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bija089 [108]
3 years ago
7

Evaluate the permutation. 6P2 15 30 36

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0

Answer:

30

Step-by-step explanation:

Using the definition

nP_{r} = \frac{n!}{(n-r)!}

where n ! = n(n - 1)(n - 2)(n - 3)... × 3 × 2 × 1

Thus

6P_{2} = \frac{6!}{4!} = \frac{6.5.4.3.2.1}{4.3.2.1} ← cancel 4.3.2.1 on numerator/ denominator, leaving

      = 6 × 5

      = 30

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Jason ate 1/2 of a whole pizza. The next day, he shared the remaining pizza between himself and 2 friends. What fraction of the
suter [353]

Answer:

1/6

Step-by-step explanation:

jason ate 1/2, so only 1/2 of the pizza is left.

1 ÷ 2 = 1/2

he split it equally between himself and 2 friends (3 people)

1/2 ÷ 3

= 1/2 × 1/3

=1/6

8 0
3 years ago
Find the area of the triangle below.
d1i1m1o1n [39]

Answer:

   45.5

Step-by-step explanation:

Use pyth theorem to find the whole bottom side. Then sub 16 by 13. # is the small segmented area. The small segmented tri is 10.5 area. The big tri is 56. Sub 10.5 from 56 to get 45.5.

4 0
2 years ago
Passes through the points (−4, 2) and (12, 6)?
svlad2 [7]

<u>I'll assume you need to find the equation of the line that passes through those points.</u>

Answer:

\displaystyle y-2=\frac{1}{4}(x+4)

Step-by-step explanation:

<u>Equation of a Line:</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The given points are (-4,2) and (12,6), thus:

\displaystyle y-2=\frac{6-2}{12+4}(x+4)

Operating:

\displaystyle y-2=\frac{4}{16}(x+4)

Simplifying, the equation in point-slope form is:

\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}

3 0
2 years ago
Ashley multiplied 9 x 0.942 and got 84.78. How can you use estimation to show that Ashley's answer is wrong? Use whole numbers t
exis [7]

Answer:

Calculate the percent value:

0.942 =

0.942 × 100/100 =

(0.942 × 100)/100 =

94.2/100 =

94.2%;

In other words:

1) Multiply that number by 100.

2) Add the percent sign % to it.

Answer:

0.942 = 94.2%

Step-by-step explanation:

7 0
3 years ago
Solve the compound inequality: 3x ≤ 18 AND x + 4 &gt; 2
dedylja [7]
There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3  and : 
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D) 
Solution set :  - 2 < x ≤ 3  
4 0
3 years ago
Read 2 more answers
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