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3 years ago

A piece of paper is four over one thousand inches thick so how many sheets of paper will it take to make a stack 1 inch high

Mathematics

1 answer:

trasher [3.6K]3 years ago

6 0

Keep doing 4 over 1000 until the four reaches the 1000. If four does not go into 1000, then reduce the fraction 4/1000.

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Use the grouping method to factor the polynomial below completely. x^3-4x^2+3x-12

ale4655 [162]

Answer:

(x^2 + 3) (x - 4)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Y=2x+10<br> y=x+1 <br> solve using substitution

Anvisha [2.4K]

Answer:

x = -9

y = -8

Step-by-step explanation:

here's the solution :-

=》y = 2x + 10

=》y = x + 1

plunging the value of y from equation 1 into equation 2

=》2x + 10 = x + 1

=》2x - x = 1 - 10

=》x = -9

value of x = -9

now, plugging the value of x in equation 2, we get :-

=》y = x + 1

=》y = -9 + 1

=》y = -8

6 0

2 years ago

Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is t

Ksju [112]

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The equation representing the given statement is ~

$50x + 330 \geqslant 820$

The least number of lawns that he can cut and buy the computer is 10 lawns ~

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Total savings should be greater or equal to $ 820 in order to buy the computer,

And his total savinga is equal to ~

Money he saved + money got from cutting lawns.

let's assume the lawns cut by Tyrod be x,

Money earned by cutting lawns is equal to

total number of lawns cut × $50

total savings is equal to ~

330 + 50x

hence,

$50x + 330 \geqslant 820$

by solving for " x (number of lawns cut) " we get ~

$50x \geqslant 820 - 330$

$50x \geqslant 490$

$x \geqslant 490 \div 50$

$x \geqslant 9.8$

Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is

$10$

6 0

2 years ago

Tic-tac-toe: In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is

Natasha2012 [34]

Answer:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.127)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1) = 1-P(X$

And if we find the individual probability we got:

$P(X=0)=(7C0)(0.127)^0 (1-0.127)^{7-0}=0.3865$

And replacing we got:

$P(X \geq 1) = 1-P(X$

6 0

3 years ago

Read 2 more answers

At a basketball game, a vendor sold a combined total of 142 sodas and hot dogs. The number of sodas sold was 38 more than the nu

kow [346]

X represents the number of sodas
y represents the number of hot dogs

142 = x + y
x = 38 + y

Substitute x in the first equation

142 = 38 + y +y
142 - 38 = 2y
104/2 = 2y/2
y =52

x = 38 + 52
x = 90

8 0

2 years ago