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3 years ago

What is (1/3) with a small 2

Mathematics

2 answers:

diamong [38]3 years ago

5 0

Answer:

1/9

Step-by-step explanation:

(1/3)^2

One third raised to the 2nd power

is 1/3 times 1/3

(1/3) * (1/3)

1/9

Cerrena [4.2K]3 years ago

3 0

Answer: It means multiply the item by itself once, two factors.

The small 2 is called an exponent, and the value in parenthesis is called the base.

$\left(\frac{1}{5}\right)^3 = \frac{1}{5}\times\frac{1}{5}\times\frac{1}{5}$

just like multiplication is repeated addition:

$\left(\frac{1}{5}\right)\times3 = \frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

Step-by-step explanation:

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A coin is tossed four times What is the probability of getting four heads? (1 mark) a) b) What is the probability of getting exa

BlackZzzverrR [31]

<h2>Answer:</h2>

1. A coin is tossed four times. What is the probability of getting four heads?

Each toss has a 1/2 chance of getting a head.

So the chance of getting all four heads can be calculated as :

$1/2\times1/2\times1/2\times1/2=1/16$

2. A coin is tossed four times. What is the probability of getting two heads?

Each toss can have 2 results, so 4 flips will have $2^{4}$ or 16 results.

Getting two heads means getting two tails also. So, we can get the number of times two heads come = $\frac{4!}{2!2!}$ = 6

We can write the groups like - {HHTT,HTHT,HTTH,THHT,THTH,TTHH}

So, the required probability is : 6/16 or 3/8.

3. Not getting two heads means getting 3 tails and 1 head or all tails.

Probability of having all tails = $1/2\times1/2\times1/2\times1/2=1/16$

Probability of one head(1st trial) and three tails = 1/16

Probability of one head (2nd trial) and three tails (the 1st, 3rd and 4th trials) = 1/16

Probability of one head (3rd trial) and three tails (the 1st, 2nd and 4th trials) = 1/16

Probability of one head (4th trial) and three tails (the 1st, 2nd and 3rd trials) = 1/16

So, the total probability showing only one or none head and at least three tails = $1/16+1/16+1/16+1/16+1/16=5/16$

6 0

3 years ago

If x = 10, y = 5, and z = 11, what is the tangent ratio for g°?

loris [4]

Please, find attached the image with the complete question

Answer:

$\large\boxed{\large\boxed{tan(g\º )=2}}$

Explanation:

The triangle ACB is a right triangle with these features:

x represents the opposite side to the angle g

y represents the adjacent side to the angle g

The <em>tangent ratio </em>on an angle in a right triangle is equal to the length of the leg opposite to the angle divided by the length of the leg adjacent to the angle.

Hence:

$tangent(g\º )=x/y=10/5=2\leftarrow answer$

8 0

3 years ago

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T is between points P and B. PB=35 and TB=12. What is PT? 12 23 17 57

AnnZ [28]

Maybe try using a converter

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3 years ago

Write the set of real numbers in interval notation. {x | x ≥ −8}

Vikentia [17]

The answer is: $[-8, \infty)$

Which can be written as: [-8, infinity)

This is the interval from -8 to infinity. So -8 is our left most point on the number line and infinity being our right most. There is no boundary on the right side.

Note how the left side has a square bracket and the right side has a curved parenthesis. This isn't a typo. The square bracket tells the reader "include the endpoint -8 as part of the solution set". The parenthesis tells the reader "do NOT include the endpoint infinity as part of the solution set".

Rule: infinity and negative infinity is always paired with a parenthesis because these aren't numbers. It's impossible to reach infinity, therefore it's impossible to include it in the set of values. If you could include it, then that implies you ran out of numbers.

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3 years ago

A truck driver drives at a constant rate of 60 miles per hour while on the highway. Which equation represents the distance, d, i

lora16 [44]

Answer:

Step-by-step explanation:

this is a rate of time, 60 must be multiplied by the hours to get the days

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3 years ago