a gardener is designing a rectangular planter for a rose garden in front of the administration building on a university campus. the gardener has enough material to build a 300-foot fence to enclose the garden. he also has enough roses to fill a 5,200 square foot planter.

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

According to me , independent is the word which is associated with multiplication when computing probabilities . Because when the events are independent then we multiply the probabilities .

According to the multiplication rule of probability, the probability of occurrence of both the events A and B is equal to the product of the probability of B occurring and the conditional probability that event A occurring given that event B occurs.

The probability of the union of two events is equal to the sum of individual probabilities. The union of two set contains all the elements of previous sets. The union is denoted by ∪. The equation for the students earnings will be expressed as P(A∪B). The occurrence of event A changes the probability of B then the events are dependent. If the probability of two events happening together is zero then the events are mutually exclusive.

Therefore,

When we calculate probabilities involving one event AND another event occurring, we multiply their probabilities.

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Answer:

125x³ − 150x²y + 60xy² − 8y³

Step-by-step explanation:

(5x − 2y)³

₃C₀ (5x)³ (-2y)⁰ + ₃C₁ (5x)² (-2y)¹ + ₃C₂ (5x)¹ (-2y)² + ₃C₃ (5x)⁰ (-2y)³

(1) (125x³) (1) + (3) (25x²) (-2y) + (3) (5x) (4y²) + (1) (1) (-8y³)

125x³ − 150x²y + 60xy² − 8y³

Answer:

The anwer is A

Step-by-step explanation:

If it is a right angle triangle we use paythagoras theorem

a ×a + b× b= c × c

1. 15× 15( square of 15) + b× b(square of b) = 17 ×17 (square of 17)

;2. 225 + b×b(square of b ) = 289

3. b×b(square of b) = 289-225

4. b × b( square of b )= 64

\( \sqrt{b \times b} = \sqrt{64} \)

b = 8

I hope it is helpful

Answer:

\(2^{\frac{1}{27} }\)

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

\(2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }\)

→ Simplify

\(2^{\frac{1}{27} }\)

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Answer:a

Step-by-step explanation:slope=4  y-int=-9

Answer:

A: Slope is 4

    Y intercept (0,-9)

Step-by-step explanation:

slope intercept form is y=Mx+b

m= slope

b= y intercept

y=4x-9

here the m or slope is 4

And b or y intercept is -9

So a is the correct answer

Hopes this helps please mark brainliest

Answer:

4

Step-by-step explanation:

Answer: 6√6

Step-by-step explanation:

√216=

√(36*6)=6√6

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line

Answer:

C

Step-by-step explanation:

16,502

The U.S centers for disease control (CDC) uses Secondary Data if it is buying data from hospitals for its own analysis.

Data can be divided into 2 categories based on the source of collection.

When the data is collected firsthand by the research person or organization through sampling or other means for their own research purpose, it is known as Primary data. This is because it directly pertains to the purpose of the said event.

When the organization, however, does not collect data on its own but rather it uses data/ research of other organizations, it is known as secondary data.

Here, in this case, we find CDC saves time and effort by directly buying and utilizing the data collected by the hospitals for their own purpose, they use secondary data.

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\(\text{Hello! :)}\)

\(\large\boxed{(3x + 4)(x + 8)}\)

\(\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)\)

V2 = (6/0.1)×100 = 600 gallons, V1 = 100 gallons, Rin = 5 gallons/min, and Rout = 5 gallons/min. T = (V2 – V1)/(Rin – Rout) where T is the time, V2 is the final volume, V1 is the initial volume.

The amount of salt in a 100 gallon tank filled with a salt solution can be calculated using the equation: V = (M/C) × 100 where V is the volume of the salt solution, M is the mass of the salt, and C is the concentration of the salt. In this case, M is 10 lbs and C is 0.1 lbs/gal. Therefore, V is 100 gallons. When pure water is pumped in at a rate of 5 gallons per minute and pumped out at the same rate, the concentration of the salt will decrease as the volume of the salt solution decreases. To calculate how many minutes it will take the amount of salt to drop to 6 lbs, we can use the following equation: T = (V2 – V1)/(Rin – Rout) where T is the time, V2 is the final volume, V1 is the initial volume, Rin is the rate of inflow, and Rout is the rate of outflow. In this case, V2 = (6/0.1)×100 = 600 gallons, V1 = 100 gallons, Rin = 5 gallons/min, and Rout = 5 gallons/min

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Answer:

x=-3/4 y=15/4

Step-by-step explanation:

Answer:

I don't know sorry..........

Step-by-step explanation:

just put the ratios into a fraction if x:y then x/y

A.)6/1=6

B.)12/2=6

C.)4/24=1/6

D.)48/8=6

E.)18/3=6

F.)1/6

24/4=6 so A, B, D, and E are equivilant to the ratio 24/4

Hope that helps :)

Answer:

6:1 ,12:2, 48:8

Step-by-step explanation:

24:4

24 ÷ 4 =6 and 4÷4 =1

6:1

24:4

24÷2 =12 , 4÷2=2,

12:2

48:8

24×2=48, 4×2=8

48:8

Answer:

1.0769

Step-by-step explanation:

multiply 4x2 to get 8

move -52x over the equal sign to make it 52x

so we get something like this: 8 + 169 = 121 + 52x

also move 121 over the equal sign to make it -121

Like this: 8 + 169 - 121 = 52x

Now when you simply, you will get 56 = 52x

Divide both sides by 52

Final answer is 1.0769

The ramp will look like shown below:

We can solve for x using the tangent trigonometric ratio given to be:

From the image, we have:

Therefore, we can solve as follows:

OPTION B is the correct answer.

The number 1.1 * 10⁴ in standard form is 11000

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

Number = 1.1\times 10^{4}1.1×104

Rewrite the given number properly

So, we have the following representation

Number = 1.1 * 10⁴

Solving further, we need to apply the law of indices to expand the exponents

Using the above as a guide, we have the following:

Number = 1.1 * 10 * 10 * 10 * 10

Evaluate the product of the 10's

So, we have the following representation

Number = 1.1 * 10000

Evaluate the products of the 1.1 and 10's

So, we have the following representation

Number = 11000

Hence, the number is 11000

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Answer:0,10

Step-by-step explanation: When translating you either add or subtract. If the problem says go down or to the left, you know that you will be subtracting, and if it says go up or to the right you will be adding. So up would add 4 to the x value which gives you 0 and you add 2 to the y value you get 10.

Answer:

(0, 10)

Step-by-step explanation:

-4 + 4 = 0

8 + 2

To verify, you can find the coordinates (0, 10) on a graph.

Answer:

The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.

Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.

Step-by-step explanation:

First let's find the area:

5x² × 12x

= 60x³

Now the perimeter:

2(5x² + 12x)

= 10x² + 24x

Answer:

about 10 times

Step-by-step explanation:

60 times 1/6 (probability ) = 60/6 or 10

Answer:

I used the discriminant which is √-4ac

Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.

Step-by-step explanation:

Answer:

3b÷c1−a

=3×9÷1×1-4

=27÷1-4

=27-4

=23

it will take her 34 mins coz I said so innit

Answer:

B

Step-by-step explanation:

I don't remember but I just know how to do it

Lines f and g look to be parallel to each other.

Answer:

Lines G and F

Step-by-step explanation:

Parallel means never touching, and they usually run alongside eachother, that's why G and F look parallel.

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The correct notations that describe an angle with a vertex at A are A) ABC and C) BAC.

An angle with a vertex at A can be represented by the following notations:

A) ABC - This notation represents an angle with the vertex at A and the rays AB and AC forming the sides of the angle.

B) CAB - This notation is not valid for representing an angle with the vertex at A. It suggests that the vertex is at C, not A.

C) BAC - This notation represents an angle with the vertex at A and the rays BA and BC forming the sides of the angle.

D) ACB - This notation is not valid for representing an angle with the vertex at A. It suggests that the vertex is at C, not A.

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