What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights?

Answer:

First, We convert it to an improper fraction

which in this case, is 15/2

Found by Multiplying the whole number (7) with the denominator (2) and adding it with the numerator (1)

After that Use the same denominator to get 15/2

and then we divide the new numerator (15) by the denominator (2_ to get our answer.

which is, 7.5.

All Done!

Answer:

7.5

Step-by-step explanation:

Turn into an improper fraction.

2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 2/2 + 1/2 = 15/2

Divide 15 by two.

7.5

The measure of angle EFH, m ∠EFH is 71°

The measure of angle EFG, m ∠EFG is 142°

From the question, we are to determine the measure of angle EFH and angle EFG

From the given information, we have that

FH bisects ∠EFG.

Thus, we can write that

m ∠EFH = m ∠GFH

From the given information,

m ∠GFH = 71°

∴ m ∠EFH = 71°

Also,

Since FH bisects ∠EFG

Then,

m ∠EFH + m ∠GFH = m ∠EFG

71° + 71° = m ∠EFG

142° = m ∠EFG

m ∠EFG = 142°

Hence, the measure of angle EFH, m ∠EFH is 71°

The measure of angle EFG, m ∠EFG is 142°

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Answer:

probly   79.5

Step-by-step explanation:

i d k

The formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

What is angle of elevation ?

Let the formula for the exponential function that approximates the ground roll for a fully loaded Cessna 172 at an elevation of x be

y =A(B)x ....(1)

Here,

A = ground roll at x =0,

B = growth factor.

Since at x =0, , Ground roll is = A = 585 ft ....(2)

On putting A = 585 in equation (1), we get

y = 585(B)x ....(3)

Now, at elivation of x = 1000 ft ,

Ground roll y = 640 ft.

So, putting these values in equation (3), to get

640 = 585(B)1000

Reversing the sides to get

585(B)1000 = 640

Or B1000 = 640/585

Or B1000 = 1.09017094

Or B = (1.09017094)1/1000

Or B = 1.00009 .....(4)

On putting the value of B  in equation (3), we get

y = 585(1.00009)x

Hence, the formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

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Answer:

36=3×2×2×3

48=2×2×2×2×3

Explanation:

Step 1: Divide the given number by the smallest prime number.

36/3=12. (1)

48/2=24. (2)

Step 2: Again, divide the quotient by the smallest prime number.

12/2=6. (1)

24/2=12. (2)

Step 3: Repeat the process, until the quotient becomes 1.

6/2= 3. (1)

12/2=6 (2)

3/3=1 (1)

6/2=3 (2)

3/3=1. (2)

Step 4: Finally, multiply all the prime factors.

36=3×2×2×3

48=2×2×2×2×3

Answer:

36 = 2 × 2× 3 ×3

48 = 2 × 2× 2 × 2 ×3

Step-by-step explanation:

Answer:

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)

Answer:

[tex]\frac{5}{6} * 15 = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\[/tex]

Reduce the fraction by diving both sides by the common factor.

[tex]\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}[/tex]

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

[tex]\frac{25}{2} = 12\frac{1}{2}[/tex]

[tex]\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}[/tex]

[tex]\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}[/tex]

In linear equation the solution set of the equations x = 1/2, y = -3.

What in mathematics is a linear equation?

Multiply both sides of the equation by a

coefficient -  2(4x - 3y ) = 11 × 2

                     3 ( 10x + 2y ) = ( - 1 ) × 3

apply multiplicative distribution law

8x - 6y = 11 × 2

3( 10x + 2y ) = (-1) × 3

calculate the first terms

8x - 6y = 22

3( 10x + 2y ) = ( -1) × 3

remove the parentheses

8x - 6y = 22

30x + 6y = -3

add up the two equation

8x - 6y + ( 30x + 6y ) = 22 + ( -3)

remove parentheses  - 8x - 6y + 30x + 6y = 22 -3

cancel the unknown variables - 8x + 30x = 22 -3

combine like terms - 38x = 22 - 3

calculate the sum or difference - 38x = 19

reduce the greatest common factor on both

sides of equation - 2x = 1

divide both sides of the equation by the coefficient of variable - x = 1/2

substitute one unknown quantity into the elimination 8 * 1/2 - 6y = 22

reduce the expression to the lowest term 4-6y = 22

reduce the greatest common factor on both sides of the equation

2 - 3y = 11

Rearrange unknown terms to the left side of the equation - 2 - 3y = 11

calculate the sum or difference  -3y = 9

reduce the greatest common factor on both sides of the equation   -y = 3

divide both sides of the equation by the coefficient of variable   y = -3

the solution set of the equations

x = 1/2

y = -3

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Answer:

Step-by-step explanation:

2x+18=6y

2x=6y−18

(2x)/2=(6y−18)/2

x=3y−9

Answer:

Step-by-step explanation:

2x  +  18+− 18=6y  +  −18

2x  =  6y − 18

2x / 2= 6y −18 / 2

x  =  3y −9

The water level after the rainfall is 3.05m

The water level in colorado river is 2.55m below average

A larger rainfall happened and the water level rose by 0.8m

Therefore the water level after the rainfall can be calculated by adding the previous water level which is 2.55 by the new increase which is 0.8

= 2.55 + 0.8

= 3.05

Hence the water level after the rainfall is 3.05 m

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Answer:

3.4, 1/4, 12%, -0.01, -26.1

Step-by-step explanation:

The simplest way to do these type of problems is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.

12% is already a percentage

-0.01 = -1%

1/4 = 25%

3.4 = 340%

-26.1 = -2610%

Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):

3.4, 1/4, 12%, -0.01, -26.1

FINAL ANSWER: 3.4, 1/4, 12%, -0.01, -26.1

Answer:

96

Step-by-step explanation:

Answer: Standard deviation

Step-by-step explanation: The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each score lies from the mean. The larger the standard deviation, the more variable the data set is.

Answer:

C

Step-by-step explanation:

answer:

8

explanation:

8 x 2 = 16

16 - 4 = 12

Answer:

8

explanation:

8 x 2 = 16

16 - 4 = 12

Answer: -118

Step-by-step explanation:

49^((1)/(2))- 25^((3)/(2))=

49^(1/2) -25^(3/2)=

7-25^((2+1)/2)=

7-25^((2/2)+(1/2))=

7-25^(1+1/2)=

7-25^(1) *25^(1/2)=

7-(25*5)=

7-125=-118

Answer:

Step-by-step explanation:

4.50 divides by 5 than times the answer by 7

Step-by-step explanation:

4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.

and then we have

-24 = x + x+2 + x+4 + x+6 = 4x + 12

4x = -36

x = -9

x+2 = -7

x+4 = -5

x+6 = -3

so, in sequence from small to large these 4 numbers are

-9, -7, -5, -3

The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.

We know that, the area of rectangle is given by:

Area = Length × Breadth

Now, we will substitute the values of length as 4x and breadth as 5 in the formula:

= 4x × 5

= 20x

Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:

100 ≤ 20 x ≤ 1,000.

Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.

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Answer:

5

Step-by-step explanation:

This uses the Pythagorean theorem ([tex]f^2 + g^{2} =h^2[/tex]).  So you would take your values 3 and 4 and plug them into the equation.  [tex]3^2+4^2=h^2[/tex].  This becomes [tex]9+16=h^2[/tex].  Simplify and this becomes [tex]25=h^2[/tex].  If you take the square root of both sides you will end with 5 = h.  Therefore your answer is 5.

Answer:

H=5

Step-by-step explanation:

Since it's a right triangle, you can use the Pythagorean Theorem which is [tex]a^2 + b^2 = c^2[/tex] or in this case: [tex]f^2 + g^2 = h^2[/tex]

Substitute 3 in for f and 4 in for g: [tex]3^2 + 4^2 = h^2[/tex]

Add 9 and 16 together, it's 25 and then find the square root of 25 and the square root of h and the answer is 5

[tex]f^2 + g^2=h^2\\3^2 + 4^2 = h^2\\9 + 16 = h^2\\25 = h^2\\\sqrt25 = \sqrt h^2\\5 = h[/tex]

GOOD LUCK! :)

Answer:

for the triangle question the ans is 2

for the equation question where u have to find the mistake the student made, its the last option

The total number of students whose favorite color was blue is 184 students.

Total number of students Natalie surveyed in her school = 800

Given the percentage of  students who said their favorite color was red = 77%

Now to calculate 77% of the total students is

= 77% of 800

= 77/100 * 800

= 616

The number of students who said red was their favorite color was 616.

So, the number of students who stated that blue was their favorite color

= total students - red color favorite students

= 800 - 616

= 184

Therefore, There are a total of 184 students whose favorite color is blue.

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The equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18

The question has to do with linear equation

A linear equation is a mathematical expression in which the highest power of the unknown is 1.

Let

Given that the maximum speed, in miles per hour, of a cheetah is 18 more than 3 times  the maximum speed of the hippopotamus

Now, since the maximum speed of the hippopotamus is h, 3 times the maximum speed of the hippopotamus is 3h.

Since the cheetah is 18 more than 3 times  the maximum speed of the hippopotamus, we have that

x = 3h + 18

Substituting x = 75 into the equation, we have

75 = 3h + 18

So, the equation could be used to find the maximum speed of a hippopotamus h is C. 75 = 3h + 18

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Answer:

A)  |x - 1200| = 22

B)  x = 1222,  x = 1178

C)  Minimum = $1,178

    Maximum = $1,222

Step-by-step explanation:

Define the variable:

Given information:

If the artist plans to sell $300 of prints each week, then she plans to sell approx $1200 of prints each month, since there are approximately 4 weeks in each month.

If she is within $22 of her goal, this month then:

⇒ |x - 1200| = 22

To solve an equation containing an absolute value, set the contents of the absolute value equal to both the positive and negative value of the number on the other side of the equation, then solve both equations:

Equation 1

⇒ x - 1200 = 22

⇒ x - 1200 + 1200 = 22 + 1200

⇒ x = 1222

Equation 2

⇒ x - 1200 = -22

⇒ x - 1200 + 1200 = -22 + 1200

⇒ x = 1178

Therefore:

The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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It is a independent event. The probability is 6/25.

An independent event is an event whose occurrence are random event. There is no relationship between picking a yellow highlighter and then a green highlighter.

Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability of  picking a yellow highlighter and then a green highlighter = (number of yellow highlighters / total number of highlighters) x = (number of green highlighters / total number of highlighters)

(12 / 20) x (8 /20) = 6/25

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