Answer:
1. $15 x .3 = $4.50
2. $15 - $4.50 = $10.5
3. $15 x 1/4 = $3.75
4. $15 - $3.75 = $11.25
5. The better deal is 30% off because $4.50 is a greater savings than $3.75
two six-sided dice are rolled. what is the size of the sample space that corresponds to the event that both dice are odd?
When rolling a single six-sided die, there are three odd numbers: 1, 3, and 5, and three even numbers: 2, 4, and 6. Since we are rolling two dice, each with six possible outcomes, there are a total of $6 \times 6 = 36$ possible outcomes.
To find the sample space corresponding to the event that both dice are odd, we need to determine all possible outcomes in which both dice land on odd numbers. There are three odd numbers on each die, so there are three possibilities for the first die and three possibilities for the second die, for a total of $3 \times 3 = 9$ outcomes where both dice are odd.
Therefore, the size of the sample space that corresponds to the event that both dice are odd is 9.
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Find the area of each figure below.
Answer:
486 in. & 93 m.
Step-by-step explanation:
a.
The shape shown in part a is a rectangle.
The formula is:
a=b*h
base= 27
height/length= 18
27*18=486
Therefore, the area will be equal to 486 in.
b.
The shape shown in part b is a triangle.
The formula is:
a=1/2b*h
base= 20.75
height=9 (make sure you take the altitude of the triangle, not the slant height)
1/2*20.75*9=93.375
Therefore, the area of the triangle is 93.375 m.
Rounding —> 93 m
show directly that the series for j0(x), eq.(7), converges for all x
Hence proved ,the series for j 0(x) converges for all x .
What is the series ?A series in mathematics is the process of adding an unbounded number of quantities, after the one other, to a specified initial amount. A significant component of calculus and its generalization, mathematical analysis, is the study of series.
What is the converges series?Then we call that the series has converged and in that case we define the total of the series as the limit of the partial sums,When the sequence of partial sums in a series are converges.
J 0(x) is called the Bessel function of the first kind of order zero,
we know that , \(J0(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...\)is called JO(x) series,
We use the ratio test to determine that this series converges for all values of x.
According to the ratio test, the series of the form \(\frac{a_(n+1)}{a_n}\) also converges if the series JO(x) converges. The series converges if it is less than 1. and diverges if the limit of the ratio test is greater than 1,
Let a use the ratio test for the J0(x) series:
let a consider term is R=\(((a_(n+1))/a_n) = (x^2_(n+2)) / [(2n+2)(2n+1)] / (x^2n) / [(2n)(2n-1)] | = | x^2 / [(2n+2)(2n+1)] |\)
Considering the limit as n tends to infinity:
\(\lim_{n \to \infty} |a_(n+1) / a_n) |=\lim_{n \to \infty} | x^2 / [(2n+2)(2n+1)] = 0\)
For all values of x, the series converges since the limit is less than 1.
therefore the J 0(x) series converges for all x.
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evaluate the expression when a = 3 b = -1 and c = -2
|a-b-c|
Please answer quick
Answer:
6
Step-by-step explanation:
a: 3
b: -1
c: -2
3 - - 1 = 3 + 1 = 4
4 - - 2 = 4 + 2 = 6
Your answer is 6
The simplification of the expression when a = 3 b = -1 and c = -2 will be; 6.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the expression as; |a-b-c|
Now substituting a = 3 b = -1 and c = -2
|a-b-c|
|3 - (-1) - (-2)|
Solving the equation;
|3 + 1 + 2| = 6
Hence, the answer is 6
The simplification of the expression when a = 3 b = -1 and c = -2 will be; 6.
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If y varies drectly with x
and y= 4.5 when x= 2.5,
what is y when x= 12?
Part C
How do the signs of b and c in standard form, x2 + bx + c, affect the signs of p and q in factored form, (x + p)(x +q)?
When 'c' is negative both p and q would have the same sign and when opposite signs whereas when b is positive and negative, both would have positive and negative signs respectively.
How the signs affect the factored formThe ways in which the signs of 'b' and 'c' affect the form include;
if c is negative, then p and q have opposite signs.If c is positive, then p and q have the same signs. If b is negative, both the signs of p and q would be negative. Also, if b is positive, then the signs of both p and q would be positive.Learn more about quadratic equations here:
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scores on the act college entrance exam follow a bell-shaped distribution with mean 21 and standard deviation 5. wayne’s standardized score on the act was −0.6 . what was wayne’s actual act score?
Wayne's Actual ACT score is 19.2 where mean is 21, standard deviation is 5 and the Z - score is -0.6.
Standard Deviation:
Standard deviation is a measure of the dispersion of a set of numerical values from their mean.
The general form of the standard deviation is,
\(SD=\sqrt{\frac{\sum (x_i-\bar{x})}{n} }\)
where
xi is each value in the data set,
x-bar is the mean, and
n is the number of values in the data set.
Given,
Mean = 21.
Standard deviation = 5
Wayne's standardized score on the act = −0.6 .
Here we need to find the Wayne's Actual ACT score.
Let x be the Wayne's Actual ACT score.
So,
=> z-score = (x - mean)/SD
Apply the values on it,
=> -0.6 = (x - 21) / 3
=> -1.8 = x - 21
=> x = 21 - 1.8
=> x = 19.2
Therefore, Wayne's Actual ACT score is 19.2
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question 16 a project has a 60% chance of doubling your investment in 1 year and a 40% chance of losing half your money. what is the standard deviation of this investment? 62% 73% 50% 25%
The standard deviation is 70 %.
What is standard deviation ?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. [1] While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Though in algebra, it is simpler.acc to our question=
To get Standard Deviation (SD), we follow the steps shown below:We need to find the difference of each number from the mean and then square it.Then take the sum of all of these values.Then divide by the number of numbers.Then take square root of that.learn more about sd click here:
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combanatorics find the number of ways to replace all the -1s in the array with an integer in the range 1 to m such that the resulting array can be represented as a wave. since the answer can be large, compute it modulo (10^9) 7.
The number of ways to replace all the -1s in the array is zero.
The array can be represented as a wave if and only if the number of -1s is even. This is because each -1 must be replaced with a positive integer in order to create a wave, and replacing one -1 with a positive integer will create a new -1 on the opposite side of the wave. Therefore, if there are an odd number of -1s, it is impossible to create a wave.
In the given array, there are 7 -1s, which is an odd number. Therefore, it is impossible to replace the -1s with positive integers in such a way that the resulting array can be represented as a wave.
The number of ways to replace the -1s with positive integers in the range 1 to m is:
(m^7) mod (10^9) = (m^7)
However, since it is impossible to create a wave with this array, the final answer is 0.
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Write each number in either scientific notation or standard notation.
Part A:
The distance of the sun from the center of the Milky Way galaxy is 26,000 light years.
Answer:
In standard notation, the number is \(2.6 * 10^4\) light years
Step-by-step explanation:
We have to write the number 26,000 in standard notation,
in standard notation, there is 1 number before the decimal and all others come after the decimal and some power of 10 is multiplied depending upon the number,
in our case,
26000 = 2.6 * 10^4
(since the number is 26 thousand 2.6 ten thousand and ten thousand = 10^4)
The ratio of the number of tables to chairs in a restaurant is 4 : 9. If I remove 2 tables and 4 chairs, the ratio becomes 7 : 16. How many tables and chairs are left
The given problem states that the ratio of the number of tables to chairs in a restaurant is 4 : 9. After removing 2 tables and 4 chairs, the ratio becomes 7 : 16. After removing 2 tables and 4 chairs, there are 16 tables and 36 chairs left in the restaurant.
Let's assume the number of tables in the restaurant is represented by \($4x$\) and the number of chairs is represented by \($9x$\) (since the ratio is given as 4:9).
According to the given information, if 2 tables and 4 chairs are removed, the new ratio becomes 7:16. This can be represented as
\($\frac{{4x - 2}}{{9x - 4}} = \frac{7}{16}$\).
Cross-multiplying:
\(\[16(4x - 2) = 7(9x - 4)\]\)
Simplifying:
\(\[64x - 32 = 63x - 28\]\)
Subtracting \($63x$\) from both sides and adding 32 to both sides:
\($x = 4$\)
Now, we can find the number of tables and chairs left by substituting \($x = 4$\) them back into the initial representation:
The number of tables: \($4x = 4(4) = 16$\)
The number of chairs: \($9x = 9(4) = 36$\)
Therefore, there are 16 tables and 36 chairs left in the restaurant.
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For a group of high school students, the correlation between math sat score and total sat score is about r = 0.9935. what can be said about r2? note: r2 = 0.987.
Math SAT scores explain about 98.7% of the variation in the total SAT scores.
What is a correlation?In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.
A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.
Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.
In context, math SAT score explains about 98.7% of the variation in total SAT score.
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Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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pls help fast
Evaluate the expression given the function below
What is g(b+c) for the function
g(x)=-3x+1?
Show your work
To evaluate the expression g(b+c) for the function g(x)=-3x+1, we substitute b+c for x in the function and simplify as follows:
g(b+c) = -3(b+c) + 1 [substitute b+c for x in g(x)]
= -3b - 3c + 1 [distribute the -3]
Therefore, g(b+c) = -3b - 3c + 1.
0.5 of what number is 12 and what is the equation to represent this problem? Include a variable
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!V
Answer:
12+12+14+15+16+18+20+23=130
130÷8=16.25
aanswer=16
you move 89 as its anomalous
too higher than the other numbers
Kimberly had a coupon for 15% off the purchase of one item she decided to buy a pair of jeans that was on sale for 2/3 of the original price after using the coupon Kimberly only pay $10 for the pair of jeans what was the original price of the jeans
Answer
Price after discount: $50.99
You saved: $9.00
With original price $59.99 and 15% discount,
Help me pls. this is due tonight
Answer:
8
Step-by-step explanation:
Jenna’s method: mia’s method: 5(30 4) 5(30 4) (5)(30) (5)(4) 5(34) = 170 150 20 = 170 explain why both jenna and mia arrived at the same answer and the advantage of one method over the other.
The steps in Mia's method were smaller than in Jenna's, which was an advantage.
What is distributive property and direct calculation?The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.
The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.
Jenna's technique:
\(\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}\)
Mia's technique:
\(\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}\)
Find: What was the benefit of using one method over the other and why did Jenna and Mia arrive at the same conclusion?Future:Both used the right approach, albeit in different ways.
One uses the distributive property, whereas the other uses direct calculation.
Consequently, Jenna and Mia came to the same conclusion.
However, Mia's approach has one advantage over Jenna's: it requires fewer steps.
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Solve for x: x/7 - 3 ≥ 8.
Answer:
x is more than or equal to 77
Step-by-step explanation:
Which is the graph of linear inequality 6x + 2y > –10?
On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded. Please hurry, I'm being timed
Answer: c i think
Step-by-step explanation: c
Answer: Graph C
Explaination: took the quiz
Find the length of the missing side of the right triangle.
24 ft
7 ft
O 25 ft
O 31 ft
O 22.96 ft
O 625 ft
Answer:
25 ft
Step-by-step explanation:
Side² = 24² + 7² = 625
√625 = 25 ft
f(x) = ^3√4x
g(x) = 3x + 5
Find (f/g)(x). Include any restrictions on the domain.
The required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
How to Simplify Algebraic Functions?Given the functions;
f(x) = ∛4x
g(x) = 2x + 3
We want to find the resulting function (f/g)(x);
(f/g)(x) = f(x)/g(x)
Thus, (f/g)(x) = ∛4x/(2x + 3)
Restriction to the function occurs at the point where the denominator is equal to zero.
Thus;
2x + 3 = 0
2x = -3
x = -3/2
Thus, the required function (f/g)(x) is 3√4x/2x+3 where x ≠ -3/2
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Three of the following are examples of instrumental (operant) conditioning. Which one is not? Explain!!
a. When Raluca’s teacher praises her in class for her fine oral description of a mathematical problem, Raluca is embarrassed and vows never to act so smart in front of her friends again.
b. When Diallo changes the time of day that he does his homework, and finds that he is doing better than ever, he continues to do his homework at that new time.
c. When Danny tells a funny joke, his classmates all laugh. Danny soon becomes the class clown, telling jokes at every opportunity.
d. When Michelle discovers that she can leave her mathematics class early by complaining about a stomachache, she begins to get these "stomachaches" about once a week.
The example that is not an example of instrumental (operant) conditioning is option a.
When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.
Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.
Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.
In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.
In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.
However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.
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Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient z/w on the complex plane?
z is scaled by a factor of One-fifth and rotated 90 degrees clockwise.
z is scaled by a factor of 1 and rotated 90 degrees clockwise.
z is scaled by a factor of 1 and rotated 90 degrees counterclockwise.
z is scaled by a factor of One-fifth and rotated 90 degrees counterclockwise.
The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise
How to find Complex Trigonometric numbers?
We are given;
z = 3(cos(15°) + i sin(15°))
w = 5(cos(90°) + i sin(90°))
Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.
Thus, option A is the correct answer.
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PLEASE HELP!!!
The line plots show the number of kilometers that Jen and Denisha biked each week for 10 weeks.
Based on the data, who is more likely to ride a greater distance in the eleventh week? Move a word to each blank to complete the sentence. ____ is more likely to ride a greater distance because the ____ of her data is greater ^image
Jen
Mean
Mode
Denisha
Range
Answer: first blank: jen
second blank: mean
Step-by-step explanation:
N/A
the digit in the 6 in which number represents a value of
choose 1 answer:
A.5,716
B.186,200
C.644
Answer:
down below
Step-by-step explanation:
we dont know what the number is
help please and thank you.
Answer:
the answer is C 7/4
Step-by-step explanation:
goes up 7 and over 4
Seven baby are born to a family. P("born child is boy")=0.5 and if a child is not boy, she is girl. What is the probability, that
a) all the seven children are boys? b) all the children are not of the same sex? c) at least four of the children are girls?
The probability that
a) all seven children are boys is 0.0078 or around 0.78%.
b) all the children not of the same sex is 0.9844 or roughly 98.44%.
c) at least four of the children are girls is 0.2734, or roughly 27.34%.
a) The likelihood of a child being a boy is 0.5, and expecting that the sexual orientation of each child is free of the others, the likelihood of all seven children being boys is (0.5)\(^7\), which is 0.0078 or around 0.78%.
b) The likelihood of all children not being of the same sex is the complement of the likelihood that they are all of the same sex. There are two cases to consider:
either all the children are boys or all the children are young ladies. We as of now calculated the likelihood of all the children being boys in portion which is 0.0078.
The likelihood of all the children being young ladies is additionally (0.5)\(^7\), which is additionally 0.0078. In this manner, the likelihood of all the children being of the same sex is 0.0078 + 0.0078 = 0.0156, and the likelihood of all the children not being of the same sex is
1 - 0.0156 = 0.9844 or roughly 98.44%.
c) The likelihood of at slightest four of the children being young ladies can be calculated utilizing the binomial dispersion. The likelihood of a young lady is 0.5, and the likelihood of a boy is too 0.5.
The likelihood of getting at slightest four young ladies can be calculated by including the probabilities of getting precisely 4, 5, 6, or 7 young ladies. Utilizing the binomial equation, the likelihood of getting precisely k young ladies out of n children is given by:
P(k young ladies) = (n select k) * \((0.5)^k * (0.5)^(n-k)\)
where (n select k) is the binomial coefficient, which speaks to the number of ways to select k things out of n things. Utilizing this equation, we are able to calculate the likelihood of getting at slightest four young ladies as takes after:
P(at slightest 4 girls) = P(4 young ladies) + P(5 young ladies) + P(6 young ladies) + P(7 young ladies)
= \((7 select 4) * (0.5)^4 * (0.5)^3 + (7 select 5) * (0.5)^5 * (0.5)^2 + (7 select 6) * (0.5)^6 * (0.5)^1 + (7 select 7) * (0.5)^7 * (0.5)^0\)
= 0.2734
Hence, the likelihood of at slightest four of the children being young ladies is 0.2734, or roughly 27.34%.
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Rebekah manages a yoga studio that charges each customer a one-time initial fee of \$35$35dollar sign, 35 and an additional fee of \$12$12dollar sign, 12 per class taken. Rebekah's goal is for each customer to spend at least \$100$100dollar sign, 100 at the studio, and she wants to know the minimum number of classes a customer needs to take to meet that goal.
Let CCC represent the number of classes a customer takes.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
35+C \leq 10035+C≤10035, plus, C, is less than or equal to, 100
(Choice B)
B
35+C \geq 10035+C≥10035, plus, C, is greater than or equal to, 100
(Choice C)
C
35+12C \leq 10035+12C≤10035, plus, 12, C, is less than or equal to, 100
(Choice D)
D
35+12C \geq 10035+12C≥10035, plus, 12, C, is greater than or equal to, 100
2) What is the minimum number of classes a customer can take for Rebekah to meet her goal?
When the one time initial fee is $35 and additional fee of $12 per class. If her goal is for each customer to spend at least $100, then the minimum number of class she can attend to meet the goal is 6 class.
The one time initial fee = $35
The addition fees per class taken = $12
The amount of money that she has = $100
Consider the number of class as c
Then the inequality equation will be
35 + 12c ≥ 100
Solve the inequality and find the value of c
12c ≥ 100-35
12c ≥ 65
c ≥ 65/12
c ≥ 5.41
Hence, when the one time initial fee is $35 and additional fee of $12 per class. If her goal is for each customer to spend at least $100, then the minimum number of class she can attend to meet the goal is 6 class.
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