What's the circumference of a circle with a diameter of 30 cm
After entering the test scores from her statistics class of 25 students, the instructor calculated the mean and the median of the scores. upon checking, she discovered that the toptop score entered was 73, but it should have been 83. when she corrects this score, how will the mean and median be affected?
What is the constant of proportionality for the ratios 2 to 3 and 4 to 6?
Answer:2/3
Step-by-step explanation:
Joe completed 28 math problem from his homework. Joe has done 80% of his homework. How many more math problem does Joe have to complete
0% = 0.8
divide 28 by 0.8
28 / 0.8 = 35 total questions
35 -28 = 7 more questions to do
−8x+4y=24
−7x+7y=28
What is the solution?
A construction crew needs to build a road that will be 20 miles long. The crew already completed a stretch that is 6.44 miles long and another that is 8.62 miles long.
How much more road does the construction crew need to build?
(A) 2.18 miles
(B) 4.94 miles
(C)11.38 miles
(D)13.56 miles
write 91.4 million in both standard form and in scientific notation
91.4 million in standard form is 91400,000.
To express 91.4 million in standard form,
We simply write the number as it is: 91,400,000.
In this form, each place value is clearly represented by its corresponding digit.
In scientific notation, we express the number as a product of a decimal number between 1 and 10, multiplied by a power of 10. For 91.4 million,
It can be written as 9.14 x 10⁷.
In this notation, the decimal point is placed after the first digit, and the power of 10 represents the number of places the decimal point should be moved to the right to obtain the original value.
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solve 3x=12? 5,36,4,or 3
The Museum of Science in Boston has an exhibit in which metal balls drop down a chute, bounce around, and wind up in one of 21 bins. After 1000 balls have dropped, the heights within the bins clearly follow a bell-shaped curve. The standard deviation is 3 bins.
About how many balls are in bins 1 through 17?
Using the Empirical Rule, we can estimate that about 95% of the balls (950 balls) will fall within the first 17 bins of the bell-shaped distribution, with a standard deviation of 3 bins.
To determine how many balls are in bins 1 through 17 at the Museum of Science in Boston, we can apply the Empirical Rule to the bell-shaped distribution of balls in bins.
Since we have a standard deviation of 3 bins, and a bell-shaped curve approximates a normal distribution, about 95% of the data (balls) will be within two standard deviations of the mean.
Assuming approximately equal distribution across the bins and a large number of trials, bins 1 through 17 would contain slightly less than 95% of the balls, as they represent less than two standard deviations from the mean.
Here is a rough estimate:
Total balls: 1000
Two standard deviations: 95% of 1000 balls = 950 balls
Bins 1 through 17 contain slightly less than 950 balls.
Without the exact mean, we cannot provide a precise number, but we can conclude that about 950 balls will be distributed in bins 1 through 17, give or take, based on the data provided and properties of the normal distribution.
Jana Has $5. She wants to buy a notebook for $4.50.The sales tax is 7%. Does she have enough money? Explain your reasoning.
Order the fractions from least to greatest 5/8, 3/4, 1/2, 9/16
How would you Evaluate. 5⋅4 ^0
Which of the following represents the vertical asymptotes of the function
If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 36 inches, what diameter pizza will reward you with the largest slice? in
We start by expressing the circumference and the size of the slice in terms of the pizza's radius. By setting the pizza slice to be the largest (having an angle of 2π at the centre), we find the radius and hence the diameter of the pizza.
Explanation:The question falls into the area of Circle Geometry. Let's say the radius of the pizza is r inches, the length of the crust is a, and the length of the two straight edges of the pizza slice (each of which is a radius of the circle) are both r.
According to the problem, the perimeter of the pizza slice is given as 36 inches. This sums up the two radii and the length of the crust (a). Therefore, 2r + a = 36.
We know that the crust's length is a fraction of the total circumference of the circle. The whole circle's perimeter is 2πr.
Assuming the angle at the center of the pizza slice is θ (in radians), we have a = θr. θ will be a fraction of 2π depending on the size of the slice.
Substituting θr for a in the equation 2r + a = 36, we get 2r + θr = 36. To get the largest slice, θ has to be as large as possible, 2π.
Replace θ with 2π, we have 2r + 2πr = 36. Solve for r and we find that r = 36/(2+2π). That gives the radius of the pizza. Multiply r by 2 will give us the diameter of the pizza.
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A doctor's office has a computer file showing the heights of 100 male patients of one of the doctors of the practice. the heights range from 18 inches to 68 inches. by accident, the greatest height has been recorded as 680 inches, instead of 68 inches. (a) does this affect the average? if so, by how much? (b) does this affect the median? if so by how much?
The effect of the mistake is:
The mean value obtained is larger. The median value is not affected.The average value recorded is larger than it actually is. Hence , the average value is affected by the mistake. Given the information supplied, we can only deduce that the mean value will be greater than the actual average.
The mean involves taking the sum of all the values and dividing it by the number of values.
Using a value of 680 instead of 68 will mean that, the sum obtained is greater than the actual sum.
The median on the other hand isn't affected by this error, because, the arrangement of the values isn't changed.
The sorting of values is very crucial to calculating the Median. However, either 68 or 680. The position of the maximum value remains unchanged.
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Two well-known aviation training schools are being compared using random samples of their graduates. it is found that 70 of 140 graduates of fly-more academy passed their faa exams on the first try, compared with 104 of 260 graduates of blue yonder institute. in a two-tailed test, the p-value is .0275, so at = .025 we should:
Final answer:
With a p-value of .0275 being greater than the significance level of .025, the decision in a two-tailed test would be to not reject the null hypothesis, indicating insufficient evidence to show a significant difference between the two schools' FAA exam pass rates.
Explanation:
The student is given information about the performance of the graduates from two aviation training schools regarding FAA exam pass rates on the first try. The pass rates are compared using a statistical hypothesis test, and the p-value from this test is .0275. When the level of significance (α) is set at .025, and we are conducting a two-tailed test, we should make a decision about whether to reject or not reject the null hypothesis.
Since the p-value (.0275) is greater than the level of significance (α = .025), the correct decision would be not to reject the null hypothesis. It means that there's not enough statistical evidence to show a significant difference between the FAA exam pass rates of the two schools at the .025 level of significance. This matches the general hypothesis testing rule: if the p-value is less than α, reject the null hypothesis; otherwise, do not reject it.
the change in the x-coordinates of any two points on a line in the xy-plane is the
Answer
D the run. AP3X
Spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 62.1
Answer:
399.21 newtons or 40.73 kg
Step-by-step explanation:
In order to solve this you first have to do a rule of threes to calculate how much would the fish will weight compared with the stretching of the spring:
[tex]\frac{21}{162} =\frac{62.1}{weight} \\weight=\frac{62.1*162}{21}=399.21 Newtons[/tex]
So the weight would be 399.21 newtons and it would have 40.73 kilograms in mass.
what are partial products of 374 times 510
What is the value of x? Enter your answer in the box
using Pythagorean Theorem
x^2 +b^2 = c^2
x^2 +12^2 = 13^2
x^2 +144 = 169
x^2 = 25
x = sqrt(25) = 5
x = 5
Fred lives in Syler City, where the tax rate is 3.5%. His property is assessed at $93,000. What is his tax?
Find the partial derivatives of the function w=4r2+6s2+
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 210 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden.
The length of the garden is 63 feet and the width is 42 feet.
Explanation:Let's assume that the length of the garden is x feet. According to the problem, the width is two-thirds of the length, so the width is (2/3)x feet.
The perimeter of a rectangle is given by the formula P = 2(l+w), where P is the perimeter, l is the length, and w is the width. In this case, the perimeter is 210 feet, so we have the equation 210 = 2(x + (2/3)x).
Simplifying the equation, we get 210 = 2(5/3)x. By dividing both sides by 2, we find that (5/3)x = 105. Finally, solving for x, we get x = 105 * (3/5) = 63 feet. Therefore, the length of the garden is 63 feet, and the width is (2/3) * 63 = 42 feet.
In the fiscal year of 1991-1992, a total of 109,782 child labor permits were issued, 2/3 of which were males. The monthly average for males is?
Final answer:
The monthly average for males who received child labor permits in the fiscal year of 1991-1992 is approximately 6,099, calculated by multiplying the total permits (109,782) by 2/3 and then dividing by 12 months.
Explanation:
To calculate the monthly average for males who received child labor permits in the fiscal year of 1991-1992, we first determine the total number of permits issued to males. Since 2/3 of the total permits were issued to males, we multiply the total number of permits, 109,782, by 2/3:
Total permits for males = 109,782 * (2/3) = 73,188
There are 12 months in a fiscal year, so to find the monthly average, we divide the total permits for males by 12:
Monthly average for males = 73,188 / 12 ≈ 6,099
Therefore, the monthly average number of child labor permits issued to males was approximately 6,099.
In the marching band at Hometown High, there are 77 woodwinds and 88 brass. If there is an equal number of woodwind and brass musicians in each row, what is the greatest number of rows in a performance? A) 9 rows B) 11 rows C) 13 rows D) 15 rows
the back of a moving truck is 4 feet above the ground. A ramp extending from the back of the truck meets the ground 10 feet from the truck. What is the slope of the ramp?
Answer:
20 feet
Step-by-step explanation:
Write four decimals with the digit four in a different place in each ones, tenths , hundredths, and thousandths .Then write a statement that compares the value of the digit 4 in the different decimals
Jack wants to buy a skateboard that usually sells for $79.40. All merchandise is discounted by 12%. What is the total cost of the skateboard if Jack has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.
what is the volume of a tank that can hold 18 754 Kg of methanol whose density is 0.788g/cm3
The volume of a tank is 23.8m3
that can hold 18 754 Kg of methanol whose density is 0.788g/cm3
Using this formula
Volume=m/p
Let plug in the formula
Volume=18,754 kg/0.788g/cm3
Volume=18,754,000g/0.788g/cm3
Volume=23,799,4924cm2
Volume=23.8m3 (Approximately)
Inconclusion The volume of a tank is 23.8m3.
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choices are (mode, mean, median)
A sample was selected and the eye color of every person in the sample was recorded.
{Brown,Brown,Green,Blue,Brown,Green,Hazel,Brown,Green,Hazel}
The ___________ should be used.
A Girl Scout troop sold cookies. The number of boxes each scout sold is listed below.
{35,45,47,27,50,43,25,52,37,312}
The ___________ should be used.
A pizza parlor sold the follow number of pizzas each day from January 27-28.
{30,28,23,25,35,27,29}
The __________ should be used.