Answer: 10,663 ft
Step-by-step explanation:
Volume of a cylinder = π * r^2 * h
3.14 * 72.25 * 47
Using 3.14 as pie you get
⇒ 10,663 ft
A newspaper wants to take a poll about which candidate voters prefer for President. Identify any bias in each sampling method.At a high school, 30% of the students buy class rings. You select five students at random. Find P (exactly two buy rings) and P (at least two buy rings).
The probability of exactly two students buying rings is 0.3087, and the probability of at least two students buying rings is 0.8369.
The bias in this sampling method is that it only involves students from one specific high school. This may not accurately represent the preferences of voters in the entire population.
Out of the five students selected at random, the probability of exactly two buying rings can be calculated using the binomial probability formula.
The formula is P(X = k) = (nCk) * \(p^k*(1-p)^(n-k)\), where n is the number of trials, k is the number of successes, p is the probability of success, and (nCk) is the binomial coefficient.
In this case, n = 5 (as five students are selected), k = 2 (as we want exactly two students to buy rings), and p = 0.3 (as 30% of the students buy rings).
Plugging these values into the formula,
we get P(X = 2) = (5C2) * \(0.3^2*(1-0.3)^(5-2).\)
Simplifying this equation, we find P(X = 2) = 0.3087.
To calculate the probability of at least two students buying rings, we need to find the sum of probabilities for two, three, four, and five students buying rings.
Using the same formula, but with k ranging from 2 to 5, we can calculate these probabilities and add them together.
The total probability comes out to be P(X ≥ 2) = 0.8369.
Thus, the probability of exactly two students buying rings is 0.3087, and the probability of at least two students buying rings is 0.8369.
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solve (x+21)+(2x+9)=90
Answer:
The answer is x=20
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
(x+21)+(2x+9)=90
x + 21 + 2x + 9 = 90
combine numbers on left side:
x + 30 + 2x = 90
combine x terms on left side:
3x + 30 = 90
subtract 30 from both sides:
3x + 30 -30 = 90 - 30
3x = 60
divide both sides by 3:
3x/3 = 60/3
x = 20
suppose a research report states that the result of a between subjects one-way anova is f (3, 32) = 3.47 should the researcher reject the null hypothesis if using alpha = .05
Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.
In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.
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question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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Sets V and W are defined below.
V = {all positive odd numbers}
W {factors of 40}
=
Write down all of the numbers that are in
VOW.
The numbers that are in the intersection of V and W (VOW) are 1 and 5.
How to determine all the numbers that are in VOW.To find the numbers that are in the intersection of sets V and W (V ∩ W), we need to identify the elements that are common to both sets.
Set V consists of all positive odd numbers, while set W consists of the factors of 40.
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
The positive odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, and so on.
To find the numbers that are in the intersection of V and W, we look for the elements that are present in both sets:
V ∩ W = {1, 5}
Therefore, the numbers that are in the intersection of V and W (VOW) are 1 and 5.
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Factor out the Greatest Common Factor (GCF): 64d5- 32d²
What is the equation of the line that passes through the point (-5, 6) and has
a
slope of o?
Answer:
y = 6
Step-by-step explanation:
A line with a slope of zero is a horizontal line parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (- 5, 6 ) with y- coordinate 6 , then
y = 6 ← equation of line
Compare the two expressions using >,<, or =.
62 x (70 + 8)
(70 + 8) x 26
Answer:
62 × (70 + 8) > (70 + 8) × 26
Step-by-step explanation:
62 ×(70 + 8)
62 × 78
4,836
(70 + 8) × 26
78 × 26
2,028
Therefore 4,836 is greater than 2,028
Answer:
\(62\cdot(70+8)>(70+8)\cdot26\)
Step-by-step explanation:
\(62\cdot(70+8)\\62\cdot78\\4836\\\\(70+8)\cdot26\\78\cdot26\\2028\)
NEED HELP ASAP
WILL MARK BRAINLIEST
Answer:
3840
Step-by-step explanation:
if 120 divided by 750 is 16% then 16% of 24000 is 3840
Number of students out of surveyed students who live within 500 miles
= Total number of students surveyed - Number of students who live 500 miles away or more
= 750 - 120
= 630
Ratio of number of students surveyed to the number of students out of them living within 500 miles
= 750:630
= 25:21
Let the actual number of students living within 500 miles be x.
If the students are surveyed randomly then,
Ratio of number of students surveyed to the number of students out of them living within 500 miles = Ratio of actual number of students to the number of actual students living within 500 miles
=> 25:21 = 24000:x
=> 25/21 = 24000/x
=> x = (24000×21)/25
=> x = 504000/25
=> x = 20160
So, the number of actual students who live within 500 miles is 20160.
Work out the size of angle A.
A
11 cm
9 cm
38°
B
С
Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages of $345 for 44 hours worked. What is her regular hourly rate?
Answer:
$7.5/hour
Step-by-step explanation:
Sonya is paid time and half for hours worked in excess of 40 hours
She has a gross weekly wages of $345 for 44 hours
Let y represent sonya's hourly rate
Since she is paid one and half then it can be represented as 1.5y
Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours
Therefore Sonya regular hourly rate can be calculated as follows
40y + 4(1.5y) = 345
40y + 6y = 345
46y= 345
y = 345/46
y= 7.5
Hence Sonya's regular hourly rate is $7.5/hour
Which sets of shapes can be used as the net of a three-dimensional figure? Select two options.
m 1 hexagon and 6 rectangles
2 pentagons and 5 triangles
6 rectangles, none of which are squares
4 squares and two rectangles that are not squares
4 triangles, only 3 of which are congruent triangles
Answer:
Step-by-step explanation:
6 rectangles.
2 act as the top and bottom
The other 4 are all the same height The length of 2 of the other 4 are the same as the length of the top and bottom.The width of 2 of the other 4 are the same as the width of the top and bottom.The height must be the same for all 4 of the rectangles.Answer:
C and D
..............................
Step-by-step explanation:
correct
Determine which statistical technique you will employ to measure the quality characteristics of your organization. provide examples to support the rationale.
To measure the quality characteristics of an organization, one statistical technique that can be employed is Statistical Process Control (SPC).
SPC is a method used to monitor and control processes to ensure they are operating within predetermined limits. It involves the use of control charts to analyze process data and identify any variations that may occur.
SPC provides a visual representation of process performance over time, allowing organizations to identify and address any issues that may affect quality. Control charts, such as the X-bar and R charts or the X-bar and S charts, are commonly used in SPC to monitor the mean and variability of a process.
For example, let's say a manufacturing company wants to measure the quality characteristics of its production line. The company can collect data on key quality indicators, such as product dimensions or defects, at regular intervals. Using SPC, the company can create control charts to track these measurements over time. If the data points fall within the control limits, it indicates that the process is stable and in control. However, if there are any data points outside the control limits or any patterns or trends observed, it may indicate a problem that requires investigation and corrective action.
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For each transformation in the table below, indicate which properties are true and false by selecting true or false from the drop down menus in each box
Translation, rotation, and reflection are three of the fundamental transformations.
What properties do transformations have?Translation, rotation, and reflection are three of the fundamental transformations.The four main categories of transformations are as follows :Rotation.Translation.Dilation.ReflectionA metamorphosis is a significant alteration in appearance or form. The only change that might provide similarity is dilation.Non-rigid transformations are those that dilate when length and angle measurements are not preserved.Since they maintain length, translation, reflection, and rotation are isometries. Congruency transformations are hence translation, reflection, and rotation.An image that is congruent to the preimage is produced through stiff or isometric transformation.To learn more about transformation refer to:
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Solve for x. Round to the nearest tenth, if necessary.
The value of x is 3.67 in the given right angled triangle.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
In the given triangle ,
Triangle STU ,
T = 90
S = 69
So, U = 180 - 90-69
U = 180 - 159
U = 21
And US = 10
sin69 = TU/US
sin69 = TU / 10
0.93 = TU/ 10
93 / 100 = TU / 10
93/10 = TU
TU = 9.3
So, in the triangle
as per pythagores theorem ,
SU^2 = ST^2 + TU^2
10*10 = x*x + 9.3*9.3
x*x = 100-86.49
x*x = 13.51
x = 3.67 (Approx)
Hence, The value of x is 3.67 in the given right angles triangle.
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An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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pleaseeee?? i need the answer
Answer:
look at the photo............
Answer:
x = -3
Step-by-step explanation:
\(\frac{7 - 3x}{2} = 8\)
Multiply both sides by 2, to eliminate the denominator on the left-hand side:
\((2) [\frac{7 - 3x}{2}] = 8 (2)\)
7 - 3x = 16
Next, subtract both sides by 7:
7 - 7 - 3x = 16 - 7
-3x = 9
Divide both sides by -3 to solve for x:
\(\frac{-3x}{-3} = \frac{9}{-3}\)
x = -3
Suppoe your parent agree to pay you
one cent today, two cent tomorrow (the firt day after today), four cent the next day (econd day after today), and o forth. Each time they double the amount they pay you. Write an equation expreing amount paid in term of number of day after today. What kind of function i thi? How much will they pay you the 30th day? Surpriing?! Show that the amount paid today (0 day after today) agree with the definition of zero exponent
They will pay me $5368709.12 on the 30th day
What is Compound Interest ?Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
In simple terms, compound interest is interest you earn on interest.
We start with a one cent.
We have $0.01 x 2 the following day.
We have $0.01 x 2 x 2 the following day.
and so forth
We will have $0.01 x 2^n-1 on day n.
That is compound interest at work. It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment.
Thus, on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.
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which expressions show the total area of the tiny house in square feet? Choose ALL that apply.
Answer:
i think its b and c
Step-by-step explanation:
Solve for the values of x and y.
Answer:
We can’t solve for x and y
Step-by-step explanation:
Answer:
Uhmm We can't do that
Step-by-step explanation:
Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month his sales were $35,000. What were his total earnings?
a
$500.00
b
$4,650.00
c
$650.00
d
$50.00
Answer:$4,650.00
Step-by-step explanation:35,000x10%=3,500
3,500+1,150=4,650
|-10| divided by 2 x |5|
Answer:
1
Step-by-step explanation:
|-10| divided by 2 x |5| would equal 1.
Answer:
1
Step-by-step explanation:
The absolute value of -10 is 10. Divide that by what I'm assuming is 2 times the absolute value of 5 (5) is 10. 10 divided by 10 is 0.
Please answer this math question please and thanks
Answer:
i can
Step-by-step explanation:
A 7-digit telephone number has the form abc - xxxx, where x, b, and c can be any digit 1 - 9 and a is restricted to 3 - 9. how many numbers are possible?
The number of possible numbers in the given format is 7 × 9 × 9 × 9 × 10⁴, there are 567,000,000 possible telephone numbers in the given format.
In the given telephone number format, there are 7 digits, denoted by abc - xxxx.
The digit a is restricted to the range 3 - 9, so there are 7 possible choices for a.
The digits b and c can be any digit from 1 - 9, so there are 9 possible choices for each of them.
For the remaining digits x, they can be any digit from 0 - 9, resulting in 10 choices for each x. Since there are 4 x's in the format, we have 10⁴ choices for these digits.
To calculate the total number of possible telephone numbers, we multiply the number of choices for each digit: 7 × 9 × 9 × 9 × 10⁴ = 7 × 9³ × 10⁴ = 7 × 9⁴ × 10⁴ = 7 × 9⁴ × (10²)² = 7 × (9²)² × (10²)² = 7 × 81 × 10⁴ × 10⁴ = 7 × 81 × (10⁴)² = 7 × 81 × 10⁸ = 567 × 10⁸ = 567,000,000.
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If the total length of all the meteors were distributed equally between each meteor, how long would each one be?
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has no data points. The second tick mark is three eighths and has one data point. The third tick mark is four eighths and has no data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has one data point. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighth and has one data point. The tenth tick mark is one and three eighths and has one data point. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has one data point. The fourteenth tick mark is one and seven eighths and has no data points.
Question 2 options:
one and one thirty sixth inches
one and one thirty eighth inches
one and one fortieth inches
one and one forty second inches
Answer:
your answer is d i do beleive i hope i helped:) and also please mark me brainlest
Step-by-step explanation:
Answer:
D is wrong And so is A i just did the test
Step-by-step explanation:
I'm sure its either B or C
Solve the system of equations.
2x + 2y = -16
y = -x -8
HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
25.6 MB
Step-by-step explanation:
Question: 256 MB file tha'ts been downloaded 16.4%
256 × 16.4% = 256 × 0.164 = 25.584 (using a calculator)25.584 MB is our accurate answerWe need to round to the nearest 10th.5 is where our 10th isto the right is .08.58 rounds UP to .6We go from 25.584 to 25.625.6 MBAnswer:
42.5 MB.
Step-by-step explanation:
Why?
16.4% of 259 = 42.476
(using a calculator)
Therefore, rounding to the nearest tenth, 42.476 (where the second 4 is) making it 42.5 MB. The 7 (in the hundredths place) is greater than 5 or equal to ( \(x\geq 5\) ). This causes the tenths place to round up one number. If the number was less than 5, the tenths place would stay at 4.
Making the answer: 42.5 MB
Hope this helps!
11(7+9) using distributive property
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
A circle has a radius of 8 cm. A good estimate for the circumference of the circle is 24 cm. TrueFalse
False. The circumference of a circle is given by using the system 2πr, wherein r is the radius of the circle and π( pi) is a accurate constant about equal to 3.14.
If the radius of the circle is 8 cm, then the precise circumference is:
C = 2πr = 2 × 3.14 × 8 ≈ 50.24 cm
Consequently, the given estimate of 24 cm is extensively decrease than the real value of the circumference. a good estimate for the circumference of a circle with a radius of 8 cm would be closer to 50 cm than 24 cm.
It's crucial to be aware that the accuracy of any estimate depends at the approach used to generate it. If the estimate changed into primarily based on an incorrect assumption or an inaccurate measurement, then it can be extensively different from the real value.
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