How do you right 0.4 (repeating decimal) as a fraction in simplest form? Also could you do 0.21 (repeating decimal)

Mathematics

1 answer:

Dovator [93]3 years ago

4 0

0.4= 2/5 not sure what u mean by repeating decimal

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Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation.

alisha [4.7K]

<h2>Answer with explanation:</h2>

Let p be the population proportion.

Then, Null hypothesis : $H_0 : p=0.79$

Alternative hypothesis : $H_a : p>0.79$

Since the alternative hypothesis is right tailed , then the hypothesis test is a right tailed test.

Given : A random sample of 200 high school seniors from this city reveals that 162 plan to attend college.

i.e. n = 200 > 30 , so we use z-test (otherwise we use t-test.)

$\hat{p}=\dfrac{162}{200}=0.81$

Test statistic for population proportion :

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}$

$=\dfrac{0.81-0.79}{\sqrt{\dfrac{0.81(1-0.81)}{200}}}=0.720984093915\approx0.72$

Thus, the z-value of the sample test-statistic = 0.72

P-value for right tailed test = $P(z>0.72)=1-P(\leq0.72)$

$=1-0.7642375=0.2357625\approx0.2358$

Since the p-value is greater than the significance level (0.05) , so we fail to reject the null hypothesis.

Hence, we conclude that we do not have sufficient evidence to support the claim that the percentage has increased from that of previous studies.

8 0

2 years ago

YO please help actually been waiting for an hour and a half cuz so many trolls lol. <3 giivng brainliest, and ty in advance g

kati45 [8]

Hello!

For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.

This means that to find $x$ , we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.