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Tema [17]
3 years ago
14

The dot product of u with itself is 12. What is the magnitude of u?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0
Dot product is 
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>
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What is the standard deviation of this data set? Use a calculator to help you.
ale4655 [162]

Answer:

Standard deviation = 14.064

Step-by-step explanation:

We are given the following data;

        X                          X - Xbar                  (X-Xbar)^{2}

       20                     20 - 46 = -26                    676

       23                     23 - 46 = - 23                    529

       32                     32 - 46 = -14                      196

       36                     36 - 46 = -10                      100

       41                      41 - 46 = -5                         25

       43                     43 - 46 = -3                          9

       44                     44 - 46 = -2                          4

       45                     45 - 46 = -1                           1

       47                      47 - 46 = 1                            1

       54                      54 - 46 = 8                        64

       55                      55 - 46 = 9                        81

      59                       59 - 46 = 13                      169

       61                       61 - 46 = 15                       225

       63                       63 - 46 = 17                      289

       66                       66 - 46 = 20                <u>     400    </u>    

                                                    \sum(X-Xbar)^{2} <u>= 2769 </u>

Firstly we will calculate Mean, Xbar = \frac{\sum X}{n}

  Xbar = \frac{20+ 23+ 32+ 36+ 41+ 43+ 44+ 45+ 47+ 54+ 55+ 59+ 61+ 63+ 66}{15} = 45.93 ≈ 46

Now, Standard deviation formula is given by;

                   s = \sqrt{\frac{ \sum(X-Xbar)^{2}}{n-1}} = \sqrt{\frac{ 2769}{15-1}} = 14.064 .

7 0
4 years ago
NEED HELP PLEASE ASAP!!!
Blababa [14]

Answer:

13.5

Step-by-step explanation:

213.21/15.8 --->  ((213.21)100)/((15.8)100)

21321/1580 = 13 R 781.

781/1580 = 0.49~~~

We only need to be concerned about the tenth and hundredth place digits.

The decimal tells us that it rounds up from 4, so it's 5.

Thus, the answers 13+0.5, which is 13.5

7 0
2 years ago
How would you do these questions?
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Step-by-step explanation:

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2. P(light AND not domestic) = P(light) − P(light AND domestic)

P(light AND not domestic) = 0.62 − 0.55

P(light AND not domestic) = 0.07

3. P(light GIVEN not domestic) = P(light AND not domestic) / P(not domestic)

P(light GIVEN not domestic) = 0.07 / (1 − 0.70)

P(light GIVEN not domestic) = 0.233

4. Two events are independent if P(A) × P(B) = P(A and B).

P(light) × P(domestic) = 0.62 × 0.70 = 0.434

P(light AND domestic) = 0.55

Therefore, the type and location are not independent.

3 0
3 years ago
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Firdavs [7]

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

6 0
3 years ago
When f(x)=-3, what is x?
Anna35 [415]

Answer:

Step-by-step explanation:

For example, if f(x)   =  2x   + 7

      then         f(-3) = 2(-3) + 7

                     f(-3) = 1

3 0
3 years ago
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