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ValentinkaMS [17]
3 years ago
14

3. Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

The circumference travels the same distance as the bicycle, 100 m

Step-by-step explanation:

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Which of the following is the most appropriate unit.to describe the rate at which a person reads
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8 0
3 years ago
1. In order to get more female customers, a new clothing store offers free gourmet coffee and pastry to its customers. The avera
ioda

Answer:

No, the manager is not correct based on the 95% confidence interval.

Step-by-step explanation:

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

                \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = $1080

                s  = sample standard deviation = $260

                 n = sample size = 35 {five-week}

So, 95% confidence interval for average daily revenue, \mu is given by;

P(-2.032 < t_3_4 < 2.032) = 0.95

P(-2.032 < \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } < 2.032) = 0.95

P(-2.032 * {\frac{s}{\sqrt{n} } < {Xbar - \mu} < 2.032 * {\frac{s}{\sqrt{n} } ) = 0.95

P(X bar - 2.032 * {\frac{s}{\sqrt{n} } < \mu < X bar + 2.032 * {\frac{s}{\sqrt{n} } ) = 0.95

95% confidence interval for \mu = [ X bar - 2.032 * {\frac{s}{\sqrt{n} } , X bar + 2.032 * {\frac{s}{\sqrt{n} } ]

                                            = [ 1080 - 2.032 * {\frac{260}{\sqrt{35} } , 1080 + 2.032 * {\frac{260}{\sqrt{35} } ]

                                             = [ 990.70 , 1169.30 ]

<em>No, the manager is not correct based on the fact that the coffee and pastry strategy would lead to an average daily revenue of $1,200 because the calculate 95% confidence interval does not include value of $1200.</em>

Therefore, the store manager believe is not correct.

8 0
3 years ago
Find the sum of the arithmetic series<br> 3+8+13+..+438
irina [24]

Answer:

19404

Step-by-step explanation:

sum of arithmetic series is

Sn = n/2 (2a + (n-1)d)

or

Sn = n/2 (a + an)

a = 1st unit

an = last unit

d = difference

8-3 or 13-8 so d = 5

then first step is to find the value of n

an = a + (n-1)d

438 = 3 + (n-1)5

438 - 3 = 5n - 5

435 = 5n - 5

435 + 5 = 5n

440 = 5n

n = 440/5

n = 88

then we can find the sum

Sn = 88/2 (3 + 438)

S88 = 19404

7 0
3 years ago
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