Which of the following are true statements about angle parking. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have a larger blind spaces than perpendicular spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Angle parking spots have half the blind spot as compared to perpendicular parking spaces. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Parking lots that have angle parking spaces can fit fewer cars than perpendicular parking. Angle parking is more common than perpendicular parking. Angle parking is more common than perpendicular parking. All are true statements.

a) The mean of this distribution is 7 min

b) The standard deviation is 4.0414 min

a) The mean is the midpoint between the ends or 7 min

variance is (b-a)^2/12 or 196/12 or 16.3333 min

b) standard deviation is sqrt(V)= 4.0414 min

the complete question is

a bus comes by every 14 minutes. the times from when a person arives at the bus stop until the bus arrives follows a uniform distribution from 0 to 14 minutes. a person arrives at the bus stop at a randomly selected time. round to 4 decimal places where possible.

a) The mean of this distribution is

b) The standard deviation is

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Answer:

a

c

c

a

Step-by-step explanation:

The rate at which his pulse is increasing after 3 minutes is 9.5 beats per minute

The given graph shows the curve and the tangent.

From tangent line, we have the following points:

(x,y) = (3,119) and (1,100)

The beat rate (m) at this point is:

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{100 - 119}{1 - 3}\)

Evaluate the differences

\(m = \frac{-19}{-2}\)

Evaluate the quotient

m = 9.5

Hence, the rate at which Sam's pulse is increasing after 3 minutes is 9.5 beats per minute

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Option 2 has a lower NPV and thus should be chosen as it results in less total payment and better savings. Hence, you would choose option 2 as the Net Present Value of choosing option 2 is -9,903,615.48.

Given:

Purchase price = 12.5 million baht

Down payment = 15%30-year mortgage

We have to calculate the option which is best for us.

Option 1: Mortgage rate = 7.25%

Option 2:Mortgage rate = 6.75%

(a) Monthly Payment of Option 1:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12

= 360

i = 7.25%/12

= 0.006042857

Yearly Interest Paid = i * 10,625,000

= 64,515.48 baht

Monthly Interest Paid = 64,515.48 / 12

= 5,376.29 baht

EMI =\([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI = \([10,625,000 x 0.006042857 x (1+0.006042857)^360] / [(1+0.006042857)^360-1]\)

EMI = 69,677.31 baht

(b) Monthly Payment of Option 2:

Loan Amount = 12.5 * (100-15)%

= 10,625,000 baht

n = 30 * 12 = 360

i = 6.75%/12 = 0.005625

Yearly Interest Paid = i * 10,625,000

= 59,765.63 baht

Monthly Interest Paid = 59,765.63 / 12

= 4,980.47 baht

Point cost = 4% of Loan Amount

= 10,625,000 x 4/100

= 425,000 baht

Loan Amount after Deducting Points = 10,625,000 - 425,000

= 10,200,000 baht

EMI = \([P x R x (1+R)^n] / [(1+R)^n-1]\)

where P = Loan Amount, R= Interest Rate per month, n= total number of payments.

EMI =\([10,200,000 x 0.005625 x (1+0.005625)^360] / [(1+0.005625)^360-1]\)

EMI = 66,128.92 baht

(c) We have to calculate the NPV of the payments to decide which option is better.

We use the formula to calculate NPV:-

NPV = - \([B + (PMT / i) * (1 - (1 + i)^-n)] / ((1 + i)^t)\)

Where B = amount borrowed, PMT = monthly payment, i = interest rate, n = total number of payments, t = year.

NPV =\(- [10625000 + (69677.31 / 0.006042857) * (1 - (1 + 0.006042857)^-360)] / ((1 + 0.006042857)^30)\)

= -9,892,571.85 baht

NPV = \(- [10200000 + (66128.92 / 0.005625) * (1 - (1 + 0.005625)^-360)] / ((1 + 0.005625)^30)\)

= -9,903,615.48 baht

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Answer:

Unit rate per loaf of bread is \(2\frac{1}{3}\) cups of flour.

Step-by-step explanation:

It is given that:

Priya uses 7 cups of flour to make 3 loaves of banana bread.

3 loaves = 7 cups

Unit rate per loaf = \(\frac{7}{3}\)

Unit rate per loaf = \(2\frac{1}{3}\) cups

Therefore,

Unit rate per loaf of bread is \(2\frac{1}{3}\) cups of flour.

Answer:

Choice b. \(q\) has to be false.

Step-by-step explanation:

Consider the truth table of \(p \implies q\) (\(p\) implies \(q\)).

The only combination where \(p \implies q\) is false is when \(p\) is true and \(q\) is false. Hence, the \(q\!\) here must be false.

Answer:

I / (rt) = P

Step-by-step explanation:

I=Pr t

Divide each side by rt

I /( rt)=Pr t /(rt)

I / (rt) = P

The base 10 value of the 3-digit hexadecimal number 2E5 is 741. The probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

a) To convert a hexadecimal number to its decimal equivalent, you can use the following formula:

(decimal value) =\((last digit) * (16^0) + (second-to-last digit) * (16^1) + (third-to-last digit) * (16^2) + ...\)

Let's apply this formula to the hexadecimal number 2E5:

(decimal value) = \((5) * (16^0) + (14) * (16^1) + (2) * (16^2)\)

= 5 + 224 + 512

= 741

Therefore, the base 10 value of the 3-digit hexadecimal number 2E5 is 741.

b) To find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, we need to determine the number of valid options and divide it by the total number of possible 3-digit hexadecimal numbers.

The number of valid options with only letters can be calculated by considering the following:

Therefore, the total number of valid options is 6 * 6 * 6 = 216.

The total number of possible 3-digit hexadecimal numbers can be calculated by considering that each digit can be any of the 16 possible characters (0-9, A-F), allowing repetition. So, we have 16 choices for each digit.

Therefore, the total number of possible 3-digit hexadecimal numbers is 16 * 16 * 16 = 4096.

The probability is then calculated as:

probability = (number of valid options) / (total number of possible options)

= 216 / 4096

To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which in this case is 8:

probability = (216/8) / (4096/8)

= 27 / 512

Therefore, the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.

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This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.

Let M_n be the maximum of n independent U(0, 1) random variables.

To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:

First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n

So, P(M_n ≤ 1-ε) = (1-ε)^n

Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon

Hence, P(M_n ≥ 1+ε) = (1-ε)^n

Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)

P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.

Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n

Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}

Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.

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Answer:  The slope is undefined.

Step-by-step explanation:

The graph of this line is a vertical line, parallel to the y-axis, passing through 2 on the x-axis and includes every real y-value.

Slope is rise/run. The run is the difference in x-values. 2-2=0  

Division by 0 is "undefined"

Answer:

Circumference = (3.14)(15) = 47.1 in

Step-by-step explanation:

Answer:

\(\displaystyle 74,6\)

Step-by-step explanation:

You have a 6 in the tenths position, so the 4 in the hundredths position tells you to STAY at \(\displaystyle 74,6.\)

I am joyous to assist you at any time.

The rotational kinetic energy of the flywheel is  572,819 J.

The flywheel you described has a radius of 1.58 m and a mass of 91.6 kg. It is spinning counterclockwise at 477 rpm. This means it has a certain amount of rotational kinetic energy, which is proportional to both its mass and its speed of rotation. The formula for rotational kinetic energy is 1/2*I*w^2, where I is the moment of inertia (a measure of how spread out the mass is in the object) and w is the angular velocity (the speed of rotation in radians per second).

To find the moment of inertia of the disk, we can use the formula I = 1/2*m*r^2, where m is the mass and r is the radius. Plugging in the values given, we get I = 1/2*91.6 kg*(1.58 m)^2 = 228.6 kg*m^2.

To convert the rotational speed from rpm to radians per second, we need to multiply by 2*pi/60. So, w = 477 rpm * 2*pi/60 = 50.04 rad/s.

Using these values, we can calculate the rotational kinetic energy of the flywheel as 1/2*(228.6 kg*m^2)*(50.04 rad/s)^2 = 572,819 J.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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Answer:

1 2 4 6. Tell me if im wrong.

Step-by-step explanation:

Answer:

yes the answer is   1   2   4   6  

Step-by-step explanation:

Answer: At 12:00 p.m., the minute hand points straight up at (0,10).

At 12:05 p.m., the minute hand has rotated 30 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(30) = 8.66

y = 10 * sin(30) = 5

So, the coordinates would be approximately (8.66, 5).

At 12:45 p.m., the minute hand has rotated 180 degrees. The tip of the minute hand would be approximately:

x = 10 * cos(180) = -10

y = 10 * sin(180) = 0

So, the coordinates would be approximately (-10, 0).

At 12:55 p.m., the minute hand has rotated 330 degrees clockwise. The tip of the minute hand would be approximately:

x = 10 * cos(330) = -5.77

y = 10 * sin(330) = -8.66

So, the coordinates would be approximately (-5.77, -8.66).

Step-by-step explanation:

Answer: "C"

roots would make the function "0"

so just plug in the numbers...

with a + 12 you need minuses to cancel out...

B & C can not be the answer...

A is -i -3 + 4i - 12 which also is not 0

C is :  8i -12 -8i +12 WHICH DOES = 0

Step-by-step explanation:

Answer:

A right trapezoid is a trapezoid in which one of the sides is perpendicular to the two bases: In this special case, if you know the length of the perpendicular side, that's the same as the altitude of the trapezoid.

Answer: $23,600. ; $318,600

Step-by-step explanation:

From the question, we are informed that a house on the market was valued at $295,000 and after several years, the value increased by 8%.

The value of the increase will be 8% of $295,000. This can be mathematically written as:

= 8% of $295,000

= 8/100 × $295,000

= 0.08 × $295,000

= $23,600

The current value of the house will be:

= $295,000 + $23,600

= $318,600

According one-way ANOVA, the test is false.

We learn about one-way ANOVA

"One-Way ANOVA, also known as "analysis of variance," examines the refers to two or more independent groups to see if there is statistical support for the notion that the related population means are statistically substantially different."

According to the given information, it is inappropriate to compare two means at a time using multiple independent two sample​ t-tests. It will create multiple testing problem and error.

So using one way ANOVA test when comparing three or more populations refers to within a set of quantitative data that is categorized according to one​ factor/treatment and compare two means at a time using multiple independent two sample​ t-tests is false.

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If there is 475020 possible ways of choosing six numbers then the expected value of this game is -$0.10.

To calculate the expected value, we need to multiply each possible outcome by its corresponding probability and sum them up. In this case, there are two possible outcomes: winning the jackpot with a probability of 1/475020 or losing with a probability of (475020-1)/475020.

The expected value can be calculated as follows:

Expected Value = (Probability of Winning * Winnings) + (Probability of Losing * Losses)

             = (1/475020 * $49,999) + ((475020-1)/475020 * -$1)

             = $0.10 - $0.10

             = -$0.10

The negative sign indicates that, on average, the player can expect to lose $0.10 per game they play.

This means that over the long run, if the player were to play this game many times, they can expect to lose an average of $0.10 per game. Therefore, from a financial standpoint, the expected value of this game is unfavorable for the player.

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Answer:

7 x 10^-7

Step-by-step explanation:

If you use scientific notation,

move the decimal 7 places to the right to find a whole number between 1 and 9.

then, count the number of spaces.

in this instance, since the original number was a decimal, you need to put a negative power of 10.

hope this helps :)

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The rate at which the wage earners and rural households should save is 21%.

Given that:

Depreciation (δ) = 0.03

Capital output ratio (c) = 3

Profit share of income (π/Y) = 0.5

Savings out of capital income (sπ) = 25% = 0.25

We know that the modified Harrod-Domar growth model is given as:

c(g+δ) = (sπ - sW)(Yπ) + sW

We can rearrange the above equation to find the value of savings out of wage income as follows:

sW = c(g+δ - sπ(Yπ))/ (sπ - π/Y)

Plugging in the given values:

sW = 3(0.04 + 0.03 - 0.25(0.5))/ (0.25 - 0.5)

On solving the above equation, we get:

sW = 0.21 or 21%

Hence, the rate at which the wage earners and rural households should save is 21%. Therefore, the required answer is 21%.

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

C

Step-by-step explanation:

Recall the point-slope form of a linear equation:

\(y-y_{1}=m(x-x_{1} )\)

Where y1 and x1 are points from the ordered pair (x1, y1),

and m represents the slope of the line.

We are given that the point (-5, 7) belongs to the graph. Here, the x-coordinate is -5, and the y-coordinate is 7.

Let's plug in these values, were x1=-5, and y1=7:

\(y-y_{1}=m(x-x_{1} )=\\y-7=m(x-(-5))=\\y-7=m(x+5)\)

We are also given that the slope is -4/3.

In other words, m=-4/3. Let's plug this value in:

\(y-7=m(x+5)=\\y-7=-\frac{4}{3}(x+5)\)

Thus, the answer is C.

Answer:

C

Step-by-step explanation:

The point-slope form of the equation of a line passing through the point (x1, y1)with a slope of m is given by:

y - y1 = m(x - x1)

To find the equation of the line passing through the point (-5, 7)with a slope of -4/3, we substitute m = -4/3, x1 = -5, and y1 = 7 into the point-slope form equation:

y - 7 = (-4/3)(x - (-5))

Simplifying this equation, we get the final result in slope-intercept form:

y = (-4/3)x + (17/3)

Therefore, the equation of the line in a point-slope form that passes through (-5,7) and has a slope of -4/3 is y + 7 = -4/3 (x + 5)

The value of y is 1/ 2

The slope of a line can be defined as a number that describes;

Slope of a line is also called the gradient of a line.

It is also known as the ratio of the rise to the run, or the quotient of  the riser to the run.

The formula for slope is expressed as;

Slope = y2 - y1/ x2 - x1

Now, substitute the values

-2/ 7 = 4 - y/3 - 10

Find the ratio

-2/ 7 = 4 - y/-7

cross multiply

14 = 7(4 - y)

expand the bracket

14 = 28 - 7y

collect like terms

14 - 28 = -7y

-14 = -7y

Make 'y' the subject of formula

y = 1/2

Thus, the value of y is 1/ 2

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The arc length for a circle with diameter 10 inches abd central angle 60 degrees. round the nearest tenth is 5.2. The answer is (c) 5.2 inches.

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When Y=14 then x will be 20 for the given linear line (Linear equation).

What is a linear equation ?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

Ax + B = 0

e.g. x-10=0. Here, x is a variable, A is a coefficient and B is constant.

The standard form of a linear equation in two variables is of the form

Ax + By = C

e.g. 2x-4y=10. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

As we can see from the graph that for values of y and x

y increase 3 points when x increase 5 points

e.g. (5,5) and (10,8)

Following the same trend when y=14 then x will be 20.

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