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Ivanshal [37]
3 years ago
11

Elaine had m dollars in her checking account. On December 8, she deposited $1,200, r dollars, and $568.90. She also cashed a che

ck for t dollars and one for $73.70. Write an algebraic expression that represents the amount of money in her account after the transactions.
Mathematics
1 answer:
KIM [24]3 years ago
4 0

Initial amount in Elaine's account = m dollars ---- (1)

On December 8, total money deposited by Elaine = 1200 + r + 568.9

= r + 1768.9 ----- (2)

Total money on her account now = m + r + 1768.9

Total money she cashed by cheques = t + 73.7.

Therefore, her current balance in her account = (m + r + 1768.9) - (t + 73.7)

= (m + r - t) + 1695.2.

Hence, the algebraic expression that represents the amount of money in her account after the transactions is (m + r - t) + 1695.2.


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You are at a stall at a fair where you have to throw a ball at a target. There are two versions of the game. In the first
Tomtit [17]

Answer:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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

Alternative 1

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

X \sim Binom(n=3, p=0.1)

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!}

We can find the probability of loss like this P(X=0) and if we find this probability we got this:

P(X=0)=(3C0)(0.1)^0 (1-0.1)^{3-0}=0.729

And the probability of loss with the first wersion is 0.729

Alternative 2

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

Y \sim Binom(n=5, p=0.05)

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

P(Y)=(nCy)(p)^y (1-p)^{n-y}

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

nCy=\frac{n!}{(n-y)! y!}

We can find the probability of loss like this P(Y=0) and if we find this probability we got this:

P(Y=0)=(5C0)(0.05)^0 (1-0.05)^{5-0}=0.774

And the probability of loss with the first wersion is 0.774

As we can see the best alternative is the first version since the probability of loss is lower than the probability of loss on version 2.

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3 years ago
On Saturday, 94,887 passengers
garik1379 [7]
Answer: 107,997

Reasoning: All you need to do is add the two passenger numbers for the two busses to get the total number of passengers on them on Saturday.
I hope that helps
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3 years ago
You need 3 sticks of butter for every 24 giant cookies you bake.
marta [7]

Answer:

Sticks of butter : 2

Number of cookies : 40

Step-by-step explanation:

<em>Given that :You need 3 sticks of butter for every 24 giant cookies you bake.</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Sticks of butter                    Number of cookies</em>

<em>  3                                           24</em>

<em>  x                                             16</em>

<em>5                                                 y</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Let the unknown be x and y..</em>

<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>

<em>Then 24/3 = 8</em>

<em>Since the number of cookies is 16 then 16/8 = 2</em>

<em>Thus x = 2</em>

<em>Next for y.</em>

<em>Since you need 3 sticks of butter for every 24 giant cookies you back</em>

<em>Then 5 * 8 = 40</em>

<em>Thus, y = 40</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<em>Completed table below:</em>

<em>Sticks of butter                    Number of cookies</em>

<em>  3                                           24</em>

 2    <em>                                         16</em>

<em>5                                                 </em><em>40</em>

<em>----------------------------------------------------------------------------------------------------------</em>

<u><em>~lenvy~</em></u>

<em />

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2 years ago
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Find the slope of the line passing through the points (7, 8) and (-7, 1). Show your work.
anygoal [31]

Answer:

The slope is \frac{1}{2}

Step-by-step explanation:

∵ The rule of the slope passing through 2 points is:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ The points are (7 , 8) and (-7 , 1)

∴ m = \frac{1-8}{-7-7}=\frac{-7}{-14}=\frac{1}{2}

4 0
2 years ago
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