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3 years ago

9

Suppose that in a large class, the instructor announces that the average grade on an exam is 75. Which is more likely to be clos

er to 75.
The exam grade of a randomly selected student in the class or the mean exam grade of a sample of 10 students? Explain your answer.

1 answer:

Tanya [424]3 years ago

6 0

Answer:

The student's z-score will not change

Explanation:

Z-scores are used to compare results of an individual or entity to the average population's scores.

Since the adjustment of additional points is added to each class member's score, the adjustment will shift the entire distribution of scores. However, there will not be a change in the relative position of the student's score in the class. As a result, the student's z-score will not change.

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Find the circumference of the circle with 1/4 Pi square centimetre square 2<br>

otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$ $=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

= $2\pi\frac{1}{2} \sqrt{\pi}$

= $\pi \sqrt{\pi}$

putting the value of π =3.14

= $3.14\times\sqrt{3.14}$

= $3.14\times1.77$

= $5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0

3 years ago

HELP PLZ Write an equation of the line that contains the given point and has the given slope.

Kisachek [45]

Answer:

1) y=0.5x+1

2) y=-3x-1

Hope I helped!

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3 years ago

Find the x- and y- intercepts of the following equation.

Ivanshal [37]

Answer:

The x-intercept is $(4,0)$

The y-intercept is $(0,-3)$

Step-by-step explanation:

Suppose you have a function f:

$f = f(x,y) = 0$

The x-intercept is the value of x when $y = 0$ .

The x-intercept is the value of y when $x = 0$ .

Solution

We have:

$f(x,y) = -3x + 4y = -12$

$-3x + 4y + 12 = 0$

x-intercept

The x-intercept is the value of x when $y = 0$ . So:

$-3x + 4(0) + 12 = 0$

$-3x + 12 = 0$ *(-1)

$3x - 12 = 0$

$3x = 12$

$x = \frac{12}{3}$

$x = 4$

The x-intercept is $(4,0)$

y-intercept

The y-intercept is the value of y when $x = 0$ . So:

$-3(0) + 4y + 12 = 0$

$4y + 12 = 0$

$4y = -12$

$y = \frac{-12}{4}$

$y = -3$

The y-intercept is $(0,-3)$

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3 years ago

9 < 4(x+9) -7 - 25<br> Solve , intervals, and graph

Zigmanuir [339]

Answer:

x> 5/4

Step-by-step explanation:

9<4(x+9)−7−25

Step 1: Simplify both sides of the inequality.

9<4x+4

Step 2: Flip the equation.

4x+4>9

Step 3: Subtract 4 from both sides.

4x+4−4>9−4

4x>5

Step 4: Divide both sides by 4.

4x/4>5/4

x>5/4

pls give brainliest

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3 years ago

Point A is located at (-3, 9) and point B is located at (12,-10). Find the distance from point A to point B rounded to the neare

Nezavi [6.7K]

Answer:

20

Step-by-step explanation:

$\sqrt{(( - 10) - 9)^{2} + (12 - ( - 3)) ^{2} }$

$\sqrt{( - 19)^{2} + (15)^{2} }$

$\sqrt{361 + 225}$

$\sqrt{586}$

$24.2074$

7 0

2 years ago