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3 years ago

Prove that the value of the expression: 731^2−631^2 is divisible by 100

Mathematics

1 answer:

Ivanshal [37]3 years ago

7 0

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

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The number of pieces of mail that a department receives each day can be modeled by a distribution having mean 44 and standard de

saveliy_v [14]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the number of pieces of mail that a department receives each day, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = number of pieces of mail

u = mean

s = standard deviation

From the information given,

u = 44

s = 8

We want to find

P(x lesser than or 40) or P(x greater than 48)

For P(x lesser than or 40)

For x = 40,

z = (40 - 44)/8 = - 4/8 = - 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.30854

P(x greater than 48) = 1 - P(lesser than or or equal 48)

For x = 48,

z = (48 - 44)/8 = 4/8 = 0.5

Looking at the normal distribution table, the corresponding value of the z score is 0.69146

P(x greater than 48) = 1 - 0.69146 = 0.30854

The probability that the sample mean will be less than 40 or greater than 48 using is

0.30854 + 0.30854 = 0.69146

7 0

3 years ago

F = 2x + y<br> 3x + 5y = 45 x20 and y20<br> 2x + 4<32

ipn [44]

Answer:

Step-by-step explanation:

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3 years ago

6/8=y/16 how do you find the proportion of value y

Katarina [22]

You can set both fractions to have the same denominator by multiplying 6/8 (both the 6 and 8) by 2 to keep the value of the fraction, while turning the denominator to 16. So you get 12/16=y/16.
That means for the equation to be true y has to be 12.

Hope this helps!

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3 years ago

If f(x)=3x and g(x)=1/x what is the domain of (gof)(x)?

melomori [17]

Answer:

f=7x g=3 x=18

Step-by-step explanation:

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3 years ago

A person's rectangular dog pen for his dog must have an area of 200 square feet. Also, the length must be 12 feet longer than

kherson [118]

Answer:

width = 9.36 ft

length = 21.36 ft

Step-by-step explanation:

Let the width be x ft long. Then it follows that the length will be (x+12) ft long.

To calculate the area would then be

x(x+12) = 200

x $x^{2} +12x=200x^{2} +12x-200=0$

x = 9.36 ft or x = -21.36 ft

We take the positive answer. So the dimensions are

width = 9.36 ft

length = 9.36 + 12 = 21.36 ft

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3 years ago