A company that produces fine crystal knows from experience that 17% of its goblets have cosmetic flaws and must be classified as "seconds." (Round your answers to four decimal places.)(a)Among seven randomly selected goblets, how likely is it that only one is a second

Answers

Answer 1

Answer:

0.3891 = 38.91% probability that only one is a second

Step-by-step explanation:

For each globet, there are only two possible outcoes. Either they have cosmetic flaws, or they do not. The probability of a goblet having a cosmetic flaw is independent of other globets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

17% of its goblets have cosmetic flaws and must be classified as "seconds."

This means that [tex]p = 0.17[/tex]

Among seven randomly selected goblets, how likely is it that only one is a second

This is P(X = 1) when n = 7. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{7,1}.(0.17)^{1}.(0.83)^{6} = 0.3891[/tex]

0.3891 = 38.91% probability that only one is a second


Related Questions

Solve the equation.
6.35 + b = 9.89

Answers

Answer:

b=3.54

Step-by-step explanation:

9.89-6.35=3.54

Answer: b=3.54

Step-by-step explanation:

Subtract 6.35 from both sides and you will get that b=9.89-6.35 solve that and you will get that b= 3.54.

Select the most important variables and expressions the park owners should consider as they decide whether to add another roller coaster

Answers

Answer:

The park owners should take into account the population of children in the community, if there are a good number of kids living in that area and the towns nearby - there would be a great demand for another roller coaster. They should consider the safety measures on the particular roller coaster they intend to add and check for the available space where they plan to fit the ride in the park.

Hope that answers the question, have a great day!

A farmer plants corn in of his field. He plants white corn in of the corn

section of his field. This situation is shown in the model. What fraction of the

whole field is planted with white corn?

Answers

Answer:

3/20

Question:

A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn

section of his field. This situation is shown in the model. What fraction of the whole field is planted with white corn

Step-by-step explanation:

Portion of the field planted with corn = 1/4

Total corn planted = 1/4 of field

Portion of the corn section planted with white corn = 3/5

Total white corn planted = 3/5 of corn section

We need to find the portion of the total field planted with white corn

The fraction of the whole field planted with white corn would be the product of the fraction of Total corn planted and fraction of Total white corn planted

= 1/4 × 3/5

= 3/20

The fraction of the whole field planted with white corn = 3/20

FIND THE SMALLEST ANGLE IN THE TRIANGLE! PLEASE HELP!! 25 POINTS!!

Answers

From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side [tex]\overline{AC},[/tex] so our answer is [tex]\boxed{\angle B}.[/tex]

As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:

[tex]5^2=6^2+7^2-2(6)(7)\cos B[/tex]

[tex]\cos B=\frac{5}{7}\implies\angle B\approx\boxed{44.4^\circ}.[/tex]

Answer:

Smallest Angle in the triangle is angle c.

1. Determine a rule that could be used to explain how the volume of a

Cylinder or cone is affected when the radius is multiplied by a positive

number.

Answers

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  [tex]V_c = \pi *r^2*h[/tex]

- Similarly, the volume of cone ( V_c ) is represented by:

                                  [tex]V_c = \frac{1}{3}*\pi *r^2 * h[/tex]

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  [tex]V = C*r^2[/tex]

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                [tex]V = C*(a*r)^2\\\\V = C*a^2*r^2[/tex]

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              [tex]V = (\frac{1}{3} \pi *r^2*h)*a^2[/tex]

                                          &

                              [tex]V = ( \pi *r^2*h)*a^2[/tex]

If the angles are represented in degrees, find both angles: \cos(3x+13)=\sin(2x+42) cos(3x+13)=sin(2x+42)

Answers

Answer:

cos34°

sin56°

Step-by-step explanation:

Sin(2x+42)= sin90-(3x+13)

Sin(2x+42) = sin(90-13-3x)

Sin(2x+42) = sin(77-3x)

2x + 42 = 77-3x

5x. = 35

X = 7

If x = 7

cos(3x+13) = cos((3*7)+13)

cos(3x+13) = cos(21+13)

cos(3x+13)= cos34

And

sin(2x+42) = sin((2*7)+42)

sin(2x+42)= sin (14+42)

sin(2x+42) = sin56

Write this number in expanded notation 2,930,365

Answers

Answer:

2,000,000+900,000+30,000+300+60+5

Step-by-step explanation:

hope this helps and Please Rate brainliest!!!

What is the scale factor of the dilation?
1/8.... 1/4..... 4.... 8...?

Answers

Answer:

4

Step-by-step explanation:

When parallelogram FGHJ is dilated and translated to similar parallelogram F'G'H'J', the scale factor of dilation is 4.

What is dilation?

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As visible,

FG = GH = JH = FJ = 2 units

F'G' = G'H' = J'H' = F'J' = 8 units

Scale factor of Dilation = 8/2 = 4 units

Learn more about dilation here

https://brainly.com/question/13176891

#SPJ2

the sum of three consecutive odd numbers is 51​

Answers

51 divided by three is 17 and 17 is an odd number. So 17 + 17 + 17= 51

Hope this helps ya

Answer:

the answer for the question is 25 and 26

Based on the family the graph below belongs to, which equation could represent the graph? image below.

Answers

Answer:

y = 1/x+2 + 3

Step-by-step explanation:

x = -2

y = 3

What is 10 times larger than the 7 in this number 16372

Answers

Answer:

700

Step-by-step explanation:

I am slightly confused by your wording, but Im assuming you mean the expanded form.

In the base ten system, the second to last digit is the tens place. Therefore, the 7 represents 7*10 = 70

10 times larger than 70 is 700

Which is the area of a square with one side that measures 1 foot?

A) 1 square inch
B) 100 square inches
C) 144 square inches
D) none of the above

Answers

None of the above so D

Find the five-number summary for the data.
{238, 213, 223, 212, 225, 233, 230, 239, 223, 207, 219,
217, 234, 204, 212, 242}
A. 204, 212.5, 223, 233.5, 242
B. 204, 212, 223, 233, 239
OC. 204, 212, 219, 233, 242
OD. 207, 212, 223, 234, 239

Answers

Answer:

The correct option is A. 204, 212.5, 223, 233.5, 242.

Step-by-step explanation:

The five number summary of a data set is:

Minimum First Quartile Median  Third Quartile Maximum.

The data provided, in ascending order is:

S = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 , 223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

There are a total of 16 values in the data set.

The minimum value is,

Minimum = 204

The first quartile is the median value of the first half of the data.

The first half of the data is:

S₁ = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 }

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{1}=\frac{4^{th}+5^{th}}{2}=\frac{212+213}{2}=212.5[/tex]

The first quartile is 212.5.

The median for even number of observations is the mean of the middle two values.

[tex]\text{Median}=\frac{8^{th}+9^{th}}{2}=\frac{223+223}{2}=223[/tex]

The median of the data is 223.

The third quartile is the median value of the second half of the data.

The first half of the data is:

S₂ = {223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{3}=\frac{12^{th}+13^{th}}{2}=\frac{233+234}{2}=233.5[/tex]

The third quartile is 233.5.

The maximum value is,

Maximum = 242

g(x) = -4x + 5, find g(5).

Answers

Answer:

-15

Step-by-step explanation:

g(x) = -4x + 5, find g(5)

Let x = 5

g(5) = -4*5 +5

      = -20 +5

     = -15

Evaluate: 2a + 4b when a = 10 & b = 6



A: 20

B: 4

C: 44

D:24

Answers

Answer: Option C: 44

Step-by-step explanation:

so, here we have the equation:

H(a,b) = 2a + 4b

"evaluate" means change the values of the variables for specific values, here we must replace the "a" for 10, and the "b" for a 6.

So we have:

H(10, 6) = 2*10 + 4*6 = 20 + 24 = 44

What is the measure of angle 1 in the diagram below?*
D
18°
A
B
120°
E

Answers

Answer:

123

Step-by-step explanation:

Is
1x7x6x7x89x7x33x188+4444-82x77x9999= 1073207806

Answers

Answer:

Yes

Step-by-step explanation:

Simplify the following:

1×7×6×7×89×7×33×188 + 4444 - 82×77×9999

1×7 = 7:

7×6×7×89×7×33×188 + 4444 - 82×77×9999

7×6 = 42:

42×7×89×7×33×188 + 4444 - 82×77×9999

42×7 = 294:

294×89×7×33×188 + 4444 - 82×77×9999

| | 2 | 9 | 4

× | | | 8 | 9

| 2 | 6 | 4 | 6

2 | 3 | 5 | 2 | 0

2 | 6 | 1 | 6 | 6:

26166×7×33×188 + 4444 - 82×77×9999

26166×7 = 183162:

183162×33×188 + 4444 - 82×77×9999

| 1 | 8 | 3 | 1 | 6 | 2

× | | | | | 3 | 3

| 5 | 4 | 9 | 4 | 8 | 6

5 | 4 | 9 | 4 | 8 | 6 | 0

6 | 0 | 4 | 4 | 3 | 4 | 6:

6044346×188 + 4444 - 82×77×9999

| | | 6 | 0 | 4 | 4 | 3 | 4 | 6

× | | | | | | | 1 | 8 | 8

| | 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8

| 4 | 8 | 3 | 5 | 4 | 7 | 6 | 8 | 0

| 6 | 0 | 4 | 4 | 3 | 4 | 6 | 0 | 0

1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8:

1136337048 + 4444 - 82×77×9999

| | 8 | 2

× | | 7 | 7

| 5 | 7 | 4

5 | 7 | 4 | 0

6 | 3 | 1 | 4:

1136337048 + 4444 + -6314×9999

| | | | 9 | 9 | 9 | 9

× | | | | 6 | 3 | 1 | 4

| | | 3 | 9 | 9 | 9 | 6

| | | 9 | 9 | 9 | 9 | 0

| 2 | 9 | 9 | 9 | 7 | 0 | 0

5 | 9 | 9 | 9 | 4 | 0 | 0 | 0

6 | 3 | 1 | 3 | 3 | 6 | 8 | 6:

1136337048 + 4444 + -63133686

| | | | | | 1 | | | 1 |  

| 1 | 1 | 3 | 6 | 3 | 3 | 7 | 0 | 4 | 8

+ | | | | | | | 4 | 4 | 4 | 4

| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2:

1136341492 - 63133686

| | | | | | | 10 | | |  

| | 0 | 13 | | | 3 | 0 | 14 | 8 | 12

| 1 | 1 | 3 | 6 | 3 | 4 | 1 | 4 | 9 | 2

- | | | 6 | 3 | 1 | 3 | 3 | 6 | 8 | 6

| 1 | 0 | 7 | 3 | 2 | 0 | 7 | 8 | 0 | 6:

Answer: 1,073,207,806

Answer:

4.6570394e+12

Step-by-step explanation:

1. 1x7=7

2. 7x6=42

3. 42x7=294

4. 294x89=26166

5. 26166x7=183162

6. 183162x33=6044346

7. 6044346+4444=6048790

8. 6048790-82=6048708

9. 6048708x77=465750516

10. 465750516x9999=4.6570394e+12

is it possible for a triangle to have the side lengths of 3, 8, and 13​

Answers

Answer:

No

Step-by-step explanation:

The longest side of a triangle must be less than the sum of the shorter two sides.

3 + 8 = 11.  13 is not less than 11.  So it is not possible for a triangle to have these sides.

A particle moves on a straight line and has acceleration a(t)=24t+2. Its position at time t=0 is s(0)=3 and its velocity at time t=0 is v(0)=13. What is its position at time t=5?

Answers

Answer:

It's position at time t = 5 is 593.

Step-by-step explanation:

The velocity v(t) is the integral of the acceleration a(t)

The position s(t) is the integral of the velocity v(t)

We have that:

The acceleration is:

[tex]a(t) = 24t + 2[/tex]

Velocity:

[tex]v(t) = \int {a(t)} \, dt = \int {24t + 2} \, dt = 12t^{2} + 2t + K[/tex]

K is the initial velocity, that is v(0). Since V(0) = 13, K = 13

Then

[tex]v(t) = 12t^{2} + 2t + 13[/tex]

Position:

[tex]s(t) = \int {s(t)} \, dt = \int {12t^{2} + 2t + 13} \, dt = 4t^{3} + t^{2} + 13t + K[/tex]

Since s(0) = 3

[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]

What is its position at time t=5?

This is s(5).

[tex]s(t) = 4t^{3} + t^{2} + 13t + 3[/tex]

[tex]s(5) = 4*5^{3} + 5^{2} + 13*5 + 3[/tex]

[tex]s(5) = 593[/tex]

It's position at time t = 5 is 593.

Express the following number in scientific notation. 46,000,000 = _____ 4.6000 x 10 7 4.6 x 10 7 4.600 x 10 7 0.460 x 10 6

Answers

Answer:

4.6 x 10^7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.

Answers

Answer:

[tex] y = -\dfrac{1}{28}x + 15 [/tex]

Step-by-step explanation:

The car uses 15 gallons of gasoline to drive 420 miles.

(15 gal)/(420 mi) = 1/28 gal/mi

The car uses 1/28 gallon of gasoline per mile.

y = mx + b

When x = 0, at the start of the drive, the car has 15 gallons of gasoline.

y = mx + 15

Then for every mile it travels, the amount  of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.

[tex] y = -\dfrac{1}{28}x + 15 [/tex]

Tiffany needs to rent a car while on vacation. The rental company charges $18.95, plus 17 cents for each mile driven. If Tiffany only has $50 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Answer: 182 miles.

Step-by-step explanation:

0.17x + 18.95 ≥ 50

        - 18.95     -18.95

0.17x = 31.05

x= 182

what is the answer to he equation to of x+3 x 4x-7

Answers

Answer:

4x^2 +5x -21

Step-by-step explanation:

(x+3) * (4x-7)

FOIL

first : x*4x = 4x^2

outer: -7x

inner: 3*4x =12x

last: -7*3 = -21

Add them together : 4x^2 -7x+12x -21

Combine like terms : 4x^2 +5x -21

I need this quick because I am on Khan 2(3-8y)= ? Plz help
-her daughter

Answers

Answer:

6-16y

Step-by-step explanation:

Distribute, 2 x 3 and 2 x 8

6-16y

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters, and a standard deviation of 7. If a random sample of 39 steel bolts is selected, what is the probability that the sample mean would be greater than 141.4 millimeters

Answers

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let [tex]\bar X[/tex] = sample mean diameter

The z score probability distribution for sample mean is given by;

                            Z  =  [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean diameter = 141 millimetres

           [tex]\sigma[/tex] = standard deviation = 7 millimetres

           n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P([tex]\bar X[/tex] > 141.4 millimetres)

      P([tex]\bar X[/tex] > 141.4) = P( [tex]\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }[/tex] > [tex]\frac{141.4-141}{\frac{7}{\sqrt{39} } } }[/tex] ) = P(Z > 0.36) = 1 - P(Z [tex]\leq[/tex] 0.36)

                                                            = 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

Which is the graph of y = ⌊x⌋ – 2? On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 5, negative 5) to (negative 4, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 4) to (5, 4). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2). On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, negative 5) to (negative 3, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 3) to (5, 3).

Answers

Answer:

On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).

Step-by-step explanation:

The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.

Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.

Answer:

c on edge

Step-by-step explanation:

I js did it tbh

Which are perfect cubes? Check all that apply. 64 x16 8x3 27x4 81x6 125x9

Answers

Answer:

A,C,F

Step-by-step explanation: I took the test :)

The expression 64 is perfect cube of 3.

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

We have to determine, which to the following is perfect cube.

According to the question,

A perfect cube is an integer that is equal to some other integer raised to the third power.

To obtain the perfect cubes of the expression, it can be determined in following steps.

The given expression is 64.

To convert it into perfect square written in small factor parts.

Therefore, 64 written as,

[tex]= 64\\\\= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\\\= (2)^{3} \times (2)^{3}\\\\= (2\times 2)^{3}\\\\=( 4)^{3}[/tex]

The expression 64 is perfect cube of 3.

The given expression is 16x.

To convert it into perfect square written in small factor parts.

Then,

16x can be written as,

[tex]= 16x \\\\= 2\times 2\times 2\times 2\times x\\\\= 2x.(2)^{3}\\[/tex]

The expression 16x is not perfect cube.

The given expression is [tex]8x^{3][/tex].

To convert it into perfect square written in small factor parts.

Then,

[tex]8x^{3}[/tex] can be written as,

[tex]= 8x^{3}\\\\= 2 \times 2 \times 2 \times x^{3}\\\\= (2)^3 \times {x^{3}}\\\\= (2x)^{3}[/tex]

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The given expression is [tex]27x^{4}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]27x^{4}[/tex] can be written as,

[tex]= 27x^{4}\\\\= 3 \times3 \times3 \times x^{4}\\\\= (3)^{3} \times x \times x^{3}\\\\= x \times (3x)^3[/tex]

The expression [tex]27x^{4}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]81x^6[/tex] can be written as,

[tex]= 81x^{6}\\\\= 3 \times3 \times3 \times3 \times x^{6}\\\\= 3.(3)^{3} \times x^{3} \times x^{3}\\\\= 3 \times ( 3x^{2}) ^{3}[/tex]

The expression [tex]81x^{6}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]125x^{9}[/tex] can be written as,

[tex]=125x^{9}\\\\= 5 \times 5 \times 5 \times x^{3} \times x^{3} \times x^{3}\\\\= (5x^{3})^{3}[/tex]

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

To know more about perfect square click the link given below.

https://brainly.com/question/16780291

10+10+10-10+10+10+10​

Answers

Answer:

60

Step-by-step explanation:

=> 10+10+10-10+10+10+10+10

=> 30-10+40

=> 20+40

=> 60

Answer:

60

Step-by-step explanation:

10+10+10-10+10+10+10

Students at an agricultural station conducted a study to compare geneticallymodified (GM) corn with regular corn. Each of 33 plots of land was divided intotwo half-plots; one half-plot was randomly selected to be planted with the GMcorn, and the other half-plot was planted with the regular corn.The table shows summary statistics for the yields, in bushels per acre, and thedifference in yield (GM minus regular) for each plot.MeanStandardDeviation n Minimum Q1 Median Q3 MaximumGM 125.018 13.623 33 107.4 111.9 127.5 138.0 144.0Regular 120.482 10.321 33 102.9 111.0 119.4 129.0 133.5Difference 4.536 6.444 33 –2.1 –0.9 3.0 6.0 20.1(a) Explain why the yields from one type of corn are not independent of the yields from the other type of corn.(b) Based on the summary statistics, would it be more likely to obtain a yield of 123 or more bushels per acre from a plot of GM corn or a plot of regular corn? Justify your answer.

Answers

Answer:

Step-by-step explanation:

The given data is represented in the attachment.

a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.

Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).

b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.

Thus,

P(yield>123|GM)>0.5; and P(yield>123|Regular)<0.5

There were 500 goats and geese on a farm. If I see 1,468 legs, how many of each are on the farm? Pls help now

Answers

Answer:

734

Step-by-step explanation:

divide 1468 by 2

Answer:

234 goats266 geese

Step-by-step explanation:

Let x represent the number of goats. The 500-x is the number of geese. The total number of legs is ...

  4x +2(500 -x) = 1468

  2x +1000 = 1468 . . . . . . . eliminate parentheses

  2x = 468 . . . . . . . . . . .subtract 1000

  x = 234 . . . . . . . . .number of goats

  (500 -x) = 266 . . number of geese

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