The amount paid by the major medical policy is $3,046.40.
First, we need to calculate the covered expenses before the coinsurance feature comes into play. Since Olga's major medical policy did not cover $312 of the bill, the covered expenses will be:
Covered expenses = Total bill - Amount not covered
Covered expenses = $4,620 - $312
Covered expenses = $4,308
Next, we need to calculate the amount of the covered expenses that is subject to the coinsurance feature. Since Olga's policy has a $500 deductible, the covered expenses subject to coinsurance will be:
Covered expenses subject to coinsurance = Covered expenses - Deductible
Covered expenses subject to coinsurance = $4,308 - $500
Covered expenses subject to coinsurance = $3,808
The coinsurance feature pays 80% of the covered expenses subject to coinsurance, so the amount paid by the major medical policy will be:
Amount paid = Coinsurance rate x Covered expenses subject to coinsurance
Amount paid = 0.8 x $3,808
Amount paid = $3,046.40
Therefore, the amount paid by the major medical policy is $3,046.40.
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What is the product of the matrices Matrix with 1 row and 3 columns, row 1 negative 3 comma 3 comma 0, multiplied by another matrix with 3 rows and 1 column. Row 1 is negative 3, row 2 is 5, and row 3 is negative 2.?
Matrix with 2 rows and 1 column. Row 1 is 9, and row 2 is 15.
Matrix with 1 row and 3 columns. Row 1 is 9 and 15 and 0.
Matrix with 3 rows and 3 columns. Row 1 is 9 comma negative 9 comma 0, row 2 is negative 15 comma 15 comma 0, and row 3 is 6 comma negative 6 comma 0.
[24]
The product of the matrices is [24].
Given is a row matrix and a column matrix, we need to find the product of both,
So,
A = [-3, 3, 0]
B = [tex]\left[\begin{array}{ccc}-3\\5\\-2\end{array}\right][/tex]
Now, the product will be =
AB = [-3, 3, 0] × [tex]\left[\begin{array}{ccc}-3\\5\\-2\end{array}\right][/tex]
AB = [9 + 15 + 0]
AB = [24]
Hence the product of the matrices is [24].
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The stem-and-leaf plot displays the amount of time, in minutes, that 10 players spent practicing their serving skills for an upcoming tennis tournament.
1| 2, 2, 9
2| 0, 2, 6
3| 1, 1
4| 0
5|
6| 8
Key: 3|1
means 31
Part A: Calculate the mean, median, mode, and range for the data given. Show your work.
Part B: Should the tennis players report the mean or median value to show they are less prepared for the tournament? Explain based on the scenario.
Part(A),
The value of the mean is 27.1, the value of the mode is 12 and median is 27.5.
Part(B),
Tennis players should report the median value to show they are less prepared for the tournament.
Part A:
To calculate the mean, we need to find the sum of all the data values and divide by the total number of values:
Sum of the data = 12 + 12 + 29 + 20 + 22 + 26 + 31 + 31 + 40 + 68 = 271
Number of data values = 10
Mean = sum of the data/number of data values
Mean = 271 / 10
Mean = 27.1
Therefore, the mean time spent practicing is 27.1 minutes.
To find the median, we need to arrange the data in order from smallest to largest:
12, 12, 20, 22, 26, 29, 31, 31, 40, 68
There are 10 data values, so the median is the average of the two middle values:
Median = (26 + 29) / 2
Median = 27.5
Therefore, the median time spent practicing is 27.5 minutes.
To find the mode, we need to identify the data value that occurs most frequently. In this case, there are two modes:
Mode = 12 and 31
Therefore, the modes for the time spent practicing are 12 and 31 minutes.
To find the range, we need to subtract the smallest data value from the largest data value:
Range = largest data value - smallest data value
Range = 68 - 12
Range = 56
Therefore, the range of time spent practicing is 56 minutes.
Part B:
Based on the scenario, it is more appropriate for the tennis players to report the median value to show they are less prepared for the tournament. This is because there is one outlier value of 68, which is much larger than the other data values.
The mean is affected by outliers and may not represent the typical amount of time spent practicing for the tournament. On the other hand, the median is not affected by outliers and represents the middle value of the data set, which is a more accurate measure of the typical amount of time spent practicing.
Therefore, tennis players should report the median value to show they are less prepared for the tournament.
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ERROR ANALYSIS Describe and correct the error in finding the area of the circle. X c 12 ft A = π(12)² = 144T 452.39 ft²
The error that was made in finding the area of the circle is that diameter was used for radius. The correct area of the circle is: 113.10 ft²
What is the Area of the Circle?The formula for area of a circle is expressed as:
A = πr²
where:
A is Area
r is radius
From the given circle, we are given the diameter as 12.
But radius = diameter/2 = 12/2
radius = 6
Thus, the error is that they used the diameter as radius.
Correct area of circle = π * 6²
= 36π
= 113.10 ft²
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Quiz
2
Active
X
0
5
10
15
3
y
15
6050
10
5
6
7
8
9
10
What is the correlation coefficient for the data shown in
the table?
O 1
O-1
O5
10
TIME REMAIN
59:45
2
The correlation coefficient for the data shown in the table is: B. -1.
How to determine the correlation coefficient for the data shown?In order to calculate or determine the correlation coefficient for the data shown in the table (see attachment), we would have to determine the slope of the line based on the points as follows;
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (10 - 15)/(5 - 0)
Slope (m) = -5/5
Slope (m) = -1.
Slope (m) = (5 - 10)/(10 - 5)
Slope (m) = -5/5
Slope (m) = -1.
In this context, we can reasonably infer and logically deduce that there is a negative correlation between the data and the correlation coefficient is -1.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
match the information with the correct equation
-3x+y=-1 matches m=3, (1, 2)
-3x+y=-1 matches m=3, (1, 2) by point slope form
(5, 2)(6, 5) this matches with y=3x-13 b slope intercept form
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=3, b=2
Slope is 3 and y intercept is 2
This matches with equation y-3x=2
Now m=3, (1, 2)
Let us find equation in point slope form
y-2=3(x-1)
y-2=3x-3
-3x+y=-1
So -3x+y=-1 matches m=3, (1, 2)
(5, 2)(6, 5) this matches with y=3x-13 by slope intercept form
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carly and ramil want to draw a line on the coordinate plane that is parallel to line a. carly uses the rule multiply by 1 add 2 to generate her y coordinates. ramil uses the rule multiply by 2 and add 1 to generate his y-coordinates. which students line will be parallel to line d? without graphing the lines explain how you know
The students' line that will be parallel to line d is the line with the same slope as d
Which students line will be parallel to line d?The rules are given as
Carly uses the rule multiply by 1 add 2 to generate her y coordinates. Ramil uses the rule multiply by 2 and add 1 to generate his y-coordinatesThis means that the equations of the function are
Carly: y = x + 2
Ramil: y = 2x + 1
If the slope of line d is 1, Carly's line will be parallel to line d and if the slope of line d is 2, Ramil's line will be parallel to line d
This is because parallell lines have equal slopes
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at age 20 someone sets uo an IRA retirement account with an apr of 5% . at the end of each month he deposits $65 in the account how much will the ira conrian when he retires at age 65? Comprare
That amount to the total deposit made over
The time period
When someone aged 20 sets up an IRA retirement account with an APR of 5% and deposits $65 at the end of each month, when he retires at age 65, the account will have a future value of $131,718.42.
b) Compared to the total deposit he made over time ($35,100.00), he generated a total compounded interest of $96,618.42.
How is the future value determined?The future value can be determined using an online finance calculator, which compounds the interest at 5% over a period of 540 months or 45 years.
Number of years = 45 years (65 - 20)
N (# of periods) = 540 months (45 years x 12)
I/Y (Interest per year) = 5%
PV (Present Value) = $0
PMT (Periodic Payment) = $65
Results:
Future Value (FV) = $131,718.42
Sum of all periodic payments = $35,100.00 ($65 x 540 months)
Total Interest = $96,618.42
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pls complete a and b!
a. The error is that the two factors should be 5s and 3s-7s²+1
b. The student out to multiply the two factors if the product will be 15s²-35s³+5s
What is factorization?Factorization or factoring consists of writing a number or another mathematical object as a product of several factors.
For example, if we are given an expression , 2x +6. The expression consist of two terms and the common factor between them is 2 . Therefore we bring the 2 out . i.e 2( x+3). This means the two factors are 2 and x+3
Similarly , 15s²-35s³+5s can be factorized by bring out the common factors between the three terms
= 5s( 3s-7s²+1)
This means that the student omitted +1 and she ought to have cross checked by multiplying the two factors back if the product will be the polynomial.
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Question 10
Solve the problem. nPr Repeats on the bottom.
A committee is to be formed consisting of 4 men and 6 women. If the committee members are to be
chosen from 9 men and 9 women, how many different committees are possible?
10,584
O182,891,520
O210
O43,758
The different committees possible are 10,584. Option A is the answer.
Choosing 4 men out of 9Тhe number оf wаys tо choosе 4 men out оf 9 is givеn by 9C4, which is:
9C4 = (9!)/(4!5!)
= 126
Similаrly, the number оf wаys tо choosе 6 wоmen out оf 9 is givеn by 9С6, which is:
9С6 = (9!)/(6!3!)
= 84
So the tоtal number оf wаys tо choosе a committее consisting оf 4 men and 6 wоmen is:
126 * 84 = 10,584
Тherefore, the аnswer is (А) 10,584.
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If m26=85°, what is the measure of 23?
The measure of angle 3 is 95°
What are angles in parallel line?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
When we have two parallel lines and they are intersected by a transversal , the angles on the parallel lines are corresponding and equal.
Therefore angle 3 = angle 7
angle 7 = 180-(angle 6) (angles on a straight line)
angle 7 = 180-85
= 95°
angle 3 = angle = 7 = 95°
Therefore the value of angle 3 is 95°
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alberto sights the top of a building at an angle of elevation of 70°. if the building is 40 foot tall and alberto's eyes are 6 feet from the ground, how far is alberto from the base of the building?
Answer:
Step-by-step explanation:
17. What is the name of the shape Kimberly forms by connecting the points? Be as specific as possible.
The name of the shape Kimberly forms by connecting the points is a plane shape
The name of the shape Kimberly forms by connecting the points?From the question, we have the following parameters that can be used in our computation:
A shape is formed by connecting points
As a general rule; shapes formed by connecting points are referred to as plane shapes, and examples of them are:
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L Pretest: Unit 2
Question 16 of 45
A relation is called a function when each element in the domain is paired with
just one element from which of the following?
OA. Range
OB. Solution variables
OC. Independent variables
OD. Inputs
SUBMIT
A relation is called a function when each element in the domain is paired with just one element from the A. Range
Completing the statementFrom the question, we have the following parameters that can be used in our computation:
The incomplete definition of relation
A relation takes the form
Domain : x
Range : y
The values from the domain are then paired with the range
If these values are paired just once, then it is a function
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A. 950
B. 38
C. 30
D. 25
Answer:
C
Step-by-step explanation:
because i did it in school and got it correct sorry if im wrong any way
Graham has 1/3 of 3/4 dollar, and Frank has 3/5 of 1/2 dollar. Who has more money
Here cuz:
Frank got more cuz you see Graham has 1/3 and 3/4 and frank got 3/5 and 1/2 so he got more.
Hope This Helps Cuz!
answer for all please need this today worth 50 brianly points
a. Use the appropriate formula to find the value of the annuity.
b. Find the interest.
Periodic Deposit
$120 at the end of every six months
i Click the icon to view some finance formulas.
Rate
Time
4.5% compounded semiannually 30 years
a. The value of the annuity is $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
The esteem of the annuity is roughly $21,713.22.
The intrigued (interest) earned on the annuity is roughly $14,513.22.
How to Solve the Problem?A. To discover the esteem of the annuity, we are able utilize the equation:
PV = C * ((1 - (1 + r)^(-n)) / r)
where PV is the display esteem of the annuity, C is the intermittent store, r is the intrigued rate per period, and n is the entire number of periods.
In this case, C = $120, r = 4.5%/2 = 0.0225 (since the intrigued is compounded semiannually), and n = 2 * 30 = 60 (since there are 2 periods per year for 30 a long time).
Stepping in these values, we get:
PV = $120 * ((1 - (1 + 0.0225)^(-60)) / 0.0225) ≈ $21,713.22
In this manner, the esteem of the annuity is roughly $21,713.22.
B. The intrigued earned on the annuity would be the overall esteem of the annuity short the entire sum stored over the 30-year period. The full sum kept would be:
Add up to Stores = $120 * 2 * 30 = $7,200
So the intrigued earned would be:
Intrigued = $21,713.22 - $7,200 = $14,513.22
In this manner, the intrigued earned on the annuity is roughly $14,513.22.
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2. A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overflow?
3.A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?
4. How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with radius of 8 inches and height of 6 inches?
Part(2),
The volume of the snowcone is larger than the volume of the paper cup, the snowcone will overflow when it melts.
Part(3),
The difference in price per cubic inch is $0.0128/in³.
Part(4),
The volume of the cylinder with a radius of 8 inches and a height of 6 inches.
Part(2)
The volume of a cone is given by the formula V = (1/3)πr²h,
where r is the radius and h is the height. The volume of the snowcone is therefore V = (1/3)π(4 cm)²(12 cm) = 201.06 cubic cm.
V = (1/3)π(3 cm)²(12 cm) = 113.1 cubic cm.
Since the volume of the snowcone is larger than the volume of the paper cup, the snowcone will overflow when it melts.
Part(3)
To compare the cost per cubic inch of the two sizes of cereal boxes, we need to calculate the volume of each box and divide the cost by the volume.
The volume of the family-sized box is V = 3 in x 9 in x 12 in = 324 cubic inches.
The cost per cubic inch is therefore $6/324 in³ = $0.0185/in³.
The volume of the regular-sized box is V = 2 in x 8 in x 9 in = 144 cubic inches. The cost per cubic inch is, therefore, $4.50/144 in³ = $0.0313/in³.
The difference in price per cubic inch is $0.0313/in³ - $0.0185/in³ = $0.0128/in³.
Part(3)
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
For the cylinder with a radius of 6 inches and a height of 8 inches, the volume is V = π(6 in)²(8 in) = 904.78 cubic inches.
For the cylinder with a radius of 8 inches and a height of 6 inches, the volume is V = π(8 in)²(6 in) = 1206.37 cubic inches.
Therefore, the volume of the cylinder with a radius of 8 inches and a height of 6 inches.
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analyze the diagram below, and complete the instructions that follow
Find the unknown side length, x. Write your answer in simplest radical form.
A. 15
B. 5√10
C. 2√70
D. 4√37
The value of the length x is 2√70. Option C
How to determine the value
To determine the value of the length of the triangle, we need to consider the different trigonometric identities, they are;
sinecosinetangentcotangentsecantcosecantNow, using the Pythagorean theorem, we have;
17² = x² + 3²
Find the square values and substitute
289 = x² + 9
collect the like terms
x² = 289 - 9
Subtract the values
x² = 280
Find the square root of both sides
x = √280
Find the values
x = √4× 70
x = 2√70
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an item is prices at $71 Alfonzo bought it at a discount of 20%
PLEASE HELP ME , I NEED TO PASS !
The number of triangle that can be formed is one, with angles m∠S and m∠T derived to be 127° and 33° using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
Using the sine rule;
29/sin20° = 32°/sinT
T = (33 × sin20°)/29° {cross multiplication}
m∠T = 23 {to the nearest degree}
m∠S = 180 - (20 + 23)° {sum of interior angles of a triangle}
S = 127°
Therefore, the number of triangle that can be formed is one, with angles m∠S and m∠T derived to be 127° and 33° using the sine rule.
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A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is
orange. Determine P(not blue) if the spinner is spun once. (answer in percentage please)
Answer: Therefore, the probability of not landing on blue when spinning the spinner once is 62.5%.
Step-by-step explanation: There are 8 sections on the spinner, and 3 of them are blue. Therefore, the probability of landing on blue is:
P(blue) = 3/8 = 0.375
The probability of not landing on blue is the complement of the probability of landing on blue:
P(not blue) = 1 - P(blue) = 1 - 0.375 = 0.625
To convert this probability to a percentage, we can multiply by 100:
P(not blue) = 0.625 x 100% = 62.5%
Sydney has 1 1/5 yards of ribbon to make bows. Each bow is made from a piece of ribbon that is 2/5 yard long. How many bows can Sydney make?
Group of answer choices
2 3/5
3
2 1/5
2
The number of bows can Sydney make are 3, we get by division.
Given that Sydney has [tex]1\frac{1}{5}[/tex] yards of ribbon to make bows
Each bow is made from a piece of ribbon that is 2/5 yard long
We have to find the number of bows can Sydney make
To find this we have to divide the total length of ribbon by 2/5
[tex]1\frac{1}{5}[/tex]/(2/5)
6/5×5/2
We get 3
Hence, the number of bows can Sydney make are 3
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Pls, Help due TODAY!!
After the vertical stretch by factor 3 the function becomes g(x)=3x².
The given function is f(x)=x² is vertically stretched by the factor 3.
When we stretch a function vertically, we multiply the base function by its scale factor. Hence, we have g(x) = 3·f(x). Let’s make sure to distribute 3 to each of the term in f(x).
Here, g(x)=3×x²
g(x)=3x²
Therefore, after the vertical stretch by factor 3 the function becomes g(x)=3x².
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9.
Refer to the figure to complete the proportion.
a h
C7
O
O
h
a
The proportion when completed for the triangles is a/c = h/b
Completing the proportionFrom the question, we have the following parameters that can be used in our computation:
The right triangles
The first expression in the proportion is a/c
This proportion represents leg/hypotenuse expression
Using this as a guide, we can make use of the following proportion
h/b
So, the complete equation is a/c = h/b
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Pls help
A storage bin has the shape of a cylinder with a
conical top. What is the volume of the storage bin
Answer:
V = π(5.1^2)(7.1) + (1/3)π(5.1^2)(8.6)
= 184.671π + 74.562π
= 259.233π cubic feet
= about 814.4 cubic feet
Miss Kenny teaches a chemistry class. She finds that she has 7/8 of a pound of clay for a project. The project requires 1/6 of about how many projects can, Miss Kenny complete without running out of clay
Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
We know that,
A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:
= (7/8) ÷ (1/6)
To divide fractions, we need to invert the second fraction and multiply:
= (7/8) × (6/1)
Simplifying the fractions, we get:
(7 × 6)/(8 × 1) = 42/8 = 5 1/4
Thus, Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
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Find the area of the shaded region in the figure below if the radius of the outer circle is 14 and the radius of the inner circle is 6. Keep your answer in terms of π.
The area of "shaded-region" formed between the two circles having radius as 14 and 6, is 160π square units.
The area of region between "two-circles" can be calculated as area of the "larger-circle" minus area of "smaller-circle".
The "larger-circle" is having radius of = 14 units;
The "smaller-circle" is having radius = 6 units;
So, we can find the area of the region as:
Area = π(14)² - π(6)²;
Area = π(196 - 36),
Area = π(160),
Therefore, area of the region between the two circles is 160π square units.
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The given question is incomplete, the complete question is
Find the area of the shaded region in the figure below if the radius of the outer circle is 14 and the radius of the inner circle is 6. Keep your answer in terms of π.
Explain how to solve the equation and then check the solution.
9 = q – 4
Sample Response: Use the inverse operation to isolate the variable. Undo the subtraction of 4 by adding 4 to both sides of the equation. –4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. Check the solution by substituting 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, so 13 is the solution.
Step-by-step explanation:
–4 + 4 = 0, and 9 + 4 is 13. The solution is q = 13. check it by taking 13 for q in the original equation, and then simplify. 13 – 4 is 9 and 9 = 9 is a true statement, 13 is the answer
Find the sum of the first 6 terms of the following sequence. Round to the
nearest hundredth if
necessary.
12,
4
3
Sum of a finite geometric series:
Sn =
-
1-r
The sum of the sequence is 9828
Finding the sum of the sequenceFrom the question, we have the following parameters that can be used in our computation:
First term, a = 12
Common ratio, r = 4
The sum of a finite geometric series is
Sn = a(1 - r^n)/(1 - r)
substitute the known values in the above equation, so, we have the following representation
Sn = 12 * (1 - 4^6)/(1 - 6)
Evaluate
Sn = 9828
Hence, the sum is 9828
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