Simplify (−4.5)(−6)(5.4).
i need the answer pls

We want to find the probability of randomly drawing 3 spades from a standard deck.

The probability of getting 3 spades is 0.0129

Let's see how to get that probability.

A standard deck has 52 cards, 13 of them are spades.

The probability of randomly drawing a spade card is given by the quotient between the number of spades and the total number of cards.

So for the first spade card, the probability is:

p = 13/52

For the second card, take in mind that we already drew a spade card, so now there are 12 spade cards and 51 cards in total, so we have:

q = 12/51

For the final card, there will be 11 spade cards and 50 cards in total, but we will have:

k = 11/50

The joint probability (this is, the probability of getting the 3 spade cards one after the other) is equal to the product of the individual probabilities, so we will get:

P = p*k*q = (13/52)*(12/51)*(11/50) = 0.0129

The probability of getting 3 spades is 0.0129

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Answer:

8

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

5x+2=3x+4(2x-1)

5x+2=3x+8x-4

5x+2=11x-4

5x-11x=-4-2

-6x=-6

6x=6

x=1

Finite approximation method of estimating the area under the curve of the

given function makes use of rectangular approximation of the area.

The correct responses are;

i) The estimated area using a lower sum with two rectangles of equal width is 1,715 square units.

ii) The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) The estimated area using an upper sum with two rectangles of equal width is 8,575 square units.

iv) The estimated area using a upper sum with four rectangles of equal width is 6,431.25 square units.

Reasons:

The given function is f(x) = 5·x²

The given domain is x₀ to x₁₄

i) Estimate using lower sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(0) = 0

f(7) = 5 × 7² = 245

A = 0 × 7 + 245 × 7 = 1,715

The estimated area using a lower sum with two rectangles of equal width

is 1,715 square units.

ii) Estimate using lower sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(0) = 0

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

A = 0 × 3.5 + 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 = 3,001.25

The estimated area using a lower sum with four rectangles of equal width is 3,001.25 square units.

iii) Estimate using an upper sum with two rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{2} = 7 \ we \ get;[/tex]

f(7) = 5 × 7² = 245

f(14) = 5 × 14² = 980

A = 245 × 7 + 980 × 7 = 8575

The estimated area using an upper sum with two rectangles of equal width

is 8,575 square units.

iv) Estimate using an upper sum with four rectangles of equal width;

[tex]Let \ \Delta x = \dfrac{14}{4} = 3.5 \ we \ get;[/tex]

f(3.5) = 5 × 3.5² = 61.25

f(7) = 5 × 7² = 245

f(10.5) = 5 × 10.5² = 551.25

f(14) = 5 × 14² = 980

A = 61.25 × 3.5 + 245 × 3.5 + 551.25 × 3.5 + 980 × 3.5 = 6,431.25

The estimated area using a upper sum with four rectangles of equal width

is 6,431.25 square units.

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The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.

(a) 5 cm, 12 cm and 13 cm

The statement is represented as:

[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]

[tex]\mathbf{169= 144 + 25}[/tex]

[tex]\mathbf{169= 169}[/tex]

Hence, the statement is true for triangle (A)

(b) 4 cm, 5 cm and 7 cm

The statement is represented as:

[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]

[tex]\mathbf{49 = 25 + 16}[/tex]

[tex]\mathbf{49 = 41}[/tex]

Hence, the statement is not true for triangle (B)

(c) 3 cm, 4 cm and 5 cm

The statement is represented as:

[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]

[tex]\mathbf{25 = 16 + 9}[/tex]

[tex]\mathbf{25 = 25}[/tex]

Hence, the statement is true for triangle (C)

(d) 9 cm, 12 cm and 15 cm

The statement is represented as:

[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]

[tex]\mathbf{225 = 144 + 81}[/tex]

[tex]\mathbf{225 = 225}[/tex]

Hence, the statement is true for triangle (D)

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Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

Using the binomial probability relation :

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

Using a binomial probability calculator :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

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Answer:

jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc

Step-by-step explanation:

A=9pi-9/2radical 3

this is the answer

brainliest please

Step-by-step explanation:

No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Step-by-step explanation:

We are given that Lena can knit 14 square inches of a blanket in hours

So, No. of square inches of knit per hour = 14

No. of hours spent in  knitting 14 square inch = 1

No. of hours spent in knitting 1 square inch = \frac{1}{14}141

So,  No. of square inches of knit per hour is 14 and No. of hours spent in knitting 1 square inch is \frac{1}{14}141

Answer:

3)x=-9

4)x=-2

5)x=-4

6)x=-5

7)x=-12

8)x=-11

Step-by-step explanation:

Answer:5 Penny's everyday for thirdy days

Step-by-step explanation:

Answer:

it is called a linear pair.

mark brainliest pls

Answer:

lianer lines

Step-by-step explanation:

Answer:

[tex] - \frac{1}{3} [/tex]

Step-by-step explanation:

[tex] - 3.7 = - 5.4x - 5.5 \\ - 3.7 + 5.5 = - 5.4x \\ 1.8 = - 5.4x \\ \ - \frac{1.8}{5.4} = x = - \frac{1}{3} [/tex]

Answer:Domain:  ( 4 , ∞ ) , { x | x > 4 }

Answer:

Well perimeter is adding up all the sides since it's a rectangle the first one is just 6 + 6 + 4 + 4 = 20 cm

The second would be 9 + 9 + 12 + 12 = 42 cm if this is not an option or if it is wrong let me know and I will try again

Answer:

jjejejkwkwkqkkqkqkqkkqkqkq

Answer:

Add/multiply the exponents first.

Step-by-step explanation:

Answer:

I think it's x=5

Step-by-step explanation:

3x+15=2x+20

-2x. -2x

x+15=20

-15. -15

x=5

sorry if is not the answer

Answer:

I think that the speed is 65mph, because there is the largest number of people on the graph for 65mph.

Step-by-step explanation:

Answer:

7 means ones because it is the units

Step-by-step explanation:

4= thousand

5= hundred

6= tens

7=ones / unit

Answer: 2.03

Step-by-step explanation:

Answer:

I think it would be this

Step-by-step explanation:

3,032,644 dollars left over. I am very sorry if I am wrong.

-3/5  is greater than -4/5

Step-by-step explanation:

If they were just regular positive numbers then yes, it would be less than -4/5. However since they are negative for this I will switch them to decimals, . -.60 is more an -.80 because it is basically like a dept you owe.

Answer:

y+zx=a (see below for variables

Step-by-step explanation:

You haven't attached an image, so I'll I assume you want the equation

y is amount of water, x is time, z is water drained per minute, and a is the original amount o water

y=a-zx

rearranging it for the original amount of water

y+zx=a

Answer:

360 liters

Step-by-step explanation:

The time when the draining began is the same as 0 minutes since the beginning of the draining. So we need to look for the point on the graph where Time is 0, which is the y-intercept. The point we are looking for is (0,360), which means that at the beginning of the draining, there were 360 liters of water in the tub.

Answer:

k=2

Step-by-step explanation:

2x-8y+k/2=0

puting the values of x and y

2*2-8*1+k/2=0

4-8+k/2=0

-4+k/2=0

k/2=4

sing changes if side changed

k=4/2

k=2

We first substituted the X and Y in the equation, so 2 instead of X and 1 instead of Y.

Then I moved the K to make it the subject of the equation by algebra which gave me a -K, but I want k not negative k so I multiplied everything by -1 because, -1 × -1= +1 so K=2.

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope =  1/3

Substitute m = 1/3 and one given ordered pair  into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5

Answer:

Step-by-step explanation:

Given:

a. compounded semiannually, n = 2

b. compounded quarterly, n = 4

c. compounded monthly, n = 12

d. compounded continuously

Step-by-step explanation:

it is NOT a function, because one x value (13) has more than one associated result value (2 and 4). that violates the basic principle of a function.

anyway, the domain is the interval or set of the valid values for x, and the range the interval or set of the valid values for y.

the domain is {13, 18, 39, 51}

the range is {-5, 2, 4}

Answer:

brian drink 7 cups of milk

Step-by-step explanation:

I don't know if this is a question that deserves an answer but I say a 2 out of 5 .

Use Euler's formula for polyhedra: V - E + F = 2  

vertices - edges + faces = 2  

So edges = vertices + faces - 2 = 18 + 11 - 2 = 27.  

Answer:

27 edges.