Consider the traffic light at the intersection of Sth Avenue and Meyran Avenue The probability of getting a green light on your way home at a given time you always leave at the same time) is 0.35 and that of yellow light is 0.04 (a) (1 point) What is the probability of getting either a green or a yellow light on a randomly chosen day? a (b) (Iphint) What is the probability of not getting a green light? (e) (l point) What is the probability of nding a red light on both Monday and Tuesday? (d) (1 point) What is the probability that you don't encounter red light until Wednesday starting Monday? (e) ( point) What is the probability of getting a green light on Wednesday given you had a red light on Tuesday?

The measure of the angle x will be 57°.

The angle of an arc in a circle is defined as the angle subtended by the arc at the centre of the circle. The angle of the arc is measured in degrees or radians.

There is a theorem related to the angle of an arc in a circle called the central angle theorem. This theorem states that the angle subtended by an arc at the centre of a circle is equal to double the angle subtended by the same arc at any point on the circumference of the circle.

The measure of the angle x is,

x = ( 360 - 123 - 123 ) / 2

x = 57°

Hence, the value of an angle x is 57°.

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Answer:

x = 0.2

Step-by-step explanation:

-7.8x = -1.56

-1.56/-7.8 = 0.2

x = 0.2

Answer:

\(x =\frac{1}{5}\) or \(0.2\) (they're the same)

Step-by-step explanation:

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

z= 2√2

x=2

y=2√2

Answer:

No solutions.

Step-by-step explanation:

22 does not equal 81, so therefore no solutions.

The cost of each nachos is $2.50 and the cost of each water bottle is $1.50.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let x be the cost of each water bottle and y be the cost of each nachos.

Two bottled water and an order of cheese nachos costs $5.50.

So, 2x+y=5.50 -------(I)

Three bottled water and two orders of cheese nachos costs $9.50​

3x+2y=9.50 -------(II)

Multiply equation (I) by 2, we get

4x+2y=11 -------(III)

Subtract equation (II) from equation (III), we get

4x+2y-(3x+2y)=11-9.50

x=$1.50

Substitute x=1.50 in equation (I), we get

2(1.50)+y=5.50

y=$2.50

Therefore, the cost of each nachos is $2.50.

Answer:

P(A or B) = P(A) + P(B) - P(A and B)

= 3/5 + 15/16 - (3/5)(15/16)

= 48/80 + 75/80 - 45/80

= 78/80

So A and B are not independent events because P(A and B) is not equal to 1.

Answer:

your answer is 2.

Step-by-step explanation:

3+6/2+2-3*2

3+3+2-3*2

3+3+2-6

6+2-6

8-6

2

Basically, follow PEMDAS (parenthesis, exponents, multipulcation, division, addition, and subtraction.) You move from left to right, Always remember that, ok.

0 0

 U

Answer:

Option D is correct.

No solution

Step-by-step explanation:

2(x+7)=8

Apply 2 into bracket:

2x+14=8

2x=8-14

2x=-6

Divide both sides by 2:

x=-3

hence here is no option for x=-3, so answer is no solution.

Answer:

Subtract the final price from the original price. Divide this number by the original price. Finally, multiply the result by 100.

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

&&'&_555555555----&&&&---

Answer:

9X10-8=82

Step-by-step explanation:

Step-by-step explanation:

sqrt(x+4)

the answer is in the image above

The probability of pulling a blue marble and the coin landing tail up will be C. 540 / 2500

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability of pulling a blue marble and the coin landing tail up will be:

= 18/50 × 30/50

= 540 / 2500

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Answer:

percentage loss is 12.5%

Step-by-step explanation:

Find p percent in which sp = 14000 and cp = 16000​

Given

Selling price = 14000

Cost price = 16000

Since CP>SP, there is a loss. We need to calculate the loss percent using the formula;

%Loss = CP-SP/CP * 100%

%Loss = 16000-14000/16000 * 100

%Loss = 2000/16000 * 100

%Loss = 1/8 * 100

%Loss = 12.5%

Hence the percentage loss is 12.5%

Answer:

(B) 16.7 kg

Step-by-step explanation:

First, start by converting everything to kilograms (using unit converters):

\(250g(\frac{10^{-3}kg}{1g})=250*10^{-3}kg=0.25kg\)

Then, add all the weights together:

\(100kg+0.25kg+150kg+0.25g=250kg+0.5kg=250.5kg\)

Now, divide this number by 15 (since they are packed in 15 bags):

\(\frac{250.5kg}{15}=16.7 kg\)

(B) 16.7 kg

Answer:

D)21

Step-by-step explanation:

I hope I can help. You won't make a mistake there

Answer:

Answer is D) 21

\({ \tt{ {x}^{2} - 7x + 3 = 0}}\)

Sum of roots [L + M]: -(-7) = 7

Product of roots [ LM ]: 3

\({ \rm{L {}^{2} M +LM {}^{2} = LM(L + M )}} \\ \\ = { \rm{3(7)}} \\ \\ = 21\)

Answer:

2in

Step-by-step explanation:

Since we are not given the type of polygon, let the polygon be an hexagon. An hexagon is a 6 sides shape. The perimeter of the shape will be the sum of all the sides of the polygon

Perimeter of the polygon = 6L

Length is the length of the side

Given

Perimeter of the polygon = 12in

Substitute and get L

P = 6L

12 = 6L

L = 12/6

L = 2in

Hence the length of side x of the polygon is 2in

The asymptotes of the reciprocal function are x = 3 and y = 4. Also, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

The function is given as:

f(x) = -2[1/0.5(x -3)] + 4

A reciprocal function is generally represented as:

f(x) = a[1/(x -c)] + k

So, we have:

a = -2

c = -3 * 0.5

c = -1.5

k = 4

d = 0

Hence, the values of a, c, d and k are -2, -1.5, 0 and 4

We have:

f(x) = -2[1/0.5(x -3)] + 4

Set the radical to 0

y = 0 + 4

Evaluate

y = 4

Set the denominator to 0

x - 3 = 0

Evaluate

x = 3

Hence, the asymptotes are x = 3 and y = 4

See attachment for the graph of the function f(x) = -2[1/0.5(x -3)] + 4

The table of values is

x         y

-4        4.6

-2      4.8

2        8

4        0

From the graph of the function, the domain is x < 3 or x > 3 and the range is y < 4 or y > 4

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The process involves finding the complementary solution x_c(t) by solving the homogeneous equation, determining the particular solution x_p(t) using the method of variation of parameters, and combining them to obtain the general solution x(t).

1. The method of variation of parameters can be used to solve the initial value problem x' = axf(t), x(a) = xa, where a and f(t) are given functions. In this case, we have the values a = 4 - 2t and f(t) = 16t^2. We need to find the solution x(t) using the initial condition x(0) = 2.

2. To solve the initial value problem using the method of variation of parameters, we first find the complementary solution x_c(t) by solving the homogeneous equation x' = ax.

3. For the given a = 4 - 2t, the homogeneous equation becomes x' = (4 - 2t)x. By separation of variables and integration, we find the complementary solution x_c(t) = Ce^(2t - t^2).

4. Next, we find the particular solution x_p(t) by assuming a particular solution of the form x_p(t) = u(t)e^(2t - t^2), where u(t) is a function to be determined.

5. Differentiating x_p(t) and substituting it into the original differential equation, we can solve for u'(t) and determine the form of u(t). After finding u(t), we substitute it back into x_p(t).

6. Finally, the general solution is given by x(t) = x_c(t) + x_p(t). By substituting the values and integrating, we can obtain the specific solution x(t) for the given initial condition.

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Answer:

Step-by-step explanation:

Answer:

try desmos!

Step-by-step explanation:

put it into the desmos graphing calculator

Answer: 24

Step-by-step explanation: do 4 times 6 first then 3-2 and then times it and you get 24

Given: $f(x) = a + b$ and $g(x) = f^{-1}(x)$ for all $x$Thus, $g$ is the inverse of the function $f$.We need to find all possible values of $a$ and $b$ such that $f(x) - g(x) = 2022$ for all $x$.

Now, $f(g(x)) = x$ and $g(f(x)) = x$ (as $g$ is the inverse of $f$) Therefore, $f(g(x)) - g(f(x)) = 0$$\ Right arrow f(f^{-1}(x)) - g(x) = 0$$\Right arrow a + b - g(x) = 0$This means $g(x) = a + b$ for all $x$.So, $f(x) - g(x) = f(x) - a - b = 2022$$\Right arrow f(x) = a + b + 2022$Since $f(x) = a + b$, we get $a + b = a + b + 2022$$\Right arrow b = 2022$Therefore, $f(x) = a + 2022$.

Now, $g(x) = f^{-1}(x)$ implies $f(g(x)) = x$$\Right arrow f(f^{-1}(x)) = x$$\Right arrow a + 2022 = x$. Thus, all possible values of $a$ are $a = x - 2022$.Therefore, the possible values of $a$ are all real numbers and $b = 2022$.

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Answer:

96

Step-by-step explanation:

8x6=48

48x2=96

Step-by-step explanation:

3y +4 =5y -10

2y = 14

y = 7

DEF = (3Y+4)× 2 OR (5Y-10) ×2 OR (5Y-10+ 3Y+4)

Def= (3 ×7+4)×2

=50 degree

It is true that the indexed variables (members) of an array must be integers.

The indexed variables or members of an array must be integers. This is because arrays are data structures that store elements in a contiguous block of memory, and each element is accessed using an index. Indexing allows us to uniquely identify and retrieve specific elements within the array. In most programming languages, including C, C++, Java, and Python, array indices are integers and must be whole numbers (positive or negative) without any fractions or decimals. Attempting to use non-integer values as indices would result in a compilation error or unexpected behavior.

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Answer:

-20 is your answer

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

6 is 1/3 of 18

so, 6% is 1/3 of 18%

Answer:

m= - 3/2

c=1/2

Step-by-step explanation:

y=mx+c (formula for finding slope)

y= -3x/2+1/2

m= - 3/2

c=1/2