The table below shows the amount of time a light stays green, red, and yellow (for one cycle) during the day and during the night. Day Night Light is green 2 minutes 3 minutes Light is red 3 minutes 4 minutes Light is yellow 20 seconds 30 seconds Is it more likely for you to have to wait at red light during the day or at night? How much more likely? Show all of your work. WRITER

Answers

Answer 1

The table shows that it is more likely to wait at red during daytime by 2.92%.

How to explain the information given?

Day

Green = 2 min

Red = 3 min

Yellow = 20 sec = 0.333 min

Total day cycle time= 5.33 min

Night

Green = 3 min

Red = 4 min

Yellow = 30 sec = 0.5 min

Total night cycle time= 7.5 min

Pday= 3 min/5.33 min= 0.5625

Pnight= 4 min/7.5 min= 0.5333

Pdifference= 0.02917 = 2.92%

Therefore it is more likely to wait at red during the daytime by 2.92%.

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Related Questions

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9? A. graph A B. graph B C. graph C D. graph D

Answers

Answer:

c is the answer to the question

Work out the perimeter of the shaded shape.
3cm
8cm
5cm
7cm
The diagram is not drawn to scale.

Answers

Answer:

23 because ya

Step-by-step explanation:

uesssssdssssssss

(5)(5)(5)(5)(5)(5) i do not understand what that means or what am i supposed to do

Answers

Answer:

Your supposed to multiply 5*5*5*5*5*5 so the answer is 15,625

help please! will give brainle giving 20 points love !

Answers

Answer:

D. 75%

Step-by-step explanation:

100% - 25% = 75%

Answer:

D. 75%

Step-by-step explanation:

If 25% get into an accident then how many teenagers don't? :

100% - 25% = 75%

Have a great day! :)

An isosceles trapezoid has base lengths of 12 in and 18 in. If the area of the larger shaded triangle is 72 square inches, find the area of the smaller shaded triangle.

Answers

Answer:

32 in²

Step-by-step explanation:

length ratio = [tex]\frac{12}{18}[/tex] = [tex]\frac{2}{3}[/tex]

area ratio = ([tex]\frac{2}{3}[/tex] )² = [tex]\frac{4}{9}[/tex]

smaller area = 72 × [tex]\frac{4}{9}[/tex] = 8 × 4 = 32 in²

The area of the smaller shaded triangle is approximately 31.98 square inches.

The area of a triangle is given by the formula: A = 1/2 * base * height. In an isosceles trapezoid, the two parallel sides are equal in length. In this case, the base lengths of the trapezoid are 12 inches and 18 inches.

To find the area of the larger shaded triangle, we need to determine its base and height.

The base of the larger shaded triangle is the same as the length of the larger base of the trapezoid, which is 18 inches.

Let's denote the height of the larger shaded triangle as h1. Using the formula for the area of a triangle, we have: 72 = 1/2 * 18 * h1 To solve for h1, we can multiply both sides of the equation by 2 and divide by 18: 2 * 72 = h1 h1 = 144 / 18 h1 = 8 inches

So, the height of the larger shaded triangle is 8 inches. Now, let's find the area of the smaller shaded triangle. The base of the smaller shaded triangle is the same as the length of the smaller base of the trapezoid, which is 12 inches. Let's denote the height of the smaller shaded triangle as h2. Using the formula for the area of a triangle, we have: A = 1/2 * base * height A = 1/2 * 12 * h2

We don't know the value of h2, but we do know that the two shaded triangles are similar because they have equal angles. This means that the ratio of the heights of the two triangles is the same as the ratio of their bases. The ratio of the bases of the two triangles is 18/12 = 3/2.

So, the ratio of the heights of the two triangles is also 3/2.

To find the height of the smaller shaded triangle, we can set up a proportion: h2 / 8 = 2/3 Cross-multiplying, we have: 3 * h2 = 8 * 2 3 * h2 = 16 h2 = 16 / 3 h2 = 5.33 (rounded to two decimal places)

So, the height of the smaller shaded triangle is approximately 5.33 inches.

Now, we can find the area of the smaller shaded triangle using the formula: A = 1/2 * base * height A = 1/2 * 12 * 5.33 A = 31.98 square inches (rounded to two decimal places)

Therefore, the area of the smaller shaded triangle is approximately 31.98 square inches.

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A quadrilateral is formed by the points a(1, -1), b(0, 3), c(5, 5), and d(6, 1). plot the points and use the distance formula to find the lengths of all 4 sides. what type of quadrilateral is this?

Answers

The type of quadrilateral is rectangle.

What is distance formula?

The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]

Given coordinates: a(1, -1), b(0, 3), c(5, 5), and d(6, 1).

ab= √(0-1)² + (3+1)²

ab= √17

bc= √(5-0)² + (5-3)²

bc= √29

cd= √(6-5)² + (1-5)²

cd= √17

da=√(6-1)² + (1+1)²

da= √29

ac=√(5-1)² + (5+1)²

ac= √16+36

ac= √52

bd =√(6-0)² + (1-3)²

bd= √36+4

bd= √40

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Answer:

PARALLELOGRAM

Step-by-step explanation:

opposite sides are congruent, but it doesn't have 4 right angles or 4 congruent sides; this means it's a parallelogram (and not a rectangle or rhombus)

Guys please can you help with this question i dont get it at all. 10 x (-8)

Answers

Answer:

80 maybe no ummm udk sorry I might

Step-by-step explanation:

I got you I think

find the value of y when x=3
y=10-3x

Answers

Answer:

y=1

Step-by-step explanation:

In order to solve this problem, you have to substitute 3 in for x. Then you would multiply 3 by 3, which equals 9. Subtract 9 from 10, equals 1.

I included a picture so you can see the work.

Hope this helped!

Answer: y = 1

Step-by-Step Explanation:

y = 10-3x , x = 3

=> y = 10 - 3x
= y = 10 - 3(3)
= y = 10 - 9
=> y = 1

Therefore, y = 1

Suppose the length and the width of the sandbox are doubled.

Answers

The percentage change in perimeter is 100%.

The percentage change in area is 300%

How to find perimeter and area?

The perimeter of the sandbox = 2l + 2w

where

l = lengthw = width

Therefore,

perimeter = 2(10) + 2(6)

perimeter = 20 + 12 = 32 ft

The area of the sand box = lw

area = 10 × 6 = 60 ft²

If the length and width are doubled,

length = 2(10) = 20 ft

width = 2(6) = 12 ft

hence,

perimeter = 2(20) + 2(12) = 40 + 24 = 64 ft

area = 12 × 20 = 240 ft²

Therefore,

percentage change in perimeter = 64 - 32 / 32 × 100 = 100%

percentage change in area = 240 - 60 / 60 × 100 = 18000 / 60 = 300%

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PLEASE PLEASE HELP ILL LIKE AND ITS WORTH 20 POINTS !!

Answers

Answer:

Left one: 27.755 Right one: 3487.5

Step-by-step explanation:

You have to use sin of angle to find the area.

Find the distance between the points with coordinates (0,-2,0), (3,0,-6).​

Answers

Answer:

[tex]C)~ 7~ \text{units}.[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1,z_1) = (0,-2,0)~ \text{and}~ (x_2,y_2,z_2) = (3,0,-6)\\\\\text{Distance,}~ d = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{(3-0)^2 + (0+2)^2 +(-6-0)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{3^2 +2^2 +(-6)^2}\\\\~~~~~~~~~~~~~~~=\sqrt{9+4+36}\\\\~~~~~~~~~~~~~~~=\sqrt{49}\\\\~~~~~~~~~~~~~~~=7~ \text{units}.[/tex]

If the mean annual wage of her career is $35,240.00, what will her lifetime earnings be when she retires at the age of 60?

Answers

Answer:

2,114,400

Step-by-step explanation:

35,250 x 60 = 2,114,400

Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses: : : where is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class. The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028. What can we conclude

Answers

The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

What is a null hypothesis?

A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.

Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed.  Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

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A Clothing shop sold 140 Jackets an d 60 rain coats during the winter sale . Find the ratio of the number of raincoats sold to the Jackets sold.

Answers

Answer:

3:7

Step-by-step explanation:

60 ratio 140

Divide both sides by 10

6 ratio 14

Divide both sides by 2

3 ratio 7

3:7 ✔️

NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4

Answers

Answer:

Range = 1 1/4

Step-by-step explanation:

Range = Maximum - Minimum

Arranging the data in ascending order :

1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4

Solving for range :

Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4
Answer: 1 1/4

Exact Form: 5/4
Decimal: 1.25

Explanation: Range is where you subtract the biggest number and the lowest number.

Biggest Number: 1 3/4
Lowest Number: 1/2

1 3/4 - 1/2 = 1 1/4

NEED ASAP PLS HELP

given: XZ WY, WXZ and YXZ are right triangles. Step 1: cos(W)=WZ/y; ycos(W)=Wz. Which step contains the first error in calculation

Answers

The sine ratio that was applied in step 2 is incorrect, therefore, the first error is in: B. step 2.

How to Apply the Sine Ratio?

The sine ratio that is applied when we want to solve a right triangle is, sin ∅ = opposite length / hypotenuse length.

In step 2, the sine ratio applied is wrong because:

∅ = WOpposite length = XZHypotenuse length = y

Thus, we should have:

sin(W) = XZ/y

The first error is in: B. step 2.

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Annie choose a red shirt at random. what is the likelihood that the shirt's large, given that it's red?

Answers

The likelihood that the shirt is large given that it is red is 14.29%

What is the probability?

Probability determines the likelihood that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The likelihood that the shirt is large given that it is red = number of large red shirts / total number of red shirts

5/35 = 14.29%

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Determine the solution for the following equation: (8x-8) 3/2 = 64
x = 3
x = 5
x = 13
x = 65

Answers

The correct answer is option A which is x = 3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be solved as:-

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] = 64

We can write 64 as [tex]16^{\dfrac{3}{2}}[/tex]

( 8x - 8 )[tex]^\dfrac{3}{2}[/tex] =   [tex]16^{\dfrac{3}{2}}[/tex]

8x - 8 = 16

8x = 24

x = 3

Therefore the correct answer is option A which is x = 3.

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Answer:

A. x=3.

Step-by-step explanation:

Edge 2022.

In a group of friends were to eat 13 candies, there would be 8 candies left. if each friend were to eat 15 candies, all the candies would be gone. how many friends are there?

Answers

Answer:

4

Step-by-step explanation:

from 13 to 15 you added two more so you have to do 8 divided by 2 which is 4

Pls help! I will give brainliest! And pls no links. What is 29 oz to Ib?

Answers

Answer:

1.8125 lb(pounds)

Step-by-step explanation:

there are 16  oz in 1 lb

so 29/16 = 1.8125

How do I solve for y on this?

Answers

(4x-6)° and (x+6y)° are both 90° because they are perpendicular, so:

4x-6= 90

4x= 96

x= 24

x+6y=90

24+6y=90

6y=66

y=11

Simplify as far as possible without a calculator.
3√7(2√2+4√7)

Answers

Answer:

[tex]6 \sqrt{14} + 84[/tex]

Step-by-step explanation:

distribute 3√7 by multiplying to each term In parenthesis

3√7×2√2+3√7×4√7

6√14+12√49

6√14+12(7)

6√14+84

6√14 + 84

or

106.449944321

Step-by-step explanation:

have √7 behave like a variable like x

have √4 behave like a variable like y

3√7(2√2+4√7)

(3√7*2√2)+ (3√7*4√7)

6√14 + (12*7)

6√14 + (84)

6√14 + (6 * 14)

A student claims that tan^2 0+1 = sec^2 0 can be converted to sin^2 0 + cos^2 0 = 1. which sequence of steps supports this claim?

Answers

Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles.

Here,

tan²θ + 1 = sec²θ

sin²θ/cos²θ + 1 = 1/cos²θ

By taking LCM, we get

(sin²θ + cos²θ)/cos²θ = 1/cos²θ

(sin²θ + cos²θ) = cos²θ/cos²θ

(sin²θ + cos²θ) = 1

Thus, Students claim is correct. We can convert tan²θ + 1 = sec²θ to (sin²θ + cos²θ) = 1.

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What is m/D?
118°
B
87°
A
D
23/24-
A
12

Answers

Answer:

[tex]62^\circ[/tex]

Step-by-step explanation:

This is a cyclic quadrilateral (all points of the quadrilateral are on the circle), meaning opposite angles are supplementary (add up to [tex]180^\circ[/tex]).

[tex]\angle D[/tex] is opposite [tex]\angle B[/tex], which is equal to [tex]118^\circ[/tex]. This means [tex]\angle D[/tex] is equal to [tex]180^\circ - 118^\circ[/tex], which is [tex]\boxed{62^\circ}[/tex].

What is the solution to this system of equations?

Answers

Answer:

C

Step-by-step explanation:

C. x=7, y=5

(8 x 10^5) x (8 x 10^5)

Find the product write your answer in scientific notation

Answers

Answer:

6.4 x 10¹¹

Step-by-step explanation:

(8 x 10⁵)(8 x 10⁵) = 6.4 x 10¹¹

Please help with the Area

Answers

The answer for number 4 is 161.7. I got that answer by plugging in the given numbers to each letter. b=7 a=3.3 therefore the equation I solved was 7*7*3.3=161.7

Which of the following best describes the pattern in the diagram shown below? 2 3 O A. As you move from left to right, the number of points in the star decreases by 1. OB. As you move from left to right, the number of points in the star increases by 1. O C. As you move from right to left, the number of points in the star increases by 1. O D. As you move from left to right, the number of points in the star remains the same.​

Answers

It’s 2 because it’s the same as I can get in the car with no gas owowiw

Find the value of x in the given figure.​

Answers

Sum measure of interior angles of traingle is 180° according to this rule ; sum measure of interior angles = (n-2)180 where n is the no. of sides

(3-2)180

=180°

So

[tex]72 + 65 + y= 180 \\ 137 + y= 180 \\ y= 180 - 137 \\ y = 43[/tex]

The sum of an interior and exterior angle equals to 180°

According to this

[tex]y + x = 180 \\ 43 + x = 180 \\ x = 180 - 43 \\ x = 137[/tex]

Hope it helps

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______________ can hold multiple values within a single variable and is defined by having values between square brackets.

Answers

The term that completes the blank and fits the description is an array

How to complete the blank?

From the question, we understand that:

The variable term holds multiple valuesIt uses square bracketsit is defined by a single variable

The term that fits the above highlights is array

Hence, the complete statement is:

array can hold multiple values within a single variable and is defined by having values between square brackets.

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could someone please answer this will give brainliest The midpoint of AB given A (3, -12) and B (-1, -2) is (x, y). What are thevalues of x and y? A square has a perimeter of 36x - 12. Which expression represents one side of thesquare? A car travels 263.0 miles in 5.5 hours. How long will it take to travel 363.0 miles atthis average velocity? (Answer to 1 decimal place) Do you think scientists could use the students' device on a larger scale to effectively clean up oil spills? Explain your answer. Read the sentence. The young soldier had been stationed overseas for two years. When it was time to come home, he decided to surprise his mom. It was a poignant moment when the soldier reunited with his mom.What is the meaning of poignant?touchingrelaxingpitifullonelyGiving brainliest! Which of the following is a characteristic of a scientific theory? aIt explains how nature works. bIt is based on a single experiment. cIt should not be possible to replicate its results. dIt should not be possible to replicate its observations. What are tail-enders? The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.Which of the following statements is true? A. If w 12 inches, then l 10 inches B. If w 12 inches, then l 10 inches C. If w 12 inches, then l 10 inches D. If w 12 inches, then l 10 inches Research and compare 4 different kinds of modern governments pleaseeee help me out does lotus have shiny or dull body surface Colonial support for the ideas outlined in the Declaration of Independence increased during the 18th century? 3 Things to not to do to a wheelchair user at the playground Read the sentence below.I have not gone outside yet today because I have to finish workingfirst.Which of the following parts of the sentence is a subordinate clause?Select one:finish working first.O yet todayO I have not gone outsideO because I have to finish working first. You notice your friend has been skipping meals lately and appears to be losing a lot of weight. How would you respond in this scenario? What are two ways you might help your friend make positive health choices? NO LINKS, NEED TODAY Which of the below sentences is written in active voice?A. The party was thrown by Jay Gatsby.B. The residents of the Valley of Ashes were watched over by the billboard.C. She believed she would never be truly happy. There is a 30% chance that Jerry will have to wait for the bus for more than five minutes to go to office. What is the probability that he does not wait for more than five minutes all 5 days this week? Adriana wants to work in broadcasting, but she sees that it might be hard to find work in that career. Why are there fewer jobs for reporters and broadcasters? A. The number of news outlets has not changed, even though the population has risen. B. There are more news outlets, so there are more people competing for jobs. C. There are fewer news outlets, so there arent as many jobs as there used to be. D. The number of readers and viewers have decreased, so the number of jobs has decreased too. WHAT IS THE RATIO OF CIRCLES TO SQUARES