The volume of Cube A is 100 cm3. What is the volume of Cube B given they are similar?​

False. Null and alternative hypothesis are not statements about descriptive statistics.

Null and alternative hypothesis are fundamental concepts in hypothesis testing, a statistical method used to make inferences about population parameters based on sample data. These hypothesis are not directly related to descriptive statistics, which involve summarizing and describing data using measures such as mean, median, standard deviation, etc.

The null hypothesis (H0) represents the default or no-difference assumption in hypothesis testing. It states that there is no significant difference or relationship between variables or groups in the population. On the other hand, the alternative hypothesis (H1 or Ha) proposes that there is a significant difference or relationship.

Both null and alternative hypotheses are formulated based on the research question or objective of the study. They are typically stated in terms of population parameters or characteristics, such as means, proportions, correlations, etc. The aim of hypothesis testing is to gather evidence from the sample data to either reject the null hypothesis in favor of the alternative hypothesis or fail to reject the null hypothesis due to insufficient evidence.

Finally, null and alternative hypotheses are not statements about descriptive statistics. Rather, they are statements about population parameters and reflect the purpose of hypothesis testing in making statistical inferences.

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Answer:

man you still have to use IXL

Step-by-step explanation:

Answer:

very confusing but i'm guessing the glide reflection on triangle DEF

Step-by-step explanation:

1/2 = 4+D/ xy 7*

The largest possible solution is x + y =w = 4

Now, According to the question:

Suppose that the sum of the squares of two complex numbers x and y is 7 and the sum of the cubes is 10.

Now, One way to solve this problem is by substitution. We have

\(x^{2} +y^2 = (x+y)^2+2xy=7\)

and,

\(x^3+y^3=(x+y)(x^2-xy+y^2)=(7-xy)(x +y)=10\)

Hence observe that we can write :

x +y = w and xy = z

This reduces the equations to \(w^2-2z =7\) and w(7 - z) =10

Because we want the largest possible w, let's find an expression for z in terms of w.

\(w^2-7 =2z\) => \(z = \frac{w^2-7}{2}\)

Substituting, \(w^3-21w+20=0\)

which factorizes as (w-1) (w+5) (w-4) = 0

Hence, The largest possible solution is x + y =w = 4

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The equation of the linear function p that has p(-11)=-7 and is perpendicular to g(w)=61​w+10 is y = (-1/61)x - 678/61.

To find the equation of the linear function p that is perpendicular to g(w)=61​w+10, we need to determine its slope first. The slope of g(w) is 61/1, which means the slope of p will be -1/61 (negative reciprocal).

Now, we can use the point-slope form of a linear equation to find the equation of p. We know that p(-11) = -7, so we can substitute these values into the equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting in our values, we get:

y - (-7) = (-1/61)(x - (-11))

Simplifying this equation, we get:

y + 7 = (-1/61)x - 11/61

Subtracting 7 from both sides, we get:

y = (-1/61)x - 678/61

Thus, y = (-1/6)x - 678/61.

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The probability that you are right is 0%.

Alice draws a 2-card hand from a standard 52-card deck, which means there are only four aces in the deck. On the other hand, Bob rolls two dice, each with six sides, so there are only two ways to roll two aces: rolling a double 1 or rolling a double 6. These events are much less likely compared to Alice drawing two aces from the deck.

Given that the game show host tells you that the mystery person obtained two aces, the only possible explanation is that it must be Alice. Bob simply does not have a high enough probability of rolling two aces to be considered as the mystery person in this scenario.

In summary, because Bob's chances of rolling two aces are significantly lower than Alice's chances of drawing two aces, the probability of you being right by guessing Bob is 0%.

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Answer:

1200cm

Step-by-step explanation:

Given data

We know that 1meter is equivalent to 100cm

i,.e 1*100

so, if height is 1.2meters

Height in centimeters is 1.2*100

Hence height in centimeters is 1200cm

Answer:

The answer is -15

Step-by-step explanation:

if 1m=100cm then 300000cm=300000/100*1m=3000

Answer:

From a point on the edge of the sea, one ship is 5 km away on a bearing S50°E and another is 2 km away on a bearing S60°W. How far apart are th

Step-by-step explanation:

120

As per the given details, the distance between the two ships is approximately 5.35 kilometers.

Trigonometry is a branch of mathematics concerned with specific angle functions and their application to calculations.

We can use the cosine law to find the distance between the two ships. Let's call the point on the edge of the sea "P", the first ship "A", and the second ship "B". We want to find the distance between points A and B.

First, we need to find the angles between the lines connecting point P to each of the ships.

We are given the bearings of the ships, which are measured clockwise from the north, so we need to subtract them from 90 degrees to get the angles with respect to the positive x-axis:

angle APB = 180 - 50 - 120 = 10 degrees

angle BPA = 90 - 50 = 40 degrees

angle APB = 90 + 60 = 150 degrees

Now we can use the cosine law:

\(AB^2 = AP^2 + BP^2 - 2(AP)(BP)cos(angle APB)\)

We are given that AP = 5 km and BP = 2 km. Plugging in the values, we get:

\(AB^2 = (5 km)^2 + (2 km)^2 - 2(5 km)(2 km)cos(10 degrees)\)

\(AB^2\) = 25 + 4 - 20cos(10 degrees)

\(AB^2\) ≈ 28.69

Taking the square root of both sides, we get:

AB ≈ 5.35 km

Therefore, the distance between the two ships is approximately 5.35 kilometers.

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Answer:

\(135\)

Step-by-step explanation:

\(3y = 3 \times 45 = 135\)

Hope this helps ;) ❤❤❤

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

The yield point of iron increases from 135 MPa to 260 MPa as the grain diameter decreases from 0.05 mm to 0.008 mm. To achieve a yield point of 205 MPa, the grain diameter would need to be interpolated between these two values.


The given information suggests an inverse relationship between grain diameter and yield point in iron. As the grain diameter decreases from 0.05 mm to 0.008 mm, the yield point increases from 135 MPa to 260 MPa. To find the grain diameter corresponding to a yield point of 205 MPa, we can interpolate between the two known points.

By calculating the proportional change in yield point relative to the change in grain diameter, we can determine the ratio of the difference between 205 MPa and 135 MPa to the difference between 260 MPa and 135 MPa. This ratio can then be used to determine the corresponding change in grain diameter. The interpolated grain diameter is the point where the yield point would be 205 MPa.

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Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

So, we know that:

27 black socks.

18 grey socks.

9 navy socks.

Probability formula: P(E) = Favouravle events/Total events

Now, insert values in the formula as follows:

P(E) = Favouravle events/Total events

P(E) = 27+18/27+18+9

P(E) = 45/54

P(E) = 15/18

P(E) = 5/6

Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?

Answer:

1 solution

No solution

Infinitely many solutions

1 solution

Step-by-step explanation:

2.3x - 7 = -7

2.3x = 0

x = 0

1 solution

3x = 5 + 3x

0 = 5

No solution

4(10 - x) = 40 - 4x

40 - 4x = 40 - 4x

Infinitely many solutions

-7 + x = -(x + 7)

-7 + x = -x - 7

2x = 0

x = 0

1 solution

Answer:

he is right

Step-by-step explanation:

I hope this helps

The Elementary School Teacher that lives in Detroit, MI makes $94681.60 in 52 weeks.

The Secretary that lives in Detroit, MI makes $37606.40 in 52 weeks.

The Truck Driver that lives in Detroit, MI makes 35630.40 in 52 weeks.

The Elementary School Teacher that lives in Lincoln, NE makes 67496 in 52 weeks.

The Secretary that lives in Lincoln, NE makes 26416 in 52 weeks.

The Truck Driver that lives in Lincoln, NE makes 33113.60 in 52 weeks.

The length of the entire tunnel is 127.88 meters by using cosine law or formulae.

Here we can use the formulae of cosine when two sides a and b and angle between then is given we can apply it.

\(c^{2} =a^{2} +b^{2} -2ab cos (\alpha )\)

Let us take surveyor as point A

one end of the tunnel denoted by point B

other end of the tunnel denoted by point C.

The length of AB is 101 meters

length of AC is 120 meters.

Measure of angle at point A = 42° + 28° =70°

Now lets find the length of tunnel

=\(\sqrt{(120^{2})+(101^{2})-2.(120)(101) cos (70) }\)

=\(\sqrt{14400+10201-24240(0.34)}\)

=\(\sqrt{24601-8246}\)

\(\sqrt{16355}\)

=127.88 meters.

Hence the length of the entire tunnel is 127.88 meters.

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

The rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

To find the rate of increase of the number of bacteria in a culture, we can use the formula

rate of change = change in number of bacteria/time elapsed.

In this case, the change in number of bacteria is 1800-600 = 1200, and the time elapsed is 2 hours.

Thus, the rate of increase of the number of bacteria is 1200/2 = 600 bacteria/hour.

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Answer:

0.625 years = 7.5 months

Step-by-step explanation:

Simple interest formula = rxtxp divided by 100

R x T x P / 100 = 30

Substitute all the values we know

3.2 x T x 1500/100 = 30

Simplify and rearrange =

3.2 x T x 1500 = 3000

3.2 x T = 2

T = 2/3.2

T = 0.625

Answer:

C and D

Step-by-step explanation:

Mathematically, a unit circle is one in which the value of the radius is 1 unit

Generally, for a unit circle we have it that;

r^2 = x^2 + y^2

where (x,y) represents the coordinates of a point on the unit circle

But from above, r = 1

Thus:

x^2 + y^2 = 1

Looking at option C, by squaring each coordinate, we have

(6/7)^2 = 36/49 and the second as 13/49

by adding both, we have

36/49 + 13/49 = 49/49 = 1

Thus, we have this as a coordinate on the unit circle

For the last option;

(5/13)^2 = 25/169 and (12/13)^2 = 144/169

Adding both, we have;

25/169 + 144/169 = 169/169 = 1

So this is also a point on the unit circle

The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.

Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.

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The percentage increase per year in the winner's check over the given period. If the winner's prize increases at the same rate, it will be $1,454,735,139.69 in 2040.

To calculate the percentage increase per year in the winner's check over the period from 1895 to 2007, we can use the following formula:

Percentage Increase = (Final Value - Initial Value) / Initial Value * 100

a. Calculating the percentage increase:

Initial Value = $140

Final Value = $1,171,000

Percentage Increase = (1,171,000 - 140) / 140 * 100 ≈ 835,714.29%

b. To estimate the winner's prize in 2040, we can assume the same annual percentage increase will continue. We need to calculate the number of years from 2007 to 2040 and apply the percentage increase to the 2007 prize.

Number of years = 2040 - 2007 = 33 years

Estimated prize in 2040 = 1,171,000 * (1 + (Percentage Increase / 100))^33

Estimated prize in 2040 = 1,171,000 * (1 + (835,714.29 / 100))^33 ≈ $1,454,735,139.69

Therefore, if the winner's prize increases at the same rate, it is estimated to be approximately $1,454,735,139.69 in 2040.

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

3.636 hour. dividing 200miles /55m/h =3.636h

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

You should put both answers that were given to you. The answer on top seemed to do it the mathematical way youre suppose to. Maybe the teacher will take both answers i don’t know

The line integral is zero: ∫C F · dr = 0

To apply Green's Theorem, we need to find the curl of the vector field F \(= (3 sin y, 3x cos y)\).

∂F2/∂x = 3 cos y

∂F1/∂y = 3 cos y

So, curl F = (∂F2/∂x - ∂F1/∂y) = 0

Since the curl of F is zero, we can apply Green's Theorem to evaluate the line integral along the given curve C, which is the ellipse \(x^2 + xy + y^2 = 36\), oriented in the counterclockwise direction.

∫C F · dr = ∬R (∂F2/∂x - ∂F1/∂y) dA

where R is the region enclosed by C.

Since the curl of F is zero, the line integral is equal to the double integral of the curl of F over the region R, which is zero. Therefore, the line integral is zero:

∫C F · dr = 0

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The probability mass function of z is :PMF(z) = { (n - x) / n , if z = 0,  x / n , if z = 1,  (x choose k) * ((n - x) choose (k - 1)) / (n choose k) , if z = k (where k range from 2 to x) }

To find the possible values and the probability mass function (PMF) of z, we need to consider the number of green balls in the sample when the draws are done without replacement.

Let's assume we have a total of n balls in the sample, where x of them are green and (n - x) are non-green. When we draw a ball without replacement, the number of green balls in the sample can range from 0 to x.

To calculate the PMF, we need to determine the probability of each possible value of z.

1. When z = 0: This means that none of the balls drawn are green. The probability of this happening can be calculated as (n - x) / n.

2. When z = 1: This means that exactly one ball drawn is green. The probability of this happening can be calculated as x / n.

3. When z = 2: This means that exactly two balls drawn are green. The probability of this happening can be calculated as (x-1) * (x / (n-1)).

4. Continuing this pattern, the probability of z = k (where k ranges from 0 to x) can be calculated as:
  (x choose k) * ((n - x) choose (k - 1)) / (n choose k)

Now, let's summarize the PMF of z:

PMF(z) = { (n - x) / n , if z = 0
          x / n , if z = 1
          (x choose k) * ((n - x) choose (k - 1)) / (n choose k) , if z = k (where k ranges from 2 to x) }

In conclusion, the PMF of z provides the probabilities of different values of z (the number of green balls in the sample) when the draws are done without replacement.

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Answer:

The measure of angle WVX is 140°.

Step-by-step explanation:

Let x be the measure of angle WVX.

\( \frac{14}{9} \pi = 2x\)

\( x = \frac{7}{9} \pi( \frac{180}{\pi}) = 140 \: degrees\)

Answer:

angle = arc length/radius
in this case, the arc length is 14/9*\(\pi\) and the radius is 2. Upon multiplying these, you get 140.

so, the answer is 140 degrees.