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kondaur [170]
3 years ago
15

Zayn puts garland around a square window. He

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
2 meters because 8/4 is 2
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Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green
Mars2501 [29]

Answer:

No, the events "brown hair" and "brown eyes" are not  independent.

Step-by-step explanation:

The table that represents the  hair and eye colors of thirty students of the fifth grade are given in table as:

                         Brown hair          Blonde hair              Total

Green eyes           9                       6                               15

Brown eyes          10                       5                              15

Total                     19                        11                             30

No, the events  "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30  (ratio of addition of first column to the total entries)

P(B)=15/30  ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

8 0
3 years ago
What is the solution to this system of equations?<br><br><br>4x + 5y = 7<br><br><br>3x – 2y = –12
oksano4ka [1.4K]

Answer:

x = -2 and y = 3

Step-by-step explanation:

It is given that,

4x + 5y = 7    -----(1)

3x – 2y = –12   ----(2)

<u>To find the value of x and y</u>

eq(1) * 3 ⇒

12x + 15y = 21   ----(3)

eq(2) * 4 ⇒

12x - 8y = -48  ---(4)

eq(3) - eq(4) ⇒

12x + 15y = 21   ----(3)

<u>12x - 8y = -48 </u> ---(4)

 0 + 23y = 69

y = 69/23 = 3

Substitute the value of y in eq(1)

4x + 5y = 7    ----(1)

4x + 5*3 = 7

4x = 7 - 15 = -8

x = -8/4 = -2

Therefore x = -2 and y = 3

5 0
3 years ago
Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
Andru [333]
The answer is B 38 for g.h and 5
5 0
3 years ago
To earn money for a contest, the math team pays $40 for a box of spirit banners. They sell each banner for $3.50. Write an equat
ankoles [38]

Answer:

3.5b - 40 where b is the amount of banners sold.

Step-by-step explanation:

We know the team has already spent $40, and they earn #3.5 per banner.

Hence, with b representing the amount of banners sold, the equation is 3.5b - 40

7 0
3 years ago
What is the type of sweet wine made in tuscany using dried grapes and extensive aging?
Sveta_85 [38]
<span>Well were your question is coming from this is what i can tell you~Tuscan wine most often involves the Sangiovese grape, and  For scope, 80% of all wines produced in Tuscany are produced with red grapes, Brunello di Montalcino is associated with extensive aging potential, It's a Super Tuscan that falls right in the middle of being not too dry or too sweet,</span>
3 0
3 years ago
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