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Vlad [161]
2 years ago
9

A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 retrievers. if rebecka and​ aaron, in that​ order, each se

lect one puppy at random with replacement​ (they may both select the same​ one), find the probability that they both select a poodle
Mathematics
1 answer:
olganol [36]2 years ago
6 0
P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100
You might be interested in
Jenna’s method: Mia’s method:
boyakko [2]

Answer:

Mia's method have one advantage that the steps became less than Jenna's method.          

Step-by-step explanation:

Jenna’s method :

5(30 + 4)

=(5)(30) + (5)(4)

=150 + 20

=170

Mia’s method :

5(30 + 4)

=(5)(34)

=170

To find : Explain why both Jenna and Mia arrived at the same answer and the advantage of one method over the other ?

Solution :

The method of both were different but correct.

One apply distributive property and other apply direct calculation.

So, both Jenna and Mia arrived at the same answer

But Mia's method have one advantage that the steps became less than Jenna's method.

5 0
2 years ago
Read 2 more answers
G A professor has two light bulbs in his garage. When both are burned out, they are replaced, and the next day starts with two w
Aneli [31]

Answer:

2/7 or 0.2857

Step-by-step explanation:

The expected time before the first bulb burns out (two bulbs working) is given by the inverse of the probability that a bulb will go out each day:

E_1 = \frac{1}{0.02}=50\ days

The expected time before the second bulb burns out (one bulb working), after the first bulb goes out, is given by the inverse of the probability that the second bulb will go out each day:

E_2 = \frac{1}{0.05}=20\ days

Therefore, the long-run fraction of time that there is exactly one bulb working is:

t=\frac{E_2}{E_1+E_2}=\frac{20}{20+50}\\t=\frac{2}{7}=0.2857

There is exactly one bulb working 2/7 or 0.2857 of the time.

7 0
2 years ago
Describe the steps you used to solve the equation and find the amount of Carrie’s allowance. Linear equation:  1 4 a + 1 3 a + 8
Valentin [98]

Answer:

a = 0.519

Step-by-step explanation:

14a + 13a + 8 = 22

27a = 14

a = 0.519

6 0
2 years ago
Read 2 more answers
A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
2 years ago
Ava bought some pens for $ 2 each and some pencils for $ 1 each. She bought 3 more pens than pencils and spent a total of $ 12.
Rudiy27

Answer:

Step-by-step explanation:

price of 1 pen= $ 2

price of 1 pencil= $1

total money spent= $12

Let the number of pen be a and number of pencil be b.

 2 a + b = 12   ----------------Equation 1

We have, she bought 3 more pens than pencils

  a - b = 3   ------------------  Equation 2

 Equation 1 +Equation 2,  

   2 a + b +  a - b = 12 + 3

                     3a = 15

                     a = 5

 Substituting in  equation

           5 - b = 3

               b = 2

 Number pencils Ava bought = 2

5 0
2 years ago
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