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3 years ago

What is the mean of the set of data 76, 88, 82, 94, 88.

Mathematics

2 answers:

aleksley [76]3 years ago

7 0

Answer: The mean is 85.6

Step-by-step explanation: You add them all and divide by their total number

Serjik [45]3 years ago

6 0

The answer is 85.6. Add all the numbers (428) the. divided by the amount of numbers there are.(5). so 428÷5=85.6

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sineoko [7]

The event will have 27 tables, with 2 adults and 3 children in each table.

Step-by-step explanation:

The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;

54 81----------------divided by 3

3 18 27---------------divided by 3

3 6 9---------------divided by 3

3 2 3---------------no common divisor

The greatest number of table will be given by : 3×3×3=27

The number of adults in each table will be 2

The number of children in each table will be 3

Learn More

Greatest common factor : brainly.com/question/13133626

Keyword : greatest number

#LearnwithBrainly

4 0

3 years ago

An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume

Lynna [10]

Answer:

a) $21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

b) $ME=2.58\frac{52}{\sqrt{350}}=7.17$

c) $ME=2.58\frac{52}{\sqrt{100}}=13.42$

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

$\bar X=21$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=52$ represent the population standard deviation

n=350 represent the sample size

99% confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

Part b

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{350}}=7.17$

Part c

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{100}}=13.42$

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0

3 years ago

Y=3x+4 y=36x+7 determine whether the graph of each pair of equations are parallel, pendicularbor neither

Len [333]

Parallel is the answer

6 0

3 years ago

Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the cost fu

Elina [12.6K]

A viable argument showing how it is reflected by the Cost Function for Wichita’s factory is; The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

<h3>How to Interpret Cost Functions?</h3>

From the given options, the best statement is;

The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

A cost function is a formula used to predict the cost that will be experienced at a certain activity level. Thus, the cost function for the best option is;

The cost of production per unit of item produced is 1$ as long as total units produced is less than 2500. If more than 2500 units are produced than the cost per unit actually comes down to 0.8$per unit.

The missing options are;

___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.

___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.

___ Overtime wages were required to produce at levels above 25,000 units.

Read more about Cost Functions at; brainly.com/question/14038368

#SPJ1

7 0

1 year ago

What is 3gh 2 x 4g 3h 3

Alexus [3.1K]

Answer:

(3•22g4h5)

Step-by-step explanation:

Step 1: ((3gh2 • 4) • g3) • h3

Step 2: ((3•22gh2) • g3) • h3

Step 3: 3.1 h2 multiplied by h3 = h(2 + 3) = h5

Final answer: (3•22g4h5)

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5 0

3 years ago