In a sample of 20 items, you found six defective. In constructing a confidence interval for the proportion of defectives, you should use: the plus four method. the large-sample interval. neither of these two methods.
To construct a confidence interval for the proportion of defectives, we should use the plus four method.
Since the sample size is 20, which is not very large, the large-sample interval is not appropriate. Instep, we ought to utilize a strategy that's suitable for little test sizes.
The plus four method is one such method that is commonly used when the sample size is small. Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
The plus four strategies may be a strategy for building a certainty interim for an extent when the test estimate is little.
To utilize this strategy, we to begin with include four fanciful perceptions to our test, two of which are flawed and two of which are not imperfect.
This increments the test estimate to 24, which permits us to utilize the typical guess to the binomial dispersion to build the certainty interim.
The equation for the certainty interim utilizing the also four strategies is:
p ± zα/2 √((p + 2) (1 - p + 2) / n + 4)
where:
p is the test extent (number of defectives/test estimate)
zα/2 is the basic esteem from the standard typical dissemination at the level of importance α/2
n is the test estimate (counting the included four nonexistent perceptions)
Therefore, to construct a confidence interval for the proportion of defectives, we should use the plus four method.
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The graph shows f(x). The absolute value function g(x) is described in the table.
The graph shows a v-shaped graph, labeled f of x, with a vertex at 0 comma 1, a point at negative 1 comma 2, and a point at 1 comma 2.
x g(x)
−4 0
−2 −2
0 −4
2 −2
4 0
If g(x) = f(x) + k, what is the value of k?
k = −5
k = −4
k = 4
k = 5
The value of k given the absolute value functions is (a) k = -5
Given that
graph = f(x)
table = g(x)
Since the vertex of the function f(x) is at (0,1), we have f(0) = 1.
Also, from the given table, we have g(0) = -4.
Therefore, if g(x) = f(x) + k, we must have g(0) = f(0) + k = 1 + k.
But we also know that g(0) = -4. Thus, we have:
1 + k = -4
Solving for k, we get:
k = -5
Therefore, the value of k is -5.
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What is the probability of rushing picking a blue shin
If in an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball, the probability of picking a red ball is approximately 0.7619, or 76.19%.
A Bernoulli experiment is a statistical experiment that has only two possible outcomes, usually referred to as success and failure. In this case, the outcomes are picking a red ball or picking a blue ball.
Let's assume that the probability of picking a blue ball is P(B), and the probability of picking a red ball is P(R). We are given that the chance of picking a red ball is 3.2 times higher than the chance of picking a blue ball. Mathematically, this can be expressed as:
P(R) = 3.2 * P(B)
We also know that the sum of the probabilities of all possible outcomes must be 1, so:
P(R) + P(B) = 1
We can use these two equations to solve for P(R):
P(R) + (1/3.2) * P(R) = 1
(4.2/3.2) * P(R) = 1
P(R) = 3.2/4.2 = 0.7619
This means that out of every 10 balls, about 7.6 will be red and 2.4 will be blue.
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Complete question is:
In an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball. What is the probability of picking the red ball?
missing number in this sequence 512;128;?;8;2
Answer:
32
Step-by-step explanation:
512 / 4 = 128
128 / 4 = 32
32 / 4 = 8
8 / 4 = 2
I hope everyone has a great day and can someone solve this will mark brainlist
y=8x-9
y=7
Answer:
x=2
Step-by-step explanation:
This is a system of equations that we can solve by using substitution.
We know that y=7. We know that y is also equal to 8x-9.
Since y is equal to both 7 and 8x-9, this must mean that 7 is also equal to 8x-9.
Let's set them equal and solve for x, like so:
[tex]y=8x-9=\\7=8x-9=\\16=8x=\\2=x[/tex]
So, x=2.
What is the equation of this circle in general form?
Responses
x2+y2−2x−6y−26=0
x squared plus y squared minus 2 x minus 6 y minus 26 equals 0
x2+y2+2x+6y−26=0
x squared plus y squared plus 2 x plus 6 y minus 26 equals 0
x² + y² + 2x + 6y + 4 = 0
x, ² +, y, ² + 2, x, + 6, y, + 4 = 0
x2+y2−2x−6y+4=0
x squared plus y squared minus 2 x minus 6 y plus 4 equals 0
The equation of this circle in general form is: (x - 1)^2 + (y - 3)^2 = 36
How to find the equation of the circle in general formTo find the equation of a circle in general form, we need to complete the square for both x and y terms.
x^2 + y^2 - 2x - 6y - 26 = 0
First, we will complete the square for x terms:
x^2 - 2x + y^2 - 6y - 26 = 0
(x - 1)^2 - 1 + y^2 - 6y - 26 = 0
(x - 1)^2 + y^2 = 27
Now, we will complete the square for y terms:
(x - 1)^2 + (y - 3)^2 = 36
Therefore, the equation of this circle in general form is: (x - 1)^2 + (y - 3)^2 = 36
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Answer:
x2+y2−2x−6y−26=0
Step-by-step explanation:
Just took the test.
Can someone check if I’m right on all of these!?
If not please correct me, I have a test tomorrow :( thank youuu <3
Results from the Simple Interest:
1. The amount Tucker will receive in interest after 5 years = $1,165.50.
2 The simple interest rate Wilson would need to make his $9,000 grow to $85,000 in 16 years = 53%.
3. The number of years it will take for $7,000 to double in an account with 2.8% simple interest = ≈36 years.
4. The ending balance after 6 years = $25,472.
How to calculate Simple interest?Using Simple interest formula: S.I. = P × R × T
Simple interest (SI) formular = Interest (I) = Principal (P) * Rate (R) * Time(T)
Given:
P= $7,400
R = 3.15% or 0.0315
T = 5 years
Plugging in the values:
Interest = ($7,400 * 0.0315 * 5)
Interest = $1,165.50
2) Using SI formular: I = P* R * T
Given:
P = $9,000
I = $85,000 - $9,000 = $76,000 (as the total cost is the principal plus interest)
T = 16 years
Plugging in the values:
$76,000 = $9,000 * Rate * 16
R = $76,000 / ($9,000 * 16)
To convert to percentage, we multiply by 100:
Rate = 0.531 * 100
Rate = 53.1%.
3) Using SI formular: I = P* R * T
Given:
P = $7,000
R = 2.8%
I = P
T = ?
Plugging in the values and solving for Time (T):
$7,000 = $7,000 * 0.028 * T
T = $7,000 / ($7,000 * 0.028) = 35.7
T ≈36 years
4. Using SI formular: I = P* R * T
Given:
P = $20,000
R = 4.56%
T = 6 years
Plugging in the values:
P = $20,000
R = 4.56% or 0.0456
T = 6 years
Ending Balance (EB) = P + (Pl * R * T)
EB = $20,000 + ($20,000 * 0.0456 * 6)
EB = $20,000 + $5,472
EB = $25,472
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The null and alternative hypotheses divide all possibilities into: Question 10 options: two sets that overlap two non-overlapping sets as many sets as necessary to cover all possibilities two sets that may or may not overlap
The null hypothesis represents the default assumption or the status quo, while the alternative hypothesis represents the alternative possibility or the hypothesis that is being tested.
These two hypotheses are mutually exclusive, meaning that if one is true, the other must be false.
The null and alternative hypotheses divide all possibilities into two non-overlapping sets.
In statistical hypothesis testing, the null and alternative hypotheses divide all possibilities into two non-overlapping sets.
These two hypotheses represent different explanations or theories about the data, and they are used to make inferences about the population from the sample data.
The null hypothesis represents the default assumption or the status quo. It states that there is no significant difference or relationship between two variables, or that the observed data is due to random chance alone. The alternative hypothesis, on the other hand, represents an alternative explanation or theory about the data.
It states that there is a significant difference or relationship between two variables, or that the observed data is not due to random chance alone.
The null and alternative hypotheses are mutually exclusive, meaning that if one hypothesis is true, the other hypothesis must be false.
They are also exhaustive, meaning that they cover all possible explanations for the observed data.
By dividing all possibilities into two non-overlapping sets, the null and alternative hypotheses allow us to make a decision about which hypothesis is more likely to be true based on the evidence provided by the sample data.
In order to test the null and alternative hypotheses, we use statistical methods to calculate the probability of obtaining the observed data if the null hypothesis were true.
This probability is called the p-value, and it represents the likelihood of obtaining the observed data or a more extreme result if there were no true effect or relationship in the population.
If the p-value is small enough, we reject the null hypothesis in favor of the alternative hypothesis.
The null and alternative hypotheses divide all possibilities into two non-overlapping sets and provide a framework for making inferences about the population based on sample data.
By testing the null hypothesis and calculating the p-value, we can make decisions about which hypothesis is more likely to be true based on the evidence provided by the sample data.
In statistical hypothesis testing, we use evidence from the data to decide whether to reject the null hypothesis in favor of the alternative hypothesis or not.
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Given the triangle below...
30°
B
79
A
What is the measure of angle B?
Answer: 71
Step-by-step explanation: to get the answer you have to know that all the angles of a triangle have to add up to 180 so therefore you add the angles they gave you and then you minus them from 180 and you get 71
Which is a better buy, 8oz of steak for
$8.50 or 14 oz of steak for $16.00?
Answer: The 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
Step-by-step explanation: To determine which is a better buy, we can calculate the unit price of each steak.
The unit price is the price per ounce of steak.
For the 8 oz steak:
Unit price = price ÷ quantity = $8.50 ÷ 8 = $1.06 per ounce
For the 14 oz steak:
Unit price = price ÷ quantity = $16.00 ÷ 14 = $1.14 per ounce
Therefore, the 8 oz steak is a better buy as it has a lower unit price at $1.06 per ounce compared to $1.14 per ounce for the 14 oz steak.
What are the coordinates of F' and G' for D(6.(2,5)) [F (3,11), G (2,8)]?
Answer: To find the coordinates of F' and G', we need to reflect points F and G across the line y = 5, since point D is located on this line.
For point F, the y-coordinate changes from 11 to -1, since the distance between the line y = 5 and point F is 6 units (2 times the distance between D and the line). Therefore, the coordinates of F' are (3,-1).
For point G, the y-coordinate changes from 8 to 2, since the distance between the line y = 5 and point G is 3 units (1.5 times the distance between D and the line). Therefore, the coordinates of G' are (2,2).
Thus, the coordinates of F' are (3,-1) and the coordinates of G' are (2,2).
Triangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.
N′(5, −2), M′(2, 1), O′(3, 3)
N′(−2, 2), M′(1, 1), O′(0, 3)
N′(1, 2), M′(−2, 1), O′(−1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)
The image vertices of N'M'O' after reflecting triangle NMO over x = -2 are N'(1, 2), M'(-2, 1), and O'(-1, 3).
What is meant by vertices?
Vertices (singular: vertex) are the points where two or more edges meet in a geometric shape or object. They are also known as corners and are a defining feature of many shapes, including polygons, polyhedra, and graphs.
What is meant by a triangle?
A triangle is a geometric shape with three sides and three angles. It is a fundamental shape in geometry and has many practical applications in mathematics, science, and engineering.
According to the given information
In this case, the line of reflection is x = -2. The distance from N's x-coordinate to the line of reflection is |-5 - (-2)| = 3. So the x-coordinate of N' is -2 + 3 = 1. The y-coordinate of N' remains the same as N's y-coordinate, so N' = (1, 2).
The distance from M's x-coordinate to the line of reflection is |-2 - (-2)| = 0. So the x-coordinate of M' is -2 + 0 = -2. The y-coordinate of M' remains the same as M's y-coordinate, so M' = (-2, 1).
The distance from O's x-coordinate to the line of reflection is |-3 - (-2)| = 1. So the x-coordinate of O' is -2 + 1 = -1. The y-coordinate of O' remains the same as O's y-coordinate, so O' = (-1, 3).
So the image vertices of N'M'O' after reflecting triangle NMO over x = -2 are N'(1, 2), M'(-2, 1), and O'(-1, 3).
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which decimal is equivalent to 125/1000?
A. 1.25
B. 0.125
C. 0.0125
D. 0.00125
Answer:
The answer to your problem is, B. 0.125
Step-by-step explanation:
Here is something that is simple so you will not forget easily.
( Just replace the numbers like how you shown in fraction )
= [tex]\frac{125}{1000}[/tex]
= 125 ÷ 1000
= 0.125
Simple but effective
0.125 is the answer.
Thus the answer to your problem is, B. 0.125
what is b equal too?[tex]441+b^{2} =3011.81[/tex]
Based on the equation 441 + b² = 3011.81, the value of b is equal to 50.7032.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.Based on the given equation, we have the following;
441 + b² = 3011.81
By subtracting 441 from both sides of the equation, we have the following:
441 + b² - 441 = 3011.81 - 441
b² = 3011.81 - 441
b² = 2570.81
b = √2570.81
b = 50.7032.
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Suppose a normal distribution has a mean of 16 and a standard deviation of 4.
A value of 26 is how many standard deviations away from the mean?
Responses
−2.5
negative 2.5
−1.5
negative 1.5
1.5
1.5
2.5
A value of 26 is 2.5 standard deviations away from the mean.
To find the number of standard deviations away from the mean, we can use the formula:
z = (x - μ) / σ
where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation.
In this case, the value we want to convert is x = 26, the population mean is μ = 16, and the population standard deviation is σ = 4. Substituting these values into the formula, we get:
z = (26 - 16) / 4 = 2.5
This means that the value of 26 is 2.5 standard deviations away from the mean. Since the z-score is positive, we know that the value of 26 is above the mean. Therefore, the answer is option D, 2.5.
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I NEED HELP ON THIS ASAP!! IT'S DUE TODAY!
The value of the functions are;
f(-4) = 1/16
f(-3) = 1/8
f(-2) = 1/4
f(-1) = 1/2
f(0) = 1
How to determine the valueIt is important to note that functions are described as equations or expressions that shows the relationship between two variables.
From the information given, we have that;
The function, f(x) = 2ˣ
To determine the value of f(x) for -4, we have to substitute the value
f(x) = 2⁻⁴
find the value
f(-4) = 1/2⁴ = 1/16
For the value of f(-3)
f(-3) =2⁻³
find the value
f(-3) = 1/2³ = 1/8
For the value of -2
f(-2) = 2⁻²
f(-2) = 1/2² = 1/4
For the value of -1
f(-1) = 2⁻¹
f(-1) = 1/2¹ = 1/2
For the value of 0
f(0) = 2⁰
f(0) = 1
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put on pair of brackets into each calculation to make it correct
a. 6×7-5 +4= 16
b. -2[tex]x^{2}[/tex]+24÷12-4=2
(a) The simplified and correct expression is (6×7)-(5 +4) = 16
(b) The simplified and correct expression is (-2x²) + (24÷12)-4 = 2
What is the simplified expression?
a. 6×7-5 +4= 16
In this calculation, we need to use brackets to ensure the correct order of operations, which is typically remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], Addition and Subtraction [from left to right]).
Without brackets, the calculation would be evaluated as follows:
6×7-5 +4 = 42-5 +4 (applying multiplication first)
= 37 +4 (applying subtraction)
= 41 (applying addition)
However, the desired result is 16. To achieve this, we can use brackets to group the addition and subtraction operations together, like this:
(6×7)-(5 +4) = 42 - 9 (applying addition within the brackets first)
= 33 (applying subtraction)
b. -2x²+24÷12-4=2
Similarly, in this calculation, we need to use brackets to ensure the correct order of operations.
Without brackets, the calculation would be evaluated as follows:
-2x²+24÷12-4 = -2x²+2-4 (applying division first)
= -2x²-2 (applying addition and subtraction)
However, the desired result is 2. To achieve this, we can use brackets to group the division and subtraction operations together, like this:
-2x²+(24÷12)-4 = -2x²+2-4 (applying division within the brackets first)
= -2x²-2 (applying addition and subtraction)
By adding brackets to each calculation to ensure the desired order of operations, we arrive at the correct results of 16 and 2, respectively.
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There are 31 students in a class. Each student was asked how many pets he has at home. The table below summarizes the data.
Based on the data, estimate the probability that a randomly selected student from this class has four or more pets at home. Round your answer to the nearest two decimal places.
The probability that a randomly selected student from this class has four or more pets at home is 4/31 ≈ 0.13 when rounded to the nearest two decimal places.
Explain probability
Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, with 0 indicating no chance and 1 indicating certainty. Probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes. It is used in many fields, including mathematics, statistics, science, and engineering.
According to the given information
Based on the data provided, there are a total of 4 students who have four or more pets at home
(0 with 4 pets + 1 with 5 pets + 2 with 6 pets + 1 with 7 pets).
Since there are a total of 31 students in the class, the probability that a randomly selected student from this class has four or more pets at home is 4/31 ≈ 0.13 when rounded to the nearest two decimal places.
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URGENT - Will also give brainliest to simple answer
Answer:
6/6=1
Step-by-step explanation:
A paper company produces 4,000 notebooks in 4 days.How many notebooks can it produce in 12 days
Answer:
12000 In 12 days
Step-by-step explanation:
12÷4=3
4000×3=12000
Following the logic shown in the proof above, describe the missing answer for "Reason 3".
A
SAS
B
AAS
C
SSA
D
ASA
Based on the given options and the information provided, the missing answer for "Reason 3" is option D, ASA.
The proof mentioned is based on the fact that the two triangles have two pairs of congruent angles and one pair of congruent sides.
This corresponds to the criteria for the ASA postulate, which states that if two triangles have two pairs of congruent angles and one pair of congruent sides, then the triangles are congruent.
Therefore, by using the ASA postulate, we can conclude that the two given triangles are congruent.
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the cheese head in the image is a triangular prism. the base of the triangle is 12 and the height of the triangle is 8 in. the 3-d is 4 in. what is the volume of the cheese head
The volume of the cheese head is 192 cubic inches.
Explain the term volume
Volume refers to the amount of space that an object or substance occupies in three dimensions. It is typically measured in units such as cubic meters or cubic feet. The volume of an object can be calculated using various formulas, depending on its shape and dimensions.
According to the given information
The volume V of a triangular prism is given by the formula:
V = (1/2) * b * h * L
In this case, the base of the triangle is 12 inches, the height of the triangle is 8 inches, and the length of the prism (depth of the 3D shape) is 4 inches. Substituting these values into the formula, we get:
V = (1/2) * 12 * 8 * 4
V = 192 cubic inches
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if jimmy had 4/9 cups of juice and his friend give him 3/9 more cups juice how many cups of juice do jimmy have
Answer: 7/9
Step-by-step explanation: 3 + 4 = 9
add the /9 = 7/9
9. Suppose a boat travels 96 miles downstream and then travels the same distance
upstream. In still water, the boat travels at a speed of 18 mph. Let x be the speed of
the current. If the total trip takes 12 hours, find the speed of the current to the
nearest whole number. Use t = . (Hint: Going downstream, the boat is going
with the current and going upstream, the boat is going against the current.) [10
points]
If the total trip takes 12 hours, the speed of the current is 1 mph.
What is speed?The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time.
The downstream trip:
distance = rate × time
96 = (18 + x) × t ( 18 + x)
The upstream trip:
distance = rate × time
96 = (18 - x) × (12 - t)
96 = (18 - x) × (12 - t)
8 = x - (x/6)t
We have two equations and two unknowns, so we can solve for x and t.
We solve for x by making t subject fomula and substituting into the equation.
Where x = 1
In conclusion, if the total trip takes 12 hours, the speed of the current is 1 mph.
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if you repeated a hypothesis test 1,900 times (in other words, 1,900 different samples from the same population), how many times would you expect to commit a type i error, assuming the null hypothesis were true, if
Answer: Assuming a significance level of 0.05 for each hypothesis test, the probability of committing a Type I error (rejecting the null hypothesis when it is actually true) in any given test is 0.05.
Therefore, the expected number of Type I errors in 1,900 hypothesis tests is:
Expected number of Type I errors = (0.05) x (1,900) = 95
So, we would expect to commit a Type I error about 95 times in 1,900 hypothesis tests, assuming the null hypothesis were true.
Step-by-step explanation:
solve these 4 problems and I will give u brainlst.
The value of the identities are;
1. sin M = 3√39/20
2. sin M = √3/5
3. sin M = 3√19/14
4. sin M = √3/2
How to determine the ratiosThe different trigonometric identities and their ratios are written as;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
From the information given, we have;
1. opposite = 3√39
Hypotenuse = 20
Then, sin M = 3√39/20
2. Opposite = 4√3
Hypotenuse = 20
sin M = 4√3/20
Divide the values
sin M = √3/5
3. The Opposite side = 3√19
Hypotenuse = 14
sin M = 3√19/14
4. Opposite = 6√3
Hypotenuse = 12
sin M = 6√3/12
Divide the values
sin M = √3/2
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At a small high school, there are 80 girls in the senior class. Some of them play basketball, some play soccer, some play both, and some play neither. The table shows the joint and marginal frequencies for the senior girls.
If you know that a girl plays soccer, what is the probability that she also plays basketball? Express your answer as a decimal. If necessary, round your answer to the nearest hundredth
If you know that a girl plays soccer, then the probability that she also plays basketball = 0.23
The correct answer is an option (c)
Let's assume that event S: a girl plays soccer
event B: a girl plays basketball
Here, the probability that the girl plays soccer would be,
P(S) = P(SB) + P(SB')
where B' means a girl does not play basketball
here, P(SB) = 0.075 and P(SB') = 0.250
So, P(S) = 0.075 + 0.250
P(S) = 0.325
We need to find the probability that a girl plays basketball knowing that she plays a soccer.
i.e., the conditional probability P(B|S)
Using formula for the conditional probability,
P(B|S) = P(BS) / P(S)
= 0.075 / 0.325
= 0.23
Therefore, the correct answer is an option (c)
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Find the complete question below.
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112. 96 for 138 miles. Carl’s cost for his truck was $142. 78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary. Y = 71 x minus 29. 82
y = 25 x minus 66
y = 0. 42 x + 71
y = 0. 42 x + 55
The equation that represents the cost of the rental truck is y = 0.42x + 71. The Option C is correct.
Which equation represents cost of rental truck?Let x be the number of miles driven
Let y be the cost of the rental truck.
We can set up a system of equations to represent the given information:
For Bob:
y = mx + b
112.96 = 138m + b
For Carl:
y = mx + b
142.78 = 209m + b
Solving for b in both equations, we get:
b = 112.96 - 138m
b = 142.78 - 209m
Setting the two expressions for b equal to each other, we get:
112.96 - 138m = 142.78 - 209m
209m - 138m = 142.78 - 112.96
71 m = 29.82
m = 0.42
Substituting m into equation for b:
b = 71.
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surface area of the triangular prism 5ft 5ft 4ft 6ft 18ft
The surface area of the triangular prism is 312 ft².
How to calculate the surface area of a prism?In order to calculate the surface area of a prism, we twice the perimeter of base of the prism to twice the area of the base of the prism
To calculate the surface area of the triangular prism in the question, we use the formula below
Formula:
S.A = bh+H(a+b+c).................. Equation 1Where:
S.A = Surface area of the triangular prismb = Base of the triangleh = Height of the trianglea,c = The other two sides of the triangleFrom the question,
Given:
b = 6 fth = 4 fta = c = 5 ftH = 18 ftSubstitute these values into equation 1
S.A = (6×4)+18(5+5+6)S.A = 24+228S.A = 312 ft²Hence, the surface area is 312 ft².
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11. What is the slope of the line y=1/2x-2
a.-2 b. -1/2
c.1/2
d. 2
ans. (c) 1/2
given line,
y = 1/2 x -2
we know that the slope form of the line is given by
y =mx+c
comparing both equations we get
m= 1/2
hence, the slope is 1/2