The table summarizes results from 978 pedestrian deaths that were caused by automobile accidents. Driver Intoxicated? Pedestrian Intoxicated? Yes No Yes 41 85 No 218 634 If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was not intoxicated or the driver was intoxicated. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol. prob = %

Answer:

the chance is 1/12 or 8.333...%

hope this helps

Step-by-step explanation:

The type of error that explains the variability in the results between groups is "random error."Explanation:Random error is the variability between the groups' results due to the imprecision of the measuring instrument or technique.

It is caused by minor differences in the experimental conditions that are unpredictable and can not be controlled or accounted for in the experiment. Random error can lead to imprecise results that fluctuate from the main answer, which means that it is not biased towards one particular direction.The other type of error that is commonly known is "systematic error" which is characterized by consistent errors that occur in a specific direction due to the method or instrument used.

Systematic error is due to the inaccuracy of the measuring instrument or incorrect experimental design, and it can affect the accuracy of the main answer. Mistakes or human errors, on the other hand, are due to human error, such as incorrect calculations or transcriptions, and are not part of the sources of errors.

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The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

0.04, 3/11, 0.35, 3/5 would be the solution

This value is approximate.

============================================================

Explanation:

Let's focus on the 48 degree angle. This angle combines with angle ABC to form a 90 degree angle. This means angle ABC is 90-48 = 42 degrees. Or in short we can say angle B = 42 when focusing on triangle ABC.

Now let's move to the 17 degree angle. Add on the 90 degree angle and we can see that angle CAB, aka angle A, is 17+90 = 107 degrees.

Based on those two interior angles, angle C must be...

A+B+C = 180

107+42+C = 180

149+C = 180

C = 180-149

C = 31

----------------

To sum things up so far, we have these known properties of triangle ABC

Let's use the law of sines to find side b, which is opposite angle B. This will find the length of side AC (which is the distance from the storm to station A).

b/sin(B) = c/sin(C)

b/sin(42) = 24/sin(31)

b = sin(42)*24/sin(31)

b = 31.1804803080182 which is approximate

b = 31.2 miles is the distance from the storm to station A

Make sure your calculator is in degree mode.

The weather station A is 31.2 miles from the storm

From the triangle shown:

m<B = 90° - 48°

m<B = 42°

m<A = 17° + 90°

m<A = 107°

m<A + m<B + m<C = 180° (Sum of angles in a triangle)

107° + 42° + m<C = 180°

m<C = 180° - 149°

m<C = 31°

The distance between the weather stations A and B = 24 miles

That is, AB = 24 miles

The storm is at point C

The length AC is found by using the rule of sines:

\(\frac{sinC}{AB}=\frac{sinB}{AC} \\\\\frac{sin31}{24}=\frac{sin42}{AC} \\\\\frac{0.515}{24} = \frac{0.669}{AC} \\\\0.02146=\frac{0.669}{AC}\\\\AC=\frac{0.669}{0.02146} \\\\AC=31.2 miles\)

The weather station A is 31.2 miles from the storm

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Answer:

3rd answer

Step-by-step explanation:

Answer:

boba is good

Step-by-step explanation:

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

A, B, and C

Step-by-step explanation:

Very simple math. I learned this in second grade.

Answer:

D.

Step-by-step explanation:

The last one has the correct variables and amounts in the right order.

12x + 9y = 120

6x + 14y = 136

To calculate how much Gina will spend on squash for making pumpkin pies, we can multiply the required weight of squash by the cost per pound.

Weight of squash = 8.8 pounds

Cost per pound = $0.93

Total cost = Weight of squash * Cost per pound

= 8.8 * $0.93

= $8.16

Therefore, Gina will spend approximately $8.16 on squash for making pumpkin pies for Thanksgiving dinner.

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The perimeter of the cross-section of the rectangular prism is 42 meters.

The cross-section formed by the plane that contains points D, E, K, and L is a trapezoid with bases DE and KL and height 5.

The length of DE can be found using the Pythagorean theorem: DE = √((EK - DK)² + (EL - DL)²) = √((12 - 4)² + (0 - 0)²) = 8 meters.

Similarly, the length of KL is also 8 meters.

Therefore, the perimeter of the cross-section is the sum of the lengths of the sides of the trapezoid, which is given by

perimeter = DE + KL + 2√((EK - DL)² + 5²)

perimeter = 8 + 8 + 2√((12 - 0)² + 5²)

perimeter = 16 + 2*√(169)

perimeter = 16 + 26

perimeter = 42 meters (rounded to the nearest tenth)

Hence, the perimeter of the cross-section is 42 meters.

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--The given question is incomplete, the complete question is given

" The rectangular prism is intersected by a plane that contains points D, E, K, and L.

What is the perimeter of the cross section?

Enter your answer in the box. Round only your final answer to the nearest tenth.

m

A rectangular prism with height 5 meters, length 12 meters, and width 4 meters. The vertices are labeled as G, D, H, L, E, F, J, and K."--

Answer:

4x + (6(x-y)) or 10x + 6y

Step-by-step explanation:

A Pear costs (x) Pesos

An Orange costs (y) Pesos less than a Pear

Since an Orange is (y) Pesos less than a pear (x), we can find the cost of a Pear by subtracting (y) from (x) leaving (x-y) as the cost of an Orange

Since there are 4 Pears we use 4(x) to find the cost of Pears and to get the total cost of it all we use a half dozen (6) and use the equation for the cost of an Orange leaving us with 6(x-y)

The final total will be calculated with 4(x) + (6(x-y))

Or the final total can be simplified as 10x + 6y

Answer:

10x - 6y

Step-by-step explanation:

4x + 6 ( x - y )

= 4x + 6x - 6y

= 10x - 6y

Answer:

42c

Step-by-step explanation:

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

Step-by-step explanation:

Answer: D

Step-by-step explanation: I think

Answer:

2/5

Step-by-step explanation:

Answer:

x=0.5 and y=5

Step-by-step explanation:

8x+7y=39...eqn(1)×-14

4x-14y=-68...eqn(2)×7

we now have,

-112x-98y=-546

-(28x-98y=-476)

-140x÷-140 =-70÷-140

x=0.5

to solve for y, we substitute (x=0.5) into eqn (1) or eqn 2 which ever you want...

so I'm using eqn 1.

8x+7y=39

8(0.5)+7y=39

7y=39-4

7y÷7=35÷7

y=5

therefore, x=0.5, y=5

proof: substitute both x and y values to get you the same answer as the original solutions in both equations.

we have,

8(0.5)+7(5)=39

4(0.5)-14(5)=-68

Answer:

1/2 or 1.5 and 5

(1/2 , 0.5)

Step-by-step explanation:

i got it right...

Answer:

a² + b²

Step-by-step explanation:

(a + b)² - 2ab ← expand parenthesis using FOIL

= a² + 2ab + b² - 2ab ← collect like terms

= a² + b²

Answer:

4 and -2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

the slope = rise /run

Look at the graph to find 2 points that are easy to read for example (0, -2) and (4, 0).

How did you got from (0, -2 ) to (4, 0) by rising 2 and run 4 so your slope is

m=2/4=1/2

On average, there are approximately 1140 skiers riding on the lift at any one time.

To find out how many skiers are riding on the lift at any one time, we can use the following formula:

Number of skiers riding = (Rate of unloading) x (Time for one round trip)

Since the ride from the bottom to the top takes 19 minutes, the time for one round trip is 38 minutes (19 minutes up and 19 minutes down).

So, we can calculate the number of skiers riding on the lift at any one time as follows:

Number of skiers riding = (1800 skiers/hour) x (38/60 hour)

Number of skiers riding = 1140 skiers

Therefore, on average, there are approximately 1140 skiers riding on the lift at any one time.

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Step-by-step explanation:

I think you mean relation

Relation is the way in which two or more people or things are connected; a thing's effect on or relevance to another.

Answer:

X = -6, y = 8.

Step-by-step explanation:

Rearrange the second equation to the form ax + by = c

x + 2y = 10

2x - y = -20

Multiply equation 1 by -2

-2x - 4y = -20

Adding this to the second equation

-5y = -40

Y = 8.

Now substitute x = 8 into equation 1

X + 2(8) = 10

X = -6.

Answer:

3 4 5 rule applies ie 10÷2 8÷2and 6÷2

Answer:

a) The height of the building is 382 feet.

b) The rock is 382 feet above the ground at its highest point.

c) It takes the rock 3.25 seconds to reach a height of 200 feet.

d) Tt takes the rock 4.76 seconds to hit the ground.

Step-by-step explanation:

The function that models the distance (in feet) between the rock and the ground t seconds after it is thrown is a quadratic function.

As the leading coefficient of the quadratic function is negative, it is a parabola that opens downwards.

The rock is thrown from the top of the building. Therefore, the height of the building is the value of d(t) when t = 0. This is the y-intercept of the graphed function.

Substitute t = 0 into the given function:

\(\begin{aligned}\implies d(0)&=-16(0)^2-4(0)+382\\&=0+0+382\\&=382\; \sf feet \end{aligned}\)

Therefore, the height of the building is 382 feet.

The highest point of the rock is the height of the building, since the rock is thrown down from the top.

Therefore, the rock is 382 feet above the ground at its highest point.

This can be proven by finding the vertex of the graph of the function.

The vertex (maximum point) of the graphed function is (-0.125, 382.25).

As the x-value of the vertex is negative, and time can only be positive, the path of the rock is on a downwards trajectory when t ≥ 0. Therefore, the highest point is the point at which the rock is thrown.

To calculate how long it takes for the rock to reach a height of 200 feet, substitute d(t) = 200 into the given function and solve for t.

\(\begin{aligned}\implies -16t^2-4t+382&=200\\-16t^2-4t+182&=0\\-2(8t^2+2t-91)&=0\\8t^2+2t-91&=0\\8t^2+28t-26t-91&=0\\4t(2t+7)-13(2t+7)&=0\\(4t-13)(2t+7)&=0\\\\\implies 4t-13&=0 \implies t=\dfrac{13}{4}=3.25\; \sf s\\\implies 2t+7&=0 \implies t=-\dfrac{7}{2}=-3.5\; \sf s\end{aligned}\)

As time is positive, t = 3.25 s only.

Therefore, it takes the rock 3.25 seconds to reach a height of 200 feet.

The rock will hit the ground when d(t) = 0.

Therefore, to calculate how long it takes for the rock to hit the ground, substitute d(t) = 0 into the given function:

\(\implies -16t^2-4t+382=0\)

\(x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

Solve for t using the quadratic formula.

\(\implies t=\dfrac{-(-4) \pm \sqrt{(-4)^2-4(-16)(382)}}{2(-16)}\)

\(\implies t=\dfrac{4 \pm \sqrt{24464}}{-32}\)

\(\implies t=-\dfrac{4 \pm \sqrt{16 \cdot 1529}}{32}\)

\(\implies t=-\dfrac{4 \pm \sqrt{16} \sqrt{1529}}{32}\)

\(\implies t=-\dfrac{4 \pm 4\sqrt{1529}}{32}\)

\(\implies t=-\dfrac{1 \pm \sqrt{1529}}{8}\)

\(\implies t=-5.01280...,4.76280...\)

As time is positive, t = 4.76 s only.

Therefore, it takes the rock 4.76 seconds to hit the ground.

The structure has a 382-foot height. The rock's highest peak is 39 1/2 feet high, or 195.5 feet. The time it takes for the rock to touch the ground is roughly 6.289 seconds.

In arithmetic, we use angles and distance to determine an object's height. The distance between the items is measured horizontally, and the height of an object is determined by the angle of the top of the object with respect to the horizontal.

By setting t = 0, we can determine the rock's starting height:

d(0) = -16(0)^2 - 4(0) + 382

= 382

The highest point of the rock occurs at the vertex of the parabolic route, which is determined by the formula t = -b/2a

where a = -16 and b = -4.

t = -(-4) / 2(-16) = 1/8

d(1/8) = -16(1/8)^2 - 4(1/8) + 382

= 391/2

The equation d(t) = -16t^2 - 4t + 382 = 200 for t:

-16t^2 - 4t + 382 = 200

-16t^2 - 4t + 182 = 0

4t^2 + t - 45.5 = 0

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