A car wheel with a diameter of 20 inches spins at the rate of 11 revolutions per second. What is the car's speed in miles per hour? (Round your answer to three decimal places.)
Answers
Rounding to three decimal places, the car's speed is approximately 68.182 miles per hour.
To find the car's speed in miles per hour, we need to determine the distance the car travels in one second and then convert it to miles per hour.
The circumference of the wheel can be calculated using the formula C = πd, where d is the diameter.
C = π * 20 inches
Since the car makes 11 revolutions per second, it travels a distance of 11 times the circumference of the wheel in one second.
Distance traveled in one second = 11 * C
To convert this distance from inches to miles, we divide by 12 to convert inches to feet and then divide by 5280 to convert feet to miles.
Distance traveled in one second (in miles) = (11 * C) / (12 * 5280)
Now, to find the speed in miles per hour, we multiply the distance traveled in one second by the number of seconds in an hour, which is 3600.
Speed in miles per hour = (11 * C * 3600) / (12 * 5280)
Calculating this expression, we find:
Car Speed ≈ 68.182 miles per hour
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Related Questions
Find the following probabilities. For full marks, provide a graph showing the corresponding area: [6 marks] a) P (0 -1.57) c) P (-1.34
Answers
To find the probabilities and represent them graphically, we need more information such as the probability distribution or density function associated with the random variable. hs.
To calculate probabilities and create graphs, we require the probability distribution or density function associated with the random variable. This function describes how probabilities are distributed across different values of the variable. Without this information, we cannot determine the probabilities or create accurate graphs.
In the given question, only intervals are provided (e.g., (0 < x < 1.57) or (-1.34 < x < 0)). However, we don't know the specific probability distribution or the shape of the distribution. Different distributions have different shapes and characteristics, and each would require a different approach to calculate probabilities and create corresponding graphs.
For example, if we assume a normal distribution, we would need to know the mean and standard deviation to determine the probabilities within specific intervals. Alternatively, if we are dealing with a discrete distribution, such as a binomial or Poisson distribution, we would need to know the relevant parameters for those distributions.
Therefore, without additional information about the probability distribution or density function, we cannot provide specific probabilities or create corresponding graphs.
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the route used by a certain motorist in commuting to work contains two intersections with traffic signals. the copyright 2016 cengage learning. all rights reserved. may not be copied, scanned, or duplicated, in whole or in part. due to electronic rights, some third party content may be suppressed from the ebook and/or echapter(s). editorial review has deemed that any suppressed content does not materially affect the overall learning experience. cengage learning reserves the right to remove additional content at any time if subsequent rights restrictions require it. 66 chapter 2 probability probability that he must stop at the first signal is .4, the analogous probability for the second signal is .5, and the probability that he must stop at at least one of the two signals is .7. what is the probability that he must stop a. at both signals? b. at the first signal but not at the second one? c. at exactly one signal?
Answers
a. The probability that he must stop at both signals is 0.2.b. The probability that he must stop at the first signal but not at the second one is 0.2.
c. The probability that he must stop at exactly one signal is 0.5.
a. The probability that he must stop at both signals is equal to the product of the individual probabilities of stopping at each signal, which is 0.4 x 0.5 = 0.2.
b. The probability that he must stop at the first signal but not at the second one is equal to the probability of stopping at the first signal only, which is 0.4.
c. The probability that he must stop at exactly one signal is equal to the sum of the probability of stopping at the first signal and the probability of stopping at the second signal, which is 0.4 + 0.5 = 0.5.
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Pls help I don’t do math
Answers
Answer:
Any graph that intersect the y-axis twice is not a function ....
So, option C is correct ..
mark me as brainliest ❤️
How many solutions does the system of equations graphed below have?
Answers
Step-by-step explanation:
The two lines intersect at one point so the system has exact same solution (one solution )
Between which two consecutive whole
numbers is each square root?
How do you know?
b) 11
c) 57 d) 38
e) 171
f) 115
)
a) 5
Answers
The two consecutive whole numbers are 2 and 3, since √5 is between √4 = 2 and √9 = 3.
a) √5:
Since 2² = 4 and 3² = 9, √5 lies between 2 and 3 because 4 < 5 < 9.
b) √11:
Since 3² = 9 and 4² = 16, √11 lies between 3 and 4 because 9 < 11 < 16.
c) √57:
Since 7² = 49 and 8² = 64, √57 lies between 7 and 8 because 49 < 57 < 64.
d) √38:
Since 6² = 36 and 7² = 49, √38 lies between 6 and 7 because 36 < 38 < 49.
e) √171:
Since 13² = 169 and 14² = 196, √171 lies between 13 and 14 because 169 < 171 < 196.
f) √115:
Since 10² = 100 and 11² = 121, √115 lies between 10 and 11 because 100 < 115 < 121.
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12. two boxes contain a total of 175 screws. one box has 6 times more than the other. how many screws are in the large box? a 100 b 125 c 150 d 200
Answers
Two boxes contain a total of 175 screws. one box has 6 times more than the other. 150 screws are in the large box. So the answer is C. 150.
The given problem can be solved by using algebra. Let x be the number of screws in the smaller box. Then, the larger box has 6x screws. We know that the total number of screws in both boxes is 175, so we can set up the equation:
x + 6x = 175
7x = 175
x = 25
So, the smaller box has 25 screws and the larger box has 6x = 6(25) = 150 screws.
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Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
Answers
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
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Achley Company began the year with owner's equity of 5175000 . During the year, the company recoeded cevenues of $225,000, esgenses of $165,000, and had owner dowings of 550.000. What was Aaivey Comphny's owner's engiety at the end of the year?
Answers
At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.
To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.
So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.
Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.
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HELLO GUYS AND GIRLS CAN YOU PLEASE HELP?
(Find the value of x in degrees)
Answers
Answer:
x = 25 and x = 47
Step-by-step explanation:
(9)
The given angles are vertical and congruent , then
2x + 10 = 60 ( subtract 10 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25
(10)
The given angles are vertical and congruent , then
2x + 6 = 100 ( subtract 6 from both sides )
2x = 94 ( divide both sides by 2 )
x = 47
Drag each number to the correct location on the table.
Classify the real numbers as rational or irrational numbers.
Answers
Answer:
\(\text{Rational number} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{ Irrational number}\)
\(3\sqrt{25} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \sqrt{141}\\\\\sqrt{256} \\\\1. \overline{ 1625} \\\\\frac{-11}{151}\)
Step-by-step explanation:
Since we believe it
The number sequence is that those which can be described as \(\frac{p}{q}\) and that is not ending and recurring. Figures that are unreasonable are also the ones, that are not \(\frac{p}{q}\) and therefore are non-ending, non-recurring.
The number sequence is \(3\sqrt{25} = 3 \times 5 = 15\)
Rational amount since it is classified as \(\frac{p}{q}\) .\(\frac{-11}{151}\) is really a rational number.
\(1.\overline{1.625}\) is a real function, since it does not end but repeats it.
The rational number \(\sqrt {256} = 16\)
Unreasonable number \(\sqrt{141}\).
Answer: Square root 400 = 20, 20 is a rational number.
Square root 1000 = 31.6227766 which is irrational
³√30 = 3.107232506 which is irrational
My sincerest apology that's all I know at the moment.
Step-by-step explanation: Tbh I looked most of them up in terms of finding out if they were Rational or Irrational but basically you find the square root of the problems that have the root sign and then find if their rational of not
Which of these is not a mixed number?
A
2 ½
B
840 ¾
C
\frac{76}{493}
493
76
D
93 ⅓
Answers
After considering the given data we conclude that the correct answer is C. \(\frac{76}{493}\)is called a non mixed number. It is considered a fraction represented in fractional form.
The right response is C.\(\frac{76}{493}\) is definitely not a blended number. It is said to be a portion addressed in partial structure.
A blended number consists of an entire number and a small portion. Choices A, B, and D address blended numbers.
A) 2 ½: This is a blended number since it has an entire number (2) and a legitimate division (½).
B) 840 ¾: This is a blended number since it has an entire number (840) and a legitimate portion (¾).
C) \(\frac{76}{493}\): This is definitely not a blended number; it is a small portion.
D) 93 ⅓: This is a blended number since it has an entire number (93) and a legitimate portion (⅓).
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the radius of a circle is 1 inch . what is the circle's area
Answers
Step-by-step explanation:
area = pi × r²
= 3.14 × 1 × 1 = 3.14 inch²
Answer:
3.14
Step-by-step explanation:
A=πr2=π·12≈3.14159in²
1 4/5 as a decimal thank you (will be giving brainliest to first answer that is correct) : D
Answers
Answer:
yes its decimal
Step-by-step explanation:
The given fraction into percent and decimal are; 2.8 and 280%
How to convert percent to fraction and decimal?Percent counts the number compared to 100.
There is a fraction, containing numerator(upper value) and denominator(lower value).
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get,
For each 1, there are a/100 parts.
Thus, 50% = 50/100 = 0.50 (in decimal)
There is a fraction, containing numerator(upper value) and denominator(lower value).
The mixed fraction contains a sum of whole number and a proper fraction.
WE have been given a fraction as;
14/5
Then Fraction Decimal Percentage
2.8 and 280%
The given fraction into percent and decimal are; 2.8 and 280%
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Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
A 3-column table with 3 rows. Column 1 is labeled Day with entries 1, 2, 3. Column 2 is labeled Item with entries sofa chair, loveseat, couch. Column 3 is labeled Price with entries 350 dollars, 500 dollars, 1,200 dollars.
What is the total amount she earned over these three days?
Answers
The amount of money earned by Kiki earned $614 in three days.
What is the salary?The amount paid by any company or industry to the employees after deductions of the several taxes is the salary.
Given that:
Per day salary of Kiki = $150
Commission = 8% of sales
Worth of sold items = $350+$500+$1200 = $2050
Amount of commission = 0.08 x 2050 = $164
Total amount earned in three days = Base salary per day * Number of days + Commission
Total amount earned = 150*3 + 164
Total amount earned = 450 + 164 = $614
Hence, Kiki earned $614 in three days.
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4x + 3y = 1
x - 3y = -11
Answers
Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 1 → (1)
x - 3y = - 11 → (2)
Adding the 2 equations term by term will eliminate the y- term
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
4(- 2) + 3y = 1
- 8 + 3y = 1 ( add 8 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (2, - 3 )
Answer:
x=-2, y=3
Step-by-step explanation:
4x + 3y = 1.......... Equ 1
x - 3y = -11...........Equ 2
5x=-10
x=-2
From equ 1
4x + 3y =1
4(-2)+3y=1
-8+3y=1
3y=1+8
3y=9
y=3
Determine the level of measurement of the variable. Positions of runners in a race. A nominal. B ratio. C interval D. Ordinal
Answers
Answer: D. Ordinal
Step-by-step explanation:
There are four levels of measurements scales of a variable :-
Nominal scale : Used for categorical data on the basis of the characteristic like sex, religion color, etc. Ordinal scale : Used to order the attributes as per their ranks such as First ,Second , Third and so on. Interval scale : Used when the difference between any two values can be calculated and has meaning such as Fahrenheit scale to measure temperature. Ratio scale : It accommodates all the qualities of the 3 measures and in addition a "true zero" point. For example : Age.Positions of runners in a race comes in ordinal scale because we need to order them with their respective rank.
So, the correct option is D. Ordinal
a meteorologist found from the past year's records that it rained 21 dof that days based on this information what is the probability that for arnadom sample of 18 days it rained 4 of those days
Answers
here is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
The meteorologist can use probability to determine the likelihood of it raining on a certain number of days in a random sample of 18 days. Based on the past year's records, the probability of it raining on any given day is 21/365, or approximately 0.0575. Using the binomial distribution formula, the probability of it raining exactly 4 times in a random sample of 18 days is:
P(4) = (18 choose 4) * (0.0575)^4 * (1 - 0.0575)^(18 - 4)
P(4) = 0.198
Therefore, there is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
This probability is based on the assumption that the weather patterns will remain similar to the past year's records.
more
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True or false
In order to
calculate interest, it is
the Principal times the
Rate minus any
Overdraft Fees.
Answers
Answer:
true
Step-by-step explanation:
Hope this helps. :)
(-2,0) and (1,5)
this is a slope question
Answers
Answer:
the answer is m=5/3, hope this really helps.
Answer:
slope: \(\frac{5}{3}\)
slope-intercept form: y=\(\frac{5}{3}\)x+\(\frac{10}{3}\)
Step-by-step explanation:
Hope this helps!
add the following -7 plus 7
Answers
Answer: 0
Step-by-step explanation:
-7,-6,-5,-4,-3,-2,-1,0
7 times
Have you ever wondered why the package of M&Ms you just bought never seems to have enough of your favorite color?
Answers
A. The appropriate inference procedure to test if the M&M color distribution changed from 2008 to 2017 is a goodness-of-fit chi-squared test.
B. The appropriate hypotheses for the test are:
H0: The observed color distribution of the M&M sample collected in 2016-2017 is equal to the M&M color distribution reported by the company in 2008.
Ha: The observed color distribution of the M&M sample collected in 2016-2017 is different from the M&M color distribution reported by the company in 2008.
C. The intermediate components of the chi-squared goodness-of-fit test are:
Expected count: Calculate the expected count of each color based on the M&M color distribution reported by the company in 2008.
Observed count: Observe the actual count of each color in the sample collected in 2016-2017.
Deviation: Calculate the deviation between the observed and expected count for each color.
Chi-squared statistic: Calculate the chi-squared statistic as the sum of the squared deviations, divided by the expected count.
P-value: Find the p-value by comparing the calculated chi-squared statistic to a chi-squared distribution with degrees of freedom equal to the number of colors minus one.
D. The conclusion from the test is not reliable. A p-value of 0.05 is usually used as a threshold for significance, and if the p-value is more significant than 0.05, the conclusion is that there is not enough evidence to reject the null hypothesis. However, in this case, the sample size is too small (712 candies) to make a reliable conclusion about the population, and the conclusion should be treated with caution.
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Find the slope between (-2, 5) and (8, 1)
Answers
Answer:
m= -2/5
Step-by-step explanation:
formula:
m = (y2 - y1) / (x2 - x1)
El perímetro de una circunferencia es de 40π cm, y tiene un ángulo de 130°. Calcula el área del sector de dicha circunferencia.
Answers
Answer:
Area of sector = 144.4π cm²
Step-by-step explanation:
Given:
Perimeter of circle = 40π cm
Given angle = 130°
Find:
Area of sector
Computation:
Perimeter of circle = 2πr
⇒ 40π = 2πr
⇒ 40 = 2r
⇒ Radius r = 40 / 2
Radius r = 20 cm
Area of sector = [θ/360][π][r]²
⇒ Area of sector = [130/360][π][20]²
⇒ Area of sector = [0.361][π][400]
Area of sector = 144.4π cm²
Can you please help me
Answers
Answer:
there is the answer. ❤ hope it helps
Statement 1: a figure is a polygon offend, only if all of its sides are in a line segments
Statement 2: I figure is not a polygon, if, and only, if not all of it sides are line segments.
Answers
The inverse of a biconditional statement is not equivalent to the original statement. The inverse statement may have a different meaning or convey a different condition.
The inverse of a biconditional statement involves negating both the "if" and the "only if" parts of the statement. In this case, the inverse of the biconditional statement would be:Inverse of Statement 1: A figure is not a polygon if and only if not all of its sides are line segments.
Now, let's analyze the relationship between Statement 2 and its inverse.
Statement 2: A figure is not a polygon if and only if not all of its sides are line segments.
Inverse of Statement 2: A figure is not a polygon if and only if all of its sides are line segments.
The inverse of Statement 2 is not equivalent to Statement 1. In fact, the inverse of Statement 2 is a different statement altogether. It states that a figure is not a polygon if and only if all of its sides are line segments. This means that if all of the sides of a figure are line segments, then it is not considered a polygon.
In contrast, Statement 1 states that a figure is a polygon if and only if all of its sides are line segments. It affirms the condition for a figure to be considered a polygon, stating that if all of its sides are line segments, then it is indeed a polygon.
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how many hands of three cards dealt from a standard deck contains cards from only one suit?
Answers
There are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.
To calculate the number of hands of three cards dealt from a standard deck that contains cards from only one suit, we can use the following approach:
Choose one of the four suits - this can be done in 4 ways.
Choose three cards from the chosen suit - this can be done in (13 choose 3) ways.
As we have only one suit in our hand, we cannot choose any cards from the other three suits.
Therefore, the total number of hands of three cards that contain cards from only one suit is:
4 * (13 choose 3) = 4 * (286) = 1144
Hence, there are 1144 hands of three cards dealt from a standard deck that contains cards from only one suit.
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what is equivialent to 8\11
Answers
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
Simplify
10-2
103
-100,000
*
1
10
1
10
100,000
RETRY
Answers
Answer:
100,000
Step-by-step explanation:
\( (\dfrac{10^{-2}}{10^3})^{-1} = \)
When you divide powers with the same base, subtract the exponents.
\( = (10^{-2 - 3})^{-1} \)
\( = (10^{-5})^{-1} \)
To raise a power to a power, multiply the exponents.
\( = 10^{-5 \times (-1)} \)
\( = 10^5 \)
\( = 100,000 \)
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answers
15552|2
7776|2
3888|2
1944|2
972|2
486|2
243|3
81|3
27|3
9|3
3|3
1
\(15552=2^6\cdot 3^5=(2^3\cdot3^2)^2\cdot 3\)
\((3+1)\cdot(2+1)=4\cdot 3=12\)
It's 12
A researcher measures the relationship between two variables, X and Y. If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then what is the value of the correlation coefficient?
A) 0.32
B) 0.34
C) 0.60
D) almost a zero correlation
Answers
The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
Given that a researcher measures the relationship between two variables, X and Y.
If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.
Correlation coefficient:
The correlation coefficient is a statistical measure that determines the degree of association between two variables.
It is denoted by the symbol ‘r’.
The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.
How to calculate correlation coefficient?
The formula to calculate the correlation coefficient is as follows:
r = SS(XY)/√[SS(X)SS(Y)]
Now, substitute the given values, we get:
r = 340/√[320000]r = 0.34
Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.
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