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Alex17521 [72]
3 years ago
15

Help as soon as possible

Mathematics
1 answer:
evablogger [386]3 years ago
4 0
1 and 5/16 pounds
Divide 7/8 with 2/3
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Which number is an integer? 6 4.2 3/4 5 1/2
stellarik [79]

Answer:

5, 6

Step-by-step explanation :

3 0
3 years ago
Read 2 more answers
From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21
ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

\frac{5+5+100}{210}=\frac{11}{21}

8 0
3 years ago
Find two unit vectors orthogonal to a=⟨2,−2,−3⟩a=⟨2,−2,−3⟩ and b=⟨3,2,2⟩b=⟨3,2,2⟩ enter your answer so that the first non-zero c
Ronch [10]
We need the cross product of the two vectors.
a x b
=<2,-2,-3> x <3,2,2>
=
i    j   k
2 -2 -3
3  2  2
=<-4+6, -(4+9), 4+6>
=<2,-13,10>
The second vector is obtained by reversing the direction, namely <-2,13,-10>
Thus the two vectors are <2,-13,10> and <-2,13,-10>.
8 0
3 years ago
Katie wants to buy some popcorn for her family at the theater. Each small tub of popcorn costs $3 and each large tub of popcorn
Molodets [167]

For this case we propose a system of equations:

x: Represents the amount of small popcorn tubs

y: Represents the amount of large popcorn tubs

According to the data we have to:

3x + 4y = 24 (Spending all the money in your wallet)

x + y = 7 (Buying 7 popcorn tubs)

From the second equation we have:

x = 7-y

Substituting in the first equation:

3 (7-y) + 4y = 24\\21-3y + 4y = 24\\21 + y = 24\\y = 24-21\\y = 3

Thus, Katie can buy 3 large tubs of popcorn.

So:

x = 7-3\\x = 4

In addition, you can buy 4 small tubs of popcorn.

Answer:

3 large popcorn tubs.

4 small popcorn tubs.

8 0
3 years ago
What type of number is 12i+360
QveST [7]

Answer:

Complex number.

Step-by-step explanation:

3 0
2 years ago
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