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4 years ago

9

What is 8/32 in simplest? I know it sounds and is easy but I need to know if I should do 4 or 8, thanks for the help I appreciat

e it.

2 answers:

galben [10]4 years ago

5 0

Answer:

Step-by-step explanation:

1/4

jasenka [17]4 years ago

5 0

You use 8 because you can reduce 8/32 in one step. If you use 4 then you will have to reduce two times.

8/32

8/8= 1

32/8= 4

Answer:

1/4

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Which of following best describes the graph f(x) = 4^-x

Usimov [2.4K]

Could you show a picture or something?

8 0

3 years ago

a restaurant customer left a $1.95 as a tip. the tax was 5%, and the tip was 15% of the after-tax cost. which information is not

Naily [24]

Given :

a restaurant customer left a $1.95 as a tip.

The tax = 5%

the tip was 15% of the after-tax cost

So, the information that not needed is the tax

Let the total bill = x

so, 15% of x = 1.95

$\begin{gathered} 0.15\cdot x=1.95 \\ \\ x=\frac{1.95}{0.15}=13 \end{gathered}$

so, the total bill = $13

7 0

1 year ago

An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

So

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.

slavikrds [6]

Answer;

The answer is the second; log ₁₂1/4

Explanation;

From the laws of logarithms, given an expression in the form;

Log ₓ y, where x is the base and y is the number, we can apply the change of base formula to a logarithmic expression to get;

Log y/log x, which are to base 10

Thus; Log₁₂1/4 = log 1/4/ log 12

4 0

4 years ago

Read 2 more answers

Evaluate the expression when b=4 and x=-2 . <br><br> b-4x

oee [108]

Answer:

12

Step-by-step explanation:

b-4x

Plug in 4 as b and -2 as x

= (4)-4(-2)

Multiply 4 and 2

= 4-(-8)

Two negatives make a positive

= 4+8

= 12

I hope this helps!

4 0

3 years ago

Read 2 more answers