The data below represents the number of runners on each cross country team in the Northern Conference.
\qquad12,15,15,17,19,19,20,22,2412,15,15,17,19,19,20,22,2412, comma, 15, comma, 15, comma, 17, comma, 19, comma, 19, comma, 20, comma, 22, comma, 24
Which box plot correctly summarizes the data?
Choose 1 answer:
Choose 1 answer:
Answer:
I think the answer is A
The correct box plot that represents the number of runners is option c.
What is the correct box plot?A box plot is used to study the distribution and level of a set of scores
The box plot consists of whiskers that represents the minimum and maximum value.
In the box, the line in the middle in the median, the first line to the left represents the lower (first) quartile and the third line on the box represents the upper (third) quartile.
Median = 19
First quartile = 1/4 x 10 = 2.5th term = 16
Third quartile = 3/4 x 10 = 7.5 term = 21
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Please help!! ASAP thanks
Erick and Mia live the same distance from the park and decide to meet at
the park one afternoon. The graphs show their distances from home over
the same 30-minute period as they walked to the park. Each section of
each graph represents 10 minutes.
Which of these statements are true?
Mia returned too her house after 10 minutes. T or F
Mia left her house 10 minutes before Erick left his house. T or F
It took Erick only 10 minutes to walk to the park. T or F
Erick and Mia arrived at the park at the same time. T or F
Erick walked the same distance as Mia during the last 10 minutes. T or F
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
What distinguishes a graph from a chart ?A graph is a graphic that uses the placement of the horizontal (X-axis) and vertical (Y-axis) axes to demonstrate the mathematical relationship between different data sets (Y-axis).
A chart displays data that can be shown as a table, graph, or diagram. It includes a variety of information presentation techniques. Charts are all graphs.
According to the given information
According to the information given in the graph
We got the following true Statements
B, Mia departed her home ten minutes before Erick did.
D, Erick, and Mia all showed up simultaneously at the park.
E, In the previous ten minutes, Erick and Mia both walked the same distance.
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Evaluate 5 + x − 6 ∙ 8 for x = 8.
Which equation has an a-value of 1, a b-value of –3, and a c-value of –5?
0 = –3x – 5 + x2
0 = x – 3 – 5x2
0 = 3x – 5 – x2
0 = –3x + 5 – x2
Answer:
Option (a) is correct.
For given values a = 1 , b = -3 , c = -5 the quadratic equation is
Step-by-step explanation:
Given : a = 1 , b = -3 , c = -5
We have to write the quadratic equation having a = 1 , b = -3 , c = -5 and choose the correct option.
The standard form of quadratic equation is , where a, b, c are constant integers.
Given : a = 1 , b = -3 , c = -5
Then Substitute, we get,
Thus, the obtained quadratic equation is same as option (a)
Thus, For given values a = 1 , b = -3 , c = -5 the quadratic equation is
The equation for which a-value 1, ab-value -3 and ac-value -5 is 0=-3x-5+x².
What is quadratic equation?
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations.
Here, a-value = 1,
ab-value = -3
ac-value = -5
a = 1, b = -3, and c = -5
General Equation,
ax² + bx + c = 0
1x² + (-3)x + (-5) = 0
x² -3x -5 = 0
Thus, the equation for which a-value 1, ab-value -3 and ac-value -5 is 0= -3x -5 + x².
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the formula s= I dont know how to type that but I really need helppppp
Answer:
\( s = \sqrt{30} - 2\sqrt{5} m \)
Step-by-step explanation:
Given:
Formula for side length of cube, \( s = \sqrt{\frac{SA}{6} \)
Where, S.A = surface area of a cube, and s = side length.
Required:
Difference in side length between a cube with S.A of 180 m² and a cube with S.A of 120 m²
Solution:
Difference = (side length of cube with 180 m² S.A) - (side length of cube with 120 m² S.A)
\(s = (\sqrt{\frac{180}{6}}) - (\sqrt{\frac{120}{6}})\)
\( s = (\sqrt{30}) - (\sqrt{20}) \)
\( s = \sqrt{30} - \sqrt{4*5} \)
\( s = \sqrt{30} - 2\sqrt{5} m \)
A terminating decimal, suchas 0.75, has an exact numberof nonzero digits. Which of the following fractions cannot be written as a terminating decimal
The solution is, 0.75 can be written as fraction = 3/4.
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
here, we have,
A terminating decimal, such as 0.75, has an exact number of nonzero digits.
so, it can be written as fraction
0.75
=75/100
=3/4
Hence, The solution is, 0.75 can be written as fraction = 3/4.
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Given the function, calculate the following values:
Answer:
Step-by-step explanation:
3 1/3(2 1/5x-4 2/3) - 5 5/6=0, solve please
Based on the task content given; the solution to the equation for x 3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0 is 2 203/231
Simplification3 1/2(2 1/5x - 4 2/3) - 5 5/6 = 0
open parenthesis(3 1/2 × 2 1/5x) - (3 1/2 × 4 2/3) - 5 5/6 = 0
(7/2 × 11/5x) - (7/2 × 14/3) - 35/6 = 0
77/10x - 98/6 - 35/6 = 0
77/10x = 98/6 + 35/6
77/10x = 98+35 / 6
77/10x = 133/6
x = 133/6 ÷ 77/10
= 133/6 × 10/77
= 1330/462
x = 2 406/462
= 2 203/231
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Aman bought a computer for 24000 and its accessories pack worth for 1750. He sold it all for *26780. Find his gain and gain per cent.
Answer:
4%
Step-by-step explanation:
Gain percentage = 1030/25750 x 100 = 4%
Answer:
$1,030, 4%
Step-by-step explanation:
Aman spent $25,750 on a computer and accessory packs (totally worth it). He sold it for $26,780. So let's say Aman is at 0 before he bought this. He spent $25,750, so we subtract that from 0 to get -25,750. Then he sells it all for $26,780 (again totally worth it for the person buying). So we add 26,780 to the total.
-25,750 + 26,780 = 1,030
So Aman made a profit of $1,030 (now he can buy a REASONABLY priced MacBook Air or something)
So to find the percentage that he gained, we divide 1,030 by his original spending price, namely 25,750
1,030/25,750 = 0.04
Convert that to percentage form, you get 4%
Also, it's questions like this that make me question whether the people who write these questions into the textbooks should be talked to lol.
At Skyrocket Amusement Park, 30% of the rides are roller coasters. There are a total of
18 roller coasters. How many rides are there at Skyrocket Amusement Park in all?
Pick the model that represents the problem.
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
18
?
0%
10%
20%
30%
40%
50%
60%
70%
80%
90% 100%
0
?
18
How many rides are there at Skyrocket Amusement Park in all?
The surface area of a square pyramid is 189 square inches. The side length of the base is 7. What is the value of the height?
The value of the height of the prism is 8.68 inches
Surface of a square pyramidThe surface area is the sum of the area of the faces.
The formula for calculating the surface area of the pyramid is;
TSA = \(a^2+2a\sqrt{\frac{a^2}{4} + h^2}\)
where
a is the side length. = 7in
h is the height
Substitute
\(189=7^2+2(7)\sqrt{\frac{7^2}{2} + h^2} \\189=49+14\sqrt{\frac{49}{2} + h^2}\\140=14\sqrt{\frac{49}{2} + h^2}\\10=\sqrt{\frac{49}{2} + h^2}\\\)
Square both sides to have
100 = 49/2 + h²
h² = 100 - 49/2
h² = 151/2
h² = 75.5
h = 8.68in
Hence the value of the height of the prism is 8.68 inches
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Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
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A rhino can run at speeds of about 28 miles per hour. What is that speed in
feet per second, to the nearest whole number? (Remember, there are 5280
feet in a mile, 60 seconds in a minute, and 60 minutes in an hour.)
O A. 36 feet per second
O B. 88 feet per second
O c. 189 feet
per second
O D. 41 feet per second
SUBMIT
Answer:
Ryan you can run 189 feet per second that is your answer is a Natok
The ceiling in Clara’s basement is 2.75 meters high. When Clara jumps she is 18 centimeters short of being able to touch the ceiling. How high can Clara reach when she jumps?
Clara can reach a height of 2.57 meters when she jumps.
Given information:
The ceiling in Clara’s basement is 2.75 meters high.
When Clara jumps she is 18 centimeters short of being able to touch the ceiling.
We can start by converting the height of the ceiling and Clara's jump to the same units, either meters or centimeters. Let's convert Clara's jump to meters:
18 centimeters = 0.18 meters
Now we can subtract Clara's jump from the height of the ceiling to find how high she can reach:
2.75 meters - 0.18 meters = 2.57 meters
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A tent company has a tent design that is a triangular prism. The following is a net of the design. b C Note: Figure is not drawn to scale. If a = 67 inches, b= 68 inches, c = 42 inches, and d= 64 inches, how much fabric is needed to make the tent?
Answer:
Therefore, the tent company needs about 10752 square inches of fabric to make the tent.
Step-by-step explanation:
To find the surface area of the tent, we need to find the area of each face and add them together. Looking at the net provided, we see that the tent has 5 faces: two congruent triangles (ABD and CDE), two rectangles (ABCF and DEGH), and a parallelogram (BCDE).
Let's start with the triangles. To find the area of triangle ABD, we can use the formula for the area of a triangle:
Area of ABD = (1/2) * base * height
The base is the side AB, which has a length of c = 42 inches, and the height is a, which has length of 67 inches. So we have:
Area of ABD = (1/2) * 42 * 67 = 1407 square inches
Since triangle ABD is congruent to triangle CDE, they have the same area. Therefore, the total area contributed by the two triangles is:
2 * Area of ABD = 2 * 1407 = 2814 square inches
Next, let's find the area of the two rectangles. The rectangle ABCF has length b = 68 inches and height a = 67 inches, so its area is:
Area of ABCF = b * a = 68 * 67 = 4556 square inches
The rectangle DEGH has length d = 64 inches and height a = 67 inches, so its area is:
Area of DEGH = d * a = 64 * 67 = 4288 square inches
Finally, let's find the area of the parallelogram BCDE. To do this, we need to find the height of the parallelogram, which is the perpendicular distance between the base BC and the line DE. We can use the Pythagorean theorem to find this height:
h = sqrt(d^2 - b^2) = sqrt(64^2 - 68^2) ≈ 38.48 inches
Therefore, the area of the parallelogram is:
Area of BCDE = base * height = c * h = 42 * 38.48 ≈ 1613.76 square inches
Adding up the areas of all 5 faces, we get the total surface area of the tent:
Total surface area = 2 * Area of ABD + Area of ABCF + Area of DEGH + Area of BCDE
= 2 * 1407 + 4556 + 4288 + 1613.76 ≈ 10752 square inches
Therefore, the tent company needs about 10752 square inches of fabric to make the tent.
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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How do you know where to place the decimal in a quotient?
Answer:
Take note that the quotient's decimal point is precisely above the dividend's decimal point. To divide a decimal by a whole number, move the decimal point in the quotient above the decimal point in the dividend and divide as usual.
Step-by-step explanation:
It all depends on the divisor.
You need to make sure the decimal of the divisor is at the end.
For example, 2.09 divided by 0.19
You need to move the decimal point of 0.19 two times to the right so the decimal point is at the end.
If the divisor is a whole number, the decimal would stay at the same position.
For example, 25.5 divided by 5, the decimal would stay since 5's decimal point is already at the end (5.)
See attachment if you want to see it visual. Writing on computer is hard tho.
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
What is 1000% percent of 99.
Use the to the right the value of PT. T is the midpoint of PQ
PT=7x+5 and TQ=9x-9
By using the figure below, the value of line segment PT is equal to 54 units.
How to determine the midpoint of a line segment?In Mathematics, the midpoint of a line segment with two endpoints can be calculated by adding each point on a line segment together and then divide by two (2).
Since T is the midpoint of PQ, we have the following:
Line segment PT = Line segment TQ
7x + 5 = 9x - 9
9x - 7x = 9 + 5
2x = 14
x = 14/2
x = 7.
Now, we can determine the value of PT:
PT = 7x + 5
PT = 7(7) + 5
PT = 54 units.
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Complete Question:
Use the figure to the right to find the value of PT. T is the midpoint of PQ PT=7x+9 and TQ=9x-5
x + y = 5
3x - 2y + 5 = 0
solve by substitution method
Answer:
the answer is (1,4) or in equation form it is x=1, y=4
y = x² - 6x +9 discriminant
Answer:
discriminant equals zero
Step-by-step explanation:
b² - 4ac where a = 1, b = -6, and c = 9
(-6)² - 4(1)(9) = 36 - 36
# 5 pls !!
find dy/dx by implicit differentiation
Step-by-step explanation:
\(5. {x}^{3} - xy + {y}^{2} = 4\)
\( \frac{dy}{dx} ( {x}^{3} - xy + {y}^{2} ) = \frac{dy}{dx} (4)\)
\(3 {x}^{2} - x(1) \frac{dy}{dx} + 1(y) + 2y \frac{dy}{dx} \)
Combine the dy/dx.
\( \frac{dy}{dx} ( - x + 2y) + y + 3 {x}^{2} \)
\( \frac{dy}{dx} ( - x + 2y) = - 3 {x}^{2} - y\)
\( \frac{dy}{dx} = \frac{ - 3 {x}^{2} - y}{ - x + 2y} \)
\( \frac{3 {x}^{2} + y }{x - 2y} \)
Answer:
\(\frac{dy}{dx}\) = \(\frac{y-3x^2}{2y-x}\)
Step-by-step explanation:
using the product rule to differentiate - xy then
3x² - (x\(\frac{dy}{dx}\) + y(1) ) + 2y\(\frac{dy}{dx}\) = 0
3x² - x\(\frac{dy}{dx}\) - y + 2y\(\frac{dy}{dx}\) = 0
3x² + \(\frac{dy}{dx}\) (2y - x) - y = 0 (subtract 3x² - y from both sides )
\(\frac{dy}{dx}\) (2y - x) = y - 3x² ← divide both sides by (2y - x)
\(\frac{dy}{dx}\) = \(\frac{y-3x^2}{2y-x}\)
Let events A and B and sample space S be defined as the following intervals: S = {x : 0 ≤ x ≤ 10} A = {x : 0 < x < 5} B = {x : 3 ≤ x ≤ 7} Characterize the following events: (a) A C (b) A∩B (c) A∪B (d) A∩B C (e) A C ∪ B
The sample space of an event is the list of possible elements of the event.
The set elements are:
Ac = {x : 0, 5 ≤ x ≤ 10}A n B = {x : 3 ≤ x ≤ 4}A ∪ B = {x : 0 < x ≤ 7}A∩Bc = {x : 1 ≤ x ≤ 2} A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}How to determine the intervals of the subsetsThe given parameters are:
S = {x : 0 ≤ x ≤ 10}
A = {x : 0 < x < 5}
B = {x : 3 ≤ x ≤ 7}
(a) Ac
This represents the list of elements in the universal set not in set A.
So, we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
(b) A ∩ B
This represents the list of common elements in sets A and set B.
So, we have:
A n B = {x : 3 ≤ x ≤ 4}
(c) A ∪ B
This represents the list of all elements in sets A and set B, without repetition.
So, we have:
A ∪ B = {x : 0 < x ≤ 7}
d) A∩Bc
Given that:
B = {x : 3 ≤ x ≤ 7}
So, we start by calculating B^c i.e. the list of elements in the universal set not in set B.
So, we have:
Bc = {x : 1, 2, 8 ≤ x ≤ 10}
A∩Bc would then represent the list of common elements in sets A and set Bc
So, we have:
A∩Bc = {x : 1 ≤ x ≤ 2}
(e) A^c ∪ B
In (a), we have:
Ac = {x : 0, 5 ≤ x ≤ 10}
Given that:
B = {x : 3 ≤ x ≤ 7}
A^c ∪ B would then represent the list of all elements in sets Ac and set B
So, we have:
A^c ∪ B = {x : 0, 3 ≤ x ≤ 10}
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Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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Graph your salary and
A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.
How to write and graph an exponential function?In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:
\(f(x)=a(b)^x\)
Where:
a represents the initial value or y-intercept.x represents x-variable.b represents the rate of change or common ratio.Based on the information provided above, your salary can be modeled or represented by the following exponential function;
\(f(n)=37000(1.06)^n\)
Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.
In conclusion, the rate of change of this exponential function is equal to 1.06.
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The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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Find the probability distribution for the following function: P(x) = (x/2)+1 for x = 4, 6, and 8