yes it is the same as that of all students at Faber GPAs as 2.32 and lower will mean that a track team athlete will be recommended for extra tutoring and population is 2.3* student number
What is the definition of a population?
In ordinary usage, a population is a distinct group of individuals with shared citizenship, identity, or characteristics. In statistics, a population is a representative sample of a larger group of people (or even things) with one or more characteristics in common.
When the distribution is normal, we use the z-score formula.
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
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Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10
Answer:
12
5
Step-by-step explanation:
if 8 chests = 4hrs
then X chests= 6hrs
cross multiply
48=4x
divide by 4
X= 12
repeat the same for the second using any and you'd get 5
3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N
Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.
Here,
tan x tan 4x=1
cos 4X cos X - sin 4x sin x=0
cos 5x=0
5x=(n+1/2)π,n ∈ Z
x=(2n+1)/10 π,0 <x <π
π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)
Thus, there are only four solutions.
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Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps
Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$
Supposing the value of x to be an integer, the values of k that donot
satisfy the given equation 3x = k mod 6 are 1,2,4,5.
What is an integer?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
What is the difference between integers and whole numbers?Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.
If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.
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passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
Ok last one! I tried everything im completely lost! Need help one more time.
Answer:
33 degrees
Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90
90-57=33
Therefore 33 degrees is the answer
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WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT
The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³
The surface area of the cube is 24 cm ²
The total length of the edges of the cube is 24 cm
How to find the volume of a cube ?The volume of a cube can be found by the formula :
= Side x Side x Side
This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.
The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :
= 2 x 1
= 2 cm
The volume is therefore :
= 2 x 2 x 2
= 8 cm ³
How to find the area of a cube ?The surface area of a cube is:
= 6 x side ²
= 6 x 2 ²
= 24 cm ²
How to find the length of a cube ?The total length of the edges would be:
= 12 edges on a cube x length of each edge
= 12 x 2
= 24 cm
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A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.
The size of the large tank is 6 liters and the size of the small tank is 3 liters.
What is the size of each type of tank?The first step is to form a system of equations using the information provided in the question:
3l + 2s = 24 equation 1
2l + 3s = 21 equation 2
Where:
l = volume of the large tank s = volume of the small tankThe elimination method would be used to solve the equations:
Multiply equation 1 by 2 and equation 2 by 3:
6l + 4s = 48 equation 3
6l + 9s = 63 equation 4
Subtract equation 3 from equation 4:
5s = 15
Divide both sides of the equation by 5
s = 15 / 5
s = 3 liters
Substitute for s in equation 1 :
3l + 2(3) = 24
3l + 6 = 24
3l = 24 - 6
3l = 18
l = 18 / 3
l = 6
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A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
11. One side of a kite is 2 cm less than 2 times the length of another. If the perimeter is 38 cm, find the length of each side of the kite. (show work)
Answer:
Step-by-step explanation:
good
Given that,
Perimeter of kite - 38 cm
Let "x" be the one side of kite
Both of the top sides are equal
Therefore, other side = x
One side of a kite is 2 cm less than 2 times the length of another
Therefore,
One of bottom side = 2x - 2
Bottom sides are also equal
Thus, other bottom side = 2x - 5
We know that,
Perimeter = sum of all sides
38 = x + x + 2x - 2 + 2x - 2
38 = 6x - 4
6x = 38 + 4
6x = 42
x = [tex]\frac{42}{6}[/tex]
x = 7
Thus length of each side of kite is:
x = 7
2x - 2 = 2(7) - 2 = 14 - 2 = 12
Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm
Please Brainliest
Help please, I need to check my answer
[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]
To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
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a) 3.2÷0.8 explain pls b) 7.5÷0.5 also explain pls
HELP ME PLEASE . THESE ARE RATIONAL NUMBERS BTW.
Answer:
15. -3 1/4
16. -4 1/2 OR -4 2/4
17. 1 1/4
18. -5 3/4
19. 1/2 OR 2/4
20. -2 1/2 OR -2 2/4
Step-by-step explanation:
Answer:
15) -3.25
16) -4.5
17)1.25
18)-5.75
19).5
20)-2.5
A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
Is 8 15 and 16 is a Pythagorean triplet?
No, 8,15 and 16 is not a Pythagorean triplet.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
One of the simplest Pythagorean triples is the set “3,4,5.”
Now, substitute the values in the above equation:
16²=8²+15²
256=64+225
256[tex]\neq[/tex]289
Therefore, (8,15,16) is not a Pythagorean triplet.
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Write the equation of the perpendicular bisector’s of the line AB given: A(1,3) & B(-3,5)
Answer:
y = 2x + 1
Step-by-step explanation:
[tex]\frac{5-3}{-3-1}[/tex] = [tex]\frac{2}{-4}[/tex] = [tex]\frac{1}{-2}[/tex]
Perpendicular slopes are the opposite reciprocals . So the slope of the line will be 2
slope (m) = 2
y = 3 You could use either point given. I chose (1,3)
x = 1 From the point given (1,3)
y = mx + b substitute in what you know and solve for b
3 = (2)(1) + b
3 = 2 + b Subtract 2 from both sides
1 = b
The y-intercept is 1.
y = mx + b
y = 2x + 1
9. A triangle with a height of 12 inches has an area of 36 square inches. How long is the base of the triangle?
If anyone knows this please tell me this is due tommorow!
Answer:
Step-by-step explanation
The triangle base would be 6
betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
The pairs of polygons below are similar. Give the scale factor of figure A to figure B.
1/8
2
1/4
8
1/2
4
From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.
what is polygon ?A polygon is a closed object in a two-dimensional plane comprised of line segments rather than curves. The word "polygon" is a combination of the words "poly" (which meaning many) and "gon" (means sides). A closed figure must include a minimum of three line segments that connect end to end. A polygon is any three or more-sided closed two-dimensional shape. In addition to more complex designs like a dodecagon with twelve sides, polygons include triangles and squares. Polygons include shapes like quadrilaterals, triangles, hexagons, and pentagons. The number of sides the form has is indicated by the name.
given
the scale factor of figure A to figure B
= smaller dimension / larger dimension
= 2/16
= 1/8
and 4/8
= 1/2
From figure A to figure B, the scale factors are 1/8 and 1/2. To scale shapes in various dimensions, utilize the scale factor.
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Augustus has made a pile of 2,000 candies, and he is giving away 25 candies a day from this pile. When will he have 350 candies left in this pile
Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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20 h(x)=−x 2 8x20, determine the average rate of change of the function over the interval 0 ≤ x ≤ 5
The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
What is the average rate of change?
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.
In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.
So, we can use the following formula:
Average rate of change = (h(5) - h(0)) / (5 - 0)
Now we have to substitute the values into the equation:
h(5) = -5^2 + 85 = -25 + 40 = 15
h(0) = -0^2 + 80 = 0
Average rate of change = (15 - 0) / 5 = 3
Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
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Indicated angles :
6. Find the measures of the indicated angles. Give reasons for your answers
Answer:
k\
Step-by-step explanation:
j
What's the longest UK number 1?
The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.
The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it was created in 1969. The records and statistics listed here, however, date back to 1952 .
The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.
Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.
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Find the distance between point k and point L.
The distance between points L and K is 4 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points L and K.
The coordinate points of L(- 2, 6) and K(- 2, 2).
Therefore, The distance between points L and K is,
[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].
[tex]|LK| = \sqrt{16}[/tex].
[tex]|LK| = 4[/tex].
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-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
You found that the area of the quarter circle is 78.50 cm squared. You are right. How was this answer found?
Please help me! It's basically asking how to find the area of this quarter circle. I also have to show how I know that the answer is correct by using these steps to get the area of 78.50 cm squared.
The area of the quarter of the circle is 78.50 squared centimeters.
How to find the area of quarter of a circle.A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;
area of a circle = [tex]\pi r^{2}[/tex]
where r is the value of the radius of the circle.
The radius of a circle is given as the half of its diameter.
Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.
So that;
area of quarter of a circle = area of a circle/ 4
= [tex]\pi r^{2}[/tex]/ 4
The area of quarter of then given circle = ((22/7)*(10)^2)/ 4
= 78.50 squared centimeters
Therefore, the answer to the area of the quarter circle was found as explained above.
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sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13
The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
There are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have the fractions;
0, 1, 1/2, 8/9, 49/100, 11/10, 1/13
To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;
1/2 = 0.5
8/9 = 0.89
49/100 = 0.49
11/10 = 1.1
1/13 = 0. 08
However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
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