\m=\frac{4}{5}[/tex]
The slope of the line MU is [tex]\frac{4}{5}[/tex]
The formula for calculating the equation of a line is expressed as y = mx + b
b is the y-intercept.
Substitute m = 4/5 and (-1, 1) into the expression y = mx + b
[tex]1 = -(4/5) + b\\1 = -4/5 + b\\b = 1 +4/5\\b = \frac{5+4}{5} \\b = \frac{9}{5}[/tex]
Get the required equation.
Substitute m = 4/5 and b = 9/5 into y = mx + b
[tex]y=\frac{4}{5}x+\frac{9}{5}\\5y=4x+9\\5y-4x=9[/tex]
The required equation of the line is 5y - 4x = 9
b) The formula for calculating the distance between two points is expressed as;
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given coordinates in (a) to get the distance MU
[tex]MU=\sqrt{(4-(-1))^2+(5-1)^2}\\MU=\sqrt{(4+1)^2+(5-1)^2}\\MU=\sqrt{(5)^2+(4)^2}\\MU=\sqrt{25+16}\\MU=\sqrt{41}[/tex]
Hence the distance MU is √41
c) There are similarities and differences in the calculations in (a) and (b). The similarities lie in the usage of the change in the coordinates for the calculation of the slope and the distance.
The difference is that we do not need the slope of the line to calculate the distance MU but the slope y-intercept is required to calculate the equation of the line.
Learn more about lines here: https://brainly.com/question/12441680 and https://brainly.com/question/15978054
An architect represents a 9 inch height as 1/4 inch on a scale drawing. Which of the following scales did the architect use?
Answer:
1/4x9=9/4 2 1/4, 2.25, (3/2)2
Step-by-step explanation:
The answer is 9/4 when you multiply it. But it can also be simplified as one of the answers here I wrote above.
The number under the radical sign or square root sign is called the
Answer:
Radicand
Step-by-step explanation:
The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9.
Divide 9x4 - 6x2 + 3x2 by 3x2 -1.
Answer:
3x^2 is the final solution
See the image below for step by step explanation.
Solve the System of Equations by Substitution. Show ALL work
x+y=18
y=2x-3
plz help me plz
(2.5a^ + 5.2b^) (6.2a^ + 2.6b^)
Answer:
Sorry my HANDWRITING is not good . :(
Please help its urgent, precalculus
Answer:
Part IA.
x = 0 corresponds to first piece of x ≤ 1, so it is:
f(x) = x²B.
At x = 0, the value of function is:
f(0) = 0² = 0Part IISee the attached graph for A to D parts of the question.
Pls help need this done hurry
Answer:
Shade 23 boxes
Step-by-step explanation:
This is the first two rows fully (all 10 boxes) and then three more from the third row.
xxxxxxxxxx
xxxxxxxxxx
xxx . . . . . . .
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There is 2 questions here please help me! Thank you!
Answer:
3×(-4)×2
= -24
good day god bless you
Answer:
(−25)(5) = −125; he withdrew $125
-24
Step-by-step explanation:
Because he is withdrawing money, he is deducing money form his account, which makes the $25 negative in the equation. The weeks however, cannot be negative. so the correct answer is (−25)(5) = −125; he withdrew $125.
(3) x (-4) x (2)
(3 x -4) x (2)
(-12) x (2)
(-12 x 2)
-24
hope this helps! if you have any questions, let me know!
Given the central angle, name the arc formed.
Major arc for ∠EQD
A. EQDˆ
B. GDFˆ
C. EGDˆ
D. EDˆ
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Answer:
C. EGD
Step-by-step explanation:
A major arc is typically named using the end points and a point on the arc. Here, the end points are E and D, and points on the major arc include C, G, and F. The major arc ED could be named any of
arc ECDarc EGD . . . . choice Carc EFDOf course, the reverse of any of these names could also be used: DCE, DGE, DFE.
List the stem numbers below!!
Answer:
see below
Step-by-step explanation:
The stems are in the middle and the leaves are on the left and right
Stems are 0,1,2,3,4,5
Solve -5/2 +3/4÷1/6 using the order of operations left to right.
Answer: -21/2
Concept:
Usually, when doing mathematics operation, it goes by the PEMDAS order:
ParenthesisExponentMultiplicationDivisionAdditionSubtractionHowever, since the question asks to solve the order of operation from left to right, then we would be doing [addition] --> [Divison]
Solve:
Given
(-5/2) + 3/4 ÷ 1/6
Operate with addition
=(-10/4) + 3/4 ÷ 1/6
=(-7/4) ÷ 1/6
Operate with division
=(-7/4) × 6/1
=-42 / 4
=-21 / 2
Hope this helps!! :)
Please let me know if you have any questions
Mia wants to buy 3 notebooks for $1.29 each. What is the expression for the total cost?
Step-by-step explanation:
Mia want to buy 3 notebook for $1.29 each ,
then total cost =3×1.29
hence, 3×29
1\6+1/12+2/6=2+1+4/12
=7/12
Find the area of a triangle whose two sides are 12 inches and 14 inches long, and has a perimeter of 34 inches. A. 23.24 in² B. 47.91 in² C. 24.74 in² D. 79.84 in²
Answer:
C
Step-by-step explanation:
That makes the third side 8 inches. Bc 34 -12 -14 = 8.
There's a formula that gives you the area of a triangle with all three sides.
It's kinda long so I won't write it out but it uses the semi-perimeter and it's called heron's formula if you want to search it up.
I just plugged the values into Heron's formula calculator.
The answer is around 47.906158268014, so C.
Area of the triangle is [tex]47.91 \ in^{2}[/tex].
What is area of triangle?The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.
Given
Perimeter = 34
Two sides of the triangle = 12, 14
Third side of the triangle = Perimeter - 12 - 14
= 34 - 12 - 14
= 8 inches
According to the figure, using Pythagoras theorem
[tex]h^{2}=8^{2} -x^{2}[/tex]
[tex]h^{2}=12^{2} - (14-x)^{2}[/tex]
[tex]8^{2} -x^{2} =12^{2} -(14-x)^{2}[/tex]
[tex]64-x^{2} =144-196+28x-x^{2}[/tex]
[tex]28x=116[/tex]
[tex]x=4.14[/tex]
So, [tex]h^{2} =8^{2} -4.14^{2}[/tex]
[tex]h^{2} =64-17.15[/tex]
[tex]h=6.844[/tex]
So, the area of the triangle = [tex]\frac{1}{2} \times 14 \times 6.844[/tex]
= [tex]47.91 \ in^{2}[/tex]
Area of the triangle is [tex]47.91 \ in^{2}[/tex].
Find out more information about area of the triangle here
https://brainly.com/question/22964077
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18. Solve the equation for X.
Answer:
Option a is the correct answer
Will give brainliest answer
Adeyemi who is 15 years old is 3 years older than his younger brother Ojo . If Okonkwo the eldest brother is 21 years old . What is the average of the three brothers.
Which equation has infinitely many solutions?
A. -5(x + 2) = -4x − 12 − x + 2
B. 3x − 4 + 2x = 5(x − 4)
C. 5(x + 7) = -5(x − 7)
D. 6x + 2 − x = -2x − 2 + 7x
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Answer:
A
Step-by-step explanation:
We can eliminate parentheses, collect terms, and subtract the right-side expression from both sides to put these equations in general form. Then it is very easy to tell how many solutions there are .
A. -5x -10 = -5x -10
0 = 0 . . . . . true for all values of x; infinite solutions
B. 5x -4 = 5x -20
16 = 0 . . . . . not true for any value of x; no solutions
C. 5x +35 = -5x +35
10x = 0 . . . . . true for x=0; one solution
D. 5x +2 = 5x -2
4 = 0 . . . . . not true for any value of x; no solutions
can anyone heelp me
b
Answer:
B. suggest that you and your boss schedule regular check-ins at lunchtime and at the end of the day
Step-by-step explanation:
It allows you to be ontask at your role (which you are hired for) while at the same time helps your boss know that you are on top of everything. It is the most polite option since you are setting professional boundaries but not complaining and showing frustrations.
(also so that your boss isn't micro-checking on you)
A job can be done by 30 men in 15 days. How long would it take 10 men to do the same job?
Answer:
45 days
Step-by-step explanation:
Based on the giving information, 30*15/10.
Reduce the fraction by canceling the greatest common factor: 3*15 = 45
The germination time for a newly developed seed has a normal distribution, with a mean germination time of 16.4 days and a standard deviation of 2.2 days. What percentage of the seeds have a germination period
a. between 15 and 18 days?
b. less than 12 days?
c. 99% of the seeds have a germination period of at least ________ days.
Answer:
c
Step-by-step explanation:
On which number line do the points represent 7 1/2 and +1?
Answer:
D
Step-by-step explanation:
last number line.
Which of the following is the function for the graph below and shows the end behavior of the function as x>-00?
Answer:
A
Step-by-step explanation:
I just used a graphing calculator.
Just type in all the functions and pick the graph and function pair that match the picture.
I hope this helps!
pls ❤ and mark brainliest pls!
Assuming you want x to approach negative infinity, you have the correct answer. It is choice A.
=====================================================
Explanation:
The root x = -2 leads to the factor x+2. That means the answer is between A and B.
As x approaches negative infinity, i.e. as we move to the left, we're going down the red curve and y = f(x) is going to approach negative infinity as well.
In terms of symbols, we'd write [tex]x \to -\infty, \ f(x) \to -\infty[/tex]
Informally, we could say "it falls to the left" as a way to describe this left end behavior.
Solve for x: −3|x + 7| = −12
x = 5 over 3, x = −19 over 3
x = −3, x = −11
x = −3, x = 11
No solution
Answer:
x=-3 x=-11
Step-by-step explanation:
−3|x + 7| = −12
|x + 7|=4
x+7=4 x+7=-4
x=-3 x=-11
