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3 years ago

(a + b)2 for a = 2 and b = 3.

Mathematics

2 answers:

Lady_Fox [76]3 years ago

7 0

Answer:

Step-by-step explanation:

So first you would plug the values into the equation so it would be (2+3)2. The you would distribute first so multiply 2 times 2 and 3 times 2 then you would get 4+6 = 10

Dominik [7]3 years ago

5 0

Answer:

Step-by-step explanation:

Fill in what A and B equals

(2+3)2

solve for inside the parentheses

(5)2

then multiply

5×2=10

therefore the answer is 10

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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack

anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0

3 years ago

The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d

liberstina [14]

Answer: 0.0516

Step-by-step explanation:

Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of $\lambda=20$ .

The probability mass function for Poisson distribution:- $P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

For x= 15 and $\lambda=20$ , we have

$P(X=x)=\dfrac{e^{-20}(20)^{15}}{15!}=0.0516488535318\approx0.0516$

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516

7 0

3 years ago

Penny has 139 postcards in her collection. Abe has 48 postcards in his collection. Then Abe gives his collection away. He divide

erik [133]

Answer:

145

Step-by-step explanation:

Divide 48 by 7 = 6≅. then add 6 to 139. 145

5 0

2 years ago

2 1/4 case of crayons . Each case holds 24 boxes of crayons . Each box holds 8 crayons . How many crayons

Natasha2012 [34]

Answer:

432

Step-by-step explanation:

3 0

2 years ago

Rex has a collection of 160 toy dinosaurs to put into 4 boxes. He puts 5 handfuls of toy dinosaurs in each box. There are no toy

SpyIntel [72]

Answer: 8 dinos

Step-by-step explanation:

there are 4 boxes and 5 handfuls in each. divide 160 by 4 and divide that, 40, by 5 to get 8

8 0

2 years ago