Graph the first four terms in the sequence 16, 8, 4, 2 9 (20 POINTS)

With  the empirical rule, we can estimate that the number of farms in the sample whose land and building values per acre are between $1100 and $1500 is approximately 50 farms.

The empirical rule (also known as the 68-95-99.7 rule) states that for data sets with a bell-shaped distribution:

68% of the data falls within one standard deviation of the mean.

95% of the data falls within two standard deviations of the mean.

99.7% of the data falls within three standard deviations of the mean.

Using this rule, we can estimate the number of farms whose land and building values per acre are between $1100 and $1500 as follows:

The mean value of land and buildings per acre from the sample of farms is $1300, and the standard deviation is $200.

$1100 is 1.5 standard deviations below the mean:

($1100 - $1300) / $200 = -1.0.

$1500 is 1 standard deviation above the mean:

($1500 - $1300) / $200 = 1.0.

Therefore, we can estimate that approximately:

68% of the farms in the sample have land and building values per acre between $1100 and $1500 plus or minus one standard deviation of $200. This is equivalent to approximately 50 farms, which is 68% of the sample size of 74 farms.

95% of the farms in the sample have land and building values per acre between $900 and $1700 plus or minus two standard deviations of $200. This is equivalent to approximately 70 farms, which is 95% of the sample size of 74 farms.

99.7% of the farms in the sample have land and building values per acre between $700 and $1900 plus or minus three standard deviations of $200. This is equivalent to approximately 73 farms, which is almost the entire sample size of 74 farms.

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Note: The full question is:-

The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 74. Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.

Answer:

6x+8=16

or,6x=16-8

or,6x=8

or,x=4 by 3

Answer:

log(41)/log(7) OR 1.90839852...

Answer:

Step-by-step explanation:

457-235= 222

222-125=97

97÷2= 48.5

≈49 pairs of pants and shoes

Answer:

b. False

Step-by-step explanation:

Let A and B be matrices with the rows a1a2 and b1b2 respectively. Suppose the other two columns are c1,c2 and d1d2 having a value equal to zero.

A=   a1   c1                      B=  b1       d1

      a2  c2                            b2      d2

Multiplying

AXB= a1b1+c1b2         a1d1+c1d2

          a2b1+c2b2       a2d1+c2d2

AB=║ a1b1         0║

      ║a2b1        0 ║

Hence the given statement is false.

Each column of AB is a linear combination of the ROWS of A using weights from the corresponding column of B.

The matrix multiplication is "row by column" i.e the rows of the first matrix are multiplied with the columns of the second matrix.

The rows are also used in multiplication.

Answer:

4.6 and 10.3

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

the negative power shows that on the exponent shows that the value is small and is being simplified.

When ever there is a negative power we increase zeros with respect to the exponent value.

Answer:

students=315 adults=135

Step-by-step explanation:

3s=7a

s+a=450

s=450-a

3(450-a)=7a

1350-3a=7a

1350=7a+3a

1350=10a

a is 135

a is adult

s=450-a

s=450-135

s=315

branlist please

Answer:

EH = 123°

Step-by-step explanation:

given 2 central congruent angles EDH and EDG then the corresponding arcs are congruent , that is

EH = EF + FG = 57° + 66° = 123°

Answer:

Sarah is correct

Step-by-step explanation:

Required

Which of the students is correct

Let a number be x,

Given what the teacher asked the students to do, the solution is:

\(Number = x\)

\(Opposite = -x\)

\(Absolute = |x|\)

Only Sarah got this correctly; others are incorrect.

The proof is as follows.

For Sarah

\(Number = 1416\)

\(Opposite = -1416\)

\(Absolute =|1416| = 1416\)

So, the numbers will be: 1416, -1416 and 1416

Other students are incorrect

The distance between the points G and H is D = 8 units

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be G ( 0 , 8 )

Let the second point be H ( 8 , 8 )

Now , let the distance between G and H be D , where

D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( 0 - 8 )² + ( 8 - 8 )²

D = √64 units

D = 8 units

Hence , the distance is 8 units

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Answer:

where is the shape ???????

Answer:

The answer is blah blah blah blah

Answer:

2/5

Step-by-step explanation:

markup / cost       =    10 /25 = 2/5

A) The mean of the original set is 1.8

B) if we add 10 to each element, the new mean is 11.8

C) If we double each element, the new mean is 3.6.

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is defined as:

M = (x₁ + x₂ + ... + xₙ)/N

In this case, the set is:

{2.4, 1.6, 3.2, 0.3, 1.5}

So we have 5 elements.

a) The mean is given by the equation below, so we will get:

M = (2.4 + 1.6 + 3.2 + 0.3 + 1.5)/5

M = 1.8

The mean is 1.8

b) If now we add 10 to each element we will get the set:

{12.4, 11.6, 13.2, 10.3, 11.5}

Then the new mean is:

M = (12.4 + 11.6 + 13.2 + 10.3 + 11.5)/5

M = 11.8

The mean also increased by 10.

c) Finally, if we double each number we will get:

{2*2.4, 2*1.6, 2*3.2, 2*0.3, 2*1.5}

{4.8, 3.2, 6.4, 0.6, 3}

Then the new mean is:

M = (4.8 + 3.2 + 6.4 + 0.6 + 3)/5

M = 3.6

Notice that the new mean is twice the original mean.

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Answer:

4

Step-by-step explanation:

this is the same question as what number can divide

13-1 = 12, 17-1 = 16 and 21-1 = 20 and has 0 remainder ?

the greatest number that can do that is 4.

we can easily see that, but formally, let's do prime factorization :

12 ÷ 2 = 6

6 ÷ 2 = 3

3 ÷ 2 no

3 ÷ 3 = 1 finished

12 = 2×2×3

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1 finished

16 = 2×2×2×2

20 ÷ 2 = 10

10 ÷ 2 = 5

5 ÷ 2 no

5 ÷ 3 no

5 ÷ 5 = 1 finished

20 = 2×2×5

so, the largest common factor is the combination of the longest streaks per factor they have in common.

they only have 2s in common.

and the longest common streak is 2×2 = 4.

hence the answer

Answer:

0.05

Step-by-step explanation:

Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

The tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.

To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.

Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:

σmax = FoS * Kic / (π * a)

where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.

Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:

For Maraging (18% Ni) steel:

σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa

For Medium strength steel:

σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa

Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.

To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.

Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).

Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

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Answer:

a) \(\Delta A \approx 26.389\,cm^{2}\), b) \(r_{A} \approx 0.019\), c) \(\delta = 1.9\,\%\)

Step-by-step explanation:

a) The area of the circular disk is modelled after this expression:

\(A = \pi \cdot r^{2}\)

The total differential is given by the following formula:

\(\Delta A = 2\pi r \cdot \Delta r\)

The maximum absolute error in the calculated area of the disk is:

\(\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)\)

\(\Delta A \approx 26.389\,cm^{2}\)

b) The relative error is given by:

\(r_{A} = \frac{\Delta A}{A}\)

\(r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}\)

\(r_{A} \approx 0.019\)

c) The percentage error is:

\(\delta = r_{A}\times 100\,\%\)

\(\delta = 0.019 \times 100\,\%\)

\(\delta = 1.9\,\%\)

Answer:

The temperature was 71 degrees at 6pm.

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

\(\frac{x^2}{16}+\frac{y^2}{4}\leq 1\)

For (1, 1),

\(\frac{1^2}{16}+\frac{1^2}{4}\leq 1\)

\(\frac{1}{16}+\frac{1}{4}\leq 1\)

\(\frac{1+4}{16}\leq 1\)

\(\frac{5}{16}\leq 1\)

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

\(\frac{x^2}{16}+\frac{y^2}{4}\leq 1\)

\(\frac{4^2}{16}+\frac{1^2}{4}\leq 1\)

\(1+\frac{1}{4}\leq 1\)

\(1\frac{1}{4}\leq 1\)

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

\(\frac{x^2}{16}+\frac{y^2}{4}\leq 1\)

\(\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1\)

\(\frac{1}{16}+1\leq 1\)

\(1\frac{1}{16}\leq 1\)

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

\(\frac{x^2}{16}+\frac{y^2}{4}\leq 1\)

\(\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1\)

\(\frac{1}{4}+1\leq 1\)

\(1\frac{1}{4}\leq 1\)

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

A vehicle owner wants to calculate the total cost of his 2007 jeep compass with a MSRP of $18366. His monthly loan payment is $312.54 for 5 yrs after he puts down a $2000 payment.

a) T(m) = 312.54m + 2000

b) $20,752.4 is the total cost of the car.

c) he wound up shelling out almost $2,700 extra in interest.

The sum of money that has to be paid each week or month to fulfil the loan's requirements. This may be calculated using an amortisation table based on the principal, loan period, and interest rate.

Home purchase loans, vehicle loans, personal loans, and several student loans are typical examples. You may borrow and pay back money again using revolving loans. Secured loans, like house loans, are the least expensive loans in India. Although the utilisation is limited, they have low interest rates. For instance, you are only eligible for a house loan if you are purchasing a home.

Let,

m = number of months he has made payments on the car

T(m) = total amount paid after m months

a)

The states that he makes a loan payment of $312.54 every month.

It also states that he made a $2,000 down payment.

Thus, T(m) = 312.54m + 2000

This means that at m = 0 months, the total paid is just the down payment ($2,000), which makes sense.

After 1 month (m = 1), the total is the down payment plus 1 month's payment of $312.54.

b)

The loan amount is for 5 years.

Since there are 12 months in a year, that's a total of 12 × 5 = 60 payments he'll be making.

So, the total cost of the car will be figured out when m = 60.

T(60) = (312.54 × 60) + 2000 = $20,752.4

c)

The interest paid will be the total amount he's paid on the car minus the MSRP (i.e. how much it would have cost if he had just paid cash upfront).

Interest paid = Total Paid - MSRP = $20,752.4 - $18,366.00 = $2,386.4

For paying off the car in small increments over a long period of time,

he wound up shelling out almost $2,700 extra in interest.

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−5ab2+2ab+a+2

That is the answer if you need more help on other questions use Math-way it helps answer all problems like that

Have a wonderful day love

Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

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Answer: 20%

Step-by-step explanation:

If we let the original amount be x, then after increasing it by 25%, we now have 1.25x

To get this back to x, we need to do 1.25x*(something) = x

this gives us that something = 1/1.25 = 0.8

meaning you need to decrease it by 100% - 80% = 20%

Answer:

6 1/2 hours

Step-by-step explanation:

3 1/2 + 1/2 + 2 1/2

4 + 2 1/2

6 1/2

First add the 3 1/2 and the 1/2 together to get 4. Then you add the 2 1/2 to the 4 to get 6 1/2. :)

Hope this helped!

Have an amazing day!!

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Answer: 12hrs 30mins

Step-by-step explanation: 3hrs 30mins + 3hrs + 6hrs = 12hrs 30mins

Hope that helps!

The total amount of sugar that was consumed by Kylie in the past nine (9) days is equal to 3 units of sugar.

In Mathematics and Statistics, a line plot refers a type of graph that is used to graphically represent a data set above a number line, while using crosses, dots, or any other mathematical symbol.

Based on the data and information provided in the line plot shown in the image attached above, we can calculate the total amount of sugar that was consumed by Kylie in the past nine (9) days as follows:

Total sugar consumed = (1/8 + 1/8 + 1/8) + 1/4 + (3/8 + 3/8 + 3/8) + (5/8 + 5/8)

Total sugar consumed = 3(1/8) + 1/4 + 3(3/8) + 2(5/8)

Total sugar consumed = 3/8 + 1/4 + 9/8 + 10/8

Total sugar consumed = 22/8 + 1/4

Total sugar consumed = (22 + 2)/8

Total sugar consumed = 24/8

Total sugar consumed = 3 units of sugar.

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