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The formula for the nth square number is S_n = n^2. Use the formula to find the 11th square number.

Klio2033 [76]

Answer:

121.

Step-by-step explanation:

$S_{11} = 11^{2} = 121.$ So, the 11th square number is 121.

4 0

3 years ago

The volume of a sphere is 500/3π cubic units.

Leya [2.2K]

Its 5 ..................

7 0

2 years ago

Read 2 more answers

PreCalc work, Need help with writing piece wise functions with graphs level 2. Giving branliest.

Natalija [7]

The piece-wise linear functions can be written as follows:

$f(x) = -0.5x + 3, x < 5$ .

$f(x) = -5, x = 5$

$f(x) = -x + 9, x > 5$ .

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:

m = (2 - 3)/(2 - 0) = -0.5.

Hence the rule is:

$f(x) = -0.5x + 3, x < 5$ .

When x = 5, the function is constant at -5, hence:

$f(x) = -5, x = 5$

For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:

m = (2 - 3)/(7 - 6) = -1.

Then:

y = -x + b

When x = 6, y = 3, hence the y-intercept is given as follows:

3 = -6 + b

b = 9.

Hence the rule is:

$f(x) = -x + 9, x > 5$ .

More can be learned about linear functions at brainly.com/question/25537936

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3 0

1 year ago

Please help problem below 15 POINTS!!

solniwko [45]

$i=\frac{12*1.9x^{x} }{x}$

3 0

3 years ago

on june 28, 2012 the u.s. supreme court upheld the much debated 2010 healthcare law, declaring it constitutional. a gallup poll

avanturin [10]

a. False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. True, this is the correct interpretation of a confidence interval of proportions.

c. False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. False. As the confidence level decreases, so does z, which means that the margin of error decreases.

In a sample with a number n of people surveyed with a probability of success of, and a confidence level of, we have the following confidence interval of proportions.

In which

z is the score that has a p-value of.

The margin of error is:

So the confidence interval can be written as:

Interpreting a confidence interval:

x% confidence interval between (a,b) means that we are 95% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% confidence interval between (43%, 49%).

a. We are 95% confident that between 43% and 49% of Americans in this sample support the decision of the U.S. Supreme Court on the 2010 healthcare law.

False. The sample is 46%. We are 95% that the proportion of the population is between 43% and 49%.

b. We are 95% confident that between 43% and 49% of Americans support the decision of the U.S. Supreme Court on the 2010 healthcare law.

True, this is the correct interpretation of a confidence interval of proportions.

c. If we considered many random samples of 1,012 Americans, and we calculated the sample proportions of those who support the decision of the U.S. Supreme Court, 95% of those sample proportions will be between 43% and 49%.

False. The confidence interval does not say anything about the proportion of samples, just about the population.

d. The margin of error at a 90% confidence level would be higher than 3%.

False

As the confidence level decreases, so does z, which means that the margin of error decreases.

For more information on reasoning click on the link below:

brainly.com/question/25175983

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7 0

7 months ago