Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!

Answer:

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

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.

Mean 790 and standard deviation 92.

This means that [tex]\mu = 790, \sigma = 92[/tex]

Samples of 98

This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]

What is the probability that the mean number of eggs laid would differ from 790 by less than 30?

This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So

X = 820

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

By the Central Limit Theorem

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

[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = 3.23[/tex]

[tex]Z = 3.23[/tex] has a pvalue of 0.9994

X = 760

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

[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = -3.23[/tex]

[tex]Z = -3.23[/tex] has a pvalue of 0.0006

0.9994 - 0.0006 = 0.9988

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

Answer:

Mean = The numbers added up and divided by the number of numbers.

Step-by-step explanation:

= (13 + 8 + 9 + 6 + 10 + 8) / 6

= 54 / 6

= 9

The mean is 9.

Answer:

A mean in math is when you have a set of numbers, you add up all numbers of the set and then divide that sum by the total amount of numbers.

Example: 3,6,8,9

3+6+8+9=26

26/4 (because there is four numbers)

26/4= 6.5

So the mean of that set will be 6.5

Step-by-step explanation:

Answer:

74.13

6×10=60

A=pi r^2

3.14×3^2=28.26

28.26/2 =14.13 (because it is half a circle)

14.13+60=74.13

not sure if that is correct but that is what i got

Answer:

circumference =pi ×diameter

OR

pi × radius × 2

Answer:

[tex]x + {4x}^{2} [/tex]

Step-by-step explanation:

simplify by combining like terms

4x - 3x = x

[tex]3x ^{2} + {x}^{2} = {4x}^{2} [/tex]

we're left with

[tex]x + {4x}^{2} [/tex]

Answer:

4x²+x

Step-by-step explanation:

4x-3x+3x²+x²

4x minus 3x is x and 3x² +x² is 4x²

therefore,

4x²+x

Answer:

12

Step-by-step explanation:

Answer:

for 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube

Answer:

2.18ft

Step-by-step explanation:

what is the arc length of s in the figure below​

Length of the arc = theta/360 * 2πr

r is the radius = 1ft

theta = 125 degrees

Substitute into the formula

Length of the arc = 125/360 * 2(3.14)* 1

Length of the arc = 785/360

Length of the arc  = 2.18ft

Hence the length of the arc is 2.18ft

Answer:

80ab + 9b

Step-by-step explanation:

Step 1: 14 x 5 + 2ab x 5 + 4b x 2 + b

Then......

Multiple the numbers: 14 x 5 = 70

Step 2: = 70ab + 2 x 5ab + 4 x 2b + b

Then......

Multiple the numbers: 2 x 5 = 10

Step 3: = 70ab + 10ab + 4 x 2b + b

Then......

Multiple the numbers: 4 x 2 = 8

Step 4: = 70 ab + 10ab + 8b + b

Then......

Add similar elements: 70ab + 10ab = 80ab

Step 5: = 80ab + 8b + b

Then......

Add similar elements: 8b + b = 96

80ab + 9b

( I HOPE THIS HELPED!)

Answer: 7

Step-by-step explanation:

14*1=14

14/2=7

Answer:

x  y

0  2

1   5

Step-by-step explanation:

Answer:

Wesley's final balance in his checking account after these transactions is $598.78.

Step-by-step explanation:

792.38 - 58.62 + 50 - 120 - 64.98 = 598.78

Answer:

D. I and II

Step-by-step explanation:

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive. 

The solution is, sine is positive in,  D. I and II. Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

We are given to select the correct answer from the options provided.

The rule of signs for the trigonometric ratios in the four quadrants are as follows :

Quadrant I :    All the three ratios, tangent, sine and cosine are positive.

Quadrant II :   Only sine is positive, cosine and tangent are negative.

Quadrant III :  Only tangent is positive, sine and cosine are negative.

Quadrant IV :  Only cosine is positive, sine and tangent are negative.

so, we get,

In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

Therefore, using the above rules, we can say that the options (B), (C) and (A) are incorrect.

so, we have,

Option (D) is correct because, In the first quadrant (I), all ratios are positive. In the second quadrant (II), sine (and cosec) are positive.

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ7

Answer:

34

Step-by-step explanation:

Answer:

1E18 OR 10^18

Step-by-step explanation:

The formula is multiply the length by 1e+18

Answer:

9x + 4.5y if .5y is a decimal point, 9x + 9y if the dot is a typo

Step-by-step explanation:

If the dot is real,

7x + 3x + 4y - x + 0.5y

10x + 4y - x + 0.5y

10x - x + 4y + 0.5y

9x + 4.5y

If the dot is a typo,

7x + 3y + 4x - x + 5y

10x + 4y - x + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

the answer is 9x + 9y

7x + 3x + 4y - x + 5y

7x + 3x - x + 4y + 5y

10x - x + 4y + 5y

9x + 9y

Answer:

50  moons can fit inside Earth.

Step-by-step explanation:

The Volume of Earth is  

1.09 × 10 ^12

cubic kilometres

The Volume of The Moon is  

2.18 x 10^ 10

cubic kilometers

Hence the number of Moons that can fit in Earth is

Step-by-step explanation:

Answer:

d. 13^2 - 2^2

Step-by-step explanation:

The product of a sum and a difference is a difference of squares.

(13 + 2)(13 - 2) = 13^2 - 2^2

Answer: d. 13^2 - 2^2

Answer:

x = 3

Step-by-step explanation:

7x + 4 = 25

7x + 4 - 4 = 25 - 4

7x = 21

x = 3

Answer:

x = 3

Step-by-step explanation:

Hey! Hope this helps you!

Have a nice day <3

Answer:

मुझे गर्म गले पसंद है

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 has factors of 9 and 2 or 6 and 3

Those factors must differ by 3, so 6 and 3 in some order is your answer.

(x + 6) (x - 3) = r(x)

You have to make x a value that turns the factor into 0.

x + 6 = 0

x = - 6

x - 3 = 0

x =  3

So the zeros are (3,0) and (- 6,0)

Answer:

===================

Solved by graphing: x =~ 3.711448

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You can use a graphing calculator, or numerical

Answer:

8x, 2x^2, 6xy, 5y.

Step-by-step explanation:

Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.

Answer: $3,833.20

Step-by-step explanation:

Mortgages interest and property tax are both federal deductions so they will reduce taxes:

= 10,260 + 3,430

= $13,690

The tax saving is therefore:

= 13,690 * tax rate

= 13,690 * 28%

= $3,833.20

Answer: 4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

Answer: There’s nothing

Step-by-step explanation:

Answer:

3x^2

Step-by-step explanation:

the answer isssssssssssssssssssssssssss 3x^2.