Answer:

**Answer:**

0.28

**Step-by-step explanation:**

For a certain breed of dog,

OFFSPRING OF A BLACK DOG:

Is black = 0.6 Is brown = 0.4

OFFSPRING OF A BROWN DOG:

Is black = 0.2 Is brown = 0.8

**If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?**

The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.

The probability that his black pups produce black pups:

0.2 × 0.6 = 0.12

The probability that his brown pups produce black pups:

0.8 × 0.2 = 0.16

The probability that his grand pup will be black = 0.12 + 0.16 = 0.28

Answer:
### Final answer:

### Explanation:

### Learn more about Probability here:

The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.

In this problem, you're looking at the **probability** of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a **conditional probability** problem.

The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the **probability** that Rex's grandpup will be black is **12%**.

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Drag numbers to use a negative factor to factor the expression-5g+15h-25

Please help number 7 and number 8

What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

If you’re good at Geometry, can you help me with some math equations?

Consider the sequence below. 3, 1, 1/3, 1/9,... select the explicit function which defines the sequence. A.) f(n) = 1/3 • 2^(n - 1) B.) f(n) = 2 • (1/3)^(n - 1) C.) f(n) = 1/3 • 3^(n - 1) D.) f(n) = 3 • (1/3)^(n - 1)

Please help number 7 and number 8

What sample size, including the 20 observations in the initial study, would be necessary to have a confidence of 95.44 percent that the observed time was within 4 percent of the true value?

If you’re good at Geometry, can you help me with some math equations?

Consider the sequence below. 3, 1, 1/3, 1/9,... select the explicit function which defines the sequence. A.) f(n) = 1/3 • 2^(n - 1) B.) f(n) = 2 • (1/3)^(n - 1) C.) f(n) = 1/3 • 3^(n - 1) D.) f(n) = 3 • (1/3)^(n - 1)

(ii) 5 to 6 µm

(iii) 5 to 5.1 µm

The **average rate of volume** change of a growing spherical cell for different changes in radius can be calculated using the formula for the volume of a sphere and the formula for average rate of change (ΔV/Δr).

To find the average rate of change of the volume V with respect to the **radius** r, you will need to subtract the initial volume from the final volume and then divide by the change in radius. This is represented by the formula ΔV/Δr, where Δ represents change in.

- For r changing from
**6 to 9 µm**, ΔV = V(9) - V(6) = 4/3π(9^3) - 4/3π(6^3). Therefore, ΔV/Δr = (4/3π(9^3) - 4/3π(6^3)) / (9 - 6). - For r changing from
**5 to 6 µm**, ΔV = V(6) - V(5) = 4/3π(6^3) - 4/3π(5^3). Therefore, ΔV/Δr = (4/3π(6^3) - 4/3π(5^3)) / (6 - 5). - For r changing from
**5 to 5.1 µm**, ΔV = V(5.1) - V(5) = 4/3π(5.1^3) - 4/3π(5^3). Therefore, ΔV/Δr = (4/3π(5.1^3) - 4/3π(5^3)) / (5.1 - 5).

These calculations will give you the average rate of volume change for each of the radius changes indicated.

Learn more about **Average rate of volume** change here:

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**Solution:**

Given that we have to simplify:

---- eqn 1

We know that,

**Substitute the above identity in eqn 1**

**Simplify the above expression**

------- eqn 2

**By the trignometric identity,**

**Substitute the above identity in eqn 2**

Cancel the common factors in numerator and denominator

**Thus the simplified expression is:**

**Answer:**

A

**Step-by-step explanation:**

rise over run....up 3 and over 4

crosses y axis as -3

**Answer:**

x=19

**Step-by-step explanation:**

x+8=2x-11

-11+11=0

8+11=19

x-x=0

2x-x=x

x=19

There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.

Yeah man nearly there

Jack spends 15% on sweets each week and 35% on magazines. His total spendings(15%+35%=50%)equals 50%.Savings is 100% - 50%= 50%.So, if jack gets $100 each week, he spends $15 on sweets, $35 on magazines, and $50 goes towards savings. Hope this helps!

Jack spends $50 each week.

To calculate how much Jack spends each week, we need to find the amount he spends on sweets and magazines and subtract it from his pocket money. First, we calculate the amount Jack spends on magazines. Let's assume his pocket money is $100:

- Amount spent on sweets = 15% of $100 = $15
- Amount spent on magazines = 35% of $100 = $35

To find the amount Jack saves, we subtract the amount spent on sweets and magazines from his pocket money:

Total spent on sweets and magazines = $15 + $35 = $50

Amount saved each week = Pocket money - Total spent on sweets and magazines = $100 - $50 = $50

Therefore, Jack saves $50 each week.

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