we have:
x = 3
y = 1
therefore the coordinates are ( 3,1 )
answer: the second one
You start at(-5, -4) you move down 1 unit and up 1 unit where do you end?
Answer:
-5,-4
Step-by-step explanation:
-5,-4
down 1 unit: -5,-3
up 1 unit: -5,-4
What is the solution to
f(x) = g(x)?
Select each correct answer.
Answer:
f(x)=g(x) is the only answer
Step-by-step explanation:
A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.
Answer:
5832
Step-by-step explanation:
Find the slope between the two points.
(4, 2) and (3, 8)
Plz help ASAP
Answer: -6
Step-by-step explanation: 8-2= 6 and 3-4= -1. So 6/-1 is -6
a) Battery life for a hand-held computer is normally distrbuted and has a population standard deviation of 3 hours. Suppose you need to estimate a confidence interval estimate at the 95% level of confidence for the mean life of these batteries. Determine the sample size required to have a margin of error of 0.253 hours. Round up to the nearest whole number.
b)The managers of a company are worried about the morale of their employees. In order to determine if a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction which has a known standard deviation of 24 points. They should sample employees if they want to estimate the mean score of the employees within 5 points with 90% confidence.
c) Suppose a department store wants to estimate the average age of the customers of its contemporary apparel department, correct to within 2 years, with level of confidence equal to 0.95. Management believes that the standard deviation is 8 years. The sample size they should take is .
(a) The required sample size is 1.96.
(b) Sample size = n = 89
(c) Sample size = n = 62
What is standard deviation?
The standard deviation in statistics is a measurement of how much a set of values can vary or be dispersed. A low standard deviation suggests that values are typically close to the set's mean, whereas a high standard deviation suggests that values are dispersed over a wider range.
(a) Population standard deviation = σ = 3
Margin of error = E = 0.253
At 95% confidence level the z is,
α = 1 - 95%
α = 1 - 0.95 = 0.05
α/2 = 0.025
Zα/2 = 1.96
sample size = n = [Zα/2* σ / E]^2
n = [1.96 * 3 / 0.253]2
n = 540.14
Sample size = n = 541
b) Population standard deviation = σ = 24
Margin of error = E = 5
sample size = n = [Zα/2* σ/ E] 2
n = [1.96 * 24 / 5]2
n = 88.51
Sample size = n = 89
c) Population standard deviation = σ = 8
Margin of error = E = 2
sample size = n = [Zα/2* σ / E] 2
n = [1.96 * 8 / 2]2
n = 61.46
Sample size = n = 62
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I need help please help me
Answer:
a. 85 m
b. 96 cm
Step-by-step explanation:
Work for (a.)
95 x 2 = 190. 360 - 190 = 170170 ÷ 2 = 85Final Answer: 85 mWork for (b.)
58 x 2 = 1165568 ÷ 58 = 96 To make sure: 96 x 58 = 5568Final Answer: 96 cmPlease give me the brainlinest answer to this problem.
The length of 4 feet to metres is 1.22 metres.
How to convert units?The units is in feet. Therefore, let's convert it to metres. The length is given as 4 feet.
Hence,
1 feet = 0.3048 metres
4 feet = ?
cross multiply
length in metres = 4 × 0.3048
length in metres = 1.2192
Therefore, the length to the nearest hundredth is 1.22 metres.
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Part II . if f(x)= x-2 and g (x)=-2x+7, what value of x makes f(x)=g(x)?
Part III. Use the substitution method to solve the system of equations. Write your answer as an ordered pair. y=x-2 and y=-2x+7
The value of x is 1/3 and y is -5/3. using substitution method.
We have,
A linear equation has one or two variables.
No variable in a linear equation is raised to a power greater than 1.
No variable is used as the denominator of a fraction.
A linear equation is defined as an equation that is written in the form of ax+by=c.
When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
CALCULATION:-
Y=x-2 -----(1)
y=-2x+7 ---------(2)
putting the value of y in the equation (2)
x-2= -2x+7
x+2x=7+2
3x=9
x=9/3
x=1/9
putting the value of X in equation(1)
Y=x-2 -----(1)
y=1/3-2
y=-5/6
Hence, The value of x is 1/3 and y is -5/3. using substitution method.
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complete question:
Use the substitution method to solve the system of equations write your answer as an ordered pair Y=x-2 and y=-2x+7
3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
\( \dfrac{\pi}{2} + \pi\)
Let consider π = 3.14
\( \dfrac{3.14}{2} + 3.14\)
\(1.57 + 3.14\)
\(4.71 \: (approx.)\)
B) GiveN:
\(2\pi - 1\)
Here also, let's consider the value be 3.14
\(2 \times 3.14 - 1\)
\(6.28 - 1\)
\(5.28 \: (approx.)\)
C) GiveN:
\(4 \sqrt{2} \)
Let's consider the value of √2 be 1.414
\(4 \times 1.414\)
\(5.6516 \: (approx.)\)
D) GiveN:
\(8 - \sqrt{3} \)
Let's consider the value of √3 be 1.732
\(8 - 1.732\)
\(6.268 \: (approx.)\)
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
Find KL using the concurrency of median theorem
Note that from the information provided, KL is 24. This is solved using the Centroid Theorem.
What is the rationale for the above response?
According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the midpoint of the sides.
From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem, thus,
⅔ of KL = LP
LP = 16
Plug in the value of LP
⅔ (KL) = 16
Multiply both sides by 3
2(KL) = 3*16
2(KL) = 48
Divide both sides by 2
KL = 48/2
Thus,
KL = 24
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If 77 is added to a number, the result is 43 less than three times the number. Find the number.
Answer:
If 63 is added to a number, the result is 43 less than three times the number. Find the number.
Step-by-step explanation:
1. Which set of ordered pairs DOES NOT represent a function?
a. (0, 1), (2,3), (3,4), (5,6)
b. (1, 1), (2, 2), (3,3), (4,4)
c. (1,4), (1, 5), (1,6), (1,8)
d. (0,7), (2, 4), (4,7), (5,7)
Answer:
C.
Step-by-step explanation:
because x value cannot be repeated in an ordered pair
What is the meaning of "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un"?
The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.
What does the phrase imply?When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.
The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.
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What is the least number of 6 digits
\( Answer \)
\( 100000\)
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(-8,-7) and (-6,2)
*Click twice to draw a line. Click a segment to erase it.
The triangle has a hypothenuse 9.21 units and the graph it's attached below
Distance Between Two PointsThe distance between any two points is the length of the line segment joining the points. There is only one line passing through two points. So, the distance between two points can be calculated by finding the length of this line segment connecting the two points.
The formula of distance between two points is given as
d = √(y₂ - y₁)² + (x₂ - x₁)²
The two points are
(-8, -7)(-6, 2)Substituting the values into the formula above;
d = √(2 -(-7))² + (-6-(-8))²
d = √85
d = 9.21 units
The hypothenuse of the triangle is 9.21 units
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Write an expression that represents the area of just the portrait (white rectangle)
the area of the rectangle will be 1.5w².
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.
Area of rectangle is A = a*b
The given length of the rectangle is w
The width will be 1.5w
So the rectangle of the white figure is Area = w*1.5w = 1.5 w²
hence the area of the rectangle will be 1.5w².
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URGENT!!!!!!!!
The diameter of circle P is 12 inches. The diameter of circle S is 16 inches. Anise wants to find the difference between the circumference of the circles.
Which two statements are true? \
Select TWO correct answers.
A The circumference of circle P is about 24π
inches.
B The circumference of circle S is about 50.24 inches.
C The difference between the circumferences of the two circles is 12.56 inches.
D The circumference of circle S is about 8π
inches.
E The circumference of circle P is about 75.36 inches.
F The difference between the circumferences of the two circles is 28π
inches.
Answer:
The answer are
B and C
Step-by-step explanation:
r=d/2=12/2=6
r=16/2=8
Circumference=2pir
C=2×6pi
C=12pi
C=2pir
C=2×8pi
C=16pi
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
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Factor 4z² + 4z – 3.
Answer:
4z²+6z-2z-3
=2z(2z+3)-(2z+3)
=(2z+3)(2z-1)
Answer:
(2z-1) (2z+3)
Step-by-step explanation:
4z² + 4z – 3.
=> Factor out 2z from 4z²-2z:
-> 2z(2z-1)
=>Factor out 3z from 6z-3:
-> 3(2z-1)
-> 2z(2z-1)+3(2z-1)
=> Factor out common term 2z-1
-> (2z-1) (2z+3)
3. Find the equation of a line passing through the two points (4, 2) and (-3, 1).
The equation of the line passing through the two points (4,2) and (-3,1) is 7y-x-10=0
What is equation of a line?Equation of a line is an algebraic form of showing the set of points, which together forms a line in a coordinate system.
Given the line passes through the points (4,2) and (-3,1)
Here, x1=4, y1=2, x2=-3, y2=1
So, the slope of the line (m)= \(\frac{y2-y1}{x2-x1}\\\)=\(\frac{1-2}{-3-4}\\\)=\(\frac{1}{7}\)
Now we know, the equation of the line is given as,
y-y1=m(x-x1)
Putting the value of y1 and x1 in the equation we get,
y-2=\(\frac{1}{7}\)(x-4)
7y-14=x-4
7y-x-10=0
Hence the equation of the line that passes through the two points (4,2) and (-3,1) is 7y-x-10=0.
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A bacteria culture is started with 300 bacteria. After 4 hours, the population has grown to 500 bacteria. If the population grows exponentially. How long does it take for the culture to triple in size?
Answer:
12 hours
Step-by-step explanation:
the culture was first 300
the it grew to 500 in 4 hours
so that means it grew by 200 in 4 hours
and the triple it size is 900
you say;
if 200 =4 hours what about 600
=12 hours
during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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find x and y please explain really well
Answer:
x=10,y=120
Step-by-step explanation:
3x-30=60 CDA
3x=30
x=10
again,
y+60=180 straight line
y = 120
what is the volume2Q
Answer:
172 ft^3
Step-by-step explanation:
Treat the whole thing as a slid....then subtract the cut out part
8 x 6 x 4 - 2 x 5 x 2 = 172 ft^3
Let X and Y be discrete random variables and let a and b be constants Which of the following is. FALSE? (a) mean (X + Y) = mean (X) + mean (Y).
The false statement regarding the discrete random variables are given as follows:
e) If X and Y are independent, then mean(X/Y) = mean(X)/mean(Y).
How to calculate the expected value of a distribution?The expected value of a discrete distribution is calculated as the sum of all outcomes multiplied by it's respective probability.
This means that:
When two variables are added/subtracted, the mean is the addition/subtraction of the means.When a variable is multiplied by a constant, the mean is multiplied by the constant.However, when two variables are divided, we can't just divide the means, meaning that statement E is false.
For example, if the mean of distribution Y is zero, and we want to find the mean of the distribution (X/Y), the division mean(X)/mean(Y) would be undefined.
Missing InformationThe options are given by the image shown at the end of the answer.
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Please draw the number line and show me if possible:)
The solution to the given inequality expression is expressed as x ≥ 6
Solving inequalitiesGiven the inequality expression shown below;
5x-9/7≥3
Cross multiply
(5x -9)≥7(3)
Expand
5x-9≥21
Add 9 to both sides
5x ≥ 21 + 9
5x ≥ 30
x ≥6
The solution to the given inequality expression is expressed as x ≥ 6
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1 2/3 divided by 1 1/4
1 2/3 = 5/3
1 1/4 = 5/4 -----------> flip this one to make it multiplication
5/3*4/5 = 5*4 / 3*5 = 20/15 = 4/3 = 1 1/3
Answer: 1 1/3 or 4/3 as an improper fraction
Step-by-step explanation: keep, change, flip :D lol
what is the value of x?
please help!!
Answer: 20
Step-by-step explanation:
Question on pic thank you
Answer:
9 + c
Step-by-step explanation:
for example u have 9 apples and ur friend has "c" apples. ur friends gives u his/her apples.