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Harrizon [31]
1 year ago
13

A sample has a sample proportion of 0.3. which sample size will produce the

Mathematics
1 answer:
jasenka [17]1 year ago
7 0

The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

<h3>What are population and sample?</h3>

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

A sample has a sample proportion of 0.3.

Level of confidence = 95%

At the same confidence level, the larger the sample size, the narrower the confidence interval.

As we have a 95% confidence interval the sample size should be lower.

The sample size from the option = 36 (lower value)

Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ1

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Creating an Exponential Model
belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61  (to the nearest cent)

P(1+r)^t

$524.70  (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

<u>How much she'll owe in 4 years</u>

P = 300

r = 0.15

n = 12

t = 4

P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}

= $544.61  (to the nearest cent)

<u>Yearly compounding interest rate</u>

P(1+r)^t

<u>How much she'll owe in 4 years at yearly compounding interest</u>

P(1+r)^t=300(1+0.15)^4

= $524.70  (to the nearest cent)

7 0
2 years ago
A cylinder shaped can needs to be constructed to hold 600 cubic centimeters of soup. The material for the sides of the can costs
PSYCHO15rus [73]

Answer:

the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

Step-by-step explanation:

since the volume of a cylinder is

V= π*R²*L → L =V/ (π*R²)

the cost function is

Cost = cost of side material * side area  + cost of top and bottom material * top and bottom area

C = a* 2*π*R*L + b* 2*π*R²

replacing the value of L

C = a* 2*π*R* V/ (π*R²) + b* 2*π*R²  = a* 2*V/R + b* 2*π*R²

then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then

dC/dR = -2*a*V/R² + 4*π*b*R = 0

4*π*b*R = 2*a*V/R²

R³ = a*V/(2*π*b)

R=  ∛( a*V/(2*π*b))

replacing values

R=  ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm

then

L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm

therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm

5 0
3 years ago
Which graph correctly solves the system of equations below? y = −x2 + x + 7 y = x2 + 3x + 7
antiseptic1488 [7]

Answer:

(-1.703, 2.396)

(1.37, 6.493)

Step-by-step explanation:

We can easily solve this question by using a plotting tool or any graphing calculator,

The solution to the system of equation is given by the intersection points between the graphs of

y1 = −x^2 + x + 7

y2 = x^2 + 3x + 7

Please, see attached picture below.

The solutions are:

(-1.703, 2.396)

(1.37, 6.493)

5 0
2 years ago
Please help me I need it bow
Tanzania [10]

Answer: A

Step-by-step explanation:

If the fraction is negative, and the numerator and denominator is negative, then if you were to do anything to them it would become a positive

6 0
3 years ago
Read 2 more answers
1/5 of the students at Kendall Middle School are in 6th grade. 3/7 of the students at Kendall Middle School are in 8th grade. Wh
ELEN [110]
13/35 because you have to find the common denominator which would be 35 and in order to get 7 to 35 you have to multiply the whole thing by 5 making the fraction equal 15/35 and you have to multiply the other fraction by 7 making it 7/35 add the two together which would equal 22/35 so to make that 35/35 it would have to be 13/35 
4 0
2 years ago
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