In a litter of five puppies, what is the probability of getting
two males and three females, assuming an even chance for
each gender?
1
(A) 32
(B) 0.031
1
(C) 16
5
(D) 16
(E) 4

Answers

Answer 1

Answer:

5/16

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

Let's say r is the number of male puppies.

n = 5, r = 2, p = 0.5, and q = 0.5.

P = ₅C₂ (0.5)² (0.5)³

P = 5/16

Answer 2

The probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

Given that,

In a litter of five puppies.There is two males and three females, assuming an even chance for  each gender.

Based on the above information, the calculation is as follows:

Here we use binomial probability:

[tex]P = ^nC_r p^r q^{n-r}[/tex]

Here n denotes the number of trials,

r denotes the number of successes,

p denotes the probability of success,

and q denotes the probability of failure (1−p).

Let's us assume the r be the number of male puppies.

Now  

n = 5, r = 2, p = 0.5, and q = 0.5.

So, put the values

So,  

[tex]P = ^5C_2 (0.5)^2 (0.5)^3[/tex]

= [tex]5 \div 16[/tex]

Therefore we can conclude that the probability of getting two males and three females, assuming an even chance for  each gender is [tex]\frac{5}{16}[/tex].

Learn more: brainly.com/question/24169758


Related Questions

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Step-by-step explanation:

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Step-by-step explanation:

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The triangles in the picture are congruent by which method

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Answer:

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Step-by-step explanation:

Please write a proof

Answers

Answer:

Step-by-step explanation:

∠X ≅∠Z : Given

∠ZYV≅∠XYU

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Step-by-step explanation:

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What part?4/5 I guess

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Answers

Answer:

I’m not sure what you need but this equation has: indefinitely many solutions because they are equivalent

Step-by-step explanation:

-5.3w+8.0w-11.6=14-25.6+2.7w

2.7w-11.6=14-25.6+2.7w

2.7w-11.6= -11.6+2.7w

On a number line, which fraction would is to the right of
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A)
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Answers

Answer:

B

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

m(w) = 8w + 17 looks like the best answer choice for me

The legs of a right triangle are 6 cm and 12 cm long. Which number is closest to the measure of the
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b. 13

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Answers

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Answer:

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Step-by-step explanation:

(x + 26)
(3x)
X=

Helpppp

Answers

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Geometry

Vertical Angles

Step-by-step explanation:

Step 1: Set up equation

3x = x + 26

Step 2: Solve for x

Subtract x on both sides:                    2x = 26Divide 2 on both sides:                       x = 13

Anyone????? That can help me answer these

Answers

Answer:

5. 3050ft³ (rounded to 3 s.f.)

6. 4190ft³(rounded to 3 s.f.)

7. 4600ft³(rounded to 3 s.f.)

Formulas (For easier reference):

Volume of a cone: pi×r²×[tex]\frac{h}{3}[/tex]

Volume of cylinder: pi×r²×h

Volume of a sphere: [tex]\frac{4}{3}[/tex]×pi×r³

Volume of a hemisphere: [tex]\frac{2}{3}[/tex]×pi×r³

Step-by-step explanation:

You can just apply the formulas to the question:

5. Volume of cone = pi×9²×[tex]\frac{(16-10)}{3}[/tex]

                               = 162pi

  Volume of cylinder = pi×9²×10

                                   = 810pi

Volume of figure = 162pi+810pi

                            = 972pi

                            = 3050ft³ (rounded to 3 s.f.)

6. Volume of sphere = [tex]\frac{4}{3}[/tex]×pi×10³

                                   = 1333[tex]\frac{1}{3}[/tex]pi

                                   = 4190ft³(rounded to 3 s.f.)

7. Volume of hemisphere = [tex]\frac{2}{3}[/tex]×pi×(26÷2)³

                                          = 1464[tex]\frac{2}{3}[/tex]pi

                                          = 4600ft³(rounded to 3 s.f.)

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Answer:

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An arts academy requires there to be 3 teachers for every 75 students and 4 tutors for every 48 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has ​108 students?

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Answer:

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I

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Answers

Answer:

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Step-by-step explanation:

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24. Michael leaves his house at 0837 and travels by motorcycle to the railway station, which is 27 km from his
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(i) If he arrives at the station 36 minutes later, find the average speed at which he travels in km/h.
(ii) If the train, which is due at 0942, is 11 minutes late, how long will he have to wait?

Answers

Answer:

i) 45km/hr

ii)29 min

Step-by-step explanation:

average speed = distanced travelled / time elapsed

It took 36min and need to convert to hr

36min x [tex]\frac{hours}{60 min}[/tex] = [tex]\frac{36 hr}{60 min}[/tex] = [tex]\frac{9 }{15 }[/tex] hours

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Answers

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Answers

the first one is -10 and the second one is 10

A tree is currently 10 feet tall and grows 2 feet per year. Show your work for full credit.
a. Model this scenario with an arithmetic sequence in explicit form. (2)

b. Rewrite the explicit form of the sequence using function notation. (2)

c. How tall will the tree be in 15 years? (1)

Answers

Answer:

(a) An  = 2n +8

(b) F(n) = 10 + (n-1)2

(c) 38ft tall

Step-by-step explanation:

The tree is currently 10 feet long and grown 2 feet per year.

The arithmetic sequence is

10 , 12, 14 , 16 , 18 ..............

a( initial value) = 10 , d (common difference) = 2

Explicit forms

(a) An = a +(n-1)d

     An = 10 + (n-1)2

            = 10 + 2n -2

           An  = 2n +8

(b) F(n) = 10 + (n-1)2

(c) Height of the tree after 15 years

       F(15) = 10 + (15-1)2

                 = 10 + 28

                  = 38ft

So the tree will be 38ft tall after 15 years.

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Answers

Answer:

-56

Step-by-step explanation:

7 x (-7 + 15)

=7 x (-8)

=-56

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Answers

Answer:

sin^2(a) I believe. Delete my response if needed.

Step-by-step explanation:

tan²(α) (2 cos²(α) + sin²(α) - 1)

Recall that sin²(α) + cos²(α) = 1 for all α. Then sin²(α) - 1 = -cos²(α) :

tan²(α) (2 cos²(α) - cos²(α))

tan²(α) cos²(α)

Rewrite tan(α) = sin(α) / cos(α) :

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(sin²(α) / cos²(α)) cos²(α)

Cancel the factors of cos²(α) :

sin²(α)

Tell Weather The Terms Are Like Terms.
1) 3a and -5a
2) 2xy^2 and -x^2y

Answers

1) 3a and -5a are like terms
2) not like terms

3(2x-5)+4(x+2)
determine the value of of expression #1 when x=4

Answers

Answer:

3(2x-5)+4(x+2) =33

Step-by-step explanation:

3(2x-5)+4(x+2)

3(2(4)-5)+4(4+2)

3(8-5)+4(6)

3(3)+24

9+24

33

Hope this helps♥

what is the slope of the line that passes through the points (7, -5) and (10, -7.5)?

A:
[tex] \frac{5}{6} [/tex]


B:
[tex] \frac{6}{5} [/tex]


C:
[tex] - \frac{5}{6} [/tex]
D:
[tex] - \frac{6}{5} [/tex]

Answers

Answer:

C. [tex]-\frac{5}{6}[/tex]

Step-by-step explanation:

just use the equation [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] So our first point (7,-5) will be [tex]x_1=7,y_1=-5[/tex]and our second point (10, -7.5) will be [tex]x_2=10,y_2=-7.5[/tex] Then substitute[tex]slope=\frac{(-7.5)-(-5)}{(10)-(7)}=\frac{-2.5}{3}=-\frac{5}{6}[/tex]

2(4x + 1) - 3 = ax + b
Which statements are true about the solution to the equation when substituting the
given values for a and b?
Choose all that apply.
A if a = 8 and b = 1, then there is no solution to the equation.
B if a = 4 and b = –2, then there is no solution to the equation.
C if a = 8 and b = -1, then there is exactly one solution to the equation.
Difa - 2 and b = -1, then there is exactly one solution to the equation.
If a = 2 and 6 = 4, then there are infinitely many solutions to the equation.
E

Answers

Answer:

c

Step-by-step explanation:

a=8-1/x-b/x

b=8x-1-ax

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