Hello!
Answer:The value that is in the middle of the data set will be the mean. (So, there will be three numbers on the left of it, and three to the right).
Explanation:Let's say the numbers are 7, 9, 3, 6, 2, 1, 5 (Just as an example)
Because the amount of numbers in this data set is seven, it is an odd number. This means to find the median, we simply have to look at the number in the middle of the set. (In this case, that would be six).
Henry buys a yacht for 150 000 euros, the yacht depreciates in value by 18% each year. Work out the value of the yacht at the end of 3 years.
Answer:
369000
Step-by-step explanation:
i think its right you have to take 150,000 and subtract 18% from it and then take the new number you get and multiply that by 3
Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation of 14. Using the empirical rule, what percentage of IQ scores are between 61 and 145
Answer:
\( P(61<x<145)\)
And we can use the z score formula in order to find the deviationn above/below for the limits given given by:
\( z= \frac{X -\mu}{\sigma}\)
And replacing we got:
\( z=\frac{61-103}{14}= -3\)
\( z=\frac{145-103}{14}= 3\)
So then we want the % of values within 3 deviation from the mean and from the empirical rule we know that between these we have 99.7% of the data.
Step-by-step explanation:
We know that the IQ scores have the following parameters:
\(\mu = 103, \sigma = 14\)
And we want to find the following probability:
\( P(61<x<145)\)
And we can use the z score formula in order to find the deviationn above/below for the limits given given by:
\( z= \frac{X -\mu}{\sigma}\)
And replacing we got:
\( z=\frac{61-103}{14}= -3\)
\( z=\frac{145-103}{14}= 3\)
So then we want the % of values within 3 deviation from the mean and from the empirical rule we know that between these we have 99.7% of the data.
3/8 of the plants neede3/8 of the plants needed water. 63 plants need water. How many plants are there total?d water. 63 plants need water. How many plants are there total?
The total number of plants is given as follows:
168 plants.
How to obtain the total number of plants?The total number of plants is obtained applying the proportions in the context of this problem.
The variable that represents the total number of plants is given as follows:
n.
The fraction of the number of plants that needed water is given as follows:
3/8.
The fraction 3/8 of n is equivalent to an amount of 63, hence the total amount of plants is obtained as follows:
3n/8 = 63
3n = 63 x 8
n = 21 x 8(simplifying by 3).
n = 168 plants.
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\( Find the area of the shape shown below.\)
Answer:
60
Step-by-step explanation:
shape can be made into a trapezoid and square
rectangle area= a*b
triangle = 1/2 a*b
rectangle = 64
triangle = 4
64-4=60
Student football game tickets cost $20 Adult tickets cost $30. Write a function that shows
the total cost for s student tickets and a adult tickets.
Answer:
Here are the answers for the whole QC for CA students.
1. C
2. A
3. no
4. c
5. A
Step-by-step explanation:
Given the following formula, solve for a.
s=a+b+c/2
We can rearrange it to the standard form perimeter a = s - b - C/2
In arithmetic, what is a perimeter?
The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
The answer to your question is a = s - b - C/2
To solve for "a", we must get "a" on it's own side of the equal sign. We can first subtract "s" from both sides:
0 = a + b + C/2 - s
Then, we can subtract a from both sides:
-a = b + C/2 - s
Finally, we divide both sides by -1, so a is by itself.
a = -b - C/2 + s
And we can rearrange it to the standard form:
a = s - b - C/2
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1.
I Which number line shows the solution to the inequality
-3x - 5 < -2?
A.
B.
C.
D.
-3 -2 -1 0 1
-3 -2 -1 0 1
0++
0 1
3 -2 -1 0
2 3
2 3
2 3
+++
-3 -2 -1 0 1 2 3
What are the slope and the Y intercept of the linear fractionThat is represented by the equation y= - 10x + 1
The slope is the number with the letter x
The slope would be -10
The y intercept is the number at the end of the equation.
The y intercept is 1
a pyramid has a height of 5 inches and a volume of 60 cubic inches ?
Answer:
36 square inches.
Step-by-step explanation:
volume is given by 1 by 3, into base into height is based. His height and volume and area of the base is given by area of the ashe area of the base is given by 3 into 60 by 5. As given in the question on solving it, we get it equals to 36 square inches.
please help!!!!!!!!!
Answer:
1. a
2. d
3. c
4. b
Step-by-step explanation:
You're matching the formulas up with the sequences. Start with one of the formulas ("rules") and see if it matches up with any of the given sequences, that's what I would do.
So first, a little explanation:
A recursive formula tells you how to find a term of a sequence using the value of the previous term. another way to think of it is finding the next term of a sequence using a particular term.
aₙ refers to the nth term in a sequence. this means the position, such as first, second, third, etc.
So a₁ means the first term, and aₙ₋₁ refers to the term aₙ (aₙ will be the term we are talking about)
I'll explain as we go along.
1. aₙ=3+aₙ₋₁ ; a₁=2
The second part means that the sequence begins with 2, but all four sequences start with 2, so this doesn't help you narrow anything down.
The first part tells you that each term is derived by adding 3 to the previous term. how do you figure this out?
aₙ is the term in a given position. let's take n=2, for example. everywhere where there was n, substitute 2.
a₂=3+a₍₂₋₁₎=3+a₁
We already know that a₁=2, so a₂=3+2=5
You can try a few more examples, but by this point, it should be clear that recursive formula 1 matches up with sequence a.
2. The rule says that each term is the opposite of the term before it. Again, you can substitute values of n to see this for yourself. But the only sequence that satisfies this condition is d.
3. This rule states that each term is given by 5 minus the previous term. Let's try to find a₂: a₂=5-a₁
a₁=2 for all of the sequences, so a₂=5-2=3
The only sequence with a₂=3 is c.
Again, you can try this with more values of n. and if the sequences didn't all happen to begin with the same number, you would just have to do a little more trial and error.
4. Of course, there is only one answer left. but let's try to work through the problem anyway.
for n=2
a₂=2-a₁=2-2=0
and this matches up with b. I think this formula is the most confusing out of the four, but with a little patience, you should be okay.
Hopefully this helped!
△TOPtriangle, T, O, P is rotated − 18 0 ∘ −180 ∘ minus, 180, degrees about the origin. Draw the image of this rotation
A graph of the resulting triangle after a rotation of -180° about the origin is shown below.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point T (6, 0) → Coordinates of point T' = (-6, 0)
Coordinates of point O (-2, -5) → Coordinates of point O' = (2, 5)
Coordinates of point P (-2, 5) → Coordinates of point P' = (2, -5).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Can someone help me out ? Thx :)
Answer:
so your answer is 360 degrees which is an entire circle so out of the circle you have 53 degrees out 360 cut in have is 180 so 53 minus 180 is 27
hence the answer is 27
a) What is the difference between a 90º counterclockwise rotation and a 90º clockwise rotation?
b) If you use the letter C, what letter will each of those rotations look like...
...a 90º counterclockwise rotation?
...a 90º clockwise rotation?
Answer: answer to A: Clockwise rotations clockwise, while counterclockwise rotations rotate in the opposite direction
Answer to B: i have no idea but i hope the first one helps
Step-by-step explanation:
Can someone help me with this? I’m confused
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
In a right-angled triangle the ratio of the two smaller angles is 3:2. Find the sizes of each of the angles.
Answer:
36° , 54° , 90°
Step-by-step explanation:
since the triangle is right then one angle is 90°
the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )
the sum of the 3 angles in the triangle is 180° , that is
3x + 2x + 90 = 180
5x + 90 = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
Then
3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
the 3 angles measure 36° , 54° , 90°
3x + 14 = 64
What is x?
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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Tyrell is traveling to Chicago, Ilinois. He takes a cab service from the airport to his hotel.
The table shows the linear relationship between the number of miles the
Cab Fare
Number of Miles Total Fee
$15.00
5
$19.50
7
$22.50
10
$27.00
15
$34.50
What does the y-intercept mean in this situation?
O When the cab travels 0 miles, the total fee will be $1.50.
O When the cab travels 0 miles, the total fee will be $12.00.
O For every additional
mile the cab travels, the total fee increases by $1.50.
O For every additional mile the cab travels, the total fee increases by $12.00.
Y-intercept linear 12 shows that the total cost will be $12.00 when the taxi travels 0 miles.
How do you define a linear relationship?the connection between two variables that, when plotted on the coordinate plane, forms a straight line. The term "linear expression" refers to both the linear equation and the expression that depicts a linear relationship.
(2, 15), (5, 19.50), (7, 22.50), and (10, 27) are the coordinates (15, 34.50)
We will obtain a straight line if we plot the points on the XY coordinate system. The line crosses the Y axis at 12.00, as can be seen. As a result, the y-intercept is 12.00, and its coordinate is (0,12)
The y-intercept in this case is 12, which indicates that the total cost will be $12.00 even if the taxi travels 0 miles.
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For which value of x is this equation true?10 + x ÷ 3 = 12
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
If A(0, 4), B(5, y), and AB = 13. What is y?
The required value of y for the given segment AB is given as y = 16, -8.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
here,
A(0, 4), B(5, y), and AB = 13.
Applying the distance formula,
D = √[[x₂ - x₁]² + [y₂- y₁]²]
Substitue the value in the above expression,
13 = √[[5 - 0]² + [y - 4]²]
169 = 25 + [y - 4]²
[y - 4]² = 144
y - 4 = ± 12
y = 16, -8
Thus, the required value of y for the given segment AB is given as y = 16, -8.
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determine the value of X?
Determine the Magnitude of FTD?
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
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I could use some help, thanks!
Answer:
line b, line c
Step-by-step explanation:
(Please someone help me!) (No links!)
Please answer for all three with those answer choices!
Answer:
Step-by-step explanation:
1) $50(0.20) = $10
2) $50(1.02) = $51
3) $50(1 - 0.20) = $40
visual domain and range
The domain of a graph of a function is x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function shown in the picture.
As we can see in the graph there are two bold dots are shown which represents at these points the function value exist.
At x = -8, y = 7
At x = 9, y = 6
At x = -3, y = 0
The domain of a function is x ∈ [-8, 9]
The range of a function is y ∈ [7, 0]
Thus, the domain of a graph of a function is x ∈ [-8, 9] and the range of a graph of a function will be y ∈ [7, 0]
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4(2x-1) x=5 solve the problem
Step-by-step explanation:
4(2x-1) ,x=5
4(2(5)-1)
4(10-1)
4(9)
36
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
Answer:
36
Step-by-step explanation:
when you plug 5 into this equation you get 36!
00
Select the correct answer.
Using synthetic division, find (2x +4x3³ + 2x+8x+8) + (x+2).
OA 213 + 2x + 4
OB. 214 +21² +41
OC 213 +21+4+=+2
OD. 213 +21² + 4
Reset
Next
Given the data shown below, which of the following is the best prediction for
the number of years it will take for the population to reach 200,000?
Year
Population
11,920
2
16,800
3
23,300
4
33,000
5
45,750
6
64,000
O A. 9.41
O B. 12.45
O C. 15.82
O D. 18.14
Answer:
The best prediction for the number of years it will take for the population to reach 200,000 is 9.41
Step-by-step explanation:
Year Population
1 11,920
2 16,800
3 23,300
4 33,000
5 45,750
6 64,000
\(y_1 =A _0 e ^{kt _1}\\y_2 = A_0 e^{k t_2}\\(t_1,y_1)=(1,11920)\\(t_2,y_2)=(2,16800)\)
Substitute the values
\(11920=A _0 e ^{k} ---1\\16800 = A_0 e^{2k} ---2\)
Divide 1 and 2
\(\frac{11920}{16800}=\frac{e^k}{e^{2k}}\\\frac{11920}{16800}=e^{k-2k}\\ln(\frac{11920}{16800})=-k\\k=-1 ln(\frac{11920}{16800})\\k=0.3432\\A_0=y_1 e^{-k t_1}\\A_0=11920 e^{-0.3432}\\A_0=8457.5238\)
The exponential function that passes through the points (1, 11920) and (2, 16800) is\(y=8457.5238 e^{0.3432t}\)
Now we are supposed to find the best prediction for the number of years it will take for the population to reach 200,000
\(200000=8457.5238 e^{0.3432t}\)
\(\frac{200000}{8457.5238}=e^{0.3432t}\)
\(ln(\frac{200000}{8457.5238})=0.3432t\)
t = 9.41
Hence the best prediction for the number of years it will take for the population to reach 200,000 is 9.41
What are roots of the equation -90=x (x-18)
Answer:
-90=\(x\)(\(x\)-18)
-90=\(x^{2}\)-18\(x\)
\(0=x^{2}-18x+90\)
\(x=9+3i or 9-3i\)
Step-by-step explanation:
you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.
square root (-9) = 3i
Car drove 2hours at a speed of 100km per hour & 3 hour at a speed of 50 km per hour . What was the average speed of the car during the trip?
Answer:
200 kilometers and 150 kilometers