(EXTRA POINTS) Which of the following relations is a function?<br><br><br><br> file in question

Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w

ArbitrLikvidat [17]

Answer:

$(\frac{7}{2})^{2}$

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

$x^2+7x-11=0$

His First Step is to: Take the Constant Term to the Right Hand Side

$x^2+7x=11$

The Next Step Would be to:

Divide the Coefficient of x by 2
Square It
Add it to both Sides

In this case, the Coefficient of x = 7

Divided by 2 = $\frac{7}{2}$

Squaring It, we have: $(\frac{7}{2})^{2}$

It is this number $(\frac{7}{2})^{2}$ that is added to both sides in the manner below:

$x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}$

6 0

4 years ago

To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data

nexus9112 [7]

Answer:

a) $\sigma = 0.167$

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of $\mu$ . So $X - \mu = 0.5$ must have $Z = 3$ and $X - \mu = -0.5$ must have $Z = -3$ .

So

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{0.5}{\sigma}$

$3\sigma = 0.5$

$\sigma = \frac{0.5}{3}$

$\sigma = 0.167$

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that $\sigma = 2.8$

The standard deviation of a sample of n young man is given by the following formula

$s = \frac{\sigma}{\sqrt{n}}$

We want to have $s = 0.167$

$0.167 = \frac{2.8}{\sqrt{n}}$

$0.167\sqrt{n} = 2.8$

$\sqrt{n} = \frac{2.8}{0.167}$

$\sqrt{n} = 16.77$

$\sqrt{n}^{2} = 16.77^{2}$

$n = 281.23$

We need a sample of at least 282 young men.

6 0

3 years ago

A dinner table is a perfect circle with a diameter of 8 feet. With dinner plates that each a diameter of exactly 1 foot, how muc

Harlamova29_29 [7]

The area of the tablecloth showing is approximately 45.55 square feet

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called as the area of the circle.

It is given that:-

The diameter of the dinner table, D = 8 feet

The diameter of each plate, d = 1 feet

The number of people at the dinner table = 6 people

The number of plates = 6 plates

The area of the table cloth, A₁ = π·D²/4

∴ A₁ = π × 8²/4

The area covered by the 6 plates, A₂ = 6·π·d²/4

A₂ = 6 × π × 1²/4

Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;

A = A₁ - A₂

∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²

Therefore the area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²

To know more about an area follow

brainly.com/question/25292087

#SPJ1

8 0

2 years ago

Find the slope and y-intercepts <br> f(x)= -1/2x - 2

gavmur [86]

Answer:

slope: -1/2

y-intercept: -2

Step-by-step explanation:

f(x) = mx+b

m is slope

b is the y-intercept

so

if f(x) = -1/2x - 2

then

the slope or m is -1/2

and the y-intercept or b is -2

4 0

4 years ago

A bag has 3 red marbles, 2 blue, 4 green and 1 yellow. What is the theoretical probability of pulling a red marble? Write your a

Dimas [21]

Answer:

3/10,.3,30%

Step-by-step explanation:

3 0

3 years ago

(EXTRA POINTS) Which of the following relations is a function? file in question