Describe another way you can find 18 = 3.​

Answer:

3 jumps in 12 minutes

Step-by-step explanation:

Lets start by converting the rate of jumps in 10 hours to 1 hour. If we divide 150 by 10 we get 15 jumps per hour. We know there are 60 minutes in 1 hour so lets convert that rate. We divide 15 by 60 to get .25 jumps per minute. We then do .25 times 12 to get 3. So the answer is 3 jumps in 12 minutes.

Answer:

Step-by-step explanation:

Estimate π as 3.14

Do the maths : 6 x 3.14 x 3 = 56.52

1 d.p : 56.5
Nearest whole number : 57

The probability of randomly picking out a book of poetry from a bookshelf depends on the total number of books on the shelf and the number of poetry books among them. If there are 10 books on the shelf and 2 of them are poetry books, then the probability of randomly picking out a poetry book is 2/10 or 1/5.

To calculate the odds in favor of choosing a book of poetry, we need to compare the number of favorable outcomes (picking a poetry book) to the number of unfavorable outcomes (picking a non-poetry book). In this case, the odds in favor of choosing a book of poetry would be 2:8 or 1:4, since there are 2 favorable outcomes (picking a poetry book) and 8 unfavorable outcomes (picking a non-poetry book) out of a total of 10 books.

In summary, the probability of randomly picking out a book of poetry from a bookshelf depends on the number of poetry books among the total number of books. The odds in favor of choosing a book of poetry can be calculated by comparing the number of favorable outcomes to the number of unfavorable outcomes.

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What is 16% of 78? Round to the nearest tenth.

16% = 0.16

so:

0.16 * 78 = 12.48

round:

12.5

The mid-point of the sides of this quadrilateral are the vertices of a parallelogram.

You should know that in every parallelogram, the opposite sides are equal and parallel.

The given vertices are (2,4), (5,8), (9,5) and (6,1).

Let the vertices be A,B,C,D And the midpoints of the sides be M, N, O, P

Coordinates of A  (2+5)/2 , (4+8)/2 = (3.5 , 6)

Coordinates of B  (5+9)/2 , (8+5)/2 = (7,6.5)

Coordinates of C  (9+6)/2 , (5+1)/2 = (7.5, 3)

Coordinates of D  (6+2)/2 , (1+4)/2 = (4 , 2.5)

The distance between the vertices is denoted by the formula

distance = \(\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }\)

AB= √(3.5-7)²+(3-6.5)² = √12.5 = 3.5

BC= √(7-7.5)²+(6.5.3)² = √6.5 = 2.5

CD= √(7.5-4)²+(3-2.5)² = √12.5 = 3.5

DA= √(4-3.5)²+(2.5-6)² = √6.5 = 2.5

From the calculations, it is clear that  the opposite side of the quadrilateral are equal

This means that quadrilateral is a parallelogram

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The correct question:

A quadrilateral has the vertices at the point (2,4), (5,8), (9,5) and (6,1). Show that the mid-point of the sides of this quadrilateral are the vertices of a parallelogram.

Answer:

how you find that out

Step-by-step explanation:

Answer:

388.79 (nearest hundredth)

Step-by-step explanation:

Given sequence:  324, 54, 9, ...

Therefore:

\(a_1=324\)

\(r=\textsf{common ratio}=\dfrac{54}{324}=\dfrac16\)

Sum of a finite geometric series:

\(S_n=\dfrac{a_1-a_1r^n}{1-r}\)

Sum of the first 6 terms → n= 6:

\(\begin{aligned}S_6 & =\dfrac{324-324(\frac16)^6}{1-\frac16}\\ & =\dfrac{324-\frac{1}{144}}{1-\frac16}\\ & =\dfrac{9331}{24}\\ & = 388.79\:\textsf{(nearest hundredth)}\end{aligned}\)

So

\(\\ \rm\Rrightarrow S_n=\dfrac{a-ar^n}{1-r}\)

\(\\ \rm\Rrightarrow S_6=\dfrac{324-324(1/6)^6}{1-1/6}\)

\(\\ \rm\Rrightarrow S_6=\dfrac{324-\dfrac{1}{12^2}}{\dfrac{5}{6}}\)

\(\\ \rm\Rrightarrow S_6=\dfrac{9331}{24}=388.79\)

intoTo do this, you just have to plug the value of x or y into the equation and solve to get its corresponding x or y value. So,

*If x = 2

*If y = 3

*If x = 6

*If x = 0

*If x = 3

*If y = 0

*If y = 8

Therefore, the table would be

Now, to find the slope of the line you can solve for y in the equation because that way you will have the equation of the line in its slope-intercept form, that is

So,

Then, in this case

Therefore, the slope of the line is -3.

Answer:

24

Step-by-step explanation:

3*8 = 24

We can always find a monochromatic rectangle by reducing the problem to finding a monochromatic rectangle in a smaller area by moving the bottom of the rectangle up by one unit method.

What is rectangle?

A rectangle is a quadrilateral (a 2-dimensional shape with four sides) with four right angles. This means that opposite sides of a rectangle are parallel and congruent, and all four angles are equal to 90 degrees.

Let us consider a rectangle with sides parallel to the coordinate axes. Such a rectangle can be uniquely determined by two pairs of points that define its opposite corners. If all four of these points are the same color, then we have found a monochromatic rectangle. Otherwise, there are three cases to consider:

The two points at the top of the rectangle are the same color, and the two points at the bottom are the other color. In this case, we can reduce the problem to finding a monochromatic rectangle in a smaller area by moving the bottom of the rectangle up by one unit.

The two points on the left side of the rectangle are the same color, and the two points on the right side are the other color. In this case, we can reduce the problem to finding a monochromatic rectangle in a smaller area by moving the left side of the rectangle to the right by one unit.

Both pairs of points are of mixed color. In this case, we can reduce the problem to finding a monochromatic rectangle in two smaller areas by dividing the rectangle into four equal parts with a vertical or horizontal line.

By repeating this process on the smaller rectangles obtained in each case, we can eventually find a monochromatic rectangle. Since the rectangles we consider at each step have half the area of the previous ones, this process terminates after at most log_2(A) steps, where A is the area of the original rectangle.

Therefore, we can always find a monochromatic rectangle with this method.

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Complete question:

Each point in the x-y plane colored red or blue. show that there is a rectangle whose corners are all the same color.

Answer: 3/5

Step-by-step explanation:

my geometry teacher told me lolol

The 95% confidence interval would be given by (0.257;0.443)

We have the following information available from the question is:

The standard error to give a 95% confidence interval for the proportion of the population to agree with the statement.

In a random sample of 100 people, 35 agree.

Now, According to the question:

Number of people that agree, X = 35

random sample taken, n = 100

p = 35/100 = 0.35 estimated proportion of people that agree.

We use the formula:

The population proportion have the following distribution:

p ~N \((p\sqrt{\frac{p(1-p)}{n} } )\)

We have to find the critical value:

Since our interval is at 95% of confidence, our significance level would be given by :

\(\alpha =1-0.95=0.05\) and

\(\frac{\alpha }{2}=0.025\)

And the critical value would be given by:

\(Z_\frac{\alpha }{2}=-1.96, z_1_-_\frac{\alpha }{2}=1.96\)

The confidence interval for the mean is given by the following formula:  

p(cap) ± \(Z_\frac{\alpha }{2}\sqrt{\frac{p(1-p)}{n} } )\)

The standard error is given by:

standard error = \(\sqrt{\frac{0.35(1-0.35)}{100} } )\) = 0.048

If we replace the values, we get:

0.35 - 1.96 \(\sqrt{\frac{0.35(1-0.35)}{100} } )\) = 0.2567

0.42 + 1.96 \(\sqrt{\frac{0.42(1-0.42)}{150} } )\) = 0.443

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Complete question is:

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technology to estimate the standard error from a bootstrap distribution generated from the sample. Then use the standard error to give a 95% confidence interval for the proportion of the population to agree with the statement. StatKey tip: Use ‘‘CI for Single Proportion" and then ‘‘Edit Data" to enter the sample information.

Click here to access StatKey.

In a random sample of 100 people, 35 agree.

Estimate the standard error.

Round your answer to three decimal places.

standard error = _____________

Find the 95% confidence interval.

Round your answers to three decimal places.

The confidence interval is ____________Entry field with incorrect answer now contains modified data to ______________Entry field with incorrect answer now contains modified data.

Answer:

1.75k + 1.25 < 3.

Corrected:

1.75k + 1.25 < 3.

where's the construction of what todo

Answer: y = 24

Step-by-step explanation:

13/26 = 12/y

13y = (12)(26) = 312

y = 312/13 = 24

Answer:

k = - 8

Step-by-step explanation:

given that (x - a) is a factor of f(x) , then f(a) = 0

given

(x - 1) is a factor of f(x) then f(1) = 0 , that is

3(1)³ + 5(1) + k = 0

3(1) + 5 + k = 0

3 + 5 + k = 0

8 + k = 0 ( subtract 8 from both sides )

k = - 8

There are 13 teams in the softball league, so there are 13 options for the first-place team. Once the first-place team is determined, there are 12 remaining teams for the second-place spot. Finally, there are 11 remaining teams for the third-place spot. Therefore, the number of different end-of-the-season rankings of first, second, and third place is possible is:

13 x 12 x 11 = 1,716

So there are 1,716 possible rankings.

Answer:

right triangle

Step-by-step explanation:

because 15 would be the base so 11 and 12 would be the sides and fot the triangle to be acute or obtuse the total of the sides (11+12) has to be lass than the base (15), but it is more 23 so it has to be a right triangle.

The labor productivity of this manufacturing process in terms of dollars per labor hour is $73.47.

To find the labor productivity of this manufacturing process in terms of dollars per labor hour, we need to calculate the total revenue from the tuxedos and divide it by the total number of labor hours.

Total revenue from tuxedos = 96 tuxedos * $225 per tuxedo

                                               = $21,600

Total number of labor hours = 7 employees * 42 hours per employee

                                               = 294 labor hours

Labor productivity = Total revenue / Total number of labor hours

                               = $21,600 / 294 labor hours

                               = $73.47 per labor hour

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The distance the tip of the bat travels is equivalent to the length of the arc which is 205 inches

The distance the tip of the bat travels is equal to the length of the arc it sweeps through. To calculate this length, we need to use the formula:

length of arc = (angle / 360) x 2πr

where angle is the central angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14159.

Substituting the given values, we get:

length of arc = (255 / 360) x 2π x 46

length of arc = (0.7083) x 2 x 3.14 x 46

length of arc = 204.6 inches (rounded to two decimal places)

Therefore, the distance the tip of the bat travels is approximately 205 inches to the nearest inch.

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Answer:

18.5 minutes

Step-by-step explanation:

Koto’s average velocity along her route was 4.5 m/s.

She started at her house and traveled 15,000 meters north, 5,000 meters east, 20,000 meters south, and then 5,000 meters west.

5000 meters west - 5000 meters east = 0

20,000 south - 15000 north = 5000 meters

4.5 meters = 1 second

5000 meters = x seconds

Cross Multiply

4.5 × x = 5000 × 1

x = 5000/4.5

x = 1111.11111111 seconds

There are 60 seconds in 1 minute.

60 seconds = 1 minute

1111.11111111 = y minutes

60 × y = 1111.11111111 × 1

y = 1111.11111111/60

y = 18.5185185185 minutes

Approximately = 18.5 minutes

The time of her trip is 18.5 minutes

Answer:

18.5

Step-by-step explanation:

Answer: 32: Rational.

Step-by-step explanation:

The square root of 32 is an irrational number as it is non-terminating. It cannot be expressed in the form p/q which is what makes a rational number.

Answer:

x-intercept is (3, 0)

y-intercept is (0, -10)

Answer: B. 6.500

Step-by-step explanation: I just took the quiz.

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

Solve:

∠A=∠B

8x+6=4x+38

4x=32

x=8

Answer:

∠ B = 70°

Step-by-step explanation:

A and B are alternate exterior angles and congruent, that is

∠ A = ∠ B , substitute values

8x + 6 = 4x + 38 ( subtract 4x from both sides )

4x + 6 = 38 ( subtract 6 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

Thus

∠ B = 4x + 38 = 4(8) + 38 = 32 + 38 = 70°

Answer:

0.9412

Step-by-step explanation:

Ultimately, if you know the length of the arc, and you know the length of the radius, the central angle (in radians) is just how many radii long the arc is. angle=arc lengthradius length=16 feet17 feet≈0.9412.

Answer:

As x approaches 6:

\( \frac{6 - x}{ {x}^{2} - 36 } = - \frac{x - 6}{(x - 6)(x + 6)} = - \frac{1}{x + 6} = - \frac{1}{6 + 6} = - \frac{1}{12} \)

The limit of the given function as x approaches 6 is -1/12. This is achieved by factoring and revising the original function, and then substituting into the revised function.

The student is asking for the limit of the function (6-x) / (x²-36) as x approaches 6. In mathematics, this is a problem of calculus and specifically involves limits. Let's solve this by first factoring the denominator to get (6-x) / ((x-6)(x+6))

By realizing we can revise the numerator as -(x-6), we make it obvious that the limit can be directly computed by substituting x=6 after canceling out the (x-6) terms. The result is -1/12, therefore the limit of the function as x approaches 6 is -1/12.

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Step-by-step explanation:

2x +34 =64

2x=30

X=30/2

X=15

Answer:

\( \boxed{x = 15} \)

Step-by-step explanation:

\( = > 2x + 34 = 64 \\ \\ = > 2x = 64 - 34 \\ \\ = > 2x = 30 \\ \\ = > x = \frac{30}{2} \\ \\ = > x = 15\)