Answer:
Option 4 (3)
Step-by-step explanation:
The first step involved in calculating the median it to list the observations in the ascending order. This gives:
12 15 33 45 46 51 52 57.
The second step is to identify the middle number (in case the observations are in odd numbers) or numbers (in case the observations are in even numbers) after the ascending order step has been done. It can be observed that the middle numbers in this data set are 45 and 46. Since there are two numbers, so their average will be the median of this data set. Therefore, the median is 45.5.
It can be observed that that there are 2 outliers in the data set: 12 and 15. Once removed, the data set will be:
33 45 46 51 52 57.
The middle numbers are 46 and 51 and the mean of the two middle numbers is 48.5.
Therefore, the difference between the median of the data, including the possible outliers and excluding the possible outliers is given by 48.5 - 45.5 = 3. Therefore, Option 4 is the correct answer!!!
What is the surface area of the right cone below? Help ASAP please
Answer:
176
Step-by-step explanation:
What is the product of -5x2y4 and -8x6y4?
Answer:
40 x⁸y⁸
Step-by-step explanation:
When multiplying numbers that have powers to the same base, we simply add the indices and multiply the coefficients of the common bases.
To solve -5x²y⁴ multiplied by -8x⁶y⁴, we add the indices that have a common base.
-5x²y⁴× -8x⁶y⁴= (-5)(-8)x⁽²⁺⁶⁾y⁽⁴⁺⁴⁾
=40x⁸y⁸
A negative number multiplied by a negative= positive number
Answer:
product of 5x²y⁴ and -8x⁶y⁴ = 40x⁸y⁸
Step-by-step explanation:
Points to remember
Identities
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
Xᵃ/Xᵇ = X⁽ᵃ ⁻ ᵇ⁾
It is given that, -5x²y⁴ and -8x⁶y⁴
To find the product of -5x²y⁴ and -8x⁶y⁴
( -5x²y⁴ ) * ( -8x⁶y⁴) = (-5 * -8) *x² *x⁶ * y⁴ * y⁴
= 40 * x⁽² ⁺ ⁶⁾ * y⁽⁴ ⁺ ⁴⁾
= 40 * x⁸ * y⁸
= 40x⁸y⁸
4x – 3y = 17
y-intercept:
2-intercept:
Answer:
y-intercept = -17/3x-intercept = 17/4Step-by-step explanation:
4x - 3y = 17
y-intercept is for x = 0.
x-intercept is for y = 0.
y-intercept:
put x = 0 to the equation
4(0) - 3y = 17
0 - 3y = 17
-3y = 17 divide both sides by (-3)
y = - 17/3
x-intercept:
put y = 0 to the equation
4x - 3(0) = 17
4x - 0 = 17
4x = 17 divide both sides by 4
x = 17/4
If f(x) = 2x^2 + 4, find f(3)
Answer:
f(3)=2(3)^2+4
f(3)=2(9)+4
f(3)=18+4
f(3)=22
Step-by-step explanation:
In this scenario, x=3 so you plug it into the other side of the equation.
ANSWER
[tex]f(3) = 22[/tex]
EXPLANATION
The given given function is
[tex]f(x) = 2 {x}^{2} + 4[/tex]
To find f(3), we substitite x=3 into the function f(x).
This means that wherever we see x in
[tex]f(x) = 2 {x}^{2} + 4[/tex]
we replace it with 3 .
[tex] \implies \: f(3) = 2 ({3})^{2} + 4[/tex]
We evaluate the square to get:
[tex] \implies \: f(3) = 2 ({9}) + 4[/tex]
Perform the multiplication
[tex] \implies \: f(3) = 18 + 4[/tex]
Now add to get:
[tex] \implies \: f(3) = 2 2[/tex]
Factor.
x2−5x+6
Enter your answer in the boxes.
x2−5x+6= ( ) ( )
Answer:
Step-by-step explanation:
(x-3)(x-2)
Answer:
(x-3) (x-2)
Did the test on k-12
Translate each sentence into an equation. Then find each number.
The difference between four times a number and six is –46.
Question 1 options:
Answer:
Equation: 4x - 6 = -46
Solution: x=10.
Step-by-step explanation:
The difference between four times a number and six translated into a equation is: 4x - 6 = -46.
Solving for 'x'we have:
4x = -46 + 6 ⇒ 4x = -40 ⇒ x = 10.
Then, the solution is: x=10
Answer:
4x - 6 = -46
x = -10
Step-by-step explanation:
We are given the following sentence equation into a mathematical equation and then solve it to find each number:
The difference between four times a number and six is –46.
Translating it in chunks to make it easier:
1) The difference between ---> means there is a subtraction sign
2) four times a number ---> assuming x to be the number ---> 4x
3) and six ---> 6
4) is -46 ---> = -46
Combining these to get:
[tex]4x - 6 = -46[/tex]
[tex]4x = -46 + 6[/tex]
[tex]4x = -40[/tex]
[tex]x=\frac{-40}{4}[/tex]
x = -10
Consider the triangle.
Which statement is true about the lengths of the sides?
Each side has a different length.
Two sides have the same length, which is less than the
length of the third side.
The three sides have the same length
The sum of the lengths of two sides is equal to the
length of the third side.
For this case we observe that the three angles of the triangle are equal. Also, we have by definition:
A triangle is equilateral, when the three sides have the same length (in addition, the three internal angles measure 60 degrees or[tex]\frac {\pi} {3}[/tex].
Answer:
The three sides have the same length
ANSWER
The three sides have the same length
EXPLANATION
The given triangle has all angles equal to 60°
A triangle that has all angles equal is called an equilateral triangle.
Another property about an equilateral triangle is that, it has all sides equal.
Therefore,the three sides have the same length.
The third option is correct.
solve and answer in simplified form
(-8.3x+4) - (3.2x-5)
Answer:
(-8.3x + 4) - (3.2x - 5) = -11.5x + 9Step-by-step explanation:
(-8.3x + 4) - (3.2x - 5)
= -8.3x + 4 - 3.2x - (-5)
= -8.3x + 4 - 3.2x + 5 combine like terms
= (-8.3x - 3.2x) + (4 + 5)
= -11.5x + 9
Solve #13, Solve for X, please show work!
Step-by-step explanation:
all work is pictured and shown
If the endpoints of the diameter of a circle are (8, 6) and (2,0), what is the standard form equation of the circle?
A)
(x + 5)2 + (y + 3)2 = 18
(x + 5)2 + (y + 3)2 = 3.72
(x - 5)2 + (y - 3)2 = 18
D)
(x - 5)2 + (y - 3)2 = 32
Answer:
It is C.
Step-by-step explanation:
The centre of the circle is at the midpoint of The diameter = (8+2)/2, (6+0)/2 = (5,3) so the left side of the equation is (x-5)^2+(Y-3)^2. Now we need to work out the radius:
The diameter = square root(8-2)^2+6^2) = square root of 72 = 6sqrt2.
So the radius = 3sqrt2 and r^2=18.
A grocer takes delivery of beverages from your truck at $6 per case. You unloaded 53 cases for the grocer today. How much does the grocer owe you?
Answer:
Answer:
$6 *53 = $318
Step-by-step explanation:
Answer: $318
Step-by-step explanation:
Given : A grocer takes delivery of beverages from your truck at $6 per case.
If you unloaded 53 cases for the grocer today.
Then the amount of money the grocer owes you will be the product of 53 and 6 .
Thus, the amount of money the grocer owes you= [tex]53\times6=\$318[/tex]
Hence, the grocer owes you $318 .
What is the probability of the drawing a blue card, replacing it, and then drawing a blue card?
3/5
6/25
9/25
The probability of drawing a blue card, replacing it, and then drawing a blue card is Option 3. 9/25
Number of blue cards = 3
Number of red cards =2
Total number of cards as given in the diagram = 2+ 3 = 5
How do you calculate probability?The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The probability of drawing a blue card is 3/5 because there are 3 blue cards and 5 cards in total. Multiply 3/5 by 3/5 to get the probability of drawing a blue card twice in a row. Multiply the numerators to get 9 and multiply the denominators to get 25.
This gives you a final answer of 9/25.
What is probability in math?Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
What is the simple formula of probability?P(A) = n(A)/n(S)
P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.
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Solve for x and y
Both questions please ❤️
Answer:
1. [tex]x=18, y=6\sqrt{10}[/tex]
2. x=108, y=180
Step-by-step explanation:
The height of the right triangle drawn to the hypotenuse is the geometric mean of two segments of the hypotenuse (two legs' projections)
1. Use this property, so
[tex]CD^2=AD\cdot BD\\ \\6^2=2\cdot x\\ \\36=2x\\ \\x=18[/tex]
Consider right triangle BCD. By the Pythagorean theorem,
[tex]BC^2=BD^2+CD^2\\ \\y^2=18^2+6^2\\ \\y^2=324+36\\ \\y^2=360\\ \\y=\sqrt{360}=6\sqrt{10}[/tex]
2. Consider right triangleGM*. By the Pythagorean theorem,
[tex]G*^2=GM^2+M*^2\\ \\240^2=GM^2+192^2\\ \\GM^2=240^2-192^2=(240-192)(240+192)=48\cdot 432=144^2\\ \\GM=144[/tex]
Use this property to find x:
[tex]GM^2=192\cdot x\\ \\144^2=192\cdot x\\ \\x=\dfrac{144^2}{192}=108[/tex]
Consider right triangle GMCup. By the Pythagorean theorem,
[tex]y^2=x^2+GM^2\\ \\y^2=108^2+144^2\\ \\y^2=32,400\\ \\y=180[/tex]
23. What is the angle of rotation of the following figure?
45
180
60
90
Answer:
i think it is 60 because
Step-by-step explanation:
the angle 45 would make a perfect right angle ever two pedals and these look like they make a perfect 120
If the area under the curve of f(x) = x2 + 2 from x = 1 to x = 6 is estimated using five approximating rectangles and right endpoints, will the estimate be an underestimate or overestimate?
Underestimate
Overestimate
The area will be exact
The area cannot be estimated with just five rectangles
Answer:
Overestimate
Step-by-step explanation:
We draw five rectangles from x = 1 to x = 6, so each rectangle has a width of 1:
(6 - 1) / 5 = 1
We're using right endpoints to determine the height of each rectangle. The first rectangle is from x=1 to x=2, so the height of the rectangle is f(2) = 6. So on and so forth for the other rectangles.
The result is this:
desmos.com/calculator/vrl67vpigt
As we can see, these rectangles have areas outside of the curve, so their total area will be greater than the area under the curve. So this will be an overestimate.
Simplify completely quantity 4 x plus 16 over 6
Answer: [tex]\frac{2(x+4)}{3}[/tex]
Step-by-step explanation:
Given the following expression:
[tex]\frac{4x+16}{6}[/tex]
You can notice that the Greatest Common Factor (GCF) in the denominator is 2, then you can factor it out.
Now, observe that the Greatest Common Factor in the numerator is 4, so you can factor it out.
Therefore, you get
[tex]=\frac{4(x+4)}{2(3)}[/tex]
And finally, since [tex]\frac{4}{2}=2[/tex], you get the expression simplified. This is:
[tex]=\frac{2(x+4)}{3}[/tex]
classify the triangle by its sides
a(3,-3), b(1,4), c(-1,-1)
Answer:
The triangle is scalene Δ
Step-by-step explanation:
* Lets revise the types of the triangle according to its sides
- Equilateral triangle: its three sides are equal in lengths
- Isosceles triangle: two sides are equal in lengths
- Scalene triangle: its three sides have different lengths
- The length of a segment basses through two points (x1 , y1) and
(x2 , y2) is √[(x2 - x1)² + (y2 - y1)²]
* Lets solve the problem
∵ abc is a triangle with vertices a (3 , -3) , b (1 , 4) , c (-1 , -1)
- To classify the triangle by its side find the lengths of the 3 sides
∵ a = (3 , -3) and b = (1 , 4)
∴ ab = √[(1 - 3)² + (4 - -3)²] = √[(-2)² + (7)²] = √[4 + 49] = √53
∵ b = (1 , 4) and c = (-1 , -1)
∴ bc = √[(-1 - 1)² + (-1 - 4)²] = √[(-2)² + (-5)²] = √[4 + 25] = √29
∵ c = (-1 , -1) , a = (3 , -3)
∴ ca = √[(3 - -1)² + (-3 - -1)²] = √[(4)² + (-2)²] = √[16 + 4] = √20
∵ The lengths of the three sides of the triangle are √53 , √29 , √20
∴ The lengths of the three sides are different
∴ The triangle is scalene Δ
HELP PLEASE!! VERY APPRECIATED
•In the triangle below what is the tangent of 30°?
Answer: D
Step-by-step explanation:
Tangent is...
other leg/ adjacent leg
Answer:
The correct answer is D. 1/√3
Step-by-step explanation:
The ratio of the opposite side and the adjacent side to the given angle is the tangent.
According to the image below formula is:
tangent(α)=a/b
a= oppositive side: the side in front of the given angle.
b= adjacent side: the side next to the given angle.
α= the given angle.
According to the image, the value of “a” is 1 and there is √3 for “b”.
So, the correct answer is D. 1/√3
Mary has rehearsed her ballot solo for 5 and 1/2 hours a week from now she wants to have rehearse at least a total of 19 and 1/2 hours if she rehearses for the same amount of time each day for the next 7 days at least how many hours must you rehearse per day
This answer Has been deleted
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. g + h -10
2. g - h -4
3. h - g -21
4. gh 2
5. g + h2 10
6. g2 - h 46
Answer: -14, -14 ,-11, -42,
Step-by-step explanation:
1. g + h - 10 2. g - h - 4 3. h - g - 21
-7 + 3 -10. -7 -3 -4. 3 + 7 -21
-4 - 10. -10 - 4 10 - 21
-14. -14. - 11
4. gh 2
-7(3) 2
-21 (2)
-42
Please someone help
Answer:
The answer is 7/3 or 2 1/3
Step-by-step explanation:
1) You change the ÷ into x (so it will be 7/9 x 1/3)
2) You flip the 1/3 so it will be 3 ( 7/9 x 3)
3) There you have it the answer is 7/3
Which of the following is the most important piece of information to consider when comparing prices?
A)
The average price of the two items you are comparing
B)
The wholesale price of the item you want to buy.
C)
The amount of income you have
D)
The price per unit of the items you are comparing.
Answer: A) The average price of the two items you are comparing.
Step-by-step explanation:
Because...
When a person goes to a store they look at a item and then compare prices. So for every person price is the important thing that you are comparing. It also depends on your income as well. So choice A and C is almost the same.
Therefor, the correct answer would be A.
* Hopefully this helps:) Mark me the brainliest:)!!!
Solve for x
6(x-1) =9(x+2)
Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)
Answer:
Step-by-step explanation:
For this case we have by definition, if two lines are perpendicular then the product of their slopes is -1.
[tex]m_ {1} * m_ {2} = - 1[/tex]
We have the following equation:
[tex]28x-7y = 9[/tex]
Rewriting we have:
[tex]28x-9 = 7y\\y = \frac {28x-9} {7}\\y = 4x- \frac {9} {7}[/tex]
The slope of this line is 4.
We found [tex]m_ {2}:[/tex]
[tex]m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {4} = - \frac {1} {4}[/tex]
The new line is of the form:
[tex]y = - \frac {1} {4} x + b[/tex]
We substitute the given point to find the cut point "b":
[tex]1 = - \frac {1} {4} (4) + b\\1 = -1 + b\\b = 2[/tex]
Finally, the equation is:
[tex]y = - \frac {1} {4} x + 2[/tex]
Answer:
[tex]y = - \frac {1} {4} x + 2[/tex]
zzzxxzzzzzxzxxxxxxxxxxxx
Answer:
for the first question the answer is dc
Step-by-step explanation:
When Emilio was at the park today, he saw four kites. This is two less than 3 times the number of kites he saw yesterday. Let y equal the number of kites Emilio saw yesterday.
A. 3y - 2 = 4
B. 2 - 3y = 4
C. 2y - 3 = 4
D. 4 - 2 = 3y
Answer: the correct answer is a
The correct equation is "3y - 2 = 4," and the value of "y" (the number of kites Emilio saw yesterday) is 2.
The correct answer is option A.
In this problem, we need to translate the given information into a mathematical equation and then solve for the variable "y," which represents the number of kites Emilio saw yesterday.
We are told that Emilio saw four kites at the park today, and this is two less than three times the number of kites he saw yesterday. In mathematical terms, this can be expressed as:
3y - 2 = 4
Here's the breakdown:
"3y" represents three times the number of kites he saw yesterday.
"3y - 2" represents two less than three times the number of kites he saw yesterday.
"4" represents the number of kites he saw today.
So, option A, "3y - 2 = 4," correctly represents the relationship described in the problem.
To solve for "y," you can isolate the variable by adding 2 to both sides of the equation:
3y - 2 + 2 = 4 + 2
3y = 6
Now, divide both sides by 3 to solve for "y":
(3y)/3 = 6/3
y = 2
In summary, the correct equation to represent the problem is option A, and the value of "y" is indeed 2, as Emilio saw two kites yesterday.
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Simplify 6(x + y) + (x - y).
6x
7x
7x + 6y
7x + 5y
Answer:
7x + 5y
Step-by-step explanation:
6x + 6y + x - y = 7x + 5y
Answer:
The answer would be the last one, or 7x + 5y
Step-by-step explanation:
Distribute the 6: 6x+6y + x - y
Simplifying gives:
7x + 5y
Hope this helps!
Which of the following could represent consecutive even Integers?
x + 1, x + 2
Ox+1,x+3
2x, 2x + 1
Answer:
x+1,x+3
Step-by-step explanation:
Lets look at consecutive even integers
2,4
How do we get from 2 to 4
We add 2
Our first even integer is x
We add 2
x+2
x, x+2
Buts lets say x is an odd number, so add 1 to it
x+1, x+1 +2
x+1, x+3
A plane can fly 260 miles downwind in the same amount of time as it can travel 190 miles upwind. Find the velocity of the wind if the plane can fly 225 mph in still air.
recall your d = rt, distance = rate * time.
w = rate of the wind
225 = rate of the plane
so the plane flies 260 miles in say "t" hours, with the wind, now, the plane is not really going 225 mph fast, is really going "225 + w" fast because the wind is adding speed to it, likewise, when going against the wind, is not going 225 mph fast is going "225 - w" because the wind is eroding speed from it, and that was also covered in "t" hours
[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \stackrel{downwind}{\textit{with the wind}}&260&225+w&t\\ \stackrel{\textit{upwind}}{\textit{against the wind}}&190&225-w&t \end{array}~\hfill \begin{cases} 260=(225+w)t\\\\ \cfrac{260}{225+w}=\boxed{t}\\\\ \cline{1-1}\\ 190=(225-w)t \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{\textit{substituting \underline{t} in the 2nd equation}}{190=(225-w)\left( \boxed{\cfrac{260}{225+w}} \right)}\implies \cfrac{190}{225-w}=\cfrac{260}{225+w} \\\\\\ 42750+190w=58500-260w\implies 190w=15750-260w \\\\\\ 450w=15750\implies w=\cfrac{15750}{450}\implies \blacktriangleright w=35 \blacktriangleleft[/tex]
Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15
less than Jessica. The following expression shows Monte's eamings:
4y - 15
In the expression, what does the first term represent?
Answer: A, Jessica's Earning's at the end of the week
Step-by-step explanation: If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica
The amount earned by Jessica and Monte are illustrations of a linear function.
The first term represents Jessica's total earnings.
Monte's earning is expressed as:
[tex]\mathbf{4y - 15}[/tex]
From the question, we understand that:
Jessica earns $4 per crate of banana
So, 4y represents Jessica's total earnings.
Hence, the first term represents Jessica's total earnings.
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