2/v-7+v-6/v^2-7v=4/v-7

We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is

5/6 - 2/6

= 3/6

She has 3/6 now

Answer:

This is so cool.

Step-by-step explanation:

Oh my god.

A

Step-by-step explanation:

The probability of randomly selecting a freshman from the class is approximately 0.5455 or 54.55%.

To calculate the probability of randomly selecting a freshman from the class, we need to determine the total number of freshmen in the class and divide it by the total number of students in the class.

Given information:

Freshman males: 9

Freshman females: 15

Total number of freshmen: 9 + 15 = 24

To find the probability of selecting a freshman, we divide the number of freshmen by the total number of students:

Total number of students:

Freshman males: 9

Freshman females: 15

Sophomore males: 8

Sophomore females: 12

Total number of students = 9 + 15 + 8 + 12 = 44

Probability of selecting a freshman = Number of freshmen / Total number of students

Probability of selecting a freshman = 24 / 44

Simplifying the fraction:

Probability of selecting a freshman ≈ 0.5455

Therefore, the probability of randomly selecting a freshman from the class is approximately 0.5455 or 54.55%.

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The reason why the number of failures and successes in two population proportions must be up to 10 is because it is important to have many of samples from both populations.

This refers to the probability displayed that a parameter will exist between a pair of values around the mean.

It measures the extent to which one can be certain or uncertain about ones sampling method. Confidence Intervals are usually constructed using levels of 95% or 99%.

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Answer: So we can assume that the two samples are independent.

The surface area of the right rectangular prism is D) 62 square inches.

The surface area of a three-dimensional object is the total area occupied by all its faces. The right rectangular prism in question has dimensions of 2 inches (height), 5 inches (length), and 3 inches (width). The formula for calculating the surface area of a right rectangular prism is A = 2(W × L + H × L + H × W), where W is the width, L is the length, and H is the height. Substituting the given values, we get:

A = 2(3 × 5 + 2 × 5 + 2 × 3)

A = 2(15 + 10 + 6)

A = 2(31)

A = 62 square inches

Therefore, the correct option is (D).

Correct Question :

A student draws the net below to show the dimensions of a container that is shaped like a right rectangular prism.

A) 19

B) 30

C) 38

D) 62

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Let's call the price of an adult ticket as A and the price a student ticket as S. From the first two sentences "A drama club earns $1040 from a production. A total of 64 adult tickets and 132 student tickets were sold." we know that the total amount earned was $1040, and this value was reached by selling 64 adult tickets and 132 student tickets. The amount earned selling adult tickets is given by the product between the unitary price of an adult ticket and the amount of adult tickets sold. The same logic goes to the amount earned selling student tickets. We know that the sum of those two quantities adds up to $1040, therefore, we have the following equation.

From the other sentence, "An adult ticket costs twice the price of a student ticket. " we get a new relationship between A and S. A is equal to 2S.

Now we have a system with two variables and two equations. If we substitute the second equation on the first one we get a new equation only for S.

Solving this equation for S, we have

The student ticket price is $4.

Using this value for S, we can substitute in one of the equations to find the value for A.

The price of the adult ticket is $8.

Hi!

We can see the river is a straight line.

This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.

Therefore:

\(x+2x+21=180\)

Combine like terms:

\(3x+21=180\)

Subtract 21 from both sides:

\(3x=159\)

Divide both sides by 3:

\(x=53\)

Therefore, the value of x is 53 degrees.

Answer:

47

Step-by-step explanation:

6n + 5y + 4z

substitute the variables

6(4) + 5(3) + 4(2)

6 x 4 = 24

5 x 3 = 15

4 x 2 = 8

24 + 15 + 8

= 47

The bedroom should be 14.4 inches long in the scale drawing.

What is the proportion?

A proportion is an equation in which two ratios are set equal to each other.

If the scale of the drawing is 3 inches = 5 feet, that means that for every 3 inches on the drawing, it represents 5 feet in reality. To find how many inches the bedroom should be in the scale drawing, you can use the proportion:

(inches in scale drawing) / (feet in reality) = 3 inches / 5 feet

We know that the length of the actual bedroom is 24 feet. To find the length of the bedroom in the scale drawing, we can substitute 24 feet for the (feet in reality) in the proportion and solve for the (inches in scale drawing):

(inches in scale drawing) / 24 feet = 3 inches / 5 feet

Cross-multiplying gives:

(inches in scale drawing) = (24 feet)(3 inches / 5 feet) = 14.4 inches

Hence, the bedroom should be 14.4 inches long in the scale drawing.

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my profile pic go hard. feel free to screenshot

Answer:

147

Step-by-step explanation:

35% of 420

= \(\frac{35}{100}\) × 420

= 0.35 × 420

= 147 ← number of humming birds

The transformations applied to the graph of f(x) = x³ to generate the graph of g(x) = -6x³ + 2 are given as follows:

The functions are given as follows:

Due to the multiplication by -6, the transformations are given as follows:

The addition by 2 means that the graph was also translated up 2 units.

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Answer:

D) 50, 60, 70

Step-by-step explanation:

The reason why it's D since a regular triangle equals up to 180 degrees in total and D is the only one that equals 180.

50+60+70= 180 degrees

Hope this helps

Answer:

                      x=20

Step-by-step explanation:  your welcome      

                             2 x + 140 = 180

                                    -140 l -140

                                    2 x   l 40

                                    2x    l 2x

                                     x = 20

Answer:

is it trigonometry...?

Answer:

Step-by-step explanation:

Answer:

z = 9

Step-by-step explanation:

Divide both sides by 3 to get z by itself

Answer:

35

Step-by-step explanation:

equation: 17+2x=87

The most appropriate method for creating an estimate of the percent of district residents who support the building of a new middle school would be  v. A one-sample z-interval for a population proportion.

In this case, the superintendent wants to estimate the proportion (percentage) of district residents who support the building of a new middle school. To achieve this, a random sample of district residents can be selected, and the proportion of residents in the sample who support the new middle school can be calculated.

Since the sample size is relatively large (as it is a large school district), the sampling distribution can be assumed to follow a normal distribution. Therefore, a one-sample z-interval for a population proportion is suitable for estimating the proportion of district residents who support the new middle school.

Using this method, a confidence interval can be constructed around the sample proportion, providing an estimate of the true proportion of district residents who support the new middle school, along with a measure of uncertainty.

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Answer:

Step-by-step explanation:

x^2+4x+4=x²+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

=(x+2)²

side length=x+2 meters

The volume of the pyramid is 189 cubic units.

Triangular Pyramid. If the base of a pyramid is in the shape of a triangle, it is said to be a triangular pyramid. ...

Pentagonal Pyramid. ...

Right Pyramid vs Oblique Pyramid. ...

Regular vs Irregular Pyramid.

The typical formula for calculating the total surface area of a regular pyramid is provided as follows: The Total surface area of a pyramid formula = 12 pl + B, where "p" denotes the base's perimeter, "l" denotes the pyramid's slant height, and "B" is the base's area.

The value of the volume of pyramid is

1/3*9*9*7

=189 cu units

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Answer:

Volume of pyramid = \( \sf 189 \: {in}^{3} \)

Step-by-step explanation:

Now we have to,

→ find the volume of pyramid.

Formula we use,

→ Volume = (1/3) × b² × h

Then required volume will be,

→ (1/3) × b² × h

→ (1/3) × (9)² × 7

→ (1/3) × 81 × 7

→ (81/3) × 7

→ 27 × 7

→ 189 in³

Hence, the volume is 189 in³.

Answer:

x = 2(y + 4)

Step-by-step explanation:

x= 2y +"8

x = 2(y + 4)

Step 1: Find dy/dx

If xy = 36, then y = 36/x or y = 36 x^(-1).

dy/dx = -36/x^2

Step 2: evaluate dy/dx at (9,4).

dy/dx at (9,4) = -36/(9^2) = -4/9

Step 3: put together your equation in point-slope form:

y - 4 = -4/9(x-9)

or put that into slope-intercept form:

y = -4/9x +8

Answer:

yup right :)

Step-by-step explanation:

Answer: Your Correct

Step-by-step explanation:

Answer:

Its either c or b

Step-by-step explanation:

sorry if its wrong

Thus, we have proven that ∫R gdV < ∫R fdV using the comparison test for integrals. Thus, we have proven that m * vol(Ώ) < ∫Ώ fdV < M * vol(Ώ) using the properties of continuous functions and the Extreme Value Theorem.

i. To prove that ∫R gdV < ∫R fdV, given 9 < f and f, g integrable on rectangle R ⊆ R^n, we can use the comparison test for integrals.

Since g and f are integrable functions on R, their integrals exist. Let A be the set of points in R where g(x) < f(x). Since 9 < f(x), it follows that g(x) < f(x) for all x ∈ A.

Now, consider the integrals ∫A g(x)dV and ∫A f(x)dV over the region A in R. Since g(x) < f(x) for all x ∈ A, we can conclude that ∫A g(x)dV < ∫A f(x)dV.

Next, consider the integrals ∫(R - A) g(x)dV and ∫(R - A) f(x)dV over the region (R - A) in R. Since g(x) ≥ 0 and f(x) ≥ 0 for all x ∈ (R - A), we have ∫(R - A) g(x)dV ≥ 0 and ∫(R - A) f(x)dV ≥ 0.

Combining these results, we can write:

∫R gdV = ∫A g(x)dV + ∫(R - A) g(x)dV < ∫A f(x)dV + ∫(R - A) g(x)dV < ∫A f(x)dV + ∫(R - A) f(x)dV = ∫R fdV

ii. To prove that m * vol(Ώ) < ∫Ώ fdV < M * vol(Ώ), where Ώ is a region and f is continuous on Ώ, we can utilize the properties of continuous functions and the Extreme Value Theorem.

Since f is continuous on Ώ, it is bounded on Ώ according to the Extreme Value Theorem. Let m = inf(f) and M = sup(f) be the infimum and supremum of f on Ώ, respectively.

Consider a partition P of Ώ, and let V(T) denote the volume of any subregion T in the partition. By the properties of Riemann integrability, we can choose a Riemann sum S(P, f) such that m * vol(Ώ) ≤ S(P, f) ≤ M * vol(Ώ).

As the mesh of the partition approaches zero, the Riemann sum converges to the integral, so we have:

m * vol(Ώ) ≤ ∫Ώ fdV ≤ M * vol(Ώ).

Since m and M are the infimum and supremum of f on Ώ, respectively, and vol(Ώ) is the volume of the region Ώ, we can conclude that:

m * vol(Ώ) < ∫Ώ fdV < M * vol(Ώ).

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Answer:

ac−6ad−bc−3bd

Step-by-step explanation:

Answer:

\(P(A\ and\ B) = 44\%\)

Step-by-step explanation:

Given

Represents the event as follows:

A = \(Elon\ Musk\) will offer you a \(free\ trip\) into space in the next month\

B = Scientists from \(Area\ 51\) will \(start\ selling\) pet aliens next month

So, we have:

\(P(A) = 41\%\)

\(P(B) = 27\%\)

\(P(A\ or\ B) = 24\%\)

Required

Determine \(P(A\ and\ B)\)

This is calculated as:

\(P(A\ and\ B) = P(A) + P(B) - P(A\ or\ B)\)

So, we have:

\(P(A\ and\ B) = 41\% + 27\% - 24\%\)

\(P(A\ and\ B) = 44\%\)

Answer:

56.3408 ft

Step-by-step explanation: