The area under the standard normal probability density function from negative infinity to z is interpreted as the probability that the random variable takes a value less than or equal to z.
In order to model continuous phenomena or quantities that depend on chance, such as time, length, and mass, continuous random variables are utilized.
The likelihood that the random variable takes a value inside that interval is defined as the area under the density function over an interval. Therefore, the probability that the random variable will have a value less than or equal to z is given by the area under the normal curve from negative infinity to z.
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what is 3/10 divided by 3/5?
3/10 divided by 3/5 is
0.5 in decimal form
1/2 in fraction form
either way both are the same thing
so your answer is 0.5 and 1/2
hope this helped you out:)
hurry xdd A store had apples on sale for $1.20 a pound. Joan spent $5.28 on apples. How many pounds did she buy?
Answer:
4-6 not sure where but around 4-6 maybe 5 pounds
Step-by-step explanation:
hope this helps
Answer:
Its 4.4 pounds.
Step-by-step explanation: To find the answer you would just divide the amount she spent and the price per pound.
HELP PLEASE !!!!
help me find what degree angle x is!
Answer:
x=135 degrees
Step-by-step explanation:
The total angles added up in a triangle is 180-degrees (ABC)
69+66+A=180
A=45
Line CD is a 180-degree line so angle x would be:
180-45 = 135 degrees
How would you describe the shape of the normal distribution?
The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
What is a normal distribution?
A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.
It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.
It is also known as probability distribution curve.
The normal distribution has two parameters:
MeanStandard deviationWhat is the shape of the normal distribution?
The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.
Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).
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Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points. He wants to know how many gold coins he needs to find.
Answer:
200/25×1
=8 gold coins
Step-by-step explanation:
The required number of gold coins he needs is given 8 coins.
Given that,
Collin is playing a video game. He wins 25 points for each gold coin he finds. His goal is to win more than 200 points.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 coin = 25 points
For 200 points number of coins is given as = 200 / 25 = 8 coins
Thus, the required number of gold coins he needs is given 8 coins.
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a decision maker subjectively assigned the following probabilities to the four outcomes of an experiment: , , , and . are these probability assignments valid? explain.
Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.
Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.
An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.
Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:
The probabilities assigned must be between 0 and 1. The sum of the probabilities assigned to all potential outcomes must be 1.In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.
Therefore, the given probability assignments are valid.
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Find x #4 please reallt emergency
Answer:
Step-by-step explanation:
3
Rotate triangle P 90° clockwise about the point (2, -1).
Please screenshot this and send me the answers cuz I really need help :(
Answer: (2,0), (2,1), and (6,1)
Step-by-step explanation: I just used the desmos graphing calculator to find the answer to your problem. I don't know any formulas to solve it so I just rotated the points by hand. I also made sure they were still equidistant from the point (2,-1) because if their distances from other points changed during the rotation, then the triangle would not be equal to the first triangle and the image would've been distorted.
I hope this helps! Have a nice day.
The hypotenuse of a right angle triangle is x + 6. The other two sides are 12 and x. Form an equation involving x and then solve it.
Answer:
The answer is x = 9
We use Pythagoras theorem to form the equation and solve for x
That's
a² = b² + c²
where a is the hypotenuse
we get
(x + 6)² = 12² + x²
Expand
x² + 12x + 36 = 144 + x²
Group like terms
We have
x² - x ² + 12x = 144 - 36
12x = 108
Divide both sides by 9
That's
12x/12 = 108/12
x = 9
Hope this helps you.
Answer:
X=9Solution,
AB=(perpendicular)=X
AC(hypotenuse)=X+6
CB(Base)=13
Using Pythagoras theorem,
\( {h}^{2} = {p}^{2} + {b}^{2} \\ {(x + 6)}^{2} = {x}^{2} + {(12)}^{2} \\ {x}^{2} + 12x + 36 = {x}^{2} + 144 \\ 12x + 36 = 144 \\ 12x = 144 - 36 \\ 12x = 108 \\ x = \frac{108}{12} \\ x = 9\)
Hope this helps...
Good luck on your assignment...
a senate committee has 5 democrats, 5 republicans, and 1 independent. in how many ways can they sit around a circular table if all the members of each party all sit next to each other? (two seatings are considered equivalent if one is a rotation of the other.)
There are 7200 ways for the senate committee to sit around a circular table.
To solve this problem, we can use the formula for circular permutations: (n-1)!/d, where n is the total number of people and d is the number of ways in which they can be distinguished. In this case, n is 11 (5 democrats + 5 republicans + 1 independent) and d is 1 (since all the members of each party sit together, they are not distinguishable from one another). Plugging these values into the formula, we get
(11-1)!/1 = 10!/1 = 1098765432*1/1 = 7200.This means that there are 7200 ways for the senate committee to sit around a circular table.
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You earn $9 per hour. Which equation shows the relationship between the time worked in hours, t, and the money earned in dollars, m?
a) t = 9m b) m = 19t c) m = 9t d) m = -9t
Answer:C
Step-by-step explanation:
c amount made in hour (9) times the number of hours workd (t) equals m
9t=m for example you work 5 hours 9(5)=45 so the answer is c m=9t
Use the distributive property to write an equivalent expression.
7(3n-4p+6)
To get an analogous equation, use the distributive property with 21n-28p+42.
What is a word that describes equivalent?Equivalent has a number of popular synonyms, including equal, identical, similar, selfsame, and extremely. While all of these phrases refer to anything that is "not distinct from one another" or "not diverging from another," equivalent denotes being equal in value or importance. two homes with comparable market values.
Use the distributive property
7(3n-4p+6)
7(3n - 4p + 6)
21n - 28p + 42
Use the distributive property to an equivalent expression is 21n-28p+42.
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Find Integral 0 to 1 f’(x)dx if f(5) = -7.8.
Answer:
\(-22.8\)
Step-by-step explanation:
\(\int^{1}_{0} f'(x) \text{ } dx=f(1)-f(0)=f(1)-3 \\ \\ \\ B=\int^{5}_{1} f'(x) \text{ } dx=12 \implies f(5)-f(1)=12 \\ \\ -7.8-f(1)=12 \implies f(1)=-19.8 \\ \\ \therefore f(1)-3=-19.8-3=-22.8\)
consider the following statement: newexample = (50 <= 75) ? 50-75 : 75-50; what is the value of the variable newexample?
the value of the variable newexample is -25.The given statement is a conditional (ternary) operator expression in the form:
condition ? expression1 : expression2
If the condition (50 <= 75) is true, then the value of newexample will be expression1 (50-75). If the condition is false, then the value of newexample will be expression2 (75-50).
Since 50 is indeed less than or equal to 75, the condition is true. Therefore, the value of newexample will be the result of expression1, which is 50-75.
Performing the subtraction, we get:
newexample = 50 - 75 = -25
Hence, the value of the variable newexample is -25.
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Refer to the number line. Find the coordinate of point D that is 7/16 M to J. of the distance from M to J.
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let us assume that point M is at (20, 1) and point J is at (4, 17), hence:
If point D(x, y) is 7/16 M to J, then:
x = (7/16)(4 - 20) + 20 = 13
y = (7/16)(17 - 1) + 1 = 8
The coordinate of point D that divides segment MJ in the ratio 7/16 is (13, 8)
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What is the name of this graph?
quadratic - degree of 2
quartic - degree of 4
cubic - degree of 3
Answer:
cubic-degree of 3
Step-by-step explanation:
its not the first two, because they have way more waves
I need help !!!!
Gene says that -2 1/8 is less than -2.25 is he correct explain your answer !
NEED HELP
If events A and B are independent, what must be true?
a.P(A|B) = P(B)
b.P(A|B) = P(A)
c.P(A) = P(B)
d.P(A|B) = P(B|A)
Answer:
Step-by-step explanation:
P(A|B)=P(A)
conditioning on one does not effect the probability of the other as they are independent
7.50x102 mm* 102.1 mm * 0.083 mm
The value of the rectangular cuboid will be 6,355.725 mm³.
Given that:
Length, L = 7.50 x 10² mm
Width, W = 102.1 mm
Height, H = 0.083 mm
A cuboid's volume is determined by multiplying its length, breadth, and height. A cuboid is a six-sided, three-dimensional geometry where the length, breadth, and height correspond to the three perpendicular sides. Add the length, breadth, and height together to obtain the volume.
The volume of the cuboid is calculated as:
V = 7.50 x 10² mm x 102.1 mm x 0.083 mm
V = 6,355.725 mm³
Thus, the value of the rectangular cuboid will be 6,355.725 mm³.
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The complete question is given below.
Determine the volume of the cuboid.
V = 7.50 x 10² mm x 102.1 mm x 0.083 mm
Your aquarium has 15 fish in it. That is 75% of the total capacity for the aquarium. How many total fish can live in your fish tank?
Answer: 20
Step-by-step explanation:
15 divided by 3 equals 5 and 15 plus 5 equals 20.
find the general solution of the given higher-order differential equation. d 4y dx4 − 2 d 2y dx2 − 8y = 0
he required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
where \(c_1,c_2,c_3\) and \(c_4\) are constants.
Let’s assume the general solution of the given differential equation is,
y=e^{mx}
By taking the derivative of this equation, we get
\(\frac{dy}{dx} = me^{mx}\\\frac{d^2y}{dx^2} = m^2e^{mx}\\\frac{d^3y}{dx^3} = m^3e^{mx}\\\frac{d^4y}{dx^4} = m^4e^{mx}\\\)
Now substitute these values in the given differential equation.
\(\frac{d^4y}{dx^4}-2\frac{d^2y}{dx^2}-8y\\=0m^4e^{mx}-2m^2e^{mx}-8e^{mx}\\=0e^{mx}(m^4-2m^2-8)=0\)
Therefore, \(m^4-2m^2-8=0\)
\((m^2-4)(m^2+2)=0\)
Therefore, the roots are, \(m = ±\sqrt{2} and m=±2\)
By applying the formula for the general solution of a differential equation, we get
General solution is, \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
Hence, the required solution is \(y=c_1e^{2x}+c_2e^{-2x}+c_3\sqrt2\cos(\sqrt2x)+c_4\sqrt2\sin(\sqrt2x)\)
where \(c_1,c_2,c_3\) and \(c_4\) are constants.
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Is the mean greater than, less than, or equal to the median?
ANSWER: The mean is less than the median which in most cases is less than the mode. The mean is more accurate but if the question comes for a double exponential distribution the median is more accurate. Finally, the mean is greater than the mode if the distribution is positively skewed. If the mean is less than the mode, the distribution is negatively skewed. If the mean is greater than the median, the distribution is positively skewed.
Step-by-step explanation:
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
Answer:
u fking b
ur bad
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
Answer:
solution is (-2, 2) so x-coordinate of solution is -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
First, we have to write down both equations.
y = x + 4
3y = -2x + 2
Now we already have an equation that we can plug into the other equation.
= 3(x + 4) = -2x + 2
= 3x + 12 = -2x + 2
= 5x + 12 = 2
= 5x = -10
x = -2
Now we know that x = -2, and the question asks for the x-coordinate, which is -2.
I need help pleasee!
Answer:
a. After 10 minutes of hiking, Kiran will have covered a distance of:
distance = rate × time
distance = 0.04 mile/min × 10 min
distance = 0.4 mile
So, his remaining distance on the trail will be:
remaining distance = total distance - covered distance
remaining distance = 1.8 mile - 0.4 mile
remaining distance = 1.4 miles
Therefore, Kiran's remaining distance on the trail after 10 minutes of hiking is 1.4 miles.
b. We can use the same formula to find out how far Kiran will have walked after a certain amount of time:
distance = rate × time
We know that Kiran walks at a rate of 0.04 mile a minute, and we want to find out how much time it will take him to cover the remaining distance of 0.2 mile. So we can rearrange the formula to solve for time:
time = distance / rate
time = 0.2 mile / 0.04 mile/min
time = 5 minutes
Therefore, Kiran will have 0.2 mile left on the trail after 5 minutes of walking.
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matlab
For \( x=[5,10,15] \) Write the Program that calculates the sum of \( (1+x) e^{x}=\sum_{n=0}^{\infty} \frac{n+1}{n !} x^{n} \) the general term for the sum in this Program is an and \( n \) term Error
The final results are stored in the sum_result and error_term arrays.
Here's a MATLAB program that calculates the sum of the given series and calculates the error term for each term in the series:
% Define the values of x
x = [5, 10, 15];
% Initialize the sum and error variables
sum_result = zeros(size(x));
error_term = zeros(size(x));
% Calculate the sum and error term for each value of x
for i = 1:numel(x)
current_x = x(i);
current_sum = 0;
current_error = 0;
% Calculate the sum and error term for the series
for n = 0:100
term = ((n+1)/factorial(n)) * current_x^n;
current_sum = current_sum + term;
% Calculate the error term
error = abs(term - current_sum);
current_error = current_error + error;
% Break the loop if the error becomes negligible
if error < 1e-6
break;
end
end
% Store the sum and error term for the current x value
sum_result(i) = current_sum;
error_term(i) = current_error;
end
% Display the results
disp("Value of x: ");
disp(x);
disp("Sum of the series: ");
disp(sum_result);
disp("Error term for each term: ");
disp(error_term);
In this program, we define the values of x as an array [5, 10, 15]. Then, we iterate over each value of x and calculate the sum of the series using a nested loop. The inner loop calculates each term of the series and accumulates the sum, while also calculating the error term for each term. The inner loop stops when the error becomes negligible (less than 1e-6). The final results are stored in the sum_result and error_term arrays.
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The data show the times, in minutes
and seconds, for swimmers to swim
a 400-m freestyle race.
3:28, 2:56, 4:25, 3:42, 5:33, 3:57, 3:45,4:29, 5:03, 4:55, 3:58, 255, 4.17, 3:29,4:31, 3:30, 4:12, 4:21, 4:53, 5:06, 4:47,3:50, 4:28, 4:09, 5:01, 3:46, 4:27, 4:51, 5:12, 4:58
a) Convert the data to seconds.
Display the data using a
stem-and-leaf plot.
b) State the range, median, and
mode of the data.
c) Use the stem-and-leaf plot to
set up a frequency table with
intervals.
d) How does the frequency table
differ from the stem-and-leaf
plot?
The solution for the data shows the times, in minutes and seconds, for swimmers to swim a 400-m freestyle race has been shown below.
What is Statistic?The statistic is the study of mathematics that deals with relations between comprehensive data.
a) To convert the data to seconds, we can multiply the minutes by 60 and add the seconds. For example, 3:28 is equivalent to 3 x 60 + 28 = 208 seconds.
Here is the data converted to seconds,
208, 176, 265, 222, 333, 237, 225, 269, 303, 295, 238, 255, 257, 209, 271, 210, 252, 261, 293, 306, 287, 230, 268, 249, 301, 226, 267, 291, 312, 298
b) To find the range, we subtract the smallest value from the largest value,
Range = 333 - 176 = 157 seconds
To find the median, we need to first arrange the data in order from smallest to largest, we need to find the average of the two middle values, which are 269 and 271,
Median = (269 + 271) / 2 = 270 seconds
To find the mode, we look for the value that appears most frequently in the data
Mode = 268 seconds
c)
1 | 7
2 | 002256789
3 | 00835577
4 | 01245899
5 | 0136
6 | 7
7 | 1
Interval Frequency
170-199 seconds 1
200-229 seconds 7
230-259 seconds 8
260-289 seconds 7
290-319 seconds 4
320-349 seconds 1
d) The stem-and-leaf plot displays the actual data points, while the frequency table groups the data into intervals and displays the frequency of each interval.
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Jeff spent $50 on gifts for his tamily. The first 2 items cost a total of $15 and then he bought 2 more for a total of $20. How many additional gifts did Jeff buy if their average cost was $10 each?
The number of additional gifts Jeff can buy with the remaining cost is 1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given,
Total cost = $15 + $20 = $35
Total spent = $50
Remaining = $50 - $35 = $15
Since one gift cost $10
Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.
Hence "With the money still available, Jeff can purchase 1 more present".
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please help me!
NO BOTS
Answer:
16 < 24 < 25
Step-by-step explanation:
√16 = 4
√25 = 5
Which shows an equivalent decimal, fraction and percent
A-0. 125,1/8,12. 5%
B-0. 20,1/10,20%
C-0. 45,4/5,45%
D-0. 60,2/3,66%
An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.
To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.
Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.
The other options do not have equivalent representations of decimals, fractions, and percentages.
In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.
Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).
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