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3 years ago

Shen has a number cube with faces numbered 1 through 6. He will roll the number cube one

2 answers:

7 0

Total number of possible outcomes = 6

Number of successful outcomes (roll a 3, 4, 5, or 6) = 4

Probability of success = 4/6 or <em>2/3 .</em>

Alika [10]3 years ago

7 0

4/6 which is simplified as 2/3

You might be interested in

The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D

lora16 [44]

Answer:

Step-by-step explanation:

The value of y varies directly with x. When y = 75, x = ½ . What is the value of y when x is 2 ¼ ? A. 168.75 C. 66.67 B. 16.67 D. 337.5

y ∝x

y = kx

k = y/x

8 0

2 years ago

Find the amount in a continuously compounded account for the following condition. Principal, $4000; Annual interest rate, 5.

soldi70 [24.7K]

<h3>Answer: 4745.96 dollars</h3>

=======================================================

Explanation:

We have this given info

P = 4000 = principal
r = 0.057 = annual interest rate in decimal form
t = 3 = number of years

Use this to plug into the formula below

$A = Pe^{r*t}\\\\A = 4000*e^{0.057*3}\\\\A \approx 4,745.96299608713\\\\A \approx 4,745.96\\\\$

You'll need your calculator, and the calculator needs the "e" button.

The "e" refers to the special constant 2.718... which is similar to pi = 3.14...

7 0

2 years ago

What is anwer this qestion and simplife it 8+6²\11 +7×2

Zigmanuir [339]

Answer:

My answer was 18.

Step-by-step explanation:

Step 1:

8+6 times 6 is 44.

Step 2:

Divide 44 by 11 and got 4.

Step 3:

Always multiplication goes first so...

7 times 2 equal 14

Step 4:

14 plus 4

Step 5:

Answer:

18.

4 0

3 years ago

What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8

Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8 \ ln \ x-5=15.8-5$

Simplifying, we get,

$8 \ ln \ x= 10.8$

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of $e^{1.35}$=3.85742...$ , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0

2 years ago

Rationalize the denominator of the fraction: √5/√8 - √3

Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate (√8 + √3).

Solution

√5 * (√8 - √3) / ( (√8 - √3) * (√8 + √3) )

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) * (√8 + √3) )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 * (√8 - √3)

=============

6 0

2 years ago