The three costs that contribute to the total cost of a mortgage are the down payment, mortgage tax and monthly interest.
The correct option is a.
We have,
A down payment can be understood as a sum of money that a buyer pays in the early stages of purchasing an expensive good or service. The down payment represents a portion of the total purchase price, and the buyer will often take out a loan to finance the remainder. A down payment is a money paid upfront in a financial transaction, such as the purchase of a home or car.
Buyers often take out loans to finance the remainder of the purchase price. The higher the down payment, the less the buyer will need to borrow to complete the transaction, the lower their monthly payments, and the less they'll pay in interest over the long term.
Depending on the borrower and the type of purchase, lenders may require down payments as low as 0% or as high as 50%.
Learn more about payment, here:
brainly.com/question/15136793
#SPJ1
complete question:
What three costs contribute to the total cost of a mortgage?
A.
down payment, mortgage tax, and monthly interest
B.
closing cost, down payment, and monthly loan payment
C.
closing cost, monthly interest, and starting deposit
D.
starting deposit, monthly interest, and mortgage tax
Trisha has three brothers. The first brother is three years older than Trisha, the second brother is three years younger than Trisha, and the third brother is one-third Trisha's age. Trisha's father is three times Trisha's age. Trisha, her three brothers, and her father are a combined total of 95 years old. How old is Trisha?
The required, age of Trisha is 15 years old.
Let's represent Trisha's age as "T." Then we can use this variable to represent the ages of her brothers and father as well.
According to the problem, Trisha's first brother is three years older than her, so his age would be T + 3. Her second brother is three years younger than her, so his age would be T - 3. Trisha's third brother is one-third of her age, so his age would be T/3. Trisha's father is three times her age, so his age would be 3T.
The sum of all their ages is 95, so we can create the equation:
T + (T + 3) + (T - 3) + (T/3) + 3T = 95
T = 15
Thus, the required age of the Trisha is 15 years.
Learn more about age problems here:
https://brainly.com/question/30294079
#SPJ1
the mean number of words per minute (wpm) typed by a speed typist is 135 with a variance of 100 . what is the probability that the sample mean would be greater than 135.7 wpm if 43 speed typists are randomly selected? round your answer to four decimal places.
The probability that the sample mean would be greater than 135.7 WPM is 0.1686.
Calculate the standard deviation:
The standard deviation of the WPM typed by a speed typist is √100 = 10.
Calculate the z-score
The z-score is calculated by subtracting the population mean (135) from the sample mean (135.7) and dividing it by the standard deviation (10).
z = (135.7 - 135) / 10 = 0.07
Calculate the probability
The probability of the sample mean being greater than 135.7 WPM can be calculated using the z-score.
P(x > 135.7) = 1 - P(x ≤ 135.7)
P(x > 135.7) = 1 - 0.8314 = 0.1686
Therefore, the probability that the sample mean would be greater than 135.7 WPM if 43 speed typists are randomly selected is 0.1686, rounded to four decimal places.
Complete Question:
The mean number of words per minute WPM typed by a speed typist is 135 with a variance of 100. What is the probability that the sample mean would be greater than 135.7 WPM if 43 speed typist are randomly selected? round your answer to four decimal places.
To learn more about sample mean visit:
https://brainly.com/question/31101410
#SPJ4
total cost
of the wall = answer
Answer:
64 pounds
Step-by-step explanation:
so first what you have to do is find the perimeter of the barn:
2l+2w
2*12)+2*4)= 32 m
Then it costs 2 pounds per meter
So they you multiply
32m * 2 pounds
64 pounds
HELP
PLEASE I BEGGGG
The time taken for the stone to hit the surface of the water is T = 2 seconds
Given data ,
Let the function be represented as h ( t )
where h = -16t² - 64t + 192
On simplifying , we get
The time taken for the stone to hit the water surface is when h = 0
So , when h = 0
16t² + 64t - 192 = 0
On solving the quadratic equation , we get
t = (-64 ± √(64² - 4 * 16 * -192)) / (2 * 16)
Simplifying further:
t = (-64 ± √(4096 + 12288)) / 32
t = (-64 ± √(16384)) / 32
t = (-64 ± 128) / 32
Now, we have two possible solutions:
t = (-64 + 128) / 32 = 64 / 32 = 2
t = (-64 - 128) / 32 = -192 / 32 = -6
Hence , the time taken is t = 2 seconds
To learn more about quadratic equations click :
https://brainly.com/question/25652857
#SPJ1
An
engineer
makes a model of a bridge
using a scale of 1 inch = 4 yards.
The
length of the
actual
bridge is 60
yards.
What is the
length of the
model?
The length of the model when the scale given is used would be = 240 yards.
How to calculate the length of a model of a bridge?To calculate the length of the model, the formula for scale factor should be used. That is;
Scale factor = Actual length/Model length
The scale factor = 1/4
Actual length = 60 yards
Model length = ?
That is;
1/4 = 60/?
Model length = 60×4
= 240 yards
Learn more about scale factor here:
https://brainly.com/question/28339205
#SPJ1
I don’t even know if I’ve done this problem right or not please help
Step-by-step explanation:
I believe there is something missing from the description.
I base my solution and explanation on the following assumptions :
the angle theta is at the origin (0, 0).not only passes the terminal side through (20, -21), but so does also the circle around our trigonometric triangle.in other words, (20, -21) is not just any point on the line, but it is the upper vertex of the triangle.
the baseline of the triangle, which is the radius of the surrounding circle is then the distance from the origin to the point.
Pythagoras (= distance formula) gives us for the distance between 2 points (x1, y1) and (x2, y2) :
distance² = (x1 - x2)² + (y1 - y2)²
in our case
distance² = (20 - 0)² + (-21 - 0)² = 400 + 441 = 841
distance = radius = 29
remember, sine is the up/down leg, cosine is the left/right leg.
so,
sin(theta) = -21/29
FYI : theta ≈ -46.4°
cos(theta) = 20/29
tan(theta) = sin(theta)/cos(theta) = -21/29 / 20/29 =
= -21/20
you were right about tan(theta), not about sin(theta) and cos(theta).
if you mistook theta for a 0, you were still wrong :
sin(0) = 0, cos(0) = 1.
Solve for y: 3(4y - 1) = 2( 5y + 1).
The solution is y =
The solution is?
Answer:
y= 5/2
y=2.5
y=2 1/2
Step-by-step explanation:
I hope this helps
A cans good company manufuctured a cylinderical can of height 10cm and radus 4 cm find surface area
To find the surface area of a cylindrical can, we need to calculate the sum of the areas of its curved surface and its two circular bases.
The curved surface area (CSA) of a cylinder can be calculated using the formula:
CSA = 2πrh
In this case, the height (h) of the can is 10 cm and the radius (r) is 4 cm.
Using the formula, we can calculate the curved surface area:
CSA = 2 × 3.14 × 4 cm × 10 cm
CSA = 251.2 cm²
The area of each circular base can be calculated using the formula:
Base Area = πr²
Substituting the radius (r = 4 cm) into the formula, we get:
Base Area = 3.14 × (4 cm)²
Base Area = 50.24 cm²
Since the can has two circular bases, the total area of the bases is 2 times the base area, which is:
2 × 50.24 cm² = 100.48 cm²
To find the total surface area, we add the curved surface area and the area of the bases:
Total Surface Area = CSA + 2 × Base Area
Total Surface Area = 251.2 cm² + 100.48 cm²
Total Surface Area = 351.68 cm²
Therefore, the surface area of the cylindrical can is approximately 351.68 cm².
Learn more about cylindrical here: brainly.com/question/23959916
#SPJ11
A high school guidance counsulor has a pamphlet that says that 25% of all high school students go to a community college after graduation. In a survey of 150 randomly selected high school seniors, 46 replied that they planned to go to a community college in the fall. Use a 95% confidence interval to test and see if the pamphlet needs updating. Which of these facts would tell us that the pamphlet needs to be updated? Olf an appropriate confidence interval contains 25%. Olf the sample proportion is the same as 25%. Olf an appropriate confidence interval contains the sample proportion. Olf an appropriate confidence interval does not contain 25%. Olf the sample proportion is different from 25%. Olf an appropriate confidence interval does not contain the sample proportion.
The correct statement is "If an appropriate confidence interval does not contain 25%."
To determine whether the pamphlet needs updating, we can construct a confidence interval for the proportion of high school students planning to attend a community college based on the survey results. If the confidence interval does not contain the value stated in the pamphlet (25%), it would suggest that the pamphlet needs updating.
In this case, the sample proportion is 46/150, or 0.3067 (approximately). To construct the confidence interval, we can use the formula for a proportion confidence interval:
p ± z * √(p * (1 - p) / n)
where p is the sample proportion, z is the z-score corresponding to the desired confidence level (95% in this case), and n is the sample size.
Using a z-score of 1.96 (for a 95% confidence level), the confidence interval would be:
0.3067 ± 1.96 * √(0.3067 * (1 - 0.3067) / 150)
Calculating this interval would give us the lower and upper bounds. If this interval contains 25%, then it would suggest that the pamphlet does not need updating. However, if the interval does not contain 25%, it would indicate that the pamphlet needs to be updated.
Therefore, the correct statement is "If an appropriate confidence interval does not contain 25%."
To learn more about confidence interval from the given link
https://brainly.com/question/20309162
#SPJ4
What type of number is 1.overline 00 Choose all answers that apply:
1.) Whole number
2.) Integer
3.) Rational
4.) Irrational.
Since 1 can be expressed as the ratio of two integers (1/1), 1.overline00 is a rational number.
The number 1.overline00 represents a repeating decimal. To understand its nature, let's break it down.
The overline above the zeros indicates that the zeros repeat infinitely. Therefore, 1.overline00 can be represented as 1.000000... with the zeros repeating indefinitely.
1.) Whole number: A whole number is a non-negative integer. Since 1.overline00 is greater than 1, it is not a whole number.
2.) Integer: An integer includes both positive and negative whole numbers, including zero. As 1.overline00 is greater than 1, it is not an integer.
3.) Rational: A rational number can be expressed as the ratio of two integers, where the denominator is not zero. To determine if 1.overline00 is rational, we can convert it into a fraction. Let x = 1.overline00. Multiplying both sides by 100, we get 100x = 100.overline00. Subtracting the original equation from this new equation, we get 100x - x = 100.overline00 - 1.overline00, which simplifies to 99x = 99. Therefore, x = 1. Since 1 can be expressed as the ratio of two integers (1/1), 1.overline00 is a rational number.
4.) Irrational: An irrational number cannot be expressed as the ratio of two integers. Since we have determined that 1.overline00 is rational, it is not irrational.
Since 1 can be expressed as the ratio of two integers (1/1), 1.overline00 is a rational number.
For more questions on rational number
https://brainly.com/question/30460422
#SPJ8
Determine whether the quadrilateral is a parallelogram by using the indicated method. Show all work.
Answer: The quadrilateral is not a parallelogram.
Step-by-step explanation:
Slope of any line = (Change in y)/(Change in x)
Slope of LM = (9-6)/(5-(-1)) = 3/6 = 1/2
Slope of LN = (2-6)/(0-(-1)) = -4/1 = -4
Slope of LP = (-2-6)/(-8-(-1)) = -8/-7 = 8/7
Slope of MN = (2-9)/(0-5) = -7/-5 = 7/5
Slope of MP = (-2-9)/(-8-5) = -11/-13 = 11/13
Slope of NP = (-2-2)/(-8-0) = -4/-8 = 1/2
Since slopes of LM and NP are the same, they are parallel lines.
Parallelograms have two sets of parallel lines. However, there only exists one set of parallel lines for this quadrilateral. Thus, this quadrilateral is not a parallelogram.
I need some help please, which figure is a translation of figure A?
1) Figure B
2) Figure C
3) Figure D
Answer: Figure C
Step-by-step explanation:
Figure C is a translation of Figure A because it moved down. Figure A moved down 5 units in order to be Figure C. A translation is moving in a direction. Figure B and D have both been altered some other way, but Figure C has just been moved down.
a tank in the form of a truncated cone is formed by rotating the segment between (2, 0) and (4, 4) around the y-axis. it is filled with sludge (density 80 lbs/ft3). if the sludge is pumped 4 feet upwards into a tank truck, how much work was required?
The work required to pump the sludge is approximately 21449.6 ft-lbs.
To calculate the work required to pump the sludge, we need to determine the volume of the sludge and then multiply it by the weight of the sludge.
First, let's find the volume of the sludge in the tank. Since the tank is formed by rotating the segment between (2, 0) and (4, 4) around the y-axis, it forms a frustum of a cone. The formula for the volume of a frustum of a cone is:
V = (1/3) * π * h * (R^2 + r^2 + R*r),
where h is the height of the frustum, R is the radius of the larger base, and r is the radius of the smaller base.
In this case, the height of the frustum is the difference in y-coordinates between the two points: h = 4 - 0 = 4 ft.
The radius of the larger base, R, is the y-coordinate of the point (4, 4): R = 4 ft.
The radius of the smaller base, r, is the y-coordinate of the point (2, 0): r = 0 ft.
Substituting these values into the volume formula, we have:
V = (1/3) * π * 4 * (16 + 0 + 0) = (4/3) * π * 16 = 67.03 ft^3 (approximately).
Next, we need to calculate the weight of the sludge, which is the volume multiplied by the density:
Weight = Volume * Density = 67.03 ft^3 * 80 lbs/ft^3 = 5362.4 lbs (approximately).
Finally, we can calculate the work required to pump the sludge 4 feet upwards. The work is given by the formula:
Work = Force * Distance,
where Force is the weight of the sludge and Distance is the vertical distance it is pumped.
Work = Weight * Distance = 5362.4 lbs * 4 ft = 21449.6 ft-lbs (approximately).
Know more about volume of a frustum here:
https://brainly.com/question/5428945
#SPJ11
Answer: =
24
X
Submit Answer
62
H
word
The value of x, which is the radius of this cone is 64 units.
How to calculate the volume of a cone?In Mathematics and Geometry, the volume of a cone can be calculated by using this formula:
Volume of cone, V = 1/3 × πr²h
Where:
V represent the volume of a cone.h represents the height.r represents the radius.By substituting the given parameters into the formula for the volume of a cone, we have the following;
512π = 1/3 × π × x² × 24
512π = π × x × 8
Radius, x = 512/8
Radius, x = 64 units
Read more on cone here: https://brainly.com/question/27604827
#SPJ1
Complete Question:
The volume of the right cone below is 512π units³. Find the value of x.
reatest, or the mean of
node: The number that appea
POL
oss
Find the mean for 3, 9, 5, 4, 9.
Di please find mean of this question?
Answer:
The Mean is 6.
Step-by-step explanation:
The histogram below summarizes the lengths, in feet, of a group of adult female sharks. Select all the statements that are true, according to the histogram.
The statements that are true, according to the histogram include
B. A total of 50 sharks were measured.D. Most of the sharks that were measured were over 16 feet long.E. Two of the sharks that were measured were less than 14 feet longWhat is a histogram?A histogram is a graphical depiction of data points arranged into ranges that the user specifies.
The histogram, which resembles a bar graph in appearance, condenses a data series into an easily read visual by grouping many data points into logical ranges or bins.
Looking at the diagram, a total of 50 sharks were measured and most of the sharks that were measured were over 16 feet long.
Learn more about histogram on
https://brainly.com/question/2962546
#SPJ1
Convert r10000 sent to thai baht. Use the exchange rate R0,448 =1 thai baht
To convert r10,000 to Thai Baht using the exchange rate R0.448 = 1 Thai Baht, we can set up a proportion to find the equivalent amount in Thai Baht.
R0.448 (Thai Baht) R10,000 (Rand)
------------------ = --------------
1 x
Cross-multiplying, we have:
R0.448 * x = R10,000
Dividing both sides by R0.448:
x = R10,000 / R0.448
Calculating the division, we find:
x ≈ 22,321.43
Therefore, r10,000 is approximately equivalent to 22,321.43 Thai Baht, using the given exchange rate.
Learn more about equivalent here: brainly.com/question/31017296
#SPJ11
Hellooe what r the answers to these
1) The value of cos θ is,
2) The value of sin θ is,
3) The value of cos θ is,
We have to given that;
The value of sin θ is,
⇒ sin θ = 3/5
Hence,
cos θ = √1 - sin²θ
cos θ = √1 - 9/25
cos θ = √16/9
cos θ = 4/3
Since, It is quadrant II.
Hence,
cos θ = - 4/3
Since, cos θ = - 5/12
Hence,
sin θ = √1 - cos²θ
sin θ = √1 - 25/144
sin θ = √119/144
Since, It is quadrant III,
Hence,
sin θ = - √119/12
The value of sin θ is,
⇒ sin θ = - 15/17
Hence,
cos θ = √1 - sin²θ
cos θ = √1 - 225/289
cos θ = √64/289
cos θ = 8/17
Since, It is quadrant IV.
Hence,
cos θ = 8/17
Since, Value of sine is always positive,
And, Values of cosine is always greater than - 1.
Learn more about the angle visit:;
https://brainly.com/question/25716982
#SPJ1
How many different possible outcomes are there if you spin a spinner labeled Red, Blue, Yellow five times?
The number of different possible outcomes if you spin a spinner labeled Red, Blue, Yellow five times (excluding outcomes where the same color is spun five times) is 243 x 1/10 = 24.3, which we can round down to 24.
If you spin a spinner labeled Red, Blue, Yellow five times, there are a total of 3^5 (three raised to the power of five) different possible outcomes.
This is because each spin has three possible outcomes and the number of possible outcomes is calculated by multiplying the number of outcomes for each spin together.
Therefore, 3 x 3 x 3 x 3 x 3 = 243. However, this includes outcomes where the same color is spun five times, which we want to exclude.
To calculate this, we can use the formula for combinations: nCr = n! / (r! * (n-r)!). In this case, we want to find the number of combinations of 3 colors taken 5 at a time, which is 3C5 = 3! / (5! * (3-5)!) = 3! / (-2! * 5!) = 1/10.
To learn more about : possible outcomes
https://brainly.com/question/30507347
#SPJ11
Which of these ordered pairs is a solution to the linear inequality y ≤ 4x – 3?
Responses
(1, 4)
(1, 4)
(1, 5)
(1, 5)
(–2, 5)
(–2, 5),
(2, 5)
Answer:
(2, 5)
Step-by-step explanation:
You want the ordered pair that is a solution to y ≤ 4x -3 from those on the list:
(1, 4)(1, 5)(-2, 5)(2, 5)GraphThe attachment shows a graph of the inequality, along with the offered solution points. The only solution among those shown is (2, 5). That solution lies on the boundary line. The "≤" symbol means the boundary line is included in the solution set.
CalculatorWe can use a calculator to check the solutions, too. Rearranging, we have ...
4x -3 -y ≥ 0
The calculator in the second attachment is able to make this calculation using the list of x-values and the list of y-values. The solution list only has one number that is not less than zero. That corresponds to (x, y) = (2, 5).
__
Additional comment
We like to avoid having to enter the same equation over and over with different data. That is why we have chosen the solution methods here. A spreadsheet can repeat the calculation and comparison for you, too.
#95141404393
6. How many full revolutions
does a car tire with a
diameter of 25 inches
make when the car
travels one mile?
Answer:
5
Step-by-step explanation:
im right
200 bats in a colony are affected by a disease which causes their population to decrease by 8% every day.
the following equation represents the bat colony population as the disease effect's them
f (x)= 200 (0.92)^x
Does this equation represent exponential growth or exponential decay. Explain how you know using the function itself.
15 POINTS!!!!!
Answer:
Exponential decay--------------------------
The first explanation comes from the information given in the question.
It says the population decreases.
From the function itself, we look at the base of the exponent. The function is representing a growth if the base is greater than 1 and decay if the base is less than 1.
In our case 0.92 < 1, hence the function represents exponential decay.
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.2 in. The slant height of the pyramid is 92.5 in. What is the height of the pyramid?
Answer:
Step-by-step explanation:
You can find the hieght from slant height and side edge using this formula:
[tex]\sqrt{s^{2} - \frac{a}{2}^{2} }[/tex] where s is the slant height and a is the base length of one edge.
[tex]\sqrt{92.5^{2} - (\frac{24.2}{2} )^{2} }[/tex]
[tex]\sqrt{8556.25 - 146.41}[/tex]
[tex]\sqrt{8409.84}[/tex]
91.705 in
can be rounded to 91.71 in
Use the Distributive Property to create two equivalent expressions that represent the
area of the diagram.
3
x
Fill in the blanks with the terms from the list to correctly complete the expressions.
Area as the sum of exactly two terms:
(x + 3)
+
2
2x + 6 V
E9x
Area as a product in which one factor is a sum:
X
2x 6x
6
h each expression in the left column with an equivalent expression
By distributive property to write an expression that is equivalent to 12 + 4x is equal to 4 (x + 3) and 2 ( 2x + 6)
The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms which quality can be expressed as the following symbol:
A ( B+ C) = AB + AC
We have given an expression as;
12 + 4x
since 4 and 12 both have a common factor of 4.
4x + 12 = 4 (x + 3)
Additionally, given that 4 and 12 both have a factor of 2
4x + 12 = 2 ( 2x + 6)
Therefore, by the distributive property to write an expression that is equivalent to 12 + 4x ;
4 (x + 3) and 2 ( 2x + 6)
Learn more about distributive property click here:
brainly.com/question/26636296
#SPJ1
PLEASE HELP ME
What is the surface area of the cylinder? Approximate using π = 3.14 and round to the nearest square meter.
a cylinder with a radius labeled 2.6 meters and height labeled 6.1 meters
82 square meters
91 square meters
96 square meters
142 square meters
The surface area of the cylinder, rounded to the nearest square meter, is: D. 142 square meters
What is the Surface Area of a Cylinder?The surface area of a cylinder can be calculated by using the formula expressed as:
SA = 2[tex]\pi[/tex]r(h + r), where r is the radius and h is the height.
Given the following:
[tex]\pi[/tex] = 3.14
radius (r) = 2.6 m
height of the cylinder (h) = 6.1 m
Plug in the values:
[tex]\sf SA = 2 \times 3.14 \times 2.6 \times (6.1 + 2.6)[/tex]
[tex]\sf SA \thickapprox 142[/tex] square meters (rounded to the nearest square meter)
Learn more about surface area of cylinder on:
brainly.com/question/27440983
Describe, in your own words, what "convenience sampling" is
Answer: Put this in your own words:
Convenience sampling is like staying in a certain area of a mall and giving samples to people as the come by you stay there at that one place because it is convenient because you don't want to move from that spot so you stay at that spot and only that spot. Convenience sampling is also like ordering food because it is convenient and you don't want to cook.
Step-by-step explanation:
Let R be the region in the first quadrant bounded by the graph of y = 2 \sqrt x, the horizontal line y = 6, and the y-axis, as shown in the figure.
a) Find the area of R.
b) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the horizontal line y = 7.
c) Write, but do not evaluate, an integral expression that gives the volume of the solid generated when R is rotated about the y-axis.
a) To find the area of region R, we need to calculate the area between the curves y = 2√x and y = 6 in the first quadrant. The region is bounded by the y-axis and the horizontal line y = 6.
To find the area, we integrate the difference between the upper and lower curves with respect to x:
Area = ∫[0 to a] (6 - 2√x) dx,
where 'a' is the x-coordinate where the curves intersect.
b) To find the volume of the solid generated when region R is rotated about the horizontal line y = 7, we can use the method of cylindrical shells. Each cylindrical shell has a height of 6 - 7 = -1 (as y = 6 is below y = 7) and a radius equal to x.
The volume is given by the integral:
Volume = ∫[0 to a] 2πx(6 - 7) dx,
where 'a' is the x-coordinate where the curves intersect.
c) To find the volume of the solid generated when region R is rotated about the y-axis, we can use the method of disks. Each disk has a radius equal to y and a thickness given by dx.
The volume is given by the integral:
Volume = ∫[0 to b] π(y^2) dx,
where 'b' is the y-coordinate where the curves intersect.
To learn more about coordinate : brainly.com/question/22261383
#SPJ11
Solve an equation that can be used to determine the value of k.
(11k-23)
Y
Z
(5k - 3)°
(14k - 4)°
X W
Answer:
k = 11Y = 52°Z = 98°∠WXZ = 150°Step-by-step explanation:
You want the value of the variable k and the angle measures around triangle XYZ in the given figure.
Exterior angleThe exterior angle at X is equal to the sum of the remote interior angles at Y and Z:
14k -4 = (5x -3) +(11k -23)
14k -4 = 16k -26
7k -2 = 8k -13 . . . . . . divide by 2 (because we can)
11 = k . . . . . . . . . . add 13-7k
The value of k is 11.
Angle YY = (5k -3)° = (5·11 -3)°
Y = 52°
Angle ZZ = (11k -23)° = (11·11 -23)°
Z = 98°
Angle WXZangle WXZ = Y +Z = 52° +98°
angle WXZ = 150°
__
Additional comment
The exterior angle at X is the supplement of the adjacent interior angle X. That interior angle is also the supplement of the sum of angles Y and Z. Two angles are equal when their supplements are equal. Hence angle WXZ is the sum of angles Y and Z.
#95141404393
the grade point averages of the gourmet society are uniformly distributed between 2.5 and 3.5. a. find the probability distribution function, f(x) for this scenario. b. using part (a), find the probability that a randomly chosen member of the society has a grade point average between 3 and 3.2
The probability that a randomly chosen member of the society has a grade point average between 3 and 3.2 is 0.2 or 20%.
The probability distribution function (pdf), f(x), for the grade point averages of the gourmet society can be represented by a uniform distribution between 2.5 and 3.5. In a uniform distribution, the probability density is constant within the range and zero outside the range. The formula for the pdf is:
f(x) = 1 / (b - a)
where a is the lower bound (2.5 in this case) and b is the upper bound (3.5 in this case). Therefore, for this scenario:
f(x) = 1 / (3.5 - 2.5) = 1
To find the probability that a randomly chosen member of the society has a grade point average between 3 and 3.2, we need to calculate the area under the probability distribution curve within that range. Since the probability density is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.
The width of the range is 3.2 - 3 = 0.2, and the total width of the distribution is 3.5 - 2.5 = 1. Therefore, the probability is:
Probability = (width of range) / (total width)
= 0.2 / 1
= 0.2
Know more about probability here:
https://brainly.com/question/32004014
#SPJ11
help fast and whoever gets it correct gets brainlyest
solve for x in the following equation
A. X = 16.5
B. X.= 4.125
C. X= -3
D. X= -12
Answer:
C. x = -3
Step-by-step explanation:
Given equation:
[tex]10x+57=9-6x[/tex]
Add 6x to both sides of the equation:
[tex]10x+57+6x=9-6x+6x[/tex]
[tex]16x+57=9[/tex]
Subtract 57 from both sides of the equation:
[tex]16x+57-57=9-57[/tex]
[tex]16x=-48[/tex]
Divide both sides by 16:
[tex]\dfrac{16x}{16}=\dfrac{-48}{16}[/tex]
[tex]x=-3[/tex]
Therefore, the solution to the equation is x = -3.
Hello !
Answer:
[tex] \boxed{\sf Option \: C\text{:} \: x= -3} [/tex]
Step-by-step explanation:
Solve the equation by isolating the variable 'x'.
[tex] \\ [/tex]
We are given the following equation:
[tex] \sf 10x + 57 = 9 - 6x [/tex]
[tex] \\ [/tex]
Subtract 57 from both sides and combine like terms:
[tex] \sf 10x + 57 - 57 = 9 - 6x - 57 \\ \sf 10x = -6x - 48 [/tex]
[tex] \\ [/tex]
Add 6x to both sides of the equation and combine like terms:
[tex] \sf 10x + 6x = -6x - 48 + 6x \\ \sf 16x = -48 [/tex]
[tex] \\ [/tex]
Finally, divide both sides by 16, which is the coefficient of the variable.
[tex] \sf \dfrac{16x}{16} = \dfrac{-48}{16} \\ \\ \boxed{\sf x= -3} [/tex]
Have a nice day ;)
