Answer:
The probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
![\mu_{\hat p}=p](https://tex.z-dn.net/?f=%5Cmu_%7B%5Chat%20p%7D%3Dp)
The standard deviation of this sampling distribution of sample proportion is:
![\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=%5Csigma_%7B%5Chat%20p%7D%3D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
The information provided is:
<em>p</em> = 0.32
<em>n</em> = 250
Since the sample size is quite large, i.e. <em>n</em> = 250 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
Compute the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much as follows:
![P(\hat p>0.35)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.35-0.32}{\sqrt{\frac{0.32(1-0.32)}{250}}})](https://tex.z-dn.net/?f=P%28%5Chat%20p%3E0.35%29%3DP%28%5Cfrac%7B%5Chat%20p-%5Cmu_%7B%5Chat%20p%7D%7D%7B%5Csigma_%7B%5Chat%20p%7D%7D%3E%5Cfrac%7B0.35-0.32%7D%7B%5Csqrt%7B%5Cfrac%7B0.32%281-0.32%29%7D%7B250%7D%7D%7D%29)
![=P(Z>1.02)\\=1-P(Z](https://tex.z-dn.net/?f=%3DP%28Z%3E1.02%29%5C%5C%3D1-P%28Z%3C1.02%29%5C%5C%3D1-0.84614%5C%5C%3D0.15386%5C%5C%5Capprox%200.1539)
Thus, the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.
This triangle seems like A) Scalene Acute. Brainliest meeeee!
Answer:
7/8 > 3/4
Step-by-step explanation:
Find a common denominator first and here it is 8. To get 3/4 to 8ths, you multiply the numerator and denominator by 2 to get 6/8 and 7/8 is greater
The coefficient (letter chosen) that is used does not matter as it is only to show that it is an unknown variable, if you have more than one variable you need more than one type of coefficient (use different letters for different ones you dont know).
X=2
Answer:
Both cards would have equal value when both have purchased 2 Pizzas each
Step-by-step explanation:
since the number of pizzas purchased is X
70-(20*X) =X*15
-20X-15X=-70
-35X = -70
X =2