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Bess [88]
2 years ago
15

A machine is designed to fill 16-ounce bottles of shampoo. When the machine is working properly, the amount poured into the bott

les follows a normal distribution with mean 16.05 ounces with a standard deviation of .1005 ounces. If four bottles are randomly selected each hour and the number of ounces in each bottle is measured, then 95% of the means calculated should occur in what interval?
Mathematics
1 answer:
DiKsa [7]2 years ago
4 0

Answer:

Between 15.95 ounces and 16.15 ounces.

Step-by-step explanation:

We have the following value m, being the mean, sd, being the standard deviation and n, the sample size:

m = 16.05

sd = 0.1005

n = 4

We apply the formula of this case, which would be:

m + - 2 * sd / (n ^ 1/2)

In this way we create a range, replacing we have:

16.05 + 2 * 0.1005 / (4 ^ 1/2) = 16.1505

16.05 - 2 * 0.1005 / (4 ^ 1/2) = 15.9495

Which means that 95% of all samples are between 15.95 ounces and 16.15 ounces.

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If a person tosses a coin 23 times, how many ways can he get 11 heads
EastWind [94]

Tossing a coin is a binomial experiment.

Now lets say there are 'n' repeated trials to get heads. Each of the trials can result in either a head or a tail.

All of these trials are independent since the result of one trial does not affect the result of the next trial.

Now, for 'n' repeated trials the total number of successes is given by

_{r}^{n}\textrm{C}

where 'r' denotes the number of successful results.

In our case n=23 and r=11,

Substituting the values we get,

_{11}^{23}\textrm{C}=\frac{23!}{11!\times 12!}

\frac{23!}{11!\times 12!}=1352078

Therefore, there are 1352078 ways to get heads if a person tosses a coin 23 times.


3 0
2 years ago
Which is equivalent toStartRoot 10 EndRoot Superscript three-fourths x ?
bagirrra123 [75]

Answer:

4

Step-by-step explanation:

7 0
2 years ago
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Jeff Brown has collected sales data for his cupcake stand. Calculate the weighted moving average forecast for period 13 with wei
valentinak56 [21]

Answer:

Step-by-step explanation:

To calculate the weighted moving average for period 13 with weights 0.4 and 0.3.

P13 = (30.7x 0.4) + (42.0x 0.3)

P13 = 12.28 + 12.60

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6 0
2 years ago
Diego's age d is 5 more than 2 times his sister's age s. This situation is represented
Charra [1.4K]

Answer:

d-5=2s

Step-by-step explanation:

Diego's age d is 5 more than 2 times his sister's age s.

The equation used to represent it is :

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We need to find the equivalent equation for the above equation.

If we take 5 to LHS of the equation, it will become -5 such that,

d-5=2s

Hence, option (b) is the equivalent equation.

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Compare the values of the underlined digits. 2,783 and 7,283.
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The value of the 2 in the thousands place is 10 times the value of 2 in the hundreds place.

200 x 10 =  2000

hope this helps

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2 years ago
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