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kolbaska11 [484]
3 years ago
8

If you make random guesses for 6 multiple-choice test questions (each with five possinle answers), what is the probability of ge

tting the final question correct given the first five answers are all wrong?
Mathematics
2 answers:
Sergio039 [100]3 years ago
6 0

What happened in the first questions doesn't influence the final question, so the probability is simply 1/5 = 0.2

Leni [432]3 years ago
4 0

39.31 percent

use binomial Cdf on your calculator.

insert it like such:

num trials: 6

prob: .2

Lower bound: 1

Lower bound: 2

then click enter :)

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sweet t has 2 orange picks for every 5 green. I f there are 21 picks in all, how many picks are orange?
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8 0
3 years ago
Read 2 more answers
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 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

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

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

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
I need help pls is only 1 question
Yanka [14]

Answer:

T = 1300

Step-by-step explanation:

Given

Radius, r = 9\ in

Height, h = 14\ in

<em>See attachment</em>

<em></em>

Required

Determine the total surface area, T

T is calculated using:

T = 2\pi r(r + h)

Substitute values for r and h

T = 2\pi  * 9(9 + 14)

T = 2\pi  * 9(23)

Remove bracket

T = 2\pi  * 9*23

T = 2\pi  * 207

Take \pi = 3.14

So, we have:

T = 2 * 3.14 * 207

T = 1299.96

T = 1300 --- approximated.

<em>Hence, the surface area is 1300 square inch</em>

4 0
2 years ago
joe is in debt $250, but he's saving $30 each month. using the equation, y=30x-250, how long will it take joe to have $230?
Vsevolod [243]

Answer:

16

Step-by-step explanation:

so in this equation we have 2 variables, and we must figure out what those variables mean:

y: "y" is the total amount of money joe has after subtracting his debt from it

x: "x" is the # of months as the cost of each month(30) is placed just before this variable

as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money

230=30x-250

480=30x

x=16

it took joe 16 months to get $230

3 0
3 years ago
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