ONE of Michael's birds came out of the cage and flew away.
What is the probability that a yellow bird flew away?
Give your final answer as a decimal number.​

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

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

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.16

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

[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Answer: Honestly, they wouldn't really look at your clubs and attendance for sports for Middle School. They would most likely check for High School and beyond that.

I would just have fun while you can. Or try getting into a good High School with good academics scoring for a good chance to get selected to a dream college. Hope this help!

Edit: If there's programs for college- then try taking them! But I doubt it'll catch the eyes of those who look through college applications for how strict they are.

Answer:

you actually should its way better that you do because joining all the clubs they have in school can help YOU and your record.

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that [tex]a = 0.95, b = 1.05[/tex]

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

[tex]P(X > x) = 0.9[/tex]

So

[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]

[tex]1.05 - x = 0.9*0.1[/tex]

[tex]x = 1.05 - 0.9*0.1[/tex]

[tex]x = 0.96[/tex]

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Dijo "Resuelva las siguientes operaciones matemáticas en su cuaderno", pero no indicó su cuaderno en la pregunta. Por favor arregle esto.

Answer:

hello! As I think it is 2p coin but not sure

Answer:

D

Step-by-step explanation:

d

Answer:

[tex]\huge\boxed{\sf Rhombus}[/tex]

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

0.8

Step-by-step explanation:

0.4*2=0.8

hope this helps.

Answer:

Brainliest????

Step-by-step explanation:

X=23°

Answer:

4:7

Step-by-step explanation:

The word ACCOMPLISHMENT has 4 vowels (A, O, I, and E), which is where I got the four. It also has 7 consonants (C, C, M, P, L, S, H, M, N, T). Hence where the 7 was found.

Answer:

58

Step-by-step explanation:

hope it helps you ❣️

Answer:

10.25%

Step-by-step explanation:

Let the original number be represented with x.

Increase by 5% = 5% of x = 5/100 x X = 0.05x

So, the next number = x + 0.05x = 1.05x

Increase again by 5% = 5% of 1.05x = 5/100

x1.05x = 0.05 x 1.05x = 0.0525

So, the current number = 1.05x + 0.0525x =1.1025x

[tex] \frac{1.1025x - x}{x} = 0.1025 \times 100 = 10.25\%[/tex]

Answer:

c

Step-by-step explanation:

Answer:

is C guys

Step-by-step explanation:

Answer:

J = 2

Step-by-step explanation:

Volume formula: V = whl (width)(hight)(lenght)

solve for J (width)

Rearrange the formula:

w = V/lh

60/5 x 6 = 2

Answer:

6y = 12x + 36  is  x= 1 /2 y−3

15y = 45x + 60​   is  x= 1 /3 y+ −4 /3

Step-by-step explanation:

Answer:

Its 5,...................

Answer:

5

Step-by-step explanation:

simplify the exponent

35/8-1

simplify

35/7

simplify

5

Answer:

C [ -1 ,1 ]

.............

Answer: #1: 15/12 aka 1 3/12 #2: < #3 11/9 aka 9 2/11

Step-by-step explanation: Hope it helps ya

Since all sides of a square are the same, the area of a square is one side squared.

Meaning if a square had a side of 4, the area would be 16 since 4 squared is equal to 16.

The opposite is to square root the area. If you calculate the square root of 16, you get 4.

In this situation, we have to square root "[tex]25x^{2}[/tex]." We can split the area up into "25" and [tex]x^{2}[/tex]. The square root of 25 is 5, and the square root of x squared is just x. Multiply 5 and x together, you get 5x.

Easy as that, you get your answer!

5x

Answer:

38 remander 8

Step-by-step explanation:

Answer:

I think the answer is a I think

Step-by-step explanation:

[tex] \sqrt{26} is \: between 5.0and5.1[/tex]

Answer:

14.5

Step-by-step explanation:

I am smart

Answer:

18 memberships

Step-by-step explanation:

2x+7=43

I think this is the equation but I'm trying to help

Answer:

the boa is longer

Step-by-step explanation:

Answer:

the boa

Step-by-step explanation:

3 Meters,100 cetimeters to a meter so 196 is inder 20 meters.Hope thos helped

Answer:

The answer is option B. 240

Answer:

x=-1

Step-by-step explanation:

(15-6+12+x ) / 4 = 5

20 = 27-6+x

20=21+x

x=-1