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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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)
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 $4.50. How much would Luke have to pay if he wanted to play 8 games and go on 10 rides? How much would Luke have to pay if he wanted to play x x games and go on y y rides?
Answer:
28$ 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?.
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
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?
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?
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)?
Answer:
i got new concwpt for my hw
Graph the solution to this inequality on the number line.
−4m+3>11
Answer: The person above me is correct. Here is a picture if you still dont get it..
Step-by-step explanation:
find the volume of the cylinder either enter an exact answer in terms of Pi or use 3.14 for pi
\(v = h\pi \: {r}^{2} \)
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
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.
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
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!!
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
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?
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.
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;∞)
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?
9514 1404 393
Answer:
200 messagesVerizonStep-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.
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
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. :))
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.
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
Answer:
(-4,-5) (-3,-3)
Step-by-step explanation:
\((-4,-5),(-3,-3)\)
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!
Answer:
i think 10 or 5
Step-by-step explanation:
please help giving brainly
The next three number in the pattern is - 64, +16 and -4
PatternA 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 ; - 4The full pattern is as follows:
+ 4096, - 1024, +256, - 64, +16, -4
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(PLEASE SOLVE ASAP EXPLAIN ALSO)
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
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!
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?
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
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?
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
Answer:
the answer is yes
Step-by-step explanation: