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lbvjy [14]
3 years ago
15

Nine disks are numbered from 1 to 9 and placed in a box. One disk is

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

The probability of selecting two even numbers is 1/6.

<u>Step-by-step explanation:</u>

Nine disks are numbered from 1 to 9 and placed in a box.

The total number of disks = 9

The question is asked to find the probability of selecting two even numbers.

  • We know that, the disks in the box are {1,2,3,4,5,6,7,8,9}.
  • The even number disks are {2,4,6,8}.

The number of even number disks = 4 disks.

<u>To find the probability of selecting two even numbers without replacement :</u>

P (first even disk) = No.of even disks / Total disks

⇒ 4 / 9

P (second even disk) = No.of remaining even disks / Total disks

⇒ 3 / 8

P (two even disks without replacement) = 4/9 × 3/8

⇒ 12 / 72

⇒ 1 / 6

∴ The probability of selecting two even numbers is 1/6.

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A local school has was evaluated the the Education Department and received the
Angelina_Jolie [31]

Answer: 79

Step-by-step explanation:

Given the following :

Graduation Rates:

Grade:82

Weight: 50%

Passing Rates:

Grade: 75

Weight: 30%

Enrollment Numbers:

Grade: 60

Weight: 10%

Career readiness:

Grade: 95

Weight: 10%

Overall score : Σ(grade × weight)

(82 × 50%) + (75 × 30%) + (60 × 10%) + (95 × 10%)

= (41 + 22.5 + 6 + 9.5)

= 79

Hence, overall score is 79

5 0
3 years ago
Light travels at about 3000 000 000 meter per second what is this speed in kilometers per hour
faltersainse [42]
3000000 Kilometers i believe
6 0
3 years ago
Read 2 more answers
Show that Circle R with center (2, -9) and radius 5 is similar to Circle Q with center (-4, 3) and radius 3 by using a series of
faltersainse [42]

Answer:

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

Step-by-step explanation:

We can demonstrate that Circle R is similar to Circle Q by translating the center of the former one to the center of latter one. Meaning that every point of circle R experiments the same translation. Vectorially speaking, a translation is defined by:

O'(x,y) = O(x,y) + T(x,y) (1)

Where:

O(x,y) - Original point.

O'(x,y) - Translated point.

T(x,y) - Translation vector.

If we know that O(x,y) = (2,-9) and O'(x,y) = (-4,3), then the translation vector is:

T(x,y) = O'(x,y)-O(x,y)

T(x,y) = (-4,3) - (2,-9)

T(x,y) = (-6,12)

It can be proved that the circle R is similar to the circle Q by translating the circle R a displacement of (-6, 12).

4 0
3 years ago
Could somebody solve this for me step-by-step? Please!
VikaD [51]

Answer: the answer to (g+h)x4 is

4g+4h

Step-by-step explanation:

(g+h)x4

multiply the parentheses by 4

and that will give you 4g+4h

sorry if it was wrong

8 0
3 years ago
Please help explanation if possible
krok68 [10]

Since y varies directly with x, we know that a multiplier of k will be multiplied by x.

y = kx

In order to use this equation we need to know the value of k.  That is why they gave us known values of x & y.

"when y = –51, x = 3"

Plug these values into our equation and solve for k.

–51 = k(3)

–51/3 = k   Divide both sides by 3

k = –17  Simplify

Now that we know k our equation from here on is:

y = –17x

Now we can use this equation to solve y if x = 2 by plugging in 2 for x.

y = –17(2)

y = –34  FINAL ANSWER

8 0
3 years ago
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