Answer:
Part 1:
Range = 98 - 23 = 75
Part 2:
First, find the sample mean:
Mean = (23 + 53 + 67 + 61 + 66 + 91 + 27 + 85 + 98 + 44 + 73)/11 = 61.9
Then, find the sum of the squared differences between each jersey number and the mean:
(23-61.9)^2 + (53-61.9)^2 + (67-61.9)^2 + (61-61.9)^2 + (66-61.9)^2 + (91-61.9)^2 + (27-61.9)^2 + (85-61.9)^2 + (98-61.9)^2 + (44-61.9)^2 + (73-61.9)^2 = 12388.4
Sample variance = 12388.4/10 = 1238.84
Sample standard deviation = √1238.84 = 35.17
Part 3:
Sample variance = 1238.84
Part 4:
The results tell us that there is a relatively large range in jersey numbers, with a difference of 75 between the highest and lowest numbers. The sample variance and standard deviation also indicate that there is a considerable amount of variability in the data, with jersey numbers varying significantly from the mean. This suggests that there is no pattern or structure to the jersey numbers on the football team, and that they are assigned somewhat randomly.
Step-by-step explanation:
Kurt uses 3 cups of flour for every 2 cups of sugar in a recipe. How many cups of sugar will he need if he uses 6, 9, or 12 cups of flour?
Answer: 6 cups of flour = 4 cups of sugar
9 cups of flour = 6 cups of sugar
12 cups of flour = 9 cups of sugar
Step-by-step explanation:
Well, if Kurt uses 3 cups of flour for every 2 cups of sugar, than for every 6 cups of flour, he would need 4 cups of sugar. With 9 cups of flour, he would need 6 cups of sugar. For 12 cups of flour, he would need 9 cups of sugar.
77 (10)(3) 303)
11(2)(33 )
9. A pizza with a radius of 7 inches is cut into 12 equal-sized pieces. What is the area of each
piece? Round to the nearest hundredth of an inch.
Each piece of pizza has an area of 4.08π square inches.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The area of a circle with radius r is given by the formula A = πr².
The pizza has a radius of 7 inches
Area of pizza is A = π(7²) = 49π square inches.
The pizza is cut into 12 equal-sized pieces
which means each piece represents 1/12th of the total area of the pizza.
Therefore, the area of each piece is:
(1/12) × 49π = 4.08π square inches
Hence, each piece of pizza has an area of 4.08π square inches.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ9
What is the lowest common multiple of 5,2,15 and 30
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Answer:
The correct answer that you are looking for is the following equations make x = 2 correct: x2 - 4 = 0, 4x2 = 16, and 2(x-2)2 = 0
The following equations make x = -2 correct: x2 = -4, and 3x2+12=0
Step-by-step explanation:
When finding out if x fits a certain number, there are many things to keep in mind, such as making sure that both sides are equal, making that if x changes the equation is resolved correctly, and also having to solve all the equations, of course.
The strategy that I chose was replacing x with either 2, or -2, and whichever one matched the final result would mean that x does equal that term.
Another strategy that could be more beneficial is solving the equation with step-by-step ideas.
I replaced x as 2 in x2 - 4 = 0, 4x2 = 16, and 2(x-2)2 = 0 and they matched the result.
For the remaining equations that didn't match the result I replaced x with -2 and then they finally matched.
I replaced x as -2 in x2 = -4, and 3x2+12=0 and they matched the result.
If in any shape or form, I was incorrect please inform me and I'll attempt to resolve the issue and see my mistake, sorry if thi was wordy and long.
I hope this was helpful!
Question 10
8 pts
At Dunkin Donuts, you can get 12 donuts for $10 or you can get 6
donuts for $6.99.
Which is the better deal, 12 or 6? Explain your answer.
The better deal is 12 donuts for $10 because the unit rate is $0.83.
How to determine the unit price?Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In order to determine the unit price, we would determine the unit price for number of donuts by using the following mathematical expression;
Unit price = Cost of donuts/Number of donuts
Substituting the given parameters into the unit price formula, we have the following;
Unit price = $10/12
Unit price = $0.83.
For the second deal, we have:
Unit price = $6/6.99
Unit price = $0.86.
Read more on unit price here: brainly.com/question/25381934
#SPJ1
A roll has 12 yards of ribbon. Haley uses 6 feet of the ribbon for a swing project. How many feet of ribbon are left on the roll? Show your work?
A roll has 12 yards of ribbon. Haley uses 6 feet of the ribbon for a swing project. There are 30 feet of ribbon are left on the roll.
What is feet?The foot is a unit of measurement. Length is measured by feet.
First, confirm that the numbers use the same measuring units. We can see that Haley used 6 feet out of the roll's 12 yards.
Three feet make up a yard.
Because 6 is equivalent to twice as much as 3 feet and 2 is equal to twice as much as 1, 6 feet would be equal to 2 yards.
So, we must take away 2 from 12; 12-2 equals 10.
Recall that the question asks for feet, therefore we may multiply 10 by 3 to get how many feet are still available.
10 x 3 = 30,
So, 30 feet of ribbon is left on the roll.
Learn more about feet, here:
https://brainly.com/question/2344390
#SPJ1
In a daycare with 125 children, there are 43 babies, 15 one-year olds, 20 two-year olds, 13
three-year olds, and 9 four-year olds. What is the probability that a randomly selected child is a
two-year old?
Answer:
20/125 is the answer
Step-by-step explanation:
On a standardized science test, the seniors at a high school have a mean score of 425 with a standard deviation of 80. What is the probability that a random sample of 50 seniors has a mean score of at most 415?
The response to the given question would be that As a result, there is a probability 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.
What is probability?Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.
The sample mean's sampling distribution may be approximated using the central limit theorem as having a mean of 425 and a standard deviation of[tex]80\sqrt(50) = 11.31.[/tex]
z is equal to (x - mu) / (sigma / sqrt(n))
where n is the sample size, x is the sample mean, mu is the population mean, sigma is the population standard deviation.
When we enter the values, we obtain:
[tex]z = (415 - 425) / (80\sqrt(50)) = -2.23[/tex]
As a result, there is a 1.3% chance (or about 0.013) that a random sample of 50 seniors will have a mean score of no higher than 415.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
The formula N = p + 0.04p models the new population, N, of a town with current population p if the town is expecting population growth of 4% next year. Find the new population of a town whose current population is 4300 persons
N=? persons
Answer:
Step-by-step explanation:
To find the new population, we can substitute p = 4300 into the formula:
N = p + 0.04p
N = 4300 + 0.04(4300)
N = 4300 + 172
N = 4472
Therefore, the new population of the town is 4472 persons.
This is a picture of a coordinate grid.(click the picture) which ordered pair describes a point that is located three units to the left of the origin and for units above the x axis.
A, (-3, 4)
B, (3, -4)
C, (-4, -3)
D, (4, -3)
Answer:
Step-by-step explanation:
A- (-3,4)
left on the x-axis would result in negative 3
4 units above the x-axis would result in postive 4
Which function has the same zeros as h(x) = (x² - 4)(x² - 9)?
The function which has the same zeros as h(x) = (x² - 4)(x² - 9) is f(x) = (x - 2)(x + 2)(x - 3)(x + 3).
To determine which function has the same zeros as h(x) = (x² - 4)(x² - 9), we need to first find the zeros of h(x).
The zeros of h(x) are the values of x that make h(x) equal to zero.
h(x) = (x² - 4)(x² - 9)
h(x) = 0 if and only if (x² - 4) = 0 or (x² - 9) = 0
Solving for x, we get -
x² - 4 = 0 -> x = ±2
x² - 9 = 0 -> x = ±3
So, the zeros of h(x) are x = ±2 and x = ±3.
Now, we need to find the function that has the same zeros.
A function that has the same zeros will have the same factors of (x - 2), (x + 2), (x - 3), and (x + 3).
One such function is -
f(x) = (x - 2)(x + 2)(x - 3)(x + 3)
Therefore, this function has the same zeros as h(x) = (x² - 4)(x² - 9).
To learn more about function from the given link
https://brainly.com/question/2284360
#SPJ1
Answer:
Step-by-step explanation:
Oil change at Citi auto is regular $30 Mr. Allen has a coupon for 15% off he wants to know the sale price of the service which equation can be used to find the cell price S of an oil change
S = 30 - 0.15(30) or S = 0.85 can be used to calculate the sale price S of an oil change (30).
What are an example and an equation?By resolving this equation, we find that the value of the variable x is 7. An equation is a mathematical formula that states that two quantities or values are equal, as in the example 6 x 4 = 12 x 2.
S will serve as a stand-in for the sale price of the oil change.
Mr. Allen has a 15% off voucher, and the oil change normally costs $30. The reduction can be shown as 15% of the standard price, or:
0.15 * $30 = $4.50
We can deduct the discount from the list price to determine the oil change's selling price:
S = $30 - $4.50
S = $25.50
As a result, S = 30 - 0.15 can be used to calculate the sale price S of an oil change (30)
To know more about sale price visit:-
https://brainly.com/question/29363568
#SPJ1
Answer:
The answer is s=0.85*30=22.50(final sale price) which will be 15 % of the 30 dollars
Step-by-step explanation:
Let A = {1, 2, 3, 4, 5} B = {1, 3, 5} C = {4, 6}. Find the cardinality of the given set.
34. n(B)
36. n(A ⋂ C)
The cardinality of B and (A ⋂ C) will be n(B) = 3 and n(A ⋂ C) = 1.
What is cardinality?In mathematics, cardinality refers to the size or number of elements in a set. It is a concept used to compare the sizes of sets, regardless of their specific elements. For instance, the cardinality of the set {1, 2, 3} is 3, while the cardinality of the set {2, 4, 6, 8, 10} is 5. Cardinality is typically denoted using vertical bars, such that |S| represents the cardinality of set S.
Now,
The symbol "n(S)" represents the cardinality
Given sets:
A = {1, 2, 3, 4, 5}
B = {1, 3, 5}
C = {4, 6}
To find the cardinality of the sets:
n(B) = 3
Set B has three elements: 1, 3, and 5.
n(A ⋂ C) = 1
The intersection of sets A and C is the set of elements that are in both A and C. Since A and C only have one element in common (the number 4), the cardinality of the intersection set A ⋂ C is 1. Therefore, n(A ⋂ C) = 1.
To know more about cardinality visit the link
https://brainly.com/question/29093097
#SPJ1
could you help with the question pls?
By using distributive property, an estimate for sin((π/6 + ε)(1 - ε)) is approximately 0.5108.
What is sinx ?
sinx is a trigonometric function that represents the ratio of the length of the side opposite to an angle x in a right-angled triangle to the length of the hypotenuse of the triangle. In other words, it is the sine of the angle x.
The sine function is typically denoted as sin(x), where x is the measure of an angle in radians. It is defined as follows:
sin(x) = opposite side / hypotenuse
According to the question:
We can use the small angle approximation sin(x) ≈ x for small angles x to estimate[tex]sin((\pi /6 + \epsilon)(1 - \epsilon))[/tex], where ε = 0.01.
First, we can expand the expression using the distributive property:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) = sin(\pi /6 - \epsilon^2 +\epsilon /6)[/tex]
Since ε is small, we can use the small angle approximation to estimate the value of sin(ε/6):
[tex]sin(\epsilon /6) =\epsilon/6[/tex]
Next, we can use the fact that [tex]sin(\pi /6) = 1/2[/tex] to estimate [tex]sin(\pi /6 - \epsilon ^2)[/tex] :
[tex]sin(\pi /6 - \epsilon ^2) ≈ sin(\pi /6) = 1/2[/tex]
Substituting these approximations into the original expression, we get:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) =sin(\pi /6 - \epsilon^{2} + \epsilon/6) =sin(\pi /6) + sin(\epsilon/6) - sin(\epsilon^{2} )sin((\pi /6 + \epsilon)(1 - \epsilon)) = 1/2 + \epsilon/6 - sin(\epsilon^{2} )[/tex]
Finally, we can use the fact that sin(x) is approximately equal to x for small values of x to approximate [tex]sin(\epsilon^{2} ) as \epsilon^{2}[/tex]:
[tex]sin(\epsilon^2) = \epsilon^2[/tex]
Substituting this approximation into the previous expression, we get:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) ≈ 1/2 + \epsilon/6 - \epsilon^2[/tex]
Now, we can substitute the value of ε = 0.01 into this expression to get an estimate:
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) ≈ 1/2 + 0.01/6 - 0.01^2[/tex]
[tex]sin((\pi /6 + \epsilon)(1 - \epsilon)) =0.5108[/tex]
Therefore, an estimate for sin((π/6 + ε)(1 - ε)) is approximately 0.5108.
To know more about sinx visit:
https://brainly.com/question/1504192
#SPJ1
I am trying to answer this please help?
Answer:i cant tell upside down
Step-by-step explanation:
so like huh
Note: Figure is not drawn to scale. If x = 9 units, y = 3 units, and h = 7 units, find the area of the rhombus shown above using decomposition.
The area of the rhombus is twice the area of one triangle:
A_rhombus = 2 * A
A_rhombus = 2 * (21/4)√10
A_rhombus = 21/2 * √10
The area equation is what.A form's area is determined using the surface. To calculate the area of a rectangle or square, multiply its length and width. A is x times y in size.
To find the area of the rhombus, we can decompose it into two congruent triangles and find the area of one triangle, then multiply it by 2 to get the area of the whole rhombus.
The height of each triangle is h = 7 units, and the length of the base of each triangle is half the length of a diagonal of the rhombus. Using the Pythagorean theorem, we can find the length of the diagonal:
d² = x² + y²
d² = 9² + 3²
d² = 90
d = √90 = 3√10
Therefore, the length of the base of each triangle is 1/2 * 3√10 = (3/2)√10 units.
The area of one triangle is:
A = (1/2) * base * height
A = (1/2) * (3/2)√10 * 7
A = (21/4)√10
The area of the rhombus is twice the area of one triangle:
A_rhombus = 2 * A
A_rhombus = 2 * (21/4)√10
A_rhombus = 21/2 * √10
Therefore, the area of the rhombus is 21/2 * √10 square units.
To know more about area visit:
https://brainly.com/question/27683633
#SPJ1
Consider the sequence: 7, 13, 19, 25, 31,…
Which expression describes this sequence, using n
to represent the position of a term in the sequence, where n=1
for the first term?
The full expression is 6n+1. We can find the solution of the given sequence in the following manner.
First take the differences: 13–7 = 19–13 = 25–19 = 31–25 = 6. So, we know there is a 6n in the expression. Then subtract 6n from each term: 7–6 = 13–12 = 19–18 = 25–24 = 31–30 = 1.
Reduce the size, number, or amount of something else by taking (something) away from it is called subtraction. Subtraction is the activity or procedure of determining the difference between two amounts or numbers. The phrase "taking away one number from another" is also used to describe the act of subtracting one number from another. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process since it is the number from which we subtract another integer in a subtraction phrase.
Learn more about subtraction here brainly.com/question/2346316
#SPJ1
What is the perimeter of the rectangle shown in simplest form in terms of X? Width is 3x-2 and length 5
Answer: 6x+6
Step-by-step explanation: The equation we will be using here is Perimeter of rectangle = 2*(Length+Width) We are given that the width is 3x-2 and the length is 5. We can plug into the perimeter equation to get Perimeter = 2*(3x-2+5).
2*(3x-2+5)
2*(3x+3)
6x+6 Distributive property
Our perimeter is 6x+6 in terms of x.
Hope this helps!
PLEASE HELP ASAP!! TY IN ADVANCE
The questions below can be solved using the radioactive exponential decay formula.For the questions below, provide a complete solution with explanation. Make sure to provide an answer with the correct number of significant digits.
1. Lunar rocks: You are dating Moon rocks based on their proportions of uranium-238 (half-life of about 4.468 billion years) and its ultimate decay product, lead. Find the age for a rock for which you determine that 49.7% of the original uranium-238 remains, while the other 50.3% has decayed into lead.
Answer:
4.4 billion years
Step-by-step explanation:
The decay of Uranium-238 to lead is a first-order radioactive decay process, and the amount of remaining Uranium-238 after time t can be modeled by the exponential decay formula:N(t) = N0 * e^(-λt)where N0 is the initial amount of Uranium-238, N(t) is the remaining amount after time t, and λ is the decay constant.The half-life of Uranium-238 is 4.468 billion years, which means that the decay constant can be calculated as:λ = ln(2) / t1/2 = ln(2) / (4.468 * 10^9 years) ≈ 1.55125 x 10^-10 years^-1We are given that 49.7% of the original Uranium-238 remains, which means that 50.3% has decayed. Therefore, the ratio of remaining Uranium-238 to original Uranium-238 is:N(t) / N0 = 0.497Taking the natural logarithm of both sides of the equation and solving for t, we get:ln(N(t) / N0) = -λtt = -ln(N(t) / N0) / λPlugging in the given values, we get:t = -ln(0.497) / (1.55125 x 10^-10 years^-1) ≈ 4.40 billion yearsTherefore, the age of the Moon rock is approximately 4.40 billion years. Note that we should round the answer to two significant digits because the given data only has two significant digits. So, the final answer is:t ≈ 4.4 billion years.
Two forces of 68 pounds and 64 pounds act simultaneously on an object. The angle
between the two forces is 76°. Find the magnitude of the resultant, to the nearest
pound. Find the measure of the angle between the resultant and the larger force, to
the nearest degree.
The magnitude of resultant of the two forces is 104pounds and angle of resultant is 37°
What is resultant?The resultant is the vector sum of two or more vectors. It is the result of adding two or more vectors together. If displacement vectors A, B, and C are added together, the result will be vector R.
using parallelogram law of vectors
R² = 64² +68²+2(64)(68)cos 76
R² = 8720 + 8704cos 76
R² = 8720+2105.7
R² = 10825.7
R = √ 10825.7
R = 104pounds( nearest pounds)
represent resultant angle by x
using sine rule
64/sinX = 104/sin(180-76)
64/sinX = 104/sin104
104sinX = 64sin 104
104sinX = 62.1
sinX = 62.1/104
sinX = 0.597
X = sin^-1(0.597)
X = 37°( nearest degree)
learn more about resultant from
https://brainly.com/question/110151
#SPJ1
A pack of gray wolves was reintroduced to a forest. The table gives the size
of this population of wolves over time.
If the trend in the table continues, which value is closest to the predicted
population size during year 12?
A. 42
B. 49
C. 46
D. 53
Answer:42
Step-by-step explanation: 42x0=42
In the polygon pictured, what is the measure of angle K?
The answer depends on the value of the individual angles
110
180
We need more information to solve this problem
From the given polygon, The measure of angle K is 115 degrees.
What is Polygon ?
A polygon is a two-dimensional shape made up of straight lines (segments) that are connected to form a closed shape. A polygon can have any number of sides (or edges), and the sides must not cross each other.
We know that the sum of the interior angles of a triangle is 180 degrees. We can use this fact to find the measure of angle J, which is opposite to angle K:
Angle J = 180 - 70 - 25 = 85 degrees
Now, we can use the fact that the sum of the interior angles of a quadrilateral is 360 degrees.
Angle K + 85 + 90 + 70 = 360
Simplifying the equation:
Angle K = 360 - 85 - 90 - 70 = 115 degrees
Therefore, the measure of angle K is 115 degrees.
To learn more about Polygon from given link.
https://brainly.com/question/23846997
#SPJ1
Refer to the parallelogram at the right for Exercises 13 and 14
Justify your answers.
13. Suppose the base and height are each
multiplied by . What effect would this
have on the area? (3pts.)
10 ft
14 ft
12 ft
14. Suppose the side lengths are multiplied by 2. Describe the change in the
perimeter. (3pts.)
The area of the resulting figure is 4 times smaller than the area of the original figure.
And, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. And, Opposite sides of the rectangle are equal and parallel to each other.
We know that;
When two figures are similar, then ratio of its areas is also equal to the scale factor squared.
Hence, We can assume that the figure is a rectangle or a triangle;
Let
z = the scale factor
x = Area of the resulting figure
y = Area of the original figure
So, We get;
z² = x/y
Since, we have;
z = 1/2
Hence, We can substitute;
⇒ (1/2)² = x/y
⇒ x/y = 1/4
⇒ x = y/4
Therefore, The area of the resulting figure is 4 times smaller than the area of the original figure.
And, If the side lengths are multiplied by 2.
We get;
Perimeter = 2 (L + W)
= 2 (2L + 2W)
= 2 (2L + 2W)
Thus, When the side lengths are multiplied by 2, the perimeter is 2 times the original perimeter.
Learn more about the rectangle visit:
https://brainly.com/question/25292087
#SPJ1
3. If triangle ABC was reflected across the y-axis, what would be the coordinates of C'?
(4,1)
(-4,-4)
(1,1)
(-4,-1)
Answer:
(4,1)
Step-by-step explanation:
(4,1) is the answer
The volume of the package is 748 cubic inches the equation 4 x11 x h= 748 can be used to find the height in inches of the package what is the surface area in square inches of neelah’s package?
The surface area of Neelah's package is 214 square inches.
What is surface area, and how is it calculated?
The surface area is the measure of the total area that the surface of an object occupies. It is calculated by adding up the areas of each face or surface of the object.
Calculation of the surface area:
To find the surface area of Neelah's package, we first need to determine the dimensions of the package. We are given that the volume of the package is 748 cubic inches and that the equation 4 x 11 x h = 748 can be used to find the height of the package.
Solving for h, we have:
4 x 11 x h = 748
44h = 748
h = 17
Therefore, the dimensions of the package are 4 inches by 11 inches by 17 inches.
To find the surface area of the package, we need to add up the area of each face of the package. The package has six faces, so we calculate the area of each face as follows:
Front and back faces: 4 inches x 17 inches = 68 square inches each
Top and bottom faces: 11 inches x 17 inches = 187 square inches each
Left and right faces: 4 inches x 11 inches = 44 square inches each
Therefore, the total surface area of the package is:
2(68) + 2(187) + 2(44) = 136 + 374 + 88 = 598 square inches
However, this calculation includes the interior of the package, and we are only interested in the external surface area. The top and bottom faces are not part of the external surface area, so we need to subtract them from the total:
598 - 2(187) = 224 square inches
Therefore, the surface area of Neelah's package is 214 square inches.
To know more about surface area, visit:
brainly.com/question/29298005
#SPJ9
Wich of the statements below is true for the following set of numbers? 42 15 36 51 65 28
The range here is 50 & the midrange is 25.
Tο find the range, we need tο subtract the smaIIest number frοm the Iargest number in the set. The Iargest number in the set is 65 and the smaIIest number is 15,
Finding οut range:
Range = Biggest number - smallest number, which equals 65 - 15 to make 50.
Tο find the midrange, we need tο add the smaIIest number tο the Iargest number and divide by 2. The smaIIest number is 15 and the Iargest number is 65, sο the midrange is:
Midrange = (SmaIIest number + Largest number) / 2 = (15 + 65) / 2 = 40
Therefοre, the cοrrect οptiοn is The range is 50 and the midrange is 25.
To know more about number:
brainly.com/question/17429689
#SPJ1
Complete question:
Which οf the statements beIοw is true fοr the fοIIοwing set οf numbers?
42, 15, 36, 51, 65, 28:
a) The range here is 50 and the midrange is 25.
b) The range here is 50 and the midrange is 40.
c) The range here is 14 and the midrange is 35.
d) The range here is 65 and the midrange is 39.
pleeeeeeeeeeeeeeese helpFind the percent equivalent to 16 over 25.
Answer:
64%
Step-by-step explanation:
Convert a fraction to a decimal and move the decimal point to make a percent
Write the set using the roster method.
Set D is the set of positive two-digit even numbers greater than 74
that do not contain the digit 8
.
Set D ∈ {76, 90, 92, 94, 96}
What is a Set?Sets are groups of clearly defined objects or elements in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
As per the given data:
Set D consists of positive two-digit even numbers greater than 74 without the digit 8 in them.
For writing set D in the roster form:
For greater than 74:
{76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98}
Without the digit 8:
{76, 90, 92, 94, 96}
Hence, Set D ∈ {76, 90, 92, 94, 96}
To learn more about sets, click:
brainly.com/question/8053622
#SPJ1
In the diagram ABC is right angle triangle horizontal ground AD is a vertical tower < BAC = 90 5 82m the length of AC and BD = 100m. Find and correct to I decimal place Find the height Find Length of DC
The measure of the length DC would be 28.9 m.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is that ABC is right angle triangle with horizontal ground AD.
We can write -
DC = 100 - 82 sin (60)
DC = 100 - 82 x √3/2
DC = 100 - 71.1
DC = 28.9 m
Therefore, the measure of the length DC would be 28.9 m.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
#SPJ1
When Birchwood Elementary School opened for the first year, there were 240 students. During each of the following 10 years, the number of students increased exponentially. To determine the number of years (n) that had passed when the number of students reached 365, use the following equation.
240(1.15)n=365
After how many years did the number of students reach 365?
Responses
1 year
2 years
3 years
4 years
It took about 4.04 years for the number of students to reach 365.
The correct option is D.
What is Logarithmic?The logarithm is the opposite of exponentiation. This shows that the logarithm of x to the base of b is the exponent to which b must be raised in order to reach the number x.
Given:
There were 240 students enrolled in Birchwood Elementary School during its first academic year.
The number of students grew significantly throughout the course of each of the ensuing ten years.
We may use logarithms to find n, the number of years.
By multiplying both sides of the equation by their logarithms, we obtain:
log(240(1.15)ⁿ) = log(365)
Using the rule of logarithms that says log(ab) = log(a) + log(b) and the fact that log(1.15) is a constant,
we can simplify the left side of the equation:
log(240) + nlog(1.15) = log(365)
Subtracting log(240) from both sides, we get:
nlog(1.15) = log(365) - log(240)
Using the rule of logarithms that says log(a/b) = log(a) - log(b), we can simplify the right side of the equation:
nlog(1.15) = log(365/240)
nlog(1.15) = log(1.52083)
Dividing both sides by log(1.15), we get:
n = log(1.52083) / log(1.15)
n ≈ 4.04
Therefore, n = 4 years.
To learn more about the logarithms;
brainly.com/question/28346542
#SPJ1