The volume of a cube related to the area of a face by the formula V =A^3/2. What is the volume of a cube whose face has an area of 25mm^2.

Answer:

$1,699.29

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

7X-1+12x+48=180

19x+47=180

19x=133

x=7

7(7)-1=A

49-1=A

48=A

A is 48 degrees

Based on the information given, the relative size of our samples is D. We should take the same size sample from each school.

It should be noted that sampling simply means the selection of a subset of individuals from a population to estimate the population characteristics.

From the complete question, the relative size of our samples from each school if we want the two sampling distributions to have approximately the same standard deviation will be that we should take the same size sample from each school.

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Answer:when x= -2/3

That means, when the common product of f(x) & g(x) is x+2/3

Step-by-step explanation:

Answer: A.Spreads: The weights of the tigers are more spread out.

B.Centers:The leopards have a lower median weight than the tigers

Step-by-step explanation:

On analyzing the dot plots, we find that the weight of Leopards are more spread out and the weight of Leopards has a lower median than Tiger.

Median is a statistical measure that determines the middle value of a dataset listed in ascending order. The measure divides the lower half from the higher half of the dataset.

Median of Weight of Leopard = 50 kg

Median of Weight of Tiger = 125 kg

This implies that the Leopards have a lower median weight than Tigers.

What is spread of data?

Spread describes the variation of the data. One of the measures of spread is range.

Range of weight of Leopards= 40 kg

Range of weight of Tigers = 90 kg

This implies that the weight of Tigers are more spread out.

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Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = $26

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\(\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%\)

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = $94.3

Answer:

the answer is 13

Step-by-step explanation:

x < 13 that's what the answer is

Answer: (-♾️ 13)

Step-by-step explanation:

3x+11<50

3x<50-11

3x<39

X<13

The solution will be (-♾️ 13)

Answer:

x=-1/3

Step-by-step explanation:

3(1-3x)=2(-4+7)

Use distributive property.

3-9x=-8+14

Combine like terms.

3-9x=6

Subtract 3 from both sides.

-9x=3

Divide -9 from both sides.

x=-1/3

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Answer:

The value of x is -1/3.

Step-by-step explanation:

Given equation,

→ 3(1 - 3x) = 2(-4 + 7)

Now the value of x will be,

→ 3(1 - 3x) = 2(-4 + 7)

→ 3 - 9x = 2 × 3

→ -9x = 6 - 3

→ x = 3/(-9)

→ [ x = -1/3 ]

Hence, the value of x is -1/3.

Let Xk be independent and normally distributed with common mean 22 and standard deviation 11 (so their common variance is 1.1.). The value of p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265.

The common variance of independent and normally distributed random variables with a common mean can be computed with the formula

σ² = Var[Xk]

= 1.1.

This can be solved by finding the standard deviation, which is equal to the square root of the variance as

σ = sqrt(1.1)

= 1.0488.

The sum of the independent and identically distributed normal random variables can be expressed as a normal random variable with a mean equal to the sum of the individual means and a variance equal to the sum of the individual variances.

Thus, we can express this random variable as ∑k=181 Xk ~ N(22 * 181, 1.1 * 181).

To solve the given problem, we need to compute the probability that the sum of the random variables lies between -infinity and 172.89.

Since the sum of normal random variables follows the normal distribution, we can standardize the sum by subtracting the mean and dividing by the standard deviation.

Let Z be the standardized random variable.

Then Z = (X - μ)/σ

Z = (∑k=181 Xk - μ)/σ, where μ = 22 * 181 and σ = sqrt(1.1 * 181).

We need to compute P(-infinity ≤ Z ≤ (172.89 - μ)/σ) = P(Z ≤ (172.89 - μ)/σ) .

Since the standard normal distribution is symmetric about zero.

This can be solved using standard normal tables or a calculator to obtain P(Z ≤ -1.9309) ≈ 0.0265 (rounded to four decimal places).

Therefore, p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265 (rounded to four decimal places).

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Work Shown:

360/n = 360/3 = 120

Answer:

120 degrees

Step-by-step explanation:

A triangle has Three sides, so according to the given information, it should also have three lines of symmetry. To calculate the degrees apart each line of symmetry is in a triangle, we can use the same formula

Degrees apart = 360 degrees / number of sides

For a triangle:

Degrees apart= 360 degrees / 3 sides

Therefore, the lines of symmetry in a triangle are 120 degrees apart

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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Answer:

A

Step-by-step explanation:

Simon will mostly make more than ten points, so do A

Answer:

a

Step-by-step explanation:

Answer: x = 12

Step-by-step explanation:

5(x-1)+3x=7(x+1)

5x - 5 + 3x = 7x + 7

8x - 5 = 7x + 7

x - 5 = 7

x = 12

Answer:

c ------ 1/3(40) ft^3

Step-by-step explanation:

searched the formula for volume of a cylinder

Answer:

Slope = -2

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-2

Step-by-step explanation:

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

0.065

Step-by-step explanation:

Scale = 1:1000

Actual distance is 0.065 km

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find:-

Answer:-

From the given figure we can see that there are three right angled triangles namely ∆ACB , ∆BCD and ∆ACD .

To find out the value of x , we will have to use Pythagoras theorem . The Pythagoras theorem is ,

Pythagoras theorem:-

In a triangle hypotenuse is the longest side . In a right angled triangles, the side opposite to 90° will be hypotenuse.

Using Pythagoras theorem in ∆ACB :-

\(\longrightarrow AB^2+BC^2= AC^2 \\\)

\(\longrightarrow 9^2 + x^2 = AC^2 \dots(1)\\\)

Using Pythagoras theorem in ∆BCD:-

\(\longrightarrow BC^2 + BD^2 = CD^2 \\\)

\(\longrightarrow x^2+25^2 = CD^2 \dots(2) \\\)

Using Pythagoras theorem in ∆ACD :-

\(\longrightarrow AC^2 + CD^2 = AD^2 \\\)

Substituting the respective values from equations (1) and (2) ,

\(\longrightarrow 9^2 + x^2 + x^2 + 25^2 = (9+25)^2 \\\)

\(\longrightarrow 81 + 2x^2 + 625 = 34^2 \\\)

\(\longrightarrow 2x^2 + 706 = 1156 \\\)

\(\longrightarrow 2x^2 = 1156-706 \\\)

\(\longrightarrow 2x^2 = 450\\\)

\(\longrightarrow x^2 =\dfrac{450}{2}\\\)

\(\longrightarrow x = \sqrt{225} \\\)

\(\longrightarrow \underline{\boxed{\boldsymbol{ x = 15 }}} \\\)

Therefore the value of x is 15 .

Answer:

x = 15

Step-by-step explanation:

To find the value of x, use the Geometric Mean Theorem (Altitude Rule).

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of the altitude to one segment is equal to the ratio of the other segment to the altitude:

\(\boxed{\sf \dfrac{Altitude}{Segment\:1}=\dfrac{Segment\:2}{Altitude}}\)

From inspection of the given right triangle:

To find the value of x, substitute the values into the formula and solve for x:

\(\implies \dfrac{x}{9}=\dfrac{25}{x}\)

\(\implies \dfrac{x}{9}\cdot 9x=\dfrac{25}{x}\cdot 9x\)

\(\implies x \cdot x=25\cdot9\)

\(\implies x^2=225\)

\(\implies \sqrt{x^2}=\sqrt{225}\)

\(\implies x=15\)

Therefore, the value of x is 15.

Answer:

i dont

Step-by-step explanation:

thanks for points thoo

Answer:

One-third pi r squared h

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

$0.64 is the monetary value.

We are given that a 4500 square foot roll of plastic wrap costs $23.95 and we are to determine the monetary value of a 120 square foot piece of plastic wrap.

Let us find the cost per square foot by dividing the total cost of the roll by the number of square feet in the roll:

$23.95/4500 = $0.005322 per square foot

Now, we can multiply the cost per square foot by the number of square feet needed for the party game (120) to find the monetary value of the piece of plastic wrap.

Therefore, the monetary value of that 120-square-foot piece of plastic wrap is:

$0.005322 x 120 = $0.64 (rounded to the nearest cent)

Hence, the monetary value of that 120-square-foot piece of plastic wrap is $0.64.

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Answer:

m∡ADE = 80°

Step-by-step explanation:

m∡ADE = m∡ABC

m∡B = 180-(30+70) = 80°

therefore, m∡ABC = 80° and so does m∡ADE because they are congruent

Answer:

only A ans bellow

Step-by-step explanation:

let k= -4

A. k * (k - 1) * ( k - 2)

= -4 * (-4 -1) * ( -4 -2)

= -4* (-5) * (-6)

= 20*-6

= -120

B. k * ( k+1)

= -4 * ( -4+1)

= -4 * (-3)

= + 12

C. k * (-50)

= -4 * (-50)

= + 200

D . (50 - k)

= 50 - (-4)

= 50 + 4

= + 54

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if k is negative then k(k-1)(k - 2) will be definitely negative.

A number system is defined as a system of writing to express numbers.

Given that k is a  negative integer.

We need to find which of the given options are defnitely negative.

Let us consider k as -3.

k(k-1)(k - 2)

-3(-3-1)(-3-2)

-3(-4)(-5)=-60

Which is negative.

k(k+1)=-3(-3+1)=6 +ve

k (-50)=-3(-50)=150 +ve

(50-k)​=50-(-3)=53 +ve.

Hence, if k is negative then k(k-1)(k - 2) will be definitely negative.

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Answer:

  A = (4π/3 -√3) m^2

Step-by-step explanation:

The area of a sector with a given radius and arc measure is given by ...

  A = (1/2)r^2(θ -sin(θ))

Filling in the given values, the area is ...

  A = (1/2)(2 m)^2(2π/3 -sin(2π/3)) = 2(2π/3 -√3/2) m^2

  A = (4π/3 -√3) m^2 . . . . . matches choice A