The cost of petrol for the trip to UWC is R1.2384.
What is cost?In general, cost refers to the amount of resources (usually money) that must be expended to produce or acquire something. It can be thought of as the value of the resources that are given up in order to obtain something else.
According to the given information:To calculate the cost of petrol for the trip to UWC, we need to know the distance traveled and the amount of fuel consumed.
Let's assume that the distance from Andrew's home to UWC is 20 kilometers (km). Then, the amount of fuel consumed for the trip is:
[tex]Fuel consumed = (0.0052 k/100 km) * 20 km = 0.00104 k[/tex]
where k stands for liters of petrol.
To convert the amount of fuel consumed to liters, we need to multiply by 100, since the fuel consumption rate is given in liters per 100 km:
[tex]Fuel consumed = 0.00104 k * 100 = 0.104 liters\\Fuel consumed = 0.00104 k * 100 = 0.104 liters[/tex]
Now we can calculate the cost of petrol for the trip:
[tex]Cost of petrol = (0.104 liters) * (R11.90/liter) = R1.2384[/tex]
Therefore, the cost of petrol for the trip to UWC is R1.2384.
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You are playing a game with a friend. It costs you $2 to play. If you roll a 1 on a 6-sided die you win $4. If you roll a 2, 3, 4, 5, or 6 you win nothing and lose $2 the cost to play. How much should the player be willing to pay to play this game and not lose money in the long run?
The player should be willing to pay up to $1.33 to play this game and not lose money in the long run.
The expected value is the sum of the products of each possible outcome and its probability. Let's calculate the expected value of the game:
E(X) = (1/6) * $4 + (5/6) * (-$2)
E(X) = $0.67
This means that on average, the player can expect to win $0.67 per game. Since it costs $2 to play, the player should not be willing to pay more than $2 - $0.67 = $1.33 to play the game and not lose money in the long run.
Probability theory is based on axioms, which are basic assumptions about the nature of probability. It is used to quantify uncertainty and to make predictions based on the available information. Probability is expressed as a number between 0 and 1, with 0 meaning an event is impossible, and 1 meaning an event is certain.
The concept of probability is used in a variety of fields, including statistics, economics, engineering, and physics. In statistics, probability is used to model random variables, estimate parameters, and test hypotheses. In economics, probability is used to model financial risks and decision-making under uncertainty. In engineering and physics, probability is used to model complex systems and predict the behavior of particles.
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what percentage of the area under the normal curve falls between ±2 standard deviations?
Approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.
How the 95.44% of the area under the normal curve falls between ±2 standard deviations?To find the percentage of the area under the normal curve that falls between ±2 standard deviations, we need to follow the following steps:
We need to know the mean (μ) and standard deviation (σ) of the normal distribution in question. If we assume a standard normal distribution (i.e., a normal distribution with mean of 0 and standard deviation of 1), then we can use a z-score table to find the percentage of area under the curve.
Calculate the z-scores for ±2 standard deviationsThe z-score formula is:
z = (x - μ) / σ
For ±2 standard deviations, the values of x are μ ± 2σ. Therefore, the z-scores are:
z = (μ + 2σ - μ) / σ = 2
z = (μ - 2σ - μ) / σ = -2
Use a z-score table to find the percentage of area under the curveA z-score table gives the percentage of area under the standard normal curve that falls to the left of a given z-score. Since the normal distribution is symmetric, the percentage of area to the right of a negative z-score is the same as the percentage of area to the left of the corresponding positive z-score.
Using a z-score table, we find that the percentage of area under the standard normal curve that falls to the left of z = 2 is 0.9772, or 97.72%. Therefore, the percentage of area under the curve that falls between ±2 standard deviations is:
97.72% - (100% - 97.72%) = 95.44%
This means that approximately 95.44% of the data falls within ±2 standard deviations of the mean in a normal distribution.
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i have a small area that i want to place 2 bench press machines. how much room will i need to reserve for those?
To place two bench press machines in a small area, you will need a space of approximately 10 feet by 10 feet. Let's discuss it in detail below. Here are the dimensions of the bench press machine, which can help determine the amount of space required to fit two bench press machines in a small area:
The length of the bench press machine is between 48 inches and 54 inches.
The width of the bench press machine is between 28 inches and 32 inches.
The height of the bench press machine is between 48 inches and 56 inches.
Based on the above dimensions of the bench press machine, two machines can be placed in a small area of 10 feet by 10 feet. However, for safe use, the following guidelines should be followed:
There should be at least 6 feet of distance between the two bench press machines. There should be at least 3 feet of clearance in the front of the bench press machine to allow for safe movement during exercises. There should be at least 2 feet of clearance behind the bench press machine to allow for a safe exit in case of an emergency.
Thus, to place two bench press machines in a small area, you will need a space of approximately 10 feet by 10 feet.
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Jim orders prints from a website. The site charges him $6. 95 a month and $0. 04 for each print he orders.
Enter an equation that can be used to find the number of prints, P, Jim ordered last month if the website charged
him $17. 79. Enter your response in the first response box
Enter the number of prints Jim ordered last month. Enter your response in the second response box,
Number of prints Jim ordered last month is 271
Let's assume Jim ordered "P" prints last month. The cost of ordering "P" prints would be the sum of the monthly charge and the cost of each print, which is given by the equation:
Cost = Monthly Charge + (Cost per Print x Number of Prints)
Substitute the values in the equation
$17.79 = $6.95 + ($0.04 x P)
Simplifying the equation, we get:
$10.84 = $0.04 x P
Dividing both sides by $0.04, we get:
P = $10.84 / $0.04
Divide the numbers
P = 271
Therefore, Jim ordered 271 prints last month.
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auditors compared opinions about treatment (very good/acceptable/poor) at four va hospitals (labeled a,b,c,d) among veterans aged 50 and above. what are the hypotheses for a chi-square test of independence on the data? select one:
The hypotheses for a chi-square test of independence on the data that auditors compared opinions about treatment (very good/acceptable/poor) at four VA hospitals (labeled a,b,c,d) among veterans aged 50 and above are:
Null hypothesis, H0: There is no association between the opinions about treatment of the VA hospitals and veterans aged 50 and above.
Alternative hypothesis, Ha: There is an association between the opinions about treatment of the VA hospitals and veterans aged 50 and above.
Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.
An analyst performs hypothesis testing on a statistical sample to present evidence of the plausibility of the null hypothesis. Measurements and analyses are conducted on a random sample of the population to test a theory. Analysts use a random population sample to test two hypotheses: the null and alternative hypotheses.
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please help fast I am baffled
The expression for the number of non-adult sizes is s - 19.
What are expressions?A value or amount is represented by an expression, which is a collection of numbers, variables, and mathematical operations like addition, subtraction, multiplication, and division. Calculations, complicated mathematical equations, and issues in a variety of disciplines, including science, engineering, economics, and statistics, may all be solved using expressions. Functions that depict a connection between variables, such as sin(x) and log(x), can also be included in expressions. Expressions are frequently employed to simulate real-world circumstances and provide predictions based on mathematical analysis.
Given that the total number od sweatshirts = s.
The number of non-adult sweatshirts can be calculated by:
Number of non-adult sizes = Total number of sweatshirts sold - Number of adult sizes
= s - 19
Hence, the expression for the number of non-adult sizes is s - 19.
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She begins at sea level, which is an elevation of 0 feet.
She descends for 50 seconds at a speed of 5 feet per second.
She then ascends for 54 seconds at a speed of 4.4 feet per second.
Answer:
The diver descends:
50 seconds x 5 feet/second = 250 feet
The diver ascends:
54 seconds x 4.4 feet/second = 237.6 feet
Therefore, the total change in elevation is:
250 feet (descent) - 237.6 feet (ascent) = 12.4 feet
So, the diver's final elevation is:
0 feet (starting elevation) - 12.4 feet (change in elevation) = -12.4 feet
Therefore, the diver ends up 12.4 feet below sea level.
Answer:
it is 1
Step-by-step explanation:
its is 1 2 3 hsvs jafsnsjhd jsusgsmsi jshsbjdg
A regular hexagon has side lengths of 2x and has a perimeter that is equal to an isosceles triangle with legs of x + 4 and a base that is 3 less than one of the legs. Write and solve equation to find the length of one side of the hexagon.
According to the formula, the length of one side of the hexagon is 21/4 or 5.25 units.
What is the perimeter of the regular hexagon?
Let's call the length of one side of the regular hexagon "s". Since a hexagon has six sides, the perimeter of the hexagon is 6s.
According to the problem, this is equal to the perimeter of an isosceles triangle with legs of x+4 and a base that is 3 less than one of the legs.
The perimeter of the isosceles triangle is given by:
perimeter = 2(x+4) + (x+1)
where (x+1) is the length of the base (which is 3 less than one of the legs).
Setting the perimeters equal, we get:
6s = 2(x+4) + (x+1)
6s = 3x + 9
s = (3/2)x + (3/4)
We also know that the side lengths of the hexagon are 2x. Substituting this into the equation for "s", we get:
2x = (3/2)x + (3/4)
x = 3
Therefore, the length of one side of the hexagon is:
s = (3/2)x + (3/4) = (3/2)(3) + (3/4) = 9/2 + 3/4 = 21/4
So the length of one side of the hexagon is 21/4 or 5.25 units.
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What is the circumference of the circle with a radius of 5.5 meters? Approximate using π = 3.14.
6.45 meters
34.54 meters
38.47 meters
199.66 meters
find the inverse of the function
F(x) = x² + 2x₁ [-1, 00]
BRAINLY AND 20 POINTS IF ANSWERED!!!!!! roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds
[ ] meters per second
1.4m/s is the rate that Roberto is walking. We know the formula for calculating the time i.e. t= d/r.
The term "distance" refers to how far we move. The rate is a measurement of our trip speed. Time is measured by how far we travel. The distance an object will travel over time and at a specific average rate is the subject of rate problems.
Given,
Distance = D
D= 1.4t
Rate= ?
Substituting the given values in the formula t= d/r
where,
t= time in seconds
d= distance
r= rate
We get,
t= 1.4t/r
t/1.4t= 1/r
t gets cancelled
so we have,
1/1.4= 1/r
r= 1.4m/s
Therefore, 1.4m/s is the rate at which Roberto is walking.
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The complete question is as follows:
Roberto is walking. The distance, D, in meters, he walks can be found using the equation D=1. 4t, where t is time in seconds.
What is the rate that Roberto's walking in meters per second?
Find a basis for the space of 2x2 lower triangular matrices:
A basis for the space of 2x2 lower triangular matrices is [tex]\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)[/tex].
Lower triangular matrices resemble the following:
[tex]\left[\begin{array}{ccc}a&0\\b&c\end{array}\right][/tex]
We can write it like this:
[tex]a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right][/tex]
This demonstrates the set's
[tex]\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)[/tex]
covers the set of lower triangular matrices with dimensions 2x2. Moreover, these are linearly independent, so attempting to
[tex]a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
leads to
[tex]\left[\begin{array}{ccc}a&0\\b&c\end{array}\right] =\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
which results in a = b = c = 0 right away. As there is no other way to
[tex]a\left[\begin{array}{ccc}1&0\\0&0\end{array}\right]+b\left[\begin{array}{ccc}0&0\\1&0\end{array}\right]+c\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]=\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
, these matrices are linearly independent if a = b = c = 0.
Since
[tex]\left(\left[\begin{array}{ccc}1&0\\0&0\end{array}\right],\left[\begin{array}{ccc}0&0\\1&0\end{array}\right],\left[\begin{array}{ccc}0&0\\0&1\end{array}\right]\right)[/tex]
they serve as a foundation by spanning the collection of 2x2 lower triangular matrices and being linearly independent.
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Please urgent need the work and answer
X=3.2
Y=6.1
Z=0.2
XZ +Y2
Answer: 37.85
Step-by-step explanation:
Substitute: 3.2x0.2+6.1^2
Calculate the product or quotient: 0.64+6.1^2
Calculate the power: 0.64+37.21
Calculate the sum or difference: 37.85
Answer: 37.85
pls mark brainliest
Determine if the ordered pair (-2, -4) is a solution for equation 2y - 3x = -2.
Answer:
Step-by-step explanation:
2(-4) - 3(-2) = -2
-8 + 6 = -2
-2 = -2
the time it takes for a statistics professor to grade an exam is normally distributed with a mean of 9.7 minutes and a standard deviation of 1.9 minutes. there are 50 students in the professor's class. what is the probability that more than 8 hours are needed to grade all of the exams? (report your answer to 4 decimal places.)
The probability that more than 8 hours are needed to grade all of the exams is about 52%
What is the probability of a standard normal distribution?The probability of a standard normal distribution is the area under the curve of the normal distribution function within a specified interval.
Let X represent the random variable to grade an exam, and let Y represent the total time to grade all exams
The number of students = 50
Therefore;
Y = 50·X
The properties of the normal distribution indicates that we get;
E(Y) = E(50·X) = 50·E(X) = 50 × 9.7 = 485
Var(Y) = Var(50·X) = 50²·Var(X) = 50² × 1.92² = 9025
The standard deviation, SD(Y) = √(Var(Y)) = √(9025) = 95
The probability that more than 8 hours are needed can be found using the z-score of the normal distribution as follows;
8 hours = 480 minutes
Z = (480 - 485)/95 ≈ -0.0526
The probability obtained from a standard normal table, is therefore;
P(Z > -0.0526) = 1 - 0.48006 ≈ 0.52
The probability that more than 8 hours are needed to grade all students is therefore about 0.52 or 52%
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the product of 2 rational numbers is 16/3.If one of the rational number is -26/3,find the other rational number
Answer:
- [tex]\frac{8}{13}[/tex]
Step-by-step explanation:
let n be the other rational number , then
- [tex]\frac{26}{3}[/tex] n = [tex]\frac{16}{3}[/tex]
[a number × its reciprocal = 1 ]
multiply both sides by the reciprocal - [tex]\frac{3}{26}[/tex]
n = [tex]\frac{16}{3}[/tex] × - [tex]\frac{3}{26}[/tex] ( cancel the 3 on numerator/ denominator )
n = - [tex]\frac{16}{26}[/tex] = - [tex]\frac{8}{13}[/tex]
Consider a Markov chain with transition matrix 1 2345 1 (1/2 1/2 0 0 0 2 2/3 0 1/3 0 0 3 3/4 0 0 /4 0 44/5 00 0 1/5 5 5/6 0 000 defined by i/(i + 1), if j = 1, Pij = l/(i +1), if j = i +1, 0, otherwise. (a) Does the chain have a stationary distribution? If yes, exhibit the distribution. If no, explain why (b) Classify the states of the chain (c) Repeat part (a) with the row entries of P switched. That is, let 1/(i +1), ifjsl. 0, otherwise
Considering the Markov chain with transition matrix, the chain does have stationary distribution which exhibits State 1 is transient and the stationary distribution is (2/9, 4/9, 8/27, 16/81, 32/729).
(a) Yes, the chain has a stationary distribution. To find it, we need to solve the system of equations π = πP, where π is the vector of probabilities for each state and P is the transition matrix. This gives us:
π_{1} = π(1/2)
π_{2} = π(1/3) + π(2/2)
π_{3}= π(2/4) + π(3/2)
π_{4} = π(3/5) + π(4/2)
π_{5}= π4/5
We also have the normalization condition π1 + π2 + π3 + π4 + π5 = 1.
Solving this system of equations, we get:
π_{1} = 10/97
π_{2} = 30/97
π_{3}= 40/97
π_{4} = 14/97
π_{5}= 3/97
So the stationary distribution is (10/97, 30/97, 40/97, 14/97, 3/97).
(b) State 1 is transient, and all other states are recurrent.
(c) Yes, the chain still has a stationary distribution. We need to solve the system of equations π = Pπ, where P is the new transition matrix. This gives us:
π_{1} = π(1/2)
π_{2} = π(1/3) + π(2/2)
π_{3}= π(2/4) + π(3/2)
π_{4} = π(3/5) + π(4/2)
π_{5}= π4/5
We also have the normalization condition π1 + π2 + π3 + π4 + π5 = 1.
Solving this system of equations, we get:
π_{1} = 2/9
π_{2} = 4/9
π_{3} = 8/27
π_{4} = 16/81
π_{5} = 32/729
So the stationary distribution is (2/9, 4/9, 8/27, 16/81, 32/729)
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In order to make the same amount of money, they would have to each sell ______ bicycles. They would both make $______.
In order to make the same amount of money, they would have to each sell 5 bicycles. They would both make $500
How many bicycle would they sell to make the same amount of money?To find the number of bicycles they would need to sell to make the same amount of money,
We can set Jim's and Tom's weekly earnings equal to each other and solve for the number of bicycles:
250 + 50x = 400 + 20x
30x = 150
x = 5
So they would need to sell 5 bicycles to make the same amount of money.
How much would they make for selling that amountTo find out how much money they would make for selling 5 bicycles, we can substitute x = 5 into either equation.
Let's use Jim's equation:
250 + 50(5) = 500
So they would make $500 for selling 5 bicycles.
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4 1/2 divided by 3 (fraction problem)
Answer: 9/6 or 1 1/2
Step-by-step explanation:
9/2 ÷ 3
KCF (keep, change, flip)
9/2 × 1/3
Solve.
Final answer: 9/6
hope i helped :)
Your teacher prepares a large container full of colored
beads. She claims that 1/8 of the beads are red, 1/4 are
blue, and the remainder are yellow. Your class will take a
simple random sample of beads from the container to test the teacher's claim. The smallest number of beads you
can take so that the conditions for performing inference
are met is.
15
16
30
40
90
The smallest number of beads we can take so that the conditions for performing inference are met is 40.
Probability:
The probability of an event is a number that indicates the probability of the event occurring. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. The probability of an impossible event is 0; the probability of a certain event occurring is 1. The probability of two complementary events A and B - A occurring or B occurring - adds up to 1.
According to the Question:
Given in the question,
Teacher prepares a large container filled with colored beads. She claims that 1/8 beads are red, 1/4are blue, and the rest are yellow. Your class will test the teacher's claim by randomly drawing a simple sample of beads from the container.
Quadrant Frequency
1 18
2 22
3 39
4 21
The proportions are 1/8 , 1/4 and 5/8
Here, the smallest probability is 1/8 , thus it would be used to compute the frequency.
Now,
The expected frequencies are calculated as:
E = np₁ = 15 (1/8) = 1.875
E = np₂ = 16(1/8) = 2
E = np₃ = 30(1/8) = 3.75
E = np₄ = 40(1/8) = 5
E = np₅ = 80(1/8) = 10
Here, conditions are fulfilling for 40 and 90 but the smallest sample size is contained by 40. Thus, the correct option is 40.
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suppose that a soup recipe calls for two teaspoons of salt. how many milligrams of sodium is that? ?
Two teaspoons of salt contains 7.16 grams of Na or 7160 milligrams of Na.
Given that a soup recipe calls for two teaspoons of salt. We need to find out how many milligrams of sodium is that?
1 teaspoon = 5.69 grams 1 gram = 1000 milligrams
2 teaspoons of salt = 2 * 5.69 grams = 11.38 grams of salt
11.38 grams of salt = 11.38 * 1000 milligrams = 11380 milligrams of salt
Now, we have to find out how much sodium (Na) is there in 11380 milligrams of salt. Sodium chloride is the chemical name for table salt (NaCl). So, the atomic mass of NaCl can be calculated as follows:
Na = 1Cl = 35.45
Atomic mass of NaCl = Na + Cl= 1 + 35.45= 36.45
So, 1 mole of NaCl = 36.45 grams 11380 milligrams of NaCl = 11380/1000 grams= 11.38/36.45 moles
Therefore, Moles of Na = 11.38/36.45 = 0.3121
mol Atomic mass of Na is 22.99 g/mol.
So, 1 mole of Na weighs = 0.3121 * 22.99= 7.16 grams
Therefore, 11380 milligrams of NaCl = 7.16 grams of Na. Hence, two teaspoons of salt contains 7.16 grams of Na or 7160 milligrams of Na.
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Write the first four terms of the sequence defined by a n = 5
{5, if n=1
a n -1 -5, if n>1
Answer:
The sequence is defined as follows:
a1 = 5
an = an-1 - 5, for n > 1
Using this definition, we can find the first four terms of the sequence as follows:
a1 = 5
a2 = a1 - 5 = 5 - 5 = 0
a3 = a2 - 5 = 0 - 5 = -5
a4 = a3 - 5 = -5 - 5 = -10
Therefore, the first four terms of the sequence are: 5, 0, -5, -10.
tomas has $1,000 to spend on a vacation. his plane ticket costs $348.25. if he stays 5.5 days at his destination, how much can he spend each day? write an inequality and then solve.
Tomas can spend at most $118.50 each day. The inequality equation is 5.5x ≤ 651.75.
Tomas has $1,000 to spend on a vacation. His plane ticket costs $348.25. If he stays 5.5 days at his destination, how much can he spend each day? Write an inequality and then solve.
Let x be the amount that Tomas can spend each day. Since Tomas has to pay for the plane ticket, he will have $1,000 − $348.25 = $651.75 left to spend on the rest of the vacation.
Then, since he is staying for 5.5 days, the total amount he can spend would be 5.5x dollars. The inequality that represents the problem is as follows:
5.5x ≤ 651.75
To solve for x, divide both sides by 5.5
5.5x/5.5 ≤ 651.75/5.5x ≤ 118.5
Therefore, Tomas can spend at most $118.50 each day.
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Answer:
The answer to this solution is 118.5 a day
Step-by-step explanation:
The original price is $1,000 for the ticket it costs $348.25 and Tomas is staying for 5.5 days so dividing 651.75 by 5.5 is the ANSWER 118.5
Find the measure of the last angle of the triangle below.
28⁰
35°
Measure of last angle of triangle is 117°
Triangle PropertiesThe triangle's characteristics include:
All triangles have a total of 180 degrees in their angles.The length of the longest two sides of a triangle is greater than the length of the third side.The length of the third side of a triangle is shorter than the difference between its two sides.Angle Sum PropertyThe angle sum property states that the sum of a triangle's three interior angles is always 180 degrees.
Angle of Triangle are
28° and 35°
Let the third angle be x
According to angle sum property
28°+35°+x=180°
x=117°
Measure of last angle of triangle is 117°
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The complete question is;
Find the measure of the last angle of the triangle below.
28⁰
35°
Image is attached below.
You roll a fair 666-sided die. What is \text{P(roll greater than 4})P(roll greater than 4)start text, P, left parenthesis, r, o, l, l, space, g, r, e, a, t, e, r, space, t, h, a, n, space, 4, end text, right parenthesis?
When a 666-sided fair die is rolled, then the probability of rolling greater than 4 is 0.9940 or 99.40%.
Given that the die is fair and has 666 sides. So, each face of the die will have a probability of 1/666, i.e.,
p(1) = p(2) = ... = p(666) = 1/666.
The probability of rolling greater than 4 is P(roll greater than 4), which is the sum of the probabilities of rolling a 5, 6, 7, 8, 9, ..., 666. So,
P(roll greater than 4) = p(5) + p(6) + p(7) + ... + p(666)
P(roll greater than 4) = (1/666) + (1/666) + (1/666) + ... + (1/666)
(There are 661 terms)P(roll greater than 4) = 661(1/666)
P(roll greater than 4) = 0.9940 (rounded to four decimal places)
Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.
Alternatively, the probability of rolling greater than 4 is
1 - P(roll less than or equal to 4)P(roll greater than 4)
= 1 - P(roll less than or equal to 4)P(roll greater than 4)
= 1 - (p(1) + p(2) + p(3) + p(4))P(roll greater than 4)
= 1 - (4/666)P(roll greater than 4)
= 1 - 0.0060P(roll greater than 4)
= 0.9940 (rounded to four decimal places)
Hence, the probability of rolling greater than 4 is 0.9940 or 99.40%.
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Please help. Need answer ASAP!
Answer: 11
Step-by-step explanation:
Turn it into an improper fraction so 8 from 8 1/4 to 33/4
Then just divide by 3/4
This will give you 11
FOR BRAINLIEST!!
Directions: Solve for x. The figure is a parallelogram
Answer:
Answer is in the picture
Step-by-step explanation:
Hope you understand :)
Answer:
x = 10-----------------------------
According to one of the properties of a parallelogram, any two consecutive interior angles are supplementary.
We know supplementary angles add up to 180°.
Apply this property to the given parallelogram and set up the following equation:
35 + 14x + 5 = 18014x + 40 = 18014x = 140x = 10how many liters of a 25 % 25%, percent saline solution must be added to 3 33 liters of a 10 % 10, percent saline solution to obtain a 15 % 15, percent saline solution?'
Answer:
Here, x represents the amount (in liters) of the 25% saline solution to be added.
We can see that the 25% saline solution needs to be mixed with the 10% saline solution to obtain a mixture that is 15% saline. The ratio of the volumes of the 25% and 10% solutions can be found by subtracting the concentrations of the two solutions and dividing by the difference between the desired concentration and the concentration of the 10% solution:
x / (3.33 - x) = (15 - 10) / (25 - 10) = 5/15 = 1/3
Multiplying both sides by 3.33 - x, we get:
x = (1/3) (3.33 - x)
Multiplying both sides by 3, we get:
3x = 3.33 - x
Solving for x, we get:
x = 0.833 liters
Therefore, 0.833 liters of the 25% saline solution must be added to 3.33 liters of the 10% saline solution to obtain 4.163 liters of a 15% saline solution.
Step-by-step explanation:
(x-20)²=x²-20 pleas im struggling i need help
Answer:
Step-by-step explanation:
[tex](x-20)^2=x^2-20[/tex]
Expanding LHS gives:
[tex]x^2-40x+400=x^2-20[/tex]
[tex]-40x+400=-20[/tex] (subtracted [tex]x^2[/tex] from both sides)
[tex]-40x=-420[/tex] (subtracted 400 from both sides)
[tex]x=\frac{-420}{-40}[/tex] (divided both sides by-40)
[tex]x=\frac{21}{2} =10\frac{1}{2}[/tex]
To train for a race, Rosmaria runs 1.5 hours longer each week than she did the previous week. In the first week, Rosmaria ran 3
hours. How much time will Rosmaria spend running if she trains for 12 weeks?
first to answer with good explanation gets brainlest
In linear equation, 54 hours time will Rosmaria spend running if she trains for 12 week.
What is a linear equation in math?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Rosmaria runs 1.5 hours.
In the first week, Rosmaria ran 3 hours.
Rosmaria spend running if she trains for 12 weeks = 12 * 1.5 * 3
= 54
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