Here is a balanced hanger diagram in which a circlehas a mass of 3 grams and a square has a mass of 2grams.НЕННЯKKKHKHWhich equations could represent the diagram

Answer:

the answer to this problem Is C. x>-3

Answer:

\( P(\bar X> 32500)\)

And for this case we can use the z score formula given by:

\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing the info given we got:

\( z =\frac{32500-32000}{\frac{3000}{\sqrt{100}}}= 1.67\)

And for this case we can find the probability with the normal standard table using the complement rule and we got:

\( P(z> 1.67) = 1-P(z<1.67) = 1-0.953 = 0.047\)

Step-by-step explanation:

Let X the random variable that represent the salaries of Pet Detectives of a population, and for this case we know the distribution for X is given by:

\(X \sim N(32000,3000)\)  

Where \(\mu=32000\) and \(\sigma=3000\)

We select a sample size of n =100 Pet Detectives and we want to find the following probability:

\( P(\bar X> 32500)\)

And for this case we can use the z score formula given by:

\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

And replacing the info given we got:

\( z =\frac{32500-32000}{\frac{3000}{\sqrt{100}}}= 1.67\)

And for this case we can find the probability with the normal standard table using the complement rule and we got:

\( P(z> 1.67) = 1-P(z<1.67) = 1-0.953 = 0.047\)

Answer:

1/64

Step-by-step explanation:

Answer:

B edge 2022

Step-by-step explanation:

95% confidence interval for the ratio of medians is a range of values that we are confident contains the true population ratio, with a specified level of confidence.

A confidence interval is a range of values that we are confident contains the true population parameter, with a specified level of confidence. In this case, we are looking at the ratio of medians in the Verizon data and finding a 95% confidence interval for the ratio.

Let's say the sample median for the first data set is M1 and the sample median for the second data set is M2. The standard error for M1 and M2 can be calculated using the formula for the standard error of the median.

Next, we use the formula for a confidence interval for the ratio of medians:

=> (M1/M2) +/- (Z * SE(M1/M2)),

where Z is the critical value from a standard normal distribution for a 95% confidence level.

The percent bias is the difference between the estimated value and the true value, divided by the true value and expressed as a percentage. In this case, we will calculate the percent bias of the confidence interval for the ratio of medians relative to the standard error.

Finally, we compare the results for the ratio of medians with the results for the ratio of means. This comparison can give us an idea of the difference in the level of accuracy and precision between the two estimates.

Complete Question:

Consider the Verizon data. find a 95% confidence interval for the ratio of medians. estimate the percent bias (relative to the standard error) and compare with the results for the ratio of means

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Answer:

D.

Step-by-step explanation:

6a² = surface area for cube

6(5)² = 150

2\(\pi\)(r)(h)+2\(\pi\)r²  = surface area cylinder

2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi

150 + 20pi = 212.8318531

The future value of the investment is equals to $\(32,582.78\).

The number of monthly payments over 4 years is:

= 4 years x 12 months/year

= 48 months.

We will use future value of an annuity formulae to solve which is FV = PMT x [(1 + r)^n - 1] / r

Plugging in the values, we get:

FV = 650 * [(1 + 0.022/12)^48 - 1] / (0.022/12)

FV = 650 * (0.09190014604/0.00183333333)

FV = 650 * 50.1273524766

FV = 32582.7791098

FV = $32,582.78.

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Answer:

\(\sqrt{61}\)

Step-by-step explanation:

Hi there!

We are given the points (2, 2) and (-3, -4).

We want to find the distance between them.

We can use the distance formula for that, which is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have two points, which is needed for that, but let's label their values to avoid confusion

\(x_1=2\\y_1=2\\x_2=-3\\y_2=-4\)

Now substitute those values into the formula to find the distance

\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\sqrt{(-3-2)^2+(-4-2)^2}\)

Simplify the values under the radical

\(\sqrt{(-5)^2+(-6)^2}\)

Raise the numbers under the radical

\(\sqrt{25+36}\)

Add the numbers under the radical together

\(\sqrt{61}\)

The answer cannot be simplified down further, so \(\sqrt{61}\) is the answer.

Hope this helps!

Answer:

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Step-by-step explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.

Answer:

1) 150 mph

2) 90 mph

3) 3 mph

Explanation:

1) The trains move at a constant speed, and after 5 hours they are 750 miles apart. 750/5=150

2) The faster train is 1.5 faster than the slower train, and we know their combined speed is 150 mph. 150/5=30, and 30x3=90.

3) We know that both trains combined travel 150 mph. 450/150=3.

Based on the data given, the speeds and time taken are as follows:

Speed is the ratio of distance covered and time taken.

1)The distance covered by the two trains in 5 hours = 750 miles.

The trains move at a constant speed and their combined speed will be:

Combined speed = 750/5

Combined speed = 150 mph

2) The train heading south has a speed 1.5 times faster than the other train heading north.

Ratio of speeds = 3 : 2

Speed of faster train 150 x 3/5 = 90 mph

3) The combined speed of the trains = 150 mph

Distance to be covered = 450 miles

Time taken = 450/150

Time taken = 3 hours

In conclusion, the speed of the two trains are determined from the distance travelled and time taken.

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Answer:

3?

Step-by-step explanation:

is this a trick question..

24/8=3 cm

So a rat is 3 cm times as long as a mouse

Answer:

Nah you're correct!

Step-by-step explanation:

When you add 3$ it will show as +3

Good Job!!

Answer:

tysm

Step-by-step explanation:

The restrictions on the width is that it must be between 14.1 yards and 17.3 yards

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

Area = between 240 yd² and 360 yd²

Also, we have

Length = 1.2 times the width

This means that

l = 1.2w

The area is then calculated as

Area = lw

So, we have

Area = 1.2w²

This means that

240 < 1.2w² < 360

Divide through by 1.2

200 < w² < 300

Take the square roots

14.14 < w < 17.32

Approximate

14.1 < w < 17.3

Hence, the width must be between 14.1 yards and 17.3 yards

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Answer:

The answer is 26cm

Step-by-step explanation:

what I did was that I divide 130/5 which gave me 26

Answer:

F: 52 cm

Step By Step Answer:

130 divided by 5 equals 26

26 times 2 equals 52

Answer:

[ 5 ] -350 = 10x

[ 1 ] - 5 - 2 = ∛(10x + 7) + 2 - 2

[ 6 ] - 35 = x

[ 4 ] - 343 - 7 = 10x + 7 - 7

[ 3 ] - 343 = 10x + 7

[ 2 ] -7 = ∛(10x + 7)

Explanation:

The given equation is

To solve the expression, we first need to subtract 2 from both sides

Then, make each side to the power of 3, so

Subtract 7 from both sides

Divide both sides by 10

Therefore, the order of the steps is

[ 5 ] -350 = 10x

[ 1 ] - 5 - 2 = ∛(10x + 7) + 2 - 2

[ 6 ] - 35 = x

[ 4 ] - 343 - 7 = 10x + 7 - 7

[ 3 ] - 343 = 10x + 7

[ 2 ] -7 = ∛(10x + 7)

Answer:

The given sequence is a geometric sequence and the common ratio is 4

Step-by-step explanation:

A geometric sequence is a sequence in which the next term is obtained by multiplying the previous term with a ratio r.

Given sequence is:

6,24,96,384,1536,…

Here

a1 = 6

a2 = 24

a3 = 96

a4 = 384

a5 = 1536

The common ratio is the ratio between consecutive terms of a geometric sequence.

If the common ratio of a sequence is same, then the sequence is a geometric sequence.

So,

\(r = \frac{a_2}{a_1} = \frac{24}{6} = 4\\r = \frac{a_3}{a_2} = \frac{96}{24} = 4\\r = \frac{a_4}{a_3} = \frac{384}{96} = 4\\r = \frac{a_5}{a_4} = \frac{1536}{384}= 4\)

As the common ratio is same, the given sequence is a geometric sequence.

Hence,

The given sequence is a geometric sequence and the common ratio is 4

Answer:

41,120

Step-by-step explanation:

Positive whole number exponents represent repeated multiplication of the base.

For example, 2^3 means 2*2*2. We have 3 copies of the base 2 multiplied

Another example: 2^4 = 2*2*2*2 showing four copies of '2' multiplied

When multiplying 2^3 with 2^4, we have 3+4 = 7 copies of 2 multiplied overall. Notice I added the exponents. So 2^3*2^4 = 2^(3+4) = 2^7

The general rule is that a^b*a^c = a^(b+c)

When multiplying 2 monomials together like (x^(2)*x^(2). We add the exponents together because what you are actually doing is (x*x*x)*(x*x) if you attempted to add the base  you would be instead add x^(3) +x^(2) and within algebra, you are taught you can't add these terms together because they both have a different degree to them. Hope that helps clarify the difference.

The equation of the line is y = (-1/4)x - 3.  

A line's slope provides information about its steepness and direction. In mathematics, the increase or decrease in the y-coordinate for a commensurate change in the x-coordinate is referred to as the slope of a line.

The slope-intercept form of a line is y = mx + c

Here we have a graph that shows points M and N

From the graph the coordinates of M and N are

M(0, -3) and N(8, -5)

As we know the formula for Slope = (y₂-y₁)/(x₂-x₁)

slope of given line with M and N = (-5 -(-3))/(8-0)  

= -5+3 / 8 = -2/8 = -1/4

As w know equation of the line in slope-intercept form is y = mx +c

Equation of the given line =>  y = (-1/4)x +c  

Since the line pass through (0, -3)

=> -3 = (-1/4)(0) + c

=> c = - 3  

Therefore,

The equation of the line is y = (-1/4)x - 3.  

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700 is the answer to your problem

Answer:

108 cm³

Step-by-step explanation:

Formula: V = w×h×l

Solution: V = whl = 4·3·9 = 108

Hence, the answer is 108 cm³

Answer: your question is poorly written attached below is the complete and well written question

answer : The minimal polynomial has degree m + 1 hence Z^m+1

Step-by-step explanation:

Given that

N ∈ L(V) is nilpotent

attached below is the required prove

The given expression is

First, we multiply by 10 on each side.

Then, we sum 3 on each side.

Answer:

28,339 lbs

Step-by-step explanation:

If the lifting force exerted on an airplane wing varies jointly as the area of the wing's surface and the square of the plane's velocity then:

\(F \propto Av^2 \implies F=kAv^2\)

Where:

Given:

Substitute the given values into the found equation and solve for k (variation constant):

\(\begin{aligned}F & = kAv^2\\\\10500 & = k \cdot 180 \cdot 140^2\\10500 & = 3528000k\\k & = \dfrac{10500}{3528000}\\\implies k & = \dfrac{1}{336}\end{aligned}\)

Therefore:

\(\boxed{ F=\dfrac{1}{336}Av^2}\)

To find the lifting force (F) when the plane speeds up to 230 mph, substitute the given area of the wing (A = 180 ft²) and the new velocity (v = 230 mph) into the equation and solve for F:

\(\begin{aligned}F&=\dfrac{1}{336}Av^2\\\implies F& = \dfrac{1}{336} \cdot 180 \cdot 230^2\\& = \dfrac{1}{336} \cdot 180 \cdot 52900\\& = \dfrac{1}{336} \cdot 9522000\\& = \dfrac{9522000}{336} \\& =28339.2857...\\&=28339\;\sf lbs \; (nearest\:pound)\end{aligned}\)

Therefore, the lifting force is 28,339 lbs (nearest pound).

The equations give values of 1/2 and -11/8

you should be aware that two equations are solved simultaneously if they are solved together

The given equations are

-8x+10y=16 .............................1

-4x-5y=13 ..................................2

Multiply equation 2 by 2 to have

-8x -10y=26

Subtract equation 1 from equation 2

-8x+10y=16

-(-8x-10y=26)  To get

The we have 20y = 10

Make y the subject of the relation

y=1/2

Put y = 1/2 in equation 1

-8x +10(1/2) = 16

-8x +5 = 16

-8x = 16-5

-8x = 11

Making x the subject of the formula we have

x=-11/8

In conclusion the values of x and y are -11/8 and 1/2 respectively

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By first method, he volume of the rectangular prism is (9/32) cubic feet.

By second method, the volume of the rectangular prism is (27/64) cubic feet, which agrees with the volume calculated using the first method.

Volume is a measurement of the amount of space that an object occupies. It is the three-dimensional space occupied by an object. Volume is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, and so on.

We can determine the volume of the rectangular prism in two different ways using the formula:

Volume = Length x Width x Height

First Method:

In the first method, we simply substitute the given dimensions of the rectangular prism into the formula and calculate the volume:

Volume = (3/4) ft x (3/8) ft x (3/4) ft

Volume = (9/32) ft³

Second Method:

In the second method, we can use the fact that the rectangular prism can be divided into 4 smaller rectangular prisms, each with dimensions (3/4) ft x (3/8) ft x (3/16) ft. We can calculate the volume of one of these smaller prisms and then multiply by 4 to get the total volume:

Volume of one smaller prism = (3/4) ft x (3/8) ft x (3/16) ft

Volume of one smaller prism = (27/256) ft³

Total volume = 4 x Volume of one smaller prism

Total volume = 4 x (27/256) ft³

Total volume = (27/64) ft³

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