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kifflom [539]
3 years ago
7

Sheila eats 3/4 of a bag of carrots each week, how many bags of baby carrots does she eat in 6 weeks? Write in simplest form

Mathematics
2 answers:
Alla [95]3 years ago
8 0
3/4 x 6 = 18/4 = 4 1/2 

she eats 4 1/2 bags of carrots in 6 weeks
liq [111]3 years ago
7 0
She eats 3/4 of a bag each week, and you are asked to find how much she eats in 6 weeks. You would multiply 3/4 by 6, which gets you 9/2, but that is not simplified. You can put 2 into 9 4 times, and still get a leftover of 1. In that case, your answer will be 4 1/2. The complete answer is: Sheila eats 4 and a half bags of carrots in 6 weeks.
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In a recent year, the ACT scores for the math portion of the test were normally distributed, with a mean of 21.1 and a standard
Natali5045456 [20]

Answer:

a) P(X

And we can find this probability using the normal standard table or excel:

P(z

b) P(19

And we can find this probability with this difference:

P(-0.396

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

P(-0.396

c) P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.925)=1- P(Z

d) We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

A value below 10.5 can be consider as unusual

Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7

A value abovr 31.7 can be consider as unusual

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 scores of a population, and for this case we know the distribution for X is given by:

X \sim N(21.1,5.3)  

Where \mu=21.1 and \sigma=5.3

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 using the normal standard table or excel:

P(z

Part b

P(19

And we can find this probability with this difference:

P(-0.396

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

P(-0.396

Part c

P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.925)=1- P(Z

Part d

We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

A value below 10.5 can be consider as unusual

Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7

A value abovr 31.7 can be consider as unusual

6 0
3 years ago
Find the number missing from the following equivalent fractions: 12/16= 3/?
fomenos

Answer:

4

Step-by-step explanation:

Whatever you multiply or divide to the numerator, you do to he denominator.

Here, 12 was divided by 4 to obtain 3 in the other fraction. So, the missing number has to be 16 divided by 4, which gives 4

3 0
3 years ago
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A toy company intends to ship out its entire stock of 10,254 toy trucks, and three times as many toy cars. If each box holds 35
svetoff [14.1K]
There are 10,254 toy trucks

and 10,254 * 3 = 30,762 toy cars.

In total, there are 10,254+30,762= 41,016 toys 

when we divide 41,016 by 35, the quotient is the number of the full boxes, and the remainder is the number of toys left.

41,016=35*1171+31


Answer: 1171 full boxes, 31 toys left for the last box
6 0
3 years ago
Find an equation of the line perpendicular to y = -1/2x – 3 that crosses the point
alisha [4.7K]

Answer:

<em>y = 2x + 4 </em>

Step-by-step explanation:

y = - \frac{1}{2} x - 3

Slope of perpendicular line is "2"

( - 3 , - 2 )

y + 2 = 2( x + 3 )

<em>y = 2x + 4</em>

6 0
3 years ago
The table below shows the number of miles Maggie ran and the number of calories she burned.
gulaghasi [49]

Answer:

The dependent variable is number of calories burnt.

Step-by-step explanation:

The dependent variable of an experiment is the variable under study, i.e. it is the variable that is being observed for any changes, when the other variables are changed.

The independent variable is the variable that is being altered to observe the changes in the dependent variable.

A dependent variable can be affected by one or more than one independent variables.

In this case, the data provided represents the number of calories Maggie burned based on the number of miles she ran.

So, the amount of calories burnt is dependent upon the number of miles covered running.

So, the dependent variable is the number of calories burnt and the independent variable is the number of miles she run.

Thus, the dependent variable is number of calories burnt.

4 0
3 years ago
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