Step-by-step explanation:
to be a function every value of x must have exactly one value of y.
in other words, if you create a vertical line and move it across the whole chart (e.g. from left to right), this line must not even once intersect the function curve more or less than once.
so, this is clearly a given here. yes, it is a function.
the domain is the interval or set of all valid x (input) values. and that starts on the right with x = 5 (included in the function indicated by the filled dot). and it goes endlessly to the left. that means -infinity (but not included as "infinity" is only a symbol but not a number).
-infinity < x <= 5
the range is the interval or set of all valid y (function result) values.
and that starts on the top with y = 2 (included). and it goes endlessly down. that means again -infinity (not included).
-infinity < y <= 2
15 POINTS!!!
Based on a life insurance company's past data, each year an average of 1/90 policy holders
make a claim of $250; 1/100 policy holders make a claim of $12,000, and 1/400 make a claim
of $17,000. What would the insurance company have to charge per policyholder to break
even?
Answer:
1. The expected pay-out on each policy is 250 * 1/90 + 12000 * 1/100 + 17000 * 1/400 = $165. So that's what the premium would have to be in order to get a profit of 0.
2. The profit per policy is the premium the company receives minus the expected payout = 350 - 165 = $185.
3. The expected profit on 375 policies would be 375 * 185 = $69375
Step-by-step explanation:
Please help me I’m failing!!!
Question 8 (1 point)
A real estate agent received a 5.5% commission on the sale of a home. If her
commission was $14,960, how much did the home sell for?
The amount of the sale of the home is $2090181.82
How to determine how much the home sells for?From the question, we have the following parameters that can be used in our computation:
Commission = 5.5% on the sale of a home
Also, we have
Commission = 114960
using the above as a guide, we have the following:
5.5% on the sale of a home = 114960
So, we have
5.5% * sale of a home = 114960
Divide both sides by 5.5%
sale of a home = 114960/(5.5%)
Evaluate
sale of a home = 2090181.82
Hence, the sale of the home is $2090181.82
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a) In a certain lottery game you choose a set of six numbers out of 45 numbers. Find the probability that none of your numbers match the six winning numbers. (4 pts)
b) An experiment consists of picking at random a bit string of length four. Consider the following events:
E: the bit string chosen begins with 01;
E2: the bit string chosen ends with 10.
Determine whether E, and E₂ are independent. Show your work. (6 pts)
a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:
(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361
hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.
b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.
The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).
The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.
The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.
To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:
P(E and E2) = P(E) x P(E2)
Substituting the probabilities we have calculated, we get:
1/8 = (1/4) x (1/4)
Since this equation is true, we can conclude that events E and E2 are independent.
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find the slope of the line that passes through the points (3,0) and (-11,-15) ✨
Answer:
m=15/14
Step-by-step explanation:
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answer:
A the answer is A ^w^ hope this helps
Determine the equation of the parabola that opens to the right, has focus (-1, -3), and a focal diameter of 8.
The equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)
To determine the equation of a parabola that opens to the right, has a focus at (-1, -3), and a focal diameter of 8
we can use the standard form of the equation for a parabola with a horizontal axis:
(x - h)² = 4p(y - k)
Where (h, k) is the vertex of the parabola and p is the distance from the vertex to the focus.
Since the parabola opens to the right, the vertex will be to the left of the focus.
Therefore, the vertex will be at (-1 - p, -3).
The focal diameter is given as 8, which means the distance between the vertex and the focus is p = 8/2 = 4.
Plugging these values into the equation, we have:
(x - (-1 - 4))² = 4 × 4 × (y - (-3))
Simplifying:
(x + 5)² = 16(y + 3)
x² + 10x + 25 = 16y + 48
Rearranging to isolate y:
16y = x² + 10x + 25 - 48
16y = x² + 10x - 23
Dividing by 16:
y = (1/16)x² + (10/16)x - (23/16)
Therefore, the equation of the parabola that opens to the right, has a focus (-1, -3), and a focal diameter of 8 is y = (1/16)x²+ (10/16)x - (23/16)
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suppose that a sphere passes through the point and has center . (a) find the distance between the points and
The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.
To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:
d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)
where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.
In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.
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Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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A car travels an average speed of 45km per hour. What distance does it cover in 12 hours?
Answer:
540 kilometers
Step-by-step explanation:
The car travels 45 kilometers every 1 hour.
In 12 hours, 45 × 12 = 540
The car will have covered a distance of 540 kilometers.
If car travels an average speed of 45km per hour, the car covers a distance of 540 kilometers in 12 hours.
To calculate the distance covered by the car in 12 hours, we can use the formula:
Distance = Speed × Time
Given that the average speed of the car is 45 km per hour and it travels for 12 hours, we can plug these values into the formula:
Distance = 45 km/h × 12 hours
Distance = 540 km
The formula for calculating distance is straightforward: it multiplies the speed (rate of motion) by the time taken. In this case, the car travels at a constant speed of 45 km/h, which means it covers 45 kilometers every hour.
By traveling for 12 hours, it accumulates a total distance of 540 kilometers. This calculation is useful for determining how far an object, in this case, a car, will travel given its speed and the duration of its journey.
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Find the equation of the linear function represented by the table below in slope-intercept form.
x y
1 0
2 1
3 2
4 3
Answer:
y=1x-1
Step-by-step explanation:
find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 6.
Answer:
5
Step-by-step explanation:
2
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
Zahra opens a savings account with an initial balance of $450 and saves $50 each month. Celine opens a savings account with an initial balance of $100 and saves $100 each month.
1. Write a system of equations representing this scenario.
Answer: How much money would Zahra have in 5 months if she has $450 in her bank account and puts in $50 each month?
Step-by-step explanation:
Answer:
Step-by-step explanation:
450-50=400$
50(12)= Saved 600$
Spent 4,800
100-100=0
Saved 1,200
If these cylinders and prisms were broken into two separate groups, what would be an equivalent ratio to 8/2? i dont have much longer and btw it doesn't have a picture.
100 points?
The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.
We have,
Cylinder and prism.
Here we have to find the equivalent ratio to 8/2.
First simplifying the given ratio as
8/2
= (4 x 2)/2
= 4 /1
Now, some more ratios equivalent to 8/2.
1. 8/2 x 3/3 = 24/ 6
2. 8/2 x 4/4 = 32/8
3. 8/2 x 6/6= 48/12
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Table of grams and ounces
A 2-column table with 5 rows. Column 1 is labeled Grams, x with entries 1, 2, 3, 4, 5. Column 2 is labeled Ounces, y with entries 0.035, 0.07, 0.105, 0.14, 0.175.
Choose the equation and description for the relationship given in the table.
Answer:
B) y = 0.035x. There are 0.035 ounces in every gram.Determine the exact time from the first date to the second date. Assume the year is not a leap year.
March 27th to November 21rst
Answer:239 daya
Step-by-step explanation:
In a survey of 142 pet owners, 81 said they own a dog, and 55 said they own a cat. 20 said they own both a dog and a cat. How many owned neither a cat nor a dog?
Answer:
6 People Do now own a cat or dog.
Step-by-step explanation:
Subtracting all numbers will be a negative.
Given equation:
142 - 81 - 55
142 - 81 = 61.
61 - 55 = 6.
Your answer is 6.
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
7 + 3(v - 2u)
u+1
=
u=2 v=5
Answer:
10/3Step-by-step explanation:
7 + 3 ( v - 2u )/u + 1
u = 2 and v = 5
7 + 3(v - 2u)/u + 1
7 + 3 ((5) - 2(2)) / (2) + 1
→ 7+3 ((5) -2 (2)) = 10
→ (2) + 1 = 3
10/3
Answer:
10/3
Step-by-step explanation:
u = 2
v = 5
7 + 3(v - 2u)
= 7 + 3(5 - 2*2)
= 7 + 3(5 - 4)
= 7 + 3(1)
= 7 + 3
= 10
u + 1
= 2 + 1
= 3
7 + 3(v - 2u)/u + 1
= 10/3
find the 25th, 50th, and 75th percentile from the following list of 32 data. please enter exact answers.
the 25th, 50th, and 75th percentile from the following list of 32 data are 25th percentile: 13 , 50th percentile: 21 , 75th percentile: 29.
To find the 25th percentile:
25th percentile: 25% of 32 = 8th number = 13
Count the total number of values in the data set, which is 32
Calculate 25% of 32, which is 8
Count 8 numbers from the beginning of the list and the 25th percentile is the 8th number, which is 13
To find the 50th percentile:
50th percentile: 50% of 32 = 16th number = 21
Count the total number of values in the data set, which is 32
Calculate 50% of 32, which is 16
Count 16 numbers from the beginning of the list and the 50th percentile is the 16th number, which is 21
To find the 75th percentile:
75th percentile: 75% of 32 = 24th number = 29
Count the total number of values in the data set, which is 32
Calculate 75% of 32, which is 24
Count 24 numbers from the beginning of the list and the 75th percentile is the 24th number, which is 29
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Y=1/2x-5
What is the slope?
Answer: 1/2
Step-by-step explanation:
Slope is the number in front of x
Answer:
The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept
Step-by-step explanation:
Hope I made sense to you.
When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 11 days by 49 workers. How
many days would it take to build a similar house with 7 workers?
Answer: 77 days
Step-by-step explanation:
Sofia and ella are both writing expressions to calculate the surface area of a rectangular prism however they wrote different expressions.
a. examine the expressions below, and determine if they represent the same value. explain why or why not.
sofia's expression
(3 cm x 4 cm ) + (3 cm x 5 cm) + (4 cm x 5 cm) + (4 cm x 5 cm)
ella's expression:
2(3 cm x 4 cm) + 2(3 cm x 5 cm) + 2(4 cm x 5 cm)
b. what fact about the surface area of a rectangular prism does ella's expression show more clearly than sofia's?
a) The two expressions do not represent the same value. b) the surface area of a rectangular prism consists of the sum of the areas of all its faces. By doubling the areas of each face
Answers to the aforementioned questionsa. To determine if Sofia and Ella's expressions represent the same value for the surface area of a rectangular prism, we can simplify their expressions and compare them.
Sofia's expression: (3 cm x 4 cm) + (3 cm x 5 cm) + (4 cm x 5 cm) + (4 cm x 5 cm)
= 12 cm² + 15 cm² + 20 cm² + 20 cm²
= 67 cm²
Ella's expression: 2(3 cm x 4 cm) + 2(3 cm x 5 cm) + 2(4 cm x 5 cm)
= 2(12 cm²) + 2(15 cm²) + 2(20 cm²)
= 24 cm² + 30 cm² + 40 cm²
= 94 cm²
The two expressions do not represent the same value. Sofia's expression calculates the surface area by adding the areas of each face once, while Ella's expression calculates the surface area by doubling the areas of each face and then summing them up.
b. Ella's expression, 2(3 cm x 4 cm) + 2(3 cm x 5 cm) + 2(4 cm x 5 cm), shows more clearly the fact that the surface area of a rectangular prism consists of the sum of the areas of all its faces. By doubling the areas of each face
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Which of the following is not a typical cost associated with renting?
a. last month's rent
b. pet deposit
C. property tax
d. security deposit
Please select the best answer from the choices provided
An example of a typical cost that is not associated with renting include the following: C. property tax.
What are the types of tax?In Economics, there are different types of tax that are being levied on individuals or business organizations by the government, and these include the following:
Sales taxIncome taxProperty taxGenerally speaking, property taxes are typically determined with respect to the monetary value of a property in real estate. This ultimately implies that, property taxes are typically determined based on the monetary value that is associated with a property.
In conclusion, last month's rent, security deposit, and pet deposit are examples of cost that are associated with renting.
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Can I please get help
Answer:
F for number 14
Step-by-step explanation:
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
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2x^2+2=3x complete the square i need full explaination ASAP
Answer:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
Step-by-step explanation:
2x² + 2 = 3x
Subtract 3x from both sides so it equals 0:
2x² - 3x + 2 = 0
Divide both sides by 2:
x² - 3/2x + 1 = 0
Subtract 1 from both sides:
x² - 3/2x = -1
Take -3/2 and multiply it by 1/2 then square it:
(-3/2 • 1/2)²
9/16
Add this to both sides:
x² - 3/2x + 9/16 = -1 + 9/16
Rewrite the perfect square on the left and add the terms on the right:
(x - 3/4)² = -7/16
Square root both sides to get rid of the square:
x - 3/4 = ± √-7/16
Simplify the radical:
x - 3/4 = ± √7i/4
Add 3/4 to both sides:
x = 3/4 ± √7i/4
Your two solutions are:
x = 3/4 + √7i/4
x = 3/4 - √7i/4
You can also convert to decimal if you need to (but I don’t recommend it):
x = 0.75 + 0.661438i
x = 0.75 - 0.661438i
Hope this helps!
Determine the quotient. Write your answer in scientific notation.
(26.4 x 10-3) (13.2 × 104)
2 x 10-0.75
2 x 101
2 x 10-7
2 x 10-12
The Scientific Notation is 3.583008 x \(10^5\) and quotient is 358300.8
Given,
In the question:
(26.4 x 10-3) (13.2 × 104)
Determine the quotient and write the answer in scientific notation.
Now, According to the question:
(26.4 x 10-3) (13.2 × 104)
Calculate the product or quotient.
(264 - 3) x (13.2 x 104)
(264 - 3) x 1372.8
calculate the sum or difference
261 x 1372.8
= 358300.8
Hence, The Scientific Notation is 3.583008 x \(10^5\) and quotient is 358300.8
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