Okay so for context there's 4 pounds of pears 3 pounds of grapes 6 pounds of pineapple and 3 pounds of oranges
OKAY NOW FOR THE ACTUAL QUESTION
Jorge wants to bring 2 pounds total of this fruit salad to a potluck dinner, how much of each ingredient should he use?

As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C'  = {f}.

Demorgan's law can be utilised in set theory and boolean algebra to make mathematical formulations simpler. Let's say that the universal set U has two subsets, A and B. A' is A's complement, and B' is set B's complement.

Given that, (An B)' UC'.

Using the De Morgan's law we have:

(A ∩ B)’ = A’ ∪ B’.

Substituting this in (An B)' UC'. we have:

A’ ∪ B’ U C'

A' = {f, p, x, y}

B' = {f, g, h, p}

C' = {f, g, x, z}

A’ ∪ B’ U C'  = {f}

As sets A, B, and C are subsets of the universal set U, the value of A’ ∪ B’ U C'  = {f}.

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ANSWER

k = 1/4 = 0.25

EXPLANATION

The red figure is smaller than the blue figure, therefore the scale factor must be less than 1.

When a figure is dilated, the image is similar to the original figure. This means that the ratio between the corresponding side lengths of the figures is constant. This constant is the scale factor.

In this diagram we know the lenght of the base: 28 and 7 after the dilation. The scale factor is:

Answer:

y = 11

Step-by-step explanation:

Answer:

y = 11

Step-by-step explanation:

11-5=6

hope this helps

Answer:

-3

The y-intercept is where the line touches the y-axis

On the graph the line touches the y-axis at y=-3

Therefore the y-intercept is y=-3

5th term of the sequence is -4

To find the 5th term in the sequence, we need to substitute n =  5 into the expression given

 \(a_5\) =  26- 6( 5)  

\(a_5\) =  26- 30

\(a_5\) = -4  

The formula given, an =  26- 6n, represents an  computation sequence with a common difference of-6.

This means that each term in the sequence is  attained by obtain 6 from the  former term.  

It's important to note that the formula is written in general form, meaning that it can be used to find any term in the sequence by simply plugging in the  matching value of  n.

 In this case, we were asked to find the 5th term, so we substituted n =  5 into the formula to get a5 = -4.

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Answer:

Step-by-step explanation:

Your choices A and C are the same

but the decimal of 1/11 is 0.090909

so your answer would be 2.09

Answ

Step-by-step explanation:wirugf4

Answer:

m=2/3

Step-by-step explanation:

I'm not entirely sure what you mean by -3,3 but I'm guessing it is a coordinate.

The part you got wrong was asking for the slope. To find slope, you do rise/run (aka vertical/horizontal movement)

Starting at point (-3,0), I went up two and right 3 to get to point (0,2). I tried it again going from point (0,2) to point (3,4).

Answer: m= 2/3

equation: 2/3x + 2

Step-by-step explanation:

well, when looking at the graph, we already know that the y intercept is 2 so when writing an equation it’s always going to say +2 at the end of that specific equation. With m, we need to know where is the next point at an actual number and not in the middle of random ones. So I went back where another point is which is (-3,0). Then it goes to (0,2). To get there, you need to move up 2 and move to the right 3. 2 is your rise, 3 is your run. Rise/run. That’s how I got 2/3. Hope this helps you :)

Answer:

Rs 36 600

Step-by-step explanation:

PRT/100

P is the principle

R is the rate of interest

T is the time taken

30 000 * 2 * 11

=660 000/100

= 6600 is the amount of interest charged after the 2 years

now to find the total amount received after the 2 years

= 6600 + 30 000 =36600

The linear function that models the relation in this problem is given as follows:

y = 5.5x + 1000.

A linear function in slope-intercept form is modeled according to the following rule:

y = mx + b

In which:

For this problem, from the given text, there are two points on the function:

(160, 1880) and (200, 2100).

As stated in the first bullet point, the slope is given by change in y divided by change in x, hence:

m = (2100 - 1880)/(200 - 160) = 5.5.

Hence:

y = 5.5x + b.

When x = 200, y = 2100, hence the y-intercept b can be found as follows:

2100 = 5.5(200) + b.

b = 2100 - 5.5(200)

b = 1000.

Hence the equation is given as follows:

y = 5.5x + 1000.

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Answer:well stacy can buy 2 5lb boxes or 5 2lb boxes

Step-by-step explanation:

Answer: Well stacy can add 10 1lbs or 2 5lbs

Step-by-step explanation:

If three bulbs are randomly selected, the probability that a) exactly 2 are 23 watts is 0.136, the probability that b) all are of the same type is 0.542 and c) there will be one bulb of each type is 0.244.

Here we have been given that out of 23 bulbs,

8 are 13 watt

9 are 18 watt

6 are 23 watt

now if three bulbs are randomly selected out of these, it can be done in

²³C₃ ways

a)

There are 6, 23 watts, and 17 bulbs that are not 23 watts.

Hence they can be chosen in

⁶C₂ X ¹⁷C₁ ways

Therefore the probability to get exactly 2 23 watt bulbs is

[⁶C₂ X ¹⁷C₁]/²³C₃

= [6 X 5 X 17 X 3 X 2]/[2 X 23 X 22 X 21]

= [3 X 5 X 17]/[23 X 11 X 7]

= 240/1771

= 0.136

b)

The probability that all three bulbs are of the same type will have three cases. Hence they can be selected in

⁸C₃ + ⁹C₃ + ⁶C₃ ways

Hence the probability will be

[⁸C₃ + ⁹C₃ + ⁶C₃]/²³C₃

= [(8 X 7 X 6) + (9 X 8 X 7) + (6 X 5 X 4)](3 X 2)/[23 X 22 X 21]

=  [(8 X 7 X 6) + (9 X 8 X 7) + (6 X 5 X 4)]/[23 X 11 X 7]

= [336 + 504 + 120]/1771

= 960/1771

= 0.542

c)

The probability to select one bulb of each type will be

[8 X 9 X 6]/²³C₃

= [8 X 9 X 6]/[23 X 11 X 7]

= 432/1771

= 0.244

d) Now if at least 6 bulbs need to be examined, hence

the probability will be 1 - probability that we need to check (1, 2, 3, 4, 5)

= 1 - (¹⁷C₀/23 + ¹⁷C₁/²³C₂ + ¹⁷C₂/²³C₃ + ¹⁷C₃/²³C₄ + ¹⁷C₄/²³C₅)

= 1 - (1/23 + 17/253 + 136/1771 + 136/1771 + 340/4807)

= 0.66

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Complete Question

A box in a supply room contains 23 compact fluorescent lightbulbs, of which 8 are rated 13-watt, 9 are rated 18-watt, and 6 are rated 23-watt. suppose that three of these bulbs are randomly selected. (round your answers to three decimal places.)

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?

(b) What is the probability that all three of the bulbs have the same rating?

(c) What is the probability that one bulb of each type is selected?

(d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?

Answer:

area = 30

Step-by-step explanation:

You would want to use the formula for a right triangle to find the area.

Right triangle formula = a * b/ 2 will give you the area.

So, 5*12 = 60, 60/2 = 30.

Answer:

angle 8 and 4

Step-by-step explanation:

it is shown by the picture I had just provided you

Answer:

A

Explination:

Hope this helps ^-^

Answer:

a)P ( A∩S) =  0.116

b) P (x= 5) =0.272

c)  P (at most 5) = 0.950647

Step-by-step explanation:

Let A be an event that the  maize (modern-day corn) ears carry single spikelets and B be an event that the  maize carry paired spikelets.

Then P (B) = 60% = 0.6

P (A) = 1-P (b) = 0.4

Let S be the event that seed with single spikelets will produce an ear with single spikelets and Q be the event that seed with  paired spikelets will produce an ear with single spikelets .

Then

P (S) = 29% = 0.29

P (Q ) = 26% = 0.26

n= 10

We want to find out that exactly 5 single spikelets  seeds produce single spikelets .

P ( A∩S) = P(A) *P(S) = 0.4 * 0.29= 0.116

Now we have to find that exactly five of the ears produced by these seeds have single spikelets.

b) P (x= 5) =  P(A) *P(S)+  P(B) *P(R)

= 0.4 * 0.29 + 0.6 * 0.26

= 0.116+ 0.156= 0.272

At most five ears have single spikelets.This follows a binomial distribution where n is fixed and also p and q are same.

P ( x= at most 5) = 10C5 ( 0.116)^ 5(0.884)^5 +10C4 ( 0.116)^ 4(0.884)^6+10C3 ( 0.116)^ 3(0.884)^7+10C2 ( 0.116)^ 2(0.884)^8 +10C9 ( 0.116)^ 1(0.884)^9+10C10 ( 0.116)^ 0(0.884)^10    

=0.002857+0.018145+ 0.0000234+0.2558+ 0.3824+ 0.29144

= 0.950647

Answer:

15

Step-by-step explanation:

Complementary angles add to 90 degrees

8x+27 + 6x-21 = 90

Combine like terms

14x+6 = 90

Subtract 6 from each side

14x+6-6 = 90-6

14x = 84

Divide by 14

14x/14 = 84/14

x=6

We want angle B

B = 6x-21 = 6*6-21 =36-21 = 15

The translations that map to the four tiles are 1 to 2: (x,y) → (x + 2, y), 1 to 4: (x,y) → (x, y + 2), 1 to 6: (x,y) → (x + 4, y + 2) and 1 to 8: (x,y) → (x + 2, y + 4)

From the question, we have the following parameters that can be used in our computation:

The graph

From 1 to 2, we can see that the figure is shifted to the right by 2 units

This is represented as

1 to 2: (x,y) → (x + 2, y)

From 1 to 4, we can see that the figure is shifted up by 2 units

This is represented as

1 to 4: (x,y) → (x, y + 2)

From 1 to 6, we can see that the figure is shifted up by 2 units and shifted right by 4

This is represented as

1 to 6: (x,y) → (x + 4, y + 2)

From 1 to 8, we can see that the figure is shifted up by 4 units and shifted right by 2

This is represented as

1 to 8: (x,y) → (x + 2, y + 4)

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The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

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The range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

The range of function g depends on the range of the function f.

Let's start by assuming that we know the range of f.

If the range of f is Rf, then the range of -2f is the set {-2y | y ∈ Rf}, which is just the set of all numbers that can be obtained by multiplying an element of Rf by -2.

Finally, we add 1 to each of these values to get the range of g. Therefore, the range of g is:

Rg = {1 - 2y | y ∈ Rf}

In other words, the range of g is obtained by taking the range of f, multiplying each element by -2, and adding 1 to each result.

If we don't know the range of f, we can still say something about the range of g. Specifically, we know that g(x) can never be greater than 1 (since the largest value that -2f(x) can take is 0, and adding 1 to 0 gives us 1), and g(x) can never be less than 1 - 2M, where M is the largest possible value that f(x) can take on. In other words, the range of g is bounded between 1 - 2M and 1, but it may not include all values in that interval, depending on the range of f.

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Answer:

33km

Step-by-step explanation:

Let the distance traveled by bus be x, then distance traveled by train would be 2x

Therefore,

5 + x + 2x = 104

5 + 3x = 104

3x = 104 - 5

3x = 99

x = 33

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer: x = 8

BC = 13

AB = 13

AD = 10

Step-by-step explanation:

The figure shows that AB = BC so:

x+5 = 2x-3

2x-x = 5+3

x = 8

Hence we have:

BC = 2(8)-3 = 13

AB = 8+5 = 13

AD = 8+2 = 10

Given

Find

Amplitude and period of the function and graph it.

Explanation

the amplitude of the function is the largest value that the given function may attain. the amplitude of the given function is 1/2.

to find the period of the function , divide 2pi by the coefficient of theta

here , the coefficient of theta is 4 .

so , the period =

given function has an amplitude of 1/2 and period of pi/2.

now , we graph the function.

the graph completed one period in the interval

that an effect of shrinking the graph horizontally,

Final Answer

The graph will be made as shown

According to the concept of polynomial division, the equivalent expression is option (a). x+7 + 26/(x-3)

Polynomial division

Polynomial division refers the process of dividing one polynomial with another.

Given,

Here we have the expression (x² + 4x + 5) / x - 3.

Now, we have to find the equivalent polynomial expression when x - 3 is not equal to 3.

In order to find the equivalent expression, we have to do the following steps:

1. Divide the first term of the dividend by the first term of the divisor

2. Write down the calculated result x in the upper part of the table.

3. Multiply it by the divisor

4. Subtract this result from the dividend

Repeat this 4 steps until no further division.

This process is illustrated below.

According to this process, the equivalent fraction for the given fraction is

x + 7 + 26/(x - 3)

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