A model railroad track is 96 inches long. Estimate how many millimeters this is if 1 inch = 25.4
millimeters.

A.2500
B.25,000
C.75
D.4

Answer:

138.6 square meters

Step-by-step explanation:

The area formula for trapezoids is height x (base 1 + base 2)

                                                           7 x (14.6 + 5.2)

                                                                7 x 19.8

                                                                     =

                                                                  138.6

Answer:

1,120

Step-by-step explanation:

If you divide 280 and 5 you get 56. Then you multiply 56 and 20 and you get 1,120

When analyzing categorical data, it is often useful to examine the relationship between two variables. Crosstabs, or contingency tables, are commonly used to display the counts of observations in each combination of the two variables. However, these raw counts can be difficult to interpret, especially if the totals for each variable are different.
By transforming the counts into percentages of row or column totals, we can better understand the patterns and relationships in the data. Percentages allow us to compare the proportions of one variable within each category of the other variable, regardless of the total number of observations. This can help us identify any trends or patterns in the data that may not be immediately apparent from the raw counts.

For example, suppose we have a crosstab of gender and favorite color. The raw counts may show that more females than males prefer blue, but it's difficult to know if this difference is meaningful without knowing the total number of males and females in the sample. By transforming the counts to percentages of row totals, we can see that 40% of females prefer blue, while only 30% of males do. This suggests that there may be a relationship between gender and favorite color.

Overall, transforming raw counts into percentages of row or column totals can help us better understand the relationship between two categorical variables, especially when the totals are different.

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The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year

From the question, we have the following parameters that can be used in our computation:

s(t) = 0.12t² − t + 5.7

In 2000, we have the value of t to be

t = 2000 - 1990

Evaluate

t = 10

So, we have

s(10) = 0.12 * 10² − 10 + 5.7

Evaluate

s(10) = 7.7

Hence, the rate in 2000 is 7.7 billion dollars per year

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Question

the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year

Calculate the rate of change in 2000

Answer:

D

Step-by-step explanation:

y = x² - 4x - 5 → (1)

y = x - 9 → (2)

substitute y = x² - 4x - 5 into (2)

x² - 4x - 5 = x - 9 ( subtract x - 9 from both sides )

x² - 5x + 4 = 0 ← in standard form

(x - 1)(x - 4) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 4 = 0 ⇒ x = 4

substitute these values into (2) for corresponding values of y

x = 1 : y = 1 - 9 = - 8 ⇒ (1, - 8 )

x = 4 : y = 4 - 9 = - 5 ⇒ (4, - 5 )

Answer:

Multiply the area by 2 and divide the result by the central angle in radians.

Find the square root of this division.

Multiply this root by the central angle again to get the arc length.

The units will be the square root of the sector area units.

Check your result with Omni Calculator.

Step-by-step explanation:

nvm listen to the guy above me

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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(a) A = 1/2 (bh)

(b) b = P/R

(c) 8?

For given experiment, the probability of getting a multiple of 3 and 4 is 1/7

In this question we have been given an expreiment of rolling  two number cubes and multiply the numbers.

We need to find the probability of getting a multiple of 3 and 4

If two number cubes are rolled and multiply the numbers, the maximum output of multiplication would be 36

So, the sample space:

n(S) = 21

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

And the multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36

The number of outcomes for getting a multiple of 3 and 4 are:

12, 24, 36

n(A) = 3

so, the required probability would be,

p(A) = n(A)/n(S)

p(A) = 3/21

p(A) = 1/7

Therefore, the probability of getting a multiple of 3 and 4 = 1/7

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Answer:

24

Step-by-step explanation:

Answer:

Hi here is your answer , ummm Actually while I did the solution..I found the slope is undefined and the graph hence vertical! you can get more help through internet by searching " what happens to the graph and slope when denominator of the slope is 0 " !

Answer:

6

Step-by-step explanation:

forty-two divided by seven equals six.

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

The statements that are true about triangle QRS are:

1. The side opposite ∠Q is RS.

2. The side opposite ∠R is RQ.

3. The hypotenuse is QR.

The side adjacent to ∠R is SQ, and the side adjacent to ∠Q is QS. However, these are not the correct terms to describe the sides in relation to the angles of the triangle. The side adjacent to ∠R is QR, and the side adjacent to ∠Q is SR.

Answer:

1. The side opposite ∠Q is RS.

2. The side opposite ∠R is RQ.

3. The hypotenuse is QR.

Step-by-step explanation:

Got it right on edu 2023

Answer:96

Step-by-step explanation:

(4x4)+(4x4)+(4x4)+(4x4)+(4x4)+(4x4)

16+16+16+16+16+16

48+48

96

Answer:

z = 24

Step-by-step explanation:

35/30 = 7/6

28/7 = 4

6 x 4 = 24

28/24 = 7/6

Answer:

x = 24

Step-by-step explanation:

All you have to do is cross multiply like this..

30 x 28 = 35 x X

=

x = 30 x 28/35

30 x 28 = 840 / 35 =

24

So x is equal to 24

Hope this helps :)

Answer:

B and I

Step-by-step explanation:

1 x 3 = 3

2 x 3 = 6

3 x 3 = 9

etc.

12 x 3 = 36

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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~ Use the distance formula to measure the lengths of the sides.

~ Use the slope to check whether sides are perpendicular and form right angles.

~ Use the slope to check whether the diagonals are perpendicular to each.

I hope this helps ^-^

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

\(p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0\)

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into \(p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0\)

\(p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0\)

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

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math you do math okay math math math math math

Answer:

Yes

2n+4

No

76 percent

Step-by-step explanation:

Answer:#1. No

#2. Second option

#3. No

#4. 76%

Step-by-step explanation:

None is needed.

Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373\)

\(P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955\)

Then

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328\)

0.6328 = 63.28% probability that she wins at most 1 prize.

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The measure of angle n on the straight line is 151 degrees.

The sum of angles on a straight line are supplementary, they add up to 180 degrees.

From the image:

Measure of angle 1 = 29 degrees

Measure of angle 2 = n degrees

Since, angle 1 and angle 2 are on a straight line, their sun will equal 180 degrees.

Hence:

Angle 1 + angle 2 = 180

Plug in the given values:

29 + n = 180

Solve for n:

Subtract 29 from both sides

29 - 29 + n = 180 - 29

n = 180 - 29

n = 151 degrees.

Therefore, angle n has a value of 151°.

Option d) 151° is the correct answer.

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Answer:

30:1

Step-by-step explanation:

45*12 = 540

540/18 = 30

A rational numbers is any number that can be turned into a fraction/ratio. (Ex. 8, 0.75, 1/3). An irrational number is anything that can't be turned into a fraction/ratio. (Ex. Pi, square root of 2). Radicals and rational exponents are related because radicals can be converted into rational exponents.

Answer:

Any number that can be written as a fraction with integers is called a rational number. An irrational number is a number that cannot be expressed as a fraction for any integers. Radicals are related because for irrational numbers they cannot be simplified under the radical and you use a radical on the exponent to cancel it out, hope this helps!

Step-by-step explanation:

From percentage formula, in a vine gunshot sound effect download unblocked restaurants, the number of expected Italian restaurants in next 24 menus slipped under Eli's door is six.

We have a Vine gunshot sound effect download unblocked Restaurants often slip takeout menus. Total collected menus by Eli = 28

In this 28 menus, 7 for Italian food. We have to determine the how many menus in next 24 menus slipped under Eli's door expected from Italian restaurants. Percentage is calculated by dividing the value by the total value, and then multiplying the resultant value by 100.

Using percentage formula, 7 are Italian food out of all 28 that is total \(\frac{7 {28} × 100 = 25\%\).

Let the required number of menus slipped under Eli's door should you expect to be from Italian restaurants be x. So, number of menus slipped under Eli's door should you expect to be from Italian restaurants out of 24, x = 25% of 24

=> \(\frac{25}{100} × 24 = x\)

=> x = 6

Hence, required value is 6.

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Answer:

a. 28.8

Step-by-step explanation:

Using the theorem of similarity, the following equation can be generated:

\( \frac{x}{12} = \frac{25 + 35}{25} \)

Solve for x

\( \frac{x}{12} = \frac{60}{25} \)

Cross multiply

\( x*25 = 60*12 \)

\( 25x = 720 \)

Divide both sides by 25

x = 28.8

Both a rhombus and a square are parallelograms and quadrilaterals (which means they have four sides with parallel opposite sides). The main difference between the two is that, while a rhombus has two opposite internal angles of equal measure, a square has four right angles with equal measure. A square and a rhombus both have sides equal in length. But square has all its angles equal to 90 degrees, but a rhombus only has its opposite angles equal.

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