Simplify (10 x 10^5)/(2 x 10^-5)

How is the process of finding equivalent ratios like the process of finding equivalent fractions

max2010maxim [7]

It is the same process because ratios and fractions are the same. For example, ratio 1 : 3 can be written in the form of fractions as 1/3. Ratio 1 : 4 is fraction 1/4, and so on. So, if you want to find equivalent ratios, you will use the same process as for finding equivalent fractions.

5 0

3 years ago

Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o

Juliette [100K]

Answer:

95% Confidence interval: (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

$\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)$

(31.32%,47.04%) is the required 95% confidence interval.

8 0

3 years ago

Which equation is equivalent to 5= 105 divided by y?

AlexFokin [52]

Answer:

1=21

Step-by-step explanation:

for every one you go up you move over 21

8 0

2 years ago

How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

miss Akunina [59]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

$\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\$

Following are the graph attachment to this question:

The second function, that is $g(x)= (\frac{2}{3})^x$ is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

8 0

3 years ago

Read 2 more answers

Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own

igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

$x+y=28,000...(1)$