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aalyn [17]
3 years ago
7

Jenna’s method: Mia’s method: 5(30 + 4) 5(30 + 4) (5)(30) + (5)(4) 5(34) = 170 150 + 20 = 170 Explain why both Jenna and Mia arr

ived at the same answer and the advantage of one method over the other.
Mathematics
2 answers:
choli [55]3 years ago
6 0
Every single equation equals 170:
MIA
5(30+4) = 5(34) = 5 x 34 = 170
(5)(30) + (5)(4) = 5 x 30 + 5 x 4 = 150 + 20 = 170
5(34) = 5 x 34 = 170

JENNA
150 + 20 = 170

Jenna's method is the equation in its simplest form.  Addition that is easily understood.  While Mia's method is just as valid as Jenna's, some people may have trouble remembering the steps of multiplication within parentheses as well as being able to look at large multiplication problem such as 5x34 and automatically knowing the answer, or being able to get the answer, as fast as simple addition. 
d1i1m1o1n [39]3 years ago
5 0

Both methods multiplied 5 and 34, but Jenna’s method used the distributive property to simplify the multiplication so she could do the math mentally. Mia’s method would require more complex multiplication.

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30 cm = mm <br><br><br> Pls help me!!!
HACTEHA [7]

Answer:

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Step-by-step explanation:

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Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
Leviafan [203]

Answer:

Probability of having student's score between 505 and 515 is 0.36

Given that z-scores are rounded to two decimals using Standard Normal Distribution Table

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu (Mean) = 510, SD = 10.4 we have z(x) by using z(x) = (x - Mu)/SD as under:

In our case, we have x = 505 & 515

Approach 1 using Standard Normal Distribution Table:

z for x=505: z(505) = (505-510)/10.4 gives us z(505) = -0.48

z for x=515: z(515) = (515-510)/10.4 gives us z(515) = 0.48

Afterwards using Normal Distribution Tables and rounding the values to two decimals we find the probabilities as under:

P(505) using z(505) = 0.32

Similarly we have:

P(515) using z(515) = 0.68

Now we may find the probability of student's score between 505 and 515 using:

P(505 < x < 515) = P(515)-P(505) = 0.68 - 0.32 = 0.36

PS: The standard normal distribution table is being attached for reference.

Approach 2 using Excel or Google Sheets:

P(x) = norm.dist(x,Mean,SD,Commutative)

P(505) = norm.dist(505,510,10.4,1)

P(515) = norm.dist(515,510,10.4,1)

Probability of student's score between 505 and 515= P(515) - P(505) = 0.36

Download pdf
6 0
3 years ago
. A hat contains 100 coins, where 99 are fair but one is double-headed (always landing Heads). A coin is chosen uniformly at ran
SOVA2 [1]

Answer:0.565

Step-by-step explanation:

Hat contain 100 coins out of which 99 is fair and one is double headed.

Probability of getting 7 heads is sum of Head through fair coin+heads through biased coin

Probability of getting a head through a fair coin=0.5

P(7 heads)=0.99\times 0.5^7+0.01\times 1

P(Double head |7 heads )=\frac{Probability\ of\ 7\ heads\ and\ double\ headed}{probability\ of\ 7\ heads}

P(Double head |7 heads )=\frac{0.01\times 1}{0.99\times 0.5^7+0.01\times 1}

=\frac{0.01}{0.99\times 0.0078+0.01}=0.565

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Answer:

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Step-by-step explanation:

According to the information given, profits are divided equally into 4 parts

Since the total profit for the first month is 100,000$ each party will receive a sum of 25,000$. This means that Y also receives the same amount

Now if the profits were divided in proportion to the investments made we first find the proportion on investment made by Y.

The total investment made is 6000$ + 2000$ + 8000$ + 4000$ = 20,000$. Out of this, the amount invested by Y is 8000$

finding the proportional profit of Y

\frac{8000}{20000} (100000)

=40,000$

So Y receives 40,000 - 25,000 = 15,000 less

4 0
3 years ago
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