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mash [69]
3 years ago
9

How would you find out how many sixth through eighth grade students are interested in joining a running club? Explain how to cho

ose a sample that will give you a good representation of a whole population.
Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

The sample should be a random sample from the entire set of students and should include enough students to be reliable. Small samples have more variation, which leads to less reliable inferences.

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If (2i/2+i)-(3i/3+i)=a+bi, then b=
max2010maxim [7]

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

=  (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

=  5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

6 0
3 years ago
Kaitlyn opens an account with an initial deposit of $7,250. The account earns 10% interest compounded annually. What is the amou
guapka [62]

Answer:

the interest earned amount is $1,114.251

Step-by-step explanation:

The computation of the interest earned is shown below:

But before that the future value is

= Present value × (1 + rate of interest)^number of years

= $7,250 × (1 + 0.10)^1.5

= $7,250 × 1.10^1.5

= $8,634.251

Now the interets earned is

= $8,634.251 - $7,250

= $1,114.251

Hence, the interest earned amount is $1,114.251

3 0
3 years ago
A pyramid has a base with a demension 5 inches by 7 inches .The height of the pyramid is unknown .If the volume of the pyramid i
Ulleksa [173]

Answer:

9 inches

Step-by-step explanation:

The volume of a pyramid is given as:

V = \frac{l* w*h}{3}

where l = length of base of pyramid

w = width of base of pyramid

h = height of pyramid

The volume of the cylinder is already known ( 105 in^3 ) and the other two dimensions are known as 5 in and 7 in.

From the formula of the volume of the pyramid, the height of the pyramid is given as:

h = \frac{3V}{l*h}

Hence, the height of the pyramid is:

h = \frac{3 * 105}{5 * 7}\\ \\h = \frac{315}{35} = 9in

The pyramid's height is 9 inches.

7 0
3 years ago
Read 2 more answers
Warm-up
Vitek1552 [10]

Answer:

the percent is 18

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
At a university, 60% of the 7,400 students are female. The student newspaper reports the results of a survey of a random sample
omeli [17]

Given Information:

Population mean = p  = 60% = 0.60

Population size = N = 7400

Sample size = n = 50

Required Information:

Sample mean = μ = ?

standard deviation = σ = ?

Answer:

Sample mean = μ = 0.60

standard deviation = σ = 0.069

Step-by-step explanation:

We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10

np ≥ 10

50*0.60 ≥ 10

30 ≥ 10 (satisfied)

n(1 - p) ≥ 10

50(1 - 0.60) ≥ 10

50(0.40) ≥ 10

20 ≥ 10  (satisfied)

The mean of the sampling distribution will be same as population mean that is

Sample mean = p = μ = 0.60

The standard deviation for this sampling distribution is given by

\sigma = \sqrt{\frac{p(1-p)}{n} }

Where p is the population mean that is proportion of female students and n is the sample size.

\sigma = \sqrt{\frac{0.60(1-0.60)}{50} }\\\\\sigma = \sqrt{\frac{0.60(0.40)}{50} }\\\\\sigma = \sqrt{\frac{0.24}{50} }\\\\\sigma = \sqrt{0.0048} }\\\\\sigma =  0.069

Therefore, the standard deviation of the sampling distribution is 0.069.

4 0
3 years ago
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