48:11<br> Which graphed matches the equation + 6 =<br>

A candy company puts 3 gumdrops in each bag. How many gumdrops will the company need to fill 5,000 bags?

Ksenya-84 [330]

15,000
3 multiplied by 5,000 is 15,000

5 0

2 years ago

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

Molodets [167]

Answer:

10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

99.55% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mildly obese

Normally distributed with mean 375 minutes and standard deviation 68 minutes. So $\mu = 375, \sigma = 68$

What is the probability (±0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes?

So $n = 6, s = \frac{68}{\sqrt{6}} = 27.76$

This probability is 1 subtracted by the pvalue of Z when X = 410.

$Z = \frac{X - \mu}{s}$

$Z = \frac{410 - 375}{27.76}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962.

So there is a 1-0.8962 = 0.1038 = 10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

Lean

Normally distributed with mean 522 minutes and standard deviation 106 minutes. So $\mu = 522, \sigma = 106$

What is the probability (±0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes?

So $n = 6, s = \frac{106}{\sqrt{6}} = 43.27$

This probability is 1 subtracted by the pvalue of Z when X = 410.

$Z = \frac{X - \mu}{s}$

$Z = \frac{410 - 523}{43.27}$

$Z = -2.61$

$Z = -2.61$ has a pvalue of 0.0045.

So there is a 1-0.0045 = 0.9955 = 99.55% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes

6 0

3 years ago

A wall is 300 square feet.a gallon of paint covers 110 square feet. What is an appropriate conversion factor to help determine h

saveliy_v [14]

Answer:

(1 gallon)/(100 ft^2)

Step-by-step explanation:

(1 gallon)/(100 ft^2) is a good conversion factor. We could also use (100 ft^2)/(1 gallon), but I like the first, since the calculation is simpler:

(300ft^2)*/(1 gallon)/(100 ft^2) = 3 gallons [I like multiplication better than division, and especially here, since 300/100 is 3, if my memory is correct.

8 0

2 years ago

автобус прошел 220 км за 27/7 часа.Сколько километров пройдет автобус за 54/7часа с той же скоростью?

egoroff_w [7]

Отвечать:

440 км

Пошаговое объяснение:

Учитывая, что :

Пройденное расстояние за 27/7 часов = 220 км

Расстояние, которое необходимо преодолеть за 54/7 часов, составит x

Следовательно, мы можем настроить перекрестное умножение:

27/7 = 220

54/7 = х

Крест умножить

27/7 х = 220 * 54/7

27x / 7 = 11880/7

3.8571428x = 1697.1428

х = 1697,1428 / 3,8571428

х = 439,99999

x = 440 км

Таким образом, за 54/7 часов будет преодолено расстояние 440 км.

4 0

2 years ago

The ratio of pineapple juice to sparkling water that Sylvia and her

Zarrin [17]

Answer:

Step-by-step explanation:

Pineapple:Sparkling water

3:2

A: It's proportional as for every 3 pineapple juice require 2 water no matter how big or small, the ratio stays the same.

B: 3 times as much punch, basically multiply by 3

3(3):2(3)

9:6 pineapple:water

2 (water) = 4 quarts 1=2 quarts

9(2)=18

B: 18 quarts

7 0

2 years ago

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48:11 Which graphed matches the equation + 6 = - «+4)?