Answer:
C. No, because not all of the pairs represent the same ratio
Step-by-step explanation:
6/2 = 3
12/5 = 2.4
14/6 = 2.3
18/8 = 2.25
PLEASE HELP AS SOON AS POSSIBLE
A) The Slope is: 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is: y = 2x + 4
How to find the slope of the linear graph?The general form of equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the given graph, we can see that the slope is gotten from the formula:
A) Slope = (y₂ - y₁)/(x₂ - x₁)
Thus:
Slope = (10 - 4)/(3 - 0)
Slope = 6/3
Slope = 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is:
y = 2x + 4
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please help... no links
Convert 85.8\%85.8% to a fraction in simplest form and a decimal
Answer:
Step-by-step explanation:
1/1. The answer is just one. If the answer is a number over itself such as, b/b then it is just b.
Determine if the three given side
lengths form a right triangle.
10 cm, 15 cm, 20 cm
Answer:
It doesn't form a right triangle
Step-by-step explanation:
According to the Pythagorean theorem, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2 + b^2 = c^2 by substituting the three values, 10, 15, and 20 you should get an equivalent value of the hypotenuse.
10^2 + 15^2 = 20^2
100 + 225 = 400
325 =/= 400
This is false.
Since this is not equivalent, it is NOT a right triangle.
Hope this helped :)
Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
You must choose an srs of 10 of the 440 retail outlets in new York that sell your company’s products
A) describe how you would select the srs using technology
B) describe how you could choose a stratified random sample
C) describe how you could choose a cluster sample
The correct answer is option (a) 001, 002, 003, . .. ,439, 440
What is Sample Size?The number of individuals or observations included in a study is referred to as the sample size.
Usually, n is used to indicate this number. The size of a sample effects two statistical properties:
1) The accuracy of our estimates, and 2) The ability to draw inferences from the study.
Given:
We must choose an srs of 10 of the 440 retail outlets in new York that sell your company’s products
Sample size, n = 10
Population size, N = 440
So, we must label the population with numbers 001, 002, 003, . .. ,439, 440.
Thus, each member of the population is correctly identified.
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why do the hands on the clock form an angle?
Answer:
The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)
I hope this helps you!
Can someone help with these two?
The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the graph?
Answer:
an individual who invested in the market in 2006 has yet to regain the losses incurred in 2008
Step-by-step explanation:
I NEED THE ANSWER ASAP
If you were to write the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2--what would be the value of b?
y=mx+b
y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2
m=-2
Now let us find the y intercept
-3=-2(4)+b
-3=-8+b
-3+8=b
5=b
Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.
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Find the value of y. (7x-7) 63 (3x + 45) (-6)
Answer:
b
Step-by-step explanation:
just did the test like 20 mins ago good look
Determine if the two lines are parallel, perpendicular, or neither.
x=5 x=−5
Answer:
Parallel
Step-by-step explanation:
Determine which integer will make the inequality x − 3 > 15 true.
D: S:{15}
A: S:{17}
B: S:{18}
C: S:{30}
Answer:
c) S : {30}
Step-by-step explanation:
a) S : {17}
→ 17 - 3 > 15
→ 14 < 15
So, it is not suitable.
b) S : {18}
→ 18 - 3 > 15
→ 15 = 15
So, it is not suitable.
c) S : {30}
→ 30 - 3 > 15
→ 27 > 15
So, it is correct answer.
d) S : {15}
→ 15 - 3 > 15
→ 12 < 15
So, it is not suitable.
Identify the domain of the exponential function . which is the graph of f(x)=2^-x? I need to see it graphed please!
Answer:
domain: all real numberssee the attachment for a graphf(0) = 1Step-by-step explanation:
The domain of any exponential function is "all real numbers."
The value of f(0) is ...
f(x) = 2^-x
f(0) = 2^(-0) = 1
_____
Comment on the graph
The free Desmos graphing calculator is an excellent tool for when you "need to see it graphed." It is available in a web browser or as an app for your Android or iOS platform. (I found there to be a little "learning curve", but once you determine the limitations, it is exceptionally useful.) On-line help and tutorials are available, along with some really good examples of use. I can't give you a link, but it is easily found with a search.
Wally uses his own recipe for mixing glittered paints. He recently mixed 3 1/3 cups of glitter to make 2 1/2 gallons of paint. How much glitter does Wally use in each gallon of paint
Answer:
1 cup glitter i guess
Step-by-step explanation:
Answer:
1 1/2 cups of glitter to each gallon of paint
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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joseph left the house at 11:17 A.M and returned at 12:45 P.M how many minutes was joseph gone from the house
I need help finding the area
\( \\ \\ \)
To find:Area of triangle\( \\ \\ \)
We know:-
When base and height of triangle is given we use this formula:
\( \bigstar \boxed{ \rm Area \: of \: triangle = \frac{base \times height}{2} }\)
\( \\ \\ \)
So:-
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{base \times height}{2} \\ \)
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 10}{2} \\ \)
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times2 }{2} \\ \)
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times\cancel2 }{\cancel2} \\ \)
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle = \dfrac{7 \times 5 \times1 }{1} \\ \)
\( \\ \\ \)
\( \dashrightarrow \sf \: Area \: of \: triangle =7 \times 5\)
\( \\ \\ \)
\( \dashrightarrow \bf \: Area \: of \: triangle =35 {yd}^{2} \\ \)
\( \\ \\ \)
\( \therefore \underline{\textsf{ \textbf {\: Area \: of \: triangle = \red{35}}} { \red{\bf{yd} }^{ \red2} }}\)
\( \\ \\ \)
know more :-\(\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}\)]
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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Is ABC similar to A DEF? Why or why not?
OA. Yes, because the angles are congruent and the sides are
proportional.
OB. Yes, because the angles are close enough and the sides are
proportional.
OC. We cannot tell because the third side is not given.
D. No, because not all the angles are congruent.
The correct answer is A. Yes, because the angles are congruent and the sides are proportional.
Two triangles are considered similar if their corresponding angles are congruent and their corresponding sides are proportional. In this case, we are given the triangles ABC and ADEF.
To determine if ABC is similar to ADEF, we need to compare the angles and sides of the two triangles.
If all the angles of one triangle are congruent to the corresponding angles of the other triangle, and the sides of one triangle are proportional to the corresponding sides of the other triangle, then the triangles are similar.
we can say that if the angles of ABC are congruent to the angles of ADEF and the sides of ABC are proportional to the sides of ADEF, then ABC is similar to ADEF.
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A dinner table is 5 feet wide and 7 feet long.
Find the area of the table.
A.
75
B.
35
C.
30
D.
144
Solve f(x) = 5, for the function f(x) = 2x + 1
Answer:
x = 2
Step-by-step explanation:
Those lines will come together and interact at (2 , 5)
(PLS HELP)
A flower shop sells two types of bouquets. The red bouquet consists of a dozen roses and some carnations. The pink bouquet consists of a dozen peonies and some lilies. The price of one dozen peonies is 3 times the price of one dozen roses. Carnations cost $5 and lilies cost $7. The cost of five red bouquets is the same as the cost of two pink bouquets. What is the cost of one dozen roses?
The cost of one dozen of roses as required in the task content is; $11.
What is the cost of one dozen of roses?It follows from the task content that the cost of one dozen of roses according to the given task content is to be determined.
Let the price of one dozen roses be; x.
Therefore, the price of one dozen of peonies would be; 3x.
Also, since Carnations cost $5 and lilies cost $7;
Hence, the price of the red bouquet is; x + 5.
And, the price of the pink bouquet is; 3x + 7.
Since, it is given that; the cost of five red bouquets is the same as the cost of two pink bouquets; it follows that;
5 ( x + 5 ) = 2 ( 3x + 7 )
5x + 25 = 6x + 14
6x - 5x = 25 - 14
x = 11.
Ultimately, the price of one dozen roses is; $11
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Does this set of ordered pairs
represent a function? Why or
why not?
{(-2, 2), (–1, 2), (3, -1), (3, 1), (4, 11)}
Answer:
No because there are multiple Y values for the same X value. 3 is -1 and 1 at the same time meaning it is not a function.
Step-by-step explanation:
PLEASE HELP QUICKY!!!!
What is the range and domain for 10 and 11????
Answer:
10)
Domain: (-∞, ∞)
Range: (∞, 0)
11)
Domain: ( -∞, ∞)
Range: (0, ∞)
I'm not 100% sure this right.
slope = 3/5; through (-4,0)
Answer:
y = 3/5x + 12/5
Step-by-step explanation:
y = mx + c
0 = 3/5 ( -4 ) + c
0 = -12/5 + c
12/5 = c
y = 3/5x + 12/5
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
(A)
Step-by-step explanation:
The survey follows of women's height a normal distribution.
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
The new height requirements would be 57.7 to 68.6 inches
The given parameters are:
\mathbf{\mu = 63.5}μ=63.5 --- mean
\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation
(a) Percentage of women between 58 and 80 inches
This means that: x = 58 and x = 80
When x = 58, the z-score is:
\mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
This gives
\mathbf{z_1= \frac{58 - 63.5}{2.5}}z
1
=
2.5
58−63.5
\mathbf{z_1= \frac{-5.5}{2.5}}z
1
=
2.5
−5.5
\mathbf{z_1= -2.2}z
1
=−2.2
When x = 80, the z-score is:
\mathbf{z_2= \frac{80 - 63.5}{2.5}}z
2
=
2.5
80−63.5
\mathbf{z_2= \frac{16.5}{2.5}}z
2
=
2.5
16.5
\mathbf{z_2= 6.6}z
2
=6.6
So, the percentage of women is:
\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z
2
)−P(z<z
1
)
Substitute known values
\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)
Using the p-value table, we have:
\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034
\mathbf{p = 0.9860948}p=0.9860948
Express as percentage
\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%
\mathbf{p = 98.60948\%}p=98.60948%
Approximate
\mathbf{p = 98.61\%}p=98.61%
This means that:
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.
(b) Change of requirement
Shortest = 1%
Tallest = 2%
If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).
So, we have:
Shortest = 1% to 98%
This means that:
The p values are: 1% to 98%
Using the z-score table
When p = 1%, z = -2.32635
When p = 98%, z = 2.05375
Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
Substitute \mathbf{z = -2.32635}z=−2.32635
\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=
2.5
x−63.5
Multiply through by 2.5
\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5
Make x the subject
\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5
\mathbf{x = 57.684125}x=57.684125
Approximate
\mathbf{x = 57.7}x=57.7
Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=
2.5
x−63.5
Multiply through by 2.5
\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5
Make x the subject
\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5
\mathbf{x= 68.634375}x=68.634375
Approximate
\mathbf{x= 68.6}x=68.6
Hence, the new height requirements would be 57.7 to 68.6 inches
Show that the function f(x)=sin3x + cos5x is periodic and it’s period.
The period of \(f(x)\) is \(\boxed{2\pi}\).
Recall that \(\sin(x)\) and \(\cos(x)\) both have periods of \(2\pi\). This means
\(\sin(x + 2\pi) = \sin(x)\)
\(\cos(x + 2\pi) = \cos(x)\)
Replacing \(x\) with \(3x\), we have
\(\sin(3x + 2\pi) = \sin\left(3 \left(x + \dfrac{2\pi}3\right)\right) = \sin(3x)\)
In other words, if we change \(x\) by some multiple of \(\frac{2\pi}3\), we end up with the same output. So \(\sin(3x)\) has period \(\frac{2\pi}3\).
Similarly, \(\cos(5x)\) has a period of \(\frac{2\pi}5\),
\(\cos(5x + 2\pi) = \cos\left(5 \left(x + \dfrac{2\pi}5\right)\right) = \cos(5x)\)
We want to find the period \(p\) of \(f(x)\), such that
\(f(x + p) = f(x)\)
\( \implies \sin(3x + p) + \cos(5x + p) = \sin(3x) + \cos(5x)\)
On the left side, we have
\(\sin(3x + p) = \sin(3x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \sin(3x+2\pi) \cos(p-2\pi) + \cos(3x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \sin(3x) \cos(p-2\pi) + \cos(3x) \sin(p - 2\pi)\)
and
\(\cos(5x + p) = \cos(5x + 2\pi + p - 2\pi) \\\\ ~~~~~~~~ = \cos(5x+2\pi) \cos(p-2\pi) - \sin(5x+2\pi) \sin(p-2\pi) \\\\ ~~~~~~~~ = \cos(5x) \cos(p-2\pi) - \sin(5x) \sin(p-2\pi)\)
So, in terms of its period, we have
\(f(x) = \sin(3x) \cos(p - 2\pi) + \cos(3x) \sin(p - 2\pi) \\\\ ~~~~~~~~ ~~~~+ \cos(5x) \cos(p - 2\pi) - \sin(5x) \sin(p - 2\pi)\)
and we need to find the smallest positive \(p\) such that
\(\begin{cases} \cos(p - 2\pi) = 1 \\ \sin(p - 2\pi) = 0 \end{cases}\)
which points to \(p=2\pi\), since
\(\cos(2\pi-2\pi) = \cos(0) = 1\)
\(\sin(2\pi - 2\pi) = \sin(0) = 0\)
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 48.99 pounds and the sample standard deviation was 3.7 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.
a) What is the test statistic? Give your answer to four decimal places.
b) What is the P-value for the test? Give your answer to four decimal places.
Answer:
Step-by-step explanation:
Claim: if the mean amount of garbage per bin is different from 50.
Null hypothesis: u=50
Alternative hypothesis : u =/ 50
Using the z score formular for a one sample z test - z = (x - u ) / (sd/√n)
Where x = 48.99, u = 50 sd =3.7 and n = 36
z = 48.99 - 50 / (3.7/√36)
z = -1.01 / (3.7/6)
z = -1.01/0.6167
z = -1.6377
To find the p value at a 0.01 level of significant from the -1.6377 z score for a two tailed test the p value using the p value calculator is 0.1016. The result is not significant at 0.01 level of significant thus we will fail to reject the null and conclude that the mean amount of garbage per bin is 50.