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Lubov Fominskaja [6]
2 years ago
8

The sum of two numbers is 45 and the difference is 3. What are the numbers?​

Mathematics
1 answer:
AVprozaik [17]2 years ago
5 0

Answer:

24 and 21 are the two numbers

Step-by-step explanation:

let n represent the unknown number

let n-3 represent the second unknown number

n+n-3 = 45

2n-3=45

2n=45+3

2n=48

n=48/2

n=24

n-3=21

CHECK: 24+21=45

.˙. the first number is 24 and the second number with a difference of 3 is 21

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Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50
Vladimir79 [104]

Answer:

a) Var[z] = 1600

    D[z] = 40

b) Var[z] = 2304

    D[z] = 48

c) Var[z] = 80

    D[z] = 8.94

d) Var[z] = 80

    D[z] = 8.94

e) Var[z] = 320

    D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance  

V[ax+b] = a^{2}V[x]

and remember that

standard desviation = \sqrt{Var[x]}

a) z = 35-10x

   Var[z] = 10^{2} Var[x] = 100*16 = 1600

   D[z] = \sqrt{1600} = 40

b) z = 12x -5

   Var[z] = 12^{2} Var[x] = 144*16 = 2304

   D[z] = \sqrt{2304} = 48

c) z = x + y

   Var[z] =  Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94  

d) z = x - y

   Var[z] =  Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94

e) z = -2x + 2y

   Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

  D[z] = \sqrt{320} = 17.88

   

7 0
3 years ago
What is 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2∙ 2 in exponential form?
Lubov Fominskaja [6]

Answer:

2^9

Step-by-step explanation:

Since there are nine 2s being multiplied by each other, we can represent this as 2^9.

5 0
2 years ago
Read 2 more answers
Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is
AVprozaik [17]

Answer:

3.05 or 31/2 pounds

56 ounces

Step-by-step explanation:

To find the total weight all the weights have to have the same units of measurements

It is either pounds is converted to ounces or ounces is converted to pounds

1. convert ounces to pound

1 ounce = 0.0625

12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4

add together = 1 1/2 + 3/4 + 1 1/4 = 1\frac{1}{2} + \frac{3}{4}  + 1\frac{1}{4}

2\frac{2 +3 + 1}{4} = 2\frac{6}{4} = 3 1/2

2. 16 ounces = 1 pound

flour = 16 x 1 1/2 = 24

sugar = 16 x 1 1/4 = 20

total = 24 + 20 + 12 = 56 ounces

6 0
3 years ago
I really need help!If someone answers this,I will be happy to mark the brainest answer!EXTRA:you can answer the top question for
andreev551 [17]

9) They traveled 31.9 hours over the 3-day trip.

10.9 + 8.6 + 12.4 = 31.9

10) She does not have enough money. She has $12, but everything she wants to purchase would cost $12.39.

Large drink = 1.79

Turkey sandwich = 4.85

1.79 + 4.85 = 6.64

6.64 + 5.75 = 12.39

5 0
2 years ago
On the same day at school, 1/6 of the students were wearing skirts and 5/8 of the students were wearing pants. The rest of the s
anastassius [24]
What you do is you find the common denominator between the two fractions given.  the easiest is to just multiply them 

6*8=48

and then multiply each numerator by the number it's denominator is multiplied by

1*8=8  and 5*6=30

and now you have your new fractions, add them together

8/48+30/48=38/48

this leaves 10/48 as the people who were wearing shorts,  just simplify this and it's done

10/2    =5/24
48/2
4 0
2 years ago
Read 2 more answers
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