one of the highest speed limits on motorways, 140km/h, is posted in poland. the mean speed observed on the motorway is 150km/h. (a) what is the percentage of drivers exceeding 150km/h?

Answers

Answer 1

The percentage of drivers exceeding 150 km/h is approximately 30.85%.

To calculate the percentage of drivers exceeding 150 km/h, we first need to find the number of drivers who are exceeding this speed limit.

Let's assume that there are 1000 drivers observed on the motorway. The mean speed observed is 150 km/h, which means that the total distance traveled by all drivers is:

Total distance = Mean speed x Number of drivers

Total distance = 150 km/h x 1000 = 150,000 km

Now, let's assume that all drivers were traveling at the posted speed limit of 140 km/h. The time taken to travel the same distance would be:

Time = Distance / Speed

Time = 150,000 km / 140 km/h = 1071.43 hours

However, since the mean speed observed was 150 km/h, the actual time taken by the drivers was:

Time = Distance / Speed

Time = 150,000 km / 150 km/h = 1000 hours

This means that the drivers saved a total of:

Time saved = Time at posted speed - Actual time taken

Time saved = 1071.43 hours - 1000 hours = 71.43 hours

Since each driver saves the same amount of time, the average time saved per driver is:

Average time saved per driver = Total time saved / Number of drivers

Average time saved per driver = 71.43 hours / 1000 = 0.07143 hours

To convert this to minutes, we multiply by 60:

Average time saved per driver = 0.07143 hours x 60 minutes/hour = 4.286 minutes

This means that on average, each driver saves 4.286 minutes by traveling at a speed of 150 km/h instead of the posted speed limit of 140 km/h.

To calculate the percentage of drivers exceeding 150 km/h, we need to find the number of drivers who saved more than 4.286 minutes. Let's assume that the standard deviation of the speeds is 20 km/h. We can then use the normal distribution to find the number of drivers exceeding 150 km/h by calculating the area under the curve of the distribution from 150 km/h to infinity.

The z-score corresponding to a speed of 150 km/h with a mean speed of 140 km/h and a standard deviation of 20 km/h is:

z = (150 - 140) / 20 = 0.5

Using a z-score table or a calculator, we can find that the area under the curve to the right of z = 0.5 is 0.3085. This means that approximately 30.85% of drivers are traveling faster than 150 km/h.

Therefore, the percentage of drivers exceeding 150 km/h is approximately 30.85%.

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Related Questions

Which of the following will cause a logical error if you are attempting to compare x to 5?
Answers:
a. if (x >= 5)
b. if (x = 5)
c. if (x == 5)
d. if (x <= 5)

Answers

Logical Error: In computer programming language, a logic error is a bug or in a program or code that causes it to operate incorrectly, but not to terminate abnormally (or crash).

A logic error developed unintended or undesired output or other behavior, although it may not immediately be recognized as such.

For example, assigning a value to the wrong variable may cause a many of unexpected program errors.

These errors can be programmer mistakes or sometimes machine less memory to load the code.

if(x>=5) {

// program

}

else if(x==5) {

//program

}

else(x<=5) {

//program

}

they all do not give any error.

x=5 gave an error because it is value assigning to 5.

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Luke is going to a carnival that has games and rides. Each game costs $3.50 and each ride costs $4.50. How much would Luke have to pay if he wanted to play 8 games and go on 10 rides? How much would Luke have to pay if he wanted to play x x games and go on y y rides?

Answers

Answer:

28$ games and 45$ for rides so 73$

Step-by-step explanation:

Answer:

he would pay $73.40 for 8 games and 10 rides

Step-by-step explanation:

multiply 3.50 by 8 since it costs him 3.50 per each ride. when calculated u get 28.40.then when calculated multiply 4.50 by ten since that is how much each ride costs. the total should be 45.00. now add 28.40 to 45.00 to get ur answer

What variable is known as the data that you are collecting?.

Answers

Answer:

Step-by-step explanation:

Quantitative variables

When you collect quantitative data, the numbers you record represent real amounts that can be added, subtracted, divided, etc. There are two types of quantitative variables: discrete and continuous.

PLS HELP ILL GIVE BRAINLIST AND FOLLOW U

PLS HELP ILL GIVE BRAINLIST AND FOLLOW U

Answers

Answer:

61.2

Step-by-step explanation:

base=6

height=10

Area of parellelogram=base x height

=6x 10.2

=61.2 sq.ft

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

the product of two numbers is 1,33,600. If the first number is 25 than what is the second number?

Answers

Answer:

Step-by-step explanation:

It looks much harder than it really is

Let the first number = 25

Let the second number = x

25 * x = 133600            divide both sides by 25

25*x/25 = 133600/25

x = 5344

Make sure the answer really is 133600 because the comma (one) should go before the 6.

Understand Statistical Questions - Instruction - Level F
Tori wants to collect data about her school's movie club.
What is a statistical question Tori can ask about the club?
How many members does the club currently have?
How many times did the club meet last year?
4) How many movies does the club usually watch in a month?
4) How long is the last movie the members watched together?

Answers

A statistical question Tori can ask about her school's movie club is: "How many movies does the club usually watch in a month?". Therefore, option 3 is the correct answer.

A statistical question is any question that can be answered with data. In this case, Tori wants to collect data about her school's movie club. As a result, she can ask statistical questions about the club such as: How many members does the club currently have? How many times did the club meet last year? How many movies does the club usually watch in a month? And How long is the last movie the members watched together? By asking these types of questions and gathering the data that results from them, Tori can better understand the nature and composition of her club.

A statistical question Tori can ask about her school's movie club is: "How many movies does the club usually watch in a month?" This question asks for numerical data about the frequency of the club's viewing habits.

Therefore, option 3 is the correct answer.

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a certain shop repairs both audio and video components. let a denote the event that the next component brought in for repair is an audio component, and let b be the event that the next component is a compact disc player (so the event b is contained in a). suppose that p(a) 5 .6 and p(b) 5 .05. what is p(bua)?

Answers

Answer:

i got new concwpt for my hw

Graph the solution to this inequality on the number line.

−4m+3>11

Graph the solution to this inequality on the number line.4m+3&gt;11

Answers

Move constant

Subtract numbers
-4m>11-3

Evaluate and subtract
-4m>8

Divide by -4

Solution

M<-2

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Graph the solution to this inequality on the number line.4m+3&gt;11

find the volume of the cylinder either enter an exact answer in terms of Pi or use 3.14 for pi​

find the volume of the cylinder either enter an exact answer in terms of Pi or use 3.14 for pi

Answers

\(v = h\pi \: {r}^{2} \)

v = 5×3,14×2power 2

= 62.8

Answer:

V=πr2h=π·22·5≈62.83185

Estimate. Round each factor to its greatest place.

42 475
×0.306

4
8
21
12

Answers

The estimated product of 42,475 and 0.306 is 12,000.

To estimate the product of 42,475 and 0.306, we can round each factor to its greatest place.

42,475 rounds to 40,000 (rounded to the nearest thousand) since the digit in the thousands place is the greatest.

0.306 rounds to 0.3 (rounded to the nearest tenth) since the digit in the tenths place is the greatest.

Now we can multiply the rounded numbers:

40,000 × 0.3 = 12,000

Therefore, the estimated product of 42,475 and 0.306 is 12,000. This estimation provides a rough approximation of the actual product by simplifying the numbers and ignoring the decimal places beyond the tenths. However, it may not be as precise as the actual product obtained by performing the multiplication with the original, unrounded numbers.

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solve. 5/8p-3/4=4
p=95/32
p=26/5
p=38/5
i dont know.​

solve. 5/8p-3/4=4 p=95/32 p=26/5 p=38/5 i dont know.

Answers

The answer is 38/5

I believe

Answer:

38/5

Step-by-step explanation:

From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees.
How far is the ship from the base of the lighthouse?

I know I did it right by the key says its wrong. Please provide steps

Answers

the ship is 472 m from the lighthouse

Step-by-step explanation:

from the question, we can know ∠OAS = 90°-23° =67° and AO = 200m

OS = A0 • tan 67°

= 200 m • 236°

= 472 m

Help me!! Please help me find the answer!!

Help me!! Please help me find the answer!!

Answers

Answer:

x = 42°

Step-by-step explanation:

You can mark the opposite angle from 96° as 96° and the 2 other unknowns as y.

96 • 2 + 2y = 360

168 = 2y

y = 84

x is half of y.

84 ÷ 2 = 42

Answer:

\(x=42^{o}\)

Step-by-step explanation:

Area of a triangle is 180 degrees

Here both the triangles are same so, form an equation:

\(x+x+96=180\)

\(2x+96=180\)

\(2x=180-96\)

\(2x=84\)

\(x=84/2\)

\(x=42^{o}\)

Solve the compound inequality for x and identify the graph of its solution.
x+7 > 3 and x-5≤-1
O A. Solution: x < -4 or x ≥ 4
1 2 3 4 5
OB. Solution: x>-4 and x≤ 4
1
2 3 4 5
OC. Solution: x>-4 and x≤ 4
+
+
-5 -4 -3 -2 -1
1
2
3 4 5
OD. Solution: x²-4 and x < 4
1 2 3 4
5
-5 -4 -3 -2 -1 0
-5 -4 -3 -2 -1 0
0
-5 -4 -3 -2 -1 0

Solve the compound inequality for x and identify the graph of its solution.x+7 &gt; 3 and x-5-1O A. Solution:

Answers

Answer:

x<-4 or x≤4

Step-by-step explanation:

The solution of the inequality is x > -4 and x ≤ 4.

So, the graph B is correct.

Given is an inequality, x+7 > 3 and x-5 ≤ -1, we need to solve and identify the graph,

To solve the compound inequality, let's solve each inequality separately and then find the intersection of the solutions.

Inequality 1: x + 7 > 3

Subtract 7 from both sides:

x > 3 - 7

x > -4

Inequality 2: x - 5 ≤ -1

Add 5 to both sides:

x ≤ -1 + 5

x ≤ 4

Now, we need to find the intersection of the solutions for both inequalities.

Since the conjunction between the two inequalities is "and," we need to find the common solution.

The common solution is the values of x that satisfy both x > -4 and x ≤ 4. From the two inequalities, we can see that the common solution range is from -4 to 4, including -4 but not including 4.

Therefore, the solution to the compound inequality is: -4 < x ≤ 4

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In a certain library the first shelf is 15cm off the ground, and the remaining four shelves are each spaced 38.0cm above the previous one. If the average book has a mass of 1.40kg with a height of 22.0cm, and an average shelf holds 28 books (standing vertically), how much work is required to fill all the shelves assuming the books are all laying flat on the floor to start?

Answers

The total work required to fill all the shelves by multiplying the work done for each shelf by the total number of shelves: Total work = Work per shelf x Number of shelves= 61.6 J x 4 shelves= 246.4 J Therefore, it requires 246.4 joules of work to fill all the shelves.

The library shelf is made up of five shelves. The first shelf is 15 cm off the ground, and the other four shelves are spaced 38 cm apart. The average book has a height of 22 cm and a mass of 1.40 kg.
Each shelf can hold up to 28 books placed vertically, To solve this problem, we need to find the total amount of work required to move all books from the floor to the shelves. We can calculate the work done using the following formula:
Work = Force x Distance Since the books are initially lying flat on the floor, we need to lift them up to each shelf.
Therefore, the force required to lift the books is equal to the weight of all the books, which is given by:Force = mass x gravity where gravity is the acceleration due to gravity and is equal to 9.81 m/s^2.
The mass of each book is 1.40 kg, and the total number of books that can be stored on each shelf is 28 books.
Therefore, the mass of books on each shelf is given by:
mass of books on each shelf = 1.40 kg/book x 28 books= 39.2 kgNow, we can calculate the force required to lift the books on each shelf using:Force = mass x gravity= 39.2 kg x 9.81 m/s^2= 385 N
To find the work required to lift all the books onto each shelf, we need to multiply the force required by the distance lifted.
The distance lifted for each shelf is given by:Distance = shelf height - book height= 38 cm - 22 cm= 16 cm= 0.16 m

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Use the inequality t - 1/3_>25/15 to answer the following questions. A) Solve the inequality for t. B) Plot the solution on the number line. C) Enter the solution in interval notation.

Answers

We are given : t-1/3 ≥ 25/15

take note that 25/15 is the same as 5 /3 ,

(A) So we can rewrite the above inequality as follows:

t - 1/3≥ 5/3

→ t ≥ 5/3 + 1/3

t ≥ 6/3

∴ t ≥ 2

(B) see the number line below :

(c) interval notation : [ 2;∞)

Use the inequality t - 1/3_&gt;25/15 to answer the following questions. A) Solve the inequality for t.

Teresa wants to buy a new cell phone. She wants to get a phone with a good text message plan. She is deciding between Verizon and AT&T. Verizon charges a monthly fee of $25 and $0.05 per text message. AT&T charges a monthly fee of $15 and $0.10 per text message. After how many text messages will the costs be the same? Which company should she choose if she sends 100 text messages per month?

Answers

9514 1404 393

Answer:

200 messagesVerizon

Step-by-step explanation:

The cost of the AT&T plan for m messages is ...

  a(m) = 25 +0.05m

The cost of the Verizon plan for m messages is ...

  v(m) = 15 +0.10m

The two plans have equal costs when ...

  a(m) = v(m)

  25 + 0.05m = 15 + 0.10m

  10 = 0.05m . . . . . . . . . . . . . . subtract 15+0.05 m from both sides

  200 = m . . . . . . . . . multiply both sides by 20

The plans have the same cost for 200 messages.

__

For fewer than 200 messages, the plan with the lower fixed fee is the better choice.

Teresa should choose the Verizon plan.

Teresa wants to buy a new cell phone. She wants to get a phone with a good text message plan. She is

for g(x)=x²-x, find g(x) when x= -8
g(-8)=??
please help i have to finish this by 6 00 and its 5 23​

Answers

Answer:

g(-8)= -8²-8= -64-8= g(-8)=-72

Step-by-step explanation:

HELP ASAP!!!! Giving brainliest to whoever answers first!! No links please. :))

HELP ASAP!!!! Giving brainliest to whoever answers first!! No links please. :))

Answers

Answer:

45 points

Step-by-step explanation:

Average= sun of all numbers/ no. of numbers

33= (23+35+27+48+18+35+x)/7

33= 186+x/7

33×7= 186+ x

231= 186+x

x= 231- 186

x= 45

Answer:

45 points, he scored 45 points in game 7

Step-by-step explanation:

Right now, the average, or mean, is (23 + 35 + 27 + 48 + 18 + 35)/6 = 31

The number plus 23 + 35 + 27 + 48 + 18 + 35 and then divided by 7 should equal 35, that number is 45

(23 + 35 + 27 + 48 + 18 + 35 + 45)/7 = 33 = 231/7 = 33 = 33 = 33

To find the mean, you add all the numbers and then divide it by the amount of numbers there.

estimate the sum of 24,872 + 651 + 971 + 8,499 to the nearest hundred.​

Answers

Answer: 34990

Step-by-step explanation:

Determine whether the given points are on the graph of y=2x+3 .
Select all points that lie on the graph.
(-4,-5)
(-3,-3)
(-1,0)
(-1,-4)

pls hurry I need help I will give brainiest also this question does not require a graph so I didn't send one

Answers

Answer:

(-4,-5) (-3,-3)

Step-by-step explanation:

Determine whether the given points are on the graph of y=2x+3 .Select all points that lie on the graph.(-4,-5)(-3,-3)(-1,0)(-1,-4)pls

\((-4,-5),(-3,-3)\)

Coordinate GraphA coordinate graph is made up of two number lines that are perpendicular to each other. Axes are the names given to these numerical lines. Ordered pairs indicate positions on a coordinate graph. An ordered pair \((x,y)\) is a coordinate graph location.

Given equation is \(y=2x+3\)

Put \((x,y)=(-4,-5)\)

\(-5=2(-4)+3\\-5=-5\)

Put \((x,y)=(-3,-3)\)

\(-3=2(-3)+3\\-3=-3\)

Put \((x,y)=(-1,0)\)

\(0=2(-1)+3\\0\neq 1\)

Put \((x,y)=(-1,-4)\)

\(-4=2(-1)+3\\-4\neq 1\)

So, \(\boldsymbol{(-4,-5),(-3,-3)}\) lie on the graph \(y=2x+3\)

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I need help this is some how Pythagorean theory and i need help!

I need help this is some how Pythagorean theory and i need help!

Answers

Answer:

i think 10 or 5

Step-by-step explanation:

please help giving brainly​

please help giving brainly

Answers

The next three number in the pattern is - 64, +16 and -4

Pattern

A number pattern is an ordered set of numbers or diagrams that follow a particular rule.

Let's find the rule in the pattern as follows:

The first term is + 4096. This is same as 2¹².

The second term is - 1024. This is same as 2¹⁰. Note the sign changed.

The third term is +256. This is same as 2⁸. The sign change also.

From the pattern we notice the exponential reduced by 2 and sign changes.

Therefore, the next three terms in the pattern are as follows;

2⁶ ; - 642⁴ ; + 162² ; - 4

The full pattern is as follows:

+ 4096,  - 1024, +256, - 64, +16, -4

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(PLEASE SOLVE ASAP EXPLAIN ALSO)

(PLEASE SOLVE ASAP EXPLAIN ALSO)

Answers

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, \(\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}\)

Please help with this trig question!

Please help with this trig question!

Answers

Answer:

10(theta) = 12

theta = 1.2 radians = about 68.8°

phi = .6 radians = about 34.4°

A certain student watches television for an average of 38 minutes per night. Based on Marshall's model equation, how many minutes will that student spend exercising?

Answers

Question:

Marshall models the data with the equation y = −1.5x + 121, where x represents the number of minutes spent watching television and y represents the number of minutes spent exercising.

A certain student watches television for an average of 38 minutes per night. Based on Marshall's model equation, how many minutes will that student spend exercising?

 Answer:

The student will exercise for 64 minutes

Step-by-step explanation:

Given

\(y = -1.5x + 121\)

x = minutes of TV

y = minutes on exercising

Required

Find y when x = 38

\(y = -1.5x + 121\)

Substitute 38 for x

\(y = -1.5 * 38 + 121\)

\(y = -57 + 121\)

\(y = 64\)

How do I do this I have gotten the first part which is B but it keeps saying it’s wrong when I put into calculator

How do I do this I have gotten the first part which is B but it keeps saying its wrong when I put into

Answers

Answer:

a. B is the correct equation

b. u = 5.8 sin(64°) = 5.2

You are jumping off the 12-foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water. Your height (h) in feet above the water in terms of (t) seconds is given by h = -16t^2 + 6t + 12. What is the first step in determining the maximum height that you reach during your dive?

Answers

Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

\(h(t)=-16t^2+6t+12\)    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

\(\frac{dh(t)}{dt}=-32t+6\)

Next, you equal the result of the derivative to zero and you obtain t:

\(-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}\)

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

\(h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12\)

\(h(t)=12.56\)

hence, the maximum height is 12.56 units


3. Is the relation {(1,2), (3, 10), (2,8), (5,
10)} a function?
a) yes
b) no
a

Answers

Answer:

the answer is yes

Step-by-step explanation:

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What type of government system does the U.S. have? If cos O=-4/7, what are the values of sin O and tan O? Malcolm should have explained how each person could benefit from completing his or her part of the project, which would be using what influence tactic?. whats two plus two??????????? Treason is a federal crime that can _____.only be committed by a foreign citizenonly be committed by citizens living in the United Statesbe committed in a time of peace or a time of waronly be committed during wartime which nursing action is appropriate when feeding gastric residual is 50 ml? select one: a. discard the stomach contents as a liquid biohazard. b. return it to the stomach via the feeding tube. c. return half of the volume to the stomach, and discard the rest. d. dispose of the residual contents down the commode Find the area of the rhombus.14 m7 mThe area of the rhombus ism? plz anser will give branlist Why was Germany divided after World War 2? during an experiment, jon exhales through a straw and blows bubbles into a solution. which observation would most likely indicate that a chemical reaction is occurring? what is 8(x+12) + 10(x+25) circle the terms in the expression 6 + x + 3x + 5x2 What is mass number definition in chemistry? Enter the equivalent expression of (92j 82k) (3.9j 42.1k) in standard form. You have decided to save money for your sons college tuition. You will put away $1,171.00 every six months for the next 14.00 years. If the account will pay 7.00% APR with semi-annual compounding, what is the future value of this investment? (treat as regular annuity) Is this correct I do not really understand what endothermic and exothermic are. Revenues earned from consistent ongoing payments rendered to the company for either the delivery of the value proposition or after sales care for the customer are called: what is the price of an investment that pays you $1000 per month with the first payment in 1 month and the last payment in 6 months if the expected return for the investment is 2.0% per month?( round the value to 0th decimal to get a whole number ) solve the simultaneous linear equations by using the elimination methoda - b = -33a - 4b = -5 Look at the map, and think of the challenges the United States faced fighting a war on so many fronts. Write down a question you have about those challenges, and then write down a possible answer.