what is the length of the midsegment of this trapezoid? enter your answer in the box.

The maximum error in calculating the surface area of the box is approximately 0.8 cm^2.

f the box.

We can start by using the formula for the surface area of a rectangular box:

S = 2lw + 2lh + 2wh

where S is the surface area, l is the length, w is the width, and h is the height of the box.

Using the given dimensions, we have:

l = 70 cm

w = x cm

h = y cm

To estimate the maximum error in the surface area calculation, we need to find the partial derivatives of S with respect to l, w, and h:

∂S/∂l = 2w + 2h

∂S/∂w = 2l + 2h

∂S/∂h = 2l + 2w

Then, we can use the differentials to estimate the maximum error in each dimension:

∆l = 0 (since there is no error in the length measurement)

∆w = 0.1 cm (given)

∆h = 0.1 cm (given)

Finally, we can use the total differential formula to estimate the maximum error in the surface area calculation:

∆S ≈ (∂S/∂l) ∆l + (∂S/∂w) ∆w + (∂S/∂h) ∆h

Plugging in the partial derivatives and the estimated errors, we get:

∆S ≈ (2x + 2y) * 0 + (2 * 70 + 2y) * 0.1 + (2 * 70 + 2x) * 0.1

Simplifying, we get:

∆S ≈ 4x + 4y + 140

Note that x and y are unknown, but we can assume that they are close to the measured values, so we can take them to be 70 ± 0.1 cm.

Therefore, the estimated maximum error in the surface area calculation is:

∆S ≈ 4(70 ± 0.1) + 4(70 ± 0.1) + 140

∆S ≈ 560 ± 0.8 cm^2

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Answer:

Boiling is your answer

Step-by-step explanation:

Boling is when you heat up water to form steam which is called boiling

Answer:

water => water vapor

rubbing alcohol => (vapor)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Let's put each list of the yearly rainfall totals in order from least to greatest.

The yearly rainfall totals in inches for Seattle are:

23.78 ,  32.46 ,  40.30 ,  45.79 ,  49.42 ,  55.14

The median is the average of the two middle numbers in this list.

The median yearly rainfall for Seattle  =  (40.30 + 45.79)/2  in

The median yearly rainfall for Seattle  =  43.045  in

The yearly rainfall totals in inches for Las Vegas are:

2.33 ,  3.72 ,  3.84 ,  4.11 ,  5.62 ,  8.79

The median yearly rainfall for Las Vegas  =  (3.84 + 4.11)/2  in

The median yearly rainfall for Las Vegas  =  3.975  in

The difference between the median yearly rainfall for Seattle and Las Vegas   =   43.045 in  -  3.975 in

The difference between the median yearly rainfall for Seattle and Las Vegas   =   39.07 in

In a chi-square test, the expected values should be greater than or equal to 5 for each cell in the contingency table. If any expected value is less than 5, then the validity of the chi-square test is in question and a different test or a modification of the chi-square test may be necessary. Therefore, the correct answer to your question is "greater than or equal to 5".

The chi-square test is a statistical test used to determine if there is a significant association between two categorical variables. The test involves comparing the observed frequencies of the categories with the expected frequencies that would be observed if there were no association between the variables.

The expected frequencies are calculated based on the assumption that there is no association between the variables, and are obtained by multiplying the marginal totals for each row and column, and dividing by the total sample size.

In order for the chi-square test to be valid, the expected frequencies for each cell should be greater than or equal to 5. This is because the chi-square test relies on the assumption that the expected frequencies follow a normal distribution, and if the expected frequencies are too small, the distribution may not be normal and the test may not be accurate.

If any of the expected frequencies are less than 5, there is a risk of a type I error (rejecting the null hypothesis when it is actually true), and a different test or a modification of the chi-square test may be necessary.

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Answer:c

Step-by-step explanation:

Answer: c : ZXY=DCB

Step-by-step explanation: i took the quiz

Answer:

is that the ixl

website ????????????????????????????????

Answer:

A

Step-by-step explanation:

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

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the correct answer is C.

Answer:

35% or B

Step-by-step explanation:

The volume of the right rectangular prism is 720 cubic inches.

To find the volume of a right rectangular prism, you need to multiply its length, width, and height. In this case, the length is 12 inches, the width is 10 inches, and the height is 6 inches.

Volume = Length x Width x Height

Plugging in the values:

Volume = 12 in. x 10 in. x 6 in.

To calculate the volume:

Volume = 720 in³

Therefore, the volume of the right rectangular prism is 720 cubic inches.

Rounding to the nearest tenth, if necessary, means rounding the answer to one decimal place. The volume remains as 720 cubic inches without any rounding.

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Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

Answer:

well its two

Step-by-step explanation:

but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.

Answer:

Step-by-step explanation:

x^2+x-20

=x^2-(5-4)x-20

=x^2-5x+4x-20

=x(x-5)+4(x-5)

=(x-5)(x+4)

therefore the other factor is (x+4)

Answer:

(x - 4)

Step-by-step explanation:

METHOD 1 (Long Division Method):-

[See the attachment for full solution of Method 1]

One factor of x² + x - 20 is already given. To find the other factor , divide the polynomial with the factor and the quotient you'll get after dividing will be the second factor of the polynomial.

METHOD 2 (Factorising) :-

Factorise x² + x - 20.

\(=> x^2 + 5x - 4x - 20\)

\(=> x(x + 5) - 4(x + 5)\)

\(=> (x + 5)(x - 4)\)

(x + 5) & (x - 4) are the factors of x² + x - 20.

Answer:

17.6

Step-by-step explanation:

a. The number of carbon atoms is 23 atoms.

b. The total atoms in the sample is 115 atoms.

The Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1 : 4 and a sample of methane gas contains 92 hydrogen atoms.

Let the number of carbon atoms be represented by c. This will be:

1/4 = c/92

Cross multiply

4c = 92

Divide

c = 92/4

c = 23

The total atoms will be:

= Hydrogen atoms + Carbon atoms

= 92 + 23

= 115 atoms.

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The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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For five-number summary for the distribution as Q1 is 39, it follows that around 75% of the states have cigarette taxes higher than 39 cents.

A list of numerical data is divided into three quarters by the values known as quartiles. The middle of the three quarters measures the distribution's center point and displays data that are close to it. Only half of the data set, which is below the median, is shown in the lower part of the quarters, while the upper half, which is above the median, is shown in the upper part. In all, the quartiles depict the distribution or dispersion of the data set.

When the data are sorted in ascending order, Q1, or the lower quartile, is the data point below which 25% of the data lie or above which 75% of the data lie. In other words, the lower quartile is greater than 25% of the data or less than 75% of the data.

As Q1 is 39, it follows that around 75% of the states have cigarette taxes higher than 39 cents.

ii) When the data are sorted in ascending order, the Q3 or upper quartile is the data point above which 25% of the data lie or below which 75% of the data lie. In other words, the data in the top quartile either make up more than 75% or less than 25% of the total data.

Q3 being 103 signifies that 25% of the states have cigarette taxes that are more than 103 cents.

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We can conclude that C. the neighborhood is significantly less likely to be Democrat.

The null hypothesis was that there is no difference between the proportion of Democrats in the sample and the population. Since the null hypothesis has been rejected, it means that there is a significant difference between the sample and the population proportions. In this case, 60% of the respondents in the random sample are Democrats, which is lower than the 75% Democrat proportion in the community as a whole. Therefore, we can conclude that the neighborhood from which the sample was drawn is significantly less likely to be Democrat compared to the overall community.

The other options are not supported by the given information:

A type I error might or might not have occurred. We cannot determine this based on the information provided. A type I error refers to the incorrect rejection of a true null hypothesis. Without knowing the true proportions of the neighborhood, we cannot determine if a type I error has been committed. Whether a one-tailed test or a two-tailed test was used is not specified in the question.

However, the conclusion that the neighborhood is significantly less likely to be Democrat can be derived from either type of test. Therefore, the correct option is C.

The question was incomplete, Find the full content below:

sixty percent of the respondents in a random sample drawn from a neighborhood are democrats. the community as a whole is 75% democrat. the difference between sample and population has been tested and the null hypothesis has been rejected. what might we conclude? select one:

a. a type i error has been committed

b. a one-tailed test has definitely not been used

c. the neighborhood is significantly less likely to be democrat

d. the difference is not significant

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Answer:

A. E

B. D

C. A

Trust me on this one! I used a calculator.

Answer:

Yes

Step-by-step explanation:

Answer:

Post-tax

Step-by-step explanation:

Pre-tax deductions reduce the amount of income that the employee has to pay taxes on. You will withhold post-tax deductions from employee wages after you withhold taxes. Post-tax deductions have no effect on an employee's taxable income.

Yes, it is a good idea for individual or a company to reduce the pretax income.

" Pretax income is the income of a company or individual before paying income after deducting all the expenses."

According to the question,

To reduce pretax income is  a good idea for a company  as it helps in saving more taxable amount. Company has to pay less income tax.

Therefore, it is good to reduce pretax income.

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Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

Answer:

\(\red{ \bf \: c = {2}^{38} \: }\)

Step-by-step explanation:

\( \bf c = ( {2}^{40}+{2}^{39}+{2}^{38}):7 \)

\(\bf c = {2}^{38} \cdot( {2}^{40 - 38}+{2}^{39 - 38}+{2}^{38 - 38}):7 \)

\(\bf c = {2}^{38} \cdot( {2}^{2}+{2}^{1}+{2}^{0}):7 \)

\(\bf c = {2}^{38} \cdot( 4+2+1):7 \)

\(\bf c = {2}^{38} \cdot7:7 \)

\( \red{ \boxed{\bf \: c = {2}^{38} \: }}\)

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

The total change in the water in the pool after 2 1/2 hours given the rate of leakage is -3 1/8,

A fraction is a non-integer. It is made up of numerators and denominators. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 1/2.

The total change in the water = -1 1/4 x 2 1/2

= -5/4 x 5/2 = -25/8 = -3 1/8

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To find a value of theta in the interval [0, 90] that satisfies sin(theta) = 0.87185 using a TI-30X calculator, you can use the inverse sine function, which is denoted as sin⁻¹.

Follow these steps:

For example, if you follow these steps on the TI-30X calculator, you should get the result:

So, one possible value of theta in the interval [0, 90] that satisfies sin(theta) = 0.87185 is 60 degrees.

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Answer:

144 dollars

Step-by-step explanation:

We are told that:

Lewis and his sister both begin with a balance of zero dollars.

Now, for every 4 dollars that Lewis saves in his account, his sister saves 9 dollar.

Now, if Lewis has 64 dollars in his account, it means he saved 4 dollars for 64/4 times or 16 times.

Therefore his sister saved 9 dollars for 16 times too.

Thus, his sister saved: 16 × 9 = 144 dollars

The solution to each equation is:

1. a = 5

2. x = 3

3. y = -1

4. z = 5

5. b = 6

To find the solution, we have to isolate the variable in each equation to one side.

1. 3(2a +5) +4(3a +1) = 109

Expand the brackets:

6a + 15 + 12a + 4 = 109

Collect like terms:

18a + 19 = 109

Subtract 19 from both sides:

18a = 90

Divide both sides by 18:

a = 5

2. 5(2x +3) +3(5x -2) = 84

Expand the brackets:

10x + 15 + 15x - 6 = 84

Collect like terms:

25x + 9 = 84

Subtract 9 from both sides:

25x = 75

Divide both sides of the equation by 25:

x = 3

3. 4(5y +3) -5(3y +1) = 2

Expand the brackets:

20y + 12 - 15y - 5 = 2

Collect like terms:

5y + 7 = 2

Subtract 7 from both sides:

5y = -5

Divide both sides by 5:

y = -1

4. 6(3z -2) +4(z -5)= 78

18z - 12 + 4z - 20 = 78

Collect like terms:

22z - 32 = 78

22z = 110

z = 5

5. 3(6b -1) -7(2b +3)=0​

18b - 3 - 14b - 21 = 0

4b - 24 = 0

4b = 24

Divide both sides by 4:

b = 6

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The new design has better performance.In the old design, the CPI was 0.052, while in the new design, the CPI was 0.046 As a result, the new design is the winner here since the CPI is lower in the new design.

Given data,

Length of Embedded Program = 1

Let the multiply instruction  = 12 cycles

All other instruction  = 4 cycles

Percentage of multiply instructions in embedded program = 15%

Let's calculate the CPI (Cycles Per Instruction) of the old design.

CPI of the old design

\(CPI = (no. of cycles for multiply instruction × % of multiply instruction + no. of cycles for all other instructions × % of all other instructions)/100\)

We know no. of cycles for multiply instruction = 12 cycles

No. of cycles for all other instructions = 4 cycles

\(Percentage of all other instructions = 100% - Percentage of multiply instructions= 100% - 15% = 85%\)

Putting all the values,

\(CPI of the old design= (12 × 15% + 4 × 85%)/100= (1.8 + 3.4)/100= 5.2/100= 0.052\)

CPI of the old design = 0.052

Let's calculate the CPI (Cycles Per Instruction) of the new design.

Cycle time of new design is increased by 20%, it means

the new cycle time will be = 1.2 Old cycle time

New cycle time = 1.2 × Old cycle time

New cycle time / Old cycle time = 1.2

Let's calculate the new cycle time,

Cycle time of new design = 1.2 × 4= 4.8 cycles

The number of cycles for multiply instruction is reduced to 8 cycles

Let's calculate the CPI of the new design.

CPI of the new design

\(CPI = (no. of cycles for multiply instruction × % of multiply instruction + no. of cycles for all other instructions × % of all other instructions)/100\)

We know no. of cycles for multiply instruction = 8 cycles

No. of cycles for all other instructions = 4 cycles

\(Percentage of multiply instructions = 15%Percentage of all other instructions = 100% - Percentage of multiply instructions= 100% - 15% = 85%\)

Putting all the values,

\(CPI of the new design= (8 × 15% + 4 × 85%)/100= (1.2 + 3.4)/100= 4.6/100= 0.046\)

CPI of the new design = 0.046

In terms of performance, a lower CPI means better performance.

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