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Feliz [49]
2 years ago
12

PLEASE HELP! GIVING POINTS!

Mathematics
1 answer:
Alex777 [14]2 years ago
6 0
4+4+3+3 because if you look to each corner there is 4 and on the other corner there is 3 and 3
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An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
Blank - 5.27 = 2.99<br> literally forgot how decimals work
bulgar [2K]

Answer:

8.26

Step-by-step explanation:

you can solve this by putting x for blank

x-5.27=2.99

solve for x

x-5.27+5.27=2.99+5.27

x=8.26

3 0
2 years ago
Read 2 more answers
When testing a claim that the mean head circumference for newborn American infants is greater than 35.8 centimeters a random sam
Mila [183]

Answer:

hi

Step-by-step explanation: first you type h then you type i then it makes hi

8 0
2 years ago
6500 is what percent of 32,500?
blagie [28]

i belive its 6500 is 20% of 32500


3 0
3 years ago
Read 2 more answers
A car travels at 15 m/s for 10 s. It then speeds up with a constant acceleration of 2.0 m/s2 for 15 s. At the end of this time,
jekas [21]
V o = 15 m/s,  a = 2 m/s²,  t = 15 s
v = v o + a · t
v = 15 m/s + 2 m/s² · 15 s = 15 m/s + 30 m/s = 45 m/s
Answer: A ) 45 m/s 
6 0
2 years ago
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