Two of the longest running horror movie franchises are Friday the 13th with the hockey-mask wearing Jason Voorhees and Halloween with pale-faced Michael Myers. Combined there have been 22 movies and 307 victims. The cause of death for the victims includes 67 blunt force trauma, 33 exotic, 17 shot, 148 stabbed, and 42 vital parts removed. [102] (a) Make a frequency table that includes both the frequency (count) and the relative frequency (proportion or percent) of the cause of death. (b) What percentage of the victims died from stabbing? (c) Make a bar chart of the cause of death using percent on the vertical axis.
Answers
The bar Chart visualize the distribution of the cause of death and provides a quick comparison between different categories
(a) Frequency table for the cause of death:
Cause of Death Frequency Relative Frequency (%)
Blunt Force Trauma 67 21.8
Exotic 33 10.7
Shot 17 5.5
Stabbed 148 48.2
Vital Parts Removed 42 13.7
To calculate the relative frequency, we divide each frequency by the total number of victims (307 in this case) and multiply by 100 to express it as a percentage.
(b) Percentage of victims who died from stabbing:
To calculate the percentage of victims who died from stabbing, we divide the frequency of stabbing (148) by the total number of victims (307) and multiply by 100.
Percentage = (148/307) * 100 ≈ 48.2%
Approximately 48.2% of the victims died from stabbing.
(c) Bar chart of the cause of death using percentages:
Cause of Death
|
50% | ______
| | |
40% | | |
| | |
30% | | |
| | |
20% | | |
| _______________|_____|__________
10% | | | | |
|___|________|______|______|_____________
Blunt Exotic Shot Stabbed Vital
Force Parts
Trauma Removed
The vertical axis represents the percentage of victims, and each bar represents a different cause of death. The longest bar represents stabbing, indicating that it is the most common cause of death among the victims. The bar chart helps visualize the distribution of the cause of death and provides a quick comparison between different categories.
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Related Questions
Solve 10^x = 100,000
Answers
Answer:
x = 5
Step-by-step explanation:
10^5=
(10 x 10) x 10 x 10 x 10=
(100 x 10)x 10 x 10=
(1000 x 10) x 10=
(10,000 x 10) = 100,000
To solve the equation 10^x = 100,000, we need to isolate x on one side of the equation. We can do this by taking the logarithm of both sides of the equation with base 10:
log(10^x) = log(100,000)
Using the logarithmic property log(a^b) = b*log(a), we can simplify the left side of the equation:
x*log(10) = log(100,000)
Since log(10) = 1, we can simplify further:
x = log(100,000)
Using a calculator, we can evaluate the logarithm to get:
x = 5 + log(10)
x = 5 + 1
x = 6
Therefore, the solution to the equation 10^x = 100,000 is x = 6.
How large must your sample size be to produce a 95% confidence interval with the desired margin of error of 4% given that the proportion of people that eat breakfast in the morning is 75%? Make sure you round at the end of the problem and think about what you are trying to solve
Answers
The produce a 95% confidence interval with a margin of error of 4% sample size of 451 the proportion of people eating breakfast is 75%.
The required sample size for a 95% confidence interval with a margin of error of 4% (0.04) and a proportion of 75%,
n = (Z² × p × (1-p)) / E²
where:
n = sample size
Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)
p = proportion of people eating breakfast (expressed as a decimal, so 75% is 0.75)
E = margin of error (0.04)
n = (1.9² × 0.75 × (1-0.75)) / 0.04²
n =(3.8416 × 0.75 × 0.25) / 0.0016
n = 0.7209 / 0.0016
n = 450.56
a fractional sample size, to round up to the nearest whole number.
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which ordered pair is a solution of the equation
Answers
Answer:
D
Step-by-step explanation:
y - 4 = 7(x - 6) Remove the brackets
y - 4 = 7x - 42 Add 4 to both sides
y = 7x - 42 + 4
y = 7x - 38
Note when you put this in slope, y intercept form, the ordered pair is easier to find.
Let x = 5
y = 7*5 - 38
y = 35 - 38
y = -3 (5,4) isn't right
Let x = 6
y = 7*6 - 38
y = 42 - 38
y = 4 That does not work either.
The answer is D
What’s true mean if mid value are 37.5 42.5 47.5 52.5 57.5 and number of students are 30,20,15,13,22 respectively
Answers
The true mean of the data-set is given as follows:
46.35.
How to obtain the mean of a data-set?
The mean of a data-set is calculated as the sum of all observations divided by the number of observations.
In this problem, the sum is given by the multiplication of the mid-values by the number of students with each value, as follows:
S = 37.5 x 30 + 42.5 x 20 + 47.5 x 15 + 52.5 x 13 + 57.5 x 22 = 4635.
The total number of students is given as follows:
30 + 20 + 15 + 13 + 22 = 100.
Hence the mean is calculated as follows:
Mean = 4635/100 = 46.35.
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Given f(x)=x+2 and g(x)=4-x^2 find the following (g o f)(x)
Answers
Given functions are
\(\begin{gathered} f(x)=x+2 \\ g(x)=4-x^2 \end{gathered}\)Then,
\(\begin{gathered} (g\circ f)(x)=g(f(x)) \\ =g(x+2) \\ =4-(x+2)^2 \\ =4-(x^2+4x+4) \\ =4-x^2-4x-4 \\ =-(x^2+4x) \end{gathered}\)Thus,
\((g\circ f)(x)=-(x^2+4x)\)Could someone please help me score 8/8 on this question? I know the answer, but I can't get 8/8 yet.
StarWatch Camping Site
Charge per person: £6 per night
The holiday is just 9 weeks away and they
each plan to save £13 per week from now
until their holiday.
Will they save enough money to cover all
their camping site charges?
If the answer is 'yes' say how much extra
money they will save.
You must show all your working.
Tent pitch:
(ground surface)
<10 m' at £15 per night
> 10 m² at £18 per night
Special offer: For every 5 nights you
stay, only pay for 4.
Lila and Wassim are planning a stay
at the StarWatch camping site.
They will:
• share a tent between them,
• both stay for a total of 10 nights,
• use a tent with a rectangular base
measuring 2.3 by 4.2 metres.
Answers
Based on the information provided, it can be concluded they will not save enough money to cover their camping site charges.
How much money do they need?Charge per person: 6 (charge per person) x 2 = 12 x 10 (number of days) = 120
Tenth charge per night: 18 x 8 (They will stay for 10 days but due to the offer pay for 4 nights if you stay 5, they will pay only 8 nights) = 144
Total: 264
How much money will they save?13 x 9 weeks = 117 x 2 (two people are saving) = 234
Based on this, the amount of money they will save is not enough as they will need $30 more to cover their expenses.
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can someone help me solve this system. thanks
2y = 6
3(x + y) = 12
Answers
Answer
y=3 x=1
Step-by-step explanation:
3(x+3)=12
3x+9=12
subtract 9 from both sides to get...
3x=3
divide 3 from both sides to get...
x=1
Step-by-step explanation:
this is very easy
2y=6
y=2/6=3
so ,
3(x+y)=12
3x+3y=12
3x+3+3=12
3x+9=12
3x=12-9
3x=3
x=3/3
x=1
Given the graph below, determine the values for a and b in the equation y=blog3(x+a). If a value is a non-integer then type it as a reduced fraction.
Answers
The values of b and a for the logarithmic function in this problem are given as follows:
a = -4.b = -2.1.How to define the logarithmic function?The logarithmic function in the context of this problem has the format given as follows:
\(y = b\log_3{x + a}\)
The vertical asymptote is at x = -4, hence:
\(y = b\log_3{x - 4}\)
When x = 5, y = -1, hence the parameter b is obtained as follows:
\(-1 = b\log_3{5 - 4}\)
0.477b = -1
b = -1/0.477
b = -2.1.
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The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratios of their areas.
1) 3:1
2) 7/4
Answers
The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,
To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.
1) So, perimeter = 3:1
The ratio of areas between two similar polygons is equal to the square of the scale factor.
Since the scale factor is 3:1, the ratio of their areas is:
(Ratio of areas) = (Scale factor)² = 9/1 = 9:1
Similarly,
2) Perimeter = 7:4
Area = 49/16
Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.
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Which story problem can be answered using this equation?
A.
Liza organizes of her book collection onto 12 different shelves. Two of the shelves are full. How many books are on the remaining shelves?
B.
Kyle has a piece of wood that is of a meter long. He divides it into 12 equal parts and uses 2 parts for a project. How many meters of wood does he use for his project?
C.
There is of a gallon of lemonade. Pat equally pours this lemonade into 3 cups. Two of the cups spill. How much lemonade remains in the cups?
D.
Korey divides off a box of cereal into 3 equal piles. She gives away 2 of the piles, and keeps the rest for herself. How much
Answers
Option B. B. Kyle has a piece of wood that is ⅓ of a meter long. He divides it into 12 equal parts and uses 2 parts for a project. How many meters of wood does he use for his project?
How to solve for the equationThe equation referred to in the question is not given, but based on the information provided in the problem, it seems like it may be:
Length of each part = (Total length of wood)/(Number of parts)
Using this equation, we can find the length of each part:
Length of each part = (1/3 m) / 12 = 0.0278 m
Kyle uses 2 parts for his project, so the total length of wood he uses is:
Total length used = 2 * 0.0278 m = 0.0556 m
Therefore, Kyle uses 0.0556 meters of wood for his project.
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A ladder is leaning against a vertical wall makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. Find the length of ladder (Round to the nearest whole number).
If you choose the 20 degree acute angle, the distance between the foot of the ladder and the wall represents the [Select] leg. Since we are given the [Select] leg and solving for the hypotenuse, we need to use [Select] to solve for the length of the ladder. The length of the ladder when solved is [Select] meters.
Options for blank #1: adjacent, opposite, hypotenuse
Options for blank #2: adjacent, opposite, hypotenuse
Options for blank #3: sine, cosine, tangent
Options for blank #4: 3, 1, 9, 4
Answers
The length of the ladder is approximately 3 m. The correct option is the first option 3
Calculating the length of a ladderFrom the question, we are to calculate the length of the ladder.
From the given information,
The ladder makes an angle 20° with the ground
and
The foot of the ladder is 3 m from the wall
This scenario gives a right triangle where the hypotenuse is the ladder and the adjacent is the distance of the foot of the ladder from the wall.
Let the length of the ladder be x
Thus,
Using SOH CAH TOA
We can write that
cos 20° = 3 / x
x = 3/(cos 20°)
x = 3.19
x ≈ 3 m
Hence, the length is approximately 3 m
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Find the value of x and the length of BC.
Answers
Find the solution to the system. Write your solution as an ordered pair
(x,y) with no spaces, no solution, or infinitely many. 5x+4y=-34 and y=3x
Answers
(P(x)y
′
)
′
+(f(x)y)
′
=0 where f(x) is to be determined in terms of P(x),Q(x), and R(x). The latter equation can be integrated once immediately, resulting in a first-order linear equation for y that can be solved as in Section 2.1. By equating the coefficients of the preceding equations and then eliminating f(x), show that a necessary condition for exactness is P
′′
(x)−Q
′
(x)+R(x)=0. It can be shown that this is also a sufficient condition. In each of Problems 32 through 34 , use the result of Problem. 31 to determine whether the given equation is exact. If it is, then solve the equation. 32. y
′′
+xy
′
+y=0
Answers
To determine whether the given equation y'' + xy' + y = 0 is exact, which states that P''(x) - Q'(x) + R(x) = 0. condition is satisfied, the equation is exact.
For the equation y'' + xy' + y = 0, we can compare it with the general form of the equation derived : P(x)y'' + Q(x)y' + R(x)y = 0. By comparing the coefficients, we can equate them to identify the functions P(x), Q(x), and R(x).
In this case, we have P(x) = 1, Q(x) = x, and R(x) = 1. To check if the necessary condition for exactness is satisfied, we substitute these values into the condition: P''(x) - Q'(x) + R(x) = 1'' - x' + 1 = 0. Simplifying further, we have P''(x) - Q'(x) + R(x) = 0 - 1 + 1 = 0.
Since the necessary condition is satisfied, we conclude that the given equation y'' + xy' + y = 0 is exact. Therefore, we can proceed to solve it. To solve a first-order linear exact equation, we can find a function u(x) such that u(x) satisfies the equation du/dx = P(x). In this case, u(x) = x^2/2 will suffice.
By multiplying the equation by u(x) = x^2/2, we obtain the exact equation x^2/2y'' + xy' + x^2/2y = 0. Integrating the equation once, we get (x^2/2)y' + (x^2/2)y = C, where C is the constant of integration. This is a first-order linear equation that can be solved using standard techniques.
By applying an integrating factor of e^(x^2/4), we can simplify the equation to (e^(x^2/4)y)' = Ce^(x^2/4). Integrating both sides, we obtain e^(x^2/4)y = C∫e^(x^2/4)dx, which can be solved to find the expression for y.
In conclusion, the given equation y'' + xy' + y = 0 is exact, and its solution can be found using the outlined method.
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2 apples cost 2 dabloons.
How much does 1 apple cost
Answers
PLEASE HELP. WILL GIVE BRAINLIEST AND 5.0 STAR RATING
Answers
Answer:
42.27
Step-by-step explanation:
6.5 + 5.3 + 5.3 + 7.1 + 9.7 + 1.0 + 8.0 = 42.27
for the following measurement, find the measurement that is the least accurate:
a. 208 m; b.18050 m;
c. 0.08 m; d.0.750 m; d.12.0 m.
Answers
The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.
To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.
Among the options given:
a. 208 m has three significant figures.
b. 18050 m has five significant figures.
c. 0.08 m has two significant figures.
d. 0.750 m has three significant figures.
e. 12.0 m has three significant figures.
The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.
Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.
On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.
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Solve. -7x + 29 = 6 (8+3x)
Answers
Answer:
Hi there
Your answer is
x = -.76 OR -19/25
Step-by-step explanation:
-7x +29 = 6(8+3x)
-7x +29 = 48 + 18x
-18x
-25x +29 = 48
-29
-25x = 19
/-25
x = -.76 OR -19/25
Answer:
x=-19/25 or x=-0.76
20 points help asap!!!
Find B n C Given
B
Answers
Answer:
Step-by-step explanation:
Sets B and C have nothing in common and therefore B ∩ C = empty set
Mean, mode, and median in these sets of numbers 55, 50, 73, 61, 68, 48,48
Answers
Mean = (403/7) or about 57.57
Mode = 48
Median = 55
Explanation:
Mean is (total)/(amount of values). In this case its (55+50+73+61+68+48+48)/7, which equals (403/7) or about 57.57
Mode is what value shows up the most. In this case its 48, which shows up twice, compared to the other values which only shows up once.
Median is the middle number when the values are arranged from least to greatest.
48, 48, 50, 55, 61, 68, 73
In this case if you count 3 from both sides, the center or middle is 55, which is the median.
5,5,8,8,8,9,17,19,19,19,19,22,28
2. What are the median and mode of the
data?
The median is
The mode is .
(Type whole numbers or decimals.)
Answers
Answer:
median - 17
mode - 19
Step-by-step explanation:
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answers
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (X) and the amount of fire damage, in thousands of dollars (Y). The MegaStat output is reported below. Write out the regression equation
Answers
The regression equation for the relationship between the amount of fire damage (Y) and the distance from the fire station (X) is: Y = 5.2 + 1.8X.
The regression equation represents the relationship between the dependent variable (Y), which is the amount of fire damage, and the independent variable (X), which is the distance from the fire station. In this case, the equation is Y = 5.2 + 1.8X. This equation suggests that as the distance from the fire station increases by one unit, the amount of fire damage is expected to increase by 1.8 units.
The constant term in the equation, 5.2, represents the expected amount of fire damage when the distance from the fire station is zero. This can be interpreted as the baseline fire damage that is not influenced by the proximity to the fire station. The coefficient of 1.8 indicates the change in fire damage for each unit increase in the distance from the fire station.
By utilizing this regression equation, Waterbury Insurance Company can estimate the amount of fire damage based on the distance from the nearest fire station. This information will aid them in setting appropriate insurance coverage rates that account for the potential risk associated with different distances from fire stations.
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How many olution doe the equation for Charle’ tree have? That i, how many coordinate pair make the equation true?
Answers
(a) Many solutions, (b) The x coordinate of the solution represents the value of the time in the years which can be fractional also. And the yy coordinate of the solution represents the height of the tree in feet. (c) Single solution.
(a) Let y represent the height of the plant, and x represents the number of years. Then we can represent Charle's equation as y=1.5x+3. Each solution of this equation will give coordinates of x and y which gives the height yy of the tree in any year x.
Therefore, there can be infinite solutions possible for this equation as the x and y can take all positive real values as input and output.
Similarly, we can represent Amy's equation as y=1.75x, and it can also have many solutions, which means, corresponding to each year, we will get a unique height. Practically a year can carry all real values greater than 0; therefore, the height of the tree can also offer all real values greater than 0 as output.
(b) The x coordinate of the solution represents the value of the time in the years which can be fractional also. And the y coordinate of the solution represents the height of the tree in feet.
(c) There is only a single solution to both Charle's and Amy's equations because their lines on the graph intersect each other only at one point (12,21).
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--The given question is incomplete; the complete question is
"Explore the meaning of solutions to the Planting Trees problem by answering these questions: a. How many solutions does the equation for Charle's tree have? That is, how many coordinate pairs make the equation true? How many solutions does the equation for Amy's tree have? b. In the context of the Planting Trees situation, what is the meaning of a solution to Charles's equation? c. How many (x, y) coordinate pairs are solutions to both Charles's and Amy's equations? How can you tell by looking at a graph?"--
Mechanical energy is as much of potential and kinetic energy. Mechanical energy is never lost but only transformed from one form to another. As long as all the mechanical energy is as much as the potential energy then the kinetic energy is 0J. The mechanical energy of an object is found by summing its potential energy and kinetic energy.
Answers
just a lil some some so please help me
Answers
Answer:
The answer to this is agree . Hope it helps.
Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of μ-247/n and a standard deviation of σ= 1.2 in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) s 0.01 and a value is significantly low if P(x or less)s 0.01 Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 27.1 in significantly high? Find the back-to-knee lengths separating significant values from those that are not significant.
Answers
The back-to-knee lengths separating significant values from those that are not significant can be determined using the z-score corresponding to the given significance level.
For a significance level of 0.01, we need to find the z-score that corresponds to the area of 0.99 in the standard normal distribution table.
Using the z-score formula: z = (x - μ) / σ, where x is the back-to-knee length, μ is the mean, and σ is the standard deviation, we can rearrange the formula to solve for x:
x = z * σ + μ
For a significance level of 0.01, we want to find the z-score that gives us a cumulative probability of 0.99. Looking up the z-score for a cumulative probability of 0.99 in the standard normal distribution table, we find it to be approximately 2.33.
Now we can calculate the back-to-knee lengths separating significant values:
Significantly high value: x_high = 2.33 * 1.2 + μ - 247/n
Significantly low value: x_low = -2.33 * 1.2 + μ - 247/n
To determine if a back-to-knee length of 27.1 inches is significantly high, we compare it with x_high. If 27.1 inches is greater than x_high, it would be considered significantly high; otherwise, it would not be.
The specific back-to-knee length separating significant values from those that are not significant depends on the value of μ and n. Without knowing the values of μ and n, we cannot determine the exact back-to-knee lengths. However, using the provided criteria with a significance level of 0.01, we can calculate the back-to-knee lengths separating significant values by considering the z-score.
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use what you know about prisms to describe a pentagonal prism. include information about faces, edges, and vertices in your description.
Answers
A pentagonal prism is a prism with two parallel pentagonal faces connected by five rectangular faces. It has a total of 10 faces, 15 vertices, and 10 edges.
A pentagonal prism is a type of prism that has two parallel and congruent pentagonal faces connected by rectangular faces that are perpendicular to the pentagonal faces. The pentagonal faces serve as the base and top of the prism, while the rectangular faces form the sides of the prism.
A pentagonal prism has a total of ten faces, consisting of two pentagonal faces, five rectangular faces, and ten edges. The pentagonal faces each have five sides and five vertices, while the rectangular faces have four sides and four vertices.
Therefore, a pentagonal prism has a total of 15 vertices, which are formed by the intersection of the edges of the pentagonal and rectangular faces.
The edges of the pentagonal prism are straight lines that connect the vertices of the pentagonal and rectangular faces. There are 10 edges in total, with five of them forming the perimeter of the pentagonal faces, and the other five forming the perimeter of the rectangular faces.
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5. Oshaunda buys a car that costs $21,000. It depreciates at 8.2% per year. a. Write an equation for the value of the car. V=21,000(1-0.082) V-21,000(0.918) B. Oshaunda tries to sell the car 4 years later. What is the car worth when it is 4 years old? Hint: Use your formula for part (a), and plug in t = 4. Use GEMA to finish the math.
Answers
Answer:
a.
\(f(t) = 21000( {.918}^{t} )\)
b.
\(f(4) = 21000( {.918}^{4}) = 14913.86\)
7-^3
Simplify this expression. Use 7 as the base.
Answers
