You have 10lbs of bananas after peeling the bananas you 3lbs. 6oz. Of banana peels. What is the yield percent

Therefore, the solutions to the given system of equations are: (2√2, -5) and (-2√2, -5).

Hence, option D (3, 0) and (−4, 7) are not solutions of the system of equations.

The given system of equations is: xy = 3.............(1)y = x² - 9..........(2) We have to solve the system of equations.

The value of y is given in the first equation. Therefore, we will substitute the value of y from equation (1) into equation (2).xy = 3x(x² - 9) = 3x³ - 27x  Now, we will substitute the value of x³ as a variable t.x³ = t

Therefore, t - 27x = 3t-24x=0t = 8x Substitute t = 8x into x³ = t.

We get:x³ = 8x => x² = 8 => x = ± √8 = ± 2√2. Substitute the value of x in y = x² - 9 to get the value of y corresponding to each value of x.y = (2√2)² - 9 = -5y = (-2√2)² - 9 = -5

A system of equations refers to a set of two or more equations that are to be solved simultaneously. The solution to a system of equations is a set of values for the variables that satisfies all the equations in the system.

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Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

Answer: I think 9

Step-by-step explanation:

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

B

Step-by-step explanation:

It the only one that make sense

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

The amount of pineapple juice that was left in the batch after a quantity was removed for testing would be = 77,000cm³

The total volume of juice that was produced in the batch = 0.08m³

To convert 0.08m³ to cm the following is carried out;

1 m³ = 1,000,000

0.08m³ = X

make X the subject of formula;

X = 0.08×1,000,000

X = 80000 cm³

The quantity of pineapple juice that was removed = 3000 cm³

The quantity left = 80000-3000 = 77,000cm³

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On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.

A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.

1 degree = 3600 arc seconds

1 degree = 60 arc minutes

A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree

B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree

C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree

D. 1' = 1/60 degree

F. 1" = 1/3600 degree

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The probability that both balls are red is 0.22, the probability that no ball drawn is red is 0.26, the conditional probability that both balls are yellow is 0.02 and the probability that the second ball is blue is 0.375 or 3/8.

Probability is a measure or quantification of the likelihood or chance of an event occurring. It is used to describe and analyze uncertain or random situations. In simple terms, probability represents the ratio of favorable outcomes to the total number of possible outcomes.

A box contains 25 balls consisting of 4 yellow, 9 blue, and 12 red balls. The probability of picking two red balls in succession without replacement is calculated using the following counting argument.

The number of ways to choose two red balls out of 12 is given by the combination C(12, 2).

The total number of ways of choosing two balls out of 25 is given by C(25, 2).

Therefore, the probability that both balls are red is as follows:

P (two red balls) = C(12, 2)/C(25, 2) = (66/300) = 0.22

The probability of drawing no red balls is calculated using the following argument.

The number of ways to choose two balls out of the 13 non-red balls is given by C(13, 2).

The total number of ways of choosing two balls out of 25 is given by C(25, 2).

Therefore, the probability that no ball drawn is red is as follows:

P (no red ball) = C(13, 2)/C(25, 2) = (78/300) = 0.26

Conditional probability P(Y1Y2) is the probability of drawing the second yellow ball when the first yellow ball has already been drawn.

The number of ways to choose two yellow balls out of 4 is given by C(4, 2).

The total number of ways of choosing two balls out of 25 is given by C(25, 2).

Therefore, the conditional probability that both balls are yellow is as follows:

P(Y1Y2) = C(4, 2)/C(25, 2) = (6/300) = 0.02

The probability that the second ball is blue is given by the following:

9/24 = 0.375 (since the first ball has already been drawn without replacement).

Therefore, the probability that the second ball is blue is 0.375 or 3/8.

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To find the probability that at least two dice show the same number, we can first calculate the probability that all five dice show different numbers, and then subtract it from 1.

Step 1: Calculate the probability that all five dice show different numbers.
The first dice can show any number, so its probability is 1. For the second dice, there are 5 remaining numbers that are different from the first one, so its probability is 5/6. Similarly, the third dice has 4 remaining numbers, so its probability is 4/6, and so on.
So the probability that all five dice show different numbers is (1) x (5/6) x (4/6) x (3/6) x (2/6) = 20/216 = 5/54.

Step 2: Subtract the probability from 1 to find the probability of at least two dice showing the same number.
1 - 5/54 = 49/54.

Therefore, the probability that at least two dice show the same number is 49/54.

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The probabilities for sub-system are as follows: a. Probability = 0.7223, b. Probability = 0.9775, c. Probability = 0.9996.

a. The probability of the sub-system operating as shown is calculated by multiplying the probabilities of each component operating successfully:

Probability = 0.85 * 0.85 = 0.7225

b. If each component has a backup with a probability of 0.85, the probability of the sub-system operating is the complement of both components failing simultaneously. We can calculate it as follows:

Probability = 1 - (1 - 0.85) * (1 - 0.85) = 1 - (0.15 * 0.15) = 1 - 0.0225 = 0.9775

c. If each component has a backup with a probability of 0.85 and a switch that is 98% reliable, the probability of the sub-system operating is the complement of both components failing simultaneously and the switch also failing. We can calculate it as follows:

Probability = 1 - (1 - 0.85) * (1 - 0.85) * (1 - 0.98) = 1 - (0.15 * 0.15 * 0.02) = 1 - 0.00045 = 0.99955

Rounded to 4 decimal places:

a. Probability = 0.7223

b. Probability = 0.9775

c. Probability = 0.9996

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Answer:

400.7 cm^3

Step-by-step explanation:

Answer:

90,502,084.19 that's the answer

Step-by-step explanation:

A is False

B is true

C is False

D is False because the table is in meters no in feet

E is True

F is False

Step-by-step explanation:

Area of a triangle = 1/2 base leg  * height

                area =  1/2 * 9 * 6 = 27 cm^2

Answer: 27 cm²

Step-by-step explanation:

     To find the area of the base of this right triangular prism we can use the area formula for a triangle. Make sure you are using the correct base (b) and height (H) in the formula that apply to the base triangle.

Given:

   A = \(\frac{bH}{2}\)

Substitute known values:

   A = \(\frac{(9\;cm)(6\;cm)}{2}\)

Multiply:

   A = \(\frac{54\;cm^2}{2}\)

Divide:

   A = 27 cm²

Answer:

i would pick A,B,D,F

-ANime❤

Answer:

The value of the proportionality constant (y to x) is: 3/10

Step-by-step explanation:

We know the slope of any graph where 'y' varies directly with 'x' gives us the constant of proportionality 'k'.

i.e. y = kx

and k = y/x

Given the points

We know that the proportionality constant (y to x) is:

k = y/x

For the point (100, 30)

k = 30/100=3/10

For the point (300, 90)

k = 90/300=3/10

For the point (500, 150)

k = 150/500=3/10

As the value of proportionality constant (y to x) is the same.

i.e. k = 3/10

Thus, the value of the proportionality constant (y to x) is: 3/10

Answer:

9/5y + 9

Step-by-step explanation:

You have to do the distributive property, which means you multiply everything that's outside the parenthesis with everything that's inside the parenthesis. If you do that, you get 9/5y + 9

Also, I love your profile picture!

that's 14 points u frejard and just use proportions

attached are tha answers :>

Answer:

Step-by-step explanation: The first one is 3 quarts because you have to divide the amount of servings (24) by 1/8.

For question number 2 the answer is 16 because 1/4 times 4 cups equals 16.

For question number 3 its 1 and 1/2 (the mixed number) because when u turn 1 and 1/2 to a fraction its 4/2 which also equal 2 so 2x4 equals 8

 Ill get u the other answer in a sec

The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.

To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.

Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.

Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.

The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.

Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)

where C(n, r) represents the number of combinations of selecting r items from a set of n items.

Evaluating this expression, we find:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859

Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.

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Answer:

The answer is t = −17.5

Step-by-step explanation:

It´s the answer because

3(t + 4)−2(2t = 3)= −4

3t + 12 −2(2t = 3) = −4

3t + 12 −2(2t/2t = 3/2)= -4

3t + 12 −2(t= 3/2)= −4

3t +12 −2⋅t= 3/2= −4

3t −2⋅t = 3/2 + 12 = −4

3t −2⋅t = 3/2 + 12 −12 = −4 −12

3t −2⋅t = 3/2 = −4 −12

3t −2⋅t = 3/2 = −16

3t -2t = 3/2 = −16

t = 3/2 = −16

t = 1.5 = −16

t = 1.5 −1.5 = −1.5 −16

t = −17.5

The probability of light being green ,yellow, not red ,and not green are 11/17, 1/17, 12/17 and 6/17 respectively.

Traffic light is red for 25 sec

Traffic light is yellow for 5 sec

Traffic light is green for 55 sec

Total of 85 seconds

The probability of the light being yellow when you reach it, all other things being equal, is 5 / 85 = 1/17

The probability of the light being green when you reach it, all other things being equal, is 55/ 85 = 11/17

The probability of the light being not red when you reach it, all other things being equal, is 5+55/ 85 = 60/85 = 12/17

The probability of the light being not green when you reach it, all other things being equal, is 5+25/ 85 = 30/85 = 6/17

As a result, the odds of a light being green, yellow, not red, or not green are respectively 11/17, 1/17, 12/17, and 6/17.

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Answer:

C & D because vertical angles have the same measures and thoses angles intersects each other

Step-by-step explanation:

The angles of the triangle is :

A = 0.506 , B = 3.692 and C  = 1.850

We have the following information is:

A triangle is defined by the three points A=(3,10), B=(6,9), and C=(5,2).

We have to find the:

Determine all angles theta, theta, and thetaθA, θB, and θC in the triangle.

Now, According to the question:

The first thing we need to do, is find the length of the sides a , b and c. We can do this by using the Distance Formula.

The Distance Formula states, where d is the distance, that:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

So,

\(a=\sqrt{(6-5)^2+(9-2)^2}\)\(=\sqrt{50}\)

\(b=\sqrt{(3-5)^2+(10-2)^2} =\sqrt{66}\)

\(c=\sqrt{(6-3)^2+(9-10)^2}=\sqrt{10}\)

We now know all 3 sides, but since we don't know any angles, we will have to use the Cosine Rule.

The Cosine Rule states that:

\(a^2=b^2+c^2-2bc.cos(A)\)

Plug all the values:

\((\sqrt{50} )^2=(\sqrt{66} )^2+(\sqrt{10} )^2-2(\sqrt{66} )(\sqrt{10} ).cosA\)

50 = 66 + 10 -2\(\sqrt{66}.\sqrt{10} cosA\)

cos (A) = 50-66-10/ -2\(\sqrt{66}.\sqrt{10}\)

cos (A) = 13/25.69

A = \(cos ^ -^1 \, (cos(A))=cos^-^1\)(13/25.69) = 0.506

We rearrange the formula for angle B.

\(b^2=a^2+c^2-2bc.cos(A)\)

Angle B:

\((\sqrt{66} )^2=(\sqrt{50} )^2+(\sqrt{10} )^2-2(\sqrt{66} )(\sqrt{10} ).cosA\)

66 = 50 + 10 -2\(\sqrt{66}.\sqrt{10} cosA\)

cos (A) = 66 -50 -10/ -2\(\sqrt{66}.\sqrt{10}\)

cos(A) = 6/ -2\(\sqrt{66}.\sqrt{10}\)

cos(A) = 3.692

A = \(cos ^ -^1 \, (cos(A))=cos^-^1\)3.692

Angle C:

\(\pi -(\frac{\pi }{4} +0.506)\) = 1.850

The angles of the triangle is :

A = 0.506 , B = 3.692 and C  = 1.850

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Answer:

3 batches but you will have some left over

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

84-54=30

30/2.5=12

Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

When presenting chunks of information, bar charts should be used. As long as there aren't too many categories to contrast, vertical bar charts can be useful for comparing several discrete or categorical variables, such as age groups, courses, and schools. For time series data, they are also highly beneficial.

Why would one use a bar chart?

To show a frequency distribution for qualitative data, bar charts are frequently employed.

                   The axis used to measure the bars should always begin at zero, unless there is a valid reason for doing otherwise.

                  Otherwise, the axis can be stretched to magnify differences in the lengths of the bars. A title and the axis labels are required for bar charts.

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