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2 years ago

gYou have a six-sided die that you roll once and ob- serve the number of dots facing upwards. What is the sample space

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

5 0

Hey!

The sample space would be sides 1, 2, 3, 4, 5, and 6, or 1-6.

A sample space is a range of possible values.

Hope this helps! :D

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Let f(x) = (5)^x+1 .Evaluate f (-3) without using a calculator

rewona [7]

Answer:

$f\left(-3\right)=\frac{126}{125}$

Step-by-step explanation:

Given

$f\left(x\right)\:=\:\left(5\right)^x+1$

Putting x = -3 to find f(-3)

$f\left(-3\right)\:=\:\left(5\right)^{\left(-3\right)}+1$

$5^{-3}=\frac{1}{125}$ ∵ $\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}$

$f\left(-3\right)=\frac{1}{125}+1$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:125}{125}$

$f\left(-3\right)=\frac{1\cdot \:\:125}{125}+\frac{1}{125}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$f\left(-3\right)=\frac{1\cdot \:\:125+1}{125}$

$f\left(-3\right)=\frac{126}{125}$ ∵ $1\cdot \:125+1=126$

Thus,

$f\left(-3\right)=\frac{126}{125}$

6 0

3 years ago

A bag of marbles contains 3 blue marbles, 2 green marbles and 5 red marbles. A marble is chosen at random. The probability that

julsineya [31]

Step-by-step explanation:

the probability will be amount of green marbles over total amount of marbles

if there are 2 green marbles, and 10 total the probability is 2/10, or 20%

5 0

2 years ago

A wall clock is generally a more precise tool for measuring a length of time than a stopwatch.

Sergio039 [100]

Answer:

False

Step-by-step explanation:

8 0

3 years ago

What is the answer to<br> (-6x-6)+(8x-6)

Otrada [13]

(-6x-6)+(8x-6)
-6x-6+8x-6
2x-12

Hope this helps :)

8 0

2 years ago

Choose the missing step in the given solution to the inequality -x -10 > 14 + 2x <br>

Andreyy89

Answer:

x < -8

Step-by-step explanation:

-x - 10 > 14 + 2x

Subtract 2x from both sides;

-3x - 10 > 14

Add 10 to both sides;

-3x > 24

Divide both sides by -3

The sign switches when divide by a negative number.

x < -8

6 0

3 years ago