A stoplight has the following cycle: green for 25 seconds, yellow for 4 seconds, and red for 2 minutes. What is the probability that the light will be green when you arrive to the nearest hundredth?

Answers

Answer 1

Answer:

Approximately = 0.17

Step-by-step explanation:

Answer 2

Answer:

[tex]\frac{25}{25+4+120 }[/tex]

[tex]\frac{25}{149 }[/tex]

.17 = 17%

 

Step-by-step explanation:


Related Questions

Draw a plane, showing the three (non-linear) points that define it.​

Answers

Draw a plane, showing the three (non-linear) points that define it.[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

(2x-3)(x-4)(3x-1)
How do u get the 35x2 and 47x?

Answers

Answer:

70 x 47x = 3290

.

. . . . . . . . . . ........

Answer: 6x^3-35x^2+47x-12

Step-by-step explanation:

(2x-3)(x-4)(3x-1)

=(2x^2-11x+12)(3x-1)

=6x^3-35x^2+47x-12

4(10x-4). PLEASE HELP

Answers

Answer:

40x - 16

Step-by-step explanation:

4(10x - 4)

Multiply 4 by 10x

Answer: 40x

Multiply 4 by -4

Answer: -16

Combine them together

40x - 16

guys, please help i can't move on

Answers

Answer:

15

Step-by-step explanation:

32-19 = 13 that have both

70-57= 13 that have both again from that sample

total number of people that have both : 13 + 13 = 26

11 kids don't have either one, so :

26-11 = 15

x/6=7
what is the value of x

Answers

Answer:

x = 6 x 7 = 42

Step-by-step explanation:

hope this helps

Answer:

[tex] \frac{x}{6} = 7 \\ x = 6 \times 7 \\ x = 42[/tex]

Please help me with this question! And please provide answer in inequalities form! Thanks so much!

Answers

Answer:

Step-by-step explanation:

For this, we kind of have to test points to solve it. First, we can test theh interval x<= -2. Plug in  -2 and we get a negative value which works. Next, let's try -2<x<0. Plug in -1 and get a positive value which doesn't work.

Next try 0<=x<=7. Plug in any number like 4 and get a negative value which works.

Finally, try x>7. Plug in 8 for example and you would get a positive value. So the solution is

x <= -2 OR 0 <= x <= 7

What is 20% of 10% of 1000

Answers

Answer:

20% of 10% of 1000 = 20

Step-by-step explanation:

Now we have to,

→ find the 20% of 10% of 1000.

Let's find 10% of 1000,

→ (10/100) × 1000

→ 0.1 × 1000

→ 100

Then 20% of 10% of 1000 is,

→ (20/100) × 100

→ 0.2 × 100

→ 20

Hence, the answer is 20.

A train leaves zurich at 2240 and arrives in vienna at 07 32 the next day workout out the time the train takes

Answers

Answer:

Total time taken by train = 8 hour 32 minutes

Step-by-step explanation:

Given:

Time train leave Zurich = 22:40 min

Time train arrives in Vienna = 07:32

Find:

Total time taken by train

Computation:

Total time taken by train = [23:60 - 22:40] + 7:32

Total time taken by train = 1:20 + 7:32

Total time taken by train = 8:52

Total time taken by train = 8 hour 32 minutes


Suppose f(x) = 6x2 + 2x - 7 and g(x) = 4x - 3. Find each of the following functions.

a.(f+g)(x)
b. (f-9)(x)

Answers

Hello,

Step-by-step explanation:

[tex]f(x)=6x^2+2x-7\\g(x)=4x-3\\(f+g)(x)=f(x)+g(x)=6x^2+2x-7+4x-3=6x^2+6x-10\\\\(f-g)(x)=f(x)-g(x)=6x^2+2x-7-(4x-3)=6x^2-2x-4\\[/tex]

f(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?

Answers

Answer:

Answer A: g(x) = (x + 4)² - 3(x + 4) - 2

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units left

f(x - n) - shift the graph n units right

f(x) = x² - 3x - 2.

shift 4 units left, f(x + 4) = (x + 4)² - 3(x + 4) - 2

Answer A: g(x) = (x + 4)² - 3(x + 4) - 2


[tex]52 - 6 \times 1 + 75 \times 3 \div 2[/tex]
....................................................
ASAP!!!
THANKS ........​

Answers

Answer:

158.5

Step-by-step explanation:

= 52 - 6 × 1 + 75 × 3 / 2

= 52 - 6 + 75 × 3 ÷ 2

= 52 - 6 + 112.5

= 46 + 112.5

= 158.5

Answer:

The solution is 158,5

Step-by-step explanation:

52-6×1+75×3÷2

= 52-6+75×3÷2

= 46+225÷2

= 46+112,5

= 46+112,5

= 158,5

How would you describe the difference between the graphs of f(x) = x^2 +4 and
g(y) - y^2 +4?

Answers

Answer:

Step-by-step explanation:

The function [tex]f(x)=x^2+4[/tex] is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function [tex]g(y)=y^2+4[/tex] is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.

What is 4 5/8 x 9 8/9???

Answers

Answer:

3293/72

Step-by-step explanation:

change to improper fraction to times.

3uq. when u = 2 and q=6

Answers

Answer:

[tex]3uq \\ 3 \times 2 \times 6 \\ = 36[/tex]

Answer:

[tex]36[/tex]

Step-by-step explanation:

[tex]3uq \\ = 3(2)(6) \\ = 36[/tex]

Hope it is helpful....

An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a shadow as shown. How long is the shadow you cast given the triangles shown are similar?

A. 3.83

B. 8.63

C. 11

Answers

Answer:

Option (A)

Step-by-step explanation:

From the picture attached,

ΔABC and ΔDEF are the similar triangles.

Therefore, by the property of similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]

[tex]\frac{5.75}{18}=\frac{BC}{12}[/tex]

BC = [tex]\frac{12\times 5.75}{18}[/tex]

BC = 3.83 ft

Option (A) will be the correct option.

In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?

Show your work.​

Answers

Answer:

190%

Step-by-step explanation:

$1.56 is close to nearly 2x the value of $0.87

You can start by multiplying $0.87 by 2 to get $1.74

Now put $1.56 / $1.74

This gets you 0.89655172

By rounding this, you can get to 0.90

Move the decimal places two spots over to get a percentage = 90%

Since the eggs didn't decrease in value, you can add the 100% from the beginning of the problem.

100+90=190%

The travel distance from Atimonan, Quezon to Marikina City is about 177.0 Kilometers. In 5 hours and 53 minutes. How many kilometers did it drive in an hour.

Answers

Answer:

It drove 30.08 kilometers in an hour.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In this question:

177 kilometers in 5*60 + 53 = 353 minutes.

How many kilometers in 1 hour = 60 minutes?

177 km - 353 min

x km - 60 min

[tex]353x = 60*177[/tex]

[tex]x = \frac{60*177}{353}[/tex]

[tex]x = 30.08[/tex]

It drove 30.08 kilometers in an hour.

An apple cost $6 and a peach costs $3.Mr Joe paid $60 in all for 12 fruits. How many of apples did he buy?​

Answers

Answer:

8 apples

Step-by-step explanation:

costof 8 apples=48

cost of 4 peaches=12

please help with this problem!

Answers

Answer:

Second option

Step-by-step explanation:

Let's assume that x is 1 and y is 3

a) [tex]\frac{1}{2}[/tex] < [tex]\frac{3}{2}[/tex] = true

b) -1 < -3 = false

c) 1+2 < 3+2 = true

d) 2 x 1 < 2 x 3 = true

Question 8 of 49
Which definition best describes skew lines?
O A. Lines that intersect at a right angle
O B. Lines that intersect
O C. Lines that do not intersect and are not in the same plane
O D. Lines that do not intersect and are in the same plane

Answers

Ddddddddddddddddddddddddddddddddddddd

Which is the correct form of the partial fraction decomposition for the expression StartFraction 4 x cubed + 3 x squared Over (x + 1) squared (x squared + 7) squared EndFraction?

Answers

Given:

The expression is:

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]

To find:

The correct form of the partial fraction decomposition for the given expression.

Solution:

We have,

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}[/tex]

By partial fraction decomposition, it can be written as:

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{A}{x+1}+\dfrac{B}{(x+1)^2}+\dfrac{Cx+D}{x^2+7}[/tex]           ...(i)

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B}{(x+1)^2(x^2+7)}[/tex]

[tex]4x^3+3x^2=(x+1)^2(Cx+D)+(x+1)(x^2+7)A+(x^2+7)B[/tex]

[tex]4x^3+3x^2=x^3A+x^3C+x^2A+x^2B+2x^2C+x^2D+7xA+xC+2xD+7A+7B+D[/tex]

[tex]4x^3+3x^2=x^3(A+C)+x^2(A+B+2C+D)+x(7A+C+2D)+7A+7B+D[/tex]

On comparing both sides, we get

[tex]A+C=4[/tex]

[tex]A+B+2C+D=3[/tex]

[tex]7A+C+2D=0[/tex]

[tex]7A+7B+D=0[/tex]

On solving these equations, we get

[tex]A=\dfrac{23}{32},B=-\dfrac{1}{8},C=\dfrac{105}{32},D=-\dfrac{133}{32}[/tex]

Substituting these values in (i), we get

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]

Therefore, the required partial fraction decomposition is:

[tex]\dfrac{4x^3+3x^2}{(x+1)^2(x^2+7)}=\dfrac{\dfrac{23}{32}}{x+1}+\dfrac{-\dfrac{1}{8}}{(x+1)^2}+\dfrac{\dfrac{105}{32}x-\dfrac{133}{32}}{x^2+7}[/tex]

Answer:

A on Edg

Step-by-step explanation:

got it right

On an electricity bill of $40.80, Mrs.
Miller pays only $38.76 because she pays
before a certain date. What percent
discount is Mrs. Miller allowed?

Answers

Answer:

100%_$40.80

? × _$38.76

Step-by-step explanation:

100%×$38.76÷$40.80=95%

Answer:

40.80

Step-by-step explanation:

HELPPP ME OUTTTTTT!!!!!!!

Answers

Answer:

3/5

Step-by-step explanation:

cos A = adjacent side / hypotenuse in a right triangle

cos A = 24/40

Cos A = 6/10

cos A = 3/5

(1 / 7 - 4√3)^3 + (1 / 7 + 4√3)^3

Answers

Given:

The expression is:

[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]

To find:

The simplified form of the given expression.

Solution:

Formulae used:

[tex](a-b)^3=a^3-3a^2b+3ab^2-b^3[/tex]

[tex](a-b)^3=a^3+3a^2b+3ab^2+b^3[/tex]

Adding this formulae, we get

[tex](a-b)^3+(a+b)^3=2a^3+6ab^2[/tex]            ...(i)

We have,

[tex]\left(\dfrac{1}{7}-4\sqrt{3}\right)^3+\left(\dfrac{1}{7}+4\sqrt{3}\right)^3 [/tex]

Using formula (i), the given expression can be written as:

[tex]=2\left(\dfrac{1}{7}\right)^3+6\left(\dfrac{1}{7}\right)\left(4\sqrt{3}\right)^2[/tex]

[tex]=2\times \dfrac{1}{343}+6\left(\dfrac{1}{7}\right)48[/tex]

[tex]=\dfrac{2}{343}+\dfrac{288}{7}[/tex]

[tex]=\dfrac{2+14112}{343}[/tex]

[tex]=\dfrac{14114}{343}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{14114}{343}[/tex].

SOMEONE HELP ME PLEASE

Answers

Answer:

9/10 or 90 %

Step-by-step explanation:

There are 54+27+5+4 total people = 90

The people with diploma is 54+27 = 81

P (diploma) = number with diploma / total

                  = 81/90

                  =9/10

                   90%

What is the 8th term of the binomial expansion (x + y) ^10?
Select the correct answer.
A. 120x^7y^3
B. 720x^7y^3
C. 720x^3y^7
D. 120 x^3y^7

Answers

Answer:

It is Option D. 120 x^3 y^7

Option D is correct i.e. the eighth term of the given expansion is [tex]120x^{3} y^{7}[/tex].

What is binomial theorem?

The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.

Binomial expression

A binomial expression is an algebraic expression that contains two dissimilar terms .

Formula for finding the general term in binomial expansion

[tex]T_{r+1} =nC_{r} x^{n-r} y^{r}[/tex]

According to the given question

We have,

The binomial expansion [tex](x+y)^{10}[/tex]

Therefore,

The eighth term of the given binomial expansion is given by

[tex]T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}[/tex]

[tex]T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}[/tex]

[tex]T_{8} = 120x^{3} y^{7}[/tex]

Hence, option D is correct. i.e. the eighth term of the given expansion is [tex]120x^{3}y^{7}[/tex].

Learn more about the binomial expansion here:

https://brainly.com/question/12249986

#SPJ2

Kevin and Amy are working on an experiment in the
science lab. They start with 2.6 grams of oil and add water
to get exactly 4.32 grams of solution. To find the amount
of water added, they subtract the weight of the oil from the
weight of the solution. Kevin calculates the difference to
be 4.06 grams; Amy calculates it to be 1.72 grams.

Answers

Answer:

Amy is right

Step-by-step explanation:

4.32-2.6 = 1.72

Answer:

Amy is correct

Step-by-step explanation:

4.32-2.6 = 1.72

Which numbers are integers? Check all that apply.
04
-15
-10
2.5
0-4
0.13
ILL GIVE BRAINLIEST

Answers

Answer:
04
-15
-10
Integers cant be fractions, decimal amounts, or expressions
04,-15,-10 -4
Reason: integers cannot be mixed numbers/decimals

What is the equation of the line that passes through (4, -1) and (-2, 3)?

2 x + 3 y - 5 = 0
-2 x + 3 y - 5 = 0
2 x - 3 y - 5 = 0

Answers

Answer:

2x + 3y - 5 = 0

Step-by-step explanation:

(4 , -1)  & (-2,3)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\=\frac{3-[-1]}{-2-4}\\\\=\frac{3+1}{-6}\\\\=\frac{4}{-6}\\\\=\frac{-2}{3}[/tex]

m = -2/3;   (4 , -1)

y - y1 = m(x - x1)

[tex]y - [-1]= \frac{-2}{3}(x-4)\\\\y + 1 =\frac{-2}{3}x -4*\frac{-2}{3}\\\\y + 1 =\frac{-2}{3}x+\frac{8}{3}[/tex]

Multiply the equation by 3

3y + 3 = -2x + 8

3y = -2x + 8 - 3

3y = -2x + 5

2x + 3y - 5 = 0

Please help me with question a), b) and c). I have been trying for so long. (Show working), thank you.

Answers

Answer:

b)48 km/hr (12 km in .25 hrs)

c) avg speed: 60/3 = 20 km/hr

Step-by-step explanation:

a)

.5  18

.75 18

1      30

1.5   30

2     40

2.25  40

3        60

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