Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP

Answers

Answer 1

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

Step-by-step explanation:

Answer 2

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

Step-by-step explanation:


Related Questions

There are five blue jelly beans, two red jellybeans, one orange jellybean and 2 pink jellybeans in a bag. Once a Jellybean is drawn, it’s not replaced. Find the probability of selecting a blue jellybean and then a pink jellybean.


A) 1/10

B) 1/9

C) 1/100

D) 1/125

Thank you! Have a great day! :D

Answers

Answer:

1/9

Step-by-step explanation:

Probability = Expected outcome/Total outcome

Since we have five blue jelly beans, two red jellybeans, one orange jellybean and 2 pink jellybeans in a bag

Total outcome = 5 + 2 + 1 + 2

Total outcome = 10

Probability of selecting a blue = 5/10 = 1/2

Since it is not replaced, the total ball remaining will be 9

If pink jellybean is picked after, the probability of picking a pink will be 2/9

Hence probability of selecting a blue jellybean and then a pink jellybean = 1/2 * 2/9 = 1/9

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

20

Step-by-step explanation:

10 + 8 + 2 = 20

Answer:

20 calls before 6 pm

10 + 2 +8 = 20

Step-by-step explanation:

Simplify x2 + 10x + 9 over 2(x + 9) − (x + 9)

Answers

Answer:

x+1

Step-by-step explanation:

First factor x² + 10x + 9 using the AC method.

(x +1) (x + 9)

then simplfy the denominater.

x + 9

finally cancel the factor of x + 9 from top and bottom.

the answers is x + 1.

hope this helps :)

Write an irrational number that can be added to the irrational number √28 to get a rational sum of 8.

Answers

Answer: 2.82

Step-by-step explanation:

9. Jenn went to the farmer's market with $40.00. She bought a 10 lb bag of potatoes for $6.00, a pie for $8.00, 4 qt fresh blueberries for $4.00 per qt, and 5 lb of apples at $1.49 per lb. What
percent of the $40.00 did she still have when she left?
93.625%
6.375%
25%
.0595%

Answers

Answer:  the answer is 6.375% because I just took the test

Step-by-step explanation:

6/8 ÷ 2/3 pleas help me​

Answers

Answer:

[tex] \frac{6}{8} \div \frac{2}{3} [/tex]

Simplify,

[tex] \frac{6}{8} = \frac{3}{4} [/tex]

So now,

[tex] \frac{3}{4} \div \frac{2}{3} \\ = \frac{3}{4} \times \frac{3}{2} \\ = \frac{3 \times 3}{4 \times 2} \\ = \frac{9}{8} \\ = 1.125[/tex]

Lily deposited 1,000 in her savings account that earns her 3% compounded annually. She forgot about it until 15 years later when she came across an old bank statement

Answers

1450 is what would be in her bank account after 15 years

What is the approximate length of the missing side of a
right triangle with hypotenuse of 16 cm and other side of
15 cm?

Answers

Answer:

The approximate length of the missing side is of 5.57 cm.

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:

[tex]a^2 + b^2 = c^2[/tex]

In this question:

[tex]a = 15, c = 16[/tex]

We want to find b. Then

[tex]a^2 + b^2 = c^2[/tex]

[tex]15^2 + b^2 = 16^2[/tex]

[tex]b^2 = 256 - 225[/tex]

[tex]b^2 = 31[/tex]

[tex]b = \sqrt{31}[/tex]

[tex]b = 5.57[/tex]

The approximate length of the missing side is of 5.57 cm.

please help on number 2 the table represents a linear relation use the table to identify the y-intercept please help i have an f and a couple zeros plz will give brainly

Answers

Answer:

y = 7x + 4

Step-by-step explanation:

From the table given in the picture attached,

Let the linear equation representing the table is,  

y = mx + b

Here, m = Slope of the equation

b = Y-intercept

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (20, 144) and (24, 172) will be,

m = [tex]\frac{172-144}{24-20}[/tex]

m = [tex]\frac{28}{4}[/tex]

m = 7

By substituting the value of m in the equation,

y = 7x + b

Since, this line passes through a point (20, 144),

By substituting the values of x = 20 and y = 144 in the equation,

144 = 7(20) + b

b = 144 - 140

b = 4

Therefore, equation of the line will be,

y = 7x + 4

Find the equation of this line.
[ ?
ку
x +

Answers

9514 1404 393

Answer:

  y = 3/4x + 2

Step-by-step explanation:

If we take the given points to be (0, 2) and (4, 5), then the slope is ...

  m = (y2 -y1)/(x2 -x1) = (5 -2)/(4 -0) = 3/4

The y-intercept is given by the point (0, 2). So, the equation is ...

  y = mx + b . . . . . . line of slope m with y-intercept b

  y = 3/4x + 2

iif the pattern in the graph below continues, which of the following ordered pairs will lie on the line?

Select all that apply.

A. (14, 100)

B. (15, 100)

C. (16, 100)

D. (16, 120)

E. (18, 120)

Answers

Answer:

Step-by-step explanation:

B and E because the x axis always goes up by 3 and the y axis always goes up by 20

Answer:

     

Step-by-step explanation:      

3
1 point
Add (8x2 - 8x + 12) + (4x2 - 12x + 14).
]

Answers

Answer:

12x2-20x+26

Step-by-step explanation:

Like terms!

8x2+4x2

12x2

-8x-12x

-20x

12+14

26

The energy released by respiration originally came from the
sun.
True
Or
False

PLEASE HELP MEEEE!!!!

Answers

Answer:

false i think sorry if it is wrong

Step-by-step explanation:

Answer:

Its false

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! <3 AND PLS EXPLAIN WHY U THINK THATS THE ANSWERRR

Answers

Answer:

If it's the area than A = πr²= 3.14 * 16 = 50.2ft²

Using the graphing function on your calculator, what is the solution to the
system of equations show below?
y + 2x = 14
2y - x = 3
A. No solution
B. More than 1 solution
c. x = 4, y = 5
D. x = 5, y = 4
NEED HELP ASAP TYY

Answers

Answer:

D

Step-by-step explanation:

first we got y + 2x equals 14. If put 5 for X and 4 for Y it'll be 4 plus 2 times 5 which equals also 14. then 2*4-5=3

Maria and her friends eat pizza for lunch.
There are 6 pizzas with 10 slices each. If
Maria and her 15 friends eat 3 slices each,
how many slices are left over?

Answers

Answer:

15 slices

Step-by-step explanation:

The total number of slices is equal to 60 (6x10=60) and if each friend eats 3 slices, they will all collectively eat 45 slices (15x3). If they eat 45 out 60 slices they will have 15 slices left over (60-45=15).

Which algebraic expression represents this mathematical statement?
the product of 7 and a number

Answers

Answer:

C. 7 * n

Step-by-step explanation:

Answer: C. 7 • n

Explanation:
product is the result of multiplication.

Which decimal is least a 2.22 ,b 2.02 ,c 2.002 ,d 2.2​

Answers

Answer:

2.002

Step-by-step explanation:

It is only 2 one thousandths.

Answer:

im pretty sure its c

Step-by-step explanation:

Suppose that the relation H is defined as follows.
H={(-8, -1), (5, 6), (6, -1)}
Give the domain and range of H.
Write your answers using set notation.
domain =
range =

Answers

Domain are x
Range are the y
So domain are -8,5,6
So range are -1,6,-1

ANSWER QUICK
Jordan went shopping for a new video game. The listed price of the video,
$36, but the price with tax came to $39.60. Find the percent sales tax.

Answers

Answer:

10%

Step-by-step explanation:

10% of 36 is 3.6   If you add 3.6 to 36 you get 39.6      hope you did good

In GHI the measure of

Answers

Answer:

GHI is the measure of tracking hunger at global, regional, and national levels.

A triangle has side lengths of 3 inches and 6 inches. What is a possible whole number length of the third side? inches

Answers

Answer:

6 inches

Step-by-step explanation:

if it is just a regular triangle then it would be 6 inches

What is the area of a Rectangle that 7 3/8 units long and 6 4/6 units wide?

Answers

Answer:

49 1/6

Step-by-step explanation:

Mark meh brainliest pls.

Use the value of the linear correlation coefficient r to find the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.234 (Your answer should be a percent rounded to two decimal places as needed.)

Answers

Answer:

5.47% of the total variation between the two variables can be explained by the regression line.

Step-by-step explanation:

Given :

R value = 0.234

The R value is the correlation Coefficient ; which gives the type and level of correlation between two variables.

However, to Obtian the percentage variation which can be explained by by the regression line, we have to obtain the Coefficient of determination, R².

R² value is Obtained by taking the squared of the correlation Coefficient

Hence,

R² = 0.234² = 0.054756

R² = 0.05476 * 100% = 5.4756%

Hence, R² = 5.48%

This is interpreted as ; 5.47% of the total variation between the two variables can be explained by the regression line.

Example 5:
Mrs. Williams writes the following number on the board.
276,954
She instructs her students to write a number where the value of the 6 in their number is 10
times greater than the value of the 6 in the number on the board. Duwan writes the number
286,123. Is his answer correct? Explain how you know.

Answers

Answer:

No Duwan is in incorrect.

Step-by-step explanation:

When it asks for a number to be 10x greater, the answer would be in a digit that is 1 greater. For example 10x greater than 10 would be 100. You move the digit up once. An answer that Duwan could have used is: 260,000.

Drag the numbers shown to their
approximate locations on the
number line

Answers

Answer:

Step-by-step explanation:

help
and i give points

Answers

Answer:

A

Step-by-step explanation:

7 more = (+ 7)

2 times m = (2m)

2m + 7

You want to visit your friend, John, at his house. You leave your house and walk down Oak Street which is at an angle 45◦ from Elm Street which is the street in front of your house. After walking 6 blocks, you arrive at John’s house. How far is Oak Street from Elm Street? Round to the nearest tenth of a block.
Use SOH CAH TOA to find d.

Answers

Answer:

4.2 blocks

Step-by-step explanation:

Reference angle (θ) = 45°

Opposite side to θ = d

Hypotenuse = 6

Using SOHCAHTOA, we would apply SOH since the Hypotenuse and Opposite side is what we are concerned with.

Thus:

Sin θ = Opp/Hyp

Substitute

Sin 45° = d/6

Multiply both sides by 6

6 × Sin 45 = d

d = 4.24264069

d = 4.2 (nearest tenth)

Therefore, the distance of Oak Street from Elm Street = 4.2 blocks

Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a. financing
b. a budget
C. investments
d. savings

The answer is D SAVINGS

Answers

Answer:

D saving

Step-by-step explanation:

It’s due before 12:00
I’ll give you a brain list

Answers

Answer and Step-by-step explanation:

To get the x values, we can plug in the y values and solve for x.

1 = 0.5x + 2

Subtract 2 from both sides.

-1 = 0.5x

Divide both sides by 0.5.

-2 = x

2 = 0.5x + 2

Subtract 2 from both sides.

0 = 0.5x

Divide both sides by 0.5.

0 = x

3 = 0.5x + 2

Subtract 2 from both sides.

1 = 0.5x

Divide both sides by 0.5.

2 = x

Those are the answers.

#teamtrees #PAW (Plant And Water)

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