The lowest grade he could earn is 120% of the grade at the end of the semester.
The following statement is given:
I have 90% after about 75% of the semester.
We are asked to find the lowest grade by the end of this semester.
What is Percentage?A percentage is a number expressed as a fraction of 100.
- 50% = 50/100 = 1/2
- 25% = 25/100 = 1/4
- 20% = 20/100 = 1/5.
We can write this statement "I have a 90% grade after about 75% of the semester" as:
90% grade = 75% semester.............(1)
By the end of the semester means at 100% semester.
Multiplying equation (1) by 100/ 75 on both sides of the equation.
We get,
(100/75) x 90% grade = (100/75) x 75% semester
(100 x 90)/75 % grade = 100% semester
120% grade = 100%
Thus the lowest grade he could earn is 120% of the grade at the end of the semester.
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(SAT Prep) In the given figure, C is the midpoint of AB and M is the midpoint of AC. Find the length of NB if MC = 4 and AN = 14. (A) 3 (B) 6 (C) 2 (D) 3.5
Answer:
C) 2
Step-by-step explanation:
I don't have an explanation, I just guessed.
Answer:
(C) 2
Step-by-step explanation:
We will need to make a Given, Statement, and Reason table to solve this problem.
Given: Statement: Reason:
AC=CB AC=2MC Part Whole Postulate
AM=CM AC=2x4=8 Substitution and Algebra
CM=4 AB=2AC Part Whole Postulate
AN=14 AB=2x8=16 Substitution and Algebra
Find: AB-AN=NB Part Whole Postulate
NB 16-14=2 Substitution and Algebra
NB=2
Hope this helps! :)
Find the MEAN, VARIANCE, STANDARD DEVIATION, and COEFFICIENT OF VARIATION for the following SAMPLE of the number of severe car accidents in 1-90 from 2015 to 2020. (YOU MUST SHOW YOUR WORK!!!)
256, 189, 172, 220, 320, 192
The Mean, Variance, Standard Deviation, and Coefficient of Variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are:
Mean = 224.833
Variance = 1956.0667
Standard Deviation (SD) = 108.319
Coefficient of Variation (CV) = 48.163%
From the question above, Given data is: 256, 189, 172, 220, 320, 192
Mean, variance, standard deviation and coefficient of variation for the given sample of the number of severe car accidents in 1-90 from 2015 to 2020 are given below:
The mean of data is equal to the sum of all data points divided by the total number of data points.
N = 6
Sum of data = 256 + 189 + 172 + 220 + 320 + 192 = 1349 ∴ Mean = 1349 / 6= 224.833
Calculation of Variance: The variance of data is the average of the squared differences from the mean.
Variance is calculated by dividing the sum of squared deviations by N-1, where N is the number of data points and then find the average.
Calculation of standard deviation: The standard deviation of data is the square root of the variance.SD = √11736.4 = 108.319
Coefficient of variation (CV): The coefficient of variation (CV) is a normalized measure of the dispersion of the data points. It is the ratio of the standard deviation to the mean.
CV is used to analyze and compare data of different sizes.
So, CV = (SD / Mean) × 100%CV = (108.319 / 224.833) × 100%= 48.163%∴
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Could use help !! Please help
Suppose there are n students in a row. We want to compute the number of ways to select 2 non-adjacent students. (Assume that the selected students are interchangeable: i.e., selecting students i and j is the same as selecting students j and i.) For both parts to this problem, you must explain why your answer is correct: it is not sucient to compute a few values directly and look for a pattern.
(a) Write a recurrence relation describing the number of ways to select 2 non-adjacent students.
(b) Repeat part a, but now suppose the students are in a circle (hint: it might help to label the students 1, ... n, even though they are in a circle without a `start' or `end').
To calculate the number of ways to select 2 non-adjacent students, we can use recurrence relations for both linear and circular arrangements. For the linear arrangement, the recurrence relation is determined by considering two cases: selecting the first student and not selecting the first student. For the circular arrangement, we introduce an additional student to simplify the problem and derive a recurrence relation based on whether the additional student is selected or not.
(a) For the linear arrangement, let's consider the number of ways to select 2 non-adjacent students in a row of n students. We can define a recurrence relation as follows:
Let C(n) represent the number of ways to select 2 non-adjacent students in a row of n students.
If the first student is selected, then the second student cannot be selected, so we are left with n-2 remaining students. The number of ways to select 2 non-adjacent students in this case is C(n-2).
If the first student is not selected, then we have n-1 remaining students. The number of ways to select 2 non-adjacent students in this case is C(n-1).
Therefore, the recurrence relation for the linear arrangement is:
C(n) = C(n-1) + C(n-2)
(b) For the circular arrangement, we introduce an additional student to simplify the problem. Let's consider a circle of n+1 students (n original students and 1 additional student). We want to select 2 non-adjacent students in this circle. We can define a recurrence relation as follows:
Let D(n) represent the number of ways to select 2 non-adjacent students in a circle of n+1 students.
If the additional student is selected, then the two non-adjacent students must be selected from the remaining n students. The number of ways to select 2 non-adjacent students in this case is C(n).
If the additional student is not selected, then we are left with n students. The number of ways to select 2 non-adjacent students in this case is D(n-1).
Therefore, the recurrence relation for the circular arrangement is:
D(n) = C(n) + D(n-1)
By applying the recurrence relations, we can calculate the number of ways to select 2 non-adjacent students for both linear and circular arrangements.
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PLEASE HELP!!!! 20 POINTS!!!!
Identify the range of the function shown in the graph.
A. O<=y<= 8
B. y> 0
C. -6 <= x <= 6
D. y is all real numbers.
On a number line, point a is located at 6, point c is located at 9, and point b lies between points a and c. what is the location of b such that the ratio of ab:bc is 3:1? a 6.75 b 7.66 c 8.25 d 10.50
The location of point b on the number line is 8.25.
To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.
Let's assume that the location of point b is represented by the variable x.
Given that the ratio of ab:bc is 3:1, we can set up the following equation:
ab/bc = 3/1
To find the length of ab and bc, we subtract the respective coordinates:
ab = x - 6
bc = 9 - x
Now we can substitute these values into the equation:
(x - 6)/(9 - x) = 3/1
To solve this equation, we can cross-multiply:
1 * (x - 6) = 3 * (9 - x)
Simplifying the equation:
x - 6 = 27 - 3x
Combine like terms:
4x = 33
Divide both sides by 4:
x = 33/4 = 8.25
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When representing a frequency distribution with a bar chart, which of these
bars will be the shortest?
A. A bar representing a frequency of 60
B. A bar representing a frequency of 48
C. A bar representing a frequency of 36
D. A bar representing a frequency of 72
Answer:
the answer is C. :D
The table shows the value in dollars of a motorcycle at
the end of x years.
Answer:
second choice 12,000(0.9)ˣ
Step-by-step explanation:
The equation for the value of the motorcycle can be modeled as follows
V = 12000(1- r)ˣ where r is the rate of decine
1- r must be less than 1 since the value is decreasing
We can eliminate the first and third choices which show the value as increasing.
The value of the motorcycle at x = 0 is 12,000
Therefore the correct choice is the second choice 12,000(0.9)ˣ
The last choice is wrong- it's showing the base price as 10,800
Need help with this ASAP! Thank You
Step-by-step explanation:
Statements
Reasons
1. PQ || MN
1. Given
2. O is the midpoint of NP
2. Given
3. NO = OP
3. Definition of midpoint
4. ∠ZMO = ∠QOP
4. Alternate interior angles are congruent (corresponding angles of parallel lines)
5. ∠LNMO = ∠LPQO
5. Alternate interior angles are congruent (corresponding angles of parallel lines)
6. ΔMNO ≅ ΔPRO
6. Angle-side-angle (ASA) congruence theorem
7. AMNO ≅ AQPO
7. Corresponding parts of congruent triangles are congruent (CPCTC)
Solve:
4(x-8) > 3 - (2x + 7)
A. 4 2/3
B. 6 2/3
C. 6
D. 7
Answer:
A. 4 2/3
Step-by-step explanation:
4(x-8) > 3 - (2x + 7)
4x-32 > 3 -2x -7
4x - 32 > -4 -2x
6x -32 > -4
6x > 28
divide both sides by 6
6 divide by 6 is 1
28 divide by 6 is simplified to 14/3 which can be changed into a mixed number 4 2/3
What percent is 50% of 50% of x? Please help.
25% is 50% of 50.
Explaination is on the picture.
50% of 100 is 50.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Let x be a number such that
50% of x is 50
This forms an equation in one variable which can be solved by transposition.
\(50/100\times x = 50\)
x/2=50
On multiplying 2 both sides,
\(X/2\times 2 =50\times 2\)
X=100
Thus, 50% of 100 is 50.
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Correct question:
50% of what is 50.
Convert 2.41 cm2 into mm2 *the 2 means squared
Answer:
241 mm^2.
Step-by-step explanation:
There are 10 mm in a cm so there are 10*10 = 100 mm^2 in a cm^2.
So the answer is 2.41 * 100 = 241 mm^2.
Answer:
241mm²
Step-by-step explanation:
If 10mm = 1cm,
then 100mm² = 1cm²
2.41 × 100 = 241mm²
Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep, and the angle between the sloping sides is 77°. What is the shortest distance between the tip of the cone and its rim?
177.8 centimeters.
What is the formula for cos θ?The symbol for it is Cosθ, and it has the following form: adjacent/hypotenuse = cosθ. In other words, it divides the length of the hypotenuse by the length of the neighboring side, which is the side next to the angle (the longest side of a right triangle).When working with right-angled triangles, the Cos Theta Formula is particularly helpful. The Cosine of an angle in a right triangle is always equal to the hypotenuse's length divided by the length of the neighboring side. This makes it an excellent tool for resolving Cosine-related issues.The shortest distance between the tip of the cone and its rim:
cos θ= base/Hypotenuse
cos 77°=\(\frac{40}{H}\)
\(0.22495=\frac{40}{H}\)
\(H=177.8\)
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The shortest distance between the tip of the cone and its rim exits 51.11cm.
What is the shortest distance between the tip of the cone and its rim?If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.
Cos 38.5 = 40 / x
Solving the value of x, we get
Multiply both sides by x
\($\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x\)
\($\cos \left(38.5^{\circ}\right) x=40\)
Divide both sides by \($\cos \left(38.5^{\circ}\right)$\)
\($\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}\)
simplifying the above equation, we get
\($x=\frac{40}{\cos \left(38.5^{\circ}\right)}\)
x = 51.11cm
The shortest distance between the tip of the cone and its rim exits 51.11cm.
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Explain how to solve 5^(x-2)= 8 using the change of base formula
Answer:
x = 3.3
Step-by-step explanation:
A equation is given to us and we need to solve out for x. The given equation is ,
\(\sf\longrightarrow 5^{x -2}= 8 \)
Take log on both sides with base as " 10" . We have ,
\(\sf\longrightarrow log_{10} 5^{x-2}= log_{10}\ 8\)
Simplify using the property of log , \(\sf log a^m = m log a \) , we have ,
\(\sf\longrightarrow ( x -2) log_{10} 5 = log_{10} 8 \)
Simplify ,
\(\sf\longrightarrow ( x -2 ) log_{10}5 = log_{10} 2^3\)
Again simplify using the property of log ,
\(\sf\longrightarrow (x-2) log 5 = 3 log 2\)
We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,
\(\sf\longrightarrow ( x - 2 ) = \dfrac{ 3\times 0.301}{0.69}\)
Simplify the RHS ,
\(\sf\longrightarrow x - 2 = 1.30 \)
Add 2 both sides ,
\(\sf\longrightarrow \boxed{\blue{\sf x = 3.30}}\)
Hence the Value of x is 3.30 .
Answer:
its actually 3.292 because we round to the nearest thousandth and thats not even the equation you use above
Step-by-step explanation:
For this equation we use the formula log a^m=m (log a) so the equation will be written as log 5 (5^x-2) = log 5 (8). You use the base, which is 5, and use log to base 5 on both sides of the equation. Then you take the exponent " x-2" and write( x-2) log 5 (5) = log 5(8). Since log a =1, you multiply that 1 by x-2, which keeps it x-2. Making the equation x-2 = log 5 (8). Next, we use the change of the base properties with the formula log b^y= log y/ log b. The equation will be written as x-2 = log 8/ log 5, since 5 is the base it stays in the bottom or basement. We then add +2 to both sides of x-2 and log 8/ log 5. To solve this equation, you can find out what log 8 and log 5 are and divide those and add +2 to solve. So log 8 = 0.903 and log 5 = 0.698970 and divide those to get 1.29190 +2 and you get the answer rounded as 3.292.
NEED HELP ON THIS ASAP!!!!GIVING OUT BRAINLIST TO BEST ANSWERS!!!
Answer:
Only part a; still haven't figured out b
Step-by-step explanation:
For a) the answers would be:
x: -5 0 3
y: -3 2 5
The equation says add y = x+2
Replace x with let's say -5, and we get y = -5+2
-5+2=-3
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werewolves or vampires im a werewolve
Answer:
uhhhhhhhh so vampires
Step-by-step explanation:
werewolf ugly-_-
Answer:
Step-by-step explanation:
Vampires
the question and answer is on the picture
238,900 rounded to the nearest or the ten thousands place:
C. 240,000
Andy goes shopping with his friend Silvio, an exchange student from Brazil. Silvio wants to know what everything costs in
Brazilian reals. He knows 1 American dollar is equivalent to 2 Brazilian reals. Let x represent American dollars and y represent Brazilian reals. This situation is graphed below. Which equation represents this situation?
A) y=-2x
B) y=4x
C) y-2x
D) y=1/2x
Answer:
Step-by-step explanation:
answer is b
Help me with this!!!!!
Answer: GH=16
Step-by-step explanation:
Equal triangles have equal sides
Determine whether the ratios are equivalent.
28 : 32 and 7 : 8
Answer:
They are
Step-by-step explanation:
28:32 is equal to 7/8
The temperature at 2:00 pm is 15 degrees. The temperature changes -3.4 every hour. What will the temperature be at 8:00 pm?
Answer:
-5.4 degrees
Step-by-step explanation:
First get the time passed by subtracting 2:00 pm from 8:00 pm, which will give you 6 hrs, you can then multiuply 6 hrs by -3.4 (temp changed per hr) and you will get -20.4. You then add together -20.4 and 15 to get -5.4 degrees.
can someone plzz help I don't know how to solve this equation
8(3v+3w-2)
8(3v + 3w −2)
Answer:
do u need to isolate the variables?
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME WITH THIS STATISTICS PROBLEM I DONT UNDERSTAND IT AT ALLL!!!! The mean of a normal probability distribution is 390; the standard deviation is 95. a. Μ ± 1σ of the observations lie between what two values? Lower Value Upper Value b. Μ ± 2σ of the observations lie between what two values? Lower Value Upper Value c. Μ ± 3σ of the observations lie between what two values? Lower Value Upper Value
Answer:
A.)
Lower Value = 295
Upper Value = 485
B.)
Lower Value = 200
Upper Value = 580
C.)
Lower Value = 105
Upper Value = 675
Step-by-step explanation:
Given that mean (M) = 390
Standard deviation (σ) = 95
Lower Value = mean value - number of standard deviations specified
Upper Value = mean value + number of standard deviations specified
a. Μ ± 1σ of the observations lie between what two values?
Lower Value = 390 - 1(95) = 295
Upper Value = 390 + 1(95) = 485
b. Μ ± 2σ of the observations lie between what two values?
Lower Value = 390 - 2(95) = 200
Upper Value = 390 + 2(95) = 580
c. Μ ± 3σ of the observations lie between what two values?
Lower Value = 390 - 3(95) = 105
Upper Value = 390 + 3(95) = 675
Question 4 1. Interpret the formula for estimating the bending allowance including how the Kba value of 0.33 and 0.50 is interpreted. (5) [5]
The formula for estimating the bending allowance is represented as follows:
Bending allowance = Kba x T x ((π/180) x R + Kf x T)
Where,Kba is the bending allowance coefficient
T is the sheet thickness
R is the bending radius
Kf is the factor for springback
π is the mathematical constant “pi”.
The Kba value of 0.33 and 0.50 is interpreted as follows:If the bending allowance coefficient (Kba) has a value of 0.33, then it means that the bending angle is less than 90 degrees and the sheet thickness is between 0.8 mm to 3 mm.
If the bending angle is more than 90 degrees, then the value of Kba will change to 0.50.The value of Kba determines the amount by which the sheet metal is stretched while it is bent.
If the sheet metal is stretched too much during bending, it may crack or tear. Hence, Kba is important as it enables the calculation of the required bending allowance, ensuring that the bending process does not cause any damage to the sheet metal.
The factor for springback (Kf) is multiplied by the thickness (T) and the bending radius (R) in the formula, and it indicates the amount of springback that will occur during the bending process.
The value of Kf depends on the material properties and the bending angle.
Therefore, it is necessary to choose the correct value of Kf based on the material properties and the bending angle.
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160°
Find the value of angle marked t in th
diagram.
The value of the angle marked t in the diagram is determined as 80⁰.
What is the value of angle marked t in the diagram?The value of the angle marked t in the diagram is calculated by applying circle theorem as follows;
For this given problem, we will apply the circle theorem that states that the angle subtended at the center of the circle is twice the angle subtended at the circumference of the circle.
The value of the angle marked t in the diagram is calculated as;
2t = 160⁰
divide both sides of the equation by 2;
2t / 2 = 160 / 2
t = 80⁰
Thus, the value of the angle marked t in the diagram is calculated by applying circle theorem.
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can someone with This thank you!!
Answer:
(a)
Coordinate A: (0,-3)
Coordinate B: (1,0)
Coordinate C: (5,2)
(b)
1, 5, 6, 7
The unit rate for $124 for 8 skirts is $
Choose...
per skirt
The unit rate for $76 for 5 skirts is $ Choose...
<
per skirt.
So, $124 for 8 skirts or $76 for 5 skirts,
Choose...
v is the better value.
Answer:
15.20,15.50
Step-by-step explanation:
slope=8, y-intercept=-4
Answer:
Y= 8X + 4
Step-by-step explanation:
PLEASE NEED HELP
(SAT Prep) Find the value of x
The measure of angle x is 70°
Triangle Exterior Angle Theorem:
For a triangle, the exterior angle is the angle formed by extending one of the sides of the triangle
The Triangle Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
Here we have
A triangle where 105° is an exterior angle
And 'x' is an interior angle
Name the given triangle as given below
If we take AC as Transversal which cuts AB and DC
=> ∠A = 35° [ Alternate Interior Angles ]
In a triangle,
The measure of an exterior angle will equal to the sum of measures of opposite interior angles.
=> x° + 35° = 105°
=> x° = 105° - 35°
=> x° = 70°
Therefore,
The measure of angle x is 70°
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What is 26 - 16? Can anyone tell me?
Answer:
10
Step-by-step explanation:
Answer:
26 - 16=10 is your answer