The table shows the number of animals, by type, at a petting zoo.

Animal Number

Goats 5

Sheep 3

Cows 2

Rabbits 6

Select the true statements about the information in the table.

Choose all answers that apply:

(Choice A)

The ratio of cows to all animals is 1:16

(Choice B)

For every 3 rabbits there are 8 total animals.

(Choice C)
None of the above​

Answer:

13.) 237 millimeters

14.) 87.5 feet (87 feet 6 inches)

15.) 28

16.) 121 degrees

Step-by-step explanation:

16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).

Here r = 18 ft and s = 38 ft, and so:

                                     38 ft

s = rФ becomes Ф = ------------ = 2.111 radians

                                     18 ft

which, in degrees, is:

2.111 rad      180 deg

------------- * --------------- = 121 degrees, to the nearest degree

  1            3.142

(A) A person's chance of experiencing neither symptom is 30%. (b) Seventy percent of people are likely to experience at least one symptom. (c) If a person has symptom B, there is a 25% chance that they will also have both symptoms.

(A) The individual exhibits neither symptom:

Let's write P(A) for the likelihood of having symptom A and P(B) for the likelihood of having symptom B. Given that 20% of people only have symptom A, 40% only have symptom B, and 10% only have both symptoms, the likelihood of having neither symptom can be determined as follows:

100% - P(A) - P(B) - P(both symptoms) - P(neither symptom)

P(none of the symptoms) = 100% – 20% – 40% – 10% = 30%

As a result, there is a 30% chance that a randomly selected person will exhibit neither symptom.

(b) At least one symptom is present in the person.

We can use the complement rule to calculate the likelihood that at least one symptom will be present. Neither symptom is the opposite of having at least one symptom. Because of this, P(at least one symptom) = 1 - P(neither symptom), and P(at least one symptom) = 1 - 0.30 = 0.70.

Therefore, there is a 70% chance that a randomly selected individual has at least one symptom.

(c) The person has both symptoms, given that they have symptom B:

To calculate this conditional probability, we use the formula:

P(both symptoms | symptom B) is equal to the product of P(both symptoms and symptom B) / P(symptom B).

We are informed that 40% of people only have symptom B whereas 10% have both symptoms. P(both symptoms | symptom B) = (10% / 40%) = 0.25 as a result.

Given that they have symptom B, a randomly selected person has a 25% chance of having both symptoms.

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Answer:

f=c+2

Step-by-step explanation:

Answer:probably just mutiply all the numbers!

Step-by-step explanation:

Answer:

x=-5/3

Step-by-step explanation:

12x+24=4

12x=4_24

12x=_20

3x=_5

Answer:

D because then triangles DEF and ABC would mapped onto one another.

Step-by-step explanation:

d) Neither

The equation or rule that represents the nth term of the given sequence will be aₙ = (-1)ⁿ × [5 + (n - 1) × 5].

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given as,

-5, 10, -15, 20, ......

Then the rule for the given sequence is given as,

aₙ = (-1)ⁿ × [5 + (n - 1) × 5]

The equation or rule that represents the nth term of the given sequence will be aₙ = (-1)ⁿ × [5 + (n - 1) × 5].

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The expression with a coefficient of 10 and a constant of 5 is given by 10x + 5.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values. In a equation say : ax + b, [a] is called coefficient of [x] and [b] is independent of [x] and hence is called constant.

We have a expression with a coefficient of 10 and a constant of 5.

The expression with a coefficient of 10 and a constant of 5 is given by -

10x + 5

Therefore, the expression with a coefficient of 10 and a constant of 5 is given by 10x + 5.

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Answer:

x = 7

Step-by-step explanation:

Given the equations

2x + 3y = 17 → (1)

2y + z = 1 → (2)

5x + 10z = 25 → (3)

Rearrange (2) expressing z in terms of y

z = 1 - 2y

Substitute z = 1 - 2y into (3)

5x + 10(1 - 2y) = 25

5x + 10 - 20y = 25 ( subtract 10 from both sides )

5x - 20y = 15 → (4)

Multiply (1) by 20 and (4) by 3, then add to eliminate the y- term

40x + 60y = 340 → (5)

15x - 60y = 45 → (6)

Add (5) and (6) term by term to eliminate y, that is

55x = 385 ( divide both sides by 55 )

x = 7

Answer:

\(x = 7\)

Step-by-step explanation:

From the equation \(2y + z = 1\) , we can separate \(z\) so that \(z = 1-2y\).

The equation \(5x+10z = 25\) can then be turned into:

\(5x+10(1-2y) = 25\)

\(5x+10-20y = 25\)

\(5x -20y = 15\)

\(x-4y = 3\) (divide by \(5\) on both sides)

We can now use elimination to solve for one of the variable:

\(2(x-4y) = 2\times3\) (times 2 to get \(2x\) for elimination)

\(2x-8y=6\)

\(2x+3y-(2x-8y) = 17-6\)

\(11y = 11\)

\(y = 1\)

Now, we can use substitution to solve for \(x\):

\(2x+3y = 17\)

\(2x+3 = 17\)

\(x = 7\)

Hope this helps :)

Answer:

1 is the result of equation.

Step-by-step explanation:

Given that,

→ x = 1

The equation will be,

→ [{((x × 2) + 4) ÷ 2} - 2]

Then the result of the eq. will be,

→ [{((1 × 2) + 4) ÷ 2} - 2]

→ [{(2 + 4) ÷ 2} - 2]

→ [{6 ÷ 2} - 2]

→ [3 - 2] = 1

Hence, 1 is the value of equation.

Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

1/2

Step-by-step explanation:

2/4 divide with 2 and you will get 1/2

Answer:

-1/2

Step-by-step explanation:

because 2 goes into both two and 4, so you divide -2 by 2 to get -1 and you divide 4 by 2 to get 2.

If we are given that:

To solve for n, add 5 to both sides.

Next, solve for n

Answer:

There is one point: A (x, y) = (2, 0)

Step-by-step explanation:

A point of the square OABC is invariant only if its location coincides with location of the rotation axis, that is, that such point experiments only rotation, no translation in any form. The center of rotation coincides with the location of one of the vertices of the square and, therefore, there is one invariant point on the perimeter: A (x, y) = (2, 0)

Answer: 2.5

Step-by-step explanation:

To convert ounces to pounds you divided by 16

40 divided by 16 is 2.5

Answer:

2.5 lbs

Step-by-step explanation:

We need a conversion factor that converts ounces into pounds.

It is accepted that 16 ounces (oz) = 1 pound (lb).  Make this a conversion factor:

   Conversion factor =   (1 lb)/(16 oz)

We want to convert oz into pounds.  If the 40 oz is multiplied by (1 lb/16 oz) the oz will cancel, leaving justs lbs:

   (40 oz)*((1 lb)/(16 oz)) = (40/16) lbs

40 oz is equal to 2.5 lbs

Answer:

a = 5

Step-by-step explanation:

|a|-|5|=5-a

a = 5

The length and angles of the congruent trapezium are:

Length: 10 cm

Base angles: 100 degrees

Height: 5.877 cm

What is congruence ?

Congruence is a term used in geometry to describe when two geometric shapes or objects have the same shape and size, and therefore, they are equal to each other. In other words, if two shapes or objects are congruent, it means that they can be placed on top of each other and completely overlap without any gaps or overlaps. Congruence can apply to different types of geometric figures, such as triangles, circles, rectangles, and more. To show that two figures are congruent, various methods can be used, such as using the properties of the figures, measurement of their corresponding sides and angles, or transformations like rotations, reflections, and translations.

According to the question:
If the two trapeziums are congruent, then they have the same shape and size. Therefore, the corresponding sides and angles of the trapeziums must be equal.

Given the measurements of one trapezium with a length of 10 cm, 7 cm, 12.4 cm and an angle of 80 degrees, we can find the corresponding measurements of the other trapezium as follows:

Length: The length of the other trapezium must be equal to the length of the first trapezium, which is 10 cm.

Base angles: The base angles of the other trapezium must be equal to the base angles of the first trapezium, since they are congruent. To find the base angles, we can use the formula for the sum of angles in a trapezium, which is:

sum of angles = 360 degrees

base angle + base angle + 80 degrees + 80 degrees = 360 degrees

2 base angle = 200 degrees

base angle = 100 degrees

Therefore, the base angles of the other trapezium are also 100 degrees.

Height: The height of the other trapezium can be found using the formula for the area of a trapezium, which is:

area = (sum of parallel sides) x (height) / 2

Rearranging this formula to solve for the height, we get:

height = 2 x area / (sum of parallel sides)

We can use the given measurements of the first trapezium to find its area as follows:

area = (sum of parallel sides) x (height) / 2

= (10 + 12.4) x h / 2

= 11.2h

Solving for h, we get:

h = area / 11.2

= (7 x 10 x sin(80)) / 11.2

= 5.877 cm (rounded to 3 decimal places)

Therefore, the height of the other trapezium is also 5.877 cm.

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The sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

What is sampling distribution ?

An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population.            

                         It depicts a spectrum of potential results for a statistic, such as the mean or mode of a variable, for a population.

Given,

Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325.

Simulation A will consist of 1500 trials with a sample size of 100.

Simulation B will consist of 2000 trials with a sample size of 50.

Center for Simulation A and Simulation B will be roughly equal.  

Overall Sample size of Simulation A will be

  = 1500 * 100  = 150000

Overall Sample size of Simulation B will be

 = 2000 *  50  =  100000

Hence, the sample size for Simulation A is greater than then the sample size for Simulation B and the variability of Simulation A will be less then the variability of Simulation B.  

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The complete question is -

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

y = (9/4)x + 2, given that I've assume the correct meaning of "-5x4."

Step-by-step explanation:

A parallel line has the same slope as the reference line,

The reference line is 9x-4y = -5x4, as written.  I'm not sure the 4 belongs, but I'll assume it is written correctly.  I'm not sure if the term -5x4 is meant to mean -5x^4, -20x or -20.  I'll assume -20:

9x-4y = -20

Put the equation into standard slope-intercept form:  Y = mx + b, where m is the slope and b is the y-intercept (the value of y when  x = 0).

-4y = -9x - 20

y = (9/4)x + 5

This line has a slope of (9/4).  The parallel line will have the same slope.

y = (9/4)x + b

We can find a value of b that would shift this line to include (4,7) by using this point in the equation:

y = (9/4)x + b

7 = (9/4)(4) + b

7  = 9 + b

b = 2

The equation of a line parallel to the reference line is y = (9/4)x + 2

Answer:  a < -7 OR a > 15

Step-by-step explanation: Thanks for the brainliest.

Answer: \(x = \frac{3}{4}\)

Step-by-step explanation:

\(4x-2=1\\Add(2)\\4x=3\\Divide(4)\\x=3/4\)

Hope it helps <3

Answer:

\(\boxed{x=\frac{3}{4}}\)

Step-by-step explanation:

\(4x-2=1\)

Add 2 on both sides.

\(4x-2+2=1+2\)

\(4x=3\)

Divide both sides by 4.

\(\displaystyle \frac{4x}{4} =\frac{3}{4}\)

\(\displaystyle x=\frac{3}{4}\)

The conventional B/C ratio using the expected EUAC (Equivalent Uniform Annual Cost) can be computed as 1 / EUAC

To calculate the conventional B/C ratio using the expected EUAC, we need to determine the present value of costs and benefits over the project's life and then compare them.

Cost Data:

Year 1: $10,000

Year 2: $8,000

Year 3: $6,000

Benefit Data:

Year 1: $15,000

Year 2: $12,000

Year 3: $9,000

Life Probability Distribution:

Year 1: 0.2

Year 2: 0.5

Year 3: 0.3

To calculate the present value of costs and benefits, we multiply each cash flow by the respective probability and discount it to present value. Assuming a discount rate of r%, the present value (PV) can be calculated using the formula:

PV = Cash Flow / (1 + r)^n

where n is the year of the cash flow.

Calculating the present value of costs:

PV(Costs) = ($10,000 / (1 + r)^1) + ($8,000 / (1 + r)^2) + ($6,000 / (1 + r)^3)

Calculating the present value of benefits:

PV(Benefits) = ($15,000 / (1 + r)^1) + ($12,000 / (1 + r)^2) + ($9,000 / (1 + r)^3)

The expected EUAC can be calculated as the sum of PV(Costs) divided by the sum of PV(Benefits), considering the probabilities:

EUAC = (PV(Costs) * 0.2 + PV(Costs) * 0.5 + PV(Costs) * 0.3) / (PV(Benefits) * 0.2 + PV(Benefits) * 0.5 + PV(Benefits) * 0.3)

Finally, the conventional B/C ratio is obtained by taking the inverse of the EUAC:

B/C ratio = 1 / EUAC

The conventional B/C ratio using the expected EUAC for the given cost, benefit data, and life probability distribution can be computed using the provided calculations. This ratio allows for a comparison between the present value of costs and benefits over the project's life, considering the probability distribution.

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Answer: y = -4/3x + 0. Yes, that point lies on the line

Step-by-step explanation:

Use this equation, Δy/Δx and this one, y = mx + b. Or, change in the y value divided by the change in the x value.

-4 + 8 = 4

3 - 6 = -3

The slope, m, is -4/3. Now solve for b by plugging in the slope.

\(-4 = \frac{-4}3 (3) + b\). B is equal to 0

To see if that point lies on the function, plug it in the equation and see if it is true. Multiply -4 x -3 to get 12, divide by 3 to get 4, then add 0. The equation says that 4 = 4, which is infact true

Answer:

y=-4x/3

the point (-3,4) is on the line y= -4x/3

Step-by-step explanation:

the points (6,-8) and (3,-4)

a) (y- y1)/(y2- y1)=(x- x1)/(x2- x1)

(y+8)/(-4+8)=(x-6)/(3-6)

(y+8)/4=(x-6)/(-3)

-3y-24=4x-24

So, y=-4x/3

b) (-3; 4)

4= -4*(-3)/3

4=4 it is true,

the point (-3,4) is on the line y= -4x/3

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

Explanation:

Let's go through the answer choices to see which relation is a function or not.

i hope this helps! let me know if you want me to explain more. sorry the picture is a little blurry

Answer:

\(\sqrt{169}\) = 13

\(\sqrt{36}\) = 6

\(\sqrt{196}\) = 14

Step-by-step explanation:

answer:

a) \(\sqrt{169}=13\)

b) \(\sqrt{36}=6\)

c) \(\sqrt{196}=14\)

hope this helps :)  

-audrey <3

Answer:

Step-by-step explanation:

i poopeyd in ma pants

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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In AABC, mZA = 15° and mZ B = 120°, the triangle that is similar to AABC is A. JKL, in which mJ = 15° and mL = 45°

The answer is A MNP, in which mJ = 15° and mL = 45°. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

In AABC, mZA = 15° and mZB = 120°. InmJ = 15° and mL = 45° Therefore, the corresponding angles of AABC and AMNP are congruent. Additionally, the sides of AABC and AMNP are in proportion. Therefore, ABC and MNP are similar triangles.

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