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statuscvo [17]
1 year ago
15

There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7.5 and the standard de

viation was 1.6. The margin of error, assuming a 95% confidence level, is approximately . Round to the nearest hundredth
Mathematics
2 answers:
kirill [66]1 year ago
5 0
0.17 sense you have to round it to the nearest hundreth


Oksi-84 [34.3K]1 year ago
3 0

Answer with explanation:

Total Population Being Surveyed = 324

Mean of the Population = 7.5

Standard Deviation =1.6

Margin of Error is given by the formula

    =Z_{\text{value at 95 percent confidence interval}}\times \frac{\text{Standard deviation}}{\sqrt{\text{Sample size}}}\\\\=1.96 \times \frac{1.6}{\sqrt{324}}\\\\=1.96\times \frac{1.6}{18}\\\\=\frac{3.136}{18}\\\\=0.1742

Marginal of Error = 0.17 (approx)  

Mean =7.5

Confidence Interval for a population when Z score at 95% is calculated  =Mean \pm margin of error

    =that is between ,7.50 +0.17 to ,7.50 -0.17

  =Between ,7.33 to 7.67

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marysya [2.9K]

Answer:

The value of q that maximize the profit is q=200 units

Step-by-step explanation:

we know that

The profit is equal to the revenue minus the cost

we have

R(q)=3q-0.002q^{2} ---> the revenue

C(q)=200+2.2q ---> the cost

The profit  P(q) is equal to

P(q)=R(q)-C(q)

substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

P(q)=3q-0.002q^{2}-200-2.2q

P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the value of q that maximize the profit

The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

6 0
2 years ago
silvia compro la misma licuadora que daniela, que costaba $355.5, pero como abonó con tarjeta de credito, le recargaron un 16%,
Debora [2.8K]

Answer:

Costo final= $412.38

Step-by-step explanation:

Dada la siguiente información:

Costo inicial= $355.5

Recargo de la tarjeta= 16% = 0.16

<u>Para calcular el costo final que debe pagar Silvia, debemos usar la siguiente información:</u>

Costo final= costo inicial*(1 + recargo)

Costo final= 355.5*1.16

Costo final= $412.38

4 0
1 year ago
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
andre [41]

Answer:

80+(15x)

Step-by-step explanation:

10 times 8=80

1.5 times 10=15

so she gets 80 dollars for the first 8 hours then for every extra hour she gets 15 dollars

7 0
2 years ago
A bag of potato chips contain 0.96 grams of sodium. If the bag is split into 8 equal servings, how many grams of sodium will eac
givi [52]

Answer:

0,12 grams

Step-by-step explanation:

0,96:8=0,12

6 0
2 years ago
On a piece of paper, graph y&lt; x-3. Then determine which answer matches<br> the graph you drew
Aneli [31]

Answer:

The graph is shown below.

Step-by-step explanation:

Given:

The inequality of a line to graph is given as:

y

In order to graph it, we first make the 'inequality' sign to 'equal to' sign. This gives,

y=x-3

Now, we plot this line on a graph. The given line is of the form:

y=mx+b Where, 'm' is the slope and 'b' is the y-intercept.

So, for the line y=x-3, m=1,b=-3

The y-intercept is at (0, -3).

In order to draw the line correctly we find another point. Let the 'y' value be 0.

Now, 0=x-3\\x=3

So, the point is (3, 0).

Now, we mark these points and draw a line passing through these two points.

Now, consider the line inequality y. The 'y' value is less than x-3. So, the solution region will be region below the line and excluding all the points on the line. So, we draw a broken line and shade the region below it.

The graph is shown below.

5 0
2 years ago
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