By interpreting the student's grade of 85% and knowing that 3 questions were answered incorrectly, we can infer that the test consisted of 20 questions in total.
To calculate how many questions were on the test, we first need to establish the relationship between the number of questions answered incorrectly and the student's overall percentage score. If the student got an 85% on the test, this means they answered 85% of the questions correctly. With 3 questions answered incorrectly, we can assume that these incorrect answers account for the remaining 15%. To find the total number of questions on the test (let's denote it as x), we set up a simple equation:
0.15x = 3
Solving for x yields:
x = 3 / 0.15
x = 20
Therefore, the test consisted of 20 questions in total.
Identify the fraction as proper, improper, or mixed . (If the fraction is equivalent to 1, choose "one" in the blank.)
What is 0.26 repeating as a fraction
Answer:
0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Given : Expression 0.26 repeating.
To find : What is expression as a fraction?
Solution :
Let [tex]x=0.26666[/tex] ....(1)
Multiply both side by 10,
[tex]10x=2.666...[/tex] .....(2)
Subtract (1) and (2),
[tex]10x-x=(2.666...)-(0.2666...)[/tex]
[tex]9x=2.4[/tex]
[tex]x=\frac{2.4}{9}[/tex]
[tex]x=\frac{24}{90}[/tex]
[tex]x=\frac{4}{15}[/tex]
Therefore, 0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
Find the sum of (x+5) and (2x+3)
find the slope of the line that contain the following points A(5,6),B(10,8)
In this lesson, what kinds of exponents will be discussed?
zero exponents
fractional exponents
negative exponents
decimal exponents
square root exponents
I am 100% positive this is from a certain place called Odyssey-ware, so the answers r both negative exponents and zero exponents XD
Find three consecutive odd integers whose sum is between 27 and 51
Final answer:
To find the three consecutive odd integers whose sum is between 27 and 51, set up an inequality with n representing the smallest integer. Solve the inequality to find the possible values for n, which are then used to derive the consecutive integers.
Explanation:
To find three consecutive odd integers whose sum lies between 27 and 51, we need to establish variables for the integers and then solve for them. Let's call the smallest integer n, the next integer will then be n+2 (since odd numbers are two units apart), and the largest integer will be n+4. The equation will be n + (n+2) + (n+4), which simplifies to 3n + 6.
Since their sum must be between 27 and 51, our inequalities are:
27 < 3n + 6 < 51
Subtract 6 from all parts of the inequality:
21 < 3n < 45
Now, divide everything by 3:
7 < n < 15
Since n must be an odd integer, we have the options 9, 11, or 13 for n. Therefore, our sets of three consecutive odd integers could be:
(9, 11, 13), (11, 13, 15), or (13, 15, 17).
What is the value of k?
Westley is 9 yars old. He is 3 years younger than his brother, Milo. Write and solve a subtraction equstion toshow how old Milo is.
To find Milo's age given Westley's age and the fact that Westley is 3 years younger than Milo, we can set up a subtraction equation and solve for Milo's age.
Explanation:To find out how old Milo is, we can use the given information that Westley is 9 years old and 3 years younger than Milo. We can set up a subtraction equation by subtracting 3 from Westley's age.
Let's represent Milo's age as 'x'. The equation would be:
Westley's age - 3 = Milo's age
Substituting Westley's age of 9 into the equation:
9 - 3 = x
Simplifying the equation:
x = 6
Therefore, Milo is 6 years old.
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12 foot by 15 foot swimming pool has a 3 ft wide no slip surface around it what is the outer perimeter of the no slip surface
the pool is 12 x 15
add 6ft to each dimension ( 3 feet on each side)
12+6 = 18
15+6 = 21
21 *2 = 42
18*2 = 36
42 +36 = 78 feet perimeter
58 people answered a survey saying they like cheese. There was a total of 74 people surveyed. What is the percentage of people who liked cheese? Round to the nearest tenth.
Identify the transformation that maps the figure onto itself.
A) Reflect across the line y = -3
B) Reflect across the line x = 3
C) Rotate 180° about the point (3, -3)
D) Rotate 180° about the point (5, -5)
I believe it's B because transformation is moving it in a straight line, rotating is moving in a circle, therefore, it can't be C or D.
Answer:
The correct option is A.
Step-by-step explanation:
The given is a isosceles trapezium because the length of two non-parallel sides are equal.
An isosceles trapezium has a axis of symmetry which divides the trapezium in two equal and symmetric parts.
The axis of symmetry intersecting the parallel line at their midpoint.
From the below figure we can say that the sides AB and CD are parallel and y=-3 is the axis of symmetry.
So, when we respect the figure across y= -3, then we get the same figure.
Rotation 108 degree across any point will never maps the figure onto itself.
Therefore the reflection across the line y = -3 maps the figure onto itself and option A is correct.
12-5x-4kx=y solve for x
Ball bearings are shipped in boxes. Each bearing has a diameter of 0.96 cm each box can hold 8000 cm of ball bearings. How many ball bearings can one box hold.
By calculating the volume of each ball bearing and considering the box's capacity, we determine that a box can theoretically hold 17,276 ball bearings. However, accounting for random packing efficiency, a box can actually hold approximately 11,059 ball bearings.
To determine how many ball bearings can fit in a box, we need to calculate the volume each ball bearing occupies and then see how many of these volumes can fit into the box's total capacity.
The diameter of each ball bearing is 0.96 cm. The radius (r) is half of the diameter: 0.96 cm / 2 = 0.48 cm.Next, we use the formula for the volume of a sphere, V = (4/3)πr³. Plugging in the radius:Additionally, taking into account the closest random packing efficiency of approximately 0.64 for loose ball bearings:
Effective volume available for ball bearings = 0.64 × 8000 cm³ = 5120 cm³.Therefore, the actual number of ball bearings that one box can hold = 5120 cm³ / 0.463 cm³ ≈ 11059.18, which rounds down to 11,059 ball bearings.Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have practical significance? Why or why not?
Answer and step-by-step explanation:
Yes, it does have practical significance.
If the method was ineffective, the chance of an increase this large was 3/10, or 30%. This means with an ineffective teaching method, there was a 100-30 = 70% chance of not seeing a score increase this large.
Since we did see a result this large, and 30% is not a very large chance, we can say that the method was most likely effective.
The difference in SAT scores is statistically significant because there's only a 3/10 chance of observing such an increase by chance. However, it might lack practical significance because a 6-point increase, although positive, is relatively small and may not have a meaningful impact in real-world terms.
Explanation:The question you're asking relates to the concept of statistical significance and practical significance in Mathematics. Statistical significance means that the difference in results (in this case, the increase in SAT scores from 475 to 481) isn't likely due to chance. You've mentioned that there's a 3 in 10 chance of observing such an increase, so statistically, the new teaching method seems to have a significant effect.
However, practical significance refers to whether the difference is meaningful in real-world terms. This depends on context and judgement. In this case, a 6-point increase in the SAT score is a positive change, but it's relatively small and might not make a substantial difference to university admissions or student's mathematical competence. Therefore, one could argue that while the result is statistically significant, it may lack practical significance.
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In the right triangle ABC, CH (H is plotted on AB) is the altitude to the hypotenuse. Find the ratio of AH:HB, if the measure of BAC=30 degrees
Pls include full proof tysm!! <3
How to write 0.0000000000372 in scientific notation?
What is 3,920,000,000,000 in scientific notation? A. B. C. D.
The cost c in dollars of renting a paddle board for h hours is given by c = 25 + 7h. After how many hours is the cost $81?
Which choice represents the simplified form of the expression below and the values of x for which it is defined?
√3x^3 ÷ √x
A x √3 when x > 1
B x√ 3 when x < 0
C x √2x when x >0
D x√3 when x>0
Which ordered pair is on the inverse of f(x)?
y varies inversely as x, and y = 50 when x = 10. What is the value of y when x = 20? 100
25
10
Answer:
[tex]y=25[/tex]
Step-by-step explanation:
We have been given that y varies inversely as x and [tex]y=50[/tex], when [tex]x=10[/tex].
We know that when y varies inversely with x, then the equation is: [tex]y=\frac{k}{x}[/tex], where, k represents constant of variation.
First of all, we will find constant of variation using point [tex]y=50[/tex], and [tex]x=10[/tex] as shown below:
[tex]50=\frac{k}{10}[/tex]
[tex]50*10=\frac{k}{10}*10[/tex]
[tex]500=k[/tex]
Upon substituting [tex]k=500[/tex] in inversely proportion we will get:
[tex]y=\frac{500}{x}[/tex]
To find the value of y, we will substitute [tex]x=20[/tex] in above equation as:
[tex]y=\frac{500}{20}[/tex]
[tex]y=\frac{50}{2}[/tex]
[tex]y=25[/tex]
Therefore, the value of y is 25.
0.66 repeating as a fraction
YO!! I'm in need of assistance
Simplify: (27)^1/3•(27)^2/3
Answer:
3
Step-by-step explanation:
Because i said so
Subtract 8 1/5-4 2/5. Simplify the answer and write as a mixed number.
Answer: 4 1/5
Step-by-step explanation:
Subtract 8 1/5 - 4 2/5
Simplify answer
Write as mixed number
8-4 = 4
1/5 - 2/5 = 4 1/5
If two variables were completely correlated, their correlation coefficient would be:
How do you find the measures of the angles in a rhombus with the given angle 54 degrees?
whats 22 less than a number n
When using the formula zx = x − μ σ for the z-score for the 11.7 data point:
1. x= 11.7 μ = 7
2. z11.7= 1.3
3. Is 11.7 within a z-score of 3?
a. Yes because z11.7 < 3.
4. Which statement is true of z11.7?
b. z11.7 is between 1 and 2 standard deviations of the mean.
The value of the z-score is 1.33.
What is a z-score?The z-score is defined as the mean (average) values, measured in terms of standard deviations from the mean.
The formula is used to calculate z-score is;
Z-score = X-μ / σ
= 11.7-7 / 3.52
= 4.7/3.52
= 1.33
Hence, the value of the z-score is 1.33.
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The ______________ between any two points on a number line is the absolute value of the difference of the coordinates.
The distance between any two points on a number line is the absolute value of the difference of the coordinates.
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Since,the difference of the coordinates between any two points on a number line is the distance between the coordinates,
Let two points a and b on the number line, we define the distance between these two points as
|a−b|
where |…| is the absolute value function. As we can see, the distance between two points is always non-negative.
So, the absolute value of the difference of the coordinates between any two points on a number line is always positive.
Hence,The distance between any two points on a number line is the absolute value of the difference of the coordinates.
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