If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. Please enter a decimal to 4 places. .6083

Answer:

y = -2/3x + 4

Step-by-step explanation:

first we take the original equation and convert it to y=mx+b (a form we know how to graph)

that gives us y = 3/2x + 2

(Here's my work for that):

6y - 9x = 12; add 9x on both sides

6y = 9x + 12; divide 6 on both sides

y = 9/6x + 12/6

y = 3/2x + 2

next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)

then we just uh graph that slope and try to find the y intercept. i did it already and i got 4

Answer:

Step-by-step explanation:

You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.

Add 9x to both sides.

6y - 9x + 9x = 9x + 12

6y = 9x + 12                   Divide by 6

6y/6 = 9x/6 + 12/6

y = 1.5x + 2

Now the perpendicular line must have a slope that is found by using

m1 * m2 = - 1

m1 = 1.5             From the equation above.

1.5 * m2 = - 1     Divide by 1.5

m2 = -1/1.5

m2 = - 2/3

So far what you have is

y = -2/3 x + b                  You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do

The complete equation becomes

y = -2/3 x + 1

The graph is enclosed.

Answer: F. (25 − c) ÷ 4

Step-by-step explanation:

Emma had 25 cookies and gave c cookies to her mom and then divided the rest evenly amongst her 4 friends.

The cookies she shared to her friends are the 25 cookies minus the number of cookies she gave her mom which is:

= 25 - c

This (25 - c) was divided by 4 with each portion given to a friend so the total each friend got was:

= (25 - c) / 4

Answer:

x = 17

Step-by-step explanation:

The two angles form a right angle ( indicated by the square )

Right angles have a measure of 90°

Thus, x + 73 = 90

90 - 73 = 17

Hence, x = 17

To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Here's the C programming code to calculate the logarithm base 10 of a decimal number:

```c

#include <stdio.h>

#include <math.h>

int main() {

   double number, result;

       printf("Enter a number: ");

   scanf("%lf", &number);

       result = log10(number);

       printf("Logarithm base 10 of %.3lf: %.4lf\n", number, result);

       return 0;

}

```

To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.

Please note that I am unable to directly receive or view any files you upload. If you have any questions or need further assistance while running the code, feel free to ask.

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We use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples. Hence, it is TRUE

The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do. The ANOVA test is used by analysts to ascertain how independent factors in a regression analysis affect the dependent variable.

ANOVA basically stands for analysis of the variance.

Hence, according to above statements, given fact is true.

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Answer:

14

Step-by-step explanation:

*Notice that number of green marbles did not change throughout

Therefore,

36 green marbles -> 2/5 of Sean total marbles

Sean's total marbles = 36/2 *5 = 90

Number of red marbles won = 90-36-40 = 14

Answer:

\(x=30cm\)

\(y=30+5=>35cm\)

Step-by-step explanation:

From the question we are told that

Sides difference \(\triangle x= 5cm\)

Area difference  \(\triangle a=326sq.cm\)

Let first square be A

Let second square be B

Generally the area of a square is mathematically given by

Area of a square\(A=x*x=x^2\)

Area of a square\(B=(x+5)^2=x^2+25+10x\)

\(Area \A - Area\ B =325\)

Therefore from the equations above

\(x^2+25x+10-x^2=325\)

\(10x=325-25\)

\(x=300/10\)

\(x=30cm\)

Therefore

Side of the first square

\(x=30cm\)

Side of the second square.

\(y=>30+5=35cm\)

Check answer

\(35^2-30^2=325\)

The probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

You want to find the probability that the mean blood pressure of 64 randomly selected people will be less than 118, given that blood pressure readings are normally distributed with a mean of 116 and a standard deviation of 6.4.

Step 1: Calculate the standard error of the mean (SEM).
\(SEM=\frac{standard deviation}{\sqrt{sample size} }\)
\(SEM=\frac{6.4}{\sqrt{64} }\)
\(SEM=\frac{6.4}{8}\)
\(SEM = 0.8\)

Step 2: Calculate the z-score for the given value (118) using the formula:
\(z = \frac{X-mean}{SEM}\)
\(z = \frac{118-116}{0.8}\)
\(z=\frac{2}{0.8}\)
z = 2.5

Step 3: Use the z-score to find the probability (area under the curve to the left of z).
From the z-table or using an online z-score calculator, the probability for a z-score of 2.5 is approximately 0.9938.

So, the probability that the mean blood pressure of 64 randomly selected people will be less than 118 is approximately 0.9938.

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The lake activity with central angle of 46.8° is Waterskiing. The Option C.

The total number of campers surveyed is 100.

The percentage of campers for each activity is as follows:

To calculate the central angle for each activity, we can use the formula: \(Central angle = Percentage * 360°\)

Kayaking:

= 15% * 360°

= 54°

Wakeboarding:

= 11% * 360°

= 39.6°

Windsurfing:

= 7% * 360°

= 25.2°

Waterskiing:

= 13% * 360°

= 46.8°

Paddleboarding:

= 54% * 360°

= 194.4°

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Answer:

a or b

Step-by-step explanation:

just took the quiz

The stem and leaf plot is an illustration of graphs and charts.

The number of days of temperatures displayed on the stem and leaf plot is 10

The stem and leaf plot is given as:

Stem            Leaf

4                   9

5                   2  4   4  6  8

6                   0   1

7                   2   3

To determine the number of days, we simply count the number of leaves on the plot.

The leaves on the plot are:

Leaves: 9, 2, 4, 4, 6, 8, 0, 1, 2 and 3

The number of leaves is:

Count = 10

Hence, the number of days of temperatures displayed on the stem and leaf plot is 10

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Using division operation, the quantity of candies that Carol should eat daily is 0.022 pounds.

Division operation is one of the four basic mathematical operations.

Other basic mathematical operations include addition, subtraction, and multiplication.

A division operation involves the dividend divided by the divisor to result in a quotient.

The number of days that Carol wanted her box of candy to last = 5 days

The weight of the pound of candy = 1/9 pounds

The quantity of candies to eat daily = 0.022 pounds (1/9 ÷ 5)

Thus, daily Carol should eat 0.022 pounds.

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a. the population in 1790 was 3.93 million. b. the population in 1820 can be expressed as N = 3.93 x 1.03^t, where t is the number of years since 1790. c. the population of the United States in 1820 was approximately 31.12 million.

(a) To find the population in 1790, we plug in t = 0 into the given formula:

N = 3.93 x 1.03^0 = 3.93

Therefore, the population in 1790 was 3.93 million.

(b) To express the population in 1820 using functional notation, we plug in t = 30 into the given formula:

N = 3.93 x 1.03^30

Therefore, the population in 1820 can be expressed as N = 3.93 x 1.03^t, where t is the number of years since 1790.

(c) To calculate the value of the population in 1820, we plug in t = 30 into the formula and round to two decimal places:

N = 3.93 x 1.03^30 ≈ 31.12

Therefore, the population of the United States in 1820 was approximately 31.12 million.

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Answer:

Step-by-step explanation:

The answer is 650 if you use long division you get 6 to make 90 drop the 7 then it is 75 15 goes into 75 5 times then add a zero for the last digit there for making 650. I also checked my work by multiplying 15X650 and I got 9,750.

9 minutes is the new standard time for the navigator iii.

What is statistics and example?

If a process improvement has changed the mean observed time for element 6 to 1.50 minutes, then

Element            1    2            3         4             5          6  

Mean obs. Time(t) 1.11   3.1    0.895  1.283333 1.565 1.5  

Normal time       1.0545  1.395 0.93975 1.283333 1.33025 1.65   Sum

Standard time   1.240588 1.641176 1.105588  1.509804 1.565 1.941176

   Sum    9.003333

New standard time = 9 minutes

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The answer is that there will be one row with nine basketballs lined up in the center court, and the remaining three basketballs will not form a complete row.

To determine the number of rows with nine basketballs that will be lined up in the center court, we can divide the total number of basketballs by the number of basketballs in each row.

Given that Coach Fitzpatrick has 12 basketballs in the storage bin and he lines them up in rows of nine, we need to find how many times nine can be divided into 12.

Dividing 12 by 9, we get:

12 ÷ 9 = 1 remainder 3

This calculation tells us that we can have one full row of nine basketballs, and there will be three basketballs left over.

Since we are interested in the number of full rows, we can conclude that there will be one row with nine basketballs lined up in the center court.

The remaining three basketballs cannot form a complete row, so they will not be lined up in the center court. They may be placed separately or stored in another location.

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The measure of m<WVX is 80 degrees

To determine the angle, we need to know that the formula for calculating the area of a sector is expressed as;

A = θ/360 × πr²

Such that the parameters are;

Now, substitute the value, we have;

8π = <V /360 × π × 6²

Find the square and multiply

8 = <V/360 ×36

divide the values

<V = 8(10)

<V = 80 degrees

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Answer: $2.45

Step-by-step explanation:

An easy way to find the correct tip is to learn what 20% of 12.25 is

Let's convert the percentage to a decimal by moving the decimal point two spaces to the left. Now we have .2

.2 X 12.25 = 2.45

2.45 is 20% of 12.25

9514 1404 393

Answer:

  2.05 hours

Step-by-step explanation:

Using the given equation with the given time, we have ...

  55x +35(2.5) = 200

  55x = 112.5 . . . . . . . . subtract 87.5

  x = 2.05 . . . . . . . . . . divide by 55

The car spends 2.05 hours at 55 mph.

Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.

Below are brief explanations of each of these terms:

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Answer:

That smile tho lol

anywayssssss

b= 16 mm

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2= c^2, so-

12^2 +b^2= 20^2

144+b^2=400

b^2=400-144

b^2= 256

b= 16

Answer:

16 mm

Step-by-step explanation:

A²+B²=C²

12²+x²=20²

144+x²=400

x²=400-144

x²=256

√x = √256

x = 16

Answer:

The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Step-by-step explanation:

Mr. Schultz was given amount on his birthday = $75

We are given that Mr. Schultz needs $200 to buy some new Jordan shoes.

Let x be the amount of money Mr. Schultz needs to save to buy the shoes

So, Total Amount saved = 75+x

Total cost of shoes = $200

So, 75+x=200

So, The required equation is 75+x=200

So, Option A is true

Hence The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

If the scale factor is greater than 1, the image is larger than the preimage

A transformation called dilatation alters a figure's size without altering its shape. A figure might become bigger or smaller due to dilation. The initial figure in dilatation is referred to as the preimage. The image is an enlarged figure. The center of dilatation is a fixed location from which figures are distorted.

The scale factor specifies how much smaller or larger the picture will be when you dilate a figure.

• The picture is smaller than the preimage when the scaling factor is between 0 and 1. Reductions are referred to as dilations with scale factors between 0 and 1.

• The picture is larger than the preimage if the scale factor is greater than 1. Enlargements are defined as a dilation with a scale factor greater than 1. The prime sign, ', can be used to identify each new point in a dilated figure. For instance, point ', which stands for "prime," would be the dilated image of point.

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

Answer:

5x - 4y = 3 and 3x + 3y = 2 are linear equations.

Step-by-step explanation:

Linear equations:

Linear equations are algebraic equations with highest power of the variable 1.

       So, 5x - 4y = 3 and 3x + 3y = 2 are linear equations.

The answer and explanation to the hint is given below.

A word problem is a topic in mathematics which requires expressing a given statement or situation with a mathematical equation. The mathematical equation derived would be solved further so as to determine the unknown value of a variable.

In the given question, let the age of Marcus' little brother be represented by x. Thus since Marcus is 10 years older than his little brother, then we have to add 10 to his little brother's current age.

Thus,

Marcus age = his little brother's age+10

                    = x+10

So that, Marcus's age is expressed as; x+10.

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To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

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To solve we need to calculate the z-score, but since we are given the sample size then we shall begin as follows:

The z-score is calculated as (320 - 300)/(50/6) = 2.4, which means that the value of 320 is 2.4 standard deviations above the population mean of 300. Using a standard normal table or calculator, we can find the probability that a standard normal random variable is less than 2.4, which is approximately 0.9918.

This means that the probability that the sample mean is greater than 320 is approximately 0.9918. In other words, there is a 99.18% chance that a randomly selected sample of 36 U.S. Marines will have a mean number of pushups greater than 320.

μ=300, σ=50, n=36, x=320

So,

σ/√n

= 50/√36

= 8.33333

z=(320-300)/8.33333

z=2.4

Therefore,

P(x>320)=P(z<2.4)=0.9918.

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The surface integral of the given surface \(z=\frac{2}{3}(x^\frac{3}{2}+y^\frac{3}{2})\) in the intervals 0 ≤ x ≤ 4, 0 ≤ y ≤ 1 is 7.36615.

To evaluate the surface integral, the formula applied is

\(S=\int\limits^b_a\int\limits^d_c {f(x,y)} \ dy\ dx\)

⇒ S = \(\int\limits^b_a \int\limits^d_c {\sqrt{1+(\frac{dz}{dx})^2+(\frac{dz}{dy})^2 } } \, dy \, dx\)

Where the differentiation is partial differentiation and f(x, y) = z.

The given function is

f(x, y) = \(z=\frac{2}{3}(x^\frac{3}{2}+y^\frac{3}{2})\)

Then, applying the partial differentiation w.r.t x and y respectively,

dz/dx = \(\frac{2}{3}(\frac{3}{2})x^{1/2}\) = \(x^{1/2}\)

dz/dy = \(\frac{2}{3}(\frac{3}{2})y^{1/2}\) = \(y^{1/2}\)

Then,

we have surface integral  formula as

S = \(\int\limits^b_a \int\limits^d_c {\sqrt{1+(\frac{dz}{dx})^2+(\frac{dz}{dy})^2 } } \, dy \, dx\)

On substituting,

⇒ S = \(\int\limits^4_0 {\int\limits^1_0 {\sqrt{1+(x^{1/2})^2+(y^{1/2})^2} \, dy } \, dx\)

⇒ S = \(\int\limits^4_0 {\int\limits^1_0 {\sqrt{1+x+y} \, dy } \, dx\)

On integrating w.r.t y

⇒ S = \(\int\limits^4_0 {\frac{2}{3}(1+x+y)^{3/2}} \,|_0^1 dx\)

Applying limits,

⇒ S = \(\int\limits^4_0 {\frac{2}{3}[(1+x+1)^{3/2}-(1+x+0)^{3/2} } \, dx\)

⇒ S = \(\frac{2}{3} \int\limits^4_0 {[(x+2)^{3/2}-(x+1)^{3/2}}] \, dx\)

Again applying the integration w.r.t x

⇒ S = \(\frac{2}{3}[\frac{2}{5}(x+2)^{5/2}-\frac{2}{5}(x+1)^{5/2}]|_0^4\)

Applying the limits and simplifying,

⇒ S = \(\frac{4}{15}[(4+2)^{5/2}-(4+1)^{5/2}-(0+2)^{5/2}+(0+1)^{5/2}]\)

⇒ S = \(\frac{4}{15}[1+36\sqrt{6}-25\sqrt{5}-4\sqrt{2}]\)

∴ S = 7.36615

Therefore, the surface integral of the given function is 7.36615.

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