A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.

How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.

The problem of scheduling exams for the high school students can be solved by using graph theory. We can represent the overlap of students in the form of a graph where each teacher is a node and the edges represent the students who belong to both the teachers classes.

To ensure that no student has to take more than one exam each day, we need to find a coloring of the graph such that no two adjacent nodes have the same color. This is equivalent to scheduling exams such that no two exams on the same day have any common students.

Using a greedy approach, we may overcome this issue by starting with any node and assigning it a color.. We then recursively color the neighbors of the node with a different color and so on. This algorithm will always produce a valid coloring since we are guaranteed to find a valid color for every node, given that we have not run out of colors.

In this case, we have seven teachers so we need at least seven colors. However we can find a valid coloring with fewer colors, depending on the structure of the graph. This problem can also be extended to more general situations, where we have more than one exam per day or where we have more complex constraints on the scheduling of exams.

The answer is general as no additional data is given.

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Answer:

The slope of this line is 1/5 and the y-intercept is -8

Step-by-step explanation:

Hope this helps!

Answer:

slope: 1/5 y-intercept: -8

Step-by-step explanation:

This is slope-intercept form, meaning that the formula is y=mx+b, with m being the slope and b being the y-intercept.

Answer:

Alt Int. <s Thm

m<4=45 degrees

Step-by-step explanation:

45=9x

x=5

m<4= 9*5

m^4=45

Answer:

r = 4

Step-by-step explanation:

The general form of the equation is y=mx + b where m is the slope and b is the intercept. The problem tells us that the slope is -3. So we know that y=-3x+b

Let's use the known coordinate (-5,13) to solve for b.

y=-3x+b

13 = -3(-5) + b

13 = 15 + b

b = -2

So now we have the equation:

y=-3x-2

Let's use the other coordinate (-2,r) and solve for the unknown "r" (which is y):

y = -3*-2 - 2

y = 6 - 2

y = 4

So the answer is 4.

Answer:

please mark my answer brainliest

Step-by-step explanation:

these types of input variables are called integer...

Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.

To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.

For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.

For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.

Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.

Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.

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Answer:

\( 3.45 \times {10}^{11} \)

Step-by-step Explanation:

\(345,000,000,000 = 3.45 \times {10}^{11} \\ \)

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

7 because u are changing division to mutiplication its called replicate

Answer:

since 2 and 1/3 is a mixed number change it into an improper fraction so it will be 7/3 / 1/3 find the reciprocal of the second fraction that is one of the three the reciprocal will be 3/1 so it will be 7/3 * 3/1 because when you find the reciprocal of a second fraction you also find the reciprocal of the sine and in this case division will change to multiplication when you multiply it you'll get the answer to be 7 hope it helps

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

Given two points on the line:

(3, 8) and (-4, 8), then the slope is:

m = (8 - 8)/(3 - (-4)) = 0

So, we have a horizontal line, and its equation is given by:

y = 8.

Then, any two points on the xyplane having y-coordinate = 8 are on the line. For instante:

(0, 8) and (1, 8) are two more points on the line.

Answer:

10 milligrams

Step-by-step explanation:

Answer:

1 milligrams

milligrams

Note that the expected value  of X is 2.5, the variance is 1.25,and the standard deviation is 1.12.

To calculate the expected value,variance, and standard deviation of the random variable X, we   need to determine the probabilities associated with each outcome and perform the necessary calculations.

The probability   of selecting each number from the set {1, 2, 3, 4} is equal since it isa uniform distribution.

Hence   the probability for each numberis 1/4 or 0.25.

Expected Value (E)  -

E(X) = Σ(x * P(x)  = ( 1 * 0.25) + (2 * 0.25) + (3 * 0.25) + (4 * 0.25) = 2.5

Variance (Var) -

Var(X) = Σ( (x - E(X))² * P(x)) = [(1 - 2.5)² *0.25] +   [(  2 - 2.5)² * 0.25] + [(3 - 2.5)² * 0.25] + [ (4 - 2.5)² * 0.25  ]

= 1.25

Standard Deviation (SD)  -

SD(X) = √Var(X)

=√ 1.25

=   1.12

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Calculate the expected value, the variance, and the standard deviation of the given random variable X. (Round all answers to two decimal places.) X is the number selected at random from the set {1, 2, 3, 4}.

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.

The equivalent statement using parenthesis using the de Morgan laws would be (not q) or (not p).

De Morgan's Laws. To write an equivalent statement using parentheses for P and not Q (P ∧ ¬Q), we'll apply De Morgan's Law:
De Morgan's Law states that:
1. ¬(P ∧ Q) ≡ ¬P ∨ ¬Q
2. ¬(P ∨ Q) ≡ ¬P ∧ ¬Q
In your case, you have P ∧ ¬Q, which doesn't directly match either of these forms. However, we can manipulate it to apply De Morgan's Law by taking the negation of both sides and then applying De Morgan's Law:
Original statement: P ∧ ¬Q
Negate both sides: ¬(P ∧ ¬Q)
Now, we can apply De Morgan's Law to the negated statement:
¬(P ∧ ¬Q) ≡ ¬P ∨ ¬¬Q
Since ¬¬Q is equivalent to Q, we have:
¬(P ∧ ¬Q) ≡ ¬P ∨ Q
Now we have an equivalent statement with parentheses:
Your answer: ¬(P ∧ ¬Q) ≡ ¬P ∨ Q

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Answer:

The point of intersection would be the point were both functions meet/cross paths.

Step-by-step explanation:

I don't know what the question looks like, if there is a graph or not, but the point of intersection is the point that both functions meet at the same place at the same time.

Hope this helps ^-^

Answer:

51

Step-by-step explanation:

I'm not sure which is the nth term, but the next term would be 51 because the numbers are going up by nine.

The average rate of change f(x) on the interval -6 ≤ x ≥ 2 is; 5

Average rate of change is a measure of how much the function changed per unit, on average, over that interval. This is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Now, the formula for the average rate of change over the interval (a, b) is;

f'(x) = [f(b) - f(a)]/(b - a)

Now, we are given the interval as -6 ≤ x ≥ 2.

From the given polynomial graph, we see that;

f(2) = 0 and f(-6) = 40

Thus;

f'(x) = [f(-6) - f(0)]/(2 - (-6))

f'(x) = (40 - 0)/8

f'(x) = 5

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

|x- 1,200|= 125 is an absolute value equation to represent the boutique owner goal.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative.

The example for absolute value is |-9|=9.

|x- 1,200|= 125 is the correct representation to achieve her goal because it will result in rise of goal. Other options will give negative sign and that is impossible.

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|x- 1,200|= 125 is an absolute value equation to represent the boutique owner goal.

What is meant by absolute value?

Absolute value is a term used in mathematics to refer to the magnitude or distance of a number from zero regardless of its sign. In other words, it is the numerical distance of a number from zero on the number line, regardless of whether it is a positive or negative number. For example, the absolute value of -3 is 3, and the absolute value of 3 is also 3. The symbol for absolute value is two vertical lines surrounding the number or expression, for example |-3| = 3.

Write an example of absolute value.
The example for absolute value is |-9|=9.

|x- 1,200|= 125 is the correct representation to achieve her goal because it will result in rise of goal. Other options will give negative sign and that is imposible.

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Answer: 8

Step-by-step explanation:

we know the area of a circle is

A=π r²  

50.24= 3.14* r²

50.24/3.14=r^2

16=r^2

r=sqrt 16=4

diameter is 2r=2*4=8

The perimeter of rectangle ABCD will be 112 centimeters.

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

In the following rectangle ABCD, the sum of the lengths of AB, BC, and CD is 90 cm. The sum of the lengths of BC, CD, and AD is 78 cm.

We know that in a rectangle ABCD, AB = CD, and BC = AD. Then we have

AB + BC + CD = 90

2 AB + BC = 90                    ...1

BC + CD + DA = 78

2 BC + AB = 78               ...2

From equations 1 and 2, we have

3AB + 3BC = 168

AB + BC = 56

2(AB + BC) = 112 cm

P = 112 cm

The perimeter of rectangle ABCD will be 112 centimeters.

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\(answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps\)

Answer:

The slope would be 2

Step-by-step explanation:

Please brainliest!

And hope this helped you!

I also answered first!

And tell me If I am wrong! :D

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

Answer:

Step-by-step explanation:

$1500-$250 = $1250

You need to save an additional $1250.

The question did not include a pay rate.

Suppose you earn x dollars an hour.

$1250 × (1 hour)/($x) = (1250/x) hours

You need to work 1250/x hours.

x=3

pls mark as brainliest

Answer:

x=3 is the answer

Step-by-step explanation:

Mark as brainliest please!