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4 years ago

How many different arrangements can be made with the letters from the word topic?

Mathematics

2 answers:

Katarina [22]4 years ago

8 0

Pic, top, pit, pot, cot, cop. to, opt, tic, it,

Lilit [14]4 years ago

8 0

Answer: The total number of different arrangements is 120.

Step-by-step explanation: We are given to find the total number of different arrangements that can be made with the letters from the word "topic".

The total number of letters in the word "topic" = 5.

We know that

if there are n things, then the total number of different arrangements that can be made using "n" things is n!.

So, the total total number of different arrangements that can be made using 5 letters will be

5! = 5 × 4 × 3 × 2 × 1 = 120.

Thus, there will be 120 different arrangements.

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According to the manufacturer of a backup UPS device, the normal output voltage is 120 volts. The sample of 40 measured voltage

anyanavicka [17]

Answer:

z = 1.83<1.96

null hypothesis is accepted

The sample is came from a population mean

Step-by-step explanation:

Step :-1

The sample of 40 measured voltage amounts from a unit have a mean of 123.59 volts and a standard deviation of 0.31 volts

given sample size n =40

mean of the sample ×⁻ = 123.59 volts

standard deviation of sample σ = 0.31 volts

Step2:-

Null hypothesis :-

the sample is from a population with a mean equal to 120 volts.

H₀ : μ =120

Alternative hypothesis:-

H₁ : μ ≠120

level of significance:- α =0.05

Step 3:-

The test statistic

$z = \frac{x_{-}-mean }{\frac{S.D}{\sqrt{n} } }$

substitute values and simplification

$z = \frac{123.59-120}{\frac{0.31}{\sqrt{40} } }$

on simplification we get the calculated value

z = 1.83

The tabulated value z =1.96 at 0.05 % level of significance

Conclusion:-

Calculated Z < The tabulated value z =1.96 at 0.05 % level of significance

so the null hypothesis is accepted

The sample is came from a population mean

4 0

3 years ago

Use algebra to find the point at which the line f(x)=-5/3x+4/3 intersects the line h(x)=1/5x+4/3

Sedaia [141]

Answer:

The point x=0 y=4/3 I.e (0,4/3)

Step-by-step explanation:

To find interpoint we use this knowledge

For the same value of x, functions f(x) and g(x) have the same value. So we need to find x. We will find it ftom this equation:

f(x)=h(x) i.e.

-5/3x+4/3=1/5x+4/3

-5/3x-1/5x=4/3-4/3

-28/15x=0

So we can conclude that x=0

So f(0)=h(0)=4/3

6 0

3 years ago

X=25.36+0.45(25.36) LaTeX: x=

e-lub [12.9K]

Answer:

$x=36.772$

Step-by-step explanation:

Given : Expression $x=25.36+0.45(25.36)$

To find : Solve the expression ?

Solution :

Step 1 - Write the expression,

$x=1(25.36)+0.45(25.36)$

Step 2 - Apply distributive, $ab+ac=a(b+c)$

Here, a=25.36, b=1, c=0.45

$x=25.36(1+0.45)$

Step 3 - Solve the expression,

$x=25.36\times 1.45$

$x=36.772$

Therefore, $x=36.772$

7 0

4 years ago

How do you know that you a have a zero slope ( on a line)

Trava [24]

If the line is strait on the x-axis, but if it is strait up and down on the y-axis it is undefined.

7 0

3 years ago

Read 2 more answers

Find the equation of the line specified. The slope is 6, and it passes through ( -4, 4).

nlexa [21]

Answer:

y = 6x + 28

Step-by-step explanation:

m = 6 ; (-4,4)

y-y1 = m(x-x1)

y - 4 = 6(x- [-4])

y-4= 6(x+4)

y-4= 6x + 24

y = 6x + 24 + 4

y = 6x + 28

7 0

3 years ago