Histograms are commonly used to visualize the distribution of a dataset by grouping the data into bins and representing the frequency of each bin by the height of a bar.
They are useful for observing the spread or variability of the data and determining the shape of the data, such as whether it is symmetrical or skewed. They cannot be used to observe individual data points, but they provide a good visual representation of the overall pattern of the data. Histograms are not appropriate for multiple choice questions as they do not display individual data points in a clear manner. To display parts of a whole, pie charts are a better choice as they show the proportion of each category as a sector of a circle
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Type the correct answer in each box. A group of 150 people were surveyed and asked these statistical questions: Who is your favorite superhero: Super Bro, Flying Mouse, or the Black Bandit? Do you prefer to watch movies at home or at a movie theater? The results of the survey show 48 people think of Super Bro as their favorite superhero. Of the 48 people, 18 said they prefer to watch movies at the theater. Black Bandit was the most popular super hero with 85 votes. Of the 85 people surveyed, 27 said they’d prefer to watch movies at home. Only 17 people said Flying Mouse was their favorite superhero, and 7 people prefer to watch movies at the theater. Complete the two-way frequency table with the appropriate data. Super Bro Flying Mouse Black Bandit At Home At a Theater
Please find attached the table that contains the answers.
Respondents can be divided based on their favorite superhero film and the method they like to watch the film.
There are three types of favorite superhero films:
Super BroFlying MouseThe Black BanditThere are two ways respondents like to watch the film
At homeIn the Cinema.For each type of film, the number of respondents that watch the movie at home or in the theatre has to be determined.
Total number of respondents whose favorite movie is Super Bro = 48
Respondents who watch it at home = 18
Respondents who watch it at the theater = 48 - 18 = 30
Total number of respondents whose favorite movie is Flying Mouse = 17
Respondents who watch it at home = (17 - 7) = 10
Respondents who watch it at the theater = 7
Total number of respondents whose favorite movie is the Black Bandit = 85
Respondents who watch it at home = 27
Respondents who watch it at the theater = (85 - 27) = 58
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Answer:
Out of the 48 Super Bro fans, 18 prefer watching movies at a theater. Subtract to find the number of people who prefer watching movies at home: 48 − 18 = 30. So, in the Super Bro column, put 30 in the At Home row and 18 in the At a Theater row.
Of the 85 Black Bandit fans, 27 prefer watching movies at home. Subtract to find the number of people who prefer watching movies at a theater: 85 − 27 = 58. So, in the Black Bandit column, put 27 in the At Home row and 58 in the At a Theater row.
Of the 17 Flying Mouse fans, 7 prefer to go to a theater to watch movies. Subtract to find the number of people who prefer going to a theater: 17 − 7 = 10. So, in the Flying Mouse column, put 10 in the At Home row and 7 in the At a Theater row.
rumor starts spreading across the town of 10,000 people according to a logistic law. By noon (12pm), 4,000 people hear the rumor. How many people will hear it by 5pm
We can estimate that B × T is roughly 0.57, or equivalently, T is roughly 0.57 / B.
Assuming that the rumor spreads according to the logistic law, we can use the following formula to estimate the number of people who will hear the rumor by 5 pm:
\(P(t) = K / (1 + A \times e^{(-B\times t)})\)
where:
P(t) is the number of people who have heard the rumor by time t,
K is the maximum possible number of people who can hear the rumor (in this case, the total population of the town, which is 10,000),
A and B are constants that determine the shape of the logistic curve, and
e is the mathematical constant approximately equal to 2.71828.
To solve for A and B, we need to use the information given in the problem. We know that at noon, 4,000 people have heard the rumor. Let's assume that "noon" corresponds to t=0 (i.e., we start counting time from noon). Then we have:
\(P(0) = 4,000 = K / (1 + A \times e^{(-B\times 0)})\)
4,000 = K / (1 + A)
1 + A = K / 4,000
We also know that the logistic law predicts that the number of people who hear the rumor will eventually level off and approach the maximum value K. Let's assume that the leveling off occurs after a long time T (which we don't know). Then we have:
P(T) = K
We can use these two equations to solve for A and B:
A = (K / 4,000) - 1
B = ln((K / 4,000) / (1 - K / 4,000)) / T
where ln denotes the natural logarithm.
Unfortunately, we don't know the value of T, so we can't calculate B directly. However, we can make an educated guess based on the shape of the logistic curve. Typically, the curve starts out steeply and then levels off gradually. Therefore, we can assume that the time it takes for the curve to reach 90% of its maximum value is roughly equal to T. In other words, we want to solve for T such that:
\(P(T) = 0.9 \times K\)
Substituting the expression for P(t) into this equation, we get:
\(0.9 \times K = K / (1 + A \times e^{(-BT)})\\0.9 = 1 / (1 + A \times e^{(-BT)})\\1 + A \times e^{(-BT)} = 1 / 0.9\\A \times e^{(-BT)} = 1 / 0.9 - 1\\e^{(-B\times T)} = (1 / 0.9 - 1) / A\\B \times T = -ln((1 / 0.9 - 1) / A)\)
Plugging in the values for K and A, we get:
A = (10,000 / 4,000) - 1 = 1.5
\(B \times T = -ln((1 / 0.9 - 1) / 1.5) = 0.57\)
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Which ordered pairs are solutions to this system of inequalities?
9514 1404 393
Answer:
c, d, e
Step-by-step explanation:
The first two listed points are not in the solution set. The remaining three are.
__
Any point in the doubly-shaded area, or on the solid boundary line of that area is part of the solution set. Points (-1, -6), (0, -5), and (0.5, -2) are solutions to the given inequalities.
The density of gold is 19.3 g/cm3. What is this value in kilograms per cubic meter? a. 193×104 kg/m3
b. 1.93×104 kg/m3
c. 19.3×104 kg/m3
d. 1.93 kg/m 3
2.) The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L=1000 cm 3
and 1in. =2.54 cm. a. 5.36 L b. 4.36 L c. 3.36 L d. 6.36 L 3.) If an object accelerates with a constant acceleration of 4 m/s 2
for 1 hour, its velocity will be: a. 14.4 km/s b. 17.28 km/s c. 1.44 km/s d. 1.728 m/s
The density of gold is 19.3 g/cm³. To convert this value to kilograms per cubic meter, we need to multiply it by 1000 (since there are 1000 grams in a kilogram) and by 100³ (since there are 100 centimeters in a meter and we are converting from cubic centimeters to cubic meters). Therefore, the answer is (c) 19.3 × 10^4 kg/m³.
The displacement of the engine in the 1963 Chevrolet Corvette Sting Ray is given as 327 cubic inches. To convert this to liters, we can use the given conversion factors: 1 L = 1000 cm³ and 1 in. = 2.54 cm. First, we convert cubic inches to cubic centimeters by multiplying by (2.54 cm)³, and then we convert cubic centimeters to liters by dividing by 1000. The calculation is as follows: (327 in³) × (2.54 cm/in)³ ÷ 1000 cm³/L = 5.36 L. Therefore, the displacement of the engine is (a) 5.36 L.
When an object accelerates with a constant acceleration of 4 m/s² for 1 hour, we need to determine its final velocity. To do this, we can use the equation: v = u + at, where v is the final velocity, u is the initial velocity (assumed to be 0 m/s since the object starts from rest), a is the acceleration, and t is the time. Plugging in the given values, we have v = 0 + (4 m/s²) × (3600 s). Simplifying this, we get v = 14,400 m/s. However, we need to convert this velocity to kilometers per second. There are 1000 meters in a kilometer and 3600 seconds in an hour. Therefore, the final velocity is 14,400 m/s ÷ 1000 ÷ 3600 = 0.04 km/s. Hence, the answer is (c) 1.44 km/s.
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I need the answer to this question for my math homework
−3 = x −11
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
-3 = x - 11
Step 2: Solve for x
Add 11 to both sides: 8 = xRewrite x = 8Step 3: Check
Plug in x to verify it's a solution.
-3 = 8 - 11
-3 = -3
Answer:
X = 8
Step-by-step explanation:
8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.
Good luck!
A factory produces 1258 toys in a day. How many toys will the factory produce in a year?
Answer:
459170
Step-by-step explanation:
Since there are 365 days in a year, the factory will produce 1258 * 365 = 459170 toys in a year.
Answer:
459170
Step-by-step explanation:
the factory will produce in a year:1258*365=459170 toys
solve h(x)=x^2-2x-8>7
Answer:
x < -3 and x > 5
Step-by-step explanation:
x² - 2x - 8 > 7
~Rewrite in standard form
x² - 2x - 15 > 0
~Factor
(x + 3)(x - 5) = 0
~Solve for both factors
x + 3 = 0
x = -3
x - 5 = 0
x = 5
Best of Luck!
HELP DUE IN 10 MINUTES!!!!!
Two step equations word problems
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
1. Write an equation to determine the total number of questions (q) on Tim's math test.
2. Find the total number of questions on his math test.
Let the number of accurate answers provided by Tom equal x.
The number of incorrect responses is ten.
Tim receives 4 marks for each right answer.
Marks deducted for wrong answers = 0.
Total Points = 76
When all of the above statements are combined, the equation
76 = 4 x + 10 * 0
4 x = Equals 76.
19 = x
The number of correct answers is 19
The number of incorrect responses equals ten.
Total number of questions = 19 + 10 = 29
Smallest to biggest. 0.43,3/7,43.8%,7/16
Answer: 3/7 (Smallest), 0.43, 7/16, 43.8% (largest)
Step-by-step explanation:
0.43
3/7 = 0.4286
43.8% = 0.438
7/16 = 0.4375
HELPPPPPPPPPPPPPPPPPPPPPP
Answer: 0.073 < 0.73
In the word HAWKS, how many ways is it possible to rearrange the letters if
none repeat and the letter Winust go last?
Answer:
The
ANswer
iS
24
Step-by-step explanation:
You
are
welcome!
The number of total ways when none of the letters repeat will be 120.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
The factor of n is given as the production of the number n, (n - 1), (n - 2)... and 1. Then the factorial of n is given as
n! = n x (n - 1) x (n - 2) x ... 3 x 2 x 1
The word HAWKS is given In the word, there are 5 letters.
Then the number of total ways is given by the 5 factorial. Then we have
⇒ 5!
⇒ 5 x 4 x 3 x 2 x 1
⇒ 120
The number of total ways when none of the letters repeat will be 120.
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Andy says if a triangle has two 45 degree angles then the third triangle has to be less than 90 degrees. Miguel does not agree with Andy. Why might Miguel not agree with Andy? Who is correct, and why?
Answer:
Miguel, because Andy is incorrect.
Step-by-step explanation:
The Angle Sum Theorem tells you the sum of angles in a triangle is 180°. If two of the angles are 45°, the third must be 180° -45° -45° = 90°. The third angle cannot be less than 90°.
__
Miguel is correct to disagree with Andy.
a ticket broker sold 540 tickets for a concert. the number of tickets sold for this concert is 80% of the concert hall's seats. what is the total number of seats in the concert hall? psat
Answer: 432
Step-by-step explanation:
540 x 0.8
if you are good at math please help me answer all 4 please
Fuji apples grown at a certain orchard have a mean weight of 5.2 ounces with a standard deviation of 0.8 ounces. Suppose the scale the orchard owner uses systematically underweighs apples by 0.2 ounces and also weighs the apples in grams, rather than ounces. What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Answer:
Mean 140 grams
Standard deviation 22.4 grams
Step-by-step explanation:
What would the mean and standard deviation of these apples' weights be as determined by this scale? (Note: 1 ounce ≈ 28 grams).
Mean = 5.2 ounces.
First step would be to convert from ounces to grams
1 ounce = 28 grams
5.2 ounces =
5.2 ounces × 28 grams
= 145.6 grams
He underweighs by 0.2 ounces
We convert this too
1 ounce = 28 grams
0.2 ounce =
0.2 ounce × 28 grams
= 5.6 grams.
The new mean weight of the Fuji apples is grams = 145.6 grams - 5.6 grams = 140 grams.
Standard Deviation = 0.8 ounces.
Even though he underweighed that apples by 0.2 ounces, there has minimal effect on the standard deviation of the apples.
Hence, the standard deviation if the apples in grams =
1 ounce = 28 grams
0.8 ounce =
0.8 ounce × 28 grams
= 22.4 grams
4²times 4² is ? Explain how you know and simplify please
Answer:
For me, it always helps to break down equations like this. Divide it up into two separate parts.
4^2*4^2=x
4^2=16
Replace both 4^2 with 16
16*16=256
the sum of three numbers is 87. the second number is 2 times the third. the first number is 5 less than the third. what are the numbers?
The required numbers are 18,46 and 23.
This problem requires the idea of linear equation of 1 variable.
To clear up the linear equation we also need to recognize the BODMAS policies and the way to solve algebraic equations.
in this query the sum of the 3 numbers is 87.
let us count on that the third variable be x.
the second one variable is 2x.
The first variable is (x-5).
Now according to the question,
\((x-5)+2x+x=87\)
⇒ \(4x-5=87\)
⇒ \(4x=87+5\)
⇒\(4x=92\)
⇒ \(x=\frac{92}{4}\)
∴ x=23
So, the third number is 23.
The second number is 2x i.e., 46.
The first number is (x-5) i.e., 18.
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Find the number that makes the ratio equivalent to 2:4
16:
a jet airliner travels 1680 miles in 3 hours with a tail wind. the return trip, into the wind, takes 3.5 hours. write a system of equations whose solution is the ground speed of the airplane and the wind speed.
A system of equation is 1680mi3hr = p−w×600×2hr -p + w for a jet airliner travels 1680 miles in 3hours with a tail wind.
Let p be the speed of the jet airliner
and w be the speed of the tail wind
It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get
1680mi3hr = p−w×600×2hr = p + w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation, we use
200mph = p - w
Add w to both sides:
p = 200mph + w
Using the value of x, we can found the value of w using system of equations.
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
On dividing by 2:
50mph = w
So the speed of the tail wind is 50mph.
Therefore, 200mph = p - 50mph
Add 50mph on both sides:
250mph = p
Hence, speed of jet airliner is 250mph.
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What is the slope of a line that goes through the following 2 points?
(-4,7) (-6,-4)
Answer:
here u go
Step-by-step explanation:
m= 11/2
Answer:
\(5 \frac{1}{2}\)
Step-by-step explanation:
The slope of the line is given by \(\frac{\Delta y}{\Delta x} = \frac{(-4) - (7)}{(-6) - (-4)} = \frac{-11}{-2} = 5 \frac{1}{2}.\)
If vladivostok has a longitude of 132 degrees east, what is the standard meridian for vladivostok?
the standard meridian for vladivostok is 120 degrees east
The standard meridian for Vladivostok would be the line of longitude that corresponds to the local mean time of the city. To determine the standard meridian, you need to consider the time zone of Vladivostok.
Vladivostok is located in the UTC+10 time zone. Each time zone typically spans 15 degrees of longitude. Since Vladivostok has a longitude of 132 degrees east, you can calculate the standard meridian by finding the closest multiple of 15 degrees within the range of longitudes for that time zone.
To do this, you can divide 132 by 15 and round down to the nearest whole number. In this case, 132 divided by 15 equals 8.8, so rounding down gives us 8.
Therefore, the standard meridian for Vladivostok would be 8 times 15 degrees east, which is 120 degrees east.
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Please help me! I need this answer ASAP! I don’t understand how to do it
Net pay is your pay after taxes and other deductions true or false?
Answer:
True.
Step-by-step explanation:
Net pay is the amount you take home after deductions and taxes are removed from your gross pay. These subtractions from your gross pay will include federal, state and local income taxes, if applicable.
I will put brainly just helppppppppppppppppppppppppppppppppppppppppppppp
A bond with a coupon rate of 12 percent sells at a yield to
maturity of 14 percent. If the bond matures in 15 years, what is
the Macaulay duration?
The Macaulay duration of a bond is a measure of the weighted average time until the bond's cash flows are received.
To calculate the Macaulay duration, we need the bond's cash flows and the yield to maturity. In this case, the bond has a coupon rate of 12 percent, sells at a yield to maturity of 14 percent, and matures in 15 years. The second paragraph will explain how to calculate the Macaulay duration.
To calculate the Macaulay duration, we need to determine the present value of each cash flow and then calculate the weighted average of the cash flows, where the weights are the proportion of the present value of each cash flow relative to the bond's price.
In this case, the bond has a coupon rate of 12 percent, so it pays 12 percent of its face value as a coupon payment every year for 15 years. The final cash flow at maturity will be the face value of the bond.
To calculate the present value of each cash flow, we discount them using the yield to maturity of 14 percent.
Next, we calculate the weighted average of the cash flows by multiplying each cash flow by its respective time until receipt (in years) and dividing by the bond's price.
By performing these calculations, we can determine the Macaulay duration, which represents the weighted average time until the bond's cash flows are received.
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A pool cover for a circular swimming pool has a diameter of 15 feet. Which value is closest to the area, in
square feet, of the pool cover?
Answer:
i suggestions you read the question carefully and solve the question and check your soulation
A flag pole is casting a 20ft. shadow. The flag pole measures 16 ft. Find the Angle of elevation of the sun.
Let's see
tanØ=16/20tanØ=4/5tanØ=0.8Ø=53°Answer:
53 the correct answer off your question.
John mows 3 of his neighbors yards for $20 a yard. How much money did he make?
Answer:
60
Step-by-step explanation:
Answer:
The answer is $60
Step-by-step explanation:
If each yard earns John $20, and John cuts 3 yards, then John earns $60.
3 • 20 = 60
if the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score e(x y)?
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y).
e(x+y)
e = expected
x = points earned on part 1
y = points earned on part 2
So, the expected recorded score is the total of points earned on both parts: e(x+y).
The expected recorded score in a grade book is the total amount of points earned on both parts of the assignment. This is written as e(x+y), where e stands for expected, x is the points earned on part 1, and y is the points earned on part 2. Therefore, the expected recorded score is the sum of the points earned on both parts, e(x+y). This formula is useful for quickly calculating the total score of an assignment, allowing the grade book to be updated quickly and accurately.
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Are x and xlike terms? Explain your answer.
Answer:
they are both variables so yes