a. The point estimate for the birth weights is 2714.58, b. the value of tq is 1.70814, and c. the margin of error for the confidence interval is 124.3. d. The confidence interval for birth weights is (2503, 2927). e. No conclusions can be drawn since the confidence interval contains 2500.
a. The point estimate for the birth weights is 2714.58. This is the average of the sample data and is used as an estimate for the population mean.
b. The value of tq is 1.70814. This is the t-value associated with the given confidence level and degrees of freedom.
c. The margin of error for the confidence interval is 124.3. This is calculated using the formula ME = tq * (s/√n), where tq is the t-value, s is the sample standard deviation, and n is the sample size.
d. The confidence interval for birth weights is (2503, 2927). This is calculated by taking the point estimate and subtracting and adding the margin of error to get the lower and upper bounds of the interval.
e. No conclusions can be drawn since the confidence interval contains 2500. This means that the true population mean could be less than 2500, greater than 2500, or equal to 2500.
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Solve the following system of equations using SUBSTITUTION METHOD.
SHOW YOUR WORK
Write your answer as an (x,y) point.
x= 4y - 1
3x + 2y = 25
The solution to the system of equations using the substitution method is (7,2).
Can the substitution approach be used to solve all equation systems?No, the substitution approach cannot be used to solve every system of equations. It can be challenging to replace one equation with another in some systems because they feature equations that are challenging or impossible to solve for one variable in terms of the other. Other approaches, such graphing or elimination, could be more useful in such circumstances.
Given that, the two equations are:
x= 4y - 1
3x + 2y = 25
Substitute x = 4y - 1 into the second equation:
3(4y - 1) + 2y = 25
12y - 3 + 2y = 25
14y - 3 = 25
14y = 28
y = 2
Substitute the value of y in equation:
x = 4y - 1
x = 4(2) - 1
x = 7
Hence, the solution to the system of equations using the substitution method is (7,2)
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Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $35 per passenger. Suppose a random sample of 50 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total flight cost is known to be $39
If Allegiant Airlines charges a mean base fare of $89. The population mean cost per flight is $128.
How to find the population mean cost per flight?As given in the problem, the population mean base fare is $89 and the population mean additional fare per person is $39.
To find the population mean cost per flight, we need to add the population mean base fare to the population mean additional fare per person,
Population mean cost per flight = (Population mean base fare + Population mean additional fare per person)
Population mean cost per flight = ($89 + $39)
Population mean cost per flight = 128
Therefore the population mean cost per flight is $128.
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The complete question is:
Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a reservation on its website, checking bags, and inflight beverages. These additional charges average $39 per passenger (Bloomberg Businessweek, October 8 � 14, 2012). Suppose a random sample of 60 passengers is taken to determine the total cost of their flight on Allegiant Airlines. The population standard deviation of total flight cost is known to be $40.
Allegiant Airline reports a population mean base fare of $89 and a population mean additional fare of $39 per person. What is the population mean cost per flight?
55 < -12p + 7 please help
Answer:
We can solve for p by isolating it on one side of the inequality symbol. First, we'll subtract 7 from both sides:
55 - 7 < -12p
48 < -12p
Next, we'll divide both sides by -12. Since we're dividing by a negative number, we'll need to flip the direction of the inequality:
48/-12 > p
-4 > p
Therefore, p is greater than -4. Written in interval notation, this solution is p ∈ (-∞, -4).
y<|4x+1|-3 table and graphed
The table of values is added below and and the graph is attached
How to determine the table of values and graphFrom the question, we have the following parameters that can be used in our computation:
y < |4x + 1| - 3
To create a table of values for y < |4x + 1| - 3, we can choose different values of x and substitute them into the expression to find the corresponding values of y.
Let's choose some values of x: -2, -1, 0, 1, 2.
When x = -2, we have:
y < |4(-2) + 1| - 3
y < 4
When x = -1, we have:
y < |4(-1) + 1| - 3
y < 0
When x = 0, we have:
y < |4(0) + 1| - 3
y < |1| - 3
y < -2
When x = 1, we have:
y < |4(1) + 1| - 3
y < 2
When x = 2, we have:
y < |4(2) + 1| - 3
y < 6
Putting it all together, we have the following table:
x y values
-2 y < 4
-1 y < 0
0 y < -2
1 y < 2
2 y < 6
The graph is attached
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a small rug blah blah read the picture
The area of the rug is A = 1/2 × 7/6 and the area is 7/12
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity.
The area of a rectangle = l× w
The length = 7/6
The width = 1/2
Therefore the area = 7/6 × 1/2
= 7/12
therefore the area of the rug is 7/12
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Find the number of f words with or without meaning which can be made using all the words if the letter AGAIN. If these words are written as in a dictionary
There are 60 f-words that can be made using all the letters of the word "AGAIN".
How find number of words with letter AGAIN?To find the number of f-words that can be made using all the letters of the word "AGAIN", we need to use the concept of permutations.
There are five letters in the word "AGAIN". To find the number of f-words that can be made using all these letters, we need to find the number of permutations of these letters.
The number of permutations of a set of n elements is given by n!. However, in this case, we have two "A"s in the word "AGAIN". This means that we cannot simply use n! to calculate the number of permutations.
Instead, we need to use the formula for permutations with repeated elements, which is:
[tex]$\frac{n!}{n_1!n_2!\cdots n_k!}$$[/tex]
where n is the total number of elements, and n1, n2, ..., nk are the number of times each element is repeated.
In this case, we have two "A"s and one of each of the other letters. Therefore, we can plug in the values into the formula:
[tex]$\frac{5!}{2!1!1!1!} = \frac{120}{2} = 60$$[/tex]
This means that there are 60 f-words that can be made using all the letters of the word "AGAIN".
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Graph the system of equations below on the coordinate grid provided.
Please show all of work and write the answer as an ordered pair.
Determine if the triangles are similar.
A. Yes, SSS
B. Yes, SAS
C. Yes, AA
D. No, not similar
D. No, not similar
ΔFNY: 8<10<12 ⇔ FN<NY<FY
ΔWRY: 14 <18<21 ⇔ WR<YW<YR
[tex]\dfrac{FN}{WR} = \dfrac{8}{14} = \dfrac{4}{7}[/tex]
[tex]\dfrac{NY}{YW} = \dfrac{10}{18} = \dfrac{5}{9}[/tex]
[tex]\dfrac{FY}{YR} = \dfrac{12}{21} = \dfrac{4}{7}[/tex]
[tex]\dfrac{FN}{WR} = \dfrac{FY}{YR} \bf \neq \dfrac{NY}{YW}[/tex]
What is the step-by-step way to get the remaining 5 trigonometric values?
Answer:
If sin = 1⁄2 and lies in the second quadrant, the remaining five trigonometric values are cos = √3/2, tan = 1/√3, cot = √3, sec = 2/√3, and csc = 2. These values can be derived from the basic trigonometric identities and the given value of sin. For example, the cosine of an angle in the second quadrant is the same as the sine of the same angle in the first quadrant, and vice versa. Therefore, since sin = 1⁄2 in the second quadrant, cos = √3/2 in the first quadrant. The other values can be derived in a similar manner
Step-by-step explanation:
Can you do Step by Steps for this problem, please.
Answer:
36.9
Step-by-step explanation:
sinJ=[tex]\frac{21}{35}[/tex]
J= [tex]sin^{-1}[/tex][tex]\frac{21}{35}[/tex]
J= 36.9
In A parallelogram MNPQ if MN=12cm what is PQ
In A parallelogram MNPQ with MN=12cm, MQ = 10 cm
a) The length of side PQ is equals to the 12 cm.
b) The measure of angle Q is equals to the 155°.
In a geometry, a parallelogram is a simple quadrilateral with
two pairs of parallel sides. The opposite sides are of equal length.the opposite angles of are of equal measure.We have a parallelogram MNPQ, with
Side length, MN = 12cm
Other side length, MQ = 10 cm
Measure of angle M is = 25°
Also, MN|| PQ and MQ||NP
a) From the definition of parallelogram, the length of side MN is parallel to PQ and are of equal length. So, PQ = MN
= 12 cm
b) By the definition of parallelogram, opposite angles of a parallelogram are of equal measure. So, the measure of angle P = measure of angle M = 25°
Also, measure of angle N = measure of angle Q = x
Sum of all interior angles of quadrilateral
= 360°
=> m∠P + m∠N + m∠M + m∠Q = 360°
=> 25° + x + 25° + x = 360°
=> 2x + 50° = 360°
=> 2x = 310°
=> x = (310/2)° = 155°
Hence, required value of measure of angle Q is 155°.
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Complete question:
In A parallelogram MNPQ if MN=12cm , MQ = 10 cm and mZM = 25°. What is a)PQ
b) measure of angle Q
it takes 12 builders 7 days to build 2 houses. how long will it take 15 builders to build the same amount of houses. write your answer in days and hours.
To solve this problem, we can use the formula for work rate:
Work rate = (Number of workers) × (Time taken) / (Number of houses built)
We can plug in the given values to find the work rate for the 12 builders:
Work rate = (12 builders) × (7 days) / (2 houses) = 42 builder-days / house
Now we can use this work rate to find the time taken for 15 builders to build the same amount of houses:
42 builder-days / house = (15 builders) × (Time taken) / (2 houses)
Solving for Time taken, we get:
Time taken = (42 builder-days / house) × (2 houses) / (15 builders) = 5.6 days
Therefore, it will take 15 builders 5.6 days to build the same amount of houses.
To convert this to days and hours, we can multiply the decimal part of the answer by 24 (since there are 24 hours in a day):
0.6 days × 24 hours/day = 14.4 hours
So the final answer is 5 days and 14.4 hours, or 5 days and 14 hours and 24 minutes.
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Consider the following formula.
(x-50)/(s/squre root of n)
x = 45.3, s = 4.7, n = 48Evaluate this expression using the given
values. Round the result to two decimal places.
-12.87 ≈ -12.87
The given expression is:
(x-50)/(s/√n)
To evaluate it using the given values, we substitute the given values in the formula:
(45.3-50)/(4.7/√48) = -4.7/0.366 = -12.87
Rounding the result to two decimal places, we get:
-12.87 ≈ -12.87
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FACTORING POLYNOMIALS Factoring out a constant before Factor completely. 5x^(2)-55x+90
The factored form of the given polynomial is 5(x-9)(x-2).
To factor the given polynomial, 5x^(2)-55x+90, we first need to factor out the greatest common factor (GCF) which is 5. Factoring out the GCF will make the polynomial easier to factor completely.
5x^(2)-55x+90 = 5(x^(2)-11x+18)
Now, we need to factor the polynomial inside the parentheses completely. We can do this by finding two numbers that multiply to give us the constant term (18) and add to give us the coefficient of the x term (-11).
The two numbers that fit these criteria are -9 and -2. So, we can factor the polynomial inside the parentheses as follows:
x^(2)-11x+18 = (x-9)(x-2)
Putting it all together, we get the completely factored form of the given polynomial:
5x^(2)-55x+90 = 5(x-9)(x-2)
Therefore, the factored form of the given polynomial is 5(x-9)(x-2).
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Winnie purchased a new car for $54000. She has determined that it straight line depreciates to zero over 10 years. When she purchased the car she made at $8000 down payment and financed the rest with a four year loan at a 4.875%. You can also use the monthly payment formula from the last chapter to determine the monthly payment to the nearest cent.
a. Create an expense and depreciation function.
b. Graph these functions on the same axes.
c. Interpret the region before, at, and after the intersection point in light of the context of the situation.
The expense function consists of two parts: the monthly payment for the car loan and the monthly cost of depreciation. The monthly payment can be calculated using the following formula: P = (r(PV)) / (1 - (1+r)^(-n)) = $1,062.66 per month. The depreciation function will be a straight line from $54,000 to $0 over a period of 10 years (or 120 months).
What is a depreciation function?A depreciation function is a mathematical model that explains how the worth of an object decreases over time. It denotes the pace at which the worth of an asset depreciates over time.
In the given question,
a. The expense function will consist of two parts: the monthly payment for the car loan and the monthly cost of depreciation. The monthly payment can be calculated using the following formula:
[tex]P = (r(PV)) / (1 - (1+r)^(-n))[/tex]
where P is the monthly payment, r is the monthly interest rate (4.875%/12 = 0.40625%), PV is the present value of the loan (54,000 - 8,000 = 46,000), and n is the total number of payments (4 years x 12 months per year = 48). Plugging these values into the formula, we get:
[tex]P = (0.0040625(46000)) / (1 - (1 + 0.0040625)^(-48)) = $1,062.66 per month[/tex]
The depreciation function will be a straight line from $54,000 to $0 over a period of 10 years (or 120 months), so the monthly depreciation can be calculated as:
d = (54000 - 0) / 120 = $450 per month
Therefore, the expense function E(x) and depreciation function D(x) are:
E(x) = 1062.66 + 450x
D(x) = 450x
where x is the number of months since the car was purchased.
b. The graph of the expense function and depreciation function on the same axes is attached.
c. At the intersection point (around 66 months), the monthly loan payment becomes greater than the monthly depreciation cost, meaning that Winnie is paying more each month than the car is depreciating. After 66 months, the expense function is increasing faster than the depreciation function, so the total value of the car is decreasing rapidly. By the end of 120 months, the car will have depreciated to a value of $0 and Winnie will have paid a total of $62,719.20 in loan payments.
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Which Values of x will make the expression?
The values of x that make the equation equals 0 are -3 and 3
How to determine the values of xThe equation given from the question is represented as
(6x^2 - 54)/(5x^2 - 20) = 0
The format of the above equation is that of a radical equation
For the expression to equal to 0, the numerator must be 0
So, we have
6x^2 - 54 = 0
Evaluate the like terms
6x^2 = 54
Divide both sides by 6
x^2 = 9
take the square root of both sides
x = -3 and x = 3
Hence, the solutions are -3 and 3
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A ride operator at an amusement park is standing 18 meters from the ferris wheel. His lines of sight to the top and the bottom of the ferris wheel form tangents and makean angle of 40°. What is the measure of the arc of the ferris wheel in which his lines of sight intersect?
HELP! WILL GIVE BRAINLIEST
The measure of the arc of the ferris wheel in which the lines of sight intersect is approximately 320.1 degrees.
Describe Arc?An arc is a segment of a curved line or curve that forms part of a circle or other curved shape. In geometry, an arc is defined as a part of a curve that is contained between two endpoints, known as the arc's endpoints.
Let's draw a diagram to help us visualize the problem:
B
/ \
/ \
18 / \
/ \
/ \
/ O \
/ \
/ 40° \
/ \
A----------------------------------C
Here, the ride operator is standing at point A, and the ferris wheel is centered at point O. Points B and C represent the top and bottom of the ferris wheel, respectively.
We want to find the measure of the arc BC that is intercepted by the lines of sight of the ride operator.
First, we can use trigonometry to find the height of the ferris wheel. We know that angle AOB (the complement of angle AOC) is 50° (since the angles in a triangle add up to 180°). Using trigonometry, we have:
tan(50°) = height / 18
height = 18 * tan(50°) ≈ 22.6
So the height of the ferris wheel is approximately 22.6 meters.
Next, we can use the height to find the distance between points B and C. Since the ferris wheel is a circle, we know that the distance between B and C is twice the height:
BC = 2 * height ≈ 45.2
So the distance between points B and C is approximately 45.2 meters.
Finally, we can use the distance between points A and O (which is 18 meters) and the distance between points B and O to find the angle that the lines of sight make with each other. Let's call this angle x. Using trigonometry again, we have:
tan(x) = height / (18 - r)
where r is the radius of the ferris wheel. Since we know that the distance between A and O is 18 meters and the height is approximately 22.6 meters, we can solve for r:
tan(x) = 22.6 / (18 - r)
(18 - r) * tan(x) = 22.6
18 - r = 22.6 / tan(x)
r = 18 - 22.6 / tan(x)
We also know that the distance between B and O is equal to the radius, so we have:
r = BC / 2 ≈ 22.6
Now we can solve for x:
18 - 22.6 / tan(x) ≈ 22.6
tan(x) ≈ 22.6 / (18 - 22.6)
tan(x) ≈ -5.65
x ≈ -79.9° (using arctan on a calculator)
Note that we get a negative angle because the lines of sight are intersecting below the horizontal line passing through the ferris wheel.
Finally, we can find the measure of the arc BC by using the central angle formula:
arc BC = x + 40° ≈ -39.9°
Again, we get a negative value because the arc is measured clockwise from point B. To get the positive measure of the arc, we can subtract this value from 360°:
arc BC ≈ 320.1°
So the measure of the arc of the ferris wheel in which the lines of sight intersect is approximately 320.1 degrees.
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2 The difference between -6.4 and a
number is 8.5.
Find two possible values for the number.
Answer: -14.9 and 2.1
Step-by-step explanation:
If you take -6.4 - 8.5 in one direction you get -14.9 .
And if you add them together (-6.4 + 8.5) you get 2.1,
those are two possible values depending on if you add or subtract the 8.5 .
Amna needs to make a total of 95 deliveries this week. So far she has completed 57 of them. What percentage of her total deliveries has Amna completed
If Anna has 95 deliveries to make and has delivered 57, she has completed 60% of the total deliveries.
To find the percentage of deliveries that Amna has completed, we can use the formula:
percentage = (part/whole) × 100
So in this case, the part is the number of deliveries Amna has completed, which is 57, and the whole is the total number of deliveries she needs to make, which is 95. Plugging these values into the formula, we get:
percentage = (57/95) × 100 %
percentage = 0.6 × 100 %
percentage = 60 %
Therefore, Amna has completed 60% of her total deliveries.
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If 270 students bought a cheese pizza or a pepperoni pizza, how many lunches were sold on Friday?
Option Percent
Cheese Pizza 50
Pepperoni Pizza 40
Fried Chicken 10
If each lunch costs $3.50, how much money will the cafeteria earn from all of the lunches?
The cafeteria earned $945 from all of the lunches sold on Friday.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let us calculate the number of students who bought each pizza.
Number of students who bought cheese pizza = 50% of 270 = 0.5 x 270 = 135
Number of students who bought pepperoni pizza = 40% of 270 = 0.4 x 270 = 108
Total lunches sold = Number of cheese pizzas sold + Number of pepperoni pizzas sold + Number of fried chicken sold
= 135 + 108 + 27
= 270
Therefore, a total of 270 lunches were sold on Friday.
To calculate how much money the cafeteria earned from all of the lunches, we can multiply the total number of lunches sold by the cost of each lunch:
Total earnings = Total lunches sold x Cost per lunch
= 270 x $3.50
= $945
Therefore, the cafeteria earned $945 from all of the lunches sold on Friday.
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2. You and a date order from ENTREE SALADS a Caesar Salad with
Salmon, from ENTREE SPECIALITA you order Lobster Ravioli and
your date orders Salmon. You share a dessert from SWEET
ENDINGS a Traditional Cannoli. The sales tax is 8% and you tip the
waiter $15.00. How much do you spend on your dinner date?
The total cost for the dinner date including sales tax and tip is $88.44.
What is the cost about?Let's calculate the cost of each item first:
Caesar Salad with Salmon from ENTREE SALADS: Let's assume it costs $15.00 Lobster Ravioli from ENTREE SPECIALITA: Let's assume it costs $25.00 Salmon from ENTREE SPECIALITA: Let's assume it costs $20.00 Traditional Cannoli from SWEET ENDINGS: Let's assume it costs $8.00Now, let's calculate the subtotal by adding up the costs of all the items:
Subtotal = $15.00 (Caesar Salad with Salmon) + $25.00 (Lobster Ravioli) + $20.00 (Salmon) + $8.00 (Traditional Cannoli)Subtotal = $68.00Next, let's calculate the sales tax by multiplying the subtotal by the tax rate:
Sales Tax = 8% x $68.00
Sales Tax = $5.44
Now, let's calculate the total cost by adding the subtotal and the sales tax:
Total Cost = Subtotal + Sales Tax
Total Cost = $68.00 + $5.44
Total Cost = $73.44
Finally, let's add the tip to get the final cost:
Final Cost = Total Cost + Tip
Final Cost = $73.44 + $15.00
Final Cost = $88.44
Therefore, the total cost for the dinner date including sales tax and tip is $88.44.
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Need Hotp? [-it.19 peints] spitcAtC7 6.5.02. is wmaller than aAy.? \[ \begin{array}{l} b=49, \quad c=46, \quad=C=26^{\circ} \\ \Delta A_{1}=1 \quad \therefore A_{2}= \\ x d_{1}= \\ \text { - }+B_{2}=
Without further clarification on the terms and the relationship between the variables and the given information, it is difficult to provide a complete and accurate answer to the problem.
It seems that there are several typos and irrelevant parts in the question, making it difficult to understand the problem and provide a clear and accurate answer. However, I will do my best to answer the question based on the information given.
In terms of "wmaller" and "aAy.", it is unclear what these terms are referring to or how they relate to the problem. It is also unclear what "peints" is referring to. Without further clarification on these terms, it is difficult to provide a complete answer.
Based on the given information, it seems that the problem is asking to solve for the unknown variables A2, x, and B2 in a triangle with sides b=49, c=46, and angle C=26 degrees. However, without knowing the relationship between these variables and the given information, it is difficult to provide a step-by-step explanation for solving the problem.
In conclusion, without further clarification on the terms and the relationship between the variables and the given information, it is difficult to provide a complete and accurate answer to the problem.
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[tex]\frac{10}{\sqrt{5} }[/tex]
Answer:
[tex]2 \sqrt{5} [/tex]
Is the simplified form
Step-by-step explanation:
Greetings!!!
Given expression
[tex] \frac{10}{ \sqrt{5} } [/tex]
factor the number 10:5.2
[tex] = \frac{5.2}{ \sqrt{5} } [/tex]
Apply radical rule
[tex]a = \sqrt{a} \sqrt{a} [/tex]
[tex]5 = \sqrt{5} \sqrt{5} \\ = \frac{ \sqrt{5} \sqrt{5}.2 }{ \sqrt{5} } [/tex]
Cancel the common factor :✓5
[tex] = \sqrt{5} .2 \\ = 2 \sqrt{5} [/tex]
If you have any questions tag me on comments
Hope it helps!!!
Answer:
2 * [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given: [tex]\frac{10}{\sqrt{5} }[/tex]
Using the basis formula, you simplify it to:
2×[tex]\sqrt{5}[/tex]
Which of the following is NOT a true statement? There are 2 possible answers. Choose one.
A. ∠EFC measures 80°
B. ∠BFC & ∠DFE have a sum of 90°
C. ∠AFD measures 130°
D. ∠AFB& ∠CFD are supplementary
Answer: C and D
Step-by-step explanation:
∠AFD measures 150°, not 130° and ∠AFB & ∠CFD are complementary, not supplementary.
OAB is a sector of a circle and OCB is a
right-angled triangle, as shown below.
Calculate the area of the shaded region ACB.
Give your answer to 1 d.p.
NEEDED ASAP
The area of the shaded region is 176.5 square centimeters rounded up to one decimal place.
How to evaluate for the area of the shaded regionTo get the area of the shaded region, we subtract the area of the sector from the area of the triangle as follows:
The angle m∠AOB = 180° - (34 + 90) {sum of interior angles of a triangle}
m∠AOB = 56°
area of sector = 56/360 × 22/7 × 26 cm × 26 cm
area of sector =14872/45 cm²
area of sector = 330.4888 cm²
area of the triangle = 1/2 × 26 cm × 39 cm
area of the triangle = 507 cm²
area of the shaded region = 507 cm² - 330.4888 cm²
area of the shaded region = 176.5111 cm²
Therefore, the area of the shaded region is 176.5 square centimeters rounded up to one decimal place.
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Slope distance AB and BC measure 330.49m and 660.97 m,
respectively. The difference in elevation is 10.85 m for B and C. Using
the slope correction formula, determine the difference in elevation for
A and B if the horizontal length of line ABC is 991.45m. Assume the
line AB has a rising slope and BC has a falling slope.
The difference in elevation for A and B is the difference in elevation for line AB minus the slope correction: D = 330.422m
The slope correction formula is:
C = L * (D^2 / (2 * R)), Where:
- C is the slope correction
- L is the horizontal length of the line
- D is the difference in elevation
- R is the Earth's radius
For line BC, we can plug in the given values to find the slope correction:
C = 660.97m * (10.85m^2 / (2 * 6371000m))
C = 0.059m
For line AB, we need to find the difference in elevation first. We can do this by subtracting the slope correction from the slope distance:
D = 330.49m - 0.059m
D = 330.431m
Now we can plug in the values for line AB into the slope correction formula: C = 330.431m * (330.431m^2 / (2 * 6371000m)) C = 0.009m
The difference in elevation for A and B is the difference in elevation for line AB minus the slope correction:
D = 330.431m - 0.009m
D = 330.422m
Therefore, the difference in elevation for A and B is 330.422m.
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11. Whin in an equatiom mor wadets the wharise denchbed stiwe? a)C(x)−60x+4
b)C(x)=−60x+4
c)C(x)−−4x+60
d)C(x)=4x+60
e)C(x)−4x+4
The correct answer is d)C(x)=4x+60. This is because an equation should have an equal sign to show that both sides of the equation are equal.
Additionally, the variable "x" should be on one side of the equation and the constants should be on the other side. In this case, the variable "x" is multiplied by 4 and the constant is 60, making the equation C(x)=4x+60. This equation shows the relationship between the variable "x" and the function "C(x)".
It is important to note that the other options are not correct because they do not have an equal sign or the variable and constants are not on the correct sides of the equation. Option a)C(x)−60x+4 does not have an equal sign, option b)C(x)=−60x+4 has the variable and constants on the wrong sides of the equation, option c)C(x)−−4x+60 does not have an equal sign, and option e)C(x)−4x+4 does not have an equal sign.
Therefore, the correct answer is d)C(x)=4x+60.
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the item to the trashcan. Click the trashcan to cle Solve this equation by completing the square. 3x^(2)-4x=-2
The solutions to this 3x^(2)-4x=-2 are x=(2/3)+i*√(2/9) or x=(2/3)-i*√(2/9).
To solve this equation by completing the square, we need to first rearrange the equation and then complete the square for the x terms. Here are the steps:
1. Rearrange the equation:
3x^(2)-4x=-2 becomes 3x^(2)-4x+2=0
2. Divide the entire equation by the coefficient of the x^(2) term:
(3x^(2)-4x+2)/3=0/3 becomes x^(2)-(4/3)x+(2/3)=0
3. Complete the square by adding the square of half the coefficient of the x term to both sides of the equation:
x^(2)-(4/3)x+(2/3)+(4/3)^(2)/4=(4/3)^(2)/4 becomes x^(2)-(4/3)x+(4/9)=(4/3)^(2)/4-(2/3)
4. Simplify the right side of the equation:
(4/3)^(2)/4-(2/3)=(16/9)/4-(2/3)=(4/9)-(2/3)=(4/9)-(6/9)=-(2/9)
5. Factor the left side of the equation:
(x-(2/3))^(2)=-(2/9)
6. Take the square root of both sides of the equation:
x-(2/3)=+/-sqrt(-(2/9))
7. Solve for x:
x=(2/3)+/-sqrt(-(2/9)) becomes x=(2/3)+i*sqrt(2/9) or x=(2/3)-i*sqrt(2/9)
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y=5x2+3x-2 maximum minimum?
Answer:
its 0183
Step-by-step explanation:
jfirst queal then u have to divided then zjs
Answer: It is a minimum
Step-by-step explanation:
It is a minimum because the coefficient (5) is positive.
Hi urgent I need help today is my birthday all I ask is for anyone to help me with mark h questions the subject is algebra two mode, median and mean please this is serious and a cry for help if your interested please let me know also please feel free to ask for time zone and anything else thank you
Brainly will be issued as well
Answer:
Step-by-step explanation:
I am definitely willing to help anyone with algebra!
It seems you need explanations on mode, median and mean. First, let's remember that these terms are related to data sets.
Example: I have a list of grades in Algebra 2, which list off as 94, 94, 95, 96, 98, 99, 99, 99, 99, 100.
I want the mode, median and mean. The mode is the number that appears the most in a data set, the median is the number in the exact middle of a data set, and the mean is the average value of the data set.
Mode: The number that appears most in this list of grades is 99. My mode is 99, and usually people use this to represent the whole of a data set, especially when the mode appears in the majority of the data set, at least 80% of the data set.
Median: My median is basically the number in the middle of the list. Since I have an even number of 10 grades, I need to find the two numbers closest to the middle, which is 98 and 99, the fifth and sixth term. I find the average of these two numbers- (98+99)/2 = 98.5. This is my median grade. This is usually used to represent data sets when describing demographics.
Mean: This is the average of the whole data set, which means we add up all the numbers and divide them by the number of items there are. Since we have ten grades in the data set, I add (94+94+95+96+98+99+99+99+99+100)/10 = 97.3
This is my mean, which represents my average grade. The mean is used a lot when teachers create our report cards! Hope this helps, but if you need anything else, feel free to comment back on this. If you want, my electronic mail account is my username and I use g mail dot com. Feel free to each out, and Happy Birthday!