Eight times a number is not less than the sum of the number and fifty
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
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.whats 22 less than a number n
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
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]
YO!! I'm in need of assistance
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
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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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
find the slope of the line that contain the following points A(5,6),B(10,8)
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?
Simplify: (27)^1/3•(27)^2/3
Answer:
3
Step-by-step explanation:
Because i said so
If two variables were completely correlated, their correlation coefficient would be:
What is 3,920,000,000,000 in scientific notation? A. B. C. D.
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).
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
Solve for x. x - 3/8 = - 5/8
x = 1/4
x = - 1/4
x = -1
x = 1
Answer:
-1/4 should be the answer
Step-by-step explanation:
How to write 0.0000000000372 in scientific notation?
Which ordered pair is on the inverse of f(x)?
Find the sum of (x+5) and (2x+3)
Identify the fraction as proper, improper, or mixed . (If the fraction is equivalent to 1, choose "one" in the blank.)
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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How do you find the measures of the angles in a rhombus with the given angle 54 degrees?
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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What is the value of k?
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
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.