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nikitadnepr [17]
3 years ago
7

Which expression is equivalent to (5 ^-2) (5^-1)?

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:1/125

Step-by-step explanation:

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Vector B has x, y, and z components of 3, 7.2,
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Answer:

\approx 9.0\:\mathrm{units}

Step-by-step explanation:

The magnitude of 3D vector \vec{v} can be given by the following:

| \overline{v}| =\sqrt{{v_x}^2+{v_y}^2+{v_z}^2}

Plugging in given values, we have:

| \overline{v}|=\sqrt{3^2+7.2^2+4.5^2},\\| \overline{v}| \approx \fbox{$9.0\:\mathrm{units}$}.

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3 years ago
Use three of the numbers 3,4,5,12, or 15 to complete the number sentence. Do not use any number more than once. ( _____ - _____
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Answer:3


Step-by-step explanation:

15-3=12÷4=3

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4 years ago
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answer is not there answer is 64in^2

Step-by-step explanation:

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3 years ago
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What is?Two consecutive odd integers have a sum of -44. What are two odd integers?
9966 [12]
Let one odd integer = x

other odd integer = x +2

Sum = x + x+2 = -44

=> 2x + 2 = -44

=> 2x = -44 -2 = -46

=> x = -46/2 = -23

x+2 = -23 + 2 = -21

Integers are -23 and -21
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4 years ago
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
3 years ago
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