Note that the following probability as a simplified fraction and as a decimal is: 0.88617886178 and 109/123
How is this so?Note that the key phrase here is “given that this person is a man.”
This means that all we are interested in is the row labeled Male.
Married Never Div Widowed Total
Male 69 40 11 3 123
We are asked to find the probability that the person was either Married or Never. So the fraction you want is (69 + 40) / 123.
⇒ (69 + 40) / 123.
⇒ 109/123
or 0.886179
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Express the following probability as a simplified fraction and a decimal.
if one person is selected from the population described in the table, find the probability that the person has never been married or is married, given that this person is a man.
Married Never Married Divorced Widowed Total
Male 69 40 11 3 123
Female 67 33 20 5 125
Total 136 73 31 8 248
Question 1.Express the probability as a simplified fraction
Suppose that you were 24 inches long at birth and 4 feet tall on your tenth birthday. Based on these two data points, create a linear equation for the function that describes how height varies with age. Use the equation to predict the height at age 9 and 31
An equation for this linear function that describes how height varies with age is y = 1/5(x) + 2.
The predicted height at 9 is 3.8 feet.
The predicted height at 31 is 8.2 feet.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.Conversion:
1 feet = 12 inches
24 inches = 24/12 = 2 feet.
Next, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 - 2)/(10 - 0)
Slope (m) = 2/10
Slope (m) = 1/5
At data point (0, 2) and a slope of 1/5, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 1/5(x - 0)
y = 1/5(x) + 2
When x = 9, the predicted height is given by;
y = 1/5(9) + 2
y = 3.8 feet.
When x = 31, the predicted height is given by;
y = 1/5(31) + 2
y = 8.2 feet.
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Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Click twice to plot each segment.
Click a segment to delete it.
-10 -9 -8 -9 -6 -5 -4 -3
Slope of the Line:
-2
y
9
GO
5
St
3
N
M
24
RZ
-3
In
VS
09
F
2 3
Submit Answer
4
5 6 7 8 9
10
X
attempt 1 out of 2
Answer:
Step-by-step explanation:
PLEASE FIND THE AREA
Answer:
50 cm
Step-by-step explanation:
To solve this answer you can find the area of the small triangle, and multiply it by 2 to get the area of the top part.
Then you can find the area of one of the bigger triangles and multiply it by 2.
Please could I get brainiest? I'm trying to get to the Expert level.
A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey.
2 orders are made, Find the probability that both are the same color.
(both black, white or grey)
round to 4 d.p.
After considering all the given data and running a series of calculation we reach the conclusion that the probability of receiving both orders as the same colors is 0.2184, under the condition that a company has the information that 32% of their customers order their product in Black and 26% in White and 22% in Grey.
Then the evaluated probability of both orders being the same color can be found by applying summation of the probability of both orders being black, both orders being white, and both orders being grey.
Now, the probability of both orders being black is 0.32 × 0.32
= 0.1024.
Similarly the probability of both orders being white is 0.26 × 0.26
= 0.0676.
Lastly, the probability of both orders being grey is 0.22 × 0.22
= 0.0484.
Hence, the evaluated probability of both orders being the same color is 0.1024 + 0.0676 + 0.0484 = 0.2184 (rounded to four decimal places).
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You start at (2, -1). You move left 4 units. Where do you end?
Answer:
(-2, -1)
Step-by-step explanation:
You want the point that is 4 units left of (2, -1).
X-coordinateThe x-coordinate of an (x, y) coordinate pair tells you the number of units to the right of the x=0 point. It increases for points farther right, and decreases for points farther left.
Moving left 4 units decreases the x-coordinate by 4 units. The x-coordinate of 2 becomes ...
2 -4 = -2
The coordinates of the moved point are (-2, -1).
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If the prism on top of the figure was 4 inches tall instead of 3 inches tall, what would be
the difference between the volume of the original prism on top and the new prism on
top?
Answer:
L * W
Step-by-step explanation:
To find the difference in volume between the original prism and the new prism, we need to calculate the volume of each prism and then subtract the volumes.
Let's assume the base of the prism is a rectangle with length L, width W, and height H.
The volume of a prism is given by V = L * W * H.
Original Prism:
Height = 3 inches
Volume = L * W * 3
New Prism:
Height = 4 inches
Volume = L * W * 4
The difference in volume between the original prism and the new prism is:
New Prism Volume - Original Prism Volume = (L * W * 4) - (L * W * 3)
= L * W * (4 - 3)
= L * W
Therefore, the difference in volume is L * W.
Since we do not have specific dimensions or values for L and W, we cannot calculate the exact difference in volume. We would need additional information to determine the values of L and W or their relationship to find the difference in volume.
Please help. This is geometry
∠WTA and ∠HTC are vertical angles. Thus, they are equal.
As WA || HC, that means ∠AWT and ∠THC are alternate interior angles and are equal. Additionally, ∠WAT and ∠TCH are also alternate interior angles and are equal.
∠WTA = ∠HTC, ∠AWT = ∠THC, and ∠WAT = ∠TCH
Since both triangles have the same angle measurements, they are similar.
Suppose that the function is defined, for all real numbers, as follows.
The graph of the function "g", which is defined for all "real-numbers" is shown below.
The function "g" which is defined for all "real-numbers" is represented as :
g(x) = {2 if x<0,
{-1 if x=0
{-3 if x>0
this function means that, for every input-value, which is less than 0, the output will be always 2,
For the input-value "0", the output-value will be = -1;
For all the input-value which are greater than "1", the out will be always "-3",
So, from the above information, the graph is plotted below,
The red-line represents "2 if x<0", the green line represents "-3 if x>0".
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Write the standard form of the following polynomial.
(2x-3)²-3(x-2)(x+4)-7
X² ? X+ ?
Which of the following accurately graphs the points listed in the table above?
Answer:
Correct ANSWER IS A
Step-by-step explanation:
For each coordinate pair (r,θ) listed in the table, first identify the ray on the graph created by the angle θ. On this ray, plot a point a distance of r from the pole.
see attachment
3(3m+N)
Answer:
Step-by-step explanation:
helpppppppp pleaseeeeee
Adding -4(row 1) to row 3 in the matrix will produce: 0, -9, 2, and 12 respectively.
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
row 1 of the given matrix are: 1, 2, 1, and -5, multiplying -4(row1) will gives;
-4 × 1 = -4
-4 × 2 = -8
-4 × 1 = -4
-4 × -5 = 20
-4(row 1) + row 3 will result to:
-4 + 4 = 0
-8 + (-1) = -9
-4 + 6 = 2
20 + (-8) = 12
Therefore, adding -4(row 1) to row 3 in the matrix will produce: 0, -9, 2, and 12 respectively.
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Mrs. Davis had 6 bowls of flour for a group project. The line plot below shows the fraction of a cup of flour that was left in each bowl after the project.
By summing all the fractions that was left, we have 3 cups of flour left. The correct option is (B).
Understanding Simple Line PlotThe "x" represents the quantity while the fractions represents the value.
To get the cups of flour left, we first multiply the number of "x" with the fraction and then add the resulting fractions together.
Cups left = 1 (1/8) + 1(3/8) + 2(1/2) + 2(3/4)
= 1/8 + 3/8 + 1 + 3/2
Find the LCM
= [tex]\frac{1 + 3 + 8 + 12}{8}[/tex]
= 24/8
Cups left = 3 cups
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what is pi * 12 * 2
Answer: 3.14 x 12 x 2
= 75.36
Step-by-step explanation:
Express the following probability as a simplified fraction and as a decimal.
If one person is selected from the population described in the table, find the probability that the person
2. Find g(f(-4)) when f(x)= 4x+5 and g(x) = 4x^2 -5x - 3
A. 9
B.8
C.329
d. 536
D.536
The value of the function g(f(-4)) = 536. Option D
How to determine the valueFrom the information given, we have that the functions are;
f(x)= 4x+5
g(x) = 4x^2 -5x - 3
To determine the composite function, g(f(-4)), we need to first determine the value of the function f(x) at -4
Now, substitute the value, we have;
f(-4) = 4(-4) + 5
expand the bracket, we get;
f(-4) = - 16 + 5
Add the values
f(-4) = -11
Now, substitute the value in the function g(x), we have that;
g(f(-4)) = 4(-11)² - 5(-11) - 3
find the square and expand the bracket
g(f(-4)) =484 + 55 - 3
Subtract the values, we have;
g(f(-4)) = 536
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PLEASE HURRY
Let
u = 4i - j v = 3i + j w = i + 3j
Find the specified scalar.
u(v + w)
The specified scalar is 12 as the result of u(v + w) is 12i + 12j.
The provided vectors are given to be u = 4i - j v = 3i + j w = i + 3j. First, we need to find the vector v + w,
v + w = (3i + j) + (i + 3j)
v + w = 4i + 4j
Now, we can find dot product, u(v + w),
u(v + w) = u(4i + 4j)
u(v + w) = 4ui + 4uj
Substituting the given values of u, we get,
u(v + w) = 4(4i - j)i + 4(4i - j)j
u(v + w) = 16i - 4j + 16j - 4i
Simplifying, we get,
u(v + w) = 12i + 12j
Therefore, the specified scalar is 12.
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Parametric Functions
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
Use the graph to find f(2)
Pleaaaaaaase answer ASAP
Answer:
f(2) = 3
Step-by-step explanation:
At f(2) we can notice that there is 2 y-values (one is an open circle and another is a closed circle)
But, an open circle means that the function is not defined at that point
But a closed circle means that it is defined
So we ignore the open circle and the closed circle is 3
So f(2) = 3
solve for x and y (Hint: is this a right triangle?)
(30° angle and 5 on the opposite side if anyone couldn’t see)
Answer: c=10, b=5 root 3
Step-by-step explanation:
it is a 30-60-90 triangle (use sum of angles in a triangle theorem.)
5 is the leg oppoiste to the 30 degree, so it is half of the hypotenuse, which is c, so c=10
then just use pythagorean theorem and 100-25=75 so answer is root 75 simplified to 5 root 3
If the profit function for a product is
P(x) = 2400x + 105x^2 − x^3 − 167,000
dollars, selling how many items, x, will produce a maximum profit?
x = items
Selling 80 items will produce maximum profit if the profit function is [tex]P(x) = 2400x + 105x^2 - x^3 - 167,000[/tex].
What is the value of x that produces maximum profit?To find value of x that produces maximum profit, we must get critical points of the profit function and determine which one corresponds to a maximum.
The profit function is given as:
[tex]P(x) = 2400x + 105x^2 - x^3 - 167,000[/tex]
Taking the derivative of P(x) with respect to x, we get:
[tex]P'(x) = 2400 + 210x - 3x^2[/tex]
Setting P'(x) equal to zero and solving for x, we get:
[tex]0 = 2400 + 210x - 3x^2\\3x^2 - 210x - 2400 = 0\\x^2 - 70x - 800 = 0\\(x - 80)(x + 10) = 0[/tex]
Here, the critical points are x = 80 and x = -10.
To determine one that corresponds to a maximum, we can use the second derivative test. Taking the derivative of P'(x), we get:
[tex]P''(x) = 210 - 6x[/tex]
Evaluating P''(80), we get:
[tex]P''(80) = 210 - 6(80)\\P''(80) = 210 - 420\\P''(80) = -330[/tex]
Since P''(80) is negative, the critical point x = 80 corresponds to a maximum. So, selling 80 items will produce maximum profit.
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The volume of a suitcase is 8,556 Cubic
inches. It is 32 inches long and 15.5
inches high. Write an equation to
represent the width. Then find the width
of the suitcase.
To find the width of the suitcase, we need to use the formula for the volume of a rectangular prism:
Volume = Length × Width × Height
Given the volume of the suitcase as 8,556 cubic inches, the length as 32 inches, and the height as 15.5 inches, we can write the equation:
8556 = 32 × w × 15.5
Simplifying this equation, we can divide both sides by the product of 32 and 15.5:
8556 ÷ (32 × 15.5) = w
Solving for w, we get:
w ≈ 16.50 inches
Therefore, the width of the suitcase is approximately 16.50 inches.
What is the value of y in the solution to the system of equations shown?
y = 3x − 1
y = −x − 5
Answer:{y,x}={-4,-1}
Step-by-step explanation:
3.4 MIXED FACTORING
1. Utilize all of the strategies for factoring in order to factor the following polynomials.
Reminder: Combine like-terms prior to factoring.
4x^2 + 10 + x - 50 - x^2 + 4 + 11x
The factorization of the polynomial is determined as (x + 6)(x - 2).
What is the factorization of the polynomial?The factorization of the polynomial is calculated as follows;
4x² + 10 + x - 50 - x² + 4 + 11x
collecting similar terms, we will have;
3x² + 12x - 36
divide through by 3;
x² + 4x - 12
Factorize the expression as follows;
x² + 6x - 2x - 12
x (x + 6) - 2(x + 6)
(x + 6)(x - 2)
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2. Four friends have stamps, as described below.
• Samir has 60 stamps.
•Lisa has 24 times as many stamps as Samir.
Kwame has 443 stamps.
To the nearest whole number, what is the mean of the
Jake has 159 fewer stamps than Kwame.
number of stamps for these four friends?
Answer:
All of them have a combined of 2,227 Stamps
Mean: 2014
I need done asap I have 1 min
Please help me with this
Answer: 1st option
explanation: The ones that are crossed out include 1 whole number and 7 1/8 pieces. this is equal to 1 and 7/8. Then there is 3 whole 1 pieces so the answer is the 1st option
Solve for the missing side using c =
Answer:
c=12.04
Explanation:
You can use the formula given: c=√a^2+b^2
c=√8^2+9^2=√64+81=√145=12.04
i need the answer for this +explanation it had me confused
Answer:
The surface area of the square pyramid is 18 km².
Step-by-step Explanation:
What is the surface area of a square pyramid with a slant height?
The surface area of a square pyramid with a slant height can be determined by the product of the base perimeter with the slant height divided by two.
Mathematically, it can be expressed as:
Surface Area S.A = P × l/2
where;
Side length (a) = 3
Base perimeter (P) = 4a = 4(3) = 12km
Slant length (l) = 3 km
Surface Area (S.A) = 12 × (3/2)
Surface Area (S.A) = 12 x 1.5 = 18 km²
Therefore, the surface area of the same pyramid is 18 square km.
[tex]\sf SA_{Pyramid} =\boxed{\sf 27km^{2}}.[/tex]
Step-by-step explanation:We're asked to calculate the surface area (SA) of a pyramid. Surface area of a tridimensional shape isn't more than calculating the area of all of its "faces" and then adding them all together. Some of these tridimensional shapes already have equations that provide a direct calculation of this parameters, without the need to add together the area of the different parts of the shape.
There's a developed formula for directly calculating the surface area of square pyramids, but in this case it is easier to just calculate the individual areas of each face and add them all together.
1. Calculate the area of the base.This is pretty easy to calculate, as the base forms the shape of a square. Therefore, multiplying the length and width of this square will give us that area:
[tex]\sf A_{Base} =lw=3km*3km=\boxed{\sf 9km^{2}} .[/tex]
Check attached image 1 to see where we got these values from.
2. Calculate the area of one triangular face.So these faces form the sape of a triangle. Therefore, mul;tiplying their lengh by width and then dividing by 2 should give us the area.
[tex]\sf A=\dfrac{lw}{2} =\dfrac{(3km)(3km)}{2}=4.5km^{2}.[/tex]
Check attached image 2 to see where we got these values from.
This is the area of an individual triangular face of the pyramid, but we have a total of 4 faces. Hence, let's multiply this area by 4 to find the total area of all triangular faces:
[tex]4.5km^{2} *4=\boxed{\sf 18km^{2}}.[/tex]
3. Calculate the total surface area.So the total surface area, as stated at the beginning of this answer, is given by the addition of all individual areas from all the faces of the shape, so let's do just that:
[tex]\sf SA_{Pyramid} =9km^{2} +18km^{2}=\boxed{\sf 27km^{2}}.[/tex]
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Rotate 180 degrees about the origin
The rotation transformation of the quadrilateral IJKL, to obtain the quadrilateral I'J'K'L', are; I'(-2, 3), J'(0, -2), K'(-2, -3), L'(-3, 1)
What is a rotation transformation?A rotation transformation is one in which the coordinates of a geometric figure are rotated about a point.
The coordinates of the vertex points on the figure are;
J(0, 2), K(2, 3), L(3, -1), and I(2, -3)
The coordinates of the point (x, y) following a rotation of 180° about the origin are (-x, -y)
Therefore, the coordinates of the image of the figure J(0, 2), K(2, 3), L(3, -1), and I(2, -3), following a rotation about the origin are;
J(0, 2) ⇒ J'(0, -2)
K(2, 3) ⇒ K'(-2, -3)
L(3, -1) ⇒ L'(-3, 1)
I(2, -3) ⇒ I'(-2, 3)
Therefore, we get;
The coordinates of the image are; I'(-2, 3), J'(0, -2), K'(-2, -3), L'(-3, 1)
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