Answer:
a= b/2
Step-by-step explanation:
it is in internet
i need someone to help me with this problem
Answer:80
Step-by-step explanation: 3x+8=5x-40 so 2x=48 so x=24. 24*3+8=80 so our answer is 80.
Find the median and mean of the data set below: 38 , 24 , 31 , 24 , 3 , 33 , 8
The median of the data set is 24 and the mean is 23.
To find the median of the data set, we need to first put the values in order from least to greatest:
3, 8, 24, 24, 31, 33, 38
There are 7 values in the data set, so the median is the middle value. Since there are an odd number of values, the median is the fourth value, which is 24.
To find the mean of the data set, we add up all the values and divide by the number of values:
Mean = (3 + 8 + 24 + 24 + 31 + 33 + 38) / 7
Mean = 161 / 7
Mean = 23
Therefore, the median of the data set is 24 and the mean is 23.
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Suppose Δ JCD ΣΔ MAY.
Which other congruency statements are correct?
Select each correct answer.
Ο ΔDJC ΣΔΥAM
Ο ΔCJD_Δ ΑΜΥ
Ο
Ο ΔJDC ΣΔΥΜΑ
ΔDCJΔΥΑΜ
Answer:
The correct statement is: ΔJDC ≅ ΔYAM.
This is because the given statement ΔJCD ΣΔMAY tells us that ΔJCD is congruent to ΔMAY by the SAS (side-angle-side) postulate.
We can use this information to conclude that ΔJDC is congruent to ΔYAM by the CPCTC (corresponding parts of congruent triangles are congruent) theorem. Specifically, the corresponding parts that are congruent are:
Side JD of ΔJDC is congruent to side YA of ΔYAM (corresponding sides in the congruent triangles ΔJCD and ΔMAY)Side JC of ΔJDC is congruent to side YM of ΔYAM (corresponding sides in the congruent triangles ΔJCD and ΔMAY)Side DC of ΔJDC is congruent to side AM of ΔYAM (given in the statement ΔJCD ΣΔMAY)Therefore, the correct congruency statement is ΔJDC ≅ ΔYAM. The other statements are not correct.
GARDENING Saurabh is designing a rectangular vegetable garden with a stone path around it. The total area of the path is 296 square feet. Use the diagram to determine the value of x.
The total area of the path is 296 square feet, and the value of x is,
⇒ 64.2 feet.
Now, We know that;
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Based on the screenshot provided, the rectangular vegetable garden has dimensions of (x+2) feet by (x+10) feet, and there is a stone path around the garden that is 3 feet wide on all sides.
To find the value of x, we need to set up an equation using the information given.
Hence, The total area of the garden and the path is equal to the area of the outer rectangle minus the area of the inner rectangle, which is:
(x+2+2) × (x+10+2) = (x+2) × (x+10) + 296
Simplifying and solving for x, we get:
x² + 16x + 48 = x² + 12x + 20 + 296
4x = 268
x = 67
Therefore, the value of x is, 67 feet.
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Page 7) a) If A = {a, b, cids and B=(a, b, c, d,es, all elements of A are also the elements B. but again A= B. why ?
The delineation of A as a subset of B, and also the differentiation in assertion that A is not equivalent to B, can be attributed to A containing merely three elements (a, b, along with c) as opposed to B's countenance of five elements (including a, b, c, d, subsequently e).
How to explain the setAs all components of A coincidentally exist within B, one may ascertrain that A is indeed a subset of B.
However, due to B enclosing two additional elements (d, then e) which are not replete within A, we can conclusively deny that A is comparable to B.
Symbolically:
A ⊆ B (A constitutes a subset of B)
A ≠ B (A isn't analogous to B)
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Help please, view attachment below
The required, in a reflection of triangle AB ≡ A'B' and ΔABC ≡ ΔABC are true.
AB ≡ A'B': True, because a reflection conserves length, so corresponding segments are congruent.
BC < B'C': False, in general, the length of conserves is preserved under a reflection, so BC = B'C'.
Triangle BACE = triangle B'A'C': True, because a reflection also conserves shape and size, so corresponding angles and sides are congruent.
∠BCA > ∠B'C'A': False, because the measure of an angle is not preserved under a reflection.
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Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000.
The following is the setup for this hypothesis test:
$_H0: p = 0.40$_
$_Ha: p < 0.40$_
Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places.
The p-value for this hypothesis test for a proportion is 0.9319.
We are given that;
Number of employees=700
Percent=400%
Now,
Plugging these values into the formula, we get:
Z=7000.40(1−0.40)0.4357−0.40≈1.49
Since the alternative hypothesis is p<0.40, this is a left-tailed test. The p-value is the area to the left of 1.49 under the standard normal curve1. Using a normal table or a calculator, we find that:
p-value=P(Z<1.49)≈0.9319
Therefore, by percentage the answer will be 0.9319.
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3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
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Question 6 of 25
A population has a mean of 37 with a standard deviation of 9. A sample of 50
items from that population has a mean of 35.5 with a standard deviation of
11.
Which equation describes the point estimate?
Ο Α. μ = 37
B. = 37
OC.
OD.
= 35.5
= 35.5
SUBMIT
The equation that describes the point estimate of the population mean is x = 35.5
Which equation describes the point estimate?From the question, we have the following parameters that can be used in our computation:
A population has a mean of 37 with a standard deviation of 9.A sample of 50 items has a mean of 35.5 with a standard deviation of 11.As a general rule
The point estimate of the mean equals the sample mean
This means that
Point estimate = 35.5
Hence, the equation is x = 35.5
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What number is a common denominator for 5/6 and 8/9
Answer:
Step-by-step explanation:
18
18 is a mulitple of both 6 and 18
#7 What is the area of a rectangle with a length of 5 inches and a width of 2 inches? 9 #8 of
The area of the rectangle is 10 in².
We have,
Given,
Length = 5 inches
Width = 2 inches
Now,
Area of a rectangle.
= length x width
= 5 x 2
= 10 in²
Thus,
The area of the rectangle is 10 in².
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Find the surface area of the solid figure represented by the given net. 65 cm 2 250 cm 2 40 cm 2 90 cm 2
Answer:
55,500 cm².
Given:
To find the surface area of the solid figure represented by the given net, we first have to identify the shape of the figure. By analyzing the net, we can see that the figure is a rectangular prism with a length of 65 cm, a width of 40 cm and a height of 250 cm. To find the surface area of a rectangular prism, we use the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values, we get:
Steps:
2(65)(40) + 2(65)(250) + 2(40)(250) = 13,000 + 32,500 + 10,000 = 55,500 cm²
Get:
Therefore, the surface area of the solid figure represented by the given net is 55,500 cm².
Answer:
600 cm².
Step-by-step explanation:
The net provided represents a three-dimensional solid figure. The surface area of this figure can be calculated by finding the area of each individual face and adding them together. The net includes six faces, each of which have different dimensions. The areas of these faces are: 65 cm², 250 cm², 40 cm², 90 cm², 90 cm², and 65 cm². Adding them together, we get a total surface area of 600 cm². Therefore, the surface area of the solid figure represented by the given net is 600 cm².
Please calculate this...
The evaluation of the equation by expressing the terms as improper fractions indicates that the value of y is 14 2/3
y = 14 2/3What is a fraction?A fraction is an expression of a part of a whole, using two numbers, one located in the numerator, and the other in the denominator in the expression of the fraction separated by a line, known as the fraction bar.
The equation can be expressed as follows;
4 2/9 + (16 5/9 - y) = 15 1/9 - 8 7/9
The above equation comprising of fractions can be expressed using improper fractions as follows;
4 2/9 + (16 5/9 - y) = 15 1/9 - 8 7/9
38/9 + (149/9 - y) = 136/9 - 79/9 = 57/9
38/9 + 149/9 - 57/9 = y
130/9 = y
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Stephanie Fox is a 28-year-old management trainee at a large chemical company. She is single, has an annual salary of $75,000 (placing her in the 22 percent tax bracket), and her monthly expenditures come to approximately $3,500. During the past year or so, Stephanie has managed to save around $11,000, and she expects to continue saving at least that amount each year for the foreseeable future. Her company pays the premium on her $100,000 life insurance policy. Because Stephanie's entire education was financed by scholarships, she was able to save money from the summer and
part-time jobs she held as a student. Altogether, she has a nest egg of nearly $38,000, out of which she'd like to invest about $30,000. She'll keep the remaining $8,000 in a bank CD that pays 3 percent interest and will use this money only in an emergency. Stephanie can afford to take more risks than someone with family obligations can, but she doesn't wish to be a speculator; she simply wants to earn an attractive rate of return on her investments.
Critical Thinking Questions
1. What investment options are open to Stephanie?
2. What chance does she have of earning a satisfactory return if she invests her $30,000 in (a) blue-chip stocks, (b) growth stocks, (c) speculative stocks, (d) corporate bonds, or (e) municipal bonds?
3. Discuss the factors you would consider when analyzing these alternate investment vehicles.
4. What recommendations would you make to Stephanie regarding investment alternatives? Explain.
The solution is, she have in her retirement account 25 years from now is $261172.09.
Here, we have,
given data
contribute principal P = $250
employer = 50 %
employer add = $125
interest rate = 0.5 % = 0.005
time = 25 year = 300 months
to find out
how much will she have in her retirement account 25 years from now
solution
here monthly payment = 250 + 125 = $375
we will apply here amount formula that is
amount = P × (1+r)^t -1 /r × ( 1 + rate )
put here value
amount = 375 × (1+0.05)^300 -1 /0.05 × ( 1 + 0.005 )
amount = 261172.09
Hence, she have in her retirement account 25 years from now is $261172.09.
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complete question:
Stephanie is going to contribute $250 on the first of each month, starting today, to her retirement account. Her employer will provide a 50 percent match. In other words, her employer will add $125 to the amount Stephanie saves. If both Stephanie and her employer continue to do this and she can earn a monthly interest rate of .5 percent, how much will she have in her retirement account 25 years from now?
Help me read the picture
Answer:
C
Step-by-step explanation:
Answer:
B x ≤ 0
Step-by-step explanation:
A solid dot on zero means that zero is included.
The line to the left of zero with an arrowhead means that all numbers less than zero are all included.
The graph represents zero and all numbers less than zero.
The correct inequality is
B x ≤ 0
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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ہfind the unknown length in the right triangle.
Pleas
Applying the Pythagorean theorem, the length of the unknown side in the right triangle is: a ≈ 13.2.
How to Find the Unknown Side by Applying the Pythagorean Theorem?The Pythagorean theorem is expressed as:
c² = a² + b², given that a and b are small legs of the right triangle and c is the longest leg or hypotenuse facing the right angle in the triangle.
Given the following:
c = 16
b = 9
a = ?
Plug in the values:
16² = a² + 9²
a² = 16² - 9²
a = √(16² - 9²)
a ≈ 13.2
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When h=4 , j=5 , and k=−1 , the expression jkh+hj−jk equals?
When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.
To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.
An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.
The given expression is:
jkh + hj - jk
Substituting the given values of h, j, and k, we get:
jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))
Now simplify the expression
jkh + hj - jk = (-20) + 20 + 5
jkh + hj - jk = 5
Therefore, the value of jkh + hj - jk equals 5.
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100pts!! A flower garden is composed of 1/2 tulips and 3/10 of the tulips are pick.
How many pink tulips are in the garden? Type your answer like this: 1/2
There are 3/20 pink tulips in the garden
How to determine how many pink tulips are in the gardenBy determining the percentage of the garden that is made up of pink tulips.
If 3/10 of the tulips are pink and tulips account for half of the garden, the percentage of the garden that is pink tulips is:
(3/10) x (1/2) = 3/20
So, 3/20 of the garden is pink tulips.
Hence, the answer is 3/20.
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If PQRS is a Rectangle, PR = 4x - 15, and QS = 3x + 5, what is the value of x?
The value of x is 20.
Given that a rectangle PQRS has diagonals PR = 4x - 15, and QS = 3x + 5, we need to find the value of x,
Since, we know that the diagonals of a rectangle are equal,
So,
PR = QS
4x-15 = 3x+5
x = 20
Hence the value of x is 20.
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The volume of a cylinder is 171 pi cubic inches and the radius of the cylinder is 3 inches. What is the height of the cylinder?
The value of the height of the cylinder is,
⇒ h = 19 inches
We have to given that;
The volume of a cylinder is 171 pi cubic inches and the radius of the cylinder is 3 inches.
We know that;
Volume of cylinder = πr²h
Hence, We get;
⇒ 171π = π × 3² × h
⇒ 171 = 9h
⇒ h = 171 / 9
⇒ h = 19 inches
Thus,
The value of the height of the cylinder is,
⇒ h = 19 inches
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A state lotto has a prize that pays $900 each week for 20 years.
Find the total value of the prize: $
If the state can earn 5% interest on investments, how much money will they need to put into an account
now to cover the weekly prize payments?
Reminder: There are 52 weeks in a year.
The total value of the prize is $936,000.
The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.
What is the total value of the prize?The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:
= $900/week x 52 weeks/year x 20 years
= $936,000.
How much money is needed to put into the account?We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r
Plugging in the values:
PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154
PV = $900 x 657.221075423
PV = $591,498.968.
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Sadie and Andres are making fruit salads for a picnic. Sadie mixes 4 cups of melon and 3 cups of apple and Andres mixes 7 cups of melon and 5 cups of apple. Use Sadie and Andres’s proportions of melon to determine whose fruit salad will taste more melony.
Based on the percentage of melons, Andres' fruit salad will taste more Melony than Sadie's.
What is the percentage?The percentage is the quotient of the numerator and denominator.
Like ratios, percentages show the relative size of a value compared to another.
Percentages are expressed as the quotient multiplied by 100.
Sadie Andres
Cups of melon 4 7
Cups of apple 3 5
Ratios 4:3 7:5
The sum of ratios 7 12
Percentages of melon to apple:
Sadie Andres
57.14% (4/7 x 100) 58.33% (7/12 x 100)
Thus, using the percentage of melon to apple, we can conclude that Andres' fruit salads tastes 58.33% more Melony than Sadie's.
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A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
A
36°
A. 2.4 yds
B. 3.6 yds
b
C. 2.8 yds
D. 3.2 yds
3 yds
Triangle not drawn to scale
28°
C
Answer: 2.4
Step-by-step explanation: obviously not anywhere close to 3 trust
At the soccer game, Sue bought a pack of gum for 25¢ and a candy bar for $1.00.
Her little brother bought a hot dog for 75¢. What is the average cost of the items
Sue and her brother bought? (Round to the nearest penny.)
If at the soccer game, Sue bought a pack of gum for 25¢ and a candy bar for $1.00, the average cost of the items Sue and her brother bought is 67 cents.
To find the average cost of the items, we need to add up the total cost and divide by the number of items. In this case, there are three items: gum, candy bar, and hot dog.
The total cost is 25¢ + $1.00 + 75¢ = $2.00
The number of items is 3.
So, the average cost is $2.00 / 3 = $0.67 (rounded to the nearest penny).
This means that on average, each item costs 67 cents.
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The data below represents the number of runners on each cross country team in the Northern Conference. 121212, 151515, 151515, 171717, 191919, 191919, 202020, 222222, 242424 Which box plot correctly summarizes the data?
The correct box plot would have a box extending from 15 to 21, with a median line at 19, and whiskers extending from 12 to 24. So, correct option is A.
To create a box plot, we need to first find the five-number summary, which includes the minimum value, first quartile (Q₁), median, third quartile (Q₃), and maximum value.
The minimum value in the given data set is 12 and the maximum value is 24. To find the median, we need to find the middle number of the set. Since there are nine numbers in the set, the median would be the average of the fifth and sixth numbers, which is 19.
To find the first quartile (Q₁) and third quartile (Q₃), we can find the medians of the lower and upper halves of the data set, respectively. The lower half of the data set includes the numbers 12, 15, 15, 17, and 19. The median of this set is 15. The upper half of the data set includes the numbers 19, 20, 22, and 24. The median of this set is 21.
Using these values, we can create a box plot with a box extending from Q₁ to Q₃, a line in the box indicating the median, and whiskers extending from the box to the minimum and maximum values.
So, correct option is A.
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Complete question is:
The data below represents the number of runners on each cross country team in the Northern Conference. 12, 15, 15, 17, 19, 19, 20, 22, 24.
Which box plot correctly summarizes the data?
HELP ASAP PLEASE
A true-false test has 8 questions. What is the probability of guessing the correct answers to all of the questions?
A. 1/10
B. 1/16
C. 1/64
D. 1/256
Answer:
D
Step-by-step explanation:
The probability of guessing the correct answer to a true-false question is 1/2.
The probability of guessing the correct answer to all 8 questions is:
(1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2)
= 1/256
Therefore, the probability of guessing the correct answers to all 8 questions is 1/256.
The answer is D.
I hope this helps!
Terrence has a balance of $4000 on his credit cards with a 20% APR. he has decided that he will not make any other purchases on his card until he pays off the debt. he can pay $300 per month. after five months how much will he have paid in interest so far in how large will the remaining balance be?
The interest is $293.88 in interest
The remaining balance is approximately $2793.88.
How to solve for the interestMonthly Interest Rate = 0.2 / 12
Monthly Interest Rate ≈ 0.01667 (rounded)
Month 1:
Interest: $4000 * 0.01667 ≈ $66.68 (rounded)
New Balance: $4000 + $66.68 = $4066.68
Payment: $300
Remaining Balance: $4066.68 - $300 = $3766.68
Month 2:
Interest: $3766.68 * 0.01667 ≈ $62.82 (rounded)
New Balance: $3766.68 + $62.82 = $3829.50
Payment: $300
Remaining Balance: $3829.50 - $300 = $3529.50
Month 3:
Interest: $3529.50 * 0.01667 ≈ $58.86 (rounded)
New Balance: $3529.50 + $58.86 = $3588.36
Payment: $300
Remaining Balance: $3588.36 - $300 = $3288.36
Month 4:
Interest: $3288.36 * 0.01667 ≈ $54.80 (rounded)
New Balance: $3288.36 + $54.80 = $3343.16
Payment: $300
Remaining Balance: $3343.16 - $300 = $3043.16
Interest: $3043.16 * 0.01667 ≈ $50.72 (rounded)
New Balance: $3043.16 + $50.72 = $3093.88
Payment: $300
Remaining Balance: $3093.88 - $300 = $2793.88
Total = $66.68 + $62.82 + $58.86 + $54.80 + $50.72
≈ $293.88 in interest
The remaining balance is approximately $2793.88.
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The spinner below shows 5 equally sized slices. Mal spun the dial 500 times and got the following results.
The experimental probability is 1/5, or 0.20. The theoretical probability is 0.206.
What is a probability?Probability is represented as the number of ways for an event to happen over all possible outcomes.
a. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
b. For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
c. Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.
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