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bazaltina [42]
3 years ago
13

You have six trophies to arrange on the top shelf of the bookcase how many ways are there to arrange the trophies

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

So, we can do it in 720 ways.

Step-by-step explanation:

We have been given total of six trophies to arrange in the top shelf of the bookcase  

If we need to arrange n things in different ways we can do it in n! ways

Similarly, Here we will do it in 6! ways

n!=n(n-1)(n-2).....1

So, 6!=6 x 5 x 4 x 3 x 2 x 1=720

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The table below shows the relationship between m and p, where the independent variable is p.
scoray [572]

Answer:

C

Step-by-step explanation:

P is an independent variable, therefore making M a dependent variable.

B and D are not it.

When plugging in P in choice A, M has a different answer than in the list.

A is not it.

When pluggin in P in choice C, M has the same answers as in the list.

C is the answer

5 0
2 years ago
Can someone please help?
kipiarov [429]
The second one. Hope this helps:)

6,025, 305< 6,026,305< 6,027,305.
3 0
2 years ago
Solve to indicated variable 16ak=-5 for a
damaskus [11]
The answer is
\frac{ - 5}{16k}  = a
steps
#1) Try to leave a by itself by dividing any variable next to it
\frac{16 ak  =  - 5 }{ 16k}
you can only divided these variables as all these variables in the original equation. are being multiplied. The opposite if multiplication is division.
3 0
3 years ago
There verticles of a rectangle are shown on the grid what are the coordinates of the missing vertex 3,5,6
Nadusha1986 [10]

Answer:

<h2><em><u>5</u></em><em><u>,</u></em><em><u>6</u></em></h2>

Step-by-step explanation:

<em><u>Since</u></em><em><u>,</u></em>

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

7 0
2 years ago
A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample
natka813 [3]

Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean.

s= sample standard deviation.

n= Sample size.

t_{\alpha/2} = critical value

By considering the given information , we have

\overline{x}=6

s=0.75

n= 9

Significance level = \alpha=0.1   [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

6\pm (1.86) \dfrac{0.75}{\sqrt{9}}

6\pm (1.86) \dfrac{0.75}{3}

6\pm (1.86) 0.25

6\pm 0.465=(6-0.465,\ 6+0.465)=(0.465,\ 5.535)

Hence, the required confidence interval  =(0.465, 5.535)

4 0
3 years ago
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