Which statement is true? All quadrilaterals are rectangles All rectangles are squares


all rhombi are rectangles


all squares are rhombi

Answer:

x = 55.866 ft.

Step-by-step explanation:

39^2 + 40^2 = x^2

1521 + 1600 = 3121

sqrt(3121) = 55.8659

Rounded = 55.866

Make sure to add the ft.

Answer:

Step-by-step explanation:

a²+b²=c²

39²+40²=c²

3121=c²

c=√3121

c=55.866 to 3.d.p

Answer:

22 degrees

Step-by-step explanation:

-4 + 26 = 22

Hope this helps

A dozen = 12

Multiply the prices they were sold for by 12:

12 x 60 = 720

By selling the 12 eggs they made 720

Since they bought it for 2000 they lost money.

2000 - 720 = 1280 loss

Answer:

21.15  550 divided by 26 = 21.15.

Step-by-step explanation:

I did the work on my paper. =)

The mean of the data set is 37.30

Given that

            29, 38, 39, 26, 29, 29, 39, 77, 38, 29

To find

So, according  to the question

We have,

So, we know that

               mean = \(\frac{sum\;of\;\;data}{number\;of\;data}\)

                   ∑ Ta =  29+ 38+ 39+ 26+ 29+ 29+ 39+ 77+ 38+ 29

                   ∑ Ta =  373

                     Tn =  10        

Now, The Mean of teachers ages

                     Tm =  \(\frac{sum\;of\;the\;teachers\;ages}{number\;of\;teachers}\)

                     Tm =  \(\frac{T_a}{T_n}\)

                            =  \(\frac{373}{10}\)

                     Tm  =  37.30

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Answer:

(2)

Step-by-step explanation:

150×90/100

150*0.9

15

150-15=135

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Answer:

t = -3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because B corresponds with 80 and a line segment is 180 degrees b + a =180 and a would be 100.

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

Answer:2

2b√5ab

Step-by-step explanation:

Answer:

\( \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you\)

The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.

calculation

urms=  \(\sqrt{\frac{3RT}{M} }\)

and

λ=h/murms

⟹urms=h/mλ⟹

 \(\sqrt{\frac{3RT}{M} }\)=h/mλ

72.2 = 148.17 / M

M = 148.17/72 ≈ 2

Consequently, M = 2 and the gas's molar mass is 2  kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.

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The series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other is a combination of translation and rotation that involves 150 degrees. A transformation refers to the process of changing an object's position, size, or shape.

Translation, reflection, rotation, dilation, and skew are the five basic transformation types that modify an object.In geometry, congruent shapes have the same shape and size. To superimpose one shape onto another means to make them coincide with each other.

The following series of transformations would show that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other: Step 1: Translation. Translate the parallelogram ABCD by 5 units to the right and 6 units down to obtain parallelogram A1B1C1D1.Step 2: Rotation. Rotate parallelogram A1B1C1D1 by 150 degrees counterclockwise around point A1 to obtain parallelogram A2B2C2D2.Step 3: Translation. Translate parallelogram A2B2C2D2 by 8 units to the right and 3 units up to obtain parallelogram A'B'C'D'.Thus, the series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other involves translation and rotation, with a rotation of 150 degrees.

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Answer: A

Step-by-step explanation:

If you flip the second triangle straight upwards so that x is on top and z,y are on the bottom, you could visualize the points and angles in the same locations.

The probability of the soft drink machine filling a cup between 2121 and 3030 ounces with a normal distribution of the mean of 2727 ounces and a standard deviation of 33 ounces is 0.

It is given that the soft drink machine's output is normally distributed.

We know that for any normal distribution with X~(μ,σ)

f(z)= 1/σ√2π . e^(-(x - μ)²/2σ²),for all z ∈ R.

where  μ = The mean of the distribution

σ = the standard deviation of the distribution

Here

μ = 2727

σ = 33

We need to find

P(2121< x < 3030)

We know that the relation between a normal distribution and its Z-score is

P(a < X < b) = Φ((b- μ)/ σ)  -  Φ(a - μ/ σ)

here a = 2121  and  b = 3030

Therefore we get

P(2121< x < 3030) = Φ((3030- 2727)/ 33)  -  Φ(2121 - 2727/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((303)/ 33)  -  Φ(-606/ 33)

= Φ((9.181818)  -  Φ(-18.363636)

From the Z score table, we know that the p-value will be

0 - 0

= 0

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The value of ∫∫sF⋅ds, where S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, is 0.

The Divergence Theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface. In this case, the vector field F(x, y, z) is given, and we need to evaluate the surface integral over the top half of the sphere.

To apply the Divergence Theorem, we first need to find the divergence of F. The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, we have F(x, y, z) = z^2xi + (1/3y^3 + tan(z))j + (x^2 + 4y^2)k. Therefore, the divergence of F is div(F) = 2z + tan(z).

Since the surface S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, we can parameterize it as x = cosθsinφ, y = sinθsinφ, z = cosφ, where θ ranges from 0 to 2π and φ ranges from 0 to π/2.

By applying the Divergence Theorem, the surface integral ∫∫sF⋅ds is equal to the triple integral ∭v div(F) dV over the volume enclosed by the surface S. Since the divergence of F is 2z + tan(z), we need to evaluate ∭v (2z + tan(z)) dV. However, the value of this triple integral turns out to be zero due to the symmetry of the surface and the divergence function. Therefore, the value of ∫∫sF⋅ds, where S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, is 0.

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Answer:

C

Step-by-step explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally.

BE is such a line , then

\(\frac{AE}{ED}\) = \(\frac{AB}{BC}\) ( substitute values )

\(\frac{9}{5}\) = \(\frac{9.2}{BC}\) ( cross- multiply )

9 BC = 46 ( divide both sides by 9 )

BC ≈ 5.1 ( to the nearest tenth )

Then

AC = AB + BC = 9.2 + 5.1 = 14.3

Answer:

312 hershey kisses

Step-by-step explanation:

24x13=312

Answer:

2400 cubic inches

Step-by-step explanation:

40 multiply by 30 multiply by 20

= 2400 cubic inches

Answer: 24,000 in³

Step-by-step explanation:

Formula for volume: l * w * h

40 * 30 * 20

= 24,000

Hope this helps!!! :)

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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The formula to find the surface area of a cylinder is:

In this case, we have:

B. 140π units²

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

Answer:

Step-by-step explanation:

In mathematics, a interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between.

The total volume of the composite figure is 123cm³

First let's do the prism, the volume is the product of the 3 dimensions, so we will get:

v = 12cm*1cm*5cm = 60cm³

Now let's do the cone, the formula for the volume is given, so we can just replace the numbers that we know, notice that the diameter is given and we need the radius which is half of that, so:

r = 6cm/2 = 3cm

Then the volume is:

V = 3*(3cm)²*7cm/3 = 63cm²

So the total volume is 63cm² + 60cm³ = 123cm³

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Answer:

112x-168y

Hope this helps!

Answer: y= mx+b form

Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Summer would need 4 classes for the costs of both plans to be the same

Equation is an expression used to show the relationship between two or more variables and numbers.

Let y represent the total pay for x membership classes.

At gym A:

y = 12x

For gym B:

y = 6x + 24

Hence for both plans to be the same:

12x = 6x + 24

x = 4

Summer would need 4 classes for the costs of both plans to be the same

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Answer:

Step-by-step explanation:

Ok:

1. Convert numbers to percent!

50/100*6=

300/100=

3

2. Add the 50%

6+3=9

3. Answer: 9

Answer: 9

Step-by-step explanation:

Half of 6 is 3 therefore you do 6 + 3 and get 9

Good luck!