Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Answers

Answer 1

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

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.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

[tex]\mu = 65 - 70 = -5[/tex]

The standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

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

[tex]Z = \frac{0 - (-5)}{7.81}[/tex]

[tex]Z = 0.64[/tex]

[tex]Z = 0.64[/tex] has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg


Related Questions

Determine if the statement is true or false. Any linear system with more variables than equations cannot have a unique solution.

Answers

Answer:

True

Step-by-step explanation:

Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.

Also, for a system of the linear equation:

[tex]AX = B[/tex]  can have a unique solution if:

Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.

Provided that there exist fewer equations and more variables,

Then;

coefficient matrix(rank) <  no. of variables

Thus, the system cannot contain a unique solution.

6) Change the amount of sugar to show a sweeter atole.
Atole
Total
Flour (tbsp)
5
Sugar (tbsp)
5

Answers

The first thing I would do was to get the first time in a row when we met with a few people who

What is the distance from 0 to point g on the number line

Answers

Answer:

?

Step-by-step explanation:

Question 4 Which expression is equivalent to ^4 sqrt x^7 y

Answers

Answer:

jojo siwa

Step-by-step explanation:

Two hours after leaving his home, Nolan traveled a distance of 120 miles. Distance in this scenario is represented by d and time is represented by t.. [2 points]Part A. Assuming that Nolan travels at the same speed during his trip, which of the following statements can be used to describe the distance Nolan may have traveled?
a.Nolan traveled 180 miles after 3 hours
.b.Nolan traveled 60 miles after 2 hours
.c.Nolan traveled 120 miles after 1 hour.
d. Nolan traveled 60 miles after 0 hours.
Part b
Part B. Write an equation that represents the distance traveled by the car for an amount of time. Then name the dependent variable
.a.d=120t, d is the dependent variable
b.d=60t, d is the dependent variable
c.d=120t, t is the dependent variable.
d=60t, t is the dependent variable

Answers

Answer:

Part A = A

Part B = C

Step-by-step explanation:

Ik I have Ms. Keten too :/

A point has
ono length
no width
no thickness
all of the above

Answers

A point has no length or thickness.

ALL OF THE ABOVE

find the value of the ratio a:5.7=8:12​

Answers

Answer:

a = 3.8

Step-by-step explanation:

a : 5.7 = 8 : 12

It can be also written as -

[tex] \frac{a}{5.7} = \frac{8}{12} [/tex]

[tex] = > \frac{a}{5.7} = \frac{2}{3} [/tex]

Multiplying 5.7 on both the sides ,

[tex] = > \frac{a}{5.7} \times 5.7 = \frac{2}{3} \times 5.7 [/tex]

[tex] = > a = \frac{2}{3} \times 5.7 = 3.8[/tex]

A 16 ft tall adult giraffe standing next to a
baby giraffe casts a 8 ft shadow. If the
baby giraffe is 6 ft tall, then how long is
its shadow?

Answers

Answer:

The shadow is 3 ft tall

Step-by-step explanation:

The older giraffe is 16 ft tall and 8 is half of 16 and 8ft is the length of the shadow so that means that half of the small girafe would be 3ft because half of 6 is 3.

Sorry if its not correct

Help I’ll mark brainliest

Answers

Answer:

ACD

Step-by-step explanation:

A yard is 3.1 meters long and 1.4 meters wide. What is the area of the yard? Group of answer choices

Answers

Answer:

The area of the yard is 4.34.

Step-by-step explanation:

a = l x w

a = 3.1 x 1.4

a = 4.34

What is the area of the triangle

Answers

Answer:

A = 1/2 l*w

So the answer is 4.

Answer:

area=1/2(bh)

area=1/2(2 times 4)

area=1/2(8)

area=4

:)

the summer sports training camp has a maximum capacity of 250 student (s). if 85 have pre registered, then how many students can still participate?

Answers

Answer: x [tex]\leq[/tex] 165

Step-by-step explanation:

please hurry!!!
For the class picnic, 25 liters of punch were purchased. 6 liters were left over. How many gallons of punch were used at the picnic? (1 liter is approximately 0.26 gallons)

Answers

Answer:

Gallons of punch used = 4.94 gallons

Step-by-step explanation:

Given that:

Liters of punch purchased = 25 liters

Liters of punch left over = 6 liters

Liters of punch used = 25 - 6 = 19 liters

According to the given statement;

1 liter = 0.26 gallons

19 liters = 0.26*19 gallons

19 liters = 4.94 gallons

Hence,

Gallons of punch used = 4.94 gallons

5 A contractor is laying out the sides of a
rectangular porch. She knows that the porch will
form a rectangle if it can be broken up into two
right triangles, as shown below.
The lengths of the two longer sides of the porch
are 24 feet and the lengths of the two shorter
sides are 17 feet. Enter the length of the diagonal
of the porch in feet, rounded to the nearest tenth.

Answers

Answer 29.4.

I took the test

Acellus
Find the next two terms in this
sequence.
2, 6, 10, 14, 18, [?],[

Answers

the next two terms in the sequence are 22 and 26

Answer:

22,26

Step-by-step explanation:

Just add 4 every time

48 oz. for $3.99
36 oz. for $2.59
12 oz. for $1.99
which is the best deal

Answers

Answer:

Step-by-step explanation:

12 oz for 1.99$

Answer:

12 oz. for $1.99

Step-by-step explanation:

sin ∠A = ?

[tex]a.\frac{3}{4} \\\\b.\frac{5}{4} \\\\c.\frac{3}{5} \\\\\ d.\frac{4}{5}[/tex]

Answers

Answer:

c. 3/5

Step-by-step explanation:

With reference angle A

perpendicular (p) = 3

hypotenuse (h) = 5

Now

Sin A =

[tex] \frac{p}{h} \\ = \frac{3}{5} [/tex]

Hope it will help :)

Answer:

The answer is 5/4

Step-by-step explanation:

Y-intercept for y=2(x-3)^2+4

Answers

Answer:

The y-intercept for this equation is 22.

Step-by-step explanation:

You can solve this quite easily by assigning a zero value to x and solving for y.  That is where the curve will intersect the x-axis:

y = 2(x - 3)² + 4

y = 2(x² - 6x + 9) + 4

y = 2x² - 12x + 18 + 4

y = 2x² - 12x + 22

EDIT

Note that the expression above is in standard form, though it can also be factored if needed:

y = 2(x² - 6x + 11)

Now we can solve for an x value of zero:

y = 2(0)² - 12(0) + 22

y = 22

So the y-intercept is 22.

How do I get the answer?

Answers

Answer:

Step-by-step explanation:

im so unfused what subject if yall ask a question putt the subject

-11x - 7y=-56 what is the slope and y intercept

Answers

Answer:

49/11 I think I'm not sure

What kind of transformation is it when it gets bigger? Like a small star to a bigger star.

Answers

It’s called a dilation

According to a survey of​ workers,2/20 of them walk to​ work, ​1/20 bike, ​4/20 carpool,13/20 and alone. What percent of workers walk or bike to​ work?

Answers

i think it’s 15 percent

2/20=10/100
1/20=5/100
10+5=15

8. A haircut is $120, how much is a 15% tip? *


Answers

Answer:

18

Step-by-step explanation: 120 times 0.15

Answer:

$18

Step-by-step explanation:

To work out 15% using a calculator:

0.15 multiplied by 120 which is 18

To work out 15% without a calculator:

10% of 120 is 12. (Just remove the last number whenever you want to get 10% or add it on as a decimal if it's greater than 0. e.g. 10% of 40 is 4 but 10% of 48 is 4.8)

To add the 5% divide 12 by 2 which is 6.

Add the 10% to the 5% to get the 15%.

12+6=18

2) You traveled 210 miles in 3.5 hours.
How many miles will you travel per hour?

Answers

Answer:

= 56.7 miles per hour

Step-by-step explanation:

Step-by-step explanation:

To find the average speed for the entire journey, we need to find the entire distance   and the  total time

Entire distance = 210 miles + 130 miles = 340 miles

Total time = 3.5 hours and 2.5 hours = 6 hours

Average speed = distance/ time = 340 miles/ 6 hours

                           = 56.66666666666 miles per hour

Rounding to the nearest tenth

                             = 56.7 miles per hour

Answer:

60 miles

Step-by-step explanation:

Step 1:

210=3.5

x =1

Step 2: cross multiply

3.5×x= 210×1

3.5x=210

Step 3: divide both sides by the coefficient of x which is 3.5

3.5x/3.5=210/3.5

x=60

Answer= 60 miles

17/15 - 4/5 please answer

Answers

Answer:

1/3

Step-by-step explanation:

17/15-4/5

17/15-4*3/5*3

17/15-12/15

17-12/15

5/15

1/3

The equivalent value of the fraction is A = 1/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p

Let the second fraction be q

Now , A = p - q

when the value of p = 17/15

And , when the value of q = 4/5

On simplifying the equation , we get

A = 17/15 - 4/5

So , the left hand side of the equation is equated to the right hand side by the value of ( 17/15 - 4/5 )

A = ( 17/15 - 4/5 )

Taking the LCM of the denominators of the fraction , we get

A = ( 17 - 12 ) / 15

On simplifying , we get

A = 5/15

A = 1/3

Therefore , the value of A = 1/3

Hence , the fraction is A = 1/3

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6

If eight balls can be purchased for $48, what is the unit rate?

Answers

Answer:

I think the unit rate is 6$

i divided 48 by 8 and got 6

Please help I’m having trouble solving this☹️

Answers

You need to find the WPM (words per minute) of each person.

Andre - 208 divided by 4 = 52

Noah - 342 divided by 6 = 57

You now know that Andre types 52 words per minute and Noah types 57 words per minute.

Answer: Noah types faster because he types 57 words per minute while Andre types 52 words per minute.

Answer:Noah types faster.

Step-by-step explanation: For Andre ,You do 208 divide 4 which gives you 52.For Noah, you do 342 divide by 6 which gives you 57.And since Noah  type more words which is 57  while Andre type 52, that means Noah types faster.

Hope it helps.

If Joshua has 72 apples
and gives away 14, and
then
eats 7, how many
Apples will
Joshua have
left over.

Answers

51 apple for the poor Joshua *crys* :(

Eight oranges cost $1.00. How much will 4 dozen oranges coste
Gm

Answers

Answer:

Step-by-step explanation:

if 8 oranges cost 1 dollars

4 oranges cost 1/2=0.50 cents

one dozen=4*3= 12 oranges

0.50*3=1.50 dollars/dozen

4 dozen=4*1.50=6 dollars

Cost = $6.00

EXPLANATION:

0 = 1 orange

0 0 0 0 0 0 0 0 = 8 oranges = $1.00

1 dozen = 12 (oranges)

4 dozens = 48 (oranges)

0 0 0 0 0 0 0 0 = $1 (1)

0 0 0 0 0 0 0 0 = $1 (2)

0 0 0 0 0 0 0 0 = $1 (3)

0 0 0 0 0 0 0 0 = $1 (4)

0 0 0 0 0 0 0 0 = $1 (5)

0 0 0 0 0 0 0 0 = $1 (6)

I divided the 48 oranges in groups of 8.

One group of 8 oranges equals $1.

There was a total of 6 groups of 8 oranges, without any leftovers.

The Total Is $6.

A fully loaded and fueled spacecraft can weigh close to 4.8 million pounds. What is this weight converted to​ tons?

​(Type an integer or a​ decimal.)

Answers

Answer:

2,400 tons

Step-by-step explanation:

Answer:

24,00 tons

Step-by-step explanation:

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