All categories

3 years ago

Help me please? 15 points to anyone who can help me!"Find the number of permutations of the first nine letters of the alphabet t

aking six letters at a time."

Mathematics

1 answer:

gladu [14]3 years ago

7 0

$_{9}P_{6}=\frac{9!}{(9-6)!}=\frac{9!}{3!}=\frac{362,880}{6}=60,480$

You might be interested in

Solve equation, check for extraneous solutions

fiasKO [112]

Start with

$1=\dfrac{1}{n^2}+\dfrac{n^2-4n-5}{3n^2}$

We observe that both fractions are not defined if $n=0$ . So, we will assume $n \neq 0$ .

We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:

$1=\dfrac{3}{3n^2}+\dfrac{n^2-4n-5}{3n^2} = \dfrac{n^2-4n-2}{3n^2}$

We multiply both sides by $3n^2$ :

$n^2-4n-2=3n^2$

We move everything to one side and solve the quadratic equation:

$2n^2+4n+2=0 \iff 2(n^2+2n+1)=0 \iff 2(n+1)^2=0 \iff n+1=0 \iff n=-1$

We check the solution:

$1=\dfrac{1}{1}+\dfrac{1+4-5}{3} \iff 1 = 1+0$

which is true

8 0

3 years ago

If mZOKL = 80°, then what is mZHKJ? С E А4 N H K M

Nookie1986 [14]

MOKL and mHKJ are vertical angles, so they’re congruent
so mHKJ is also 80°

5 0

3 years ago

What is a definition of a Line ?

solmaris [256]

Answer:

noun

1. a length of cord, rope, wire, or other material serving a particular purpose.

2. a long, narrow mark or band.

verb

1. stand or be positioned at intervals along.

2. mark or cover with lines.

4 0

3 years ago

4. Does the scatterplot have positive correlation, negative correlation, or no correlation?

bija089 [108]

Answer:

Negative Correlation

Step-by-step explanation:

Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.

5 0

3 years ago

Write the answer in scientific notation and in standard form.Round to the appropriate number of significant digits.

Aleks [24]

Hey there, the answer is C.

After multiplying, you will get .37278. However, it's asking you to consider the significant figure of 3 so you'll have to round it to .373. C has that only option

7 0

3 years ago