A fair die is rolled 2 times. What is the probability of getting a 1 followed by a 4? Give your answer to 4 decimal places.
Answers
Answer: P(1 and 4) = .0278
Step-by-step explanation:
A die has 6 sides so it has 6 possible outcomes
Probability of getting a 1:
There is only one 1 on the die of 6 sides
P(1) = 1/6
Probability of getting a 4:
P(4) = 1/6
Probability of getting a 1 and then a 4:
Because it is a dependent event. you need to get a 1 and then a 4, so you multiply
P(1 and 4) = 1/6 * 1/6
P(1 and 4) = 1/36
P(1 and 4) = .0278
The probability of getting a 1 followed by a 4 when rolling a fair die twice is approximately 0.0278
To calculate the probability of getting a 1 followed by a 4 when rolling a fair die twice, we need to consider the outcomes of each roll.
The probability of getting a 1 on the first roll is 1/6 since there is only one favorable outcome (rolling a 1) out of six possible outcomes (rolling numbers 1 to 6).
The probability of getting a 4 on the second roll is also 1/6, following the same reasoning.
Since the two rolls are independent events, we can multiply the probabilities:
P(1 followed by 4) = P(1st roll = 1) * P(2nd roll = 4) = (1/6) * (1/6) = 1/36 ≈ 0.0278
To know more about probability refer here:
https://brainly.com/question/14434990#
#SPJ11
Related Questions
Solve the inequality- x+18 ≥ 8x+4 or 15x-15 ≤ 15x+5
I give Brainliest!
Answers
Answer:
x ≥ 2
0 ≤ 20 (not quite sure if the question is right)
Step-by-step explanation:
x+18 ≥ 8x+4
x - 8x ≥ 4 - 18
-7x ≥ -14
x ≥ \(\frac{-14}{-7}\)
x ≥ 2
________________
15x-15 ≤ 15x+5
15x - 15x ≤ 5 + 15
0 ≤ 20
(I don't think this is the right question...cuz theres a 0)
The two inequalities -x+18 ≥ 8x+4 or 15x-15 ≤ 15x+5 represent a line or a plane that is less than or equal to 14/9.
What is linear equality?Linear inequalities are in the form of linear equations.
We know inequality shows that states a relationship between expressions that they are less than, less than equal to, greater than and greater than equal to each other.
First expressioon is - x + 18 ≥ 8x + 4,
18 - 4 ≥ 8x + x.
14 ≥ 9x.
x ≤ 14/9.
The second expression is,
15x - 15 ≤ 15x + 6.
15x - 15x ≤ 6 + 5.
0x ≤ 11.
x ≤ 11/0, which is undefined as anything divided by zero is not defined.
learn more about inequalities here :
https://brainly.com/question/20383699
#SPJ2
Making an inference is the second part of the process of investigating a
question using data.
A True
B. False
Help!!!
Answers
Answer:
The answer is False
What is a severe limitation of using the Internet for primary research? The data on the Internet are usually outdated. The educational qualifications of the respondents of surveys on the Internet cannot be identified accurately. A sample universe composed solely of Internet respondents represents a potential bias. Secondary data cannot be accessed on the Internet for conducting research. Using the Internet for primary research is the most expensive way of conducting primary research.
Answers
The severe limitation of using the internet for primary research is that a sample universe composed solely of internet respondents represents a potential bias.
Given options 1)The data on the Internet are usually outdated.
2) The educational qualifications of the respondents of surveys on the Internet cannot be identified accurately.
3) A sample universe composed solely of Internet respondents represents a potential bias.
4)Secondary data cannot be accessed on the Internet for conducting research.
5) Using the Internet for primary research is the most expensive way of conducting primary research.
We have to choose most appropriate option which shows the severe limitation of using internet for primary research.
The most appropriate option is option third which is that a sample universe composed solely of internet respondents a potential bias
There is biasness because on internet people gives their own opinion and reviews and don't think about reality. The data may have been collected for the research according to researcher's priority. The data may be outdated but it is of our choice whether we use that data or not because generally the date is given on the internet. We can also access secondary data on the internet. Using internet in research is not so expensive because some organisation provides study materials to researchers themselves.
Hence the limitation of using the internet for primary research is that a sample universe composed solely of internet respondents a potential. bias.
Learn more about research at https://brainly.com/question/968894
#SPJ4
A new team member expect to be able to score 15 points. The teams are starting how including the score what effective teams. Choose all correct statements about how are adding a score 15 would affect the mean and median scores
Answers
Adding a score of 15 to the team would have the following effects on the mean and median scores:
The mean score would increase:
When a score of 15 is added to the existing scores, the sum of all scores would increase.Consequently, the mean score, which is calculated by dividing the sum of scores by the number of team members, would increase as well.The median score may or may not change:
The median score represents the middle value when the scores are arranged in ascending or descending order. If the team initially had an odd number of members, the median score would remain unchanged because adding 15 does not alter the middle value. However, if the team initially had an even number of members and the median score was one of the middle values, adding 15 could potentially change the median score. This would depend on whether the new score of 15 falls within the range of the previous middle values or exceeds them.For such more questions on score
https://brainly.com/question/29104853
#SPJ8
The parking lot has 40 cars and 3/4 of the cars have in-state license plates. How many cars have in-state license plates?
Answers
Answer:
30 cars
Step-by-step explanation:
Take the number of cars and multiply by the fraction of cars that are in state
40 * 3/4 =
40/4 * 3 =
10 *3 =
30
Answer:
30 cars
Step-by-step explanation:
total number of cars = 40
number of cars that have in-state license plates = 3/4 of total number of cars
number of cars that have in-state license plates = 3/4 * 40 = 30 cars
Which pair of quantities is LEAST likely to be directly proportional?.
Answers
Answer:
Hours worked and money earned
Distance and time when speed is constant
Area and side length of a square
Total cost and the number of hats purchased
Step-by-step explanation:
Write in Point- Slope Form the equation of the line that passes through (-2,-1) and
has a slope of -3.
Answers
Step-by-step explanation:
y - -1 = -3×(x - -2)
=>
y + 1 = -3×(x + 2)
The following equation describes the motion of a certain mass connected to a spring, with viscous friction on the surface 3ÿ + 18y + 102y = f(t) where f(t) is an applied force. Suppose that f(t) = 0 for t <0 and f(t) = 10 for t≥ 0. a. Plot y(t) for y(0) = y(0) = 0. b. Plot y(t) for y(0) = 0 and y(0) =
Answers
The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
The given equation represents the motion of a mass connected to a spring with viscous friction. To plot the displacement, y(t), we need to solve the differential equation. With initial conditions y(0) = 0, we can find the solution using the Laplace transform. After solving the equation, we can plot y(t) for t < 0 and t ≥ 0 separately. For t < 0, the applied force, f(t), is zero, so the mass will not experience any external force and will remain at rest. For t ≥ 0, the applied force is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position.
To solve the given differential equation, we can start by finding the characteristic equation by setting the coefficients of y, its derivative, and its second derivative to zero:
s^2 + 18s + 102 = 0.
Solving this quadratic equation gives us the roots s1 = -3 + 3i and s2 = -3 - 3i. These complex roots indicate that the mass will undergo damped oscillations.
Using the Laplace transform, we can solve the differential equation and obtain the expression for Y(s), the Laplace transform of y(t):
(s^2 + 18s + 102)Y(s) = F(s),
where F(s) is the Laplace transform of f(t). Since f(t) = 10 for t ≥ 0, its Laplace transform is F(s) = 10/s.
Solving for Y(s) gives us:
Y(s) = 10 / [(s^2 + 18s + 102)].
To find y(t), we need to inverse Laplace transform Y(s). Using partial fraction decomposition, we can express Y(s) as:
Y(s) = A / (s - s1) + B / (s - s2),
where A and B are constants to be determined. After finding A and B, we can inverse Laplace transform Y(s) to obtain y(t).
With the given initial condition y(0) = 0, we can solve for A and B by setting up equations using the initial value theorem:
A / (s1 - s1) + B / (s1 - s2) = 0,
A / (s2 - s1) + B / (s2 - s2) = 0.
Solving these equations will give us the values of A and B. Finally, we can substitute these values back into the inverse Laplace transform of Y(s) to obtain y(t).
For t < 0, since the applied force f(t) is zero, the mass will not experience any external force. Therefore, y(t) will remain at its initial position, y(0) = 0.
For t ≥ 0, the applied force f(t) is 10, and the mass will respond to this force and undergo oscillatory motion around the equilibrium position. The displacement, y(t), will depend on the properties of the mass, the spring, and the viscous friction. The plot of y(t) will show how the mass oscillates with time, starting from the equilibrium position and gradually coming to rest due to the damping effect of the friction.
Learn more about equation here: brainly.com/question/29657983
#SPJ11
A cylindrical jar of peanut butter measures 7 cm in diameter and 12 cm in height. If 1 cm³ = 0.034 ounce,
about how many ounces of peanut butter can the jar hold?
64 ounces
8 ounces
16 ounces
32 ounces
Answers
Volume
πr²hπ(3.5)²(12)12π(12.25)461.58cm³Convert to ounces
461.58×0.03415.7oz16ozOption C
Answer:
16 ounces (nearest ounce)
Step-by-step explanation:
Formula
Volume of a cylinder = πr²h (where r is the radius and h is the height)
Diameter = 2r (where r is the radius)
Given:
diameter = 7 cmheight = 12 cm⇒ radius = 7 ÷ 2 = 3.5 cm
⇒ Volume of the jar = π · 3.5² · 12 = 147π cm³
If 1 cm³ = 0.034 ounce, then
⇒ Ounces jar can hold = 147π × 0.034
= 15.70168008
= 16 ounces (nearest ounce)
What is the quotient of the complex numbers below?
(Urgent ❗️❗️)
Answers
Answer:
the answer is C
Answer:
The answer is C.
Step-by-step explanation:
We are given: \(\frac{3+2i}{1-5i}\). To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.
The conjugate of \(1-5i\) is \(1+5i.\)\
Thus, we have:
\(\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}\)
Recall that \(i^2\) is simply -1.
Thus, we have:
\(\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}\)
We can split this:
\(-\frac{7}{26}+\frac{17}{26}i\)
Please help quick! Identify the function shown in this graph.
Answers
A rental car company charges $60.00 just to rent a car, and $70.00 for each day you keep the car.
How much would it cost to rent a car for 2 days?
Answers
Answer:
$200
Step-by-step explanation:
60+70d
60+70(2)
60+140
=200
Answer:
$200
Step-by-step explanation:
The equation we would need to make to solve this would be
60+70x = y
60 is the original fee
70 is how much you pay each day to keep the car
x is how many days.
60+70(2)= ?
60+140= 200
I hope this helps!
a is 60 miles from b. a starts for b at 20 mph, and b starts for a at 25 mph. when will a and b meet?
Answers
The problem describes a scenario in which two objects, A and B, start moving towards each other from different locations and speeds. Object A starts from point A, which is 60 miles away from object B, at a speed of 20 mph, while object B starts from point B at a speed of 25 mph.
To solve this problem, we can use the formula Distance = Speed x Time. We know that the total distance between A and B is 60 miles and we want to find the time at which they meet. Let's call that time "t". Let's also assume that they meet at some point "x" miles away from A. Then, the distance that A travels is 60 - x and the distance that B travels is x. Using the formula, we can set up an equation:
Distance A + Distance B = Total Distance
(60 - x) + x = 60
Simplifying this equation, we get:
60 - x + x = 60
60 = 60
This equation is always true, so it doesn't give us any information about when A and B will meet. However, we can use the formula Distance = Speed x Time to set up another equation that relates the distance and speeds of A and B to the time they travel before meeting:
Distance A = Speed A x Time
Distance B = Speed B x Time
Substituting the distances and speeds we know, we get:
(60 - x) = 20t
x = 25t
We can use either equation to solve for t, but let's use the second equation. Substituting x = 25t, we get:
(60 - 25t) = 20t
Simplifying and solving for t, we get:
60 = 45t
t = 4/3
Therefore, A and B will meet after traveling for 4/3 hours, or 1 hour and 20 minutes.
To learn more about equation, click here:
brainly.com/question/29657992
#SPJ11
Simplify -2√-45 please
Answers
Answer:
l-4l+l-3l??
Step-by-step explanation:
Answer:
\(-6\sqrt{5i}\)
Step-by-step explanation:
\(\sqrt{-45} =3\sqrt{5}i\)
\(-2\) * \(3\sqrt{5i}\)
= \(-6\sqrt{5i}\)
What are the x-intercepts of f(x) = (x – 10(x + 10)
a) (0, -10) and (0, 10)
b) 10
c) 0
d) (10,0) and (-10, 0)
Answers
The pie chart shows that electricity production emits the most greenhouse gases in the United States. According to the Environmental Protection Agency (EPA), about 67% of this electricity is produced by burning fossil fuels, while more than 90% of the fuel used for transportation comes from fossil fuels. What changes must humans make to protect the environment from the greenhouse gas emissions produced by fossil fuels?
A.
Reduce the percentage of renewable energy sources.
B.
Increase the amount of greenhouse gasses produced by agriculture.
C.
Promote the use of private transportation.
D.
Invest in clean, cost-effective energy.
Answers
The changes humans must make to protect the environment is to Invest in clean, cost-effective energy, the correct option is D.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
We need to Write the percent as a fraction in simplest form
16.24%
So, we can rewrite it as;
16.24 / 100
16 and 24/100 or 16 6/25
So the percent as a fraction is 16 6/25
We are given that;
EPA= 67%
Now,
This option would help reduce the reliance on fossil fuels and lower the greenhouse gas emissions from electricity production and transportation. The other options would either have no effect or worsen the environmental impact of fossil fuels.
Therefore, by the given percentage the answer will be Invest in clean, cost-effective energy.
Learn more about percent here:
https://brainly.com/question/11549320
#SPJ5
A _______________ is a smaller part of a whole number
Answers
A fraction is a smaller part of a whole number.
What is a whole number?A whole number is defined as the number that is natural and it includes numbers such as 0, 1,2,3,4,5,6,7,8,9, 10. This means that is doesn't contain numbers that has decimal points or fractions such as. 1.5 or 1½ respectively.
A fraction is defined as the part of a whole value such as 1/4 which is 25% of 1. This means that it is the smaller part of a whole number.
Learn more about fraction here:
https://brainly.com/question/28699958
#SPJ1
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?
Answers
If this has a constant, it would travel 13.5 miles in an hour, therefore it would travel 6.75 miles in a half hour.
13.5/2=6.75miles per half hour
6.75
Find the value of x.
Round to the nearest tenth.
B
63
142°
61
A
C
X
x = [ ?
Law of Cosines: c² = a² + b² - 2ab cos C
Answers
Answer:
the answe would be x=117,2
Answer: x=117.2
Step-by-step explanation:
can you guys answer these sequences?
Answers
b) 7, 17, 27, 37
-3,7,17,27,37
How to Calculate the Moment of Inertia for a Cylinder?
Answers
The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:
I = (1/2) × m × r²
where:
I is the moment of inertia of the cylinder
m is the mass of the cylinder
r is the radius of the cylinder.
Here are the steps to calculate the moment of inertia for a cylinder:
Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:
m = density × volume
Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.
Substitute the values of m and r into the moment of inertia formula:
I = (1/2) × m × r²
Calculate the moment of inertia using a calculator.
Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.
Learn more about inertia here: brainly.com/question/30459596
#SPJ4
A statue in my house is 39 inches tall and has a width of 46.25 inches. Matea was in cermics class and decided to make a model of which where the height was now 10 inches. How wide is the model (to the nearest tenth)?
Answers
The 39 inches tall and 46.25 inches wide statue, using the ratio of similarity, indicates that the 10 inches tall model is about 11.9 inches wide
What is a ratio of similarity?The ratio of similarity between two similar figures is the ratio of the corresponding sides of the figures.
When two figures are similar, the measurements of the lengths of their corresponding sides are proportional.
Height of the statue = 39 inches
Width of the statue = 46.25 inches
Height of the model of the statue = 10 inches
The width of the model can be found using the ratio of similarity of the statue as follows;
\(\displaystyle {\frac{Height \ of\, statue }{Width\ of \ statue} = \frac{Height\ of \, model}{Width\, of \, model} }\)
Therefore, we get;
\(\displaystyle {\frac{39 \ inches }{46.25 \ inches} = \frac{10\ inches}{Width\, of \, model} }\)
\(Width\, of \, model = \displaystyle {\frac{46.25 \ inches}{39 \ inches } \times \frac{10\ inches}{1} }\approx 11.9\ inches\)
The width of the model is about 11.9 inchesLearn more about ratio of similarity here:
https://brainly.com/question/4125444
#SPJ1
how many rectangles of different sizes can be formed from 36 identical rectangles
Answers
The number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Number of rectangles
From the question, we have proofs of;
Total number of identical squares = 36
Now, let the measurement of the side of each square be 1 unit
We have that the formula for area of a square is;
Area of a square = Side × Side square units
We have the area of the square to be;
Area of each square = 1×1 = 1 square units
This is so because the rectangles are identical both in length and width
Let's find the area of the identical squares
Area of total 36 identical squares
= 36×1 square units
= 36 square units
So Area of the rectangle = length × breadth square units
if the rectangles are formed from 36 identical squares then their areas are the same
Total area of required rectangles = 36 square units
It can be written as;
36 = length × breadth
36 = 1×36 36 = 2×1836 = 3×1236 = 4×936 = 6×6(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares
Total rectangles = 5
Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Learn more about rectangles here:
https://brainly.com/question/17297081
#SPJ1
4. Which equation below shows a correct use of the distributive property? a. 2(3 + 5) = (2 + 3) x (2 + 5) b. 2(3 + 5) = (2 x 3) + 5 c. 2(3 + 5) = 2(5 + 3) d. 2(3 + 5) = (2 x 3) + (2 x 5)
Answers
Answer:
The answer is D
Step-by-step explanation:
This is because you multiply two by every number in the parentheses!
Hope this helps :)
Jim eats 12 centiliters of ice cream with 60 milliliters of chocolate syrup. How much did Jim eat in total?
Answers
total means to add. so 60 milliliters plus 12 centiliters is 18 centiliters.
Hope I helped
Find the area of the circle. Round your answer to the nearest hundredth
Answers
Answer:
7.1
Step-by-step explanation:
the radius is half of that or 1.5
soooooooo
A=π*1.5*2
PLEASE HELP!!
Write a function that represents the situation: A population of 5 fruit flies increases by 12.5% each day.
Answers
P(t) = 5(1 + 0.125)^t
where P(t) is the population of fruit flies after t days.
draw a graph of y equals 7 + 4 x - 2x squared
a) use a graph to find the Turning point
b) use your graph to look for the roots .
Answers
Answer:
thanks man i really needed points
Step-by-step explanation:
Answer:
i really need it
Step-by-step explanation:
thanks for the points
Please help me. Answer ASAP!! all info you need to solve the problem is in the photo
Answers
If f(0) = 18 and f(1) = 13 then f(0) be the largest value.
What is meant by function?A function is a relationship between a number of inputs where each input has exactly one output, according to one definition.
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions denoted the idealized relationship between two changing quantities.
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). If f exists typically utilized to denote a function (x).
Let the function f(x) = 18 - 5x
a) f(-4) = 18 - 5(-4) = 38
b) f(0) = 18 - 5(0) = 18
f(1) = 18 - 5(1) = 13
Therefore, f(0) be the largest value.
The complete question is:
Given the function f(x) = 18 - 5x
a. What is the value of function f given an input of -4 ?
b. Which is larger, f(0) or f(1)? Show your work to justify your answer.
To learn more about function refer to:
https://brainly.com/question/11624077
#SPJ1
When this polynomial is divided by (m + 1), the remainder is 0. What is the value of the polynomial's constant term?
-2m^3 + m^2 - m + (blank)
Answers
Answer:
The value of the polynomial's constant term is -4
Step-by-step explanation:
Given polynomial;
= -2m³ + m² - m + c
where;
c is the constant term
factor of the polynomial = m+1
then, f(m+1) = 0
m = -1
Substitute the value of m in the given polynomial and solve for the constant term "c";
-2m³ + m² - m + c = 0
-2(-1)³ + (-1)² - (-1) + c = 0
2 + 1 + 1 + c = 0
4 + c = 0
c = -4
Therefore, the value of the polynomial's constant term is -4