The approximate areas of Nebraska and Massachusetts are listed below:
Nebraska: 2 x 105 square kilometers
Massachusetts: 2.73 x 104 square kilometers
What's the difference between the areas of the two states? Express your answer using
either standard notation or scientific notation.

Answer:

Step-by-step explanation:

The transformations include:

This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.

The transformation applied to the point U:

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

Answer:

2 the probability would be2/5 because of the two dice

Answer:

6

Step-by-step explanation:

6/12 simpify 1/2

Answer:

5 years old

Step-by-step explanation:

Able has a younger sister and an older brother.

Able’s age can be represented by x.

Able’s sister (s) is 4 years younger than him. This can be represented as:

s = x - 4 [1]

Able’s older brother (b) is twice as old as he is. This can be represented as:

b = 2x [2]

The combined age of all three siblings is 32. This can be represented as:

x + s + b = 32 [3]

If we replace [1] and [2] in [3], we get:

x + (x - 4) + 2x = 32

4x = 36

x = 9

The age of Able's younger sister is:

s = x - 4 = 9 - 4 = 5

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer:

C

Step-by-step explanation:

Answer:

7/10 or 0.7

Step-by-step explanation:

first bag = 3/15

second bag 5/10

make them alike

first bag 3/30

second bag 15/30

add

18/30

simplify = 7/10

Answer: n^2

Step-by-step explanation:

The output for each input matches the function.

3²=9

5²=25

7²=49

Answer: 7

Step-by-step explanation:

Median is the middle number of a data set.

You need to first start off with listing the shoe sizes in numerical order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9.5

You have a total of 11 numbers in the set, so you can choose the sixth number in the set, which is 7.

So, 7 is the median number.

The median of current data is 6.5 while by adding 9.5 to the data group the median changes to 6.75.

Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

As per the given data,

5.5, 6, 7, 8.5 6.5,6.5, 8, 7.5, 8 5

Write the above data in increasing order,

5,5.5,6,6.5,6.5,7,7.5,8,8.5

The median is the middle value thus, 6.5 will be the median.

Now let's add 9.5 to the data group,

5,5.5,6,6.5,6.5,7,7.5,8,8.5,9.5

Now we have two middle values 6.5 and 7

Median = (6.5 + 7)/2 = 6.75

Hence "The median of current data is 6.5 while by adding 9.5 to the data group the median changes to 6.75".

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5 16/25 is the greatest and -18/25 is the least if I'm correct

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

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Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer: 1085

Step-by-step explanation:

Answer:

right π/2

Step-by-step explanation:

The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .

Therefore, the correct answer is right π/2

Answer:-

36*5= 180

44*4= 176

28*3= 84

4*2=8

180-176-84= (-80)

-80/8=(-10)

Step-by-step explanation: Hope this helps. Mark me brainliest :)))

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

5/12

Step-by-step explanation:

Isn't this just a ratio?

Answer:

1. 12 days

2. more than 200 miles

3. 11 lawns

4. at least 9 hours (about 9.92 hours)

Step-by-step explanation:

1. 20x < 254, so x < 12.7. We need an integer here, so x = 12 days.

2.

\(70 + .15x < 50 + .25x\)

\(20 < .10x\)

\(200 < x\)

\(x > 200\)

3. 65x > 699, so x > 10.8. Since fractions of lawns are not accepted here, Mark must mow at least 11 lawns.

4. Assuming that the speed stays constant, 65x = 645, so x = 9.92 hours. The trip will take at least 9 hours, actually close to 10 hours.

Answer:

The answer to this question would normally be, 85.96%, though that isnt an answer choice so the closest thing to it would most likely be answer choice A.

Using the binomial approximation to the normal, it is found that:

0.86 probability that at most 60 say yes, given by option a.

------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value is:

\(E(X) = np\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

----------------------------

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

When we are approximating a binomial distribution to a normal one, we have that \(\mu = E(X)\), \(\sigma = \sqrt{V(X)}\), if \(np \geq 10\) and \(n(1-p) \geq 10\).

----------------------------

The mean and standard deviation are given by:

\(\mu = E(X) = np = 87(0.64) = 55.68\)

\(\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{87(0.64)(0.36)} = 4.4771\)

Using continuity correction, the probability that at most 60 use is \(P(X \leq 60 + 0.5) = P(X \leq 60.5)\), which is the p-value of Z when X = 60.5, thus:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{60.5 - 55.68}{4.4771}\)

\(Z = 1.08\)

\(Z = 1.08\) has a p-value of 0.86.

Thus, 0.86 probability that at most 60 say yes, given by option a.

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Hello

The sample which she has to study is 200

The answer to this question is option A

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

21.17

Step-by-step explanation:

tan= opposite/ adjacent

tan(36)= x/29

0.73= x/29

x= 21.17

Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3} )=min(1.11,0.78)=0.78\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94\)

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2} )=min(1.5,1.33)=1.33\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42\)

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

\(cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9} )=min(0.98,0.98)=0.98\)

\(cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98\)

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Answer:

9

Step-by-step explanation:

6+13+9+14+5+7=54

54/6= 9

Answer:

the mean is 9

Step-by-step explanation:

add 6+13+9+14+5+7=54

and 54 divided by 4 equals=9

How to find a mean in any question

Count the number N of data points in your data set.

Sum up all of the data points in your data set (add them all together).

After adding them divided the sum added by the number of numbers

EX1:1,2,43,5,6-there are 5 numbers so you divided 5 by the sum

the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

a) The rejection region for this one-tailed hypothesis test is z ? z > 2.33.

The test statistic value is z = 2.76.

Therefore, the conclusion is that we reject H0. The data suggests that the difference in average tension bond strengths is greater than 0.

For this one-tailed hypothesis test, we must reject the null hypothesis (H0: m1 - m2 = 0) if the test statistic is greater than 2.33. Our test statistic value is 2.76, which is greater than 2.33, so we reject H0. This indicates that the data suggests that the difference in average tension bond strengths is greater than 0. In other words, the polymer latex modified mortar has a higher tension bond strength than the unmodified mortar.

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We use the formul for the distance between any two points (x1, y1) and (x2, y2) on the plane:

distance = square root ((y2- y1)^2+ (x2 - x1)^2)

I equation form for our case it is:

Therefore in our case tha distance becomes the square root of 25 whci is "5".

Answer: b for a sorry that’s all I Could understand

Step-by-step explanation: