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4 years ago

How do i simplify each fraction 5/10 4/12 3/9 how do i solve by doing what steps

2 answers:

7 0

5/10 divide each number by 5, 5 divided by 5 is 1 and 10 divided by 5 is two so it would be 1/2

4/12 divide each number by 4, four divided by 4 is 1, and 12 divided by 4 is 3 so it would be 1/3

3/9 divide each number by 3, 3 divided by 3 is 1, and 9 divided by 3 is 3 or it would also be 1/3

Hope that helped you

aalyn [17]4 years ago

6 0

5 and 10 have a least common multiple of 5 and so u just divide the nominator and denominator by 5

Do the same with the next problems however dont use 5 as the lcm ( least common multiple ) find it out by listing all multiples

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Starting at 6 a.m. every morning, Matilda receives text messages on her cell phone from her mother, her best friend, and her bro

Dafna1 [17]

Answer:

a) 0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

b) $1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

Step-by-step explanation:

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A) Find the probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

Two from the best friend:

Her best friend sends a message once every 10 minutes.

From 6 to 7:30, there is an hour and a half, that is, 90 minutes, so the mean for her best friend is $\mu = \frac{90}{10} = 9$

Two messages is P(X = 2). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-9}*9^{2}}{(2)!} = 0.0050$

Two from the mother:

Message every hour = 60 minutes. So $\mu = \frac{90}{60} = 1.5$ . This is P(X = 2).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 2) = \frac{e^{-1.5}*1.5^{2}}{(2)!} = 0.2510$

Two of her best friend and two of her mother:

Independent events, so the probability of both happening is the multiplication of their separate probabilities.

$p = 0.005*0.251 = 0.0013$

0.0013 = 0.13% probability that by 7:30 a.m. Mary receives exactly four messages – two of her best friend and two of her mother.

B) With a chance of 75% a text message contains a typo independent of the sender. Find the probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

In 3 hours, she is expected to receive:

3*60/10 = 18 messages from her best friend.

3*60/60 = 3 messages from her mother.

3*60/30 = 6 messages from her brother.

In total, 27 messages.

75% probability of a typo, so $\mu = 0.75*27 = 20.25$

This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-20.25}*20.25^{0}}{(0)!} = 1.6 \times 10^{-9}$

$1.6 \times 10^{-9}$ probability that there are no typos in the text messages Matilda receives between 2 p.m. and 5 p.m.

8 0

3 years ago

You purchased a stock at a price of $51.17. The stock paid a dividend of $1.75 per share and the stock price at the end of the y

ipn [44]

Answer: i think it is 109.51

Step-by-step explanation:

7 0

3 years ago

the second term in an arithmetic sequence is 10 and the fifth term is 22. If the first term is a1, what is an equation for the n

Tcecarenko [31]

In an arithmetic sequence, the nth term is the first term + (n-1)* difference
the fifth term=the second term +(5-2)*difference
22=10+3d
d=4
the first term=the second term-the difference=10-4=6
the nth term =6+4(n-1) or or 10+4(n-2),

8 0

3 years ago

F(x) = 3x + 1. Solve for x if f(x) = 19

OLga [1]

To solve, set your equation to your solution.

3x+1=19

Start by subtracting 1 from each side to start isolating the x.

3x+1=19
-1 -1
————-
3x=18

Next, divide both sides by 3 to completely isolate the x.

3x=18
—- ——
3 3

x=6

Therefore, x for f(x)= 19 is 6

You can check by inserting into the equation 3(6)+1=18+1=19.

Hope this helps!!

8 0

3 years ago

Read 2 more answers

Which student will complete the homework assignment first? Explain your answer and

Lesechka [4]

Answer:

Step-by-step explanation:

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3 0

3 years ago