Please tell me how to do this geometry problem

The volume of the rectangular prism given the length, width and height is 6 14/27 cubic feet.

The correct answer choice is option B

Volume of a rectangular prism= length × width × height

Length= 1 5/6 ft

Width = 1 1/3 ft

Height = 2 2/3 ft

Volume of a rectangular prism= length × width × height

= 1 5/6 × 1 1/3 × 2 2/3

= 11/6 × 4/3 × 8/3

= (11 × 4 × 8) / (6 × 3 × 3)

= 352 / 54

= 6 28/54

= 6 14/27 cubic feet

In conclusion, the volume of the rectangular prism is 6 14/27 cubic feet

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Answer:

$28

Step-by-step explanation:

$21 is 3/7

1 part = $7

4x7=28

Answer:

Step-by-step explanation: -2

The subtraction of 7 from 9 means -2.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

Given:

Subtraction of 7 from 9.

The value,

= 7 -9

= -2.

Therefore, the value of an expression is -2.

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Answer:

\(\huge\boxed{\sf Solution \ Set = \{-1, \ -2/5\}}\)

Step-by-step explanation:

\(\sf 5x^2+7x+2 = 0\\\\By \ mid-term\ break,\\\\5x^2 + 5x+2x+2=0\\\\Taking \ common\\\\5x(x+1)+2(x+1)=0\\\\Take \ (x+1) \ common\\\\(x+1)(5x+2)=0\\\\Either, (By \ Zero's \ Method)\\\\x+1 = 0 \ \ \ OR \ \ \ 5x + 2 = 0\\\\x = -1 \ \ \ OR \ \ \ x = -2/5\\\\Solution \ Set = \{-1, \ -2/5\}\\\\\rule[225]{225}{2}\)

Hope this helped!

Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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the length of the key will be 3 inched long because it is laying horizontally

The two tables provided represent the relationship between the amount of tip (y) and the total bill (x) for two different restaurants, A and B. To compare the slopes of the lines created by these tables, we can examine the ratio of the change in y to the change in x for each restaurant.

For Restaurant A, the change in x from 10 to 20 is 10, and the change in y from 1 to 2 is also 1. Similarly, the change in x from 20 to 30 is 10, and the change in y from 2 to 3 is 1. Therefore, the slope of the line for Restaurant A is 1/10 or 0.1.

For Restaurant B, the change in x from 25 to 50 is 25, and the change in y from 10 to 50 is 40. Likewise, the change in x from 50 to 75 is 25, and the change in y from 50 to 75 is 25. Hence, the slope of the line for Restaurant B is 40/25 or 1.6.

Comparing the slopes, we find that the slope of the line for Restaurant B (1.6) is 16 times greater than the slope of the line for Restaurant A (0.1). Therefore, none of the given options accurately compares the slopes.

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Answer:

7:18

Step-by-step explanation:

Chris attempted a total of 25 shots

He made 18 shots

Number of shots missed= 25-18

= 7

Therefore the ratio of shots missed and shots made can be calculated as follows

7:18

Hence the ratio is 7:18

Answer:

The answer is D. all real numbers

Step-by-step explanation:

Answer:

ok im just going to say what i know is yes or no considering if they gave the equation than the graph it would have been easier (for questions 11 and 12) so here are 2 answers. its all i could do.

Step-by-step explanation:

10: Yes

13: yes

Answer:

The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.

Both Uniform and normal probability distributions have several things in common. Both are continuous that span the entire range of potential results. Both are symmetrical, with the mean and median being equal.

A uniform distribution, on the other hand, is a probability distribution in which every value between the minimum and maximum values is equally probable. A normal distribution, also known as a Gaussian distribution, is a probability distribution in which the majority of values are concentrated around the mean, with progressively fewer values at higher or lower deviations from the mean. The uniform and normal probability distributions share many characteristics despite their differences. Uniform distribution is defined by the fact that every possible value within a specified range has the same likelihood of occurring. As a result, the uniform distribution is symmetrical, with a constant density over the specified range. Normal distribution is characterized by its "bell curve" shape, with a steep peak at the mean and decreasing density at higher and lower deviations from the mean. Both distributions are symmetrical, with the mean and median being identical. The uniform distribution is symmetrical because every value has the same likelihood of occurring, whereas the normal distribution is symmetrical due to the cumulative influence of many independent variables.The most essential feature of both uniform and normal probability distributions is that they are continuous distributions that span the entire range of possible results. This means that there are no gaps between potential results, and any conceivable result within the specified range is accounted for by the distribution.

In conclusion, both uniform and normal probability distributions are continuous distributions that span the entire range of possible results. Both are symmetrical distributions, with the mean and median being equal. The uniform distribution is characterized by a constant density over the specified range, while the normal distribution has a "bell curve" shape with a steep peak at the mean and decreasing density at higher and lower deviations from the mean.

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Answer:-22

Step-by-step explanation:

g(x)=g(-2) means that, x=-2:

so, we have to write -2 instead of every x,

5*(-2)-12=-10-12=-22

Answer:

9

Step-by-step explanation:

constant of proportionality in this problem is the cost per pant

If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

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Answer:

wouldn't it be 17 meters?

=========================================================

Explanation:

Draw a right triangle. The horizontal leg is 8 meters. The hypotenuse is 9 meters. The vertical height is unknown, so we'll call it x.

Apply the pythagorean theorem to solve for x

\(a^2 + b^2 = c^2\\\\8^2 + x^2 = 9^2\\\\64 + x^2 = 81\\\\x^2 = 81-64\\\\x^2 = 17\\\\x = \sqrt{17}\\\\x \approx 4.1231056\\\\x \approx 4.12\\\\\)

The tree is approximately 4.12 meters tall

Check out the diagram below.

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

\(8\times \dfrac 12 = 4\)

Answer:

→BA

→CD

Step-by-step explanation:

We have points

← A B C D →

We have    →BA

which is a ray going to the left

and

→CD

which is a ray going to the right

The probability P(x > 18) is equal to 1 minus the probability P(x < 18) for a normally distributed variable x with mean μ = 100 inches.

In a normal distribution, the area under the curve represents the probability of observing a certain value or a range of values. The probability P(x > 18) represents the probability of observing a value greater than 18 for the variable x. Conversely, the probability P(x < 18) represents the probability of observing a value less than 18 for the variable x.

Since the total area under the normal distribution curve is equal to 1, we can say that the sum of the probabilities of all possible events is equal to 1. Therefore, the probability of an event occurring (P(x > 18)) plus the probability of the event not occurring (P(x < 18)) is equal to 1.

Mathematically, we can express this relationship as:

P(x > 18) = 1 - P(x < 18)

So, the probability P(x > 18) is related to P(x < 18) by subtracting the latter from 1.

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Answer:

62.83

Step-by-step explanation:

Circumference=2 pi r

diameter=20

20*pi= about 62.83

so it sould be around 62.83

The height of the barrel with the given surface area is 1.8 meters.

The whole area that a three-dimensional object's surface takes up is referred to as surface area. It is the total of the areas of all the object's faces or surfaces. Depending on the measurement unit for the object's size, surface area is expressed in square units such as square inches (in2) or square metres (m2). Surface area is a crucial geometrical notion with several practical applications in the fields of construction, architecture, and engineering.

The surface area of the cylinder is given as:

A = 2πr² + 2πrh

Now, substituting the value of the surface area and r = 1.2 /2 = 0.6 we have:

9.0432 = 2(3.14)(0.6)² + 2(3.14)(0.6)h

9.0432 = 2.256 + 3.768h

6.7872 = 3.768h

h = 1.8 meters

Hence, the height of the barrel with the given surface area id 1.8 meters.

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The probability that a five-card hand will contain a straight = 5/1274

There are 52 cards in a deck from which each 13 cards are from 4 different suits (clubs, diamonds, spades and hearts) in a game of poker.

Each 13 cards from high to low are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. So a straight of five cards, i.e., five cards in unbroken numerical sequence would be got only from 10 cards in a sequence.

So the possible ways to get a single straight five from all four suits = \(4^5\)

Now as we doesn't need all 5 cards from a single suit, we can ignore 4 ways from the above number. i.e.,  \(4^5-4 = 1020\) ways.

Hence the possible ways to get a straight five from 10 cards from all four suits = 10 x 1020 = 10200 ways

Total number of ways to select 5 cards from 52 cards = 52C5

Thus,

The probability that a five-card hand will contain a straight = 10200 / 52C5

                                                                                                  = 5/1274                        Learn more about probability at https://brainly.com/question/5858025

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Answer:

C, E

Step-by-step explanation:

Answer:

The expected value of this policy is -$425.

Step-by-step explanation:

The probability distribution for the claim for damages is as follows:

 Amount to be received             Probability

$5,000 - $1,000 = $4,000            0.10

$15,000 - $1,000 = $14,000          0.005

              -$1,000                             0.895

              TOTAL                        1.000

Compute the expected value of this policy as follows:

\(E(X)=\sum x\cdot P(X=x) \\\\\)

         \(=(4000\times 0.10)+(14000\times 0.005)-(1000\times 0.895)\\\\=400+70-895\\\\=-425\)

Thus, the expected value of this policy is -$425.

Therefore, the critical F-value for the given scenario is 3.96.

To find the critical F-value, we need to use the F-distribution table or a statistical software.

Given:

Sample size for the numerator (numerator degrees of freedom) = 16

Sample size for the denominator (denominator degrees of freedom) = 10

Two-tailed test

Significance level = 0.02

Using these values, we can consult the F-distribution table or a statistical software to find the critical F-value.

The critical F-value is the value at which the cumulative probability in the upper tail of the F-distribution equals 0.01 (half of the 0.02 significance level) since we have a two-tailed test.

Using the degrees of freedom values (16 and 10) and the significance level (0.01), the critical F-value is approximately 3.96 (rounded to 2 decimal places).

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Answer:

\(\text{d. }106,250\:\mathrm{cm^2},\\\text{e. }38.5\:\mathrm{cm^2},\\\text{a. }85\:\mathrm{ft^2},\\\text{b. }7.89676\:\mathrm{m^2}\)

Step-by-step explanation:

Part D:

The figure shows a parallelogram with base 425 cm and height 250 cm. Its area can be found by \(A=bh\) and therefore the area of this shape is \(A=425\cdot 250=\boxed{106,250\:\mathrm{cm^2}}\)

Part E:

The figure shows a trapezoid. The area of a trapezoid is equal to the average of its bases multiplied by the height. Since one base is 2 cm and the other base is 9 cm, the average of these bases is \(\frac{2+9}{2}=\frac{11}{2}=5.5\:\mathrm{cm}\). The height is given as 7 cm, therefore the area of the trapezoid is \(7\cdot 5.5=\boxed{38.5\:\mathrm{cm^2}}\)

Part A:

The composite figure consists of two rectangles. The area of a rectangle with base \(b\) and height \(h\) is given by \(A=bh\). The total area of the figure is equal to the sum of the areas of these two rectangles.

Area of first rectangle (rectangle on bottom): \(5\cdot 13=65\:\mathrm{ft^2}\)

Area of second rectangle (rectangle on top):

*Since we don't know the dimensions, we must find them. Start by converting 108 inches to feet:

\(108\:\mathrm{in}=9\:\mathrm{ft}\). Therefore, the dimensions of this rectangle are (10-5) ft by (13-9) ft \(\implies5\text{ by } 4\) and this rectangle's area is \(5\cdot 4=20\:\mathrm{ft^2}\)

Thus, the area of the figure is equal to \(65+20=\boxed{85\:\mathrm{ft^2}}\)

Part B:

We've already found the area of the figure in the previous part in square feet. To find the area in square meters, use the conversion \(1\text{ square foot}=0.092903\text{ square meter}\).

Therefore, the area of the figure, in square meters, is \(85\cdot 0.092903=\boxed{7.89676\:\mathrm{m^2}}\)

Answer:12

Step-by-step explanation:

The cost of constructing the box will be = $81.77

Since the question gives us information about the rectangle,

so the area of the rectangle is shown by,

Area = 2 x (length + width)

So we have the area as,

Area = 2(lh + wh) +lw

(since the area per square meter is also given so we added l x w)

Since the cost of the base is = $5 per square meter and the cost of the sides is = $3 per square meter, so area in terms of the cost function,

⇒ C = 3 x 2(lh + wh) + 5 x l x w

⇒ C = 6(lh + wh) +5lw ---------equation 1

According to the question, the length of the rectangular container is twice that of the width of the container,

⇒ l = 2w

Substituting the new value of l in equation 1,

⇒ C = 6(2wh + wh) + 10 \(w^{2}\)

⇒ C = 18wh + 10 \(w^{2}\) ---------- equation 2

To calculate the volume of the rectangle,

V = length x width x height ( lwh )

substituting v = 10 and 2w = l,

2\(w^{2}\)h = 10

h = \(\frac{5}{w^{2} }\)

Substitute the value of h in equation 2,

⇒ C = 18w x \(\frac{5}{w^{2} }\) + 10\(w^{2}\)

⇒ C = \(\frac{90}{w}\) + 10\(w^{2}\) --------- equation 3

Differentiating the above equation we get,

⇒ C* = - \(\frac{90}{w^{2} }\) + 20w

⇒ 20w = \(\frac{90}{w^{2} }\)

Multiply both sides by \(w^{3}\)

⇒ \(20w^{3}\) = 90

⇒ \(w^{3}\) = 4.5

w = 1.65

Put the value of w in equation 3,

⇒ C = \(\frac{90}{1.65}\) + 10 x \(1.65^{2}\)

⇒ C = 81.77

Therefore, The cost of constructing the box will be = $81.77

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