a uniform distribution is defined over the interval from 6 to 10. a. what are the values for a and b? b. what is the mean of this uniform distribution? c. what is the standard deviation? (round your answer to 2 decimal places.) d. the total area is 1.00. multiple choice yes no e. what is the probability that the random variable is more than 7? (round your answer to 2 decimal places.) f. what is the probability that the random variable is between 7 and 9? (round your answer to 1 decimal place.) g. what is the probability that the random variable is equal to 7.91?
Answers
(a) The values for a is 6 and b is 10.
(b) The mean of this uniform distribution is 8.
(c) The standard deviation is 1.1094
(d) Total area below any probability distribution curve is always 1.
(e) The probability that the random variable is more than 7 is 0.75.
(f) The probability that the random variable is between 7 and 9 is 0.5.
(g) The probability that the random variable is equal to 7.91 is 0.4775.
A uniform distribution is defined over the interval from 6 to 10.
a. We have to find the values for a and b.
X = uniform(α = 6, β = 10)
So a = 6, b = 10
b. We have to find the mean of this uniform distribution.
mean = a+b/2
mean = 6+10/2
mean = 16/2
mean = 8
c. We have to find the standard deviation.
Variance = 1/12 (b-a)^2
Variance = 1/12 (10-6)^2
Variance = 1/12 (4)^2
Variance = 1/12 *16
Variance = 1.2308
Standard deviation = √Variance
Standard deviation = √1.2308
Standard deviation = 1.1094
d. We have to check the total area is 1.00 or not.
Total area below any probability distribution curve is always 1.
e. We have to find the probability that the random variable is more than 7.
X = uniform(α = 6, β = 10)
P(X>7) = 1-P(X<7)
P(X>7) = 1-{(7-a)/(b-a)}
P(X>7) = 1-{(7-6)/(10-6)}
P(X>7) = 1- 1/4
P(X>7) = 0.75
f. We have to find the probability that the random variable is between 7 and 9.
X = uniform(α = 6, β = 10)
P(7< X <9) = 9-7/b-a
P(7< X <9) = 9-7/10-6
P(7< X <9) = 2/4
P(7< X <9) = 0.5
g. We have to find the probability that the random variable is equal to 7.91.
X = uniform(α = 6, β = 10)
P(X=7.91) = {(7.91-a)/(b-a)}
P(X=7.91) = {(7.91-6)/(10-6)}
P(X=7.91) = 1.91/4
P(X=7.91) = 0.4775
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Related Questions
Pick one of the remaining choices and explain on the lines below, why thatchoice contains two expressions that are not equivalent for any value of r.
Answers
If two expressions have the same coefficients of the variable, then the variable can be any number
For the first choice
3(3r + 3) = 9r + 9 === 1st expression
6r + 6 ===== 2nd expression
If we equate them
9r + 9 = 6r + 6
If we solve the equation we will find just one value of r
9r + 9 - 6r = 6r - 6r + 6
3r + 9 = 6
3r + 9 - 9 = 6 - 9
3r = -3
r = -1
But in the other choices, the two expressions have the same coefficients of r
Then when we equate them they will cancel each other
Then r can be any value
Because it does not affect the equation
25. a state legislator wishes to survey residents of her district to see what proportion of the electorate is aware of her position on using state funds to pay for abortions. a. what sample size is necessary if the 95% ci for p is to have width of at most .10 irrespective of p? b. if the legislator has strong reason to believe that at least 23 of the electorate know of her position, how large a sample size would you recommend?
Answers
a) To ensure a 95% confidence interval with a maximum width of 0.10, the required sample size is 97.
b) A sample size of 95 would be required to achieve a 95% confidence interval with a maximum width of 0.10.
In order to determine the necessary sample size for a 95% confidence interval with a width of at most 0.1, the state legislator needs a sample size of at least 385. If the legislator has strong reason to believe that at least 23 of the electorate know of her position, a sample size of at least 97 would be recommended.
Therefore, to ensure a 95% confidence interval with a maximum width of 0.10, the required sample size is 97 and a sample size of 95 would be needed for 95% confidence interval with a maximum width of 0.10.
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.5 Mbps. The complete list of 50 data speeds has a mean of x= 17.34 Mbps and a standard deviation of s= 20.79 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]?
Answers
a. The difference between the highest data speed (74.5 Mbps) and the mean of all 50 data speeds (17.34 Mbps) is:
74.5 - 17.34 = 57.16 Mbps
b. To find the number of standard deviations, divide the difference by the standard deviation:
57.16 / 20.79 = 2.75
So, the difference of 57.16 Mbps is 2.75 standard deviations from the mean.
Mbps known as for “Megabits per second.” This is the standard measure of “speed” or “bandwidth” on home internet connections.
It finds how many bits (units of digital information) can be transferred each second. You’ll normally see speeds ranging from 10-1,000 Mbps advertised for home internet plans.
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The length of a rectangle is 19 centimeters less than its width. Its area is 20 square centimeters. Find the dimensions of the rectangle.
Answers
The dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.
Let's denote the width of the rectangle as "w" centimeters. According to the problem, the length of the rectangle is 19 centimeters less than its width, so the length can be expressed as "w - 19" centimeters.
The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 20 square centimeter
Area = Length × Width
20 = (w - 19) × w
To solve this equation, we can expand it:
20 = \(w^2\) - 19w
Rearranging the equation to bring everything to one side:
\(w^2\) - 19w - 20 = 0
Now, we can factor the quadratic equation:
(w - 20)(w + 1) = 0
Setting each factor equal to zero and solving for "w":
w - 20 = 0 --> w = 20
w + 1 = 0 --> w = -1
Since a negative width doesn't make sense in this context, we discard w = -1.
Therefore, the width of the rectangle is 20 centimeters (w = 20).
To find the length, we substitute this value back into the expression for length:
Length = w - 19
Length = 20 - 19
Length = 1 centimeter
So, the dimensions of the rectangle are width = 20 centimeters and length = 1 centimeter.
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perform the indicated calculation. you may use a calculator. remember to round your answers according to the rules for significant figures. 138.2 km x 3.5 km
Answers
The result of Multiplying 138.2 km by 3.5 km is 483.7 km².
To perform the indicated calculation, we need to multiply 138.2 km by 3.5 km.138.2 km x 3.5 km = 483.7 km²
The result of multiplying 138.2 km by 3.5 km is 483.7 km².
When dealing with significant figures, we should consider the least precise measurement involved in the calculation, which in this case is 3.5 km (with two significant figures). Therefore, we should round the answer to the same number of significant figures, resulting in 480 km².
So, rounding according to the rules for significant figures, the result of the calculation 138.2 km x 3.5 km is approximately 480 km².
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Evaluate 4 times a number q plus 25 when q=2
Answers
Answer:
33
Step-by-step explanation:
4q + 25 = 4(2) + 25 = 8 + 25 = 33
factorize u(5v+35w)+s(-7v-49w)
Answers
Answer:
5uv+35uw+7sv-49sw
Step-by-step explanation:
u(5v+35w)+s(7v-49w)
=5uv+35uw +7sv-49sw
You need to multiply the numbers in the brackets by the number in front of the bracket.
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Find the slope and the y-intercept of the graph of the linear equation.
- 2x + y = 4
Answers
y = 2x + 4
The slope is 2
The y intercept is 4
Answer:
y=2x+4
Step-by-step explanation:
Demand and Price Elasticity Quantity Demanded Price per Period $2.50 2.25 2.00 50 1.75 1.50 100 1.25 125 1.00 150 0.75 175 0 30 200 75 Use Table: Price Elasticity. What is the price elasticity of demand (using the midpoint formula) between $2.00 and $1.75"
Answers
The price elasticity of demand (using the midpoint formula) between $2.00 and $1.75 is -0.6667
To calculate the price elasticity of demand using the midpoint formula, we need to use the following formula:
Price Elasticity of Demand = [(Q2 - Q1) / ((Q2 + Q1)/2)] / [(P2 - P1) / ((P2 + P1)/2)]
Where:
Q1 = Quantity Demanded at the initial price (P1)
Q2 = Quantity Demanded at the new price (P2)
P1 = Initial Price
P2 = New Price
Using the table given, we can see that:
At a price of $2.00, the quantity demanded is 50 units
At a price of $1.75, the quantity demanded is 100 units
Using the formula above, we can calculate the price elasticity of demand between these two prices:
Price Elasticity of Demand = [(100 - 50) / ((100 + 50)/2)] / [($1.75 - $2.00) / (($1.75 + $2.00)/2)]
= [(50 / 75) / (-0.125 / 1.875)]
= [-0.6667]
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You put money in two different accounts for one year each the total simple interest for the two accounts is $140 you earn 6% interest on the first account in which you deposited $1,000 the deposited $800 in the second account what is the annual interest rate for the second account
Answers
The annual simple interest rate for the second account is 10%.
What is simple interest?
Simple interest is a method of calculating interest on a loan or investment, where the interest is calculated only on the principal amount and does not include any interest earned on the previously accumulated interest. In other words, simple interest is a fixed percentage of the original amount, and it does not change over time.
The formula for calculating simple interest is:
I = Prt
where I is the interest, P is the principal (the original amount), r is the annual interest rate as a decimal, and t is the time in years.
Now,
Let x be the annual interest rate for the second account. Since you earned 6% interest on the first account, the simple interest earned on the first account after one year is:
0.06(1000) = 60
Similarly, the simple interest earned on the second account after one year is:
x(800)
The total simple interest earned on both accounts is $140, so we can set up the equation:
60 + x(800) = 140
Simplifying and solving for x, we get:
x(800) = 80
x = 0.1
Therefore,
the annual interest rate for the second account is 10%.
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Xenophobic Car Palace purchases late-model domestic automobiles at wholesale auctions and
sells them in Charleston and Savannah. XCP's total cost is given by
TC = 100(Qe + Qs) + (Qc + Qs)?. The demand in each city for such gems is given by
Qc= 1,000 - 2Pc and Qs = 500 - Ps. If XCP price discriminates between the two cities, how
many cars will it sell in Charleston and Savannah?
A) Qc = 100, Qs = 50
B) Qc = 50, 0s = 100
C) Qc = 75, Qs = 75
D) Qc= 100, 0s = 100
E) Qc = 50, 0s = 50
Answers
The number of cars Xenophobic Car Palace will sell in Charleston and Savannah is option D) Qc = 100, Qs = 100.
To determine the number of cars XCP will sell in Charleston (Qc) and Savannah (Qs), we need to find the quantities that maximize XCP's profit. XCP engages in price discrimination between the two cities, meaning it can charge different prices in Charleston (Pc) and Savannah (Ps) based on their respective demand curves.
Given the demand equations Qc = 1,000 - 2Pc and Qs = 500 - Ps, we can find the profit-maximizing quantities by equating marginal revenue (MR) to marginal cost (MC) for each city. MR is equal to the derivative of the demand equation with respect to quantity (Q), and MC is equal to the derivative of total cost (TC) with respect to quantity.
For Charleston, MRc = 1,000 - 4Qc, and MC = 100. Equating MRc and MC, we have:
1,000 - 4Qc = 100.
Solving for Qc, we find Qc = 100.
For Savannah, MRs = 500 - 2Qs, and MC = 100. Equating MRs and MC, we have:
500 - 2Qs = 100.
Solving for Qs, we find Qs = 100.
Therefore, the correct answer is D) Qc = 100, Qs = 100. XCP will sell 100 cars in both Charleston and Savannah to maximize its profit under price discrimination.
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Solve for x:3(2x - 7) = 4x +3
Answers
Answer: the answer is X= 12
Answer: X = 12
Step-by-step explanation:
6x - 21 = 4x + 3
get x by itself and i chose to subtract 4x on the right side
2x - 21 = 3
add 21 to both sides
2x = 24
x = 12
a 25 kgkg air compressor is dragged up a rough incline from r⃗ 1=(1.3ı^ 1.3ȷ^)mr→1=(1.3ı^ 1.3ȷ^)m to r⃗ 2=(8.3ı^ 4.4ȷ^)mr→2=(8.3ı^ 4.4ȷ^)m, where the yy-axis is vertical.
Answers
The work done in dragging the air compressor up the incline is 4,168.24 J.
What method is used to calculate work done?To solve this problem, we need to determine the work done in dragging the air compressor up the incline.
First, we need to determine the change in height of the compressor:
Δy = y2 - y1
Δy = 4.4 m - 1.3 m
Δy = 3.1 m
Next, we need to determine the work done against gravity in lifting the compressor:
W_gravity = mgh
W_gravity = (25 kg)(9.81 m/s^2)(3.1 m)
W_gravity = 765.98 J
Finally, we need to determine the work done against friction in dragging the compressor:
W_friction = μmgd
where μ is the coefficient of kinetic friction, g is the acceleration due to gravity, and d is the distance moved.
We can assume that the compressor is moved at a constant speed, so the work done against friction is equal to the work done by the applied force.
To find the applied force, we can use the fact that the net force in the x-direction is zero:
F_applied,x = F_friction,x
F_applied,x = μmgcosθ
where θ is the angle of the incline (measured from the horizontal) and cosθ = (r2 - r1)/d.
d = |r2 - r1| = √[(8.3 m - 1.3 m)² + (4.4 m - 1.3 m)²]
d = 8.24 m
cosθ = (r2 - r1)/d
cosθ = [(8.3 m - 1.3 m)/8.24 m]
cosθ = 0.888
μ = F_friction,x / (mgcosθ)
μ = F_applied,x / (mgcosθ)
μ = (F_net,x - F_gravity,x) / (mgcosθ)
μ = (0 - mg(sinθ)) / (mgcosθ)
μ = -tanθ
where sinθ = (Δy / d) = (3.1 m / 8.24 m) = 0.376.
μ = -tanθ = -(-0.376) = 0.376
F_applied = F_net = F_gravity + F_friction
F_applied = F_gravity + μmg
F_applied = mg(sinθ + μcosθ)
F_applied = (25 kg)(9.81 m/s^2)(0.376 + 0.376(0.888))
F_applied = 412.58 N
W_friction = F_appliedd
W_friction = (412.58 N)(8.24 m)
W_friction = 3,402.26 J
Therefore, the total work done in dragging the compressor up the incline is:
W_total = W_gravity + W_friction
W_total = 765.98 J + 3,402.26 J
W_total = 4,168.24 J
So the work done in dragging the air compressor up the incline is 4,168.24 J.
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part A- calculate the measure if
Part b- calculate the measure of
PLEASE HELP ME ITS DUE In 10 mins please
Answers
Answer:
Step-by-step explanation:
Part A
Since, BDFHJ is a regular pentagon,
Measure of interior angles of this pentagon = \(\frac{(n-2)\times 180}{n}\)
= \(\frac{(5-2)\times 180}{5}\)
= 108°
Since, ∠ABC ≅ ∠JBD [Vertical angles]
Therefore, m∠ABC = m∠JBD = 108°
Part B
m∠JBD + mCBD = 180° [Linear pair of angles]
108° + m∠CBD = 180°
m∠CBD = 180 - 108
m∠CBD = 72°
Similarly, m∠BDF + m∠CDB = 180°
m∠CDB + 108° = 180°
m∠CDB = 180 - 108
= 72°
In ΔCBD,
m∠BCD + m∠CDB + m∠DBC = 180°
m∠BCD + 72° + 72° = 180°
m∠BCD = 180° - 144°
= 36°
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(AAssume that we have two
events, A and&nbB)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
Answers
P(Assume that we have two events, A&B) is mutually exclusive, P(A | B) is not equal to P(A), and the events A and B independent
Probabilities are used to measure the likelihood of an event occurring.
When we have two events, A and B, that are mutually exclusive, it means that the occurrence of one event precludes the other from occurring. In this case, P(A) and P(B) measure the individual probabilities of events A and B occurring.
P(A) = 0.30 and P(B) = 0.40. Therefore, P(A | B) is the probability of event A occurring given that event B has already occurred, which is equal to 0 since event A cannot occur if event B has already happened.
P(A | B) is not equal to P(A), since P(A) measures the probability of event A occurring without considering any other events.
Since events A and B are mutually exclusive and the occurrence of one event precludes the other from occurring, they are considered independent events.
Therefore, the probability of one event occurring does not affect the probability of the other event occurring, which means they are independent events
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If ||v|| = 7 and ||w|| = 4, what are the smallest and largest possible values
of ||v − w||? What are the smallest and largest values of v · w?
Answers
The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.
The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.
In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.
When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.
On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.
Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.
The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.
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Please help meee now !!!!!
Answers
The cost of each music video is $1.99.
What are arithmetic operations?A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Given total cost of 2 music videos, a TV series and a movie is $42.95
and TV series cost 2 times as much as the movie,
cost of the movie = $12.99
cost of TV series = 2*12.99
cost of TV series = $25.98
let the cost of a video be x
so according to condition,
2x + cost of TV series + cost of the movie = $42.95
2x + 25.98 + 12.99 = 42.95
2x = 42.95 - 25.98 - 12.99
2x = 3.98
x = 3.98/2
x = $1.99
Hence the cost of a music video is $1.99.
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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?
Answers
Answer:
60%
Step-by-step explanation:
Formula:
Percentage decrease = (amount of decrease)/(original price)
✪ Solve ✪
3.85 - 1.54/3.85 x 100
2.31/3.85 x 100 = 60%
Hence, Percent decrease is 60%
~Lenvy
A poster whose area is 180 square inches, has 1 inch margin at bottom and on sides 2 inch margin at the top. What are its dimensions for which printed area is maximized?
Answers
The dimensions for which the printed area is maximized are 16.432 × 10.954 in².
let the height of the poster = x inches
area of the poster = 180 in²
thus, its width is 180/x inches.
The printed area has a height of x - 3 inches due to the 1-inch bottom margin and 2-inch top margin.
The sides have a margin of 1 inch, so the width of the printed area is:
180/x - 2
the area of printed area A is given by the formula of a rectangle,
A = height × width
A = (x-3)(180/x - 2)
A = 180 - 2x - 540/x + 6
the maximized area is when dA/dx = 0
dA/dx = - 2 - 540(- 1/x²) = 0
540/x² = 2
x = √270
hence height = √270 = 16.432 inches,
and width = 180/√270 = 10.954 inches.
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HELP PLEASE AND QUICK!
Determine the value of x in the triangle at the right.
Answers
Answer:
x = 72°
Step-by-step explanation:
This seems like a scalar triangle where 2 angles/sides are equal and the other is different.
Sum of all angles in a triangle equals 180 so using this we calculate x as follows:
\(x+x+36=180\\2x=144\\x=72\)
so value of x = 72°
Choose the coefficient closest to zero.Choose the coefficient with the least value.
Answers
To find the graph that represents an absolute value function with a coefficient of least value, we need to understand the following:
An absolute value function with a coefficient of 1 takes the form:
\(y\text{ = |x|}\)The graph of this function is shown below:
If the function is reflected across the x-axis, it becomes :
\(y\text{ = -|x|}\)Its graph is shown below:
For any absolute value function:
\(y\text{ = a|x|}\)If a > 1 , the function is stretched,
if a < 1 and a >0, the function is dilated
Using the information provided above:
The coefficient with the least value is D
The coefficient closest to zero is C
Construct the negation of the following If the school is closed the fix is widespread. (a) The flu is widespread and the school is not closed (b) If the school is not closed the flu is not widespread. (c) If the file is not widespread the school is not closed (d) The school is closed and the flu is not widespread. (e) None of the above.
Answers
The negation of "If the school is closed the fix is widespread" is (c) "If the flu is not widespread the school is not closed."
To construct the negation of the given statement, we need to negate both the antecedent and the consequent. The original statement "If the school is closed the fix is widespread" can be represented as "A -> B," where A represents the school being closed and B represents the fix being widespread.
To negate this statement, we need to negate both A and B and rearrange the sentence structure. Negating A gives us "not A" (the school is not closed), and negating B gives us "not B" (the fix is not widespread). Combining these negations, we get "not A -> not B," which can be written as "If the flu is not widespread the school is not closed."
In this negation, we are stating that if the flu is not widespread, then the school is not closed. This means that the presence of widespread flu is necessary for the school to be closed.
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HELP ME PLEASE
I WILL BRAINLIEST U
Answers
Answer:
that is corresponding
Manual Transmission Automobiles in 1980 more than 35% of cars purchased had a manual transmission (I.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 121 cars, 22 had stick shifts. Estimate the proportion of college students who drive sticks with 90% confidence. Use a graphing calculator and round the answers to at least three decimal places.
Answers
The estimated proportion of college students who drive stick shift cars is calculated with 90% confidence using sample data.
To estimate the proportion of college students who drive stick shift cars, we can use the sample data of 121 cars, out of which 22 have stick shifts. We will construct a confidence interval to estimate the true proportion. Using a graphing calculator, we can perform a proportion confidence interval calculation.
The calculator will take into account the sample size, the number of successes (cars with stick shifts), and the desired confidence level (90% in this case).
The resulting confidence interval will provide an estimate of the proportion of college students who drive stick shift cars. The answer should be rounded to at least three decimal places for accuracy.
This interval will represent a range within which we can be 90% confident that the true proportion of college students who drive stick shift cars lies.
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An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
O 2.95x+ 39.95
O 39.95x+ 2.95
O 2.95x-39.95(12)
O 295x+39.95(12)
Answers
Answer: 2.95x+39.95(12)
Step-by-step explanation:
Hi, to answer this question we have t write an expression with the information given:
The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)
Mathematically speaking:
2.95x+39.95(12)
Answer:
D-295x+39.95(12)
Step-by-step explanation:
EDG2021
Read the image below
Answers
Whole numbers: 0, 1, 2, 3, 4, …. (All Naturals, plus 0)
Integers: 0, 1, -1, 2, -2, 3, -3, …. (All Whole numbers, plus their opposites)
Rational numbers: anything that’s a fraction or integers, as long as the denominator isn’t 0. (All integers, plus all other fractions)
J captures this correctly. Rational numbers include all the other groups, Integers include whole and natural numbers, and whole numbers include natural numbers.
Plot the image of point Q under the translation (x, y) + (x - 3, y + 4).
Answers
Answer:
( 2, -1 )
Step-by-step explanation:
The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
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i need help with geometry
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Answer:
Step-by-step explanation:
60+20=80
Answer:
Step-by-step explanation:
sorry but i,m not sure
What is the solution of the inequality shown
below?
y+7≤-1
Answers
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
True or False The slope of a line can be found by finding the quotient of the change in y and the change in x.
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Answer:
false
Step-by-step explanation: