Answers
Answer:
3591.3
Step-by-step explanation:
\(r = \frac{19}{2} \\ \\ vol = \frac{4}{3} \pi {r}^{3} = \frac{4}{3} \times 3.14 \times {( \frac{19}{2} )}^{3} \\ \\ \frac{4}{3} \times 3.14 \times 857.37 = 3591.36\)
Volume:-
\(\\ \rm\Rrightarrow \dfrac{4}{3}(pi)(9.5)^3\)
\(\\ \rm\Rrightarrow 4/3(/pi)(857.4)\)
\(\\ \rm\Rrightarrow 1143.2\pi cm ^3\)
Related Questions
The city council voted on a new tax. 38 council members voted in favor of the tax. The council has 76 members. What percentage of the council members voted in favor of the tax
Answers
The percentage of the council members who voted in favor of the tax is 50%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, the council has 76 members out of which 38 members voted in favor of the tax.
The percentage amount of members who favor the tax is:
(38/76) × 100%
= 50%
Hence, the percentage of the council members who voted in favor of the tax is 50%.
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Please help me, I am sorry that I’m so terrible at math
Answers
Answer:
x\(\leq\)3
Step-by-step explanation:
hope this helps
Answer:
-6 <x< 3 or x<3, x<-6
Step-by-step explanation:
-18 < 4x +6 < 18
-18-6 <4x< 18-6
-24 <4x< 12
-24/4 <x< 12/4
-6 <x< 3
hope this help you
components arriving at a distributor are checked for defects by two different inspectors (each component is checked by both inspectors). the first inspector detects 87% of all defectives that are present, and the second inspector does likewise. at least one inspector does not detect a defect on 26% of all defective components. what is the probability that the following occur?
Answers
The probability that a defective component will be detected only by the first inspector is 0.19
The probability that a defective component will be detected by exactly one of the two inspectors is 0.38
The probability that all three defective components in a batch escape detection by both inspectors is 0.
It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.
Therefore P(A)=P(B)=81%=0.81
At least one inspector does not detect a defect on 38% of all defective components.
Therefore, bar P(A∩B)=0.38
As we know:
bar P(A∩B)=1-P(A∩B)=0.38
P(A∩B)=1-0.38=0.62
A defective component will be detected only by the first inspector.
P(A∩barB)=P(A)-P(A∩B)
=0.81-0.62
P(A∩barB)=0.19
The probability that a defective component will be detected only by the first inspector is 0.19
Part (B) A defective component will be detected by exactly one of the two inspectors.
This can be written as: P(A∩barB)+P(barA∩B)
As we know:
P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)
Substitute the respective values we get:
P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)
=0.81+0.81-2(0.62)
=1.62-1.24
P(A∩ barB)+P(bar A∩B)=0.38
The probability that a defective component will be detected by exactly one of the two inspectors is 0.38
Part (C) All three defective components in a batch escape detection by both inspectors
This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)
As we know bar P(A∩B)=P(bar A∪ bar B)=0.38
From part (B): P(bar A∩B)+P(A∩bar B)=0.38
This can be written as:
P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0
The probability that all three defective components in a batch escape detection by both inspectors is 0
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A simple random sample of size has mean and standard deviation.Construct a confidence interval for the population mean.The parameter is the population The correct method to find the confidence interval is the method.
Answers
ANSWER:
EXPLANATION:
A simple random sample of size has mean and standard deviation. Construct a confidence interval for the population mean. The parameter is the population The correct method to find the confidence interval is the method.
The sample size is not given. Mean and Standard Deviation are not given.
To construct a confidence interval for the population mean, first find out the margin of error of the sample mean. This is why you need a confidence interval. If you are 90% confident that the population mean lies somewhere around the sample mean then you construct a 90% confidence interval.
This is equivalent to an alpha level of 0.10
If you are 95% sure that the population mean lies somewhere around the sample mean, your alpha level will be 0.05
In summary, get the values for sample size (n), sample mean, and sample standard deviation.
Make use of a degrees of freedom of (n-1).
Mr Lim invested $839.61 every month at 5% interest compounded monthly. How long will it takes for the investment to grow to $0.5million?
Answers
It will take about 472 months (or approximately 39 years and 4 months) for Mr Lim's investment to grow to $500,000.
How to calculate the future value?To solve this problem, we can use the formula for the future value of an annuity:
\(FV = PMT \times \dfrac{[(1 + r)^n - 1]} { r}\)
where:
FV = future value
PMT = regular payment
r = interest rate per compounding period
n = number of compounding periods
In this case, the regular payment is $839.61, the interest rate is 5% per year compounded monthly, and we want to find out how many compounding periods it will take to reach a future value of $500,000.
First, we need to convert the interest rate to a monthly rate:
\(r = \dfrac{5}{ 12\times 100}\)
r = 0.00416666667
Next, we can plug in the values into the formula and solve for n:
\(500,000 = 839.61 \times [\dfrac{(1 + 0.00416666667)^n - 1]} { 0.00416666667}\)
Simplifying the equation, we get:
\([(1 + 0.00416666667)^n - 1] = \dfrac{500,000 x 0.00416666667 }{ 839.61}\)
Taking the natural logarithm of both sides, we get:
\(n \times ln(1 + 0.00416666667) = \dfrac{ln[500,000 x 0.00416666667} {839.61 + 1]}\)
Solving for n, we get:
\(n = \dfrac{\dfrac{ln(500,000\times 0.00416666667 }{ 839.61 + 1)}} { ln(1 + 0.00416666667)}\)
Using a calculator, we find that:
n ≈ 472.06
Therefore, it will take about 472 months (or approximately 39 years and 4 months) for Mr Lim's investment to grow to $500,000.
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what's is x?
help due tomorrow
Answers
Since the 30 degree angle is across from the angle that is to the right of angle x, and that G is 90 degrees we can solve by:
180-(90+30)=60.
We can also solve by seeing that angle x and the 30 degree angle would equal 90 degrees.
Answer:
60 degrees is the answer
Find the slope of the lined graph
Answers
The slope of the lined graph is 5 / 3
How to determine the slope
The formula for determining the slope of a line is expressed as;
Slope = y2 - y1/ x2 - x1
From the graph shown;
y1 = -1y2 = 4x2 = 3x1 = 0Now, let's substitute the values
Slope, m = 4 - (-1) / 3 - 0
Find the differences
Slope, m = 4 + 1/ 3
Slope, m = 5 / 3
Thus, the slope of the lined graph is 5 / 3
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Find out the area of parallerogram
Answers
Drag a graph to each category based on the slope of the graph.
Answers
Slope is 0 for figure 4; slope is less than 0 for figure 1; Slope is undefined for figure 5; slope is greater than 1 for figure 3.
What is slope of line ?A line's slope is an indicator of the line's steepness. It is also known as the rise over run and is defined as the difference between the change in the y-coordinate and the change in the x-coordinate. It is denoted by the letter m and is found in the formula:
\(m = \frac{y2 - y1}{ x2 - x1}\)
where (x1, y1) and (x2, y2) represent points on the line.
The slope can also be interpreted as the rate of change of y with respect to x, or the ratio of the vertical change to the horizontal change between any two points on the line.
The slope can be positive, negative or zero and undefined.
The slope of a line is positive if it moves upward as we move from left to right, negative if it moves downward as we move from left to right and it is zero if the line is horizontal. The slope of a vertical line is undefined because there is no change in x-coordinate.
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Answer:
Step-by-step explanation:
Consider the graph of the function f. a) Find the domain, range, and zeros of the function. b) write an equation for the function f. (In vertex form, standard form, or intercept form)c) compare the graph of f to the graph of g(x) = x^2.
Answers
Solution:
Given the graph;
(a) The domain of a function is the set of values for which the function is real and defined. Thus, the domain D is;
\(\begin{gathered} (-\infty,\infty) \\ D:All\text{ }real\text{ }numbers \end{gathered}\)The range is;
\(y\leq8\)The zeros of the function are the points y=0;
\(x=1,x=5\)(b) The equation of a parabola in vertex form is;
\(\begin{gathered} y=a(x-h)^2+k \\ Where\text{ }(h,k)\text{ is }the\text{ }vertex; \\ and\text{ }given\text{ }(1,0) \\ \\ 0=a(1-3)^2+8 \\ \\ -8=4a \\ \\ a=-2 \\ \\ \end{gathered}\)Thus, the equation is;
\(y=-2(x-3)^2+8\)(c) Using the graph below;
The graph of g(x) has its intercept at (0,0).
The transformation goes as;
Vertical stretch 2units, reflection over the x-axis, horizontal shift to the the right 3 units, vertical shift up 8 units
Using (5,0);
\(\begin{gathered} y=a(x-h)^2+k \\ \\ 0=a(5-3)^2+8 \\ 4a=-8 \\ \\ a=-2 \end{gathered}\)
First try was incorrect Fill in the blank. Constant: a number that is next to a variable.
Answers
A number that is right next to a variable. For instance,
\(5x+6\)the number 6 is a constant.
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
Answers
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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What is 3t = -8.16
Thank you if anyone helps, I’m really bad with one step equations ;-;
Answers
Answer:
t=−2.72
Step-by-step explanation:
Bazinga charges $16.50 per hour to dogsit. Complete the table and answer the questions below.
number of hours
charge in dollars
1
16.50
49.50
6
199.00
132.00
8
A Write an expression describing Bazinga's earnings for working h hours.
Answers
#A
No preliminary values so no y intercept
rate of change =16.5
Equation
y=mxy=16.5x#2
4-1/2=4.5hours
Put 4.5 in equation
y=16.5(4.5)y=74.25$#3
Let y be 115.5
Now
16.5x=115.5x=115.5/16.5x=7hoursAnswer:
A) c = 16.5h
B) $74.25
C) 7 hours
Step-by-step explanation:
Bazinga charges $16.50 per hour to dog sit.
Therefore, to calculate the total charge, multiply the number of hours by the charge per hour:
\(\large \begin{array}{| c | c |}\cline{1-2} \sf number\:of\:hours & \sf charge\:in\:dollars\\\cline{1-2} 1 & 16.50 \\\cline{1-2} 3 & 49.50 \\\cline{1-2} 6 & 99.00 \\\cline{1-2} 8 & 132.00 \\\cline{1-2}\end{array}\)
Part AAs explained above, to calculate the total charge, multiply the number of hours worked by the charge per hour of $16.50
⇒ c = 16.5h
where:
h = number of hours workedc = total charge (in dollars)Part BTo calculate how much Bazinga will earn if they dog sit for 4.5 hours, substitute h = 4.5 into the equation and solve for c:
⇒ c = 16.5h
⇒ c = 16.5(4.5)
⇒ c = $74.25
Part CTo calculate how long it will take Bazinga to earn $115.50, substitute c = 115.5 into the equation and solve for h:
⇒ c = 16.5h
⇒ 115.5 = 16.5h
⇒ h = 115.5 ÷ 16.5
⇒ h = 7 hours
The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answers
Answer:
The diameter that separates the bottom 9% is 5.02 millimeters.
The diameter that separates the top 9% is 5.2 millimeters.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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 p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.
This means that \(\mu = 5.11, \sigma = 0.07\)
Bottom 9%:
The 9th percentile, which is X when Z has a pvalue of 0.09. So X when Z = -1.34.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.34 = \frac{X - 5.11}{0.07}\)
\(X - 5.11 = -1.34*0.07\)
\(X = 5.02\)
The diameter that separates the bottom 9% is 5.02 millimeters.
Top 9%:
The 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91. So X when Z = 1.34.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.34 = \frac{X - 5.11}{0.07}\)
\(X - 5.11 = 1.34*0.07\)
\(X = 5.2\)
The diameter that separates the top 9% is 5.2 millimeters.
Factor 24x – 18 using the GCF
Answers
Answer:
24x – 18
6(4x-3)is required factor.
estimating the products of decimal numbers 46.6 × 37. 2 =
Answers
37.2≈ 37
47 * 37 = 1739
1.25 = (d/32) + (d/48)
Answers
Answer:
d = 24
Step-by-step explanation:
1.25 = 3d/96 + 2d/96
1.25 = 3d + 2d / 96
1.25 = 5d/96
96 • 1.25 = 96 • 5d/96
96 • 1.25 = 5d
120 = 5d
120/5 = 5d/5
d = 24
The surface area of the pyramid is 207 square inches.
What is the value of x ?
Answers
Answer:
1
Step-by-step explanation:
bacause value of 1 is one
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answers
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Compute the discriminant.
5x^2 - 5x -1 = 0
Then determine the number and type of solutions of the given equation. What is the discriminant?
Answers
The discriminant of a quadratic equation is a value derived from the coefficients of the quadratic equation that can be used to determine the nature of the roots of the equation. The discriminant of the equation\(5x^2 - 5x -1 = 0\) is 45. The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\) and \(x = (1 - \sqrt{5} )/2.\)
The discriminant of a quadratic equation of the form\(ax^2 + bx + c = 0\) is given by the expression \(b^2 - 4ac\).
To compute the discriminant of the equation\(5x^2 - 5x -1 = 0\), we can use the formula,\(b^2 - 4ac = (-5)^2 - 4(5)(-1) = 25 + 20 = 45.\)
Since the discriminant is positive and greater than zero, the equation has two real and distinct roots.
We can use the quadratic formula to find the solutions of the equation.
The quadratic formula is given by \(x = (-b \pm\sqrt{(b^2 - 4ac)} )/2a.\)
Substituting the values of a, b, and c into the formula, we have:
\(x = (-(-5) \pm \sqrt{( (-5)^2 - 4(5)(-1) ))} /2(5) x = (5 \pm\sqrt{45} )/10\)
Therefore, the solutions of the equation are \(x = (5 + \sqrt{45} )/10 and x = (5 - \sqrt{45} )/10.\)
These solutions can be simplified to \(x = (1 + \sqrt{5} )/2\) and\(x = (1 - \sqrt{5} )/2,\)respectively.
In summary, the discriminant of the equation \(5x^2 - 5x -1 = 0 is 45.\)
The equation has two real and distinct roots, which are \(x = (1 + \sqrt{5} )/2\)and \(x = (1 - \sqrt{5} )/2.\)
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What is the volume of the triangular prism? *
Pleaseeeee answer
Answers
Answer:
360 ft³Step-by-step explanation:
The formula for calculating the volume of a right triangular prism is:
(1/2 x b x h) x lLet's use the formula to calculate the volume of the right triangular prism.
(1/2 x 15 x 6) x 8⇒ (15 x 3) x 8⇒ 45 x 8⇒ 360 ft³Use long division to divide.
(x5 + 2x12x² - 5x - 12) = (x² - 3)
Answers
The reminder of the equation using the long division method is 70X - 12.
long division method :
Four main steps to solving this problem:
Divide.Multiply.Subtract.Drop down the last digit.\(x^2 - 3$\overline{)x^5 + 24x^3- 5x - 12}$( x^3 + 25x\\\\\)
x₅ + 3 x³
(-) (-)
25x³ - 5x - 12
25x³ - 75x
(-) (+)
70x - 12
here
divisor - (x² - 3)
dividend - (x⁵ + 2x12x² - 5x - 12)
quotient - (x³ +25x)
the given question is incomplete the correct question is
Use long division to divide.
(x⁵ + 2x12x² - 5x - 12) / (x² - 3)
The reminder of the equation using the long division method is 70X - 12.
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Is 2/3 and 6/10 equivalent or non-equivalent
Answers
Answer:
not
Step-by-step explanation:
Answer:
non-equivalent
Step-by-step explanation:
the equivalend fraction of \(\frac{2}{3}\) is \(\frac{6}{9}\) not \(\frac{6}{10}\)
Sarah answers 19 questions correctly on a test. There are 24 questions on the test. What was Sarah's score on the test
Answers
Answer:
19 of 24
Step-by-step explanation:
in this case each question is 1 point, or a substitute variable, a.
derrick is preparing to submit his taxes. over the year, he kept track of certain deductions he is able to claim (all rounded to the nearest dollar). these values are given below. 65,144,97,144,103,98,101,127,58,151 derrick figures that he will receive the following amounts: $25 for each deduction that is under $130 and $45 for each deduction that is $130 or more. use the ti-83 or 84 to draw a histogram for these values using 4 classes. using that histogram, determine how much total derick will receive from all of his deductions.
Answers
Derrick will receive total of $340 from all of his deductions
To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.
Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:
Class 1: 58
Class 2: 82
Class 3: 106
Class 4: 130
We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:
Class 1: 81
Class 2: 105
Class 3: 129
Class 4: 153
Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:
Class 1: 1 (58)
Class 2: 3 (97, 98, 101)
Class 3: 3 (103, 127, 144)
Class 4: 3 (144, 151, 65)
We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.
Derrick will receive the following total from all of his deductions:
$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answers
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
The graph of f(x)=cos(x) is transformed to a new function, g(x), by stretching it horizontally by a factor of 4 and shifting it 1 unit up.
What is the equation of the new function g(x)?
Answers
how do I find the distance between (3,4) and (5,4)
Answers
Answer:
2
Step-by-step explanation:
the y values are the same so you just have to subtract the biggest x value from the smallest x value
5-3=2
the opposite sides of a parallelogram are ? congruent
A: always
b: sometimes
c: never
Answers
A: always