Find the EXACT solutions (not the decimal values). 5(x-4)^2=60
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Answer:

Tens unit:4 and 40

Step-by-step explanation:

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: X=4 and Y=3

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

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

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:

(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:

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

Answer:

1: 50

2: 2.5

3: 5

1: multiply 10 by 100 and then divide the total by 5

as follows:

(10 x 100) / 5multiply 10 by 100 and then divide the total by 5 as follows:

(10 x 100) ÷5

equals 200

2: 90 is 250% of 36

3: 4: 20*100 =

(4*100): 20 =

400: 20 = 20

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

Answer: 18

Step-by-step explanation:

x/4.5= 60/15

15x=270

X = 18cm

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:

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

Step-by-step explanation:

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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-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:

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:

250 pages

Step-by-step explanation:

Write an expression for the cost of x pages for each of the companies. Then set the expressions equal, and solve for x, the number of pages.

Quick Copy: 5 + 0.06x

Copy Place: 10 + 0.04x

5 + 0.06x = 10 + 0.04x

0.02x = 5

x = 5/0.02

x = 250

Answer: 250 pages

Check

Quick Copy: 5 + 0.06(250) = 5 + 15 = 20

Copy Place: 10 + 0.04(250) = 10 + 10 = 20

For 250 copies, both places cost $20. 250 copies is the correct answer.

Answer:

3xy.

Step-by-step explanation:

HCF of 6 and 9 = 3.

HCF of x and x^2 = x.

HCF of y^3 and y = y.

So that would be 3xy.

Answer:

The answer is D.

Step-by-step explanation:

hope this helps

Answer:

21/2 or 10 1/2

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:

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:

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:

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:

if it is addition here 109369 or subtraction here 1090.04

Step-by-step explanation:

add or subtract