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Anestetic [448]
3 years ago
15

Emilia takes 80 minutes to type 24 pages. Jamie takes 30 minutes to type 18 pages. If they work together, how long will it take

them to type a total of 108 pages? Answer in minutes.
Mathematics
1 answer:
Nata [24]3 years ago
7 0

Answer:

120 minutes

Step-by-step explanation:

Lets focus on Emilia.

<u>Emilia</u>

80 min -> 24 pages

1 min -> 0.3 pages

Now, Lets focus on Jamie.

<u>Jamie</u>

30 min -> 18 pages

1 min -> 0.6 pages

<u>Both of them</u>

1 min -> 0.3+0.6=0.9 pages

x min-> 108 pages

x=108/0.9 = 120

Thus, the answer is 120 minutes

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7.4

Step-by-step explanation:

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3 years ago
7. Subtract (5 – 7p) from (2p – 3).
Aliun [14]

Answer:

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2 years ago
What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)
netineya [11]
If it’s a horizontal line, we focus on the y-coordinates.

(-7,5)

-7 is a x-coordinate
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The answer is y = 5
6 0
3 years ago
g red bell pepper seeds germinates 85% of the time. planted 25 seeds. What is the probability that 20 or more germinate
bixtya [17]

Answer:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

Step-by-step explanation:

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

X \sim Binom(n=25, p=0.85)  

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 want to find the following probability:

P(X\geq 20)= P(X=20)+P(X=21)+P(X=22)+P(X=23)+P(X=24)+P(X=25)

And replacing using the mass function we got:

P(X=20)=(25C20)(0.85)^{20} (1-0.85)^{25-20}=0.156  

P(X=21)=(25C21)(0.85)^{21} (1-0.85)^{25-21}=0.211  

P(X=22)=(25C22)(0.85)^{22} (1-0.85)^{25-22}=0.217  

P(X=23)=(25C23)(0.85)^{23} (1-0.85)^{25-23}=0.161  

P(X=24)=(25C24)(0.85)^{24} (1-0.85)^{25-24}=0.0759  

P(X=25)=(25C25)(0.85)^{25} (1-0.85)^{25-25}=0.0172  

And adding the values we got:

P(X\geq 20) = 0.8381

7 0
3 years ago
Juan just took a 40 question math test. He scored 75%. How many questions did he get correct
Veronika [31]

Answer:

30

Step-by-step explanation:

  40

x 0.75

-----------

=  30

7 0
3 years ago
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