Answer:
-17
Step-by-step explanation:
The wall street journal corporate perceptions study 2011 surveyed readers and asked how each rated the quality of management and the reputation of the company for over 250 worldwide corporations. Both the quality of mangement and the reputation of the company were rated on an excellent, good, and fair catergorical scale. Assume sample data for 200 respondents below.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
A) use a .05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
B) If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
Hello some parts of your question is missing below is the missing part
answer : A) p-value = 0.0019 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Step-by-step explanation:
A) using a 0.05 level of significance and test for independence of the quality of management
Test statistic : \(X^{2}\) ∑ ( Oi - Ei )^2 / Ei
= [(40-35)^2 / 35 ] + [(25-24.5)^2 / 24.5 ] + [(5-10.5)^2 / 10.5] + [(35-40)^2 / 40] + [(35-28)^2 / 28] + [(10-12)^2 / 12] + [ (25-25)^2 / 25 ] + [(10-17.5)^2 / 17.5 ] + [(15-7.5)^2 / 7.5] = 17.03
p-value = 0.0019
Df = 4 ,
The level of significance ( 0.05 ) > p-value ( 0.0019 )
B) There is no dependence between the two ratings
Still timed. More math needing help with, i'll double points and mark brainliest! 1. (y - 6) (y + 3) 2. (4x - 5) (x - 7) 3.(3x - 2) ( 4x - 1)
Answer:
1. y² - 3x - 18
2. 4x² - 33x + 35
3. 12x² - 11x + 2
Step-by-step explanation:
All we do with these questions are expanding the factored binomials. Use FOIL:
1. y² + 3y - 6y - 18
y² - 3y - 18
2. 4x² - 28x - 5x + 35
4x² - 33x + 35
3. 12x² - 3x - 8x + 2
12x² - 11x + 2
Answer:
1) (y-6) (y+3)
=> \(y^2+3y-6y-18\)
=> \(y^2-3y-18\)
2) (4x-5) (x-7)
=> \(4x^2-28x-5x+35\)
=> \(4x^2-33x+35\)
3) (3x - 2) ( 4x - 1)
=> \(12x^2-3x-8x+3\)
=> \(12x^2-11x+3\)
find the size of angle x 164
Note that the size of angle x = 115°. This is a problem relating to the sum of angles in a circle. See the computation below.
What is the sum of angles in a circle?The sum of angles in a circle is always equal to 360 degrees or 2π radians.
This means that the sum of the measures of the angles formed by any number of rays or line segments that meet at a common point, or vertex, and whose endpoints lie on the circle, will always add up to 360 degrees or 2π radians. This property is often used in geometry and trigonometry to solve problems involving circles and angles.
With regard to the above problem,
We are given three angles in a circle named as follows:
a) 81°
b) 164°
c) x
The above rule state that
81 + 164 + x = 360°
thus, x = 360 - 81 - 164
x = 360 -245
x = 115°
Thus the value of ∠x is 115°
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Full Question:
See attached image.
The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
how can you use pythagora's theorem to solve problems involving right-angled triangles
Using Pythagorean theorem, the length of the ladder is 10ft
What is Pythagorean Theorem?In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:
x² = y² + z²
In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.
To calculate the length of the ladder, we can write the formula as;
x² = 8² + 6²
x² = 64 + 36
x² = 100
x = √100
x = 10
The length of the ladder is 10 feet
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A parent is using a garden hose to fill up a small inflatable pool for her young child. The
pool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves the
hose in the pool for another 3 minutes before putting it away.
In this situation, the relationship between the gallons of water in the pool and the 8
minutes since the parent started filling the pool can be seen as a function.
1. In that function, which variable is independent? Which one is dependent?
Answer:
The independent is the 90 gallons and the dependent is the 8 minutes.
Hope this helps!
Step-by-step explanation:
84.4% of what number is 19.412?
Answer: 22.4402
Step-by-step explanation:
Answer:
84.4% of 23 is 19.412.
Step-by-step explanation:
Let the unknown number be x.
Now, 84.4% of x = 19.412.
∴ (84.4 ÷ 100) × x = 19.412.
By simplifying the equation,
x = (19.412 × 100) ÷ 84.4
x = 1941.2 ÷ 84.4
∴ x = 23
Thus, 84.4% of 23 is 19.412.
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Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 3 units and down 5 units of the graph of f. What is the equation of function g written in the form y = ax2 + bx + c?
A. y=x^2+10x+22
B. y=x^2+6x+4
C. y=x^2-6x+4
D. y=x^2-6x+14
Step-by-step explanation:
sorry the quality of the photos are not good budy but i tried to do best.
Here we have a problem with translations.
We will find that the correct option is C: g(x) = x^2-6x+14
We can define:
Horizontal translation:
For a general function f(x) an horizontal translation of N units is written as:
g(x) = f(x + N)
If N is positive, the shift is to the left
If N is negative, the shift is to the right.
Vertical translation:
For a general function f(x) a vertical translation of N units is written as:
g(x) = f(x) + N
If N is positive, the shift is upwards
If N is negative, the shift is downwards.
Here we know that:
Function g(x) is a transformation of f(x) = x^2
First, we apply a translation to the right of 3 units, then at the moment we have:
g(x) = f(x - 3)
Then we translate the graph down 5 units, then:
g(x) = f(x - 3) - 5
Now we can replace it by the actual function to get:
g(x) = (x - 3)^2 - 5
= x^2 - 2*3*x + 9 - 5
= x^2 - 6x + 4
Then the function is:
g(x) = x^2 - 6x + 4
Thus the correct option is C.
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Please help me in this math problem
Answer:
Step-by-step explanation: well, you will more than likely get it at least 60%-80% of the time! If this doesn't help i can try to explain in a lot more detail unless someone does for me!
solve equation of
5/2x=25/4
Answer:
x = 5/2
Step-by-step explanation:
Solve for x:
(5 x)/2 = 25/4
Hint: | Multiply both sides by a constant to simplify the equation.
Multiply both sides of (5 x)/2 = 25/4 by 2/5:
(2×5 x)/(5×2) = 2/5×25/4
Hint: | Express 2/5×5/2 as a single fraction.
2/5×5/2 = (2×5)/(5×2):
(2×5)/(5×2) x = 2/5×25/4
Hint: | Express 2/5×25/4 as a single fraction.
2/5×25/4 = (2×25)/(5×4):
(2×5 x)/(5×2) = (2×25)/(5×4)
Hint: | Cancel common terms in the numerator and denominator of (2×5 x)/(5×2).
(2×5 x)/(5×2) = (5×2)/(5×2)×x = x:
x = (2×25)/(5×4)
Hint: | In (2×25)/(5×4), divide 25 in the numerator by 5 in the denominator.
25/5 = (5×5)/5 = 5:
x = (2×5)/4
Hint: | In (2×5)/4, divide 4 in the denominator by 2 in the numerator.
2/4 = 2/(2×2) = 1/2:
Answer: x = 5/2
What is the amount or number to be divided called?
Answer:
The amount or number to be divided is called the dividend
Answer:
If I'm correct it is the divisor.
Step-by-step explanation:
For example:
8 divided by 4 equals 2. I think 4 is the divisor and the 8 is the dividend. So I think it's the divisor, and I really apologize if the answer is incorrect.
What is the common denominator of 3/4 and5/8
Answer:
the common demonator is 8.
Step-by-step explanation:
The equation x²-6x + y²+ 4y = c describes a circle. Find the y-coordinate of the center.
The y-coordinate of the center of the circle obtained by the completing the square method is; k = -2
What is the completing the square method?The completing the square method is a technique used to rewrite a quadratic expression in the form (x + p)² + q.
The equation of a circle can be written in the standard form as (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is its radius.
h = The x-coordinate of the center of the circle
k = The y-coordinate of the center of the circle
To find the y-coordinate of the center, we need to complete the square for the y-terms in the given equation. The given equation can be rewritten as x² - 6·x + y² + 4·y = c. We can group the y-terms together and complete the square as follows;
x² - 6·x + y² + 4·y = c
x² - 6·x + (y² + 4·y + 4) = c + 4
x² - 6·x + (y + 2)² = c + 4
Therefore, by comparison to the equation for a circle, (x - h)² + (y - k)² = r², we get;
- k = 2
k = -2
The y-coordinate of the center of the circle is -2
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Is f = 2 a solution to the inequality below?
f<1
yes
no
HELP PLS IM FAILINGGG
Answer: no
Step-by-step explanation: 2 is not less than 1
Answer:
No because if you plug in f with 2 it is saying 2 is less than 1 which is not true so it would be
No
The inside diameter of a randomly selected piston ring is a normally distributed random variable with mean 12 cm and standard deviation 0.04 cm. (a) What is the diameter that is exceeded by only 5% of the piston rings
Answer:
\(x=12.07\)
Step-by-step explanation:
From the question we are told that:
Mean \(\=x =12cm\)
Standard deviation \(\sigma=0.04\)
Significance level \(\alpha=5\%=0.05\)
Therefore
Confidence level \(95\%=0.95\)
From table \(P(z<1.645)=0.95\)
Generally the equation for Z-score is mathematically given by
\(z=\frac{x-\mu}{\sigma}\)
\(x=z\sigma+\mu\)
\(x=1.645*0.04+12\)
\(x=12.07\)
Give the properties for the equation x2 + y2 + 8x - 2y +15 = 0
Radius √2 4 2
Answer:
ind the center and radius of the sphere: x2 + y2 +z2-8x + 2y + 62+1 0 2) Find an equation of the sphere that passes through the point (6,-2, 3) and has center (-1,2, 1). Find the curve in which the sphere from #2 intersects the yz-plane. For #4-11, u : ? + j-2k 4) 2u +3v 5) Iv 6) uv and v-3i-2j + k 8) Ivxu 9) comp,v 10) proju 11) Find the angle between u and v 12) Find the scalar triple product of a, b, and c. If a (3, 1,2), b (-1,1,0), and c (0,0,-4) 13) Find the values of x such that (3,2, x) and (2x, 4, x) are orthogonal 14) Find two unit vectors that are orthogonal to both j + 2k and i-2j+3k 15) Find the acute angle between two diagonals of a cube 16) Find a vector perpendicular to the plane through the points A(1,0,0), B(2,0,-1) and C(1,4,3) 17) Find parametric equations for the line through (4,-1, 2) and (1, 1, 5) 18) Find parametric equations for the line through (-2, 2, 4) and perpendicular to the plane 2x-y+5z 12 19) Find an equation of the plane through (2, 1,0) and parallel to x + 4y -3z 1 20) Find an equation of the plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1). 21) Show that the planes x y-z 1 and 2x 3y + 4z 5 are neither parallel nor perpendicular. Find the angle between the planes.
what does it mean to love your country?
I'm supposed to write an essay on it but I just don't understand lolz
Answer:
not my words... used quotes
“To love your country is to desire to see it become the best version of itself, to point out its failures, to recognize how we each have been complicit in allowing its worst to persist, to work together to create a community in which every resident has all that they need — love, food, shelter, health, peace, prosperity — and are truly treated as equals in every regard.”
‘Be proud of it, but not afraid to confront its problems’
To love your country is to be proud of it, but also to not be afraid to confront its problems and work to solve them. I love our blatant freedoms, despite all of the cries of “communism,” “social justice warriors” and “cancel culture.” We are still largely free to do what we want!
Step-by-step explanation:
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
Problem 2. Steve surveys 95 people about what breakfast tacos they enjoy. The results are as follows:
• 50 people like potato and egg tacos
• 40 people like barbacoa tacos
. and 15 like both.
(1) Fill out a two-circle Venn diagram representing the results of the survey.
(2) How many people like potato and egg tacos, but not barbacoa tacos?
#
(3) How many people like barbacoa tacos, but not potato and egg tacos?
(4) How many people like neither potato and egg nor barbacoa?
Answer:
1) in the left circle, put 50-15 and label it potato and egg, in the right circle put 40-15 and label it barbacoa. in ghe middle, put 15, and label it both.
2) 35 people like only potatoe and egg tacos
3) 25 people like only barbacoa tacos
4) 5 people Don't like either tacos
Can you help on this fast 20 points
Answer: 15 Liters (15L)
Step-by-step explanation:
The constant of proportionality (also known as k), is for every bottle, there are 2.5 liters. (k = y/x)
5 / 2 = 2.5 , 12.5 / 5 = 2.5, 20 / 8 = 2.5, etc.
So, we need to multiply 6 by 2.5, 6 * 2.5 = 15
For 6 bottles, there are 15 liters
There are 16 fruits on the table. Maria has
three more than trice fruits as Jack. Paul has
one less than thrice fruit as jack. How many
fruits does each person have?
I WILL GIVE BRAINLIEST PLS HELP
Answer: distributive property
Step-by-step explanation:
hope it helps u!!
Pls mark me brainliest
Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector is used to find rock samples that may contain the valuable mineral, but it is not perfect: When applied to a rock sample, there is a 2% chance of a false negative; that is, of a negative reading given raritanium is actually present. Moreover there is a 0.5% chance of a false positive; that is, of a positive reading when in fact no raritanium is there. Assume that 13% of all rock samples contain raritanium. The detector is applied to a sample and returns a positive reading.
Required:
What is the probability the rock sample actually contains raritanium?
Answer:
0.967 = 96.7% probability the rock sample actually contains raritanium
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive reading
Event B: Contains raritanium
Probability of a positive reading:
98% of 13%(positive when there is raritanium).
0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So
\(P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175\)
Positive when there is raritanium:
98% of 13%
\(P(A) = 0.98*0.13 = 0.1274\)
What is the probability the rock sample actually contains raritanium?
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967\)
0.967 = 96.7% probability the rock sample actually contains raritanium
A new computer graphics company employs 10 programmers. The company decides to expand into digital animation and needs to transfer 3 of the programmers into the new department. How many different combinations of 3 programmers can be chosen to transfer to the new department?
A. 3
B. 30
C. 120
D. 840
There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department
How to determine the ways of selection?From the question, we have
Total number of programmers, n = 10
Numbers to programmers to select, r = 3
The number of ways of selection could be drawn is calculated using the following combination formula
Total = ⁿCᵣ
Where
n = 10 and r = 3
Substitute the known values in the above equation
Total = ¹⁰C₃
Apply the combination formula
ⁿCᵣ = n!/(n - r)!r!
So, we have
Total = 10!/(7! * 3!)
Evaluate
Total = 120
Hence, the number of ways is 120
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Someone help plzzzzz
Jack bought an automatic water bottle feeder for his cat. A
diagram of the bottle is shown below. What is the maximum
amount of water that the bottle can hold?
Hon
8.5 in
12.5
I
The maximum amount of water that the bottle can hold is 2251.77 cubic inches.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the maximum amount of water that the bottle can hold, we need to find the volume of the bottle.
The bottle is in the shape of a cylinder with a height of 12.5 inches and a radius of 8.5/2 = 4.25 inches.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Substituting the values, we get:
V = π(4.25)²(12.5)
V = 2251.77 cubic inches
Therefore, the maximum amount of water that the bottle can hold is 2251.77 cubic inches.
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Help :)))))))
And branlist wil come!!
Answer:
y * 2.5 = x
Step-by-step explanation:
y= inch
x= conversion from inch to cm
2,720 divided by 20 what’s the answer
Answer:
136
Step-by-step explanation:
2720 / 20 = 136
please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
The ice-cream shop has the following tree diagram to show the customers the
possible combinations of ice creams they sell. Justify your answer.
The total number of outcomes is given as follows:
12.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.
This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In the context of this problem, we have that the parameters are given as follows:
3 sizes.4 flavors.Hence the total number of outcomes is given as follows:
3 x 4 = 12.
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