Answer:
51.2545454545
Step-by-step explanation:
Answer:
51.25....
Step-by-step explanation:
The table shows the number of families staying at a campsite in 2015.
Questionnaires are sent to 60 families.
The sample of size 60 is stratified by type of unit and area.
Area
a) How many families who
Woods Fields Clifftop
stayed in a Tent in the
Woods are sent a
Caravan 25
20
35 questionnaire?
Type of unit Tent
15
30
b) How many families who
45
stayed in a Caravan
Motorhome 60
are sent a questionnaire?
50
20
Total
100
100
100
Answer:
a) = 3 b)=16
Step-by-step explanation:
60/300= 1/5
a) 1/5 x 15=3
b)25 + 20 +35=80
1/5 x 80= 16
(correct on mathswatch)
*Brainliest!* What are the AREA and Perimeter of this collection of tiles?
Answer:
15 I think
Step-by-step explanation:
50 POINTS!
If (1,2) is a point in the graph of f(x), which ordered pair must also be on the graph of y=f(x−2)−3?
Write your answer as an ordered pair, like (a,b).
Answer:
(1,2) and (x-2)-3 should be on the graph
Step-by-step explanation:
2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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Find Principal when Time = 5 years, Interest - $ 500; Rate = 5%
Answer:
P = $2,000
Step-by-step explanation:
Interest = Principal x Rate x Time
500 = P(.05)(5)
500 = .25P
P = 500/.25
P = 2000
Find the value of x and y in simplified radical form.
x and y have the values 7 and 7√2, respectively.
The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.
We can use this information to determine the values of x and y because the base is specified as being 7.
Let's give the perpendicular side the value of x, and the hypotenuse the value of y.
The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.
Consequently, x = 7.
We can determine that x:y:2x using the ratio of 1:1:2.
When we enter the value of x, we may calculate y:
7:y:√2(7)
Simplifying even more
7:y:7√2
Given that the hypotenuse (y) equals 72, we can write:
y = 7√2
Thus, x and y have the values 7 and 7√2, respectively.
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Find the measure of the missing angle
Answer: a=
Answer:
Hello! answer: 49
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees so...
90 - 41 = 49 therefore a = 49 hope that helps!
Answer:
Step-by-step explanation:
anfle a+41 degree=90 degree(being perpendicular)
angle a=90-41
angle a=49
3 - 6n – 4 < 17
Help thanks
Answer:
n>-3
Step-by-step explanation:
add like terms:
3+-4= 1
Then you end up with--> 6n+1 < 17
Get the variable by itself ( add 1)
6n < 18
Then divide 6n from 18
switch signs.
solve 732.178+167-542.137
Answer:
357.041 is the answer first add then subtract
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT
Answer:
-9, -2, 14
Step-by-step explanation:
-1 is < 0 so plug it into the first function.
8(-1) -1 = -9
0 is ≥ 0 so plug it into the second function
8(0)-2 = -2
2 is ≥ 0 so plug it into the second function
8(2) - 2 = 14
PLEASE HELP!!!
Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)
The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
What is translation on a coordinate plane?Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.
During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.
Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.
So,
\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)
\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)
\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)
Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
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the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
Find c such that (-5, -3), (10, 1), and (c, -9) lie on a line.
well, we know all three points are colinear, so the slope from the first two points is the same slope from either to the (c , -9) point, let's check the slope of the first two points given
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{1})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-5)}}} \implies \cfrac{1 +3}{10 +5}\implies \cfrac{4}{15}\)
so then, the slope from say hmmmm let's use (-5 , -3), the slope from (-5 , -3) and (c , -9) must also be the same 4/15
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{c}-\underset{x_1}{(-5)}}} \implies \hspace{5em}\cfrac{-9 +3}{c +5}~~ = ~~\stackrel{slope}{\cfrac{4}{15}}\implies \cfrac{-6}{c+5}=\cfrac{4}{15} \\\\\\ -90=4c+20\implies -110=4c\implies \cfrac{-110}{4}=c\implies -\cfrac{55}{2}=c\)
PLease help, this is due tomorrow by 1 pm.
Note that the parameters of the graph a and graph b are given below.
Graph A - y=2(x-1)²
See graph attached.
Graph B - y = 1/2x² + 3
Vertex: The vertex of the function is (0, 3).
Axis of symmetry: The axis of symmetry is the vertical line passing through the vertex, which is x = 0.
Y-intercept: The y-intercept is the point where the graph intersects the y-axis. It is (0, 3).
Minimum or maximum: The coefficient of x² is positive, which means the parabola opens upwards, and therefore the function has a minimum value. The minimum value is 3.
Solutions: To find the solutions or roots of the quadratic equation, we need to set y or f(x) equal to zero and solve for x.
0 = 1/2 x² + 3
Subtracting 3 from both sides, we get:
-3 = 1/2 x²
Multiplying both sides by -2, we get:
6 = -x²
Taking the square root of both sides, we get:
x = ±√(-6)
Since the square root of a negative number is not a real number, the function has no real roots.
Minimum or maximum value: The minimum value of the function is 3.
Range: The range of the function is y ≥ 3, because the function has a minimum value of 3.
Domain: The domain of the function is all real numbers, because there are no restrictions on the values of x for which the function is defined.
Stretch/Shrink/Standard: The coefficient of x^2 is positive and less than 1, which means that the graph of the function is narrower than the graph of y = x². This is an example of a standard quadratic function that has been vertically compressed by a factor of 1/2.
See graph attached.
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Question 6 (5 points)
Which of the following pairs of triangles can be proven similar through SSS
similarity?
The pairs of triangles can be proven similar through SSS similarity is given by Third pair.
We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.
1. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
2. KL / EG = HL / DG = HK / DE
3/10 ≠ 6.5/13 ≠ 4/10
Thus, SSS similarity does not follow.
3. KL / EG = HL / DG = HK / DE
3/6 = 6.5/13 = 5/10
Thus, SSS similarity follow.
4. All three angles are congruent.
Thus, SSS similarity does not follow.
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SLOPE DIGITAL ESCAPE ROOM
I need help finding the code
By finding all the four slopes, we can see that the word is ECHA.
How to find the word?We know that the general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:
s = (y₂ - y₁)/(x₂ - x₁)
With that formula we can get the slopes.
1) Using the points (0, 3) and (2, 4).
m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.
2)Using (-1, -12) and (1, -8)
m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.
3) We have (2, -6) and (-4, -3) so:
m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H
4)we can use the points (0, 3) and (1, 1), so:
m = (1 - 3)/(1 - 0) = -2, so the letter is A
Then the word is ECHA
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1. Find the new value after the old value of 56 is increased by 8%.
Answer:
60.48
Step-by-step explanation:
Answer:51.52
Step-by-step explanation:
Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (−5, 1).
Use the Polygon tool to graph the dilated triangle.
Answer:
Please see picture below.
Step-by-step explanation:
There are 88 black balls and 88 red balls in an urn. If 33 balls are drawn without replacement, what is the probability that exactly 11 black ball is drawn? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.0164 probability that exactly 11 black balls are drawn
Step-by-step explanation:
The balls are drawn without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
In this question:
Total of 88 + 88 = 176 balls, so \(N = 176\)
33 balls are drawn, so \(n = 33\)
We want 11 black balls(sucesses), so \(n = 11\)
There are 88 black balls, so \(k = 88\)
Then
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 11) = h(11,176,88,33) = \frac{C_{88,11}*C_{88,22}}{C_{176,33}} = 0.0164\)
0.0164 probability that exactly 11 black balls are drawn
What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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Where do humans and other animals get their food?
Answer:
Humans and other animals get their food from plants directly or indirectly. Humans and animals are heterotrophic organisms, so they obtain their food from other organisms.
Step-by-step explanation:
∧
Answer:
From plants and other animals
Step-by-step explanation:
Got it right on my quiz haha..
Refer to right triangle ABC with C = 90 degrees if a=6 and c=18, find b
Answer:
16.97
Step-by-step explanation:
To solve for a missing side in a right angles triangle, we solve using Pythagoras Theorem.
Pythagoras Theorem =
a² + b² = c²
Where c = Hypotenuse = Longest side
From the question above,
a=6 and c=18,
Hence,
6² + b² = 18²
b² = 18² - 6²
b² = 18² - 6²
b² = 324 - 36
b²= 288
Square root both sides
b = √288
b = 16.970562748
Approximately b ≈ 16.97
Use the drawing tools to form the correct answer on the graph. Plot function f on the graph. f(x)= 3, -9
The equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
What is the definition of a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function has to be plot which has the value of f(x) as 3 and -9. Here, 3 and -9 are the solution of the function. Thus,
x=3
x-3=0
The second solution is,
x=-9
x+9=0
Multiply both factor for the function as,
f(x)=(x-3)(x+9)
f(x)=x²+9x-3x-27
f(x)=x²+6x-27
This is the required function. The graph of this function is attached below.
Thus, the equation of the function f with solution 3, -9 is x²+6x-27 and the graph of this equation with the use of drawing tools is attached below.
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Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
Please help me Thank you
Step-by-step explanation:
help me you nedd to add position
Hahaha A little help? Plss
Answer:
Step-by-step explanation:
6/58=3/29
Answer:
3/29
Step-by-step explanation:
Write in Slope Intercept Form :-)
Two numbers are in the ratio 3: 4. If 2 is subtracted from each number, the ratio becomes 2:3. Find the numbers.
Answer:
The numbers are 6 and 8.
Step-by-step explanation:
Let the numbers be x and y.
x/y = 3/4
(x - 2)/(y - 2) = 2/3
3y = 4x
2(y - 2) = 3(x - 2)
3y = 4x
2y - 4 = 3x - 6
4x - 3y = 0
3x - 2y = 2
-8x + 6y = 0
+ 9x - 6y = 6
--------------------
x = 6
3y = 4x
3y = 4 × 6
3y = 24
y = 8
The numbers are 6 and 8.
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
it will be choice 3
Step-by-step explanation:
as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side