I need help with these two fraction questions :(

The expression was simplified using two properties of operations. Which properties were applied in steps 1 and 3?

oee [108]

Answer:

Distributive and communtive

Step-by-step explanation:

im pretty sure its communtive

4 0

3 years ago

The cost of a taxi ride is $5 plus $0.50 per mile write an algebraic expression that models the cost of a taxi of M miles. A-m(5

Alex787 [66]

The answer would be A or D

3 0

2 years ago

The function f(x) = 200(0.5)x/50 models the amount in pounds of a particular

victus00 [196]

<u>Answer:</u>

29 years

<u>Step-by-step explanation:</u>

Given the function $f(x)= 200(0.5)^{\frac{x}{50} }$ , where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
Another way of doing this is to change the function to $f(x)=200(0.5^{\frac{1}{50} })^{x}$ which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
I'll use the 1st function because the question doesn't ask for the rate

$f(x)= 200(0.5)^\frac{140}{50}}$

From here I'll just use a calculator & get 28.7, or 29 years.

4 0

1 year ago

The height of a triangle is 4 times its base. The area of the triangle is 288 square. Find the base and the height of the triang

Vanyuwa [196]

$\bf \textit{area of a triangle}\\\\
A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=base\\
h=height\\
----------\\
h=4b\leftarrow 
\begin{array}{llll}
\textit{height is 4}\\
\textit{times the base}
\end{array}\\
A=288
\end{cases}\implies 288=\cfrac{1}{2}\cdot b\cdot 2b$

solve for "b", to see what the base is

what about the height? well, h = 4b

7 0

3 years ago

Based on a poll, 60% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is

skad [1K]

Answer:

The probability that at least one of them is careful about personal information is 0.9744.

If the survey subjects volunteered to respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.

Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.

Step-by-step explanation:

We can model this with a random variable, with sample size n=4 and probability of success p=0.6.

The probability that k individuals are more careful about personal information when using a public Wi-Fi hotspot in the sample is:

$P(x=k)=\dbinom{n}{k}p^k(1-p)^{n-k}=\dbinom{4}{k}\cdot0.6^k\cdot0.4^{4-k}$

We have to calculate the probability that 1 or more are more careful about personal information when using a public Wi-Fi hotspot. This can be calculated as:

$P(x\geq1)=1-P(x=0)\\\\\\P(x=0)=\dbinom{4}{0}\cdot0.6^{0}\cdot0.4^{4}=1\cdot1\cdot0.0256=0.0256\\\\\\P(x\geq1)=1-0.0256=0.9744$

The probability that 1 or more individuals in the sample are more careful about personal information when using a public Wi-Fi hotspot is 0.9744.

6 0

3 years ago