With a greater mean value , we can conclude that the sixth period class test was better than the second period .
Calculating the mean of each classSecond period class:
Mean = (55+70+6*75+6*80+2*85+3*90+95)/20
Mean = 1590/20 = 79.5
Sixth period class:
Mean = (65+3*75+5*80+6*85+3*90+2*95)/20
Mean = 1660/20 = 83
Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .
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z=5 is a solution choose 3 answers
A
8=z+3
B
z-1=6z
C
20=40÷z
D
12z=60
E
12+z=60
Answer:1. (a) 8=z-3 ---> z=5
2.(d) 12z=60----> z=5
3.(e) 12+z=17 ----> z= 5
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
A. 8 = z + 3 → subtract 3 from both sides:
5 = z
-------------------------------------------------------------------
B. z - 1 = 6z → subtract z from both sides:
-1 = 5z → divide both sides by 5:
-0.2 = z
--------------------------------------------------------------------
C. 20 = 40 ÷ z → multiply both sides by z:
20z = 40 → divide both sides by 20:
z = 2
--------------------------------------------------------------------
D. 12z = 60 → divide both sides by 12:
z = 5
---------------------------------------------------------------------
E. 12 + z = 60 → subtract 12 from both sides:
z = 48
Patricia bought 4 apples and 9 bananas for $12. 70. Jose bought 8 apples and 11 bananas for $17. 70 at the same grocery store.
What is the cost of one apple?
The cost of one apple is $0.70.
Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:
4a + 9b = 12.70 ...(1)
8a + 11b = 17.70 ...(2)
To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:
32a + 72b = 101.60
-32a - 44b = -70.80
Adding these two equations, we get:
28b = 30.80
Simplifying and solving for "b", we get:
b = 1.10
Now, we can substitute the value of "b" in equation (1) and solve for "a":
4a + 9(1.10) = 12.70
4a + 9.90 = 12.70
4a = 2.80
a = 0.70
Therefore, the cost of one apple is $0.70.
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What unit would you USE
co measure the following
items? (Inch, oot, Yard, Mile)
1. The distance from New York to Los Angeles.
2 The width of a door.
3. The distance across a football field.
4. The length of a toothbrush.
Answer:
1. Mile
2. Foot
3. Yard
4. Inch
The stock of the Smith Widget Company went up $4.50 one week, down $8.00 the next week, and up
$3.50 the week after that. What was the total change in the price of the stock during this three week
time period?
Answer:
4.50-8.00+3.50=0
0 it stays the same
the diameter of a cylinder is 6m. if the height is triple the radius, what is the volume of the cylinder
The volume of the cylinder is 81π cubic meters.
The volume of a cylinder
Volume = π × radius² × height
The diameter of the cylinder is 6m, we can determine the radius by dividing the diameter by 2
Radius = diameter / 2 = 6m / 2 = 3m
Since the height is triple the radius
Height = 3 × radius = 3 × 3m = 9m
Now we can substitute these values into the volume formula
Volume = π × (3m)² × 9m
Volume = π × 9m² × 9m
Volume = 81π m³
Therefore, the volume of the cylinder is 81π cubic meters.
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The ratio of dogs to cats in a pet store is 4 : 34:3 . The ratio of cats to fish in the same pet store is 2 : 92:9. If there are 24 dogs in the pet store, how many fish are there?
Answer: In the pet store, there are 81 fish.
Step-by-step explanation:
We know that:
The ratio of dogs to cats is 4:3
(this means that for every 4 dogs, there are 3 cats)
The ratio of cats to fish is 2:9
(this means that for every 2 cats, there are 9 fish).
Now, we know that there are a total of 24 dogs in the pet store.
Remembering that for each 4 dogs we have 3 cats, we first need to see how many times we have 4 dogs in a total of 24 dogs, this is:
24/4 = 6
So we have 6 times 4 dogs, then we will have 6 times 3 cats, this is a total of:
6*3 cats = 18 cats.
And now we know that for every 2 cats we have 9 fish.
Then we need to see how many times we have 2 cats in a total of 18 cats, this is:
18/2 = 9.
And for each one of these 9 groups, we will have 9 fish, then the total number of fish is:
9*9 = 81 fish
In the pet store, there are 81 fish.
In a double-blind, placebo-controlled experiment:
a. subjects are assigned to different treatment groups, one of which receives an inactive substance that appears to be a treatment, through random selection.
b. a subject does not know whether he or she received a treatment or an inactive substance.
c. subjects with similar characteristics are assigned to the same group.
d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.
e. a subject who received an inactive substance reports an improvement in health or behavior.
The correct statement among the options (a)-(e) is d. neither the subjects nor the people administering the treatments know who received a treatment and who received an inactive substance.
In a double-blind, placebo-controlled experiment, both the subjects and the people administering the treatments are unaware of which participants received the active treatment and which received the placebo (inactive substance).
This is done to minimize bias and ensure the validity of the results. By keeping both the subjects and the administrators blinded to the treatment assignments, the study can effectively evaluate the true effects of the treatment without any potential influence from expectations or biases.
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PLEASE HELP!!! ( I am bad with math)
9m+4+m
Terms:
Constants:
Like terms:
Coefficients:
7m-5+6m+8
Terms:
Constants:
Like terms:
Coefficients:
( two different questions)
Step-by-step explanation:
Term: Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3)7x(y+3) has three factors: 77 , xx , and (y+3)(y+3) .
Coefficient: The numerical factor of a multiplication expression that contains a variable. Consider the expression in the figure above, 2x+4y−92x+4y−9 . In the first term, 2x2x , the coefficient is 22 : in the second term, 4y4y , the coefficient is 44 .
Constant: A number that cannot change its value. In the expression 2x+4y−92x+4y−9 , the term 99 is a constant.
Like Terms: Terms that contain the same variables such as 2m2m , 6m6m or 3xy3xy and 7xy7xy . If an expression has more than one constant terms, those are also like terms.
find the sum and product of each of these pairs of numbers. express your answers as binary expansions. the sum of the numbers (10 1010 1010)2 and (1 1111 0001)2 is
The given numbers are:(10 1010 1010)2 and (1 1111 0001)2To find the sum of two binary numbers, we can add them using binary addition.
Similarly, to find the product of two binary numbers, we can multiply them using binary multiplication.Therefore, using binary addition:1 1 1 1 1 0 0 0 1 0(10 1010 1010)2+ (1 1111 0001)2-------------------1 0 0 1 0 1 1 0 1 1(11 1010 1011)2Therefore, the sum of the given binary numbers is (1 0 0 1 0 1 1 0 1 1)2To find the product of two binary numbers,
we use binary multiplication.(10 1010 1010)2 × (1 1111 0001)2---------------------------(10 1010 1010)2(×) (1) (1 0101 0101 0)2(×) (1 1111 0001)2--------------------------(10 1011 0001 1 0 1 0)2Therefore, the product of the given binary numbers is (10 1011 0001 1 0 1 0)2.Note: To represent the binary number, (10 1011 0001 1 0 1 0)2, it is better to split it into groups of 4 starting from the right side. Therefore, it can be written as (1 0101 1000 1110 1010)2.
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Find the derivative. Enter your answer without fractional or negative exponents. f(x) = −2x⁹ + 7x⁵+ 9x - 2 f'(x)=
The derivative of the function f(x) = -2x^9 + 7x^5 + 9x - 2 is f'(x) = -18x^8 + 35x^4 + 9.
To find the derivative of the function f(x) = -2x^9 + 7x^5 + 9x - 2, we can differentiate each term separately using the power rule of differentiation.
The power rule states that for a term of the form ax^n, the derivative is given by nax^(n-1).
Let's differentiate each term of the given function:
f(x) = -2x^9 + 7x^5 + 9x - 2
The derivative of -2x^9 is:
-2 * 9x^(9-1) = -18x^8
The derivative of 7x^5 is:
7 * 5x^(5-1) = 35x^4
The derivative of 9x is:
9 * 1x^(1-1) = 9
The derivative of -2 is:
0 (the derivative of a constant term is zero)
Putting it all together, we have:
f'(x) = -18x^8 + 35x^4 + 9
Therefore, the derivative of the function f(x) = -2x^9 + 7x^5 + 9x - 2 is f'(x) = -18x^8 + 35x^4 + 9.
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| 2p -1 | =45, what are the values of p?
Answer:
p = 23 and p = -22
Step-by-step explanation:
| 2p -1 | =45
Absolute value equations have 2 solutions, one positive value and one negative
2p-1 = 45 and 2p-1 = -45
Add 1 to all sides
2p-1+1 = 45+1 and 2p-1+1 = -45+1
2p = 46 2p = -44
Divide by 2
2p/2 = 46/2 and 2p/2 = -44/2
p = 23 and p = -22
what is the simplified form of the expression 0.2 (3x-3y)?
Answer:
0.6x - 0.6y.
Step-by-step explanation:
0.2 (3x - 3y)
= 0.2*3x - 0.2*3y
= 0.6x - 0.6y.
Steve is on a baseball team. Steve has hit 5 home run in the thirty-five times he’s been up to bat. At this pace, how many at bats would Steve need to hit twenty-four home runs?
Answe46 points scored
Step-by-step explanation:
The angle measurements in a triangle are 38°, x, 29°, what is the value of the angle x?
a) 53°
b) 1130
c) 1030
d) 67°
Answer:
B: 113
Step-by-step explanation:
I think you ment 113. a triangle has 180 degrees, the 2 angles add up to 67, subtracted from 180 = 113
Tim bought a soft drink for 2 dollars and 9 candy bars. He spent a total of 47 dollars. How much did each candy bar cost ?
I need help!! Thanks so much
Answer:
29/20
Step-by-step explanation:
Show that in the Wien approximation the relative error of B λ
is B λ
ΔB λ
=−e −hc/(λkT)
In the Wien approximation, the relative error of Bλ is approximated as BλΔBλ = -\(e^{(-hc/(\lambda kT))}\), where Bλ is spectral radiance and ΔBλ is its uncertainty, with h, c, λ, k, and T representing constants.
The Wien approximation is used to describe the spectral radiance of a black body at high frequencies or short wavelengths. It is based on the assumption that the Planck radiation law can be approximated by a simple exponential term. In this case, the relative error of Bλ, denoted as ΔBλ, can be derived using statistical mechanics.
The relative error is defined as the ratio of the uncertainty in Bλ to Bλ itself. By taking the natural logarithm of both sides of the relative error equation and rearranging terms, we obtain -ln(ΔBλ/Bλ) = hc/(λkT). Using the property of logarithms, this equation can be rewritten as ln(Bλ/ΔBλ) = -hc/(λkT).
Next, we apply the exponential function to both sides to eliminate the logarithm, giving e^(ln(Bλ/ΔBλ)) = \(e^{(-hc/(\lambda kT))}\). The left side simplifies to Bλ/ΔBλ, and thus we arrive at Bλ/ΔBλ = -\(e^{(-hc/(\lambda kT))}\). Finally, multiplying both sides by ΔBλ, we obtain BλΔBλ = -\(e^{(-hc/(\lambda kT))}\), which represents the relative error of Bλ in the Wien approximation.
Therefore, in the Wien approximation, the relative error of Bλ is given by BλΔBλ = -\(e^{(-hc/(\lambda kT))}\), demonstrating the relationship between the spectral radiance and its uncertainty at high frequencies or short wavelengths.
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Ranger wants to verify that the expression
8x - 20 is the correct simplified expression for 4(2x - 5) Explain how to verify the simplified expression.
Answer: It is correct.
The first step here is to distribute the numbers
4 times 2x is 8x
4 times -5 is -20
Therefore, you're left with 8x-20
I hope this helps!
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
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Find the missing length of the triangle.
C=ft
Answer:
c = 12ft
Step-by-step explanation:
\(A^{2}\) + \(B^{2}\) = \(C^{2}\)
\(7.2^{2}\) + \(9.6^{2}\) = 144
\(\sqrt{144}\) = 12
Maya runs each lap in 6 minutes. She will run more than 12 laps today. What are the possible numbers of minutes she will run today?
Answer:
72
Step-by-step explanation:
6x12 = 72
The possible minutes are 72.
Hope this helps!
-Liyah<3
Answer: could be any number above 72
Step-by-step explanation:
since it cant be 12x6 as longs as you keep to the 6 minutes a lap ratio but change the amount of laps she does
help me plss this one isnt that hard
Determine the area of the following trapezoids.
(Hint): A = 1/2(b1 + b2)(h)
Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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to obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about how many standard deviations to/from the sample proportion?
We would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.
What is a confidence interval?A confidence interval is a range of estimates for an unknown quantity in frequentist statistics.
The most frequent confidence level is 95%, but other levels, such as 90% or 99%, are infrequently used for generating confidence intervals.
To obtain a 99.7% (almost complete) confidence range for the real population proportion, you would add and deduct around three standard deviations from the sample proportion.
A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter.
The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.
Therefore we would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.
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Correct question:
To obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about __________ standard deviations to/from the sample proportion.
I need help with this
Step-by-step explanation:
no, not anymore. unbelievable.
AC = AE + EC = 12 + 8 = 20
Chris and Kai are playing a video game.
Chris has 17 game lives and gains 3 lives per game.
Kai has 52 game lives and is losing 2 lives per game.
After how many games will the two players have the same number of game lives?
A.
35 games
B.
7 games
C.
69 games
D.
14 games
Answer:
I think answer is 14 . it can be wrong also I am not sure
Rotate this quadrilateral 90º counterclockwise.
(0,6)
(4,-6)
(6,-14)
(-2,-12)
\((0,-6) \longrightarrow (6,0)\\\\(4, -6) \longrightarrow (6,4)\\\\(6,-14) \longrightarrow (14, 6)\\\\(-2, -12) \longrightarrow (12, -2)\)
i think this is the last one
Answer:
3 x 4 x 5 is 60
so the answe would be 60 cm^3
Step-by-step explanation:
problem 6. show that if ab = ac and a is nonsingular, then the cancellation law holds; that is, b = c.
To show that if ab = ac and a is nonsingular, then the cancellation law holds, meaning b = c, we can follow these steps:
1. Start with the given equation: ab = ac.
2. We know that a is nonsingular, which means it has an inverse, denoted by a^(-1).
3. Multiply both sides of the equation by the inverse of a on the left: a^(-1)(ab) = a^(-1)(ac).
4. Use the associative property of matrix multiplication: (a^(-1)a)b = (a^(-1)a)c.
5. The product of a matrix and its inverse is the identity matrix (I): Ib = Ic.
6. The identity matrix doesn't change the matrix when multiplied: b = c.
Thus, by using the given terms "nonsingular," "cancellation law," and "b = c," we have shown that if ab = ac and a is nonsingular, then the cancellation law holds, and b = c.
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