Are events A and C mutually exclusive

Answer:

24÷8=3

Step-by-step explanation:

because 24÷8=3

Step-by-step explanation:

12 coffee

3 people

pls mark brainliest

15 answer

Answer:

$5.81

Step-by-step explanation:

$0.63×4=$2.52

$8.33-$2.52=$5.81

Distance is the number of units between two points.

Tom's distance was 15 km shorter than James's

Calculate the difference between these distances

\(d = 25km -10km\)

Evaluate the differences

\(d = 15km\)

Hence, Tom's distance was 15 km shorter than James's

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Im not sure how to explain how to do a graph, but I hope this helps at least a bit!

~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

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The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation:

Answer:

3≤x≤6

Step-by-step explanation:

2≤3x-7≤11

2+7≤3x-7+7≤11+7

9≤3x≤18

9÷3≤3x÷3≤18÷3

3≤x≤6

The probability that a person who tests positive actually has the disease is 0.012%

From the question, we have the following parameters that can be used in our computation:

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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9514 1404 393

Answer:

  2:19:45 hours if "average speed" is for all laps

  2:48:03 hours if "average speed" is for full-speed laps only

Step-by-step explanation:

If we assume that the 161 mph average speed is the average over the entire race, then the time is ...

  time = distance/speed

  time = (2.5 mi/lap)(150 laps)/(161 mi/h) = (375 mi)/(161 mi/h) ≈ 2.3292 h

  ≈ 2 h 19 min 45 s

__

Additional comment

The meaning of "average speed" in this context is unclear. If we assume the average speed applies only to non-cautionary laps, then the time is ...

  time = distance 1/speed 1 + distance 2/speed 2

  time = (30 laps)(2.5 mi/lap)/(80 mi/h) +(120 laps)(2.5 mi/lap)/(161 mi/h)

  = (75 mi)/(80 mi/h) +(300 mi)/(161 mi/h) ≈ 0.9375 h + 1.8634 h ≈ 2.8009 h

  ≈ 2 h 48 min 3 s

__

Hours can be converted to HH:MM:SS by subtracting the integer part and multiplying the fractional part by 60, then repeat. The integer parts in this process are the sexagesimal (base-60) digits of HH:MM:SS from left to right.

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

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Answer:

Step-by-step explanation:

The three numbers are 50, 40, and 27.

We can solve this equation by setting up a system of equations.

Let x be the first number, y be the second number, and z be the third number.

x + y + z = 117

y = x - 10

z = (1/2)x + 2

Substituting the equation for y into the first equation, we get:

x + (x - 10) + (1/2)x + 2 = 117

2x - 8 = 117

2x = 125

x = 62.5

Substituting this value of x into the other equations, we get:

y = x - 10 = 62.5 - 10 = 52

z = (1/2)x + 2 = (1/2)62.5 + 2 = 32.5 + 2 = 34.5

Rounding these values, the three numbers are 50, 40, and 27.

No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

total distance = 3/4 miles

distance covered = 1/3 miles

distance left = 3/4 - 1/3

Answer:

Rational: 0.51 and 0.52

Irrational: sqrt(.26) and sqrt(.27)

Answer:

30 lb bag is cheaper by about $2.40

Step-by-step explanation:

to find per pound we divide

19.49/4= 4.8725

$4.87per pound

$73.99/30=2.46633

$2.47 per pound

30 lb bag is cheaper per pound

4.87-2.47=2.40

hopes this helps please mark brainliest

The linear function there after 18 minutes of calls, then the credit was = $29

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that,

Slope = -0.16

There linear function is $29.00 in credit remaining on the card after 25 minutes of calls

There after 18 minutes of calls?

Slope m = -0.16

Let us assume,

x = 25 minutes

y = $29.00 in credit

Substitute this values,

So,

We can write,

y = mx + b

$29.00 = (-0.16) (25) + b

$29.00 = -24.84 + b

b = $29.00 + 24.84

b = $53.84

We can substitute b value,

y = mx + b

y = (-0.16) x + $53.84

y = \(-0.16x\) + $53.84

y = (-0.16)(25) + $53.84

y = -24.84 + $53.84

y = $29

Therefore,

The linear function there after 18 minutes of calls, then the credit was = $29

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Answer: 3^3 Square root 3

Step-by-step explanation:

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21

Answer/Explanation:

Starch and glycogen are both polysacharide molecules, meaning they are made up of chains of monosaccharides - sugars. They are both polymers of glucose monomers.

However, they differ in structure. Glycogen is far more branched than starch.

Starch is the storage carbohydrate most often found in plants, whereas glycogen is the storage carbohydrate most often found in animals and fungi.

Answer:

0.11

Step-by-step explanation:

Write down the percent divided by 100 like this:percent 100

Then if the percent is not a whole number then multiply both top and bottom by 10 for ever

Answer:

20/2311 = 0.00865426222

To construct a frequency distribution and frequency histogram of the data using five classes, we first need to determine the range of the data and the class interval.

The range is the difference between the highest and lowest values in the data set, in this case, 98 - 1 = 97.

We can divide the range by the number of classes to determine the class interval. In this case, 97/5 = 19.4.

We will round up to 20 to have easily divisible numbers.

The class intervals with the frequency would be:

1-20: 3

21-40: 2

41-60: 0

61-80: 3

81-100: 2

Next, we need to create a frequency histogram by plotting the class intervals on the x-axis and the frequencies on the y-axis, and then drawing a bar for each class interval representing the frequency.

The histogram will be skewed right. A histogram is skewed right when the tail of the histogram extends farther to the right than the left. In this case, the majority of the data falls in the lower class intervals, but there are a few outliers on the higher end, which extends the histogram to the right.

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Answer:

B) Fifth Grade Boys

Step-by-step explanation:

The far right green line represents the fifth grade boys, and you can see that this lines up right in the middle of 50 and 60.

Answer I think D, I would never choose b :

Step-by-step explanation:

Answer:

-13.50

Step-by-step explanation:

2.50 x -4 = -10

-3.50 + -10 = -13.50