Answer:
-3/2
Step-by-step explanation:
Captain Ishaan has a ship, the H.M.S. Khan. The ship is two furlongs from the dread pirate Luis and his merciless band of thieves. The Captain has probability \dfrac{4}{5} 5 4 start fraction, 4, divided by, 5, end fraction of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{7} 7 1 start fraction, 1, divided by, 7, end fraction. If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answer: [tex]\frac{4}{35}[/tex]
Step-by-step explanation: The probability of Captain Ishaan hitting the pirate's ship is:
P(A) = [tex]\frac{4}{5}[/tex]
The probability of the pirate hitting Captain's ship is:
P(B) = [tex]\frac{1}{7}[/tex]
So, the probability of both hitting each other is a probability of A and B occuring, which means:
P(A) . P(B) = [tex]\frac{4}{5} . \frac{1}{7}[/tex]
P(A) . P(B) = [tex]\frac{4}{35}[/tex]
The probability of both the pirate and the Captain hit each other's ship is
[tex]\frac{4}{35}[/tex] or 11.43%
Circletown's limits form a perfectly circular shape. It has a population of 20{,}00020,00020, comma, 000 and a population density of 480480480 people per square kilometer.
What is Circletown's radius?
Answer:
3.64
Step-by-step explanation:
Based on the calculations, the radius of Circletown is equal to 3.64 kilometer.
Given the following data:
Total population = 20,000.Population density = 480.How to calculate Circletown's radius?First of all, we would determine the area of Circletown by dividing the total population by its population density as follows:
Area = 20,000/480
Area = 41.67 square kilometer.
Mathematically, the area of a circle is calculated by using this formula:
Area = πr²
Where:
r is the radius of a circle.
Substituting the given parameters into the formula, we have;
41.67 = 3.142 × r²
r² = 41.67/3.142
r = √13.26
r = 3.64 kilometer.
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JK has endpoints at J(0, 7) and K(10, –10). Find the midpoint M of JK.
Step-by-step explanation:
Midpoint=(X1+X2/2,y1+y2/2
[(0+10)/2,(7-10)/2]
(5,-3/2)
what is 0.07 as a percent
Answer:
7%
Step-by-step explanation:
To work this out you would simply multiply 0.07 by 100, which gives you 7. This is because percentages are out of 100.
Answer: 7%
Step-by-step explanation:
A bag contains 3 red marbles, 5 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be blue?
Answer:
0.027 to the nearest thousandth.
Step-by-step explanation:
There are 14 marbles in the bag, so:
Prob( a blue on the first draw) = 5/14.
Prob( a blue on the 2nd draw) = 4/13.
Prob( a blue on the 3rd draw) = 3/12 = 1/4.
So the required probability is 5/14 * 4/13 * 1/4
= 20/ 728
= 0.02747.
To calculate the probability of drawing three blue marbles without replacement, multiply the probabilities of drawing a blue marble in each draw. The final probability to the nearest thousandth is approximately 0.043.
Explanation:To find the probability that all three marbles drawn will be blue, we use the formula for calculating the probability of successive independent events (drawing without replacement). We calculate the probability of drawing a blue marble each time and then multiply these probabilities together.
The probability of drawing the first blue marble: P(B1) = 5/14 (since there are 5 blue marbles out of 14 total marbles).After drawing the first blue marble, there are now 4 blue marbles and 13 total marbles left. Thus, the probability of drawing the second blue marble: P(B2 | B1) = 4/13.After drawing the second blue marble, there are 3 blue marbles and 12 total marbles left. The probability of drawing the third blue marble: P(B3 | B1 and B2) = 3/12 or 1/4.To get the overall probability of drawing three blue marbles in a row, we multiply these individual probabilities together: P(all three blue) = P(B1) * P(B2 | B1) * P(B3 | B1 and B2) = (5/14)*(4/13)*(1/4).Calculating this, we get approximately 0.043 when rounded to the nearest thousandth. So, the probability that all three marbles drawn will be blue is 0.043.
Rewrite 0.62 as a fraction in lowest terms.
Answer: 31/50
Step-by-step explanation: 0.62= 62/100. After we must find the Greatest Common Factor which is two.
62/2=31 100/2=50
Answer:
31/50
Step-by-step explanation:
The mass a book 150 is grams on Earth. What would the mass be on Mars? Why?
Answer:
Mass on mars is 150 grams.
Step-by-step explanation:
We have, mass of a book is 150 grams on the surface of Earth. The amount of matter contained in it is called its mass.
Mass of an object remains constant always. Its value is same in every location.
If the mass of a book on the surface of Earth is 150 grams, then its mass on Mars is also 150 grams. This is because, mass of an object is independent of its location.
Para preparar una empanada hay que añadir, entre otros ingredientes, 1/4 kg de atún, 1/6 kg de cebolla, 1/8 kg de pimiento rojo y 2/5 kg de tomates. a) Para una fiesta queremos llevar seis empanadas, ¿qué cantidad de cada ingrediente necesitaremos? b) Con 2 kg de pimiento rojo, ¿cuántas empanadas podríamos hacer?
Answer:
a. 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes
b. 16 empanadas
Step-by-step explanation:
Since each of these ingredients is needed and the recipe is for a single empanada, each ingredient in the recipe must be multiplied by 6 since they are 6 empanadas, like this:
1/4 kg tuna * 6 = 6/4 = 3/2 kg tuna
1/6 kg of onion * 6 = 6/6 = 1 kg of onion
1/8 kg of red pepper * 6 = 6/8 = 3/4 kg of red pepper
2/5 kg of tomatoes * 6 = 12/5 kg of tomatoes
Therefore 1.5 kg of tuna, 1 kg of onion, 0.75 kg of red pepper and 2.4 kg of tomatoes need it.
Now, with 2 kg of red pepper, what we should do is divide this quantity by the quantity for a recipe, like this:
2 / (1/8) = 16
that is to say that with 2 kg of red pepper, a total of 16 empanadas would be made
Solve 2x² = 72 for x.
Answer:
72
Step-by-step explanation:
Divide x2 x 2 by 1 1 . Divide 72 72 by 2 2 . Take the square root of both sides of the equation to eliminate the exponent on the left side. The complete solution is the result of both the positive and negative portions of the solution.
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
The total number of pages that he read will be 210 pages.
Based on the equation given, the equation to represent Amir's information will be:
y = 35 × x
y = 35x
Jesse's equation will be:
y = 30(x + 1)
Then, we'll equate both equations together. This will be:
35x = 30(x + 1)
35x = 30x + 30
35x - 30x = 30
5x = 30
x = 30/5
x = 6
Therefore, the number of pages read will be:
y = 35x
y = 35 × 6
y = 210 pages.
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A scientist is working with 9 meters of gold wire. How long is the wire in millimeters?
Be sure to include the correct unit in your answer.
Answer:
The length of the wire in millimeters is 9 × 10² mm.
Step-by-step explanation:
1 meter is equal to 1000 millimeters. This is the ratio that we use to convert a length in meters to one in millimeters.
0.9 m × (1000 mm/ 1 m) = 900 mm = 9 × 10² mm (we round off to 1 significant figure)
What fraction is equivalent to 5.1? is a rationalk number? Explain.
Answer:
5.1 is rational because it can be expressed in the form of a fraction. In proper form the fraction is 5 1/10 and in improper form it is 51/10.
Step-by-step explanation:
A book is chosen randomly Complete the steps to find
the probability that the book is nonfiction given that it is
hard-covered
n
1 Find the probability that a chosen book is
nonfiction and hard-covered. PNH) =
2 Find the probability that a chosen book is hard-
covered. P(H) = 1
3. Calculate the conditional probability
PN n H
Answer:
1) 4/20
2) 11/20
3) 4/11
Step-by-step explanation:
Answer:
A, D, A or 4/20, 11/20, 4/11
Step-by-step explanation:
i just did it on edge and it was correct
Number 17 pls help me for 13 points !!
Answer:
xfgfjfgxjfgj
Step-by-step explanation:gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
Use slope or the distance formula to determine the most precise name for the figure A(-1,-4) B(-1,-1) C(4,1) D(2,-2)
a) kite
b)trapezoid
c)sqaure
d)rhombus
Final answer:
After calculating distances between each pair of points and evaluating the properties of the resulting figure, it has been determined that the most precise name for the figure is a kite. This is due to the specific lengths of its sides and diagonals and their relationship to one another, which fits the definition of a kite.
Explanation:
To determine the most precise name for the figure formed by points A(-1,-4), B(-1,-1), C(4,1), and D(2,-2), we need to calculate the distances between each pair of points (sides of the figure) and evaluate their slopes where applicable.
AB = √(((-1)-(-1))^2 + ((-1)-(-4))^2) = 3
BC = √((4-(-1))^2 + (1-(-1))^2) = √(25 + 4) = √29
CD = √((4-2)^2 + (1-(-2))^2) = √(4 + 9) = √13
DA = √((2-(-1))^2 + ((-2)-(-4))^2) = √(9 + 4) = √13
AC (diagonal) = √((4-(-1))^2 + (1-(-4))^2) = √(25 + 25) = √50
BD (diagonal) = √((2-(-1))^2 + ((-2)-(-1))^2) = √(9 + 1) = √10
With sides AB and CD equal and AD and BC equal, and none of the sides being equal to each other, and considering two unequal diagonals, we can conclude that this figure is a kite, given that a kite has two pairs of adjacent sides that are equal but not all sides are equal and the diagonals are of different lengths.
The data set below has 6 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
8, 6, 6, 18, 17, 11
Calculate the mean of the data set, find the absolute deviation of each data point, and then average those deviations. For this data set, the mean absolute deviation is 4.33.
Explanation:To start off with, the mean absolute deviation is a measure of the dispersion or spread that represents the average difference between the values of the data set and the mean (average).
First, add up all the numbers of the data set. So, 8 + 6 + 6 + 18 + 17 + 11 = 66. Then divide this sum by the number of values (6) to calculate the mean (average). So, 66 ÷ 6 = 11.
Next, find the absolute deviation of each number in the set by subtracting the mean from each number and taking absolute value: |8-11|, |6-11|, |6-11|, |18-11|, |17-11|, |11-11|. This gives us: 3, 5, 5, 7, 6, 0.
Add these absolute deviations: 3 + 5 + 5 + 7 + 6 + 0 = 26. Then divide it by the count of the numbers in the data set (6). So, 26 ÷ 6 = 4.33, which is your mean absolute deviation to two decimal places.
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Final answer:
To find the mean absolute deviation for the data set 8, 6, 6, 18, 17, 11, you first calculate the mean of these numbers, then find the absolute deviations from this mean, and finally calculate the mean of those absolute deviations, which is approximately 4.33.
Explanation:
The student is asking how to find the mean absolute deviation (MAD) for a data set. The data set provided is 8, 6, 6, 18, 17, 11. To calculate the MAD, we first need to find the mean of the data set, then calculate the absolute deviation of each data value from the mean, and finally find the average of those absolute deviations.
Calculate the mean of the data set: (8 + 6 + 6 + 18 + 17 + 11) / 6 = 66 / 6 = 11.
Find the absolute deviation of each data value from the mean: |8 - 11| = 3, |6 - 11| = 5, |6 - 11| = 5, |18 - 11| = 7, |17 - 11| = 6, |11 - 11| = 0.
Calculate the mean of these absolute deviations: (3 + 5 + 5 + 7 + 6 + 0) / 6 = 26 / 6 = 4.33.
Hence, the mean absolute deviation for this data set is approximately 4.33.
I need help with 5 and 6!I WILL MARK YOU BRAINLIEST!!!
Answer:
5 right triangle
6 not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = 13^2
25+144 = 169
160 = 169
This is true so this is a right triangle
15^2 +16^2 = 18^2
225 +256 = 324
481 does not equal 324
This is not a right triangle
Answer:
5. Yes
6. No
Step-by-step explanation:
5. 13² = 12² + 5²
169 = 144 + 25
169 = 169
Satisfies pythagoras theorem, so it is a right angle triangle
6. 18² = 16² + 15²
324 = 256 + 225
324 = 481 (false)
Doesn't satisfy the pythagoras theorem, so it is not a right angle triangle
Find the length of the third side to the nearest tenth.
Answer: 14
Step-by-step explanation: To get the hypotenus of a triangle all you have to do is:
7 x 7 = 14
1 x 1 = 1
14 x 1 = 14
14 x 14 = 196
square root of 196 is 14
Equation form:
a² + b² = c²
7² + 1² = 14²
Sqrt(196) = 14
Estimate the square root 62 to the nearest integer!!!
Answer: 8
Step-by-step explanation: 7.874007874011811 rounded is 8
Answer:
Step-by-step explanation:
If you don't want to use a calculator, then you must know your square roots
The first step is to think, "what is the closest number to 62, that when squared rooted, it would be a whole number?"
The closest numbers would be 49 (square root is 7)and 64 (square root is 8). But 64 is wayyy closer so by knowing the square root, you can work your way down to solve.
So you know that the square will inevitably be a decimal, and that the whole number will have to be 7 ( it can't be 8 because then it'll be higher than 64) and the decimal would have to be really high, like in between 5 and 9 bc 62 and 64 are really close.
Now this is just an estimate is it doesn't have to be exact. but I'm guessing the root would be around 7.8ish (rounded to nearest tenth)
but you can have a different answer, maybe closer :)
** if anything didn't make sense pls tell me !
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale.
We have been given an image of a trapezoid. We are asked to find the area of the given trapezoid.
We will use area of trapezoid formula to solve our given problem.
[tex]A=\frac{1}{2}(a+b)\times h[/tex], where,
A = Area of trapezoid,
a and b = Parallel sides or bases of trapezoid.
h = Height of trapezoid.
We can see that one base is 45 feet. The other base would be 45 plus 15 feet that is [tex]45+15=60[/tex].
Now we will use Pythagoras theorem to find the height of the trapezoid as:
[tex]h^2=17^2-15^2[/tex]
[tex]h^2=289-225[/tex]
[tex]h^2=64[/tex]
[tex]\sqrt{h^2}=\sqrt{64}[/tex]
[tex]h=8[/tex]
[tex]A=\frac{1}{2}(45+60)\times 8[/tex]
[tex]A=(105)\times 4[/tex]
[tex]A=420[/tex]
Therefore, the area of the given trapezoid is 420 square feet.
Coach Walker’s cheerleading team needs to raise money to pay for the entry fees to the state competition. There is a $99 team fee plus an individual fee for each cheerleader. Coach Walker found that the individual fees for her 18 cheerleaders will cost a total of $818.82. Which inequality can be used to find m, the least amount of money each cheerleader needs to raise in order to pay for both the team and individual entry fees?
Final answer:
The inequality to determine the minimum amount each cheerleader needs to raise to cover the team fee and individual entry fees is m >= $50.99. This is calculated by dividing the team fee of $99 and the total individual fees of $818.82 by 18 cheerleaders, and summing those amounts.
Explanation:
The question asks to find an inequality to determine the minimum amount of money, m, each cheerleader needs to raise to cover both the team fee and individual fees. Coach Walker's cheerleading team has a total team fee of $99 and individual fees amounting to $818.82 for 18 cheerleaders.
To find the equation that expresses the total cost, we start with the total individual fee for the cheerleaders, which is $818.82. This fee needs to be divided among the 18 cheerleaders, and when added to the team fee that is split equally, it gives the amount each cheerleader should raise.
The inequality should ensure that the total amount raised by each cheerleader, m, is enough to cover both their share of the team fee and their individual fee. The equation for the team fee per cheerleader is $99 divided by 18. We can add the individual fee of $818.82 divided by 18 to this amount to find the minimum amount each cheerleader should raise.
Setting up the Inequality
First, calculate the per person cost for the team fee: $99 / 18 = $5.50 per cheerleader.
Second, calculate the per person individual fee cost: $818.82 / 18 = $45.49 per cheerleader.
Now, we add both of these to find the total minimum amount each cheerleader should raise: $5.50 (team fee per cheerleader) + $45.49 (individual fee per cheerleader) = $50.99.
The inequality that represents the minimum amount each cheerleader needs to raise is:
m >= $50.99
This inequality ensures that each cheerleader raises at least enough to cover their portion of the fees.
20 POINTS!!!!!
Shawna can paint a fence in 8 hours. Kevin can paint the same fence in 4 hours. How long will it take them working together? Which of the following equations could be used to solve this problem?
[tex]\Large{8t + 4t = 1}[/tex]
[tex]\Large{ ( \frac {1}{8} ) \cdot t + (\frac {1}{4} ) \cdot t = 1}[/tex]
[tex]\Large{( \frac {1}{t} ) \cdot 8 + (\frac {1}{t} ) \cdot 4 = 1}[/tex]
[tex]\Large{( \frac {1}{8} ) + (\frac {1}{4} ) = t}[/tex]
Answer: the answer is B
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
2 people can plough a field in 6 hours.
a)
How long would it take 1 person to plough the field?
b)
How long would it take 3 people to plough the field?
Please help!! This is due in 5 minutes!!
Answer:
416
Step-by-step explanation:
first find the area of the one triangle
12 times 8/2=96/2=48
and there are two triangles, so 48 times 2=96
and then find the area of one of the rectangle
10 times 12=120
and two are 10 times 10
10 times 10=100
100 times 2=200
200+120=320
320+96= 416
Let's brush up your math! whatch the
video below, can you anstater the
question
Answer:
Step-by-step explanation:
3 x 4 = 12
this is the answer
This response provides a general approach to solving mathematical problems due to lack of specific details in the student's question. The steps involve identifying the problem, understanding the problem, setting a plan, implementing the plan, and verifying the correctness of the solution.
Explanation:Due to the limited information provided in the question, I'll assume this is a general Mathematics question. Brainly is a platform where students can ask questions about their schoolwork and tutors will assist by providing accurate responses based on their knowledge. Since a video was mentioned but not provided, I am unable to address specific content from it. However, in Mathematics, it's crucial to understand that solutions typically involve identifying the problem, understanding the problem, making a plan, carrying out the plan, and finally, checking your work to ensure correctness. This process is universally applicable, be it Arithmetic, Algebra, Geometry, or any other branch of Mathematics.
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WILL GIVE BRAINLIST!!!!!Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Select three options..
A right rectangular prism with length 15 inches, width of 8 inches, and height of 6 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Answer:
A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Step-by-step explanation:
the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.
please help!! THIS IS 40 points for you to answer them for me!!!
Answer:
A) 8 and 3
B) no change
C) 10.3
helpppppppppppppppppppp me plz i need this now helppp me
Answer:
1.)4/9
2.)4
3.)9
4.)1/2
5.)-2/9
6.)-1
7.)1
8.)7/4
Step-by-step explanation:
Hope this helped stay safe!!!Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, proj,u
u = (-6,8), v = (7,1)
For u = (-6,8) and v = (7,1), the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68) where one is the projection of u onto v.
Explanation:First, we need to find the vector projection of u onto v. The formula to find the vector projection of u onto v is given by: projv(u) = [(u.v)/(v.v)] * v. Here '.' represents dot product of vectors.
So, substitute the given vectors u = (-6,8) and v = (7,1) into the formula.
Calculate dot product u.v = (-6*7) + (8*1) = -42 + 8 = -34 Calculate dot product v.v = (7*7) + (1*1) = 49 + 1 = 50 Substitute u.v and v.v in the formula: projv(u) = [-34 / 50] * (7,1) = (-4.76, -0.68).
This is one of the vectors. The other vector, orthogonal to v, is given by u minus the projection: u - projv(u) = (-6,8) - (-4.76, -0.68) = (-1.24, 8.68).
So, the vector u can be written as the sum of two orthogonal vectors (-4.76, -0.68) and (-1.24, 8.68).
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Which lists all the lines that are parallel to line s?
First answer gets brainliest!!!!