John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?

Answer: it is red

Step-by-step explanation:

With an increase in temperature, the particles move faster as they gain kinetic energy

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

Answer:

1.- CI = 94% (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.- CI = 98 % ( μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %  (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Step-by-step explanation:

Sample size      n  = 3000000

Sample mean   x  =  200

Standard deviation   s  =  30

From  z-table values of z(c):

CI  94 %        Confidencial level   α = 6 %   α = 0,06   z(c) = 1,55

CI  98 %        Confidencial level   α = 2 %   α = 0,02   z(c) = 2,05

CI  96 %        Confidencial level   α = 4 %   α = 0,04   z(c) =  1,75

MOE = z(c) * σ/√n

1.-MOE =  1,55* 30 / √2000    MOE = 1,04

2.-MOE = 2,05*30/√2000      MOE = 1,38

3.-MOE = 1,75*30/√2000        MOE = 1,17

Then CI

1.-  CI = 94 %     (  μ₀ -  MOE <  x  <   μ₀ -  MOE )

     CI  =  (  μ₀ -  1,04   <  x   <   μ₀ +  1,04 )

2.-CI = 98 %

     CI  = (    μ₀ - 2,05  <  x   <   μ₀ + 2,05 )

3.- CI = 96 %

     CI = (  μ₀ - 1,75  <  x   <   μ₀  + 1,75 )

Using the t-distribution, it is found that:

We are given the standard deviation for the sample, which is why the t-distribution is used to solve this question.

The information given is:

The interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

Considering a 94% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 1.8916, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 1.8916\frac{30}{\sqrt{2000}} = 198.73[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 1.8916\frac{30}{\sqrt{2000}} = 201.27[/tex]

The 94% confidence interval is (198.73, 201.27).

Considering a 96% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.0673, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.0673\frac{30}{\sqrt{2000}} = 198.61[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.0673\frac{30}{\sqrt{2000}} = 201.39[/tex]

The 96% confidence interval is (198.61, 201.39).

Considering a 98% confidence level, using a calculator, with 200 - 1 = 199 df, the critical value is t = 2.3452, hence:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 200 - 2.3452\frac{30}{\sqrt{2000}} = 198.43[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 200 + 2.3452\frac{30}{\sqrt{2000}} = 201.57[/tex]

The 98% confidence interval is (198.43, 201.57).

You can learn more about the use of the t-distribution to build a confidence interval at https://brainly.com/question/16162795

Step-by-step explanation:

7 [tex]\frac{1}{2}[/tex] ÷ 2

A. 2 × ? = 7[tex]\frac{1}{2}[/tex]

   Divide 2 on both sides to bring all the constants on one side...

   ? = 7 1/2 ÷ 2

B. 7 1/2 x ? = 2

  Divide 7 1/2 on both sides to isolate the ?

  ? = 2 ÷ 7 1/2

C. 2 x 7 1/2

    You already know that the initial problem is asking for an answer that is half of 7 1/2 not twice 7 1/2

D. ? x 7 1/2 = 2

   Divide 7 1/2 on both sides

    ? = 2÷ 7 1/2

E. It's basically the same thing as A

Whatever is bolded is the answer

I hope this made sense and I hope this helps!!!

9514 1404 393

Answer:

  C

Step-by-step explanation:

Corresponding angles are listed in the same order in the mapping statement.

C' is the third vertex named in A'B'C'D'. It corresponds to the third vertex named in ABCD, which is C.

  angle C' corresponds to angle C

Answer:

[tex]Probability = \frac{1}{792}[/tex]

Step-by-step explanation:

Given

[tex]Questions = 12[/tex]

[tex]Selection = 5[/tex]

Required

Probability of grading the selected 5 by Andrew

First, we need to determine the total number of selections.

This is calculated as: [tex]^{12}C_{5}[/tex]

Solving further:

[tex]^{12}C_{5} = \frac{12!}{(12-5)!5!}[/tex]

[tex]^{12}C_{5} = \frac{12!}{7!5!}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]

[tex]^{12}C_{5} = \frac{95040}{120}[/tex]

[tex]^{12}C_{5} =792[/tex]

There is only 1 for Andrew's question selection.

So, the required probability is:

[tex]Probability = \frac{1}{792}[/tex]

Answer:

Polly has 10 yo-yos.

Step-by-step explanation:

Since Eureka has 20 yo-yos, and has twice as many yo-yos as Polly, to determine the number of yo-yos that Polly has it is necessary to perform the following equation:

Polly's Yo-yos = X

Eureka's Yo-yos = 2X

20 = 2X

20/2 = X

10 = X

Therefore, Polly has 10 Yo-yos, half the number Eureka has.

Answer:

10

Step-by-step explanation:

Answer:

a certain number that i do not know

Step-by-step explanation:

a certain number that i do not know

Answer:

100 cm²

Step-by-step explanation:

In a square

length of the sides (L) = 10 cm

Area of square (A) = L² = ( 10 ) ² = 100 cm²

Answer:

100cm^2

Step-by-step explanation:

10×10 is 100

so it's 100cm squared

Answer:

4!

Step-by-step explanation:

40 x 4 = 160

160+ 140 = 300

Answer:

4 dresses

Step-by-step explanation:

If she starts with $300 and ends up with $140, that means that she spent $160. So, since each dress costs $40, you divided $160 by $40, which equals 4. So Michelle bought 4 dresses.

(hope this helps!)

Answer:

first one is 3/12 and second one is8/ 12

Step-by-step explanation:

Tr+1 = nCr * a^(n-r) * b^r.

Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.

=> 1, 6, 15, 20, 15, 6, 1.

You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.

Correct.

9/5c+32

substitute c to 5

multiply 9/5 to 5

then add 32

Done

Answer:

6 hours

Step-by-step explanation:

she played game 25% of the time.

25% of 30 hours is 7.5 hours

she researched 5% of the time.

5% of 30 hours is 1.5 hours

so she played game 7.5-1.5=6 more hours than she researched

Answer:

x = 20/9

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 3.

and you should get this :P

Answer: X=20/9

beacause x eqauls to 4/3 times 53/3

Answer:

B would be the answer.

Step-by-step explanation:

Use what they said. All angles in a triangle would sum to 180 degrees.

So based on that, 107 + 33 + <x = 180

140 + <x = 180

<x would then be 40 degrees

Answer:

y = 4

Step-by-step explanation:

distribute

10 + 2y = 18

minus 10 from both sides

2y = 8

divide by 2

y = 4

Answer: y=4

Step-by-step explanation:

2(5+y)=18

youre going to start by distributing the 2 to (5+y)

10+2y=18

then subract 10 from 18

2y=8

and then divide 2 on both sides

y=4

Answer:

Ima just steal the points

Step-by-step explanation:

Answer:

X=48

Step-by-step explanation:

Answer:

3x-x+2=4

Step-by-step explanation:

Children = x

Adults = y

x + y = 754...1

1.50x + 2.25y = 1422...2

Multiply (1) by 2.25

2.25x + 2.25y = 1696.50...3

1.50x + 2.25y = 1422...2

Subtract (2) from (3)

0.75x = 274.50

x = 366

Substitute x = 366 in (1)

x + y = 754

366 + y = 754

y = 388

366 children and 388 adults swam at the pool.

Answer:

6. Bacteria tend to grow very fast in a petri dish at first because of unlimited food and then begin to die out due

to competition. In a certain culture, the number of bacteria is givenby N(f) =1f +92t+.625' where /

represents the hours since 625 bac,teriawere introduced to the Petri dish. Determine the *={TlgX9"t

of bacteria that occur in the dish.

Step-by-step explanation:

t= -92/-2(2) =23

N (23) power 2 +92(23) + 625 =1628

my hands are paining by typing

please make me as brainleist

Answer:

143

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i think so

Answer:

Step-by-step explanation:

6758

Must round 6757.62 to nearest whole

Answer:

x squared over 4 plus y squared over 8 equals 1

Step-by-step explanation:

The general equation of ellipse is given as;

(x²/a²) + (y²/b²) = 1

The coordinates of a foci are: (±c, 0) where;

c² = b² - a²

However, we know that equation of directrix is; x = ±a/e

Now, Directrix is given ±4

Thus, a/e = 4

a = 4e

We also know that c = ae from ellipse foci coordinates.

Thus, ae = 2

since ae = 2, then (4e)e = 2

4e² = 2

e² = 2/4

e = 1/2

Thus;

a = 4 × 1/2

a = 2

Since c² = b² - a²;

2² = b² - 2²

4 = b² - 4

b² = 8

From (x²/a²) + (y²/b²) = 1, we can put our values to get;

x²/4 + y²/8 = 1

Answer:

NO

Step-by-step explanation:

The answer is no because the first column is 1 times 1 which is 1. The second column is 2 times 1 which is not 4. So this table is not proportional.

Please mark brainlliest if you want.

Answer:

12/ x^2+7x

Step-by-step explanation: Took the test and got it right

The product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

The polynomial can be represented as:

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have polynomial:

[tex]\rm = \frac{3}{x+7}\times \frac{4}{x}[/tex]

[tex]=\rm \frac{3\times4}{x(x+7)}[/tex]

[tex]\rm = \frac{12}{x^2+7x}[/tex]

Thus, the product of the expression 3/(x+7) and 4/x is equivalent to the expression 12/(x^2+7x) option 12/(x^2+7x) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

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