PLZ HELP ME I BEG OF YOU???

Answer:

0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal probability distribution:

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question:

Proportion [tex]p = 0.2[/tex], sample of [tex]n = 81[/tex]. So

[tex]\mu = p = 0.2[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{81}} = 0.0444[/tex]

Approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Probability of the sampled proportion being between 0.2 - 0.02 = 0.18 and 0.2 + 0.02 = 0.22, which is the pvalue of Z when X = 0.22 subtracted by the pvalue of Z when X = 0.18. So

X = 0.22

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.2}{0.044}[/tex]

[tex]Z = 0.45[/tex]

[tex]Z = 0.45[/tex] has a pvalue of 0.6736

X = 0.18

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.18 - 0.2}{0.044}[/tex]

[tex]Z = -0.45[/tex]

[tex]Z = -0.45[/tex] has a pvalue of 0.3264

0.6736 - 0.3264 = 0.3472 = 34.72% probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.02.

Answer:

2

Step-by-step explanation:

Answer:it. Actually 0

Step-by-step explanation:

Answer:

Each friend will receive 210.5 dollars.

Step-by-step explanation:

Total Amount Tyion has = 4,000 dollars

He wants to share evenly with 19 friends.

We need to find How much would amount each friend will receive.

We can found it by using formula:

Amount each friend received = Total Amount / Number of friends

Putting values in the formula and finding results:

Amount each friend received = 4000/19

Amount each friend received = 210.5 dollars

So, each friend will receive 210.5 dollars.

Answer: it’s the one you already but the orange dot on

Step-by-step explanation:

Answer:

Its C.

Step-by-step explanation:

Using mental math you can do 1/4th= 25

and 25*4 is 100. so henceforth its C.

Answer:

5/6

25/30

Step-by-step explanation:

Answer:

32.08% = 401/1250

Step-by-step explanation:

Answer:

The answer is 35.2

Answer:

2 staircases

Step-by-step explanation:

3 : 36

1 : 12

2 : 24

If katie can build three staircases to make 36 obstacles against the other player. Then 2 staircases will she need to make 24 obstacles

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

katie can build three staircases to make 36 obstacles against the other player

We need to find the number of staircases she need to make 24 obstacles.

Let us form a proportional relationship.

Consider x as the number of staircases will she need to make 24 obstacles

3/36=x/24

Apply cross multiplication

3×24=36x

72=36x

Divide both sides by 36

x=2

Hence Katie should have 2 staircases to make 24 obstacles.

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Answer:

Number 1 does not represent a function because it does not pass the Vertical Line Test.

Number 2 does not represent a function because it does not pass the Vertical Line Test.

Answer:

B. Write each student's name on a slip of paper and put the slips in a bag. Randomly draw a slip of paper. The student whose name is on the paper wins

Answer:

A. Roll a number cube. If it lands on 1 or 3, Alina wins. If it lands on 2  or 4, Robert wins. If it lands on 5 or 6, Makayla wins.

B. Write each student's name on a slip of paper and put the slips in a

bag. Randomly draw a slip of paper. The student whose name is

on the paper wins.

Step-by-step explanation:

Answer:

None of the Above

Step-by-step explanation:

10 - Not Prime

11 - Prime

12 - Not Prime

13 - Prime

14 - Not Prime

15 - Not Prime

16 - Not Prime

17 - Prime

18 - Not Prime

19 - Prime

6 numbers NOT PRIME

4 numbers PRIME

4 - 3 = 1

1 + 6 = 7

1/7

Answer:

She will jog and lift weights on the same day in 10 days

Step-by-step explanation:

To find when two events will happen on the same day, we find the least common multiple(that is not 0) of their frequencies.

In this question:

Every two days she jogs

Every 5 days she lifts.

Multiples of 2: {0, 2, 4, 6, 8, 10, 12, ...}

Multipled of 5: {0, 5, 10, 15, ...}

The least common multiple is 10, so:

She will jog and lift weights on the same day in 10 days

Answer:

I think its b not sure Bc I am only in 8th grade

Answer:

[tex]p=\frac{8}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{4} = \frac{4}{p} - 3[/tex]

[tex]\frac{1}{2} = \frac{4}{p} - 3[/tex] (simplify)

[tex]\frac{1}{2}+3 = \frac{4}{p} - 3+3[/tex]

[tex]\frac{1}{2}+3 = \frac{4}{p}[/tex] (Add 3 to both sides)

[tex]\frac{7}{2}= \frac{4}{p}[/tex] (simplify)

[tex]\frac{7}{2}p= \frac{4}{p}*p[/tex]

[tex]\frac{7p}{2}=4[/tex] (Multiply both sides by p)

[tex]\frac{7p}{2}*2=4*2[/tex]

[tex]7p=8[/tex] (Multiply both sides by 2)

[tex]\frac{7p}{7}=\frac{8}{7}[/tex]

[tex]p=\frac{8}{7}[/tex] (Divide both sides by 7)

Answer:

9 yards 1 foot 2 inches

Step-by-step explanation:

90inches=2.5 yards

3.5 yards

10.5 ft=3.5 feet

2.5+3.5=6 yards

6+3.5 ft=9.5 yards

9 yards  1 foot 2 inches

took me forever to write this

Answer:

342 inches, 28.5 feet, 9.5 yards.

Step-by-step explanation:

The conversion rates you need to know are as follows:

1 foot = 12 inches

1 yard = 3 feet

Because there are 3 feet in a yard, we know that there must be are 36 inches in a yard. First, we find how many inches are in 10.5 feet and 3.5 yards. This would be 10.5 * 12 resulting in 126 inches. Also, 3.5 yards as we know is 36 inches so we do 3.5 * 36 which results again in 126. Finding the sum (126 + 126 + 90) we can see that this ribbon is 342 inches long. To find feet we divide this by 12. To find yards, we divide it by 36.

Answer:

i think its b

Answer: -3

Step-by-step explanation:

3−4−4+2

−1−4+2

−5+2 =-3

Answer:

-3

Step-by-step explanation:

The conditional probability P(Cow | 2 legs) is 0.

We have,

To find the conditional probability of selecting a cow given that the animal has 2 legs, we need to determine the number of 2-legged animals and the number of cows with 2 legs.

From the given information, we know that cows have 4 legs.

The probability of selecting a cow with 2 legs is 0, since cows do not have 2 legs.

Thus,

The conditional probability P(Cow | 2 legs) is 0.

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Answer:

the 2nd

Step-by-step explanation:

Answer:

There will be $634.05 in the account.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

$390 in an account paying an interest rate of 2.7% compounded daily.

This means that [tex]P = 390, r = 0.027, n = 365[/tex]

Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 18 years?

This is A(18). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(18) = 390(1 + \frac{0.027}{365})^{365*18}[/tex]

[tex]A(18) = 634.05[/tex]

There will be $634.05 in the account.

Answer: NEED PICTURE TO ANSWER, we dont know if it a square or if its a rectangle, sry

Step-by-step explanation:

Answer:

E,F,C

Step-by-step explanation:

Answer:

Your doing a practice SAT test... thats nice I have already done that and the practice ACT testing... im only 13 :)

Princeton here i come! :D

Step-by-step explanation:

Answer:

me, what's the question so I can see how to figure out the answer

Answer:

7

Step-by-step explanation: