How should the decimal point in 0.937 change to get the correct answer to 0.937 ÷ 10²?

Suppose we want a 90% confidence interval for the average amount spent on entertainment (movies, concerts, dates, etc.) by fresh

katovenus [111]

Answer:

609

Step-by-step explanation:

Standard deviation = $\sigma$ = $30

Margin of error = E = $2

Confidence level = 90%

Since the distribution is said to be normal, we will use z scores to solve this problem.

The z score for 90% confidence level = z = 1.645

Sample size= n = ?

The formula to calculate the margin of error is:

$E=z\frac{\sigma}{\sqrt{n}}\\\\\sqrt{n}=z\frac{\sigma}{E}\\\\n=(\frac{z\sigma}{E} )^{2}$

Using the values in above equation, we get:

$n=(\frac{1.645 \times 30}{2} )^{2}\\\\ n = 608.9$

This means, the minimum number of observations required is 609

6 0

3 years ago

A study found that a factory produces 6 defective computers for every 500 computers that are produced. On the average, what perc

masya89 [10]

Answer:

1.2%

Step-by-step explanation:

We know that for every 500 computers, 6 are defective. So, to know what percentage of computers are defective on average, we can do a rule of three:

500 computers -> 6 defective

100 computers -> X defective

500/100 = 6/X

X = 100 * 6 / 500 = 1.2

So, in average, for every 100 computers, 1.2 are defective, so the percentage is 1.2% (1.2 for every 100)

6 0

3 years ago

Hope researches the impact of one variable on another. She graphs the data from her research and sees that the data forms a shap

zaharov [31]

Answer:

She can determine that while there is an association between the variables, there is no correlation, and she cannot determine causation.

Step-by-step explanation:

Since there is an arch shape to her graph, we know that as one variable changes, the other changes in the same manner. This means there is an association between the variables.

However, since the graph is not linear, there is no correlation between the variables. Since there is no correlation, we cannot determine causation.

Mark me as brainiest

6 0

2 years ago

Read 2 more answers

What kind of problem do we need to use “indefinite integral” to solve? Use a real life example to explain.

anastassius [24]

Answer:

Indefinite integration acts as a tool to solve many physical problems.

There are many type of problems that require an indefinite integral to solve.

Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.

As an example consider the following example:

Suppose that we need to calculate the total force on a object placed in a non- uniform field.

As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

$E(x)=\frac{E_{o}}{e^{kx}}$

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.

But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

$dF=E(x)\times qdx\\\\dF=\frac{qE_{o}}{e^{kx}}dx$

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

$\int dF=\int \frac{qE_{o}}{e^{kx}}dx$

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.

4 0

2 years ago

The equation y = 10x shows how the

lubasha [3.4K]

$80.00 hope this helps!

4 0

2 years ago