For the function f(x)=−7x2+8x−8, find f(4).

Using the binomial distribution, it is found that there is a:

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we have that:

The probability that exactly 2 out of 8 randomly selected ­Americans own a cat is P(X = 2), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

0.2965 = 29.65% probability that exactly 2 out of 8 randomly selected ­Americans own a cat.

The probability that more than 3 own a cat is given by:

[tex]P(X > 3) = 1 - P(X \leq 2)[/tex]

In which:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.3)^{0}.(0.7)^{8} = 0.0576[/tex]

[tex]P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977[/tex]

[tex]P(X = 2) = C_{8,2}.(0.3)^{2}.(0.7)^{6} = 0.2965[/tex]

Then:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0576 + 0.1977 + 0.2965 = 0.5518[/tex]

[tex]P(X > 3) = 1 - P(X \leq 2) = 1 - 0.5518 = 0.4482[/tex]

0.4482 = 44.82% probability that more than 3 own a cat.

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The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

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Apply Pythagorean theorem

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Using Pythagorean Theorem (applicable for only right triangles)

Hope it helped~

Answer:

196 square feet

Step-by-step explanation:

(learn it before u submit. im here to help not cheat;w;
-ur fellow classmate)

S=ph+2b
s=(p=l+l+w+w) (h)+ (2) (b=lxw)
s=(8+8+10+10) (1) + (2) (8x10)
s=( 36x1 )+ (2x80)
s= 36+160
s=196

God bless ya:)

The area of this prism is 196 square feet.

The prism's area can be calculated by adding its lateral area to the base areas. The process of calculating these areas ends up being facilitated because the two bases of a prism are the same, therefore, it is enough to calculate the area of ​​a base and multiply the result by 2

The formula for the area of ​​the prism is given by:

[tex]S=ph+2b[/tex]

Where:

So we have that:

[tex]s=(p=l+l+w+w) (h)+ (2) (b=lxw)\\s=(8+8+10+10) (1) + (2) (8*10)\\s=( 36*1 )+ (2*80)\\s= 36+160\\s=196[/tex]

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Step-by-step explanation:

3)

25% of 15.99=0.25×15.99=3.9975

Nope you will save about 4 dollars.

4)

12$ is 100% of its price

If there is a 25% discount, it will cost 75% of its original value.

75% of 12=0.75×12=9

It will cost 9 dollars

5)

You have 40% left of 150

so, 0.4(150)=60

You ANSWERED 90 but you still have 60 remaining.

6)

60% of 1350 lived since 40% died

0.6×1350=810

about 810 lived

7)

40% of the angelfish died

0.4×230=92

92 angelfish died

8)

The collected 125% of what they expected

1.25×1200=1500

They collected 1500 cans

Answer:

The answer to this question is 0.6

Step-by-step explanation:

Answer:

30 feet

Step-by-step explanation:

Area of a triangle = bh/2

A = bh/2

240 = b(16)/2

480 = (16)b

30 = b

Base = 30 feet

I hope this helps!

Answer:

30 ft

Step-by-step explanation:

Formula to find the area of a triangle is :

Area = [tex]\frac{1}{2}[/tex] × base × height

Given that,

Area of the triangle = 240 ft²

Height = 16 ft

Base = ??

Let us find now.

Area = [tex]\frac{1}{2}[/tex] × base × height

240  =  = [tex]\frac{1}{2}[/tex] × b × 16

240 × 2 = 16b

480 = 16b

Divide both sides by 16.

30 ft ⇒ base

Answer:

134

Step-by-step explanation:

Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.

So Marcus has 127 + 7 = 134 cards

Answer:

  (32×15)/(17 -9)

Step-by-step explanation:

The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.

__

Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).

Then the desired numerical expression is ...

  [tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]

______

Additional comment

The result of evaluating this expression is ...

  (32×15)/(17 -9) = 480/8 = 60

__

For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".

In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).

Answer:

He bought 7 erasers take 10 dollars and keep adding 2

Answer:

y=x-5

Step-by-step explanation:

try that my good sir

Answer:

Below in bold.

Step-by-step explanation:

g(x) = x^2 – 8x + 12

Convert to vertex form:

g(x) = (x - 4)^2 - 16 + 12

g(x) = (x - 4)^2 - 4.

So the vertex is at (4, -4).

y-intercept (when x = 0) is ((0-4)^2 - 4 = 16 - 4

- that is (0, 12).

Zeros:

(x - 4)^2 - 4 = 0

(x - 4)^2 = 4

x - 4 = +/- 2

x = 2 + 4 = 6 or x = -2 + 4 = 2.

= 2, 6.

Answer:

Certain

Step-by-step explanation:

If she buys all of them, no one else has a chance because there is no other tickets

mTQR = 87°

HOPE IT HELPS...!!!

Answer:

[tex] \sf m \angle TQR = 87 \degree[/tex]

Step-by-step explanation:

Given:

∆QRT, ∆RSQ and ∆ QST are scalene traingle.

[tex]m \angle QRS = 37 \degree \\ m \angle TQS = 34 \degree \\ m \angle QST = 90 \degree[/tex]

To find:

[tex]m \angle TQR = ?[/tex]

Solution:

In ∆ QTS,

[tex] \sf \: m \angle TQS + m \angle QTS +m \angle QST = 180 \degree \: \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 34 + m \angle QTS +90 = 180 \degree \: \\ \sf m \angle QTS = 180 - 90 - 34 \\ \sf \: m \angle QTS = 180 - 124 \\ \sf \: m \angle QTS = 56 \degree[/tex]

Now in ∆QTR,

[tex] \sf \: m \angle QTR + m \angle TQR + m \angle TRQ \: = 180 \degree \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 56 + m \angle TQR + 37 \: = 180 \degree \\ \sf m \angle TQR = 180 - 56 - 37 \\ \sf m \angle TQR = 87 \degree[/tex]

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Answer:

From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."

Step-by-step explanation

Im sorry if none of these answers are correct.

Answer:

1

Step-by-step explanation:

when x is 1 g(1) is 0

so

(f(g(1)) is f(0)

f(0) is 3√0 + 1 which is

1

sorry it looks like its not one of the answer choices

https://brainly.com/question/19425686

The composition of functions f ( g ( 1 ) ) = 1

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 3√x + 1

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( 1 ) = 0

g ( 2 ) = 1

g ( 3 ) = 4

g ( 4 ) = 9

Now , the composition of function is given by f ( g ( 1 )

The value of g ( 1 ) = 0

And , f ( x ) = 3√x + 1

when x = 0

So , the value of f ( 0 ) = 3√0 + 1

The function is f ( 0 ) = 1

Hence , the value of the function f ( g ( 1 ) = 1

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#SPJ7

Answer:

[tex]\sf (x+9)^2+(y-5)^2=16[/tex]

Step-by-step explanation:

Standard equation of a circle:  [tex]\sf (x-h)^2+(y-k)^2=r^2[/tex]

(where (h, k) is the center of the circle and r is the radius)

Given:

Substituting given values into the equation:

[tex]\sf \implies (x-(-9))^2+(y-5)^2=4^2[/tex]

[tex]\sf \implies (x+9)^2+(y-5)^2=16[/tex]

Equation:-

Answer:

Step-by-step explanation:

4x² - 0x - 9 = 4x² - 9 = (2x)² - 3² = (2x - 3)(2x + 3)

used: (a - b)(a + b) = a² - b²

C = 2 x pi x r = pi x d

so

C = 3,14 x 26 = 81,64 mm

Answer:

Below in bold.

Step-by-step explanation:

y = -4x2 + 8x - 13

Divide first 2 terms by -4:-

y = -4(x^2 - 2x) - 13

Convert to vertex form by completing the square:

y = -4[(x - 1)^2 - 1] - 13

y = -4(x - 1)^2 + 4 - 13

y = -4(x - 1)^2 - 9     <---------- Vertex form

y =  a(x -  j)^2 + k       <---------- General form with vertex = (j, k).

So comparing, we see that the vertex is   (1, -9).

Answer:

90

Step-by-step explanation:

0.9 multiplied by 100 to turn it into a percentage is 90.

Answer:

it's "whats shaking"

Step-by-step explanation:

Answer:

k=8.

n=12

a=29

h=5

i=297

g=89

Step-by-step explanation:

after x^2-4x-5 do sum and product

The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.

It should be noted that diabetes simply means a condition when the blood glucose is too high.

In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.

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Answer:

A, C, and D

Step-by-step explanation:

Let's analyze each option:

A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).

B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).

C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).

D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.

E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).

I've attached an example graph to help you visualize all of these factors.

Answer:

DVD: $16

CD: $11

Step-by-step explanation:

These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:

3x+4y=92

2x+3y=65

When graphed, the solution is at (16,11).

Therefore, one DVD costs $16 and one CD costs $11.

The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.

From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.

The amount paid by the insurance company will be:

= $24000 + $1450

= $25450

When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.

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