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3 years ago

If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3

1 answer:

6 0

Assuming the number cube is a die numbered 1-6,
The probability of flipping a coin and getting heads and the probability of rolling a 3 on the die are independent of each other.

-There are two sides of a coin, heads and tails. You have two possible results from the coin - heads, or tails. You have a 1 in 2 probability of getting either.

-There are six sides of a die. There are six possible results from the die - 1, 2, 3, 4, 5, and 6. You have a 1 in 6 probability of getting any of the results.

The probability of both happening (and) can be determined by multiplying the two probabilities.

Hope this helps!
-refrac532

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1) For a period of time, an island's population grows at a rate of 3.8% per year. If the current

LenaWriter [7]

Okay so 3.8% of 1,543 is 58.634 so then you would multiply it by 5.2 for years witch would be 304.8978 so add that to the original witch is 1543 so your answer would be 1847.8978 rounded up would be 1848

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3 years ago

Solve x^2 + 6x = 24.

Sunny_sXe [5.5K]

Hello DestinyKiara99 o/
We can solve this equation using the quadratic formula
Check it out...

x² + 6x - 24 = 0

Δ = 6² - 4.1.(-24)
Δ = 36 + 96
Δ = 132

x = -6 +/- √132 x' = -3 + √33
 -------------- /
2 \
x'' = - 3 - √33
The correct answer is the letter D
I hope this help =)

8 0

3 years ago

A square television screen has sides that are 23 inches. Find the approximate length of its diagonal to the nearest tenth of an

Lana71 [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

55 percent of 48 is the same as 60 percent of what number? I WILL AWARD BRAINLEIST

mars1129 [50]

Answer:

Step-by-step explanation:

55% of 48 = 26.4

0%-------------------------------------60%------------100%

0 26.4

60x1.6~=100

26.4x1.6~=44

...55% of 48 is the same as 60% of 44

5 0

3 years ago

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago