hello
to solve this problem, we need to know the total number of triangles in the diagram
i'lll go ahead and count it
we have 5 triangles plus the large triangle making it a total of 6 triangles
assuming all the triangles are of equal size,
we'll have a case of 1:6
that is, 1/6
the fraction of the large triangle represented in each region is 1/6
Determine whether the sample is biased or unbiased. Explain how you know. If the sample is biased, give an example of an unbiased sample for the situation. You want to estimate the number of students in your school who play a musical instrument. You survey the first 15 students who arrive at a band class.
Answer: This is a biased sample.
Step-by-step explanation:
A biased sample is when there is some kind of "selection" in your sampling process, where in order to avoid this we should have the most random selection that we can make
Here, the sample is "the first 15 students who arrive at a band class"
Here is obviously a bias, because you could think that these students may be more "dedicated" students than the ones that will arrive later to the class, and we also have the fact that all the students in our sample are in the same class, so there is another bias.
Then we can conclude that this is a biased sample.
Given the function g(a) =4a -3. Solve for g(-2)
Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11
Step-by-step explanation: your welcome. :)
Answer:
-11
Step-by-step explanation:
g(a) = 4a -3
g(-2)= 4(-2)-3
g(-2)= -8-3
g(-2)= -11
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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Convert 3.29 to a reduced fraction.
Answer: 329/100
Step-by-step explanation:
3 29/100 is the answer
Find the slope of the line shown on the graph to the right.
The slope of the line is
(Type an integer or a simplified fraction.)
Answer:
The slope is 1.
What mathematical property is represented by the equation below
c+d=d+c
Answer:
Step-by-step explanation:
c+d=d+c
Associative Property
What is the number in standard form?
5.708×10−8
Answer:
49.08
Step-by-step explanation:
Im right trust me
What is 94,353 in expanded form?
\( \large \color{lightblue}Answer:\)
94,353 = 90,000 + 4,000 + 300 + 50 + 3Hope it helps..
Answer:
90000 + 4000 + 300 + 50 + 3 = 94353
7 1/8 - 3 5/8 plz help me on this math
Answer:
7/2 or 3 1/2
Step-by-step explanation:
ou find 38 coins consisting only of nickels, dimes, and quarters, with a face value of $4.75. However, the coins all date from 1926, and are worth considerably more than their face value. A coin dealer offers you $8 for each nickel, $6 for each dime, and $22 for each quarter, for a total of $410. How many dimes did you find? Type in your numerical answer only; do not type any words or letters with your answer.
Answer:
17
Step-by-step explanation:
First of all let us assume the following:
Let the number of nickels = n
Let the number of dimes = d
Let the number of quarters = q
Note also the following conversion factors:
1 nickel = $0.05
1 dime = $0.1
1 quarter = $0.25
we are given the following information:
n + d + q = 38. . . . (1) (38 coins consisting only of nickels, dimes, and quarters)
0.05n + 0.1d + 0.25q = 4.75 ( we can remove decimals by multiplying through by 100 to give)
5n + 10d + 25q = 475 . . . . (2) note that equation 2 can also be simplified by dividing through by 5, to give the following)
n + 2d + 5q = 95 . . . . . (2)
8n + 6d + 22q = 410 . . . . (3)
Next we will look for a way to eliminate two of the unknowns in each equation to have just one unknown that we can use to solve.
we have three equations
n + d + q = 38. . . . . . . . (1)
n + 2d + 5q = 95 . . . . . (2)
8n + 6d + 22q = 410 . . .(3)
Next we will look for a way to eliminate two of the unknowns in each equation to have just one unknown that we can use to solve.
we can eliminate n by subtracting equation (1) from (2) {eq (2) - eq (1)}
(n - n) + (2d - d) + (5q - q ) = (95 - 38)
= d + 4q = 57 . . . . . . (3)
Next we can multiply eqn (1) through by 8, to make it look like eqn (3), the we can subtract eqn (1) from eqn (3) as follows:
eqn (1) × 8 = 8 × (n + d + q = 38)
8n + 8d + 8q = 304 . . . . (1b) ; subtracting this from eqn (3) we have:
(8n - 8n) + (6d - 8d) + (22q - 8q) = (410 - 304)
= -2d + 14q = 106 . . . . (4)
Now, we have two simplified equations that we can work with:
d + 4q = 57 . . . . . . (3)
-2d + 14q = 106 . . . . (4)
from eqn (3), making 'd' the subject of the formular:
d = 57 - 4q ; replacing the value of d in eqn 4 with this value, we have:
-2(57 - 4q) + 14q = 106
-114 + 8q + 14q = 106
-114 + 22q = 106
22q = 106 + 114 = 220
22q = 220
∴ q = 220 ÷ 22 = 10
∴ q = 10
Next let us solve for 'd' by replacing the value of q with 10 in eqn (3)
d + 4q = 57 . . . . . . (3) (but q = 10)
d + 4(10) = 57
d + 40 = 57
d = 57 - 40 = 17
d = 17
finally to solve for n, let us input the values of q and d into eqn (1)
n + d + q = 38. . . . (1) (q = 10 ; d = 17)
n + 17 + 10 = 38
n + 27 = 38
∴ n = 38 - 27 = 11
Therefore the number of each coin are as follows:
nickel = 11
dime = 17
quarters = 10
the solution is quite lengthy, but if you don't understand it at first look, please go through it again.
what is the slope and y intercept?
The model below represents the equation 4a = -20
a
a
II
a
a
Key
-1
What is the value of a?
-5
5
4
Answer:
-5 is the value of a, 4 × -5 = -20
simplify 8+3{x-2[x+5(x3)]}
the correct answer is negitive one hundred eighty (-180)
Determine the number and types of solutions for
6m^2-3m-4=0
Given:
The equation is
\(6m^2-3m-4=0\)
To find:
The number and types of solutions for the given equation.
Solution:
We have,
\(6m^2-3m-4=0\)
It is a 2nd degree polynomial because the highest degree of the variable x is 2.
Number of solutions = Degree of the polynomial
Number of solutions = 2
Therefore, the given equation has 2 solutions.
In a quadratic equation \(ax^2+bx+c=0\), if \(b^2-4ac>0\), then the equation has two distinct real solutions.
For the given equation, a=6, b=-3 and c=-4.
\(D=b^2-4ac\)
\(D=(-3)^2-4(6)(-4)\)
\(D=9+96\)
\(D=105>0\)
Therefore, the given equation has two distinct real solutions.
What is the value of x?
Answer:
Option A = 6
Step-by-step explanation:
3x- 5 = x+ 7 ( as diagonals r equal in a recangle)
3x-x = 7+ 5
2x = 12
x = 12/ 2 = 6
I hope im Right !!
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
factorise x³-4x²+x+6
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
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I’m am so lost please help thank you all
Answer:
Step-by-step explanation:
148 people
The quadratic function
Answer:
Four and three arithmetic numbers of this equation are then
Step-by-step explanation:
\(x = 3 = x = 4 > - 4 > < - 3 = x = 4\)
And the numbers are equal
\(x = 4 \\ y = 3 \\ x \times y = 12 = 12 > 4 > 3 = xy = 0 = \\ xy = - 12\)
Give an explanation on the significance of including an insurance cover when a contractor purchase the water tanker
Answer:
to provide protection from liability as a result of error and omissions when performing their services/contractual services
Step-by-step explanation:
it helps cover for anything damages or thefts in case the truck get stole or damaged
are the rational numbers a subset of all real numbers? are the rational numbers a subset of the irrational numbers? explain
Answer:
see below
Step-by-step explanation:
are the rational numbers a subset of all real numbers?
yes of course
by definition the real numbers is the union of the rational numbers and the irrational numbers
so we can say that the rational numbers are a subset
and every rational number is part of the real number
are the rational numbers a subset of the irrational numbers?
No
the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction
so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen
Rational numbers are a subset of all real numbers while rational numbers are not a subset of irrational numbers.
Real numbers encompasses all rational and irrational numbers, integers, whole numbers and natural numbers with the exclusion of complex numbers usually written in the form 8+i, √-1.
Hence, real numbers include numbers such as 1/4, 0.444, 0, 1, - 4, √6 and so on.
Hence, rational numbers are a subset (a part) of all real numbers .
Rational numbers are not a subset of irrational numbers as they are complement (a rational number cannot be irrational and vice versa) of one another.
• Rational numbers are numbers which can be expressed in the form a/b where b ≠ 0. While ;
• Irrational numbers are numbers which o cannot be expressed in the format a/b. Irrational numbers include √6, 0.13412... e.t.c
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Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Identify the slope and y-intercept in the following equations. y = x + 3
Answer:
The slope is 1 and the y-intercept is 3
Step-by-step explanation:
Answer:
the starting intercept is "3" and the rise over run is "1"
You are the manager of a firm that sells its product in a competitive market at a price of $48. Your firm's cost function is C = 60 + 2Q 2. Your firm's maximum profits are
Answer:
the correct answer is truly
Step-by-step explanation:
STOP CHEATING ON THID APP
Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
The following residual plot is obtained after a regression equation is determined for a set of data. Does the residual plot indicate that the regression equation is a good model or a bad model of the data? Why or why not?
The residual plot shows that the regression equation is a good model of the data because it shows a random scatter of points around a horizontal line at zero, with no pattern or trend
What makes a residual plot a good model?A residual plot is a scatter plot of the residuals against the predictor variable(s) or the fitted values. It is used to verify whether the regression equation fits the data well.
In the event that the residual plot shows a random scatter of points around a horizontal line at zero, with no pattern or trend, it shows that the regression equation is a good model of the data.
On the other hand, supposing the residual plot shows a pattern or trend, such as a curve, a U-shape, or a funnel shape, it shows that the regression equation is a bad model of the data.
Therefore, from the graph given, the residual plot shows that the regression equation is a good model of the data.
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If 15 buses can carry 795 passengers, what is the total number of passengers that can be carried by 18 buses?
Answer:
954 passengers
Step-by-step explanation:
We can use ratios to solve
15 buses 18 buses
-------------- = ---------------
795 passengers x passengers
Using cross products
15 * x = 18 * 795
15x = 14310
Divide each side by 15
15x/15 = 14310 /15
x =954
18 buses can carry 954 passengers
100 points!!
f (x) = −√x + 2 + 3
Fully explain the three transformations required to produce this function from the
parent function.
Answer: the first thing is your answer :)
thx for the points
Step-by-step explanation:
g
(
x
)
=
x
2
−
3
The parent function is the simplest form of the type of function given.
f
(
x
)
=
x
2
The transformation being described is from
f
(
x
)
=
x
2
to
g
(
x
)
=
x
2
−
3
.
f
(
x
)
=
x
2
→
g
(
x
)
=
x
2
−
3
The horizontal shift depends on the value of
h
. The horizontal shift is described as:
g
(
x
)
=
f
(
x
+
h
)
- The graph is shifted to the left
h
units.
g
(
x
)
=
f
(
x
−
h
)
- The graph is shifted to the right
h
units.
In this case,
h
=
0
which means that the graph is not shifted to the left or right.
Horizontal Shift: None
The vertical shift depends on the value of
k
. The vertical shift is described as:
g
(
x
)
=
f
(
x
)
+
k
- The graph is shifted up
k
units.
g
(
x
)
=
f
(
x
)
−
k
- The graph is shifted down
k
units.
Vertical Shift: Down
3
Units
The graph is reflected about the x-axis when
g
(
x
)
=
−
f
(
x
)
.
Reflection about the x-axis: None
The graph is reflected about the y-axis when
g
(
x
)
=
f
(
−
x
)
.
Reflection about the y-axis: None
Compressing and stretching depends on the value of
a
.
When
a
is greater than
1
: Vertically stretched
When
a
is between
0
and
1
: Vertically compressed
Vertical Compression or Stretch: None
Compare and list the transformations.
Parent Function:
f
(
x
)
=
x
2
Horizontal Shift: None
Vertical Shift: Down
3
Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None
image of graph
Help pleaseee!!! Michelle is a cosmetician working in Stafford and receives an annual salary of $49,809. She is paid every other Friday. Calculate what her check will be before deductions (gross income); then calculate her Medicare and Social Security (SS). What remains is her net income (take home pay). How much did she pay in deductions and what is her net income?
Answer:
Answer
0
Answer:
$806.04
ok, so there is an everage of 4.348 weeks in a month, so lets just go with 4 weeks in a month. so in total she loses 81.45%of her paycheck to taxes, then $25 on top of that. 28.00*40*4=4480. $4480*0.8145=$3648.96. she loses $3648.96, then add 25 to that, you get $3673.96. $4480-$3673.96=$806.04
Step-by-step explanation:
i am smart
f(x)= a(x+p)² +q and g(x)= 0 3 3.1 x + p 1. The turning point of f is (1;4) and the asymptotes of g intersect at the turning point of f. Both graphs cut the y-axic at 3. 3.2 3.3 3.4 a 10 g +94 (1:4) Determine the equation of f Determine the equation of g Determine the coordinates of the x-intercept of g For which values of x will f(x) ≥ g(x)? [9]
Step-by-step explanation:
Let's solve the given questions step by step:
1. Determine the equation of f:
From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:
f(x) = a(x + p)^2 + q
Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:
4 = a(1 + p)^2 + q
This gives us one equation involving a, p, and q.
2. Determine the equation of g:
The equation of g is given as g(x) = 0.3x + p1.
3. Determine the coordinates of the x-intercept of g:
The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.
Setting g(x) = 0, we can solve for x:
0 = 0.3x + p1
-0.3x = p1
x = -p1/0.3
Therefore, the x-intercept of g is (-p1/0.3, 0).
4. For which values of x will f(x) ≥ g(x)?
To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.
f(x) = a(x + p)^2 + q
g(x) = 0.3x + p1
We need to find the values of x for which f(x) ≥ g(x):
a(x + p)^2 + q ≥ 0.3x + p1
Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.
To summarize:
We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).