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Molodets [167]
1 year ago
8

n a 12 ounce bag of trail mix you notice that there are 18 M&Ms. You now purchase a 20 ounce bag of trail mix. How many M&am

p;Ms would you expect to find?
Mathematics
1 answer:
Maslowich1 year ago
6 0

30 M&Ms

1) Gathering the data

12-ounce bag of trail mix = 18 M&Ms

20-ounce bag=?

2) Assuming that the M&Ms are placed in following a constant rate we can write the following proportion:

12 --------------- 18

20 --------------- y

<em>Cross multiplying it due to the first property of proportions</em>

<em />

12y =20 x 18

12y = 360

y=30

3) So, I'd expect to find 30 M&Ms at a 20-ounce bag of trail mix.

You might be interested in
A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

Since is a one right tailed test the p value would be:  

p_v =P(z>1.768)=0.039  

6 0
3 years ago
Which is greater 3 decimeters or 30 centimeters
MatroZZZ [7]
One decimeter equals 10 centimeters. So 3 decimeters equals 30 centimeters. They are equal.
3 0
3 years ago
The formula is m=4a+2c where c is the number of children, m=the number of meatballs, a=number of adults.
Trava [24]

Answer:

110

Step-by-step explanation:

m = 4a + 2c

a = 25, c = 5

m = 4(25) + 2(5)

m = 100 + 10

m = 110 meatballs

6 0
3 years ago
Who is farthest from the school
postnew [5]

Using the law of cosines:

The grocery store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(100)

Distance = 13.16 miles


The movie store to the school:

Distance = √(7^2 + 10^2 - 2*7*10*cos(120)

Distance = 14.80 miles


The friend is further away.

7 0
3 years ago
Hi
Alona [7]
You’re absolutely amazing and I really appreciate that you’re trying to help others! And if you need anything yourself please feel free to ask :)
5 0
3 years ago
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