Page 1:
1
A
1=1.5 m
75°
0
B
wiper
1) What is the radius?
2) What is the angle measure?
3) What formula can you use to find the area?
4) What is the area of the space swept by the wiper?
گے

24.08319

Step 1 : Find 1 / N

  1 / N = 1 / 5 = 0.2

Step 2 : Find mean

 GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2

       = ( 1050 ) 0.2

 GM= 4.020

Answer:

3/20 (fraction form) OR 0.15 (decimal form)

Step-by-step explanation:

First, you multiply 3/4*1/5 which would be 3*1/4*5, which is 3/20.

Answer:

Step-by-step explanation:

the second table by 60 cents

table a

37.40 * 0.15 = 5.61 tip

(multiplying by 0.15 takes 15 percent)

table b

34.50 * 0.18 = 6.21 tip

(multiplying by 0.18 takes 18 percent)

hope this helps :)

Answer:

See below

Step-by-step explanation:

Desmos is a free graphing calculator.

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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In this scenario, the population refers to the entire group or set of individuals that the study is trying to make inferences about. It represents the larger group from which the sample is drawn.

Given that the survey was conducted among the junior class at a high school, the population would consist of all juniors at the high school. This includes not only the seventy-five selected students who participated in the survey but also those who did not participate. Therefore, the correct choice for the population is:

c. all students at the high school.

On the other hand, the sample is the specific subset of individuals who were selected and surveyed from the population. In this case, the sample would be the seventy-five juniors who were selected and participated in the survey. Therefore, the correct choice for the sample is:

a. the seventy-five juniors selected.

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The correct statements regarding activity diagrams are:

a. There can be multiple end points, but only one starting point.

c. A branch can have multiple incoming arrows.

d. A decision point may have more than 2 outgoing arrows.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

f. An activity can be nested within another activity.

Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:

a. There can be multiple end points, but only one starting point:

Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.

c. A branch can have multiple incoming arrows:

A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.

d. A decision point may have more than 2 outgoing arrows:

A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.

e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:

In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.

f. An activity can be nested within another activity:

Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.

In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.

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We are interested in the activity diagram. Check all the correct answers.

Please select at least one answer.

O a. There can be multiple end points, but only one starting point.

O b. Any joint must have been preceded by a branch.

O c. A branch can have multiple incoming arrows.

O d. A decision point may have more than 2 outgoing arrows.

Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.

Of. An activity can be nested within another activity.

Answer:

a.  70

b.  £400

c.  80 meters

Step-by-step explanation:

a.  68 becomes 70 (1 sig fig)

b.  £382 becomes £400 (1 sig fig)

c.  76m becomes 80 meters (1 sig fig)

Ugly, but true.

Answer:

4

Step-by-step explanation:

Take any point other than (0,0) that is on the line and put it in the form 7/x and that will give you your constant of proportionality.

For example the point graphed is (1,4)  1 is the x value and 4 is the y value.

4/1 = 4

Answer: 4

Step-by-step explanation:

The constant of proportionality is the slope of a line that goes through the origin.

The slope/constant of proportionality is how much the Y increases every time the X increases by 1. Since your graph has the point (1, 4) labeled, the Y goes up 4 units for every 1 unit the X increases by.

The equations without absolute value for the given conditions are: 1. y = -3x + 6 if x > 5; 2. y = -x - 6 if x < -2; 3. y = x - 6 if 3 ≤ x ≤ 5, and y = -x - 6 if x < 3.

1. When x > 5, the expression (x - 3) is positive, (x + 2) is positive, and (x - 5) is positive. Thus, to get absolute value we can rewrite the equation as:

y = (x - 3) + (x + 2) - (x - 5)

Simplifying this, we get:

y = 2x - 4

2. When x < -2, the expression (x - 3) is negative, (x + 2) is negative, and (x - 5) is negative. Thus, we can rewrite the equation as:

y = -(x - 3) - (x + 2) + (x - 5)

Simplifying this, we get:

y = -2x + 6

3. When -2 ≤ x ≤ 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is negative. Thus, we can rewrite the equation as:

y = -(x - 3) + (x + 2) - (x - 5)

Simplifying this, we get:

y = 10 - x

When x > 3, the expression (x - 3) is negative, (x + 2) is positive, and (x - 5) is positive. Thus, we can rewrite the equation as:

y = -(x - 3) + (x + 2) + (x - 5)

Simplifying this, we get:

y = -2x + 6

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Answer:

D,E

Step-by-step explanation:

The probability that the number of lost-time accidents occurring over a period of 7 days will be exactly 3 is 0.7295

Binomial Distribution

The binomial distribution is the sum of a series of multiple independent and identically distributed Bernoulli trials. In a Bernoulli trial, the experiment is said to be random and can only have two possible outcomes- success or failure.

In a binomial distribution the probability of getting success must remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is ½ or 0.5 for every trial we conduct, since there are only two possible outcomes.

Mean rate of lost time accident = 0.3 per day

probability that the number of lost-time accidents occurring over a period of 7 days will be no more than 3.

n = 7

Using binomial distribution formula :

P(x ≤3)

Probability of success (p) = 0.3

1 - p = 1- 0.3 = 0.7

nCx * p^x * (1 - p)^(n-x)

Using the binomial probability distribution calculator to save computation time :

P(x ≤3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

P(x ≤3) = 0.0403 + 0.1556 + 0.2668 + 0.2668

P(x ≤3) = 0.7295

0.7295

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Answer:

Equation of the line is y = 3x +1

Step-by-step explanation:

Answer:

√65

Step-by-step explanation:

I am pretty sure this is the correct answer :)

Answer:

d = √(x2 - x1)² + (y2 - y1)²           given two points, (-5, 1)  (3, 0)

d = √(3 - (-5)² + (0 - 1)²

d = √(8)² + (-1)²

d = √64 + 1

d = √65       B. is the answer

Step-by-step explanation:

Answer:

with the square inside: 708 ft

without the square: 628 ft

Step-by-step explanation:

perimeter of a semicirlce = \(\frac{1}{2}\) (π\(r^{2}\))

perimeter of a square = 4a

Perimeter of square: 4a

substitute 20 for a

⇒ 4a

⇒ 4 x 20

⇒ 80 ft

Perimeter of semicircle: \(\frac{1}{2}\) (π\(r^{2}\))

r = half of 20 which is 10

⇒ \(\frac{1}{2}\) (π\(r^{2}\))

⇒ \(\frac{1}{2}\) (3.14 x \(10^{2}\))

⇒ \(\frac{1}{2}\) (3.14 x 100)

⇒ \(\frac{1}{2}\) x 314

⇒ 157 ft

Since there are 4 semicirlces, just take 157 ft and multiply it by 4

⇒ 157 x 4

⇒ 628 ft

take 628 ft and add 80 ft:

⇒ 628 + 80

⇒708 ft

Answer:

D. 14

Step-by-step explanation:

im just different

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer: The recursive formula for the sequence 2, -6, 18, -54 is given by the following:

a(n) = (-3) * a(n-1)

where a(n) is the nth term of the sequence and a(n-1) is the previous term in the sequence.

This means that each term in the sequence is equal to -3 times the previous term, with the first term being 2. For example, the third term of the sequence (a(3)) would be equal to (-3) * a(2), which is (-3) * (-6) = 18. The fourth term of the sequence (a(4)) would be equal to (-3) * a(3), which is (-3) * 18 = -54. And so on.

This recursive formula can be used to calculate the nth term of the sequence for any value of n.

Answer:

e (2,-1)

f (4,-1)

g (5,-4)

h (1,-4)

Answer:

12 feet

Step-by-step explanation:

Use the Pythagorean Theorem.

5² + x² = 13²

25 + x² = 169

169 - 25 = 144

√144 = 12

12 feet

\(82x - 33\) ✅

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\(5x + 11(7x - 3) \\ = 5x + 77x - 33 \\ = 82x - 33\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

96

Step-by-step explanation:

6a²

Put a as 4.

6(4)²

Solve for power first.

6(16)

Multiply both terms.

= 96

Answer:

Transitive Property of Congruence

Explanation:

Here, we want to get the congruence law used

From what we have, given 3 set of angles with 1 one of the angles equal to the two others, it mean that the other two are equal to one another

Thus, we can see that there is a linkage between the values as a result of one of the angles being equal to the other two

The name of the congruence property that represents this is the transitive property of congruence

We can use it to infer or get the value of a third angle or use to define the equality of two angles given a third one in which the first two are equal to

Answer:   I'm gonna go with B. hours worked; weekly pay; 30 to 35 hours; $360 to $420, because I had something similar to this

Wendy is paid $9 per hour and plans to work between 20 and 25 hours per week. Identify the independent and dependent quantity in the situation. Find reasonable domain and range values.

weekly pay; hours worked; 20 to 25 hours; $180 to $225

hours worked; weekly pay; 20 to 25 hours; $180 to $225

weekly pay; hours worked; $180 to $225; 20 to 25 hours

hours worked; weekly pay; 20 to 25 hours; $9 to $225

Step-by-step explanation:

The independent quantity is her pay and the dependent quantity is the hours she works in a week.

I believe the range would be 30 to 35 hours and the domain would be $360 to $450.

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

Answer:

Part a) The independent quantity is the variable x (the number of hours) and the dependent quantity is the variable y (total paid)

Part b) Domain  

Part c) Range  

Step-by-step explanation:

Let

x------> the number of hours

y-----> total paid

The linear equation that represent this situation is

so

Part a)

The independent quantity is the variable x (the number of hours)

The dependent quantity is the variable y (total paid)

Part b) Find the domain

The domain is the interval-------->  

All real numbers greater than or equal to  hours and less than or equal to  hours

Part c) Find the range

For  

find the value of y

For  

find the value of y

The range is the interval------->  

All real numbers greater than or equal to  and less than or equal to  

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

The dependent quantity would be the $12 per hour, while the independent quantities are 30 hrs/ week to 35 hours/ week.

The $12 per hour would become $360/week to $420/week.

The domain of the problem, with the unit of hrs/week, would be :30,31,32,33,34,35.

The Range of the problem, with the unit of $/week, would be : 360, 372, 384, 396, 408, 420.

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

Answer:

$78

Step-by-step explanation:

Here we have to find total distance first then find amount of gasoline used based on distance traveled by car in one gallon.

_____________________________________________

Given

time = 12 hours

speed = 64 miles per hour

we know distance = speed * time

distance = 12*64 = 768 miles.

Thus, car ran 768 miles.

given that car gets an average of 32 miles per gallon.

It means in one gallon gasoline car travels 32 miles.

let the gallons used be x

in 1 gallon gasoline car travels 32 miles.

in 1*x gallon gasoline car travels 32*x miles = 32x

Thus, 32x should be equal to 768 miles as car traveled that much only

32x = 768 miles

x = 768/32 = 24

Thus, gallons of gasoline used is 24.

Cost of 1 gallon gasoline = $3.25

since, gallons found is 24, we multiply lHS and RHS by 24

Cost of 1 *24= 24 gallon gasoline = $3.25*24 = $78

Thus,

cost of 24 gallon is $78 which will be the gasoline cost for the trip.

The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.  Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.

To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.

1 kilogram (kg) = 2.20462 pounds (lbs)

Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.

So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds

Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Given simplification:

3√7 + 7√63 + (√7/7)

= 3√7 + 7√(9*7) + (√7/7)

= 3√7 + 7*3√7 + (√7/7)

= 3√7 + 21√7 + (√7/7)

= (3+21)√7 + (√7/7)

= 24√7 + (√7/√7)

= (7*24√7 + √7)/7

= (168√7 + √7)/7

= (169√7)/7

Answer:- 3√7 + 7√63 + (√7/7) = (169√7)/7.

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To find the product 3/7 times 4/9, Cameron simplified 3/7 to 1/7 and the multiplied the fraction 1/7 and 4/9 to find the product 4/63....

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Incomplete Question:

The content of the pie chart is as follows:

Hamsters  = 9% ; Snakes  = 10% ; Cats  = 23%

Birds  = 21% ;  Dogs  = 26% ;  Fish  = 11%

Answer:

The number of citizens who chose cat or fish is 47,600

Step-by-step explanation:

Given

Number of citizens = 140,000

Required

Determine the number of those that chose fish or cats

First, we need to calculate the percentage of those whose pets are either cats or fish

\(Percentage = Cat + Fish\)

Substitute 23% for cat and 11% for fish

\(Percentage = 23\% + 11\%\)

\(Percentage = 34\%\)

Next, is to multiply the calculated percentage by the number of citizens

\(Cat\ or\ Fish = Percentage * Number\ of\ Citizens\)

\(Cat\ or\ Fish = 34\% * 140000\)

\(Cat\ or\ fish = 47600\)

Hence, the number of citizens who chose cat or fish is 47,600

the number of citizens who chose cat or fish is 47,600

= Number of citizens × total percentage

\(= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%\)

= 47,600

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