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exis [7]
3 years ago
8

one taco supreme and two pan pizzas provide 3850 calories. Two taco supremes and one pan pizza provide 3770 calories . Find the

caloric content of each time .
Mathematics
1 answer:
Sedaia [141]3 years ago
4 0

Answer:

Taco supreme is 1230 calories

Pan pizza is 1310 calories

Step-by-step explanation:

Let's denote taco supreme as T and pan pizza az P. We have:

T+2*P = 3850 and 2*T + P = 3770

If we add the equations we get 3*T+3*P = 7620

3*(T+P) = 7620

T+P = 2540 => we can use T=2540-P

Back to one of the first equations we get 2540-P+2*P=3850

P=3850-2540= 1310

=>T= 2540-1310= 1230

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Answer:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀  =  37 %         P₀  = 0,37

sample size  =  n  =  100

P sample proportion   =   P  = 47 %        P  =  0,47

confidence interval  95 %

α  =   0,05  

One tail-test  (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀      null hypothesis                        P₀  =  0,37

Hₐ  alternative hypothesis                P₀  >  0,37

2.-Confidence interval 95 %

α  =   0,05        and    z(c)  =  1.64

3.-Compute of z(s)

z(s)  =  [  P  -  P₀  ]  /√(P₀Q₀/n) ]  

z(s)  =  [ (  0,47  -  0,37  ) /  √0.37*0,63/100

z(s)  = 0,1 /√0,2331/100     ⇒   z(s)  = 0,1 /0,048

z(s)  = 2.08

4.-Compare  z(s)   and  z(c)

z(s) > z(c)        2.08  > 1.64

5.-Decision:

z(s)  is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

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