Answer:
The median is 6
Step-by-step explanation:
First put the numbers in order: 3,4,4,4,5,7,7,8,9,12
Here, the 5th & 6th terms are 5 &7
So, median = 5+7/2
=12/2
=6
Answer:
6
Step-by-step explanation:
For funding out the median firstly we need to arrange the data in ascending or descending order . Here on arranging the given data in ascending order we have ,
3,4,4,4,5,7,7,8,9,12The median is the middle most observation , in case of odd nos . And the mean of two middlemost observations in case of even nos . Here the number of data is even , and the two middlemost observations are 5 and 7 , so ,
=> Median = x₁ + x₂ / 2
=> Median = 5 + 7/2
=> Median = 12/2
=> Median = 6
Hence the median of the given data is 6 .alguien me podria ayudar?, por favor
The endpoints of WX are W(-5,-1) and X(2,6).
What is the length of WX?
A. 7
B. 14
C. 4√2
D. 7/2
Jasmine spent 2 2 over 3 hours at the park. Kyle spent 1 1 over 3 hours at the same park. How much longer, in hours, did Jasmine spend at the park than Kyle?
If y=2x-4 what is m and b using y=mx+b form?
Answer:
m➡ 2
b➡-4
Step-by-step explanation:
y=mx+b
m-slope
b-y-intercept
I need help with this question?
Answer:
Not sure but try
Step-by-step explanation:
1, 6 < 2x
2, c = b2
3, a + g / 5
4, (c^4)7u
5, y > 4(9)
6, e < 10 + p
When the product of 2 and 3 is subtracted from the sum
of 4 and 5, what is the difference?
Answer:
3
Step-by-step explanation:
product of 2 and 3 is 2x3 = 6
sum of 4 and 5 is 9
product of 2 and 3 is subtracted from the sum of 4 and 5 means
9 - 6 = 3
11. A submarine at the surface of the ocean makes an emergency dive, its path making an angle of 21° with the surface. If it goes for
300 meters along its downward path, how deep will it be? What horizontal distance is it from its starting point?
Answer to part 1
Answer part 2.
Use Trig to find this
The submarine will be 150 m deep.
What is trigonometry ratios?The trigonometric functions in mathematics are real functions that link the angle of a right-angled triangle to the ratios of the lengths of the two sides. All geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more, utilise them extensively.
The six trigonometric ratios are the sine, cosine, tangent, cotangent, cosecant, and secant (sec). Let's make some assumptions in light of the figure that is attached below.
the submarine's depth from the ocean's surface, where x = BC
BAC = 30° is the angle formed by the path traveled by the submarine and the ocean's surface.
The submarine traveled 300 meters along its downward journey, hence AC = 300 m.
Now, in ∆ ABC, by applying the trigonometry ratios of a triangle, we get
sin θ = perpendicular/hypotenuse = BC/AC
⇒ sin 30° = x/AC
⇒ sin 30° = x/300
⇒ x = 300 * sin 30°
⇒ x = 300 * ½
⇒ x= 150 m
Thus, the submarine will be 150 m deep.
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LOOK AT PICTURE, WHOEVER HAS CORRECT ANSWER, I WILL MARK BRAINIEST :)
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
An extremely simple (and surely unreliable) weather prediction model would be one where days are of two types: sunny or rainy. A sunny day is 90% likely to be followed by another sunny day, and a rainy day is 50% likely to be followed by another rainy day. Model this as a Markov chain. If Sunday is sunny, what is the probability that Tuesday (two days later) is also sunny
Answer:
The probability that if Sunday is sunny, then Tuesday is also sunny is 0.86.
Step-by-step explanation:
Let us denote the events as follows:
Event 1: a sunny day
Event 2: a rainy day
From the provided data we know that the transition probability matrix is:
\(\left\begin{array}{ccc}1&\ \ \ \ 2\end{array}\right\)
\(\text{P}=\left\begin{array}{c}1&2\end{array}\right\) \(\left[\begin{array}{cc}0.90&0.10\\0.50&0.50\end{array}\right]\)
In this case we need to compute that if Sunday is sunny, what is the probability that Tuesday is also sunny.
This implies that we need to compute the value of P₁₁².
Compute the value of P² as follows:
\(P^{2}=P\cdot P\)
\(=\left[\begin{array}{cc}0.90&0.10\\0.50&0.50\end{array}\right]\cdot \left[\begin{array}{cc}0.90&0.10\\0.50&0.50\end{array}\right]\\\\=\left[\begin{array}{cc}0.86&0.14\\0.70&0.30\end{array}\right]\)
The value of P₁₁² is 0.86.
Thus, the probability that if Sunday is sunny, then Tuesday is also sunny is 0.86.
Find the critical value z Subscript alpha/2 that corresponds to the given confidence level. 99?% z Subscript alpha/2 = nothing?
Answer:
2.576
Step-by-step explanation:
Given :
Confidence level (α) = 99%
Z(1 - α)/2 = Z(1 - 99%)/2
Z1%/2 = Z1%/ 2
Z0.5% = Z0.005
Z(0.99 + 0.005) = Z0.995
Using the Z distribution table ; locate the z value for the proportion 0.995 ; this corresponds to approximately 2.57
Similarly, using the Invnorm calculator function :
Invnorm(0.995) gives a Zscore of :
2.576
I need help with this one.
9514 1404 393
Answer:
1,563.5 in³904.8 yd³2,144.7 mm³1,288.2 cm³434.9 in³Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.
Example calculation:
(4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm
V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³
Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.
The difference between two whole numbers is 8. Twice the smaller number is 4 more than the larger number.
What is the smaller number?
Enter your answer in the box.
smaller number =
Step-by-step explanation:
the numbers : x, y
x - y = 8
2y = x + 4
2y - 4 = x
we use the last equation in the first :
2y - 4 - y = 8
y - 4 = 8
y = 12
x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20
the smaller number is 12.
The value of the smaller number will be 12.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The difference between two whole numbers is 8.
And, Twice the smaller number is 4 more than the larger number.
Now,
Let two numbers are x and y.
Where, x is larger number and y is smaller number.
Since, The difference between two whole numbers is 8.
Hence, We get;
⇒ x - y = 8
⇒ x = 8 + y ..(i)
And, Twice the smaller number is 4 more than the larger number.
So, We get;
⇒ 2y = 4 + x ..(ii)
Substitute the value of x from (i) in above equation, we get;
⇒ 2y = 4 + 8 + y
Solve for y as;
⇒ 2y - y = 12
⇒ y = 12
Thus, The value of the smaller number will be 12.
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Using the information in the Box-and-Whisker plot shown, below what value is three quarters of the data?
A. 7
B. 10
C. 12
D. 17
Answer:
Step-by-step explanation:
A
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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The integer 5 makes which of the following equations false?
A: 3m + 4 = 6m
B: −5(t − 7) = 10
C: 17 = 4x − 3
D: t + 9 = 14
Answer:
a) 3m + 4 = 6m is false.
Step-by-step explanation:
A) 3m + 4 = 6m
→ 3(6) + 4 = 6(5)
→ 18 + 4 = 30
→ [ 22 ≠ 30 ]
So, the equation is false.
B) -5(t - 7) = 10
→ -5(5 - 7) = 10
→ -5 × -2 = 10
→ [ 10 = 10 ]
So, the equation is true.
C) 17 = 4x - 3
→ 17 = 4(5) - 3
→ 17 = 20 - 3
→ [ 17 = 17 ]
So, the equation is true.
D) t + 9 = 14
→ 5 + 9 = 14
→ [ 14 = 14 ]
So, the equation is true.
x divided by 4=.25 what is X
Answer:
1
Step-by-step explanation:
\(0.25\times4=1\)
\(1\div 4 = 0.25\)
\(=1\)
Hope this helps.
Complete the equation to show how to use the distributive property to express the sum of 30 + 45
with a greatest common factor
30 + 45 = ____ ( ____ + ____ )
Answers
15(2 + 3)
5(6 + 9)
75
1,350
Two angles are supplementary is the measure of one angle is 65.3 degrees what is the measure of the
other angle? Answer to the first decimal place, ie 79.5
The measure of the other angle is 114.7.
Given that the angles are supplementary,
Let the other angle be 'x'.
x + 65.3 = 180 degree
x = 114.7
hence, The other angle is 114.7 degrees.
The term "supplementary angles" refers to a pair of angles that always add up to 180°. These two perspectives are known as supplements. The term "supplementary" is derived from the Latin words "supply" and "plere," where "supply" means "supply" and "plere" means "fill." As a result, "supplementary" means "something that is supplied to complete a thing."
If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees). In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.
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Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay:
The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
Let y represent the gross pay for x total sales.
Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:
y = 1760 + 12% of x
y = 0.12x + 1760
Donald's sales were $90,800 for last month. Hence:
a) Commission = 0.12 * $90800 = $10896
b) Gross pay:
y = 10896 + 1760 = $12656
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PLS ANSWER FAST
y = 2x
6x - 2y = 8
The solution to the system of equations is x = 4 and y = 8. The lines represented by the equations y = 2x and 6x - 2y = 8 Intersect at the point (4, 8).
To analyze the given equations:
Equation 1: y = 2x
Equation 2: 6x - 2y = 8
We can begin by examining Equation 1, which is in slope-intercept form (y = mx + b). In this equation, the coefficient of x is 2, representing the slope of the line. Therefore, the line described by Equation 1 has a slope of 2.
Now, let's move on to Equation 2. It can be rewritten by rearranging the terms:
6x - 2y = 8
-2y = -6x + 8
Dividing by -2 on both sides:
y = 3x - 4
By comparing Equation 2 with the slope-intercept form (y = mx + b), we can see that its slope is 3.
Comparing the slopes of the two equations, we observe that they are not equal. Since the slopes are different, the lines represented by the equations y = 2x and y = 3x - 4 are not parallel.
To determine if they intersect, we can equate the right-hand sides of the two equations:
2x = 3x - 4
By rearranging terms, we get:
x = 4
Substituting x = 4 back into Equation 1:
y = 2(4)
y = 8
Therefore, the solution to the system of equations is x = 4 and y = 8. The lines represented by the equations y = 2x and 6x - 2y = 8 intersect at the point (4, 8).
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Given: 2q – r = 4p, 2r = q, r = 2p; Prove: q = r
Answer:
q = r
Step-by-step explanation:
Explanation:-
Given 2q – r = 4p ...(i)
2r = q...(ii)
r = 2p ...(iii)
Substitute 2r = q in equation (i)
2(2r) – r = 4p
3 r = 4 p
2 r + r = 4 p
2 r + 2 p = 4 p
2 r = 2 p
q = r
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
Factor the quadratic expression completely.
-7x^2-24x-9
Answer:
(7x+3)(-x-3)
Step-by-step explanation:
-7x²-24x-9 would be the same thing as (7x+3)(-x-3) because 7x*-x=-7x², +3*-3=-9, and 7x*-3 - 3x = -24x
Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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What would be 82% of 50
Answer:
82% of 50 is 41
Step-by-step explanation:
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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If 86
is added to a number, the result is 44
less than three times the number. Find the number.
Answer:
x = 65
Step-by-step explanation:
let the number be 'x'.
If 86 is added to a number, the result is 44 less than three times the number. Therefore the equation will be,
=> 86 + x = 3x - 44
Rearranging,
=> x - 3x = -44 - 86
=> -2x = -130
=> x = 130/2
=> x = 65
Matthew's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Answer:
3/8 of the total distance.
Step-by-step explanation:
After Saturday = 8/8 - 3/8 = 5/8 of distance left.
Sunday = 5/8 x 3/5 = 3/8 distance.
Hope this helps!
Please help I am struggling bad with this question thank you all
b = speed of the boat in still water
c = speed of the current
when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.
Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)