In the table, how can I get from 8 km to 1 km?

A. Multiply by 8.

B. Divide by 8.

C. Divide by 5.

D. Multiply by 5.
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The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).

The Bayes theorem can be used to determine P(T|F):

P(T|F) = P(F|T) * P(T) / P(F)

where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).

Using the conditional probability formula, we can determine P(F|T):

P(F|T) = P(F and T) / P(T)

Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.

Therefore:

P(F|T) = 0.95 / 0.95 = 1

Substituting into Bayes' theorem:

P(T|F) = 1 * 0.95 / 1 = 0.95

Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.

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An example of a rational value between -8 and -9 is -8.4.

Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.

A rational number is a number that can be expressed as a fraction of two integers. All integers are rational numbers. -8.4 can be expressed as a quotient of -8.4/1.

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Answer:

204 inches

Step-by-step explanation:

Answer:

Umm I wann say 18 because 18+18=36

Step-by-step explanation:

The region is shaded, and the cylindrical shell is shown as a rectangle with width dx and height h(x).

To find the volume generated by rotating the region bounded by the curves y = 15e^(-x^2), y = 0, x = 0, and x = 1 about the y-axis using the method of cylindrical shells, we can use the following formula:

V = 2π ∫[a, b] x * h(x) dx

where a and b are the x-values that define the region, x is the distance from the axis of rotation (in this case, the y-axis), and h(x) is the height of the cylindrical shell.

In this case, the region is bounded by y = 15e^(-x^2), y = 0, x = 0, and x = 1. To find the limits of integration, we need to determine the values of x where the curves intersect. Setting y = 0, we have:

0 = 15e^(-x^2)

Since the exponential function is always positive, this equation has no real solutions. Therefore, the region is bounded by x = 0 and x = 1.

Now we need to find the height of the cylindrical shell, h(x), at a given x-value. The height of each shell is given by the difference in y-values between the curves. In this case, it is given by:

h(x) = y_top - y_bottom

    = 15e^(-x^2) - 0

    = 15e^(-x^2)

Now we can calculate the volume:

V = 2π ∫[0, 1] x * (15e^(-x^2)) dx

To evaluate this integral, we can use integration techniques or numerical methods.

The sketch provided illustrates the region bounded by the curves and the typical cylindrical shell. The x-axis represents the x-values, and the y-axis represents the y-values.

The region is shaded, and the cylindrical shell is shown as a rectangle with width dx and height h(x).

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Answer: $5.25

Step-by-step explanation:

Brianna bought 1 3/4 pounds of cheese

Each pound cost $3.00

1 3/4 x $3

Turn this into an improper fraction, you get 7/4

7/4 x $3

$21 over 4

Do the division, you get $5.25

Answer:

Step-by-step explanation:

1 pound price= 3 dollars

Then she has to pay= (7/4)*3 = 5.25 dollars

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The number of bit strings of length 10 with the same number of 0s as 1s is 252.

To understand why, let's break down the problem step by step.

Calculate the total number of possible bit strings of length 10.

Each bit in a string can either be 0 or 1, so for a string of length 10, we have 2 options for each bit. Therefore, the total number of possible bit strings is 2^10 = 1024.

Calculate the number of bit strings with an equal number of 0s and 1s.

For a bit string to have the same number of 0s as 1s, we need to choose 5 positions for the 0s out of the 10 positions available. Once we've chosen the positions for the 0s, the positions for the 1s are automatically determined.

The number of ways to choose 5 positions out of 10 is given by the binomial coefficient "10 choose 5," which can be calculated as C(10, 5) = 252.

Therefore, the main answer is that there are 252 bit strings of length 10 that have the same number of 0s as 1s.

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Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

The number of individuals who failed the quiz is d. 10

For the following distribution of quiz scores, if a score of x = 4 or lower is a failing grade, the number of individuals who failed the quiz is 10.

The distribution of quiz scores is shown below:X    f6    35    64    53    52    31    2For this question, we need to find the number of individuals who failed the quiz, given that a score of x = 4 or lower is a failing grade. In other words, we need to find the frequency of the scores that are 4 or lower. To do this, we need to add the frequencies of the scores that are 4, 3, 2, 1, and 0.x  f4   53   52   31   2

The frequency of scores that are 4 or lower is 15, which means that 15 individuals received a score that is 4 or lower.

Out of these individuals, the ones who failed are the ones who received a score of 4 or lower. Hence, the number of individuals who failed the quiz is the frequency of the score that is 4 or lower, which is 10. Therefore, the answer is d. 10.

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The party costs a total of 1445.

Given,

The rent of meeting room at the convention center = 400

Additional fee for each person attends the party = 5.50

Number of people in Karen’s class = 285

The number of people attended the graduation party:

2/3 of 285

= (2/3)285

= 95 x 2

= 190

Therefore the additional fee collected from 190 people,

190 x 5.50 = 1045

Now the total cost of the party = rent of room + total additional fees

= 400 + 1045

= 1445

That is, the party costs a total of 1445.

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A nonparametric test for the equivalence of two populations would be used instead of a parametric test for the equivalence of the population parameters if:

a. No information about the populations is available.

Nonparametric tests do not rely on specific assumptions about the underlying population distribution or parameters. They are distribution-free and can be used when there is limited or no knowledge about the populations being compared. Nonparametric tests use ranks or categorical data to assess the equivalence or difference between populations.

Parametric tests, on the other hand, assume specific distributions or parameters and may require certain assumptions to be met, such as normality and equal variances.

Therefore, when no information about the populations is available, a nonparametric test is preferred as it provides a robust and reliable method for testing equivalence.

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Answer:

1.44

Step-by-step explanation:

All you have to do is divide 13 by 9 and get 1.44, that is how much snow fell in 1 hour

pls mark brainliest

Answer:

it is 5

Step-by-step explanation:

7d+4d-3d=40

7d+1d=40

8d=40

40/8=x

x=5

if it was addition

Answer:

1080°

Step-by-step explanation:

Let n = the number of sides    

(n-2)180

(8-2)180

6(180) =  1080

Helping in the name of Jesus.                        

It saves time, doesn't need to be changed if a row or column is added to the range, and adjusts the range when the function is copied to another cell.

Based on the values in another column, we'll discover how to add up a column of numerical data. We are attempting, for instance, to assess product sales based on the typical customer rating. Thus, each of our products has an average rating of 9.8, 7.2, 6.1, and so on because customers score our products on a scale of 1 to 10. The sales totals for goods with ratings of 9 to 10, 7 to 8, and so forth should be calculated.

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Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

Compare to vertex form of parabola y=a(x-h)²+k

Vertex:-

As a is negative vertex is maximum

Max temperature=9°C

Answer:

9 °C

Step-by-step explanation:

Given function:

\(P(x)=-2(x-9)^2+200\)

The given function is a quadratic in vertex form.

Vertex form:  \(y=a(x-h)^2+k\)  (where (h, k) is the vertex)

Therefore, the vertex is (9, 200)

The vertex is the minimum point for a parabola that opens upward.

The vertex is the maximum point for a parabola that opens downward.

The given function has a negative leading coefficient, therefore is opens downwards, and the vertex is the maximum point.

Therefore, the temperature (x-value) that will give the maximum number of fish (y-value) is the x-value of the vertex:  9 °C

Statements (b) and (D) can be concluded from the box plots.

From the box plots, we can see that Miguel's median number of text messages per day is around 35, while Shona's median is around 45. This means that Shona sent more text messages per day on average.

Statement (b) can be concluded because the box plot for Miguel shows that the upper quartile (75th percentile) is around 50, meaning that for approximately 25% of the days, he sent 50 or more text messages. Since this range extends to the maximum value of 70, it is likely that Miguel sent 50 or more text messages per day for approximately 15 days.

Statement (D) can be concluded because we can compare the interquartile ranges (IQRs) for both Miguel and Shona. The IQR for Miguel ranges from approximately 20 to 50, while the IQR for Shona ranges from approximately 35 to 55. This means that Shona sent more text messages than Miguel on at least the 50% of days that fall within her IQR. Therefore, we can conclude that the number of days on which Shona sent more text messages than Miguel is at least half of the total number of days.

Statement (E) cannot be concluded from the box plots, as there is no clear overlap or intersection between the two box plots. Therefore, we cannot determine whether there was a day on which Shona and Miguel each sent 25 text messages. Additionally, statement (C) cannot be concluded as there is no clear indication of the exact number of days on which Shona sent 40 text messages.

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$41.69 is the amount of the first monthly payment that is used to reduce the principal.

The amount of the down payment made by Julie and Barry is:

\($\begin{align*}\text{Down payment} &= 25% \times \text{Purchase price} \&= 0.25 \times 96,400 \&= 24,100\end{align*}$\)

So the amount financed is:

\($\begin{align*}\text{Amount financed} &= \text{Purchase price} - \text{Down payment} \&= 96,400 - 24,100 \&= 72,300\end{align*}\)

We can use the formula for the monthly payment of a mortgage to find the amount of the payment that is used to reduce the principal. Let P be the principal, r be the monthly interest rate, and n be the number of months in the loan term. Then the monthly payment M is given by:

\($\begin{align*}M &= \frac{rP}{1-(1+r)^{-n}}\end{align*}\)

We know that the monthly payment is 373.07, the interest rate is 5.5% per year, compounded monthly, and the loan term is 30 years, or 360 months. We can solve for the principal P as follows:

\($\begin{align*}373.07 &= \frac{0.055/12 \times P}{1-(1+0.055/12)^{-360}} \\Rightarrow P &= 72,300\end{align*}\)

So the amount of the first monthly payment that is used to reduce the principal is:

The interest for first payment will be:

= $72300 × 5.5% × 1/12

= $72300 × 0.055 × 0.08333

= $331.36

Therefore, the amount of the first monthly payment is used to reduce the principal will be:

= $373.07 - $331.36

= $41.69

Therefore, $41.69 is the amount of the first monthly payment that is used to reduce the principal.

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Answer:0.33(may vary)

Step-by-step explanation: Turn 35% into a decimal, which becomes 0.35. Find a number that's more than 0.3, but less than 0.35, for example, 0.33

Answer:

1/3 or 0.33

Step-by-step explanation:

Hope this helpss!! :)))

Look at the bottom of this link for more help

https://www.solpass.org/released_sol_tests/8MathSOL2001.pdf

option (a) is the correct answer. The required coating for the spherical ball bearing having a protective coating of 0.03 cm and a radius of approximately 6 cm is 12.564 cm3.

Given that: A spherical ball bearing is coated with 0.03 cm of a protective coating.The radius of this ball bearing is 6 cm.

the surface area of the sphere is:SA = 4πr2.

Therefore, the surface area of a spherical ball bearing with a radius of 6 cm is calculated as follows:SA = 4πr2= 4 × 3.14 × 6 × 6= 452.16 cm2

Now that the protective coating is applied to the sphere, the total surface area of the sphere will be as follows:

New Surface area = (4π(6 + 0.03)2) cm2= (4π(6.03)2) cm2= 457.08 cm2.

The difference between the two surface areas (without coating and with coating) will provide the area that needs to be coated.

A = New Surface area - Surface area without coating= 457.08 - 452.16= 4.92 cm2.

Therefore, the volume of the protective coating required is given as follows:Volume of coating = Area to be coated × Thickness of coating= 4.92 × 0.03= 0.1476 cm3 = 0.148 cm3 (approximately) .

Hence, the required coating for the spherical ball bearing having a protective coating of 0.03 cm and a radius of approximately 6 cm is 12.564 cm3 . Therefore, option (a) is the correct answer.

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Answer:

Thus, the surface area of a cylinder involving pie is:

\(\:\:\:A=36\pi \:\) in²

or

\(A\approx 113.1\) in²

Step-by-step explanation:

Given

Using the formula to determine the surface area of a cylinder:

\(A=2\pi \:rh+2\pi \:r^2\)

\(A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:\)

\(\:\:\:A=36\pi \:\) in²

Thus, the surface area of a cylinder involving pie is:

\(\:\:\:A=36\pi \:\) in²

or

\(A\approx 113.1\) in²

Answer:

\(x>1/2\)

Step-by-step explanation:

\(2(4x-3)>-3(3x)+5x\)

Expand the brackets.

\(8x-6>-9x+5x\)

Add -9x and 5x

\(8x-6>-4x\)

Add 4x and 6x on both sides.

\(8x+4x>6\)

Add the like terms.

\(12x>6\)

Divide 12 into both sides.

\(12x/12>6/12\)

\(x>1/2\)

Answer:

x > 1/2

Step-by-step explanation:

We have the inequality 2(4x - 3) > -3(3x) + 5x.

Let's first expand all the parentheses on the left side. When doing so, remember that we take the sum of the products of the outside number with each of the inside numbers:

2 * 4x + 2 * (-3) > -9x + 5x

8x - 6 > -4x

Add 4x and 6 to both sides:

8x + 4x > 6

12x > 6

Divide by 12:

x > 6/12

x > 1/2

Thus, any x value greater than 1/2 works: x > 1/2.

~ an aesthetics lover

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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Answer:

5.6  percent

Step-by-step explanation:

because

A graph of the function f(x) = [-x] is shown in the image below.

The domain and range in interval notation are;

Domain = [-∞, ∞].

Range = [-∞, ∞].

In Mathematics and Geometry, a greatest integer function is a type of function which returns the greatest integer that is less than or equal (≤) to the number.

Mathematically, the greatest integer that is less than or equal (≤) to a number (x) is represented as follows:

f(x) = [x].

By critically observing the graph, we can logically deduce that the parent function was reflected over the x-axis and its domain and range include the following;

f(x) = [-x]

Domain = [-∞, ∞] or all real numbers.

Range = [-∞, ∞] or all real numbers.

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