The proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
Methods of standardizationProportion is the fraction of favorable cases from the total number of cases. It is defined for both population and sample.
Median is defined as the numeric value separating the higher half of a sample, a population, or a probability distribution, from the lower half of it.
Therefore, the proportion and the median are two of the most popular and useful methods of standardizing for size and comparing distributions.
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Natalie works in a toy shop and earns $43 per day. she earns an extra $3 for each toy she sells. if natalie wants to earn at least $70 per day, which inequality shows the minimum number of toys, n, that she should sell?
Which expression is equivalent to 3^0x3^-3?
Step-by-step explanation:
[tex] = {3}^{0} \times {3}^{ - 3} [/tex]
[tex] = 1 \times \frac{1}{ {3}^{3} } [/tex]
[tex] = \frac{1}{3 \times 3 \times 3} [/tex]
[tex] = \frac{1}{27} [/tex]
Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth.
Answer: The perimeter of this triangle is 13.47.
Step-by-step explanation:
First you should choose your first two points on the triangle that are on the same line. In this case I'll start with C = (3,3) and B = (8,6)[tex]d = \sqrt{(3 - 8)^2 + (3-6)^2}[/tex]
*Note: Keep X and Y consistent in the distance equation.
The distance for CB = 5.831
After finding this distance continue onto a new set of points to find a new length of the triangle, my second set of points will be A = (5,7) and B = (8,6) to find the length of AB.
[tex]d = \sqrt{(5 - 8)^2 + (7-6)^2}[/tex]
The distance for AB = 3.162
Now you're going to need to use your final to points, in this case for me A and C, and find the length of your final segment. So, I'll use point A = (5,7) and point C = (3,3).
[tex]d = \sqrt{(5 - 3)^2 + (7-3)^2}[/tex]
The distance for AC =4.472
Then find the perimeter by adding up the three side lengths.
AB + CB + AC = P
[tex]5.831 +3.162+4.472=13.465[/tex]
Finally, round 13.465 to the nearest hundredth, 13.47.
*Note: Make sure not to round your answer until the end of the problem to avoid less accurate or even wrong answers.
Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
Step-by-step explanation:
hope it helps you understand
Select Translation, Reflection, or Rotation to identify the single transformation that transforms ∆PQR to ∆P'Q'R'.
Translation Reflection Rotation
(The pictures of the graphs are in the file attached, please look at them to know which ones are for which option.
4x²-12x+9 = 5
☐ A. x= -√√5 +
312
B. x= √√4-3
C. X = -√√4-3
O D. x = √5 + 2/
□ E. x= -√5 +3
2
OF. x = √5 +3
2
Answer:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
Step-by-step explanation:
4x²-12x+9 = 5
Rearrange:
4x²-12x+4 = 0
Solve using the quadratic equation:
x = 3/2 ± [tex]\sqrt{5}[/tex] /2
which one is the correct graph
Graph f(x) = -1/2x
Click on the graph until the graph of f(x) = -1/2x appears
Answer:
The third graph
Step-by-step explanation:
The third graph depicts the function f(x) = -1/2x because for every 1 unit decrease along the y-axis, you travel 2 units on the x-axis.
Also, the two points on the third graph can satisfy the equation.
Point 1: (-2,1)
f(-2) = (-1/2)(-2)
f(-2) = 1
Point 2: (0,0)
f(0) = (-1/2)(0)
f(0) = 0
5. The mapping f: xax² + bx + c defined on the set of real numbers is such that f(0) = -4,f(1)-1 and/(-1)= -5. Find a, b and c. 5 . The mapping f : xax² + bx + c defined on the set of real numbers is such that f ( 0 ) = -4 , f ( 1 ) -1 and / ( - 1 ) = -5 . Find a , b and c .
It looks like you're saying
[tex]f(x) = ax^2 + bx + c[/tex]
and you're asked to find [tex]a,b,c[/tex] given [tex]f(0)=-4[/tex], [tex]f(1)=-1[/tex], and [tex]f(-1)=-5[/tex].
Evaluate [tex]f[/tex] at the three given points:
[tex]x=0 \implies f(0) = \boxed{c = -4}[/tex]
[tex]x=1 \implies f(1) = -1 = a + b + c \implies a+b = 3[/tex]
[tex]x=-1 \implies f(-1) = -5 = a - b + c \implies a - b = -1[/tex]
[tex](a+b) + (a-b) = 3 + (-1) \implies 2a = 2 \implies \boxed{a=2}[/tex]
[tex]a-b = -1 \implies \boxed{b=3}[/tex]
and the mapping is [tex]f(x) = 2x^2 + 3x - 4[/tex].
The unit rate of change of yyy with respect to xxx is the amount yyy changes for a change of one unit in xxx.
Is the unit rate of change of yyy with respect to xxx less in the equation y=6.5xy=6.5xy, equals, 6, point, 5, x or in the graph below?
The unit rate of change of y with respect to x is less in the graph
How to compare the rate of change?The attached graph represents the missing information in the question
The graph passes through the following points
(0,0) and (5,1)
The rate of change of the graph is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
This gives
[tex]m = \frac{1-0}{5-0}[/tex]
Evaluate
m = 0.2
The equation is given as:
y = 6.5x
The slope of the above equation is 6.5
By comparison, 6.5 is greater than 0.2
Hence, the unit rate of change of y with respect to x is less in the graph
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Answer:
The equation
Step-by-step explanation:
i did it on khan academy
Find all real numbers $a$ that satisfy \[\frac{1}{a^3 + 7} -7 = \frac{-a^3}{a^3 + 7}.\]
The real number of the given expression is a=-2.
Given that the expression is [tex]\frac{1}{a^3+7}-7=\frac{-a^3}{a^3+7}[/tex]
Real numbers is known as the union of both rational and irrational numbers. Real numbers can be both positive or negative and are denoted by the symbol “R”.
To compute the value of a.
In the given expression multiply both sides with (a³+7) as
[tex]\frac{(a^3+7)}{a^3+7}-7=\frac{-a^3(a^3+7)}{a^3+7}[/tex]
Simplify the expression as,
1-7(a³+7)=-a³
Expand out terms of the left hand side
1-7a³-49=-a³
-7a³-48=-a³
Taking out minus common from both sides and cancel them
-(7a³+48)=-(a³)
7a³+48=a³
Add -a³-48 on both sides
7a³+48-a³-48=a³-a³-48
6a³=-48
Divide both sides with 6
(6÷6)a³=(-48÷6)
a³=-8
write -8 in the expansion form which is (-2)×(-2)×(-2)=-8
a³=(-2)³
From above it says that
a=-2
Hence, real number that satisfy [tex]\frac{1}{a^3+7}-7=\frac{-a^3}{a^3+7}[/tex] is a=-2.
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Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answer:
(10+4/2, 6+9/2)
(7, 7.5)
The Midpoint is (7, 7.5)
Step-by-step explanation:
I just added the x values and divided them by 2 and then the same for the y values.
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(X1,X2) divided by two and (Y1,Y2) also divided by two.
so you get
10+4/2 and 6+9/2
Add it all up you get
14/2 and 15/2
divide it:
(7,7.5)
Which inequality is equivalent to 3+4/x>_x+2/x
Answer:
the right answer is the first one
2x+2 over x >0
What is the equation of the line that is parallel to y=x+4 and that passes through (5,–4)?
Answer:
y = [tex]\frac{1}{5}[/tex] x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{1}{5}[/tex] x + c ← is the partial equation
to find c substitute (5, - 4 ) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = [tex]\frac{1}{5}[/tex] x - 5 ← equation of parallel line
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Answer: x = 7
Step-by-step explanation:
First, we will plug 4 in for y. Then, to solve we will isolate the variable "x" in the equation.
Given:
8x – 2y = 48
Plug in the y value of 4:
8x – 2(4) = 48
Multiply -2 times 4:
8x – 8 = 48
Add 8 to both sides of the equation:
8x = 56
Divide both sides of the equation by 8:
x = 7
Answer:
x=7
Step-by-step explanation:
8x – 2y = 48
Let y=4
8x -2(4) = 48
8x - 8 = 48
Add 8 to each side
8x-8+8= 48+8
8x = 56
Divide by 8
8x/8 = 56/8
x = 7
A number written in scientific notation has a ________ that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.
A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.
The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten
The exponent is positive and equals the number of spaces to the left of the original decimal point. When expressed in scientific notation, a negative exponent. The exponent's value is equal to how many places to the right the decimal has been pushed.As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.
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does y - x = 2 show direct variation
Answer:
no
Step-by-step explanation:
if I use any numbers too .the numbers can not be constant numbers so this equation is not a direct variation
7 - 5 = 2
6- 4 = 2
not contstant
Show work, can someone help me out having trouble with this problem
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: f = \cfrac{9}{a}+7[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \:a = \cfrac{9}{f - 7} [/tex]
[tex]\qquad \tt \rightarrow \:a(f - 7) = 9[/tex]
[tex]\qquad \tt \rightarrow \:(f - 7) = \cfrac{9}{a}[/tex]
[tex]\qquad \tt \rightarrow \:f = \cfrac{9}{a} + 7[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to anglerms.
From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.
Properties ofa rhombusThe given diagram is a rhombus that has the following properties
Opposite side are equalAll the sides are congruentThe opposite angles are equalThe sum of the adjacent angles are supplementaryFrom the figure shown, we can see that;
<msr is a right angle (equal to 90 degrees)
<mrh is acute since it is less than 90degrees.
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Answer:
A (it must be acute)
Step-by-step explanation:
5 m
2m
6 m
2 m
Mrs Phillips is going to cover the floor with floor boards.
One pack of floor boards will cover 2.5 m².
How many packs of floor boards does she need?
You must show your working.
Diagram NOT
accurately drawn
Mrs. Phillips needs to buy 8 packs of floor boards
In contrast to a square, a rectangle is a planar figure having four equal neighboring sides, four straight sides, and four right angles. An enclosed 2-D form called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposing sides. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.
As per the figure attached Mrs. Phillips floor plan can divided into two rectangles
The area of rectangle is as follow:
Area = length(l) x Width(w)
Area of part 1 will be:
A = 6 x 2 = 12 m²
Area of part 2 will be :
a = 3 x 2 = 6 m²
Total area of floor = A + a
Total area of floor = 12 + 6
Total area of floor = 18 m²
Given one pack of floor boards will cover 2.5 m².
So total pack of floor block needed will be as follow:
Total pack of floor block = Total area of floor/Area covered by one pack of floor boards
Total pack of floor block = 18/2.5
Total pack of floor block = 7.2 packs ≈ 8 packs
Hence Mrs. Phillips needs to buy 8 packs of floor boards
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A blueprint of a house shows a dining room with
an area of 7 square inches. If the blueprint's
scale is 1 inch: 6 feet, what would be the actual
area of the dining room?
A = 7 in.²
Actual Area = [?] ft²
Answer: The Actual area of the dining room is 252 square feet.
Explanation:
How to Find the Actual Area Using Scale?
Given that the area of the house on a blueprint = is 7 square inches.
The scale of the blueprint = is 1 inch: 6 feet.
Therefore, we would have the following proportion:
The area on the blueprint/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
Find the inequality represented by the graph
What is the missing reason in the proof?
Given: ∠ABC is a right angle, ∠DBC is a straight angle
Prove: ∠ABC ≅ ∠ABD
Answer: Since they have the some points in common we can just plot them and seeing ang. DBC would just be a straight line and angle ABC would be 90 degrees and half of that angle so they would be equal
PLS HELP!!! 50 POINTS!!!
Part C:
In the section describing the survey methods, the report states, “Each sample of national adults includes a minimum quota of 60% cell phone respondents and 40% landline respondents.” Do you think this is a good minimum quota for this survey? Should it be lower or higher?
Part D:
The report begins by showing three bulleted highlights from the survey. At the end of the article, you can click a link to view the complete question responses and trends. Click the link and interpret the results of question 5. Use your interpretation of the statistics to write one more bullet point that could be added as a fourth bullet at the beginning of the report.
This is not a good minimum quota for this survey. For us to have a good minimum quota, there must be equality. i,e 50% for cell phone respondents and 50% for landline respondents.
What is the survey method in Statistics?Survey methodology is the study of the sampling of discrete units or groups from a population and the procedures used to gather survey data, including the design of questionnaires and approaches for increasing survey response rates and precision.
A good minimum quota for this survey should be 50% for cell phone respondents and 50% for landline respondents.
It implies that the quota for cell phone respondents should be 10% lower and 10% higher for landline respondents.
For us to answer Part D, kindly provide or repost the complete question since we cannot see any link added.
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Having exactly the same shape and size
Answer:
If two things have the same shape and size then they are congruent to one another. If they are only the same shape but not size, then they are similar.
If two things have the same shape and size then they are congruent to one another.
If they are only the same shape but not size, then they are similar.
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pls help answer ASAP
Answer:
a: 1
b: -1
c: -3
Step-by-step explanation:
You can rearrange the terms and make the equation become:
x - y - 3
There, you can see that the values are the following:
a: 1
b: -1
c: -3
4 kg 2 dag when converted in g gives you?
Answer:
4020 grams
Step-by-step explanation:
4kg=4000g
2 dag= 20g
Total: 4000g + 20g = 4020g
Answer:
4020 grams
Step-by-step explanation:
1 kg = 1000 g
1 dag = 10 g
4 x1000= 4000
2 x 10 = 20
4000 + 20
The width of a certain rectangle is 2 m greater than half its length. Four times its length is 26 m greater than its perimeter. What are the dimensions of the rectangle?
Answer:
Length = 30
Width = 17
Step-by-step explanation:
Let L = length of rectangle and W = Width
The first sentence gives the equation
W = L/2 + 2 ==>
2W = L +4 ==>
L = 2W - 4 .... (1)
The perimeter of the rectangle is 2(L+W) = 2L +2W
Second sentence gives us the equation
4L = 2L + 2W + 26 ===>
2L = 2W + 26 ...... (2)
(2) - (1) ==> L = 30 (2W cancels out)
From (1), W = 30/2 + 2 = 15 + 2 = 17
Check:
Using these values and substituting in equation 2 gives us
2 * 30 = 2* 17 + 26
60 = 34 + 26
which matches
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total $46.21 on gas.
In the first week, Micah bought
x gallons of gas.
In the second week, Micah bought
x gallons of gas.
Answer: In the first week, Micah bought 11 gallons of gas,
and in the second week, he bought 8 gallons of gas
Step-by-step explanation:
In the first week, Micah bought x gallons of fuel at $2.39/gallon
In the second week, he bought (x - 3) gallons at $2.49/gallon
Formulating an equation and solving for x gallons of fuel:
x × 2.39 + (x - 3) × 2.49 = 46.21
2.39x + x × 2.49 − 3 × 2.49 = 46.21
2.39x + 2.49x − 7.47 = 46.21
4.88x − 7.47 = 46.21
4.88x = 53.68
[tex]\frac{4.88x}{4.88} = \frac{53.68}{4.88}[/tex]
x = 11
Therefore,
In the first week, Micah bought 11 gallons of gas
In the second week, he bought (11 - 3) = 8 gallons of gas
In a grop of 25 student 6 study art & biology 10 study biology but not art 3 study neither subject given that a randomly selected study art what is the probability the student study art & biology
½ 0r 50% is the probability that the student studies Art and biology.
What is Probability?Probability is a branch of mathematics that deals with the occurrence of a random event . i.e. Probability means possibility.
According to the question,
Total number of students in the group;
n = 25 students
No. of students that study both art and biology;
n(P u Q) = 6
No. of students that study biology but not art;
n(Q u P') = 10
No. of students that study none of the 3 subjects;
n(P' u Q') = 3
So,
No. of students that study only arts is;
n(P n Q') = 25 - 6 - 10 - 3 = 6
Since, n(P u Q) = 6
Therefore by using formula;
n(P) = n(P u Q) + n(P n Q')
n(P) = 6 + 6
n(P) = 12
Hence,
Probability of the students who studies Art and biology is;
P(P n Q) = [tex]\frac{6}{12}[/tex]
P(P n Q) = ½ i.e. 50%
The probability the student study art & biology ½ i.e. 50%.
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10.
(06.01 MC)
Classify the expression: 5x3 + 2x − 3 (1 point)
Quadratic expression
Linear expression
Cubic expression
Exponential expression
The correct answer is option C which is the given expression is cubic.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given expression
5x³ + 2x − 3
The cubic expression is one in which the highest power of the variable is three or we can say that the degree of the expression is three so the expression will have three solutions.
Therefore the correct answer is option C which is the given expression is cubic.
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