Answer:
\(40.32cm^{2}\)
Step-by-step explanation
4*1.2=4.8
7*1.2=8.4
8.4*4.8=40.32
A rectangle is a two-dimensional shape where the length and width are different.
The length and width of the larger rectangle are 4.8 cm and 8.4 cm.
The area of the larger rectangle is 40.32 cm².
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Two similar rectangles:
Smaller rectangles:
Length = 4 cm
Width = 7 cm
Larger rectangles:
Length = 4.8 cm
We need to find the width of the larger rectangle.
Since the two rectangles are similar.
4 cm = 4.8 cm
Multiply 7/4 on both sides.
7/4 x 4cm = 7/4 x 4.8 cm
7 cm = 8.4 cm
Now,
Larger rectangle:
Length = 4.8 cm
Width = 8.4 cm
Now,
The area of the larger rectangle:
Area = Length x width
Area = 4.8 x 8.4
Area = 40.32 cm²
Thus,
The area of the larger rectangle is 40.32 cm².
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Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?
Answer:
Portanto, o Sofia pode fazer 6 tamanhos diferentes
Step-by-step explanation:
A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula
2 (n + 1) Onde n = 0 e todos os inteiros positivos
em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho
a) quando n = 0
2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais
A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado
= 1 quadrado
b) quando n = 1
2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado
c) quando n = 2
2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado
d) quando n = 3
2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado
e) quando n = 4
2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado
f) quando n = 5
2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado
Adicionamos o número total de triângulos usados
2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos
42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes
Vamos fazer mais um, onde n = 6
g) quando n = 6
2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado
2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos
Isso já excedeu o número dado de triângulos em questão.
Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais
In 1990, when the consumer price index (CPI) was 130.7, Deena purchased a
house for $98,700. Assuming that the price of houses increased at the same
rate as the CPI from 1980 to 1990, approximately how much would the house
have cost in 1980, when the CPI was 82.4?
OA. $72,650
OB. $67,600
O C. $62,200
OD. $84,600
Answer:
C is the right answer I think
To find the cost of the house in 1980, divide the cost of the house in 1990 by the rate of increase. The house would have cost approximately $62,200 in 1980 when the CPI was 82.4.
Explanation:To find the cost of the house in 1980, we need to use the concept of inflation. In this case, we can use the consumer price index (CPI) to compare the prices of the house in 1990 and 1980.
First, we need to determine the rate of increase from 1980 to 1990. The rate of increase is calculated by dividing the CPI in 1990 by the CPI in 1980:
Rate of increase = CPI in 1990 / CPI in 1980 = 130.7 / 82.4 = 1.585
Next, we can use the rate of increase to find the cost of the house in 1980. We divide the cost of the house in 1990 by the rate of increase:
Cost in 1980 = Cost in 1990 / Rate of increase = $98,700 / 1.585 = $62,200.
Therefore, the house would have cost approximately $62,200 in 1980 when the CPI was 82.4.
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Consider a hypothesis test of difference of means for two independent populations x1 and x2.(a) What does the null hypothesis say about the relationship between the two population means?H0 says that the population means are different.H0 says that the population standard deviations are equal. H0 says that the population means are equal.H0 says that the population standard deviations are different.
H0 says that the population means are equal.
In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
IQR 34°
Range 48°
Mean 81.4°
Median 84°
We can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Before the change, the measures are:
IQR = 105 - 61 = 44°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57) / 12 = 81.4°
Median = the middle value, which is 84°
After the change, the list becomes:
58, 61, 71, 77, 91, 100, 105, 102, 95, 94, 66, 57
IQR = 102 - 61 = 41°
Range = 105 - 57 = 48°
Mean = (58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 94 + 66 + 57) / 12 = 82.3°
Median = the middle value, which is still 84°
Hence, we can see that the measure that changes the most when the value of 82° is changed to 94° is the mean. The new mean temperature is 82.3°
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Answer:
(d) Median 84°
Step-by-step explanation:
You want to know the effect on various statistics of changing the value 82 to 94 in the data ...
{57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105}
Measures of variationChanging a middle value in the list will have no effect on either the range or the IQR.
Measures of centerChanging a value from 82 to 94 adds 12 to the total of the 12 data values. This will increase the mean by 12/12 = 1 degrees to about 81.4.
The median value is currently the average of 77 and 82. Replacing 82 with 94, changes the order so that the median will be the average of 77 and 91. That is the median will increase by 9/2 = 4.5 degrees.
The measure that changes the most is the median. Its new value is 84°, choice D.
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pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29
A. 2
B. 3
C. 5
D. 7
Answer: The answer is A. 2.
Answer: your answer is A
For the past 10 periods, MAD was 25 units while total demand was 1,000 units. What was mean absolute percent error (MAPE)?
Multiple choice question.
10%
25%
50%
75%
The mean absolute percent error (MAPE) is 25%.
The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.
To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:
MAPE = (MAD / Total Demand) * 100
= (25 / 1,000) * 100
= 2.5%
Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.
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Fill in the blank 1.05 assignment
Answer -4x
Step-by-step explanation:
distribute the x to 5x and -4
i do not know the answer for this, what is the answer?
please help!!! what is the value of x?
Answer:
x=1
Step-by-step explanation:
Look at the bottom of the triangle you will see that 1 = x
the sequence of the numbers below is missing an eighth value. which of the following is the missing value? sequence: 5, 6, 8, 11, 15, 20, 26, __, 41
Answer:
D - 33
Step-by-step explanation:
From 5 to 6, the number is increasing by 1. Then from 6 to 8, it increases by 2. From 8 to 11 it increases by 3. This pattern continues throughout the entire sequence. Since between 20 and 26, it increases by 6, 26+7 should equal the number between 26 and 41. This number would be 33.
for a little over two weeks in february 2005, the gates by christo and jeanne-claude were installed in new york city's central park. how long had they worked on the project?
Christo and Jeanne-Claude worked for over 26 years on "The Gates," a large-scale public art installation in Central Park consisting of thousands of saffron-colored fabric panels along 23 miles of walkways, which was on display for 16 days in February 2005.
Christo and Jeanne-Claude were artists known for their large-scale public art installations. "The Gates" was a project they worked on for over 26 years, from its conception in 1979 to its installation in Central Park in February 2005. The installation involved placing thousands of saffron-colored fabric panels along 23 miles of walkways in the park, creating a visually stunning and immersive experience for visitors.
The project was met with both praise and criticism, but it ultimately succeeded in bringing people together to appreciate art in a public space. The installation remained in place for 16 days before it was dismantled.
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Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e^x and the line x = ln 8 about the line x = ln 8. Please show me in two ways
The volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes is V = π∫ln 8eˣdx,
The volume of a solid generated by revolving a region about a line is calculated by using the method of slices.
In this case, we have a region in the first quadrant bounded by the coordinate axes, the curve y = eˣ and the line x = ln 8, which is being revolved about the line x = ln 8.
To find the volume of this solid, we need to take slices perpendicular to the line of rotation and calculate the area of each slice.
The volume can then be calculated by multiplying the area of each slice by its corresponding distance from the line of rotation and summing up the results.
The volume of this solid is calculated by the equation
=> V = π∫ln 8eˣdx,
where V is the volume of the solid, x is the distance from the line of rotation, and π is the constant pi
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15!!!! POINTSS what is the mode in the data shown below
solve by completing the squareX^2 + 6x + 8 = 0
Solve by completing the square:
\(\begin{gathered} x^2+6x+8=0 \\ x^2+6x=-8 \end{gathered}\)We have to find the third term for x^2+6x in order to complete a binomial (x+3)^2:
\((x+3)^2=x^2+2\cdot3x+9=x^2+6x+9\)So we have to add 9:
\(\begin{gathered} x^2+6x+9=-8+9 \\ (x+3)^2=1 \end{gathered}\)Then, we apply the square root:
\(\begin{gathered} \sqrt[]{(x+3)^2}=\sqrt[]{1} \\ x+3=\pm1 \end{gathered}\)\(\begin{gathered} x_1+3=-1 \\ x_1=-1-3=-4 \end{gathered}\)\(\begin{gathered} x_2+3=+1 \\ x_2=1-3=-2 \end{gathered}\)Answer: The solutions are x=-4 and x=-2
Answer:
x = - 4, x = - 2
Step-by-step explanation:
x² + 6x + 8 = 0 ( subtract 8 from both sides )
x² + 6x = - 8
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = - 8 + 9
(x + 3)² = 1 ( take square root of both sides )
x + 3 = ± \(\sqrt{1}\) = ± 1 ( subtract 3 from both sides )
x = - 3 ± 1
Then
x = - 3 - 1 = - 4
x = - 3 + 1 = - 2
Which of the following would be classified as categoricalâdata?
Choose the correct answer below.
Hair color
Number of suitcases on a plane
Tree height
Amount of rainfall
Categorical data is data that can be divided into different categories. Examples of categorical data include hair color, number of suitcases on a plane, tree height, and amount of rainfall.
Hair color would be classified as categorical data because it can be divided into categories such as black, brown, blonde, and red. Number of suitcases on a plane would also be classified as categorical data because the amount of suitcases can be divided into categories such as 0, 1, 2, 3, etc. Tree height would be classified as categorical data as it can be divided into categories such as small, medium, and large. Amount of rainfall would also be classified as categorical data as it can be divided into categories such as light rainfall, moderate rainfall, and heavy rainfall.
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pls help asap tysm <33
Answer:
I think its -37
Step-by-step explanation:6^2 - -1 *-1= 36+1= 37*-1 = -37
the rate of growth of a fish population was modeled by the equation , where t is measured in years since 2000 and g in kilograms per year. if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020?
the predicted biomass for the year 2020 is 41,666 kg.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
The growth rate function's units on it (along with 4t and dt) are years, therefore year = kg year will result in an integral that will show the net change in kilogrammes from 2000 to 2020.
if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020.
WE GET: 60000(-1/3) ∫(1/u)
=16666
This is the change in biomass from 2000 to 2020. Thus, the predicted biomass for 2020 is about (25000 + 16,666) = 41,666 kg.
Hence, the predicted biomass for the year 2020 is 41,666 kg.
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derivation of trigonometric identities (all 3).
Answer:
Sine, Cosine and Tangent.
Step-by-step explanation:
These are the 3 basic trigonometric identities.
Evaluate (4/5) to the third power
Answer:
ie (4/5)^3
= 64/125
Step-by-step explanation:
please mark as brainliest
Sadie is 63.5 inches tall. if 2.54 cm equals 1 inch, what is sadie's height in centimeters?
a. 5.29 cm
b. 25 cm
c. 161.29 cm
o d. 635 cm
plssss help
The centimeter equivalent of Sadie's height is 142.875 cm.
(63.5×2.25) cm.
= 142.875 cm.
if p(x) is the taylor series for f centered at 0, then p( x - 1 ) is the taylor series for f centered at 1. True or False
True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.
True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.
A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).
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I need help with this ASAP, I’ll give brainliest if correct
Determine the number of acute, obtuse, and right angles in the shape above. cute angles.
Answer:
2 acute 1 obtuse 1 right
Step-by-step explanation:
Maggie and her iter bought a gift for their mother that cot $54. Maggie contributed $26 to the cot of the gift. Write an addition equation that could be ued to find how much money, , Maggie’ iter contributed to the gift
The equation that represents the contribution of Maggie’s sister is x = Total cost - Maggie contribution
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Information about the problem:
Total cost = $54
Maggie contribution = $26
Maggie’s sister contribution = x
The function that models the situation is the following:
x = Total cost - Maggie contribution
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Correctly written question:
Maggie and her sister bought a gift for their mother that cots $54. Maggie contributed $26 to the cost of the gift. Write an addition equation that could be used to find how much money, Maggie’s sister contributed to the gift
You have a block of metal with a volume of 56 cubic centimeters and a mass of 153 grams.
What is the density?
Answer:
C
Step-by-step explanation:
153/56= 207G
simplify the expression: 10h+10h+4h+10h
Answer:
34h
Step-by-step explanation:
Combine like terms.
10h+10h+10h+4h
30h+4h
34h
-hope it helps
Answer:
34h
Step-by-step explanation:
10h+10h+4h+10h
Combine Like Terms:
=10h+10h+4h+10h
=(10h+10h+4h+10h)
=34h
The standard deviation of a sample was reported to be 15 . The report indicated that Σ(x− x
ˉ
) 2
=2,925. What is the sample size? 11 12 13 14
The sample size is 14.
To find the sample size, we need to use the formula for the sample standard deviation:
Standard deviation (s) = √(Σ(x - \(\bar x\))² / (n - 1))
Given that the standard deviation (s) is 15 and Σ(x - \(\bar x\))² = 2,925, we can substitute these values into the formula:
15 = √(2,925 / (n - 1))
Squaring both sides of the equation:
225 = 2,925 / (n - 1)
Cross-multiplying:
225(n - 1) = 2,925
Expanding:
225n - 225 = 2,925
Moving the constant term to the other side:
225n = 3,150
Dividing both sides by 225:
n = 14
Therefore, the sample size is 14.
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When calculating a 95% confidence interval for the difference between two means, which of the following is true? When the confidence interval ranges from a negative value to a negative value, we find that there is conclusive evidence (at 95% confidence) that both population means are negative. When the confidence interval ranges from a negative value to a positive value, we find that there is conclusive evidence (at 95% confidence) that there is a difference between the two population means. When the confidence interval ranges from a negative value to a positive value, we find that there is not conclusive evidence (at 95% confidence) that there is a difference between the two population means. When the confidence interval ranges from a positive value to a positive value, we find that there is conclusive evidence (at 95% confidence) that both population means are positive
The statement that is true when calculating a 95% confidence interval for the difference between two means is that when the confidence interval ranges from a negative value to a positive value.
When calculating a 95% confidence interval for the difference between two means, the confidence interval represents a range of values that is likely to contain the true difference between the two population means. A confidence interval that ranges from a negative value to a positive value indicates that there is a range of possible differences between the two population means, including the possibility of no difference (i.e., the difference is zero).
However, since the confidence interval does not include zero, we can conclude (at 95% confidence) that there is a statistically significant difference between the two population means. On the other hand, if the confidence interval ranges from a negative value to a negative value or from a positive value to a positive value, we can conclude (at 95% confidence) that both population means are either negative or positive, respectively. Finally, if the confidence interval includes zero, we cannot conclude that there is a significant difference between the two population means.
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Can somebody please help i need the help to help me pass my math class thx so much if you can
1. Solve for the proportion 4 / 5 = x / 14
2. Find the distance between -5 and 8
3. Evaluate the expression 3x +2y when x= 5 and y= -3
4. Divide and write your answer as a mixed number or in simplest form -2 / 5 divided by 6 / 7
5. Find the GCF of 30ab and 45b
6. 4 ( -3x + 4)
7. Simplify by combining like terms: -2x + 7 + 5x + x -3
8. ( 7x -2 ) - (-4x +12)
9. (5a - 3) + (a +6) +( 4a +2)
10. Which of the following are monomials? Select all that apply
-x
or
10a+7
or
15
or
2b
Answer:
Step-by-step explanation:
1. x = 11.2
2. 13
3. 9
4. -7/15
5. 15b
6. -12x + 16
7. 4x + 4
8. 11x-10
9. 10a + 5
10. -x, 15, and 2b
Hope that helps, and good luck!
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 12"
1 standard deviation = 8 inches. the answer is OPTION E
We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.
According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.
We can use this information to estimate the standard deviation as follows:
Range of heights = 7'0" - 5'0" = 2 feet
3 standard deviations = 2 feet
1 standard deviation = 2/3 feet
1 foot = 12 inches
Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches
So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.
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Complete question
If the heights of 99.7% of American men are between 5'0"
and 7'0", what is your estimate of the standard deviation of
the height of American men? (Assume the heights of
American Men are Normally Distributed).
A.) 1"
B.) 2"
C.) 4"
D.) 6"
E.) 8"