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3 years ago

13

The weights of bags of ready-to-eat salad are normally distributed with a mean of 300 grams and a standard deviation of 9 grams.

What percent of the bags weigh less than 282 grams? 2.5% 5% 13.5% 34%

1 answer:

mestny [16]3 years ago

8 0

Answer: 2.5% of the bags weigh less than 282 grams.

Step-by-step explanation: Just took the test and this was the correct answer! :)

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Which is the longer length 29ft or 9 yards

andreev551 [17]

Convert 9 yards into feet: 9 yards * (3 feet) / (1 yard) simplifies to 27 feet.

9 yards, or 27 feet, is shorter than 29 feet.

29 feet is longer than 27 feet.

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3 years ago

A consensus forecast is the average of a large number of individual analysts' forecasts. Suppose the individual forecasts for a

zaharov [31]

Answer:

a) $P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

b) $P(X$

And we can find this probability uing the normal standard table:

$P(z$

c) $P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(5,1.2)$

Where $\mu=5$ and $\sigma=1.2$

We are interested on this probability

$P(X>3.5)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>3.5)=P(\frac{X-\mu}{\sigma}>\frac{3.5-\mu}{\sigma})=P(Z>\frac{3.5-5}{1.2})=P(z>-1.25)$

And we can find this probability using the complement rule:

$P(z>-1.25)=1-P(z$

Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability uing the normal standard table:

$P(z$

Part c

$P(3.5$

And we can find this probability with this difference:

$P(-1.25$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(-1.25$

3 0

3 years ago

find the slope of the line on the graph write your answer as a whole number or a fraction not a mixed number or decimal

alekssr [168]

Answer: 3/4

Step-by-step explanation:

7 0

2 years ago

Tìm x<br> a) (x+3)²+(x-2)²=2x²

natta225 [31]

The answer is 7 because x+3 is 10. Hope this helped

3 0

3 years ago

A Family purchased tickets to the movies in spent a total of $40.75. The family purchase five tickets there was a $.90 processi

muminat

Answer:

$7.25

Step-by-step explanation:

Total amount spent on the ticket = $40.75

Number of ticket purchased = 5

Processing fee per ticket = $0.90

Unknown:

Cost of each ticket = ?

Solution:

To solve this problem, we need to find the processing fee for the 5 tickets purchase;

Processing fee = number ticket x processing fee per ticket

Processing fee = 5 x 0.9 = $4.5

Now, the real cost a ticket = $40.75 - $4.5 = $36.25

So, cost per ticket is;

Cost = $\frac{36.25}{5}$ = $7.25

7 0

3 years ago