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guapka [62]
3 years ago
13

For a school lunch menu they offer 12 combinations each day. Which of the following could describe the lunch options? Select all

that apply.
a. 6 kinds of pizza crust, 6 toppings
b. 1 appetizer, 4 main dishes, 3 side dishes
c. 2 appetizers, 6 main dishes, 1 dessert
d. 7 appetizers, 5 main dishes
e. 1 kind of pizza crust, 12 toppings

Explain your reasoning:
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0
It should be C. 2 appetizers, 6 main dishes, 1 dessert
it’s pretty much self explanatory
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The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what
harkovskaia [24]

Answer:

78.88%

Step-by-step explanation:

We have been given that

\mu=25,\sigma=4,x_1=20,x_2=30

The z-score formula is given by

z-\text{score}=\frac{x-\mu}{\sigma}

For x_1=20

z_1=\frac{20-25}{4}\\\\z_1=-1.25

For x_2=30

z_2=\frac{30-25}{4}\\\\z_2=1.25

Now, we find the corresponding probability from the standard z score table.

For the z score -1.25, we have the probability 0.1056

For the z score 1.25, we have the probability 0.8944

Therefore, the percent of the trees that are between 20 and 30 years old is given by

0.8944 - 0.1056

= 0.7888

=78.88%

6 0
3 years ago
Read 2 more answers
The accompanying data on x = current density (mA/cm2) and y = rate of deposition (m/min)μ appeared in a recent study.
gtnhenbr [62]

Answer:

a) r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

b) m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

Step-by-step explanation:

Part a

The correlation coeffcient is given by this formula:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=4 \sum x = 200, \sum y = 5.37, \sum xy = 333, \sum x^2 =12000, \sum y^2 =9.3501  

r=\frac{4(333)-(200)(5.37)}{\sqrt{[4(12000) -(200)^2][4(9.3501) -(5.37)^2]}}=0.9857  

The correlation coefficient for this case is very near to 1 so then we can ensure that we have linear correlation between the two variables

Part b

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=12000-\frac{200^2}{4}=2000  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=333-\frac{200*5.37}{4}=64.5  

And the slope would be:  

m=\frac{64.5}{2000}=0.03225  

Now we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{200}{4}=50  

\bar y= \frac{\sum y_i}{n}=\frac{5.37}{4}=1.3425  

And we can find the intercept using this:  

b=\bar y -m \bar x=1.3425-(0.03225*50)=-0.27  

So the line would be given by:  

y=0.3225 x -0.27  

4 0
3 years ago
Over the first five years of owning her car, Gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050
weeeeeb [17]
(12,200 + 16,211 + 12,050 + 11,350 + 13,325) / 5 = 65136/5 = 
13027.2 <== this is the mean (average)

11,350 , 12,050 , 12,200 , 13,325, 16,211
median (middle number) = 12,200

there is no mode...a mode is a number that appears most often...all the numbers appear once in this data.
4 0
4 years ago
Read 2 more answers
A cooler contains eleven bottles of sports drink: five lemon-line flavored and six orange flavored. You randomly grab a bottle a
Elenna [48]

Answer:

The probability that you would choose lemon-lime and then orange is 3/11 =.273.  

Step-by-step explanation:

These are 'dependent events', which mean that your the event is affected by previous events.  So, because you have eleven total bottles (five lemon-lime and six orange) and you do not replace the first bottle, that would only leave you with ten bottles remaining.  The probability that you will pick the lemon-lime on the first choice is 5/11 because all of the bottles are there.  However, your second choice will only include ten total bottles since you already took one.  The probability that you would choose orange would be 6/10.  When you multiply these two fractions and reduce to simplest form, you get 3/11.  


5 0
3 years ago
Please Help!! 10 Points! Brainliest Answer
Ivenika [448]
The correct answer is D because you already have one side and one angle that are equal so you need one more side
6 0
3 years ago
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