Answer: It is between 3 and 4.
Step-by-step explanation:
Integers are whole numbers and its opposite, for example, -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....
Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.
3.4 is slightly greater than 3 but is less than 4.
Meaning that 3.4 is between the integers 3 and 4.
Triangle ABC is similar to triangle ADE.
AB= 8CM
BC= 6CM
BD= 4CM
Work out the length of DE.
In the above mentioned similar triangles the length of DE is 5.25 cm.
What is triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.
Since triangles ABC and ADE are similar, their corresponding sides are proportional. We can use this fact to set up a proportion:
AB / AD = BC / DE
Substituting the given values, we get:
8 / AD = 6 / DE
Multiplying both sides by DE, we get:
8DE / AD = 6
Dividing both sides by 8/AD, we get:
DE = (6/8)AD
We need to find AD to solve for DE. To do this, we can use the fact that BD is an altitude of triangle ABC and triangle ADE is similar to triangle ABC. Therefore, triangle ABD is also similar to triangle ABC, and we can set up another proportion:
BD / AB = AD / AC
Substituting the given values, we get:
4 / 8 = AD / (8 + 6)
Simplifying, we get:
1/2 = AD / 14
Multiplying both sides by 14, we get:
AD = 7
Substituting this value back into the first equation, we get:
DE = (6/8)AD = (6/8)7 = 21/4 = 5.25
Therefore, the length of DE is 5.25 cm.
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Which expression is equivalent to -6(-2/3+2x)
-4-12x
-4+2x
4-12x
4+12x
Which sequence of transformations will result in an image that maps onto
itself?
• A. Rotate 180 degrees counterclockwise about the origin, and then
reflect across the x-axis.
• B. Reflect over the y-axis, and then reflect again over the y-axis.
• C. Reflect over the y-axis, and then reflect over the x-axis.
D. Rotate 180 degrees counterclockwise about the origin, and then
reflect across the y-axis.
Option D will result in an image that is rotated 180 degrees equation counterclockwise about the origin and then reflected across the y-axis, which will not map the image onto itself.
What is counterclockwise?Counterclockwise, also known as anticlockwise, is a direction of rotation that is opposite to the direction in which the hands of a clock move. It is the direction that is typically associated with the rotation of objects in the Northern Hemisphere.
counterclockwise rotation is the positive direction of rotation in a coordinate system, where the x-axis increases to the right and the y-axis increases upwards.
Option B, "Reflect over the y-axis, and then reflect again over the y-axis," will result in an image that maps onto itself.
When you reflect an image over the y-axis, the left and right sides of the image switch places. If you then reflect the already reflected image over the y-axis again, the left and right sides switch places once more, effectively returning the image to its original orientation.
Option A will result in an image that is rotated 180 degrees counterclockwise about the origin and then reflected across the x-axis, which will not map the image onto itself.
Option C will result in an image that is reflected over the y-axis and then reflected over the x-axis, which will produce an image that is flipped both horizontally and vertically and therefore not map the image onto itself.
Option D will result in an image that is rotated 180 degrees counterclockwise about the origin and then reflected across the y-axis, which will not map the image onto itself.
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Answer:
Option B i think
Step-by-step explanation:
hope this helps
Classify the quadrilateral and explain the reasoning
find the area of the shape shown below
4
2
6
2
2
2
Answer:
32 squared units
Step-by-step explanation:
The composite given in the figure consist of 3 triangles and 1 square shape.
To calculate the area of the composite shape, let's calculate area of each shape and then add all together.
==>Area of the square (Q): s²
s = 2
Area = 2² = 4 squared units
==>Area of biggest triangle (B): ½*b*h
b = 2+2+6 = 10
h = 4
Area = ½*10*4 = 5*4 = 20 squared units
==>Area of medium triangle (M): ½*b*h
b = 2
h = 6
Area = ½*2*6 = 6 squared units
==>Area of smallest triangle (S): ½*b*h
b = 2
h = 2
Area = ½*2*2 = 4/2 = 2 squared units
==>Area of composite shape = Q+B+M+S = 4+20+6+2 = 32 squared units
Answer:
32
Step-by-step explanation:
I just did the problem on khan
if 3 gay men eat 8 cheese then what is the length of pluto x the mass of the sun
but its gotta be wierd
Step-by-step explanation:
... thx for this tho
Answer: 89xy29
Step-by-step explanation:
.-. Dk
Which trig ratio will be helpful in finding the missing side length sin(24)
The sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
What is the trigonometric ratio?The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
We have a right-angle triangle in the figure in which:
Length of the hypotenuse = x unit
Length of the side opposite to the angle = 12
And the angle is given between sides adjacent to the angle to the hypotenuse = 24°
We know the:
\(\rm sin\theta = \frac{Side \ opposite \ to \ the \ angle}{hypotenuse }\)
\(\rm sin24 = \frac{12}{x}\)
\(\rm x = \frac{12}{sin24}\)
x = 29.50 units
Thus, the sin ratio will be helpful in finding the missing side length and the missing side length is 29.50 units.
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Write a recursive formula for the nth term of the sequence 5,12,19,26,....
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.
what is sequence ?A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.
given
The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).
The following is a definition of a recursive formula for the nth element of the sequence:
a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)
For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.
Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have
a_2 = a_1 + 7 = 5 + 7 = 12
a_3 = a_2 + 7 = 12 + 7 = 19
a_4 = a_3 + 7 = 19 + 7 = 26
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Help Please!!!!!!!!
Answer:
40
Step-by-step explanation:
both angles are corresponding angles which means both are equal
i.e
4x-50 = 2x+30
4x-2x = 50+30
2x = 80
x = 80/2
therefore x = 40
keep smiling
Sandy used a virtual coin toss app to show the results of flipping a coin 100 times, 500 times, and 1,000 times. Explain what most likely happened in Sandy's experiment.
Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage. Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In last five years, the market value of the house has increased by 4.8% per year 6. If she wants to sell the house today, the total transaction cost will be 5% of selling price Given the above information, please calculate the internal rate of return (IRR) of this investment in house
Can you show the math as far as formulas go?
Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.
Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.
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which two of these fractiobns are eqivelent to 1/4?
A.3/15 B.2/8 C.5/20 D.11/40
Answer:
2/8
Step-by-step explanation:
they can both be divides by two making 1/4 or multiply 1/4 by 2 and youll get 2/8
Which of the following is a unit vector perpendicular to the plane determined by the vectors A-2i+ 4j and B=i+j - k? o (-2i+ j - k) ot(+2) 0 1 (-2; - ; -1) -2i+j-k
The vector perpendicular to a plane determined by two vectors A and B can be found by taking their cross product. The unit vector perpendicular to the plane determined by the vectors A and B is (-4/√56)i + (2/√56)j + (-6/√56)k.
A x B = (-2i+4j+0k) x (i+j-k)
= (-4k + 2i + 6j)
To find a unit vector perpendicular to the plane, we need to normalize this vector by dividing it by its magnitude:
|A x B| = sqrt((-4)^2 + 2^2 + 6^2) = sqrt(56)
So, a unit vector perpendicular to the plane determined by A and B is:
(-4k + 2i + 6j) / sqrt(56)
which simplifies to:
(-2i + 3j - k) / sqrt(14)
Therefore, the answer is (-2i + 3j - k).
To find a vector perpendicular to the plane determined by vectors A and B, you need to calculate the cross product of A and B.
A = -2i + 4j
B = i + j - k
Step 1: Calculate the cross product (C) of vectors A and B:
C = (A_y * B_z - A_z * B_y)i - (A_x * B_z - A_z * B_x)j + (A_x * B_y - A_y * B_x)k
Step 2: Plug in the values of A and B:
C = (4 * (-1) - 0 * 1)i - (-2 * (-1) - 0 * 1)j + (-2 * 1 - 4 * 1)k
Step 3: Simplify the expression:
C = -4i + 2j - 6k
Step 4: Find the magnitude of C:
|C| = √((-4)^2 + 2^2 + (-6)^2) = √(16 + 4 + 36) = √56
Step 5: Divide each component of C by its magnitude to find the unit vector:
Unit vector = (-4/√56)i + (2/√56)j + (-6/√56)k
So, the unit vector perpendicular to the plane determined by the vectors A and B is (-4/√56)i + (2/√56)j + (-6/√56)k.
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The equation y-1=-7(x-3) is written in point-slope form. What is the y-intercept of the line?
-4
-2
20
22
Answer:
Step-by-step explanation:
-7(x-3)
y-1+1=-7x+21
y=-7x+22
Answer:
22
Step-by-step explanation:
22udhdjdhdhdhdhdhdhhd is the answers
Let f be the function given by f(x)=−4∣x∣. Which of the following statements about f are true? I. f is continuous at x=0. II. f is differentiable at x=0. III. f has an absolute maximum at x=0. I only II only III only I and II only I and III only II and III only
The correct statement is: I only.
I. f is continuous at x=0:
To determine if a function is continuous at a specific point, we need to check if the limit of the function exists at that point and if the function value at that point is equal to the limit. In this case, the function f(x)=-4|x| is continuous at x=0 because the limit as x approaches 0 from the left (-4(-x)) and the limit as x approaches 0 from the right (-4x) both equal 0, and the function value at x=0 is also 0.
II. f is differentiable at x=0:
To check for differentiability at a point, we need to verify if the derivative of the function exists at that point. In this case, the function f(x)=-4|x| is not differentiable at x=0 because the derivative does not exist at x=0. The derivative from the left is -4 and the derivative from the right is 4, so there is a sharp corner or cusp at x=0.
III. f has an absolute maximum at x=0:
To determine if a function has an absolute maximum at a specific point, we need to compare the function values at that point to the values of the function in the surrounding interval. In this case, the function f(x)=-4|x| does not have an absolute maximum at x=0 because the function value at x=0 is 0, but for any positive or negative value of x, the function value is always negative and tends towards negative infinity.
Based on the analysis, the correct statement is: I only. The function f(x)=-4|x| is continuous at x=0, but not differentiable at x=0, and does not have an absolute maximum at x=0.
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67% of teenagers, ages fifteen to seventeen, are concerned about their credit scores. Suppose we randomly select fifteen- to seventeen-year-old teenagers until we find one who is concerned about his/her credit score. Let X be the number of teenagers we select who are not concerned about their credit scores before we find the first teenager who is concerned . Let Y be the number of teenagers we select who are not concerned about their credit scores before the second teenager who is concerned is found.
a. What is the probability that none of the first three people are concerned about their credit scores?
b. What is the expected value of X?
c. What is the variance of X?
d. What is the probability that X = 0?
e. What is the probability that X ≤ 4?
f. What is the probability that Y = 6?
g. What is the probability that Y = 0?
The probability of the following parts is: a. 0.33 b. 1.925 c. 0.176 d. 0.67 e. 0.99955416 f. 0.018318006 g. 0.4489
a. To find out the probability that none of the first three people is concerned about their credit scores, we need to find: P(none of the first three is concerned about their credit scores)we have been given the probability that a teenager is concerned about his/her credit score is 0.67. So the probability that a teenager is not concerned about his/her credit score is 0.33. Now we can say that this is a binomial distribution since we are repeating a procedure until success is achieved. So we can use the binomial distribution to find the above probability: P(none of the first three are concerned about their credit scores) = (0.33)^3 = 0.0359375
b. The expected value of X is given by: E(X) = 1/p = 1/0.67 = 1.4925
c. Variance of X is given by: Var(X) = (1-p)/p^2 = (0.33)/(0.67)^2 = 0.176
d. Since X is the number of teenagers we select who are not concerned about their credit scores before we find the first teenager who is concerned. The probability that X = 0 is the probability that the first teenager we select is concerned about his/her credit score, which is given by: P(X = 0) = p = 0.67
e. To find out the probability that X ≤ 4, we can use the complement rule: P(X ≤ 4) = 1 - P(X > 4) = 1 - [P(X = 5) + P(X = 6) + ....... to ∞] = 1 - (1 - p)^5 = 1 - (0.33)^5 = 0.99955416
f. To find out the probability that Y = 6, we need to find: P(Y = 6)We know that for Y = 6, we need to select 7 teenagers such that the first and the second teenager we select are not concerned about their credit scores, and the third to the seventh teenager we select are concerned about their credit scores. The probability that the first and the second teenager we select are not concerned about their credit scores is given by: P(selecting 2 teenagers not concerned about their credit scores) = (0.33)^2 = 0.1089 And the probability that the third to the seventh teenager we select are concerned about their credit scores is:
P(selecting 5 teenagers concerned about their credit scores) = (0.67)^5 = 0.16806957Therefore, P(Y = 6) = P(selecting 2 teenagers not concerned about their credit scores) * P(selecting 5 teenagers concerned about their credit scores) = 0.018318006
g. To find out the probability that Y = 0, we need to select the first two teenagers who are concerned about their credit scores. P(Y = 0) = P(selecting the first two teenagers who are concerned about their credit scores) = (0.67)^2 = 0.4489.
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Please help me!
How do you simplify the expression\(: x*4^8/4^5\)
Answer:
64x
Step-by-step explanation:
Hello!
Using the exponent rule \(\frac{a^b}{a^c} = a^{b - c}\), we can simplify the fraction.
Simplify:\(x*\frac{4^8}{4^5}\)\(x* 4^{8 - 5}\) Use the exponent rule.\(x * 4^3\) Simplify the power\(x*64\) Simplify the exponent\(64x\) SimplifyThe simplified expression is 64x.
The expected completion time of a project is 40 weeks and the variance of its critical path activities is 9. what is the project completion time with a 75ertainty?
Using the normal distribution, the project completion time with a 75% certainty is of 42 weeks.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For this problem, the parameters are given as follows:
\(\mu = 40, \sigma = \sqrt{9} = 3\)
The project completion time with a 75% certainty is the 75th percentile, which is X when Z = 0.675, hence:
\(Z = \frac{X - \mu}{\sigma}\)
0.675 = (X - 40)/3
X - 40 = 3 x 0.675
X = 42.
The project completion time with a 75% certainty is of 42 weeks.
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graph y = 1/4 x I dont know how to do
(Excuse me if this doesn't make sense).
Your formula would be (4,1)
Your zero is (0,0)
To graph it:
If your y is 1, your x is 4
If your y is 2, your x is 8.
There's a video for this if my explanation and photo doesn't help
Erica brought $30.25 to the state fair. she bought a burger, a souvenir, and a pass. the burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. erica had $4.00 left over after buying these items. what was the cost of each item?
Let's break down the given information and solve the problem step by step:
Let's assume:
The cost of the burger is 'b' dollars.
The cost of the souvenir is 's' dollars.
The cost of the pass is 'p' dollars.
According to the given information:
The burger was 1/6 as much as the souvenir. This can be expressed as: b = (1/6) * s.
The souvenir cost 3/4 the cost of the pass. This can be expressed as: s = (3/4) * p.
Erica had $4.00 left over after buying these items. This can be expressed as: b + s + p + 4 = 30.25.
Now, let's solve these equations to find the cost of each item.
Substituting the value of 's' from equation 2 into equation 1:
b = (1/6) * ((3/4) * p)
b = (3/24) * p
b = (1/8) * p
Substituting the values of 'b' and 's' into equation 3:
(1/8) * p + ((3/4) * p) + p + 4 = 30.25
Multiply through by 8 to eliminate the fraction:
p + 6p + 8p + 32 = 242
15p + 32 = 242
15p = 210
p = 210 / 15
p = 14
Substituting the value of 'p' into equation 2 to find 's':
s = (3/4) * 14
s = 10.50
Substituting the value of 'p' into equation 1 to find 'b':
b = (1/8) * 14
b = 1.75
Therefore, the cost of the burger is $1.75, the cost of the souvenir is $10.50, and the cost of the pass is $14.0
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Find the greatest common factor for each problem.use the t-chart to slow?
16 and 40
Gcf:
The required GCF is 8.
The greatest common factor is that greatest number from the factors which divides the number completely.
For example take numbers 12 and 16.
The factors of 12 are 2×2×3.
And the factors of 16 are 2×2×2×2.
We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.
Here it is given to find the greatest common factor of 16 and 40.
Factors of 16 = 2×2×2×2
Factors of 40 = 2×2×2×5
We can see clearly the common factors are 2×2×2 which gives 8.
So, 8 is the greatest common factor.
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What types of things have you measured before?
Answer:
1. Room size (length * width) for carpet
2. From window top to floor for curtains
Step-by-step explanation:
indicate whether the following variables are categorical (qualitative) or quantitative. a. model of automobile b. flavor of ice cream c. religious denomination d. testscoreoutof100 e. miles per gallon of gasoline f. top three television networks g. lengthofbirthcontractioninseconds
The variable a. model of automobile is Qualitative b. flavor of ice cream is Qualitative c. religious denomination is Qualitative d. test score out of 100 is Quantitative e. miles per gallon of gasoline is Quantitative f. top three television networks is Qualitative g. length of birth contraction in seconds is Quantitative.
The Quantitative variable is defined as the variable which takes numerical value. for eg. 2mph, 90 , 34m.
The Qualitative variable is defined as the variable which takes values such as name/label etc. for eg, john , smith , Toyota ,vanilla.
According to the question
VARIABLE CATEGORY CLASSIFIED
a. model of automobile Qualitative on the basis of name
b. flavor of ice cream Qualitative on the basis of name
c. religious denomination Qualitative on the basis of name
d. test score out of 100 Quantitative on the basis of number
e. miles per gallon of gasoline Quantitative on the basis of number
f. top three television networks Qualitative on the basis of name.
g. length of birth contraction Quantitative on the basis of number.
(in seconds)
Therefore , The variable a. model of automobile is Qualitative
b. flavor of ice cream is Qualitative
c. religious denomination is Qualitative
d. test score out of 100 is Quantitative
e. miles per gallon of gasoline is Quantitative
f. top three television networks is Qualitative
g. length of birth contraction in seconds is Quantitative
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Which operations are present in the algebraic expression 3x + 2 ?
The expression 3x²+x+5 is the sum of 3 terms and coefficients are 3 and 1 therefore, Neither Joanna nor Linne is correct.
What is an algebraic expression?
An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
3x²+x+5.
According to Joanna, the entire expression is the sum of 4 terms.
and according to Linne the coefficients are 3 and 0.
Since, The expression is the sum of 3 terms:
Square power of x, x and a constant 5.
Also, the coefficient of x² is 3 and coefficient of x is 1.
Therefore, the Joanna and Lienna both are wrong.
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y+2=4(x+2) write in slope-intercept form
Answer:
y=4x+6
Step-by-step explanation:
Slope intercept form is y=mx+b.
Let us get it in that form by expanding the equation and isolating y.
y+2=4x+8
y=4x+6
I hope this helps! :)
Type the correct answer in each box. Use numerals instead of words.
A catering company offers four different vegetable options for its customers: carrots, green beans, asparagus, and a vegetable medley.
In the caterer’s experience, 15% of customers choose carrots, 35% choose green beans, 10% choose asparagus, and the remaining customers choose vegetable medley.
If the caterer uses 20 marbles in four different colors to model this situation, how many marbles would represent each vegetable option?
The number of marbles that represent each vegetable option are: carrots - 3 marbles, green beans - 7 marbles, asparagus - 2 marbles, and vegetable medley - 8 marbles.
To model the situation of the catering company, we need to use percentages to represent the number of customers who choose each vegetable option. We are given that 15% of customers choose carrots, 35% choose green beans, and 10% choose asparagus. The remaining customers, who choose vegetable medley, can be represented by subtracting the sum of the other three percentages from 100%.
To represent this situation using marbles, we can assign a certain number of marbles to each vegetable option based on the percentage of customers who choose it. For example, if we use 20 marbles in total, 15% of 20 is 3, so we can assign 3 marbles to carrots. Similarly, 35% of 20 is 7, so we can assign 7 marbles to green beans. 10% of 20 is 2, so we can assign 2 marbles to asparagus. Finally, the remaining 8 marbles would represent the customers who choose vegetable medley.
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How many solutions does this system have?
6x+3y =-12
y=-2x+4
O one
O two
O an infinite number
O no solution
Answer:
one
Step-by-step explanation:
Because I did the work and it only showed one.
find the area of each figure. PLEASE ANSWER 13 & 14
Answer:
13. 192 sq in
14. 243.375 sq in
Step-by-step explanation:
A system of linear equations is graphed below.
Which coordinate point represents the solution?
Answer:
where is graph??
Step-by-step explanation:
A monopoly player claims that the probability of getting a when rolling a six-sided die is because the die is equally likely to land on any of the six sides. Is this an example of a theoretical probability or an empirical probability? explain.
It is an illustration of theoretical probability.
Theoretical probability establishes the probability of certain events occurring.
The ratio of the entire number of conceivable possibilities to the intended outcome is known as theoretical probability.
In this case, the intended consequence is earning a 2, which is only one of the six potential possibilities. The possibility of receiving a 2 is.
Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.
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