What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of p
Dennies and d dimes?
Answers
Answer:
32 cents? This is a weird phrased question!
Step-by-step explanation:
Related Questions
which of the following is not a characteristic of the normal probability distribution? 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.
Answers
The false statement regarding the normal distribution is given as follows:
99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The percentage of scores within 1 standard deviation of the mean is obtained considering that:
The p-value of Z = 1 is of 0.8413.The p-value of Z = -1 is of 0.1587.Hence the percentage is given as follows:
84.13 - 15.87 = 68.26%, which is different of 99.72%.
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The correct answer is that all of the following are characteristics of the normal probability distribution as given below.
What is a probability?A subfield of statistics known as probability studies random events and their likelihood of happening.
The statement "99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean" is actually a characteristic of the normal probability distribution.
The correct answer is that all of the following are characteristics of the normal probability distribution:
It is a continuous probability distribution, which means that it can take on any value within a certain range.It is symmetric around its mean.It is described by two parameters: its mean and standard deviation.The area under the curve of the probability density function is equal to 1.A large proportion (68.27%) of the data falls within one standard deviation of the mean, an even larger proportion (95.45%) falls within two standard deviations of the mean, and an even larger proportion (99.73%) falls within three standard deviations of the mean.To know more about probability, visit:
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Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Answers
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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One-third of the total number of marbles in a jar are red and blue. There are 18 red marbles and 16 blue marbles. How many marbles are in the jar?
Answers
Answer:
There are 102 marbles in the jar
Step-by-step explanation:
16+18 = 34
34 = 1/3
3×34 = total marbles
3×34 = 102
If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?
Answers
CALCULATOR COLOR THEME 0 ZOOM 2. Danielle wants to translate triangle XYZ so that vertex Yis mov (-4,2) to (0,-3). Which of the following mappings can be used to coordinates of Xand Z?
Answers
Answer:The answer is (x,y)->(+4,y-5)
Step-by-step explanation:
since -4 to 0 is + 4 and 2 to -3 is -5
The correct mapping is (x, y) ⇒ (x + 4, y - 5)
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point up, down, right or left in the coordinate plane. If a point A(x, y) is moved a units right and b units down, the new location would be at A(x + a, y - b).
Since the vertex Y(-4, 2) was translated to Y'(0, -3), hence the triangle was translated 4 units to the right (-4 + 4 = 0) and 5 units down (2 - 5 = -3). This can be represented by the mapping:
(x, y) ⇒ (x + 4, y - 5)
Therefore to find x and z coordinates, use the mapping:
(x, y) ⇒ (x + 4, y - 5)
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The product of 7 and b is equal to 63
Answers
Answer:
Step-by-step explanation:
7b=63
b=9
Find the mean of the following data 0,5,30,25,16,18,19,26,0,20,28 A. 0 B. 18 C. 19 D. 17
Answers
The mean of the following data 0,5,30,25,16,18,19,26,0,20,28 is 17.
Hence option D is the correct option.
Mean is the average value of a given set of data. It is calculated by the formula,
Mean = {Summation of all the values in the data set} / {Number of observations is the data set}
That is, Mean = {Σ all values in the data set} / {number of observations}
The given data set is as follows,
0,5,30,25,16,18,19,26,0,20,28
The number of observations in the data set is 11.
The summation of all the values in the data set is = {0 + 5 + 30 + 25 +
16 + 18 + 19 +26 + 0 + 20 + 28} = 187
Therefore, by applying the formula of Mean we get
Mean = 187/ 11 = 17
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Sam is playing a game where he flips a coin and rolls a number cube labeled 1 through 6. He listed the possible outcomes in the sample space shown:
{(H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}
Which two elements did he leave out by mistake?
A) (H, 1) and (T, 6)
B) (H, 6) and (T, 1)
C) (H, 2) and (T, 6)
D) (T, 1) and (T, 6)
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
determine whether the mean value theorem can be applied to f on the closed interval [a, b]. (select all that apply.) f(x) = 6 − x , [−3, 6]
Yes, the Mean Value Theorem can be applied.
a. No, f is not continuous on [a, b].
b. No, f is not differentiable on (a, b).
c. None of the above.
Answers
Yes, the Mean Value Theorem can be applied to f on the closed interval [a, b] because f is both continuous and differentiable on (a, b).
Yes, the Mean Value Theorem can be applied.
To apply the Mean Value Theorem, a function must meet two criteria on the closed interval [a, b]:
1. Continuous on the closed interval [a, b]
2. Differentiable on the open interval (a, b)
For the function f(x) = 6 - x on the interval [-3, 6]:
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Which option best shows X < -15
Answers
Answer:
The correct answer is letter A.
Explain how you used the distribute property to find an equivalent expression for
2 (3+8)
WORTH 10 POINTS
Answers
13 would be ur answer
Which value of x is the solution of the equation (2/3)x+(1/2) =(5/6)
Answers
Answer:
1/2
Step-by-step explanation:
Step 1:
4/6x + 3/6 + 5/6
Step 2:
4/6x = 2/6
Step 3:
2/6 times 6/4
Answer:
1/2
Hope This Helps :)
PLZZZ HELPP 3+7 - 1/2 is an example of A. a numerical equation B. an algebraic equation C. a numerical expression D. an algebraic expression
Answers
Answer:
A. a numerical equation
Step-by-step explanation:
Write in standard form the equation of the parabola passing through the given points. (-1,-6),(-3,-4),(2,6) .
Answers
The standard form refers to the usual or standard way of representing a mathematical expression or equation. It is often used to express numbers in a simplified or standardized format.
The standard form of the equation of a parabola is given by the equation y = ax^2 + bx + c.
To find the equation of the parabola passing through the given points (-1,-6), (-3,-4), and (2,6), we can substitute the x and y values of each point into the equation and solve for the coefficients a, b, and c.
Let's start by plugging in the first point (-1,-6) into the equation y = ax^2 + bx + c:
-6 = a(-1)^2 + b(-1) + c
Simplifying this equation, we get:
-6 = a - b + c ------ (1)
Next, let's substitute the second point (-3,-4) into the equation:
-4 = a(-3)^2 + b(-3) + c
Simplifying this equation, we get:
-4 = 9a - 3b + c ------ (2)
Finally, let's substitute the third point (2,6) into the equation:
6 = a(2)^2 + b(2) + c
Simplifying this equation, we get:
6 = 4a + 2b + c ------ (3)
Now, we have a system of three equations (equations 1, 2, and 3) with three variables (a, b, and c). We can solve this system of equations to find the values of a, b, and c.
By solving the system of equations, we find that a = -1, b = 4, and c = -1.
Therefore, the equation of the parabola passing through the given points (-1,-6), (-3,-4), and (2,6) in standard form is:
y = -x^2 + 4x - 1.
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The equation of the parabola passing through the points (-1, -6), (-3, -4), and (2, 6) in standard form is:
\(y = -42x^2 - 56x/3 - 14/3\)
To write the equation of a parabola passing through the given points (-1, -6), (-3, -4), and (2, 6) in standard form, we can use the general equation of a parabola, which is:
\(y = a(x - h)^2 + k\)
where (h, k) represents the vertex of the parabola.
Step 1: Find the vertex of the parabola.
To find the vertex, we can use the formula:
h = (x1 + x2 + x3)/3
k = (y1 + y2 + y3)/3
Substituting the given points into the formulas:
h = (-1 - 3 + 2)/3 = -2/3
k = (-6 - 4 + 6)/3 = -4/3
Therefore, the vertex of the parabola is (-2/3, -4/3).
Step 2: Use the vertex and one of the given points to find the value of 'a'.
Substituting the coordinates of the vertex and one of the given points into the equation, we get:
\(-6 = a(-1 - (-2/3))^2 - 4/3\\ -6 = a(-1 + 2/3)^2 - 4/3\\ -6 = a(-1/3)^2 - 4/3\\ -6 = a(1/9) - 4/3\\ -6 = a/9 - 4/3\\\)
To eliminate the fractions, we can multiply the entire equation by 9:
-54 = a - 12
Simplifying the equation, we have:
a = -42
Step 3: Write the equation of the parabola.
Now that we have the value of 'a' and the coordinates of the vertex, we can write the equation of the parabola:
\(y = -42(x + 2/3)^2 - 4/3\)
To put it in standard form, we can expand and simplify:
\(y = -42(x^2 + (4/3)x + 4/9) - 4/3\\ y = -42x^2 - 56x/3 - 14/3\\\)
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evaluate ∫(−4x6−x5−5x3 2)dx. do not include c in your answer
Answers
The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.
Why do aerobic processes generate more ATP?
Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.
How much ATP is utilized during aerobic exercise?
As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.
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please answer also this will give u 100 points
Answers
Answer:
Step-by-step explanation:
Slope is gradient which is, change in y
change in x
so, on the graph, change in y = 10-2.5 = 7.5
change in x = 5-0 =5
so, gradient is, 7.5/5
= 3/2
Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the simple interest rate is 2.5%
Answers
Answer:
6750
Step-by-step explanation:
simple interest = P×r%×t
P = $6000
r = 2.5%
t = 5 years
I = 6000 × 2.5/100 × 5
= 750
6000 + 750 = $6750
If the slope of a line is 3, what is the slope of the line that is parallel to it?
Answers
Answer:
3
Step-by-step explanation: If they are parallel, the lines will always run the same distance apart and never intersect. If the slopes are different, they will intersect at some point
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
Answers
The equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
How to determine the true equations?We have:
x = -2 and x = 2
Rewrite as:
x + 2 = 0 and x - 2 = 0
Multiply both equations
(x + 2)(x - 2) = 0
This gives
x^2 - 4 = 0 --- option (a)
Add 4 to both sides
x^2 = 4
Multiply by 4
4x^2 = 16 --- option (d)
Hence, the equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
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Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
Answers
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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Valerie took a quiz with 10 questions. If she answered 2/5 of the questions correctly, how many did she get wrong?
Answers
Answer:
3/5; 6 questions
Step-by-step explanation:
She got 3/5 of the questions wrong
So,
3/5 of 10 = 3 * 2 = 6 questions
Answer:
3/5 = 6/10
Step-by-step explanation:
Valerie only got 4 questions correct meaning she got 6 questions incorrect.
2/5 = 4/10
which means
3/5 = 6/10.
Meaning she only got 6 wrong.
Roberto' employer offer a liding paid vacation. When he tarted work, he wa given three paid day of vacation. For each ix-month period he tay at the job, hi vacation i increaed by two day. Let x repreent the number of 6-month period worked and y repreent the total number of paid vacation day. Write an equation that mode the relationhip between thee two variable
Answers
An equation that mode the relationship between thee two variable is y=2x+3 .
Let x represent the number of 6-month period worked
Let y represent the total number of paid vacation day
According to the question,
When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.
Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19
An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).
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What is the area of the pentagon shown?
Answers
Answer:
The area of the pentagon is: 354
Step-by-step explanation:
First draw two auxillery lines in the upper left hand corner to make a rectangle, and a right triangle.
Now that we have a rectangle we can find its area:
18·20=360
To find the lengths of the triangle sides:
20-16=4
18-15=3
Area of a right triangle formula: (leg a · leg b)/2
3·4=12 12/2=6
Now subtract the area of the triangle from the rectangle:
360-6=354
Answer:
354
Step-by-step explanation:
what super hero will u be in marvle and dc
marvel
a
hulk
b
thor
c
blackpanther
d
captain america
dc
a
batman
b
superman
c
flash
d
green lantern
Answers
Answer:
marvel - c
dc - d
Answer:
marvel c dc c
Step-by-step explanation:
Oscar spent a weekend in Puerto Rico. He took 20 pictures of the rain forest, 20 pictures at the beach, and 20 pictures of a fort. Which multiplication expression shows how many pictures he took? Which addition expression shows how many pictures he took? How many total pictures did Oscar take?
Answers
Answer: A multiplication expression that shows how many pictures Oscar took is 3 x 20. An addition expression that shows how many pictures Oscar took is 20 + 20 + 20. The total number of pictures Oscar took is 60.
Step-by-step explanation: A multiplication expression is a way of showing repeated addition of the same number. For example, 3 x 20 means adding 20 three times: 20 + 20 + 20. This expression can be used to show how many pictures Oscar took because he took the same number of pictures (20) in three different places (rain forest, beach, fort). To find the total number of pictures, we can multiply 3 by 20 and get 60.
An addition expression is a way of showing the sum of two or more numbers. For example, 20 + 20 + 20 means adding 20 to itself two times and then adding the result to another 20. This expression can also be used to show how many pictures Oscar took because he took 20 pictures in each place and we can add them together. To find the total number of pictures, we can add 20 to itself three times and get 60.
The total number of pictures Oscar took is the same whether we use multiplication or addition, because these operations are related by the distributive property. This property states that a x (b + c) = a x b + a x c. For example, 3 x (20 + 20) = 3 x 40 = 120 and 3 x 20 + 3 x 20 = 60 + 60 = 120. In this case, we can use the distributive property to show that 3 x (20 + 20 + 20) = 3 x (60) = 180 and 3 x 20 + 3 x 20 + 3 x 20 = 60 + 60 + 60 = 180. Therefore, the total number of pictures Oscar took is equal to either expression: 60.
Hope this helps, and have a great day! =)
Answer:
multiplication expression is 3×20
addition expression is 20+20+20
tatal pictures is 60
How many powers of 7 are contained in 10?
Answers
There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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There is only 1 power of 7 contained in 10.
Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.
Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.
The digit in the tens place is the same.
The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.
The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.
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To get from one term to the next in a sequence, we multiply by 2 and then
add 4.
The third term in the sequence is 48.
What is the first term in the sequence?
Answers
Answer: the first term in the sequence is 9.
Step-by-step explanation:
Let the primary term be x.
At that point the moment term is 2x + 4.
And the third term is 2(2x + 4) + 4 = 4x + 12.
Since the third term is given as 48, we will set up an condition and unravel for x:
4x + 12 = 48
4x = 36
x = 9
Find the value of x.
Answers
Answer:
the value of x is 21
Step-by-step explanation:
x=7+4+10
x=21
Which of the following transformations are linear? Select all of the linear transformations. There may be more than one correct answer: Be sure you can justify your answers ~8 A T(A) = ASA-I from R2x2 to R2x2 where S = 55 B. T(A) = A from R2xs to R2x5 ~9 -2 C.T(A) = A from R to RZx2 D. T(A) = 2A from R6x4 to R6x4 ET(A) = A A from R2x2 to R 2x2 5 JET(A) = A+ Is from RSx5 to RSx5
Answers
A, C, and E are linear transformations. To justify: A: T(A) = ASA-I is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.
C: T(A) = A from R to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R. This can be shown by plugging in kA for A in T(A) and simplifying.
E: T(A) = A from R2x2 to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.
B, D, and J are not linear transformations.
To justify:
B: T(A) = A from R2xs to R2x5 is not linear because it does not satisfy the additivity property of linearity. Specifically, T(A+B) ≠ T(A) + T(B) for some matrices A and B in R2xs.
D: T(A) = 2A from R6x4 to R6x4 is not linear because it does not satisfy the homogeneity property of linearity. Specifically, T(kA) ≠ kT(A) for some scalar k and matrix A in R6x4.
J: T(A) = A+Is from RSx5 to RSx5 is not linear because it does not satisfy either the additivity or homogeneity properties of linearity. Specifically, T(A+B) ≠ T(A) + T(B) and T(kA) ≠ kT(A) for some matrices A and B in RSx5 and scalar k.
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g a population has a mean of 48 and a standard deviation of 5. if it is sampled repeatedly with samples of size 36, what is the mean and standard deviation of the sample means?
Answers
The mean of the sample will remain 5 but the standard deviation will be 0.83 .
The standard deviation is actually a statistic that conveys the degree of volatility or dispersion in a set of numerical values.
A low standard deviation indicates that the values tend to be closer to the mean (also known as the predicted value) of the collection, whereas a variance denotes that the values are spread over a broader range.
The two symbols most usually used in mathematical publications to denote standard deviation in equations are the lower case Greek letter (sigma) for population standard deviation and the Latin symbol s for sample standard deviation.
given the mean and the standard deviation for the population are 48 and 5 respectively.
Now the sample size that is picked is 36.
Hence the new mean of the sample will be the same as the old mean,
hence mean = 5
Standard deviation = 5 ÷√n = 5 ÷ √36 = 5 ÷ 6 = 0.83
Hence the mean of the samples will remain 5 but the standard deviation will be 0.83 .
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