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3 years ago

Find the number of permutations of the first 8 letters of the alphabet taking 4 letters at a time.

Mathematics

1 answer:

abruzzese [7]3 years ago

5 0

1680 hope it helps :)

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Solve for x<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-9%7D" id="TexFormula1" title="\frac{1}{x-9}" alt="\frac{1}{

Anna [14]

r = 1/15

a branliest from the answer will be appreciated

8 0

2 years ago

Read 2 more answers

About 1414% of the population of a large country is nervous around strangersnervous around strangers. If two people are randoml

seraphim [82]

One person being nervous around strangers is assumed independent of other people behaviour. Then, the multiplication rule can be applied as

both nervous = 0.14*0.14 = 0.0196 = 1.96%

one is nervous, one is not nervous = 0.14*(1-0.14) = 0.1204 = 12.04%

At least one nervous = 1.96% + 12.04% = 14%

6 0

3 years ago

Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.

pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

$a\cdot b=0$

By using the property

$(u+v)\cdot (u-v)=0$

We know that

$(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2$

$\mid u\mid ^2-\mid v\mid^2=0$

$\mid u\mid^2=\mid v\mid^2$

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

$\mid u\mid=\mid v\mid$

Hence, the length of vectors u and v must have the same length.

5 0

3 years ago

The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect

AURORKA [14]

Solution: We are given:

$\mu=15, \sigma=5$

Using the empirical rule, we have:

$\mu \pm \sigma$ covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

$z=\frac{20-15}{5}=1$

Therefore, the percentage of values greater than 1 standard deviation above mean $50\% - \frac{68\%}{2} =50\%-34\%=16%$

Expected number of students = 16% of 100 = 16

4 0

3 years ago

What value of a makes the following equation true?<br> a−8a=210

Alex

Answer:

a=-30

Step-by-step explanation:

4 0

2 years ago