Is. 36yd2ft bigger than 114ft 2in

LiRa [457]

The first one is 135 per hour if you barely went 90 miles in a hour in a half, and the second one it is 1/3+1/3+1/3 you add 2 more thirds so it means you add 2 forths 1/4/+1/4+1/4=3/4 so you paint 3/4's of the wall

5 0

4 years ago

The debate team has m members. Each member sold 5 coupon books as a fundraiser. Write an expression that shows the number of cou

Igoryamba

The equation should be:
m x 5 = 5m

5 0

3 years ago

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

ELEN [110]

Answer:

(a)

$\left[\begin{array}{ccccccccc} &1&2&3&4&5&6&7&8\\1&1&2&3&4&5&6&7&8\\2&2&4&6&8&10&12&14&16\\3&3&6&9&12&15&18&21&24\\4&4&8&12&16&20&24&28&32\\5&5&10&15&20&25&30&35&40\\6&6&12&18&24&30&36&42&48\\7&7&14&21&28&35&42&49&56\\8&8&16&24&32&40&48&56&64\end{array}\right]$

(b)

(i)probability that the product of the two numbers is a prime number=7/64

(ii)probability that the product of the two numbers is not a perfect square=56/64

(iii)probability that the product of the two numbers is a multiple of 5 =15/64

(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64

(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64

Step-by-step explanation:

(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.

To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.

(b) probability= Number of outcome / Total number of outcomes

(i)probability that the product of the two numbers is a prime number=8/64=1/8

based on sample space, the prime numbers are 2,2,3,3,5,5,7,7

(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8

based on sample space, only 1,4,9,16,25,36,49,64 are perfect square

(iii)probability that the product of the two numbers is a multiple of 5 =15/64

(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8

(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32

6 0

3 years ago

69108 what is this number written in standard form

prohojiy [21]

Sixty-nine thousand, a hundred and eight?

8 0

3 years ago

Read 2 more answers

Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x

artcher [175]

1. We can conclude that the result of the division is $x-13$ with a remainder of $4x-9$ , or in other notation: $x-13+ \frac{4x-9}{x^2+3}$ . Check the steps in the first image.

3. We can conclude that the result of the division is $x^{2} +6x+3$ with a remainder of 2, or in other notation: $x^{2}+6x+3+ \frac{2}{x-1}$ . Check the steps in the firts image.

5. We can conclude that the result of the division is $x+1$ with a remainder of 5, or in other notation: $x+1+ \frac{5}{x-4}$ . Check the steps in the first image.

7. To check if $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the second image.

9. To check if $x-3$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is $-2x^{2}+9x+5$ . Check the steps in the fourth image.

3 0

3 years ago