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LenaWriter [7]
3 years ago
5

A single letter from the word zookeeper is chosen. What is the probability of choosing k or an e? Express your answer as a fract

ion in lowest terms or a decimal rounded to the nearest millionth
Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

4/9

Step-by-step explanation:

There are 9 letters in the word zookeeper.  4 of those letters are either a k or an e.  So the probability is 4/9.

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What is the answer of this question?​
polet [3.4K]

Answer:

116

Step-by-step explanation:

8.2 / 2 = 4.1

a = \sqrt{7^{2}-4.1^{2} } = 5.6736

0.5 x 8.2 x 5.6736 = 23.2618

23.2618 x 5 = 116.309 = 116

7 0
3 years ago
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
2 years ago
The sequence 2,6,18,54 shows the number of sit-ups Alan can do each day.
jek_recluse [69]

Step-by-step explanation:

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6-2=4  not equal to  d=18-6=12

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/2=18/6=54/18=3    equal

So it is geometric

By using this equation:

a(n)=a(1)*r^(n-1)

and we have a(1)=2 , r=3    

<u>Explicit rule:</u> a(n)=2*(3)^(n-1)

<u>Recursive rule:</u>  a(n)= r * a(n-1)

a(n-1) ⇒ priviuse term

SO:  a(n)= 3 * a(n-1)

For example:

a(3)= 3 * 6 =18

<em>I really hope this helps <3</em>

7 0
3 years ago
What is the congruence method you will use to show that the triangles are congruent?
kozerog [31]
The answer would be SSS or Side-Side-Side.
4 0
2 years ago
Read 2 more answers
Zeina has seven times as many books as ali if zeina gave ali 15 books they would eash have the same number of books how many boo
ELEN [110]

Step-by-step explanation:

20 each because it's like tgat

5 0
3 years ago
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