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ANEK [815]
2 years ago
10

A company sells a dried fruit mixture for $5 per pound. To make the mixture, banana chips that cost

Mathematics
1 answer:
ELEN [110]2 years ago
6 0

Answer:

  2.5 pounds

Step-by-step explanation:

Let s represent the number of pounds of dried strawberries that should be added to the bananas. The total cost of the mixture will be ...

  (2.50)(3) +(8.00)(s) = (5.00)(3 +s)

  7.50 +8s = 15 +5s . . . . . . . eliminate parentheses

  3s = 7.50 . . . . . . . . . subtract 7.50+5s

  s = 2.50 . . . . . . divide by 3

2.5 pounds of dried strawberries should be added to make the mixture.

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The government of Preon (a small island nation) was voted in at the last election with 58% of the votes. That was 2 years ago, a
mel-nik [20]

Answer:

a) z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

b) p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

Step-by-step explanation:

Data given and notation

n=114 represent the random sample taken

\hat p=0.684 estimated proportion of people that their approval rating might have changed

p_o=0.58 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Hypothesis

We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:  

Null hypothesis:p=0.58  

Alternative hypothesis:p \neq 0.58  

Part a

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.684 -0.58}{\sqrt{\frac{0.58(1-0.58)}{114}}}=2.250  

Part b: Statistical decision  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.250)=0.0244  

If we compare the p value and the significance level given we see that p_v we have enough evidence to reject the null hypothesis at 5% of significance.

7 0
3 years ago
Simplify -3(4w-3) using the distributive property
Anton [14]

Answer:

Step-by-step explanation:

hello :

-3(4w-3)= - 12w+9

5 0
3 years ago
A small bag has a penny, a nickel, a dime, and a quarter. A child chooses 2 coins from the bag at random. What is the probabilit
Natalija [7]

Answer:

Once

Step-by-step explanation:

5 0
3 years ago
En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones ref
Anon25 [30]

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

8 0
3 years ago
What are the coordinates of point R?​
Klio2033 [76]

Answer:

The last one (-1,5)

Step-by-step explanation:

From (0,0), the R coordinate is one to the left meaning the x is negative and five up which means the y is positive 5 so... (-1,5) is the new location of R.

8 0
3 years ago
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