The domain of y = sin x is the set of _______.

Answer: 18

Step-by-step explanation:

x/4.5= 60/15

15x=270

X = 18cm

Answer:

0.017

Step-by-step explanation:

The probability that exactly some number of DVDs are faulty is approximately 0.9884 or 98.84%.

To calculate the probability that exactly a certain number of DVDs are faulty, we need to use the binomial probability formula. The binomial probability formula is given by: [tex]P(X = k) = C(n, k) * p^k * q^{n-k}[/tex]

- P(X = k) is the probability of getting exactly k successes (in this case, exactly k faulty DVDs).

- C(n, k) is the number of combinations of n items taken k at a time, also known as the binomial coefficient. It is calculated as [tex]C(n, k) = n! / (k! * (n - k)!).[/tex]

- p is the probability of success (getting a faulty DVD from Watchflicks or Bluechest).

- q is the probability of failure (getting a non-faulty DVD), which is equal to 1 - p.

- n is the total number of trials (in this case, the total number of DVDs rented).

Let's calculate the probability that exactly "x" DVDs are faulty (where x can be 0, 1, 2, 3, or 4).

Probability of getting a faulty DVD from Watchflicks (p1) = 4%

= 0.04

Probability of getting a faulty DVD from Bluechest (p2) = 5%

= 0.05

Total number of DVDs rented from Watchflicks (n1) = 3

Total number of DVDs rented from Bluechest (n2) = 2

Total number of DVDs rented (n) = n1 + n2

= 3 + 2

= 5

Let's calculate the probabilities for each value of x:

1. Probability that exactly 0 DVDs are faulty (x = 0):

[tex]P(X = 0) = C(5, 0) * (0.04)^0 * (1 - 0.04)^5 \\= 1 * 1 * 0.961^5 \\\approx 0.8145[/tex]

2. Probability that exactly 1 DVD is faulty (x = 1):

[tex]P(X = 1) = C(5, 1) * (0.04)^1 * (1 - 0.04)^4 \\= 5 * 0.04 * 0.960^4 \\\approx 0.1641[/tex]

3. Probability that exactly 2 DVDs are faulty (x = 2):

[tex]P(X = 2) = C(5, 2) * (0.04)^2 * (1 - 0.04)^3 \\= 10 * 0.0016 * 0.941^3 \\\approx0.0084[/tex]

4. Probability that exactly 3 DVDs are faulty (x = 3):

[tex]P(X = 3) = C(5, 3) * (0.04)^3 * (1 - 0.04)^2 \\= 10 * 0.000064 * 0.922^2\\ \approx0.0014[/tex]

5. Probability that exactly 4 DVDs are faulty (x = 4):

[tex]P(X = 4) = C(5, 4) * (0.04)^4 * (1 - 0.04)^1 \\= 5 * 0.00000256 * 0.960 \\\approx 0.0000024[/tex]

Now, to find the probability that "exactly" (all DVDs being accounted for) a certain number of DVDs are faulty, we simply add up the individual probabilities: P(exactly 0 DVDs faulty) + P(exactly 1 DVD faulty) + P(exactly 2 DVDs faulty) + P(exactly 3 DVDs faulty) + P(exactly 4 DVDs faulty) ≈ 0.8145 + 0.1641 + 0.0084 + 0.0014 + 0.0000024

≈ 0.9884

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Answer:

The value is  [tex]\sigma_{\= x} = 1.789[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  20  

    The sample mean is [tex]\= x = 122.5[/tex]

    The standard deviation is  [tex]s = 8[/tex]

Generally the standard error of the mean is mathematically represented as

       [tex]\sigma_{\= x} = \frac{s}{\sqrt{n} }[/tex]

=>    [tex]\sigma_{\= x} = \frac{8}{\sqrt{20 } }[/tex]

=>    [tex]\sigma_{\= x} = 1.789[/tex]

Answer:

The answer is D.

Step-by-step explanation:

hope this helps

Answer:

7/25

Step-by-step explanation:

Of means multiply in math (most of the time).

So multiply.

2/5 x 7/10 = 14/50 divided by 2/2 = 7/25

Answer:

x = 1

Step-by-step explanation:

h(x) = - 5x + 1,  h(x) = - 4

- 4 = - 5x + 1

- 5 = - 5x

x = 1

If we solve for the value of x in function h(x) = -5x + 1 where , h(x) = -4 , then it will be equal to 1.

What is a function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

It is given that the function h(x) is given by  :

h(x) = -5x + 1

We have to solve to get the value of x , if the value of h(x) is equal to -4.

So , let's solve the given function to get the value of x :

h(x) = -5x + 1

or

-4 = -5x + 1

reordering the like terms :

-5 = -5x

dividing by 5 on both sides :

-1 = -x

multiplying by -1 on both sides :

x = 1

Therefore , if we solve for the value of x in function h(x) = -5x + 1 where , h(x) = -4 , then it will be equal to 1.

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Answer:

(4). g(2) > f(2) False

Step-by-step explanation:

(1). (f(0) = 2) > (g(0) = - 4) (True)

(2). f( - 4) = 4( - 4 ) + 2 = - 14

g( - 4) = (5/2)(- 4) - 4 = = - 14

f( - 4) = g( - 4) (True)

(3). f(6) = 4(6) + 2 = 26

g(12) = (5/2)(12) - 4 = 26

f(6) = g(12) (True)

(4). g(2) = (5/2)(2) - 4 = 1

f(2) = 4(2) + 2 = 10

g(2) > f(2) (False)

Answer:

7.2 miles per hour

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because 10<20 so ten is less than or equals to 20

Answer: The objective of this problem is to have you use a calculator and enter the data in to separate lists: one containing the x-values, and the other the correspondent y-values (following the same order). Once the data is entered, you need to access the regression tool and request a quadratic form of regression. You should get and image and resulting function as shown in the attached image.

Answer:

1.65

Step-by-step explanation:

First you need to find the sun of 4.6 and 6.75, you should do this because it is asking for the two numbers combined. When you add these two numbers, you get 11.35

Now you need to subtract 13 and 11.35 because it wants to know how much father she ran on Saturday than friday, signaling subtraction. When you subtract 13-11.35 you should get 1.65

Answer:

I was trying to search it but couldn't find anything I am not tryin to steal points but ;-;

Answer:

Tens unit:4 and 40

Step-by-step explanation:

Answer:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

Step-by-step explanation:

f(x) -> 2 as x -> -∞ and f(x) -> ∞ as x -> ∞

*this is because the graph shows that the y value cannot pass by 2 as the x value constantly decreases and as x is increasing, there is just an arrow showing that the graph is constantly going up and therefore going to ∞

Answer: X=4 and Y=3

Step-by-step explanation:

-4^2 = -16

(-4)^2 = 16

Hope this helps!

Answer:

I'm pretty sire its c

Step-by-step explanation:

with parentheses u get a positive 16 but qithout you het negative 16

Answer:

35

Step-by-step explanation:

Answer:

20 lemons

Step-by-step explanation:

Let the number of lemons = 'x'

85% of x = 17

[tex]\frac{85}{100}*x = 17\\\\x = \frac{17*100}{85}\\x = 20[/tex]

Answer:

20 lemons

Step-by-step explanation:

Let the number of lemons = 'x'

85% of x = 17

please mark me the brainlyest

Answer:

It will be 66.67 but if we estimate to the nearest tenth It will be 66.7

The stock is currently worth $66.67.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the current value of the stock, we need to multiply its original price by the percentage increase:

Current value = Original price x (1 + Percentage increase)

Percentage increase.

= 13%

= 0.13 (since percentages are decimals)

Original price = $59

So,

The current value of the stock is:

Current value.

= $59 x (1 + 0.13)

= $59 x 1.13

= $66.67 (rounded to the nearest cent)

Therefore,

The stock is currently worth $66.67.

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Answer:

-12 + 2i

Step-by-step explanation:

[tex] \sqrt{ - 4} - \sqrt{144} \\ \\ = \sqrt{ - 1 \times 4} - \sqrt{144} \\ \\ = \sqrt{ - 1} \times \sqrt{4} - \sqrt{144} \\ \\ = i \times 2 - 12 \\ \\ = - 12 + 2i \\ \implies \: a + bi[/tex]

Answer:

$339.06

Step-by-step explanation:

He makes 2712.50 a month and spends 1/8 of that on his car.

2712.50*12.5%= $339.06 a month.

Answer:

Step-by-step explanation:

The formula for the area of a rectangle is  [tex]area=w*l[/tex] , where w is the width of the rectangle and l is the length of the rectangle.

The question tells us that the length is four times it width. This means that  [tex]l=4w[/tex] . Since we are given the length, 4w, and the area, 256, we can plug in these values into our formula for area of a rectangle and solve for the width:

[tex]256=w*4w[/tex]

[tex]w^2=\frac{256}{4}[/tex]

[tex]w=\sqrt{64} =8[/tex]

The width of the rectangle is 8 centimeters.

Now that we have the width of the rectangle, we can plug that value into our original equation again to solve for the width:

[tex]256 = 8 * l[/tex]

[tex]l=32[/tex]

The length of the rectangle is 32 centimeters.

Answer: its either A or C, but im p sure its C

1/2 Answer: 1/2

Step-by-step explanation:

Answer:

33 7/20

Step-by-step explanation:

First you multiply the number of students performing in the problem (25) to the fraction 3/4 as stated in the problem itself.

25 * 3/4 = 18 3/4

Then you use the answer from the previous step and add it by the expected amount of pound of clay (20)

18 3/4 + 20 = 38 3/4

As from the last step, we use that number and subtract it by the leftover clay (5 2/5)

38 3/4 - 5 2/5 = 33 7/20

Answer:

33 7/20

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Answer:

a

  [tex]\mu = 6[/tex]

b

  [tex]x= 3.2[/tex]

c

 [tex]P( X> 16 | X > 9 ) = 0.222[/tex]

Step-by-step explanation:

Considering question 1

From the question we are told that  

   The waiting times for the train are known to follow a uniform distribution

i.e  

                [tex]X  \~ \ \ \  Uniform(a =0  , b= 12)[/tex]

Generally the cumulative distribution function for uniform distribution is mathematically represented as

   [tex]F(x) = \left \{ {{0 \ \ \ \ \ \ \\ \ \ \ for x < a } \atop {\frac{x - a}{b-a} \ \ \ \ \ \ for  a \le x \ le b }} \atop { 1 \ \ \ \ \ \ \ \ \ \ \  for  x >  b}\right. [/tex]

Generally the average time is mathematically represented as

       [tex]\mu = \frac{a+ b}{2}[/tex]

=>    [tex]\mu = \frac{0+ 12}{2}[/tex]

=>    [tex]\mu = 6[/tex]

Considering question 2

     The waiting times for the train are known to follow a uniform distribution

i.e  

                [tex]X  \~ \ \ \  Uniform(a =0  , b= 16)[/tex]

Generally the 20th percentile of the waiting time is mathematically represented as

               [tex]f(x) = \frac{x- a }{b- a} = 0.2[/tex]

=>            [tex]f(x) = \frac{x- 0 }{16- 0} = 0.2[/tex]

=>           [tex]x= 3.2[/tex]

Considering question 3

        The waiting times for the train are known to follow a uniform distribution

i.e  

                [tex]X  \~ \ \ \  Uniform(a =0  , b= 18)[/tex]  

Generally the probability of waiting more than 16 minutes given a person has waited more than 9 minutes

       [tex]P( X> 16 | X > 9 ) = \frac{P( X > 16 \ \ n \ \ X > 9 )}{P( X > 9 )}[/tex]

=>     [tex]P( X> 16 | X > 9 ) = \frac{ P(X > 16 )}{P( X > 9 )}[/tex]

=>       [tex]P( X> 16 | X > 9 ) = \frac{\frac{18 - 16}{18} }{\frac{18 - 9}{9 } }[/tex]

=>       [tex]P( X> 16 | X > 9 ) = 0.222[/tex]

The probability shows that the average waiting time is 6 minutes.

The average time will be calculated thus:

= (a + b)/2

= (0 + 12)/2

= 12/2

= 6 minutes

The 20th percentile for the waiting times will be calculated thus:

f(x) = (x - 0)/(16 - 0) = 0.2

x = 0.2 × 16

x = 3.2

Therefore, the 20th percentile for the waiting times is 3.2 minutes.

The probability of waiting more than 16 minutes given a person has waited more than 9 minutes will be calculated thus:

= [(18 - 16)/18] / [(18 - 9)/9]

= 0.222

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Answer:

8 (4 x + 1)

and

32 x + 8

Step-by-step explanation:

Answer:

first remove the parrenteses

so from this 4x- (3x+2)= 7x-2

to this 4x- 3x+2= 7x-2

then change the + to a -

so 4x- 3x- 2= 7x-2

then cancel equal terms on both sides of the equation so

4x- 3x= 7x

then collect like terms x =7x

then move the variable to the left hand side and change the sign

x- 7x = 0

next collect like terms

-6x =0

then divide both sides of the eqution by -6

so the awnse is x=0

Step-by-step explanation:

Answer: The answer is 9 flowers. Hope this helps!

Step-by-step explanation:

Answer:

A. (1,7)

Step-by-step explanation:

The format when pairing coordinates and coordinate plane is

(X,Y) a.k.a. (horizontal,vertical) That is where the other two lines intersect