The surface age. The surface age is the amount of time that has passed between the start of a surface's or interface's creation and the observation or measurement. A continuous probability distribution called a normal distribution has values distributed symmetrically, primarily in an area around the mean.
What exactly does "normal distribution" mean?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.Because the probability density graph of the normal distribution resembles a bell, it is frequently referred to as the bell curve. In honor of the German mathematician Carl Gauss, who initially characterized it, it is often referred to as the Gaussian distribution.The normal distribution defines how a variable's values are distributed, just like any probability distribution does. Because it accurately depicts the distribution of values for many natural occurrences, it is the most significant probability distribution in statistics.To learn more about Normal distribution refer to:
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ASAP!! 9x - 5x + 18 = 2x + 34
Solve for X and include all steps for branliest pls + thank you
Antarctica's Average Low temperature
about -71 degrees Fahrenheit
branliest?
3. if the 90% confidence limits for the population mean are 34 and 46, which of the following could be the 99% confidence limits a) (36,41) b) (39,41) c) (30,50) d) (39,43) e) (38,45) 4. given that the population standard deviation is 7500 and a 95% confidence level. what should be the sample size if we want the margin of error to be m
a) Option D, (39,43) could be the 99% confidence limit.
b) The determined minimum sample size is 166.
a) For a given sample size, the confidence interval is just the range of values including the real population mean. The confidence interval is interpreted as follows:
The real population mean are contained in around 95% of the estimated confidence intervals.
The breadth of the interval and the confidence level (including 95% or 99%) have a positive connection.
As the confidence level rises, the range of both the confidence interval expands, implying that the lower limit of the interval shrinks and the top bound of the interval expands.
Option B is the correct one among the available possibilities since it entirely follows the pattern. When compared to a 99% confidence interval, 33 should be less than 34, and 46 is more than 43.
b) s = Standard Deviation = $7,500 m = Margin of Error = $1,500 z = Empirical z-score at 95% CI = 2.575
The random sample for a 95% confidence interval is calculated as follows:
= (Z × s)² ÷ m²
= (2.575 × s)² ÷ m²
= (2.575 × 7500)² ÷ (1500)²
= 165.76
≈ 166
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What is equivalent to 1 1/4 +2/5???
Answer:
1 13/20
Step-by-step explanation:
What expressions are equivalent to 1/5^(-1)
The result of the expression [tex]\frac{1}{5^{-1} }[/tex] is 5
The expression is [tex]\frac{1}{5^{-1} }[/tex]
To solve this problem first we have to rearrange the terms and do the arithmetic operations on the expression.
Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication. We have to use this operations on the like terms of the expression. To solve the mathematical expression we have to do the arithmetic operation on like terms.
The expression is [tex]\frac{1}{5^{-1} }[/tex]
We know
[tex]\frac{1}{a^{-1} }[/tex] = a
Apply this method in the expression
[tex]\frac{1}{5^{-1} }[/tex] = 5
Hence, The result of the expression [tex]\frac{1}{5^{-1} }[/tex] is 5
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1206x77=
543x18=
750x81=
6755x9=
869x46=
Please help me
answers:
1. 92,862
2. 9,774
3. 60,750
4. 60,705
5. 42,581
its in order like u put it in THE SAME ORDER.
An airplane covered the ff. distances in three separate trips.
Hongkong-Manila: 1116 kilometers
Singapore-Manila: 2391 kilometers
Korea-Manila: 2601 kilometers
A. What is the average distance traveled by the airplane in the three trips?
B. If the airplane travels with an average speed of 760km/h, how long will it take the airplane to travel in each flight? which trip took the longest time to travel?
The average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours.
Given the distance that an airplane covered in three different trips:
Hongkong-Manila: 1116 kilometers, Singapore-Manila: 2391 kilometers,
Korea-Manila: 2601 kilometers.
We are required to find the average distance traveled by the airplane in the three trips, the time it took in each trip if the speed of airplane is 760 km/h and the trip that took the longest time to travel.
Average distance that airplane travelled in the three trips=(1116+2391+2601)/3
=6108/3
=2036 kilometers
We know that speed=distance/time.
Time=Distance/speed
Time in trip from Hongkong to Manila=1116/760=1.468 hours
Time in trip from Singapore to Manila=2391/760=3.146 hours
Time in trip from Korea to Manila=2601/760=3.422 hours
We can observe that the trip from Korea to Manila took longest time to travel.
Hence the average distance that the airplane covered in three flights is 2036 kilometers, time in trip from Hongkong to Manila is 1.468 hours, time in trip from Singapore to Manila is 3.146 hours, time in trip from Korea to Manila is 3.422 hours and the trip from Korea to Manila took longest time to travel.
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What is the gradient of a line perpendicular to a line with a gradient of -2/3?
The gradient of a line perpendicular to a line with a gradient of −2/3 is 3/2.
Gradient of a line
The gradient of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line. The gradient of a line is helpful to find the inclination or steepness of a line.
We know that,
The product of gradient of two lines perpendicular to each other is equal to -1.
Let the gradient of the other line be m.
Hence, according to the data given in the question, we can write,
(-2/3)*m = -1
m = -1*(-3/2)
m = 3/2
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HELP ME PLEASE
Find the slope if it exist of the line containing the pair of points
(2,6) and (8,-10)
The slope m=
The slope of a line is equal to -8/3.
What is the slope of a line?
The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's slope in mathematics. Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.
Locate two locations along the chosen line and find their coordinates.
Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).
The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points.
Given that, coordinates are (2, 6) and (8, -10)
m = (-10 - 6)/8 - 2
m = -16/6 = -8/3
The slope of a line is equal to -8/3.
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Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. PLSSSSSSS HELPPPP SHOW UR WORK TO ON HOW YOU FIGURED IT OUT THE EQUATION FOR IT USE SLOPE TOO ILL INCLUDE AN IMAGE TOO
The linear function that represents the trend line is given by:
C(f) = 50f + 100.
What is a linear function?A linear function is defined according to the following rule:
y = mx + b.
In which the parameters m and b are defined as follows:
m is the slope of the function = rate of change.b is the y-intercept of the function = initial value.For the trend line, when fat = 0, calories = 100, hence the intercept of the function is given by:
b = 100.
When the fat increases by 2, the calories increase by 100, hence the slope is given by:
m = 100/2 = 50.
This constant rate of change is true for the entire trend line, hence it represents a linear function.
The function is given by:
C(f) = 50f + 100.
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John opens a checking account with $100. He writes a check for $110. The back charges an overdrawn fee of $25. What is his account balance?
A scale diagram of a castle is drawn using a scale of
1 cm to 5 m.
The castle is 30 m tall in real life.
How tall is the diagram of the castle?
Give your answer in centimetres (cm).
The required length of the castle in centimeters is 3000 meters.
How to convert various measurement units?
Divide the smaller unit's value by the quantity of smaller units required to create the larger unit (for example, to) to get the larger unit. Multiply to change from a larger to a smaller unit. Divide to change from a smaller unit to a larger one.
1. Determine which device you have. The starting units are these.
2. Choose the desired unit. The desired units are those.
3. Choose the proper unit conversion factor (s).
4. Discontinue units and carry out the computations in math (e.g., multiply, divide)
5. Assess the outcome.
Given is a castle whose height is 30 meters
To convert this height intro centimeters we need to multiply the given number with 100.
Thus the length of the castle is 30 × 100 centimeters
which is equal to 3000 centimeters.
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Which of the following are equal to the expression below? Check all that apply.
A.
B.
C.
D.
4
Answer:
B, C
Step-by-step explanation:
√16 = 4 and √64= 8
so if √16 / √64,
then 4/8
lastly, 4/8 equals to 1/2
you can find this because 4 goes into 4 and 8 so 4/4=1 and 8/4=2
so 1/2
hope this helps :)
PLS HELP MEE!!!! )
What does Point P on the number line represent? (Use the hyphen for negative numbers, such as –5)
Answer:
Step-by-step explanation:
Because P is located between -8 and -10, your answer would be P=-9. I hope this answered your question!
please heLP! IM BEING TIMED!
The perimeter of the figure measures 38 inches.
What is the perimeter of the figure in the image?
The perimeter will be equal to the sum of the measures of each side of the figure.
We can see that the bottom side measures 13 inches, and also does the top side (where the top side is "broken" into two parts).
Similarly, the right side measures 6 inches, and also does the left side, only that the left side is broken into two parts.
Then the perimeter of the figure is:
P = 13in + 13in + 6in + 6in = 26in + 12in = 38in
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What is the value of x?
What is the missing length?
Please answer quick
Answer:
3.2
Step-by-step explanation:
what is the lowest common multiple of 16 and 40?
Answer:
80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
LCM of 16 and 40 is 80. Among all common multiples of 16 and 40, the LCM of 16 and 40 is the smallest number. (16, 32, 48, 64, etc.) and (40, 80, 120, 160, 200, 240, etc.)
0.lq + 2.99 = 0.2q + 1.99
Given:
[tex]0.1q+2.99=0.2q+1.99[/tex]Find:-
Value of "q"
Explanation-:
Value of q is:
[tex]\begin{gathered} 0.1q+2.99=0.2q+1.99 \\ \\ 2.99-1.99=0.2q-0.1q \end{gathered}[/tex]So,
[tex]\begin{gathered} 0.2q-0.1q=2.99-1.99 \\ \\ 0.1q=1 \\ \\ q=\frac{1}{0.1} \\ \\ q=10 \end{gathered}[/tex]So, th
Mathematical Connections: The composite solid is made up of a cube and a rectangular prism.
(Picture below)
a. Write a polynomial that represents the volume of the composite solid.
b. The volume of the composite solid is equal to 25x. What is the value of x? Explain your reasoning.
a) The volume of the composite figure is represented by the cubic equation V = x³ + 16 · x.
b) The measure of the missing side x in the composite figure is 3 inches.
How to determine missing length of a composite figure
a) In the first part of the question we need to derive the volume formula of the composite figure, which is the sum of the volumes of the cube and the rectangular prism:
V = V' + V''
V = x³ + 16 · x, where x is in inches.
The volume is represented by V = x³ + 16 · x.
b) If we know that V = 25 · x, then the measure of the missing side is:
First, set the volume formula found in section a):
V = x³ + 16 · x
Second, replace the volume:
25 · x = x³ + 16 · x
Third, simplify the expression and clear x within the resulting equation by algebra properties:
25 = x² + 16
x² - 9 = 0
x² = 9
x = 3
The measure of the missing side x is 3 inches.
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(x + 3) (x + 5) expanded
Expansion of (x + 3) (x + 5) [tex]=x^{2} +8x+15[/tex]
How is the expansion done?
Applying the Product of binomials rule,
(x+a) (x+b) = [tex]x^{2} +(a + b)x +ab[/tex]
Here, in the given expression:
a = 3 and b = 5
[tex](x + 3) (x + 5) =x^{2} +(3 + 5)x +15\\\\ =x^{2} +8x+15[/tex]
What is the product of binomials rule?
The FOIL (First Outer Inner Last)method is being applied to multiply binomials quickly. It is the arrangement of multiplying terms in a two-binomial product.The expression for the product of the sum and difference of two binomials is (x + y) (x- y) Assume that each binomial is a difference rather than a sum the the resultant expression is in (x- y) (x -y).To learn more about product of binomials, refer:
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Solving linear functions The sum of the measures of the triangles of all triangles is 180 degrees if one angle of the triangle measures 45 degrees, and the other two angles are equal, what is the measure of each of the other two angels.
Solution
Step 1:
Let the other two equal angles be x.
Step 2:
Sum of angles in a triangle is 180 degrees:
[tex]\begin{gathered} x\text{ + x + 45 = 180} \\ \\ 2x\text{ = 180 - 45} \\ \\ 2x\text{ = 135} \\ \\ x\text{ = }\frac{135}{2}\text{ = 67.5} \end{gathered}[/tex]Answer
The measure of the other two angles is 67.5
Find the volume of this object.Use 3 for .Volume of a ConeV=Tr2hSin3Volume of aRectangular PrismV = lwh9inbin1in[V ~ [?]in39in
To find the volume of the figure.
volume of the figure=volume of the cone+volume of the rectangle prism.
[tex]\begin{gathered} v_1=\frac{\pi r^2h}{3} \\ r=3,h=8 \\ v_1=\frac{3\cdot3\cdot3\cdot8}{3} \\ =72in^3 \end{gathered}[/tex][tex]\begin{gathered} v_2=\text{lwh} \\ l=9,h=9,w=1 \\ v_2=9\cdot9\cdot1 \\ =81in^3 \end{gathered}[/tex]volume of the figure=72+81=153 inch cube.
what annual medical costs will ronald pay using the sample medical expenses provided if he enrolls in the blue cross/blue shield plan?
Annual Medical cost = 1269.86
monthly premium cost to Ronald for the Blue Shield plan = $48.48.
For all doctor office visits, prescriptions, and major medical charges, Ronald will be responsible for 35 percent and the insurance company will cover 65 percent of covered charges.
The annual deductible cost = $630.
Ronald decided to review his medical bills from the previous year to see what costs he had incurred and to help him evaluate his choices. He visited his general physician 6 times during the year at a cost = $105 for each visit.
He also spent $71 and $95 on two prescriptions during the year.
= (Monthly premium cost × 12) + Deductible cost + (Coinsurance percent × Coinsurance expenses)
= (48.48 x 12) + 630 + (0.35 x 166)
= 1269.86
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the polynomial long division of 2x^3 + 4x^2 + 5x - 1 results in a remainder of -4. which correctly expresses the remainder
Answer:
the correct answer will be
-4
Step-by-step explanation:
2^×3+4×^2+5×-1
whenever doing a division, we have a dividend, a divisor and a resulting quotient.
now, the remainder is hmm what remains that wasn't divisible by the divisor, so we can write the quotient as hmmm
"well, here's the quotient, ohhhh!! btw it has a remainder here, which wasn't divisible by the divisor, and since it wasn't by the divisor, let me just show it as that, "the one that is being divided by the divisor"
so if say we divide hmmm 8 by 3, we get a quotient of 2 and a remainder of 2, so we can write the quotient as 2 + 2/3
now for this case [tex]\textit{\LARGE Quotient}~~ - ~~\cfrac{4}{2x^3+4x^2+5x-1}[/tex]
For the function y=x^2-15x+10,work out the coordinates of the y-intercept
The coordinates of y-intercept are [tex](0,10)[/tex]
What is the y-intercept of a function?
When a graph crosses the y-axis, that location is known as the y-intercept. It is the value of y at x=0, to put it another way.
We are given a function [tex]y=x^{2} -15x+10[/tex].
We have to find the y-intercept of the above function.
to find that we put [tex]x=0[/tex] in the above function we get,
[tex]y=x^{2} -15x+10\\y=0^{2}-15(0)+10\\ y=10[/tex]
The coordinates of y-intercept can be given as [tex](0,10)[/tex].
Hence the coordinates of y-intercept are [tex](0,10)[/tex].
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Find the two values x can have if [tex]x^{2}[/tex] - 14=50
The two values of x in the equation are x = -8 and x = 8
How to determine the values of x and y?The equation is given as
x² - 14 = 50
Add 14 to both sides of the equation
So, we have the following equation
x² - 14 + 14 = 50 + 14
Evaluate the like terms
So, we have the following equation
x² = 64
Take the square roots of both sides
√x² = ±√64
Evaluate the square roots
So, we have the following equation
x = ±8
Split
x = -8 and x = 8
Hence, the values are x = -8 and x = 8
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-3.7+1/4 Write your answer as a decimal to the nearest hundredth.
Helena can buy 2 shirts for $25 or 3 shirts for $36. do these quantities have a proportional relationship? explain. yes; the ratio of cost to shirts is equivalent. yes; the constant of proportionality is 12. yes; the constant of proportionality is 12.5. no; the ratio of cost to shirts is not equivalent.
The quantities do not have a proportional relationship because the ratio of the cost to shirts is not equivalent.
Are the quantities proportional?The two quantities would have a proportional relationship if the constant of proportionality are equal. The constant of proportionality would be equivalent to the cost of one shirt.
The equation that can be used to determine the constant of proportionality is:
k = y / x
Where:
y = total cost of the shirts x = number of shirts boughtk = 25 / 2
k = 12.60
k = $36 / 3
k = $12
The quantities are not proportional because the constant of proportionality are different.
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Can someone help please
Answer: X= 50
Step-by-step explanation:
To be able to solve this, you must identify vertical angles, as well as a linear pair.
The angle next to the angle of 103 is in a linear pair. This means they both add up to 180.
180- 103 = 77. The angle that is next to the angle of 103 is 77.
You have two angles in a triangle. You can use the triangle sum theorem, which states that all angles of a triangle add up to 180.
180- (53+ 77)= the third angle
180- 130 = 50 (the third angle)
The third angle of the triangle is a vertical angle in relation to x. All vertical angles are equal. This means that x= 50°.
