MATHEMATICS MIDDLE SCHOOL

If you roll a dice 100 times how many times would you expect to roll a product that is a multiple of 5

Answers

Answer 1
Answer:
If you're rolling a single cube, then ...

-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.


If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)
-- The probability of rolling one of those is
                                                             (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.

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Find the number between 30 and 70 that is divisible by 8, and when divided by 5 has a remainder of 1

Give an example of a 90 degree angle

Answers

The corner of a square will be a great example.
The letter L is an example of a 90 degree angle

how do i do 1 only? i honestly don't know what to do. first one answer is brainliest. oh and if you mind plz send me the answer for 1 b and c.thx

Answers

Since they all have the same denominator you add them, first you can add the whole numbers,
2+1+3=6
1/3+2/3= 3/3 or 1
Plus 3/3 or 1
So, now you have 2+1+3+1+1
The answer is 8

Subtract 3a^2+5ab−4b^2 from 8a^2−6ab+4b^2

Answers

Answer:

\large\boxed{(8a^2-6ab+4b^2)-(3a^2+5ab-4b^2)=5a^2-11ab+8b^2}

Step-by-step explanation:

(8a^2-6ab+4b^2)-(3a^2+5ab-4b^2)\n\n=8a^2-6ab+4b^2-3a^2-5ab-(-4b^2)\n\n=8a^2-6ab+4b^2-3a^2-5ab+4b^2\qquad\text{combine like terms}\n\n=(8a^2-3a^2)+(-6ab-5ab)+(4b^2+4b^2)\n\n=5a^2-11ab+8b^2

Determine whether the function f(x) = 3x4 is even or odd.The function is even because f(x) = f(−x).
The function is odd because f(x) = f(−x).
The function is even because −f(x) = f(x).
The function is odd because −f(x) = f(x).

Answers

Answer:

The function is even because f(x) = f(−x).

Step-by-step explanation:

we know that

An even function is one for which  

f(−x)=f(x) for all x in its domain.

An odd function is one for which  

f(−x)=−f(x) for all x in its domain

In this problem we have

f(x)=3x^(4)

so

f(-x)=3(-x)^(4)=3x^(4)

therefore

f(x)=f(-x) for all x in its domain.

Is a even function

Answer:

Option A) The function is even because f(x) = f(−x).

Step-by-step explanation:

We are given the following in the question:

f(x) = 3x^4

We have to check whether the given function is odd or even.

Even function:

  • f(-x) = f(x)

Odd function:

  • f(-x) = -f(x)

To check, we evaluate f(-x)

f(x) = 3x^4\nf(-x) = 3(-x)^4 = 3(-1)^4(x)^4 = 3x^4 = f(x)

Thus, the given function is even.

A book shelf is 3 1/2 feet long. Each book on the shelf is 5/8 inches wide. How many books will fit on the shelf?

Answers

first convert 3 and 1/2 to imporoper
3 and 1/2=6/2+1/2=7/2 feet
convert to inches
7/2 times 12=84/2=42 inches

k so

total space used=number of books times space each book uses
total space possible=42
space each book uses=5/8
so
42=numberofbooks times 5/8
multiply both sides by 8/5 to clera fraction (5/8 times 8/5=40/40=1)
336/5=number of books
67.2=number of books
since you cannot fit 0.2 book (besides being useless or very small), we round down
67 books

on average a baby uses 3 times the number of large diapers as small diapers and double the number of medium diapers as small diapers. If the average baby uses 2940 diapers size large and small, how many of each size would be used

Answers

Okay, if I read this correctly, then the number of large diapers is three times as many as small, and the medium diapers are two times as many as small. To set this equation up, assign x as the unknown value. Small = x Medium = 2x and Large = 3x . Add all of these together and equal them to 2940. From here, solve the equation (6x=2940) by dividing the entire thing by 6. You will have x = 490.
To find the number of each size, plug it back into the original.
Large: 3x = 3(490) = 1470
Medium: 2x = 2(490) = 980
Small: x = 490
Hopefully I read the problem correctly.
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