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Paraphin [41]
3 years ago
10

Dylan read 210 pages of a book in 5 days. He read 37 pages each day for the first 3 days He read y pages the fourth day. Which e

quation can be used to find p, the number of pages Dylan read on the fifth day?
Mathematics
2 answers:
Setler79 [48]3 years ago
8 0

6794638573463736373u434737463

tresset_1 [31]3 years ago
4 0
Answer:

p = 99 - y OR 99 - y = p

explanation:

day 1 = 37
day 2 = 37
day 3 = 37
day 4 = Y
day 5 = P

In the first 3 days dylan read 111 pages (37 x 3) that means he would of had to have to read 99 pages on days 4 & 5 altogether.

substitute what we know :-

y + p = 99

switch the equation round to show that we are trying to find the number of pages on day 5 :-

p = 99 - y
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The number of typing errors made by a typist has a Poisson distribution with an average of three errors per page. If more than t
damaskus [11]

Answer:

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

Step-by-step explanation:

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.

Poisson distribution with an average of three errors per page

This means that \mu = 3

What is the probability that a randomly selected page does not need to be retyped?

Probability of at most 3 errors, so:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494

P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240

P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240

Then

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0498 + 0.1494 + 0.2240 + 0.2240 = 0.6472

0.6472 = 64.72% probability that a randomly selected page does not need to be retyped.

3 0
3 years ago
Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How l
nikitadnepr [17]

Answer:

1 hour

Step-by-step explanation:

no explanation its common sense lol

7 0
3 years ago
Match each value with its formula for ABC.
Ivahew [28]

For the triangle ABC use the sine theorem:

\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}.

1. From \dfrac{a}{\sin A}= \dfrac{b}{\sin B} you have \dfrac{a}{b} \cdot \sin B=\sin A.

2. From \dfrac{b}{\sin B}= \dfrac{c}{\sin C} you have \dfrac{b}{c} \cdot \sin C=\sin B.

3. From \dfrac{a}{\sin A}= \dfrac{c}{\sin C} you have \dfrac{c}{a} \cdot \sin A=\sin C.

4. From \dfrac{a}{\sin A}= \dfrac{c}{\sin C} you have \dfrac{\sin A}{\sin C} \cdot c=a.

5. From \dfrac{a}{\sin A}= \dfrac{b}{\sin B} you have \dfrac{\sin B}{\sin A} \cdot a=b.

6. From \dfrac{b}{\sin B}= \dfrac{c}{\sin C} you have \dfrac{\sin C}{\sin B} \cdot b=c.

5 0
4 years ago
Read 2 more answers
Please answer this, thanks.
elena55 [62]
First, put it into point-slope form. 

Find the slope:

m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4

Now, put it into point-slope:

y-y1=m(x-x1)

y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24

Slope intercept form: y= mx+b

Add 2 to the other side.

y=-4x-22 <== the answer

I hope this helps!
~kaikers
4 0
3 years ago
Read 2 more answers
A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120
Jet001 [13]

The rate at which the sound travels in km/hr is 0.142km/hr

<h3>Conversion of m/s to km/hr</h3>

If a sound wave travels with a speed of 5120m/s, in order to convert to km/he, we will use the conversion factor below;

1hr = 3600secs

1km = 1000m

Using the conversion factor in our dimensional analysis

5120m/s = 5120m/1s * 1km/1000m * 3600s/1hr

5120m/s  = 5120m/3600000

5120m/s = 0.142km/hr

Hence the rate at which the sound travels in km/hr is 0.142km/hr

learn more on dimensional analysis here: brainly.com/question/21510595

#SPJ1

6 0
2 years ago
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