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damaskus [11]
4 years ago
13

Analysis showed that the mean arrival rate for vehicles at a certain Shell station on Friday afternoon last year was 4.5 vehicle

s per minute. How large a sample would be needed to estimate this year's mean arrival rate with 98 percent confidence and an error of ± 0.5?
Mathematics
2 answers:
Solnce55 [7]4 years ago
7 0

Answer:

25

Step-by-step explanation:

use a Poisson process to model the arrival.

the mean rate of arrivals  is λ=4.5

The standard deviation is calculated as:

σ==√λ =2.1213

The z-value for a 98% CI is z=2.3262.

If the 98% CI has to be within a error of 0.5 then:

Ul-Ll=2z*σ/√n=2*0.5=1

√n=z*σ=2.3262*2.1213=4.9346

√n=4.9346  and n = 4.9346^2=24.35 rounded to 25

The sample size needed is n=25.

nadezda [96]4 years ago
3 0

Answer:

idk sorry

Step-by-step explanation:

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a phone sells for $250. It is now on sale for 1/5 of the original price. April has a coupon for an extra 10% off the sale price.
alexandr402 [8]
180 is correct ;3 you are welcome 
3 0
3 years ago
Read 2 more answers
Help i need an answer !
inna [77]

The answer to #1 is 0.

In order to find the answer to this one (or any of these problems, simply follow the order of operations. In the case of #1, we first want to stick the 0 in for a and then continue.

\frac{a}{b} +\frac{a + 1}{b} +\frac{a - 1}{b}

\frac{0}{b} +\frac{0 + 1}{b} +\frac{0 - 1}{b}

\frac{1}{b} +\frac{-1}{b}

Since these two numbers cancel, you will get the answer as 0. For the rest of these, follow the basic steps provided by your teacher in PEMDAS.


8 0
4 years ago
Mike works in a toy store. One week, he worked 38 hours and made $220. The next week, he received a raise, so when he worked 30
garik1379 [7]

Answer:

$0.21

Step-by-step explanation:

Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.

We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: 38x=220

We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: 30y=180.

Let us solve for x and y.

x=\frac{220}{38}

x=5.7894736842105263

Therefore, before raise Mike earned $5.7894 per hour.

y=\frac{180}{30}

y=6

Therefore, after raise Mike earned $6 per hour.

Now let us subtract 5.7894 from 6 to find Mike's raise.

\text{Amount of raise}=6-5.7894

\text{Amount of raise}=0.2106\approx 0.21

Therefore, amount of Mike's raise to the nearest cent is $0.21.

8 0
4 years ago
A positive number is 5 times another number if wee subtract 1 from the larger and add 3 to the smaller then one of them becomes
WARRIOR [948]
Make the big number x and the small y
5y=x; x-1=(y+3)3; now substitute. 5y-1 = 3y+9. 2y=10 y is 5x is 25
8 0
3 years ago
Can someone help me with 2-89! Please
mr Goodwill [35]

Answer:

Step-by-step explanation:

A. 2x+3y+z

X = -2

Y= -3

Z= 5

2(-2)+3(-3)+5

-4-9+5

=8

B. X-Y

-2–3

-2+3

=1

C. 2(x+y/z)

2(-2-3/5)

2(-1)

=-2

D. 3x^2-2x+1

3(-2)^2-2(-2)+1

3(4)+4+1

=17

E.3y(x+x^2-y)

3(-3)(-2+-2^2-(-3))

-9(1)

=-9

F.-z^2(1-2x)/y-x

5^2(1-2(-2)/-3–2

25(5/5)

25(1)

=25

5 0
3 years ago
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