The shape of the distribution for the given dot plot is as follows:
The data is skewed right, with fewer values on the right end of the graph. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
What does a dot plot show?A dot plot shows the number of times that each measure appears in the data-set.
In the context of this problem, we have that from the given dot plot, the measures are as follows:
62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89.
The mean is the sum of all observations divided by the number of observations, hence, applying it's formula, it is given by:
74.55.
The median is the middle value of the data-set, the value of which 50% of the measures are greater and 50% are less. The data-set in this problem has 20 elements, hence the median is the mean of the 10th and the 11th elements, which are 72 and 75, respectively, hence:
Median = (72 + 75)/2 = 73.5.
The median is less than the median, hence the distribution is skewed to the right, which means that the third option is correct.
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Answer:
The data is not symmetrically distributed, with most values clustered from 68 to 80 beats per minute. The values at 62 and 89 are possible outliers. The data fits within the average of 60 to 100 beats per minute.
Step-by-step explanation:
its not skewed right and this is the next one that makes sense
to make one cup of hot chocolate, 1 1/2 tablespoons of hot cocoa mix must be used. if a snack bar wants to make 70 cups of hot chocolate, how much mix will they need?
Given:
1 cup of hot chocolate = 1½ tablespoons of cocoa mix.
70 cups of hot chocolate = x tablespoons of cocoa mix.
Note that 1½ = 1.5
Let's find how much mix will they need below:
[tex]\begin{gathered} \frac{1}{1.5}=\frac{70}{x} \\ \text{Cross multiply} \\ x\text{ = 70 }\ast\text{ 1.5 } \\ \text{ = }105 \end{gathered}[/tex]Therefore the amount of hot cocoa mix they will need is 105 tablespoons
ANSWER:
105 tablespoons of hot cocoa mix
Solve for all values of x:
√8x + 1 = √2x + 5
Step-by-step explanation:
[tex] \sqrt{8} x - \sqrt{2} x = 4[/tex]
[tex]x( \sqrt{8} - \sqrt{2} ) = 4[/tex]
[tex]x = \frac{4}{ \sqrt{8} - \sqrt{2} } [/tex]
the second term could be positive or negative
therefore
x=2.83 or
=-2.83
which is the square root of 8 - and positive
help
i give 5 stars and 30 points
Answer:
Step-by-step explanation:
first u add them all up 949
1080-949=131 degrees for the first 1
second one is 36.5
tell me if the answers r wrong
Reflection across y=3
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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Each Saturday 8 workers mow the park
lawn. When all 8 workers are there, it takes
them 6 hours to complete the job. Last
Saturday three of the workers had the flu.
How many hours did it take the remaining workers
to complete the job?
A. 9 and %
B. 2 and 14
C. 12 and 18
D. 6 and 2
Which of the following can always be inscribed in a circle?A triangleA rhombusA trapezoidA pentagon
Answer: Triangle
Reason:
A circle that goes through all three vertices of a triangle is known as the circumcircle. Every triangle has such a circle, which is why we can inscribe a triangle inside a circle.
If x and y vary directly and y is 120 when x is 15, find y when x is 6.
Answer:
y = 90
Step-by-step explanation:
Given,
x and y vary directly
Also, when y = 120, x = 15
So,
x = 1, y = 120/15 = 8
Therefore, when x = 6, y = 90
Step-by-step explanation:
you can ask questions for clarification
PLEASE ANSWER FAST ! Function g is represented by the equation g(x)= log2 (x+3)-2.
Over which interval are both functions positive?
Answer: (1, 4)
Use a grapher
The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,6
10 and credited Bad Debt Expense for the same amount.
The thing that is wrong with the bookkeeper’s entry assuming Karlin uses the allowance method is that the company uses allowance method and thus the write-off entry would not be to bad debt account.
How yo illustrate the information?
It should be noted that because the business is using the allowance approach in this instance, the write-off entry would not be to the account for bad debts. To write off an account, a debit must be made to a separate account that is kept as an allowance for dubious accounts.
Since the receivables would not be collected, the accounts receivable account would be credited. In this case,the write off isn't appropriately illustrated in the account.
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The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,610 and credited Bad Debt Expense for the same amount.
Determine what was wrong with the bookkeeper’s entry assuming Karlin uses the allowance method.
Write the augmented matrix for the following system of equations.
x = 2y + 1
-4-5x + 8y + 2z = 0
-5 = -4y - z
The augmented matrix for the system of equations is [tex]\left[\begin{array}{ccc}\frac{6}{5} \\\frac{1}{10} \\\frac{23}{5} \end{array}\right][/tex]
What is matrix ?A matrix is a rectangular array or table where data is organized into rows and columns, and "matrixes" is the plural version of matrix. It doesn't matter how many columns and rows they have. Matrices can be used for a variety of operations, including addition, multiplication, transposition, and scalar multiplication. When executing these matrix operations, certain guidelines must be followed. For example, matrices can be added to or subtracted from if only their rows and columns are the same, whereas they can be multiplied if only their first and second sets of columns are exactly the same.
A =[tex]\left[\begin{array}{ccc}1&-2&0\\-5&8&2\\0&4&1\end{array}\right] \left[\begin{array}{ccc}X\\Y\\Z\end{array}\right] =\left[\begin{array}{ccc}1\\4\\5\end{array}\right][/tex]
Ax = B
multiply by [tex]A^{-1}[/tex] to both side
[tex]A^{-1}[/tex]Ax = [tex]A^{-1}[/tex]B
x = [tex]A^{-1}[/tex]B
[tex]\left[\begin{array}{ccc}0&\frac{-1}{5} &\frac{2}{5} \\\frac{-1}{2} &\frac{-1}{10} &\frac{1}{5} \\\ 2&\frac{2}{5} &\frac{2}{5} \end{array}\right][/tex]= [tex]A^{-1}[/tex]
X = [tex]\left[\begin{array}{ccc}0&\frac{-1}{5} &\frac{2}{5} \\\frac{-1}{2} &\frac{-1}{10} &\frac{1}{5} \\\ 2&\frac{2}{5} &\frac{2}{5} \end{array}\right][/tex][tex]\left[\begin{array}{ccc}1\\4\\5\end{array}\right][/tex]
X = [tex]\left[\begin{array}{ccc}\frac{6}{5} \\\frac{1}{10} \\\frac{23}{5} \end{array}\right][/tex]
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−46 times a number minus 19 is equal to 86 less than the number.
The solution of the equation −46x + 874 = 86 − x will be 17.51 which is that number.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
−46 times a number minus 19 is equal to 86 less than the number.
Let the number be x. Then the equation is given as,
−46(x − 19) = 86 − x
Simplify the equation, then we have
−46x + 874 = 86 − x
45x = 788
x = 788 / 45
x = 17.51
The solution of the equation −46x + 874 = 86 − x will be 17.51 which is that number.
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Explain why when multiplying powers you add rather than multiply the exponents.
It should be noted that when multiplying powers you add rather than multiply the exponents in order to give an accurate value as multiplication do powers means the addition of the powers.
How to illustrate the information?Exponentiation is a mathematical process that involves the base b and the exponent or power n. It is represented as bⁿ and is pronounced as "b to the n."
Algebra is the study of mathematical symbols, and logic is the manipulation of those symbols.
For example 3⁴ × 3² will be 3^6 rather than 3^8.
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What the area of the sphere if it's volume is 3x +1 cm³
Answer:
[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{v = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{area = \frac{dv}{dr} = 4\pi {r}^{2} }} \\ \\ { \tt{area = \frac{d(3x + 1)}{dx} }} \\ \\ { \tt{area = 3 \: {cm}^{2} }}[/tex]
Diego drew a scale drawing of the elementary school. The scale he used was 9 millimeters : 4 meters. In the drawing, the schoolyard is 324 millimeters long. What is the length of the actual schoolyard?
The length of the actual schoolyard given the scale is 144 meters
What is the length of the actual schoolyard?A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. The scale drawing is usually reduced at a constant dimension using a scale. A scale is the ratio of the dimensions of the scale drawing and the dimensions of the original image.
Length of the actual schoolyard = (length of the school yard x scale of the schoolyard) / scale of the drawing
(324 x 4) / 9 = 144 meters
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HURRY
TIME REMAINING
57:30
What are the solutions to –24x – 24 = x3 + 8x2?
Negative 1, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
1, 3 + i StartRoot 3 EndRoot, 3 minus i StartRoot 3 EndRoot.
2, 3 + i StartRoot 3 EndRoot, 3 minus i StartRoot 3 EndRoot.
Negative 2, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
Answer:
Negative 2, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
Step-by-step explanation:
So basically that whole last section you had your answer should look like this:
pleasee answer asap to be marked brainliest if correct answerd
Answer:
59.40
Step-by-step explanation:
PLEASE HELP ME SOLVE THIS PROBLEM
Answer
Explanation
We can approximate the distribution to the normal distribution.
As we know the mean of the sample and standard deviation of the population
The table represents a quadratic function. Write an equation of the function in standard form.
-9-7-5-3
0 8 8
X
y
y=0
Previous
1 2
0
30
4
32
5
6
7
10
Next
The quadratic equation is of the form y = ax² + bx + c
In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree just 2, or simply known as a quadratic.
x is the only variable. A parabola with its axis of symmetry parallel to the y-axis represents the graph of a univariate quadratic function, as seen to the right.A quadratic equation is produced if the quadratic function is set to zero. The roots of an univariate function are the solutions to the univariate equation.When authors speak to a quadratic polynomial, they may mean "having degree exactly 2" or "having degree at most 2". If the degree is less than 2, this scenario may be referred to as a "degenerate case." Which of the two is intended will typically depend on the context.In some circumstances, like in the instance of a second-order polynomial, the word "order" is used to denote "degree." The word "degree of a polynomial" refers to the highest degree of a non-zero term in a polynomial, whereas the term "order" typically refers to the lowest degree of a non-zero term in a power series.Complete question: The table represents a quadratic function. Write an equation of the function in standard form.
[tex]$$\begin{array}{lllll}x & -9 & -7 & -5 & -3\end{array}$$$\begin{array}{lllll}y & 0 & 8 & 8 & 0\end{array}$[/tex]
y=
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PLEASE HELP ME I was sick today and missed out on class and I don’t understand this question
Answer:
Step-by-step explanation:
Transversal or Corresponding angles
x=5
Answer:
a: alternate angle
Step-by-step explanation:
alternative relation
I just need to know the answer
Since the area of the solution is below the x-axis, and includes the line.
y ≤ 0
Solve each related rate problem.6) Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. Theradius of the spill increases at a rate of 4 m/min. How fast is the area of the spillincreasing when the radius is 7 m?A) 63 m²/min B) 54rt m®/min C) 5211 m²/min D) 560 m²/min7) A spherical balloon is inflated so that its radius increases at a rate of 2 cm/sec. How fast
6.
We know area of circle is
[tex]\pi r^2[/tex]Radius increases at a rate of 4.
So, we can write:
[tex]\frac{dr}{dt}=4[/tex]We want rate of change of area. Thus,
[tex]\begin{gathered} A=\pi r^2 \\ dA=2\pi\text{rdr} \\ \frac{dA}{dt}=2\pi r\frac{dr}{dt} \end{gathered}[/tex]We want dA/dt at r = 7, so substituting all that we know:
[tex]\begin{gathered} \frac{dA}{dt}=2\pi r\frac{dr}{dt} \\ \frac{dA}{\text{dt}}=2\pi(7)(4) \\ =56\pi \end{gathered}[/tex]The correct answer: 56*pi m^2/min
linear inequality: y>-2x-3
Answer:
The graph depicting inequality y > -2x - 3 is C
If EGF & EGH, EF = 6a, and EH = a + 55, what is the value of a?
Answer:
a=11
Step-by-step explanation:
If both triangles have two sides E and G the same then thethird side F and H must be equal
EF=EH
6a=55+a
5a=55
a=11
Shelia is playing a game with a 6-sided number cube. The number rolled determines the number spaces moved
Sheila's mapping diagram doesn't represent a function because it includes the points (3, 6) and (3, 6) and fails the vertical line test.
What is a mapping diagram?An illustration of two circles that depicts the relationship between input and output values is known as a mapping diagram. By drawing an arrow from one x-value to its corresponding y-value, the x-values (inputs) in the image are transferred to the y-values (outputs).
It does not represent a function because the same input value, 3, is mapped to more than one output value, 3 and 6. Her relation has the following ordered pairs: (1, 1), (2, 2), (3, 3), (3, 6), (4, 4), 5, 5), and (6, 6). Since both (3, 3) and (3, 6) have the same x-coordinate, the relation fails the vertical line test and is not a function.
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Sheila is playing a game with a 6-sided number cube. The number rolled determines the number of spaces moved. However, if a 3 is rolled, the player can choose to move 3 or 6 spaces. This mapping diagram shows the inputs and outputs for Sheila's game.
Does Sheila's mapping diagram represent a function? Why or why not?
I need help with number 4 mostly
Answer:
815/99 (fraction); 8 23/99 (mixed number)
Step-by-step explanation:
the fraction for 0.23 repeating is 23/99
you add 8 in front of it
8 23/99 is the mixed number version
for the fraction version you must multiply 99 to 8 and then add it to 23
8 * 99 = 792
792 + 23 = 815
so
the fraction is 815/99
Hello! I need a little bit of help with this question please! (This is not from an active test, it is from a book I am using to study for my ASVAB.)
We have that the following two points lie on the line:
• (-2, 0) and (4, 6)
And we need to find the equation of the line that passes through both points.
To find the equation of the line, we can proceed as follows:
1. Apply the two-point equation of the line, which is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]2. We have to label both points as follows:
• (-2, 0) ---> x1 = -2, y1 = 0
• (4, 6) ---> x2 = 4, y2 = 6
3. Now, we can substitute the corresponding points into the two-point equation of the line:
[tex]\begin{gathered} y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{6-0}{4-(-2)}(x-(-2)) \\ \\ y=\frac{6}{4+2}(x+2) \\ \\ y=\frac{6}{6}(x+2) \\ \\ y=x+2 \end{gathered}[/tex]Therefore, we have that the slope of the line is m = 1, and the equation of the line is y = x + 2.
Therefore, in summary, the equation of the line is y = x + 2 (Option D).
Write the equation that is parallel to 2x+y =4 going through the point (-1,3)
Answer:
2x +y = 1
Step-by-step explanation:
You want the equation of a line parallel to 2x+y=4 through point (-1, 3).
Parallel lineA parallel line will have the same slope, which is a function of the ratio of the x- and y-coefficients. Hence, the equation of the parallel line can use the same coefficients. It will have a constant suitable for the given point.
given: 2x +y = 4
parallel: 2x +y = c
through point (-1, 3): 2x +y = 2(-1) +(3) = 1
The equation of the parallel line is 2x+y = 1.
5x-4=-3x+12
What is the answer
The answer is x = 2
I have attached a picture with the work
Express the product of Prime factor of 17325
Answer: 3 x 3 x 5 x 5 x 7 x 11.
Step-by-step explanation:
Prime Factors of 17325 are 3, 5, 7, 11, and usually expressed as 3 x 3 x 5 x 5 x 7 x 11.
A total of 432 chairs was arranged into 18 rows. Later, one more chair was added to each row. Which expression shows the number of chairs in each row after the addition of one more chair.