Why is volume calculated in units cubed

Answer:

m = -1

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Therefore,

slope = (-12-(-9))/(-6-(-9))

= -3/3

=-1

The value of P0.05 < 0.19658. We do not reject the null hypothesis. There is not sufficient evidence that the mean age is less than 26 years.

According to the question we will set up Hypothesis

Null,  H0: U=26

Alternate, H1: U<26

Test Statistic

Population Mean(U)=26

Sample X(Mean)=24.4

Standard Deviation(S.D)=9.2

Number (n)=25

we use Test Statistic (t) = x-U/(s.d/√(n))

to =24.4-26/(9.2/√(25))

to =-0.87

| to | =0.87

Critical Value

The Value of |t α| with n-1 = 24 d.f is 1.711

We got |to| =0.87  & | t α | =1.711

According to this, we have to make a decision

Hence Value of  |to | < | t α |

P-Value: Left Tail -Ha : ( P < -0.8696 ) = 0.19658

Hence Value of P0.05 < 0.19658

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Answer:

a. \(50b + 250 \leq 3000\)

b. 55 boxes

c. 5 trips

Step-by-step explanation:

a. Each box weighs 50lbs and the number of boxes is our variable. If you add the worker's weight (180) and the cart's weight (70) you get a constant weight of 250. All of this cannot weigh more than 3000, therefore it can weigh equal to or less than it. Therefore, the equation is \(50b + 250 \leq 3000\).

b. Solve the equation to find the maximum amount of boxes that he can move in one trip, like this:

\(50b + 250 \leq 3000\\50b \leq 2750\\b \leq 55\)

Therefore, the greatest number of boxes that the worker can move is 55 boxes.

c. Divide the total number of boxes (275) by the amount of boxes that can be taken in one trip (55) to find how many trips it will take. Like this:

275/55 = 5

The worker needs to make 5 trips in order to deliver 275 boxes.

I hope this helps!!

- Kay :)

Answer:

a.) 3000 *no more than symbol* 180 + 70 +50b

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

The value of m∠ABC is 46°.

We know that BC bisects ∠ABD. Therefore, m∠CBD = m∠ABD  = 23° *4 = 92°.

We also know that BE bisects ∠CBD.

Therefore, m∠EBD = m∠EBC + m∠CBD. Since we know that m∠EBD = 23°

and m∠CBD = 2*m∠EBD = 46°,

we can solve for m∠EBC:

23° = m∠EBC°

m∠EBC = 23°

Now we can find m∠ABC:

m∠ABC = m∠ABD - m∠CBD = 92° - 46° = 46°

Therefore, m∠ABC is 46°.

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Answer: look at the image for the answer and the explanation

Step-by-step explanation:

Answer: 16 degrees

Step-by-step explanation:

To test the hypothesis H₁: μx = μy versus Hoxy, where μx and μy represent the means of X and Y respectively, we can perform a two-sample t-test. The test compares the means of two independent samples to determine if they are significantly different from each other.

The given information provides the sample means (X = 33.8, Y = 32.5) and the sample standard deviations (Sx = 3.9, Sy = 5.1). The sample sizes for both X and Y are n = m = 25.

Using this information, we can calculate the test statistic, which is given by:

t = (X - Y) / sqrt((Sx^2 / n) + (Sy^2 / m))

Plugging in the values, we get:

t = (33.8 - 32.5) / sqrt((3.9^2 / 25) + (5.1^2 / 25))

Next, we need to determine the degrees of freedom for the t-distribution. Since the sample sizes are equal (n = m = 25), the degrees of freedom for the test is given by (n + m - 2).

Using the t-distribution table or software, we can find the critical value corresponding to a significance level of α = 0.05 and the degrees of freedom.

Finally, we compare the calculated test statistic with the critical value. If the test statistic falls within the rejection region (i.e., the absolute value of the test statistic is greater than the critical value), we reject the null hypothesis. The p-value can also be calculated, which represents the probability of observing a test statistic as extreme or more extreme than the calculated value, assuming the null hypothesis is true.

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Answer:

x = 23

Step-by-step explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

Answer:

second one

Step-by-step explanation:

Answer:

C has the largest area. It is 4.5 square units.

Step-by-step explanation:

A:

area = bh/2 = 2 * 3/2 = 3

B:

area = bh/2 = 2 * 3/2 = 3

C:

area = bh/2 = 3 * 3/2 = 4.5

C has the largest area. It is 4.5 square units.

Answer:

$2193.75

Step-by-step explanation:

9 times 13

times 18.75

Answer:

1 1/12 has part of a whole number but 3/4 doesn't have a whole number.

Step-by-step explanation:

1 1/12 is also greater than 3/4

Answer:

3/4 is the difference

Step-by-step explanation:

Answer:3 tháng 8 lúc 13:04. Tìm x. a) (4x-1)²-(4x-5)(4x+5)=3. b) (x+2)³-(x³+8)=0. Đọc tiếp... Toán lớp 8. 1. んuﾘ ｲ ( ✎﹏IDΣΛ亗 ) CTV. 3 tháng 8 lúc 16:17.

Step-by-step explanation:

500 mph is the speed of the plane.

This creates a right triangle, with the distance between the plane and the radar station serving as the hypotenuse (s). Let y represent the plane's height and x represent its flight route.

s2 = y2 + x2

Given: the constant value of y = 6

negative since decreasing, ds/dt = -400

Trying to locate dx/dt

Taking the implicit derivative of the above equation's two sides

0 + 2xdx/dt = 2sds/dt

(S/X) ds/dt = dx/dt

When x = 8

s = √(62+82) = √100 = 10

dx/dt = (10/8)(-400) = -500 mph, or 500 mph traveling toward the radar station at a distance of 6 miles.

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Answer:

16π

Step-by-step explanation:

Given:

\(\text{Radius of circle}: 4 \ \text{m}\)

Formula:

\(\text{Area of circle} = \pi r^{2}\)

Replace the radius in the formula:

\(\implies \text{Area of circle} = \pi (4)^{2}\)

Evaluate the area:

\(\implies \text{Area of circle} = \pi (4)(4)\)

\(\implies \text{Area of circle} = 16\pi\)

Since the question says to determine the area in terms of π, the final answer is 16π.

On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.

We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:

tan θ = h/d

Substituting the given values, we get:

tan θ = 6/15

Simplifying this expression, we get:

tan θ = 0.4

To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:

θ = tan⁻¹ (0.4)

Using a calculator, we get:

θ ≈ 21.8 degrees

Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.

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Answer:

Step-by-step explanation:

192° is in quadrant III, so sin(192°) < 0, cos(192°) < 0, tan(192°) > 0

Answer:

C. sin 192° < 0

Step-by-step explanation:

see image below

The Upper Control Limit (UCL) for the X-chart is approximately 14.028.

To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).

The control limits for the X-chart can be determined using the following formulas:

\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)

\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)

In these formulas:

X-double-bar represents the overall average measurement.

MR-bar represents the average moving range.

A2 is a constant that depends on the sample size.

The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

In your case, the overall average measurement is 12.5, and the average moving range is 0.5.

Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)

\(\approx 3.267 - (0.15 \times 1.414)\)

≈ 3.267 - 0.2121

≈ 3.0559

Now, we can calculate the control limits for the X-chart:

\(UCL = X-double-bar + A2 \times MR-bar\)

\(= 12.5 + 3.0559 \times 0.5\)

= 12.5 + 1.52795

≈ 14.028

Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.

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Answer:

the answer is E

Step-by-step explanation:

We want to find how many integers are between 2020 and 2400 such that a criteria is meet, and the criteria is that the four digits are different and are arranged in increasing order.

We will see that there are 15 of these numbers between 2020 and 2400, so the correct option is C.

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

To count the number of digits that meet the given criteria, we first need to analyze how the criteria is.

If the numbers must be in increasing order, then the smallest number that can be in the hundreds place is 3 (the smaller integer larger than 2).

so we have:

23__

The number next to the 3 can be a 4, for example:

234_

And the final number can be any number larger than 4, so we have {5, 6, 7, 8, 9} a total of 5 options.

If instead of a 4, the number next to the 3 is a 5, we have:

235_

And the number next to the five can be any digit larger than 5, so now we have 4 options.

Now, we can't have another number than a 3 in the hundreds place, because if we put a 4 there, we are out of the range, and 3 is the smallest digit that we can use there.

Then we already saw all the possible numbers that we can make, adding the numbers of options that we got above we will get:

5 + 4 + 3 + 2 + 1 = 15

This means that are 15 of these numbers between 2020 and 2400. Then the correct option is C.

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Answer:

its B: Y= x + 6

Step-by-step explanation:

hope this helps

Answer:

∠ R ≈ 36.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos R = \(\frac{adjacent}{hypotenuse}\) = \(\frac{RT}{RS}\) = \(\frac{8}{10}\) , thus

∠ R = \(cos^{-1}\) (\(\frac{8}{10}\) ) ≈ 36.9° ( to 1 dec. place )

Using the constant proportionality we get the value of x as 6 when y is 45.

Given that y varies directly with x.

If y=-3 when x=-2/5, then we can find the constant of proportionality by using the formula:

`y = kx`.

Where `k` is the constant of proportionality.

So we have `-3 = k(-2/5)`.To solve for `k`, we will isolate it by dividing both sides of the equation by `(-2/5)`.

Therefore we get `k = -3/(-2/5) = 7.5`

Now we can find x when y = 45 using the formula `y = kx`.

Therefore, `45 = 7.5x`.To solve for `x`, we will divide both sides by 7.5.

Therefore, `x = 6`.So when y is 45, x is 6. Hence, the answer is `6`.

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Answer:

A. 150

Step-by-step explanation:

Calculate the probability of landing on an odd number: 1/2.

Multiply the probability by the number of trials: (1/2) * 300.

Simplify the expression: 150.

Therefore, a reasonable prediction is that the event of landing on an odd number will occur 150 times out of the 300 rolls of the fair 6-sided die.

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

☆ -10 ☆ is your correct answer!

Answer: 8.5

Step-by-step explanation: we was doing this in class

Answer:

8.4

Step-by-step explanation:

The constant of Proportionality of wins to loses is 12.

Given, The total no. of games won by team is 84 and the team loses 6 games in the season.

When two or more parameters are directly or indirectly proportional to one another, their relationship is expressed as a = kb or a = k/b, where k indicates how the two variables are related. This k is known as the proportionality constant.

So, let a = Total no. of games won by team

and b = no. of games lost by team

So, proportionality constant (k) = Total no. of games won by team(a)  / no. of games lost by team(b)

k = 84/6

k = 12.

Hence, the proportionality constant is 12.

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We have

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} \vec f(\vec r(t)) \cdot \dfrac{d\vec r}{dt} \, dt\)

and

\(\vec f(\vec r(t)) = 5\sin(t) \, \vec\imath - \cos(t) \, \vec\jmath + t \, \vec k\)

\(\vec r(t) = \sin(t)\,\vec\imath + \cos(t)\,\vec\jmath + t\,\vec k \implies \dfrac{d\vec r}{dt} = \cos(t) \, \vec\imath - \sin(t) \, \vec\jmath + \vec k\)

so the line integral is equilvalent to

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (5\sin(t) \cos(t) + \sin(t)\cos(t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (6\sin(t) \cos(t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \int_0^{\frac{3\pi}2} (3\sin(2t) + t) \, dt\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \left(-\frac32 \cos(2t) + \frac12 t^2\right) \bigg_0^{\frac{3\pi}2}\)

\(\displaystyle \int_C \vec f \cdot d\vec r = \left(\frac32 + \frac{9\pi^2}8\right) - \left(-\frac32\right) = \boxed{3 + \frac{9\pi^2}8}\)