The kinetic energy of a moving object, E joules, is directly proportional to the square

In the cube shown below, the distance between vertices 2 and 6 is 15 cm.

sveta [45]

45 squared centimeters

4 0

3 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

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

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

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

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0

3 years ago

Write an equation that represents the line.<br> Use exact numbers.

Greeley [361]

Answer:

Step-by-step explanation:

it is hard to know exactly by eye balling the graph I can't dissern the y intercept it might be 4.5 but it could be 4.33, but it looks for sure like the x intercept equals 6 but does it

the dots on the line are at (-2, -6) and (2, 3) so we can find the slope m

in the y = mx + b line equation b is the y intercept

m = Δy/Δx = (y1 - y2) / (x1 - x2)

= (-6 - -3) / (-2 - 2)

= -3 / -4

m = 3/4

y = 3x/4 + y intercept which i can't dissern (read directly from the

graph, but we believe y = 0 when x is six

0 = 3(6)/4 + y intercept

-18/4 = 18/4 -18/4 + y intercept

-9/2 = y intercept

-4.5 = y intercept

y = 3x/4 - 9/2 i think exact number means NO FRACTIONS but that is whole number so let me gaggle it What are exact numbers? Gaggle indicates exact numbers are integers example 3 ft in a yard 12 eggs in a dozen

y = 3x/4 - 9/2 multiple both sides by 4

4y = 3x - 36/2

4y = 3x - 18 <------------------ FINAL ANSWER

7 0

3 years ago

The drama club is selling tickets to its play. An adult ticket costs $15 and a student ticket costs $11. The auditorium will sea

spin [16.1K]

Answer:

83 adult tickets and 217 student tickets.

Step-by-step explanation:

Let number of adult tickets sold = $x$

Given that total number of tickets = 300

So, number of student tickets = 300 - $x$

Cost of adult ticket = $15

Cost of student ticket = $11

Total collection from adult tickets = $ $15x$

Total collection from student tickets = $(300-x)\times 11 = 3300-11x$

Given that overall collection = $3630

$15x+(3300-11x) = 3630\\\Rightarrow 15x-11x=3630-3300\\\Rightarrow 4x = 330\\\Rightarrow x = 82.5$

So, for atleast $3630 collection, there should be 83 adult tickets and (300-83 = 217 student tickets.

Now , collection = $3632

4 0

3 years ago

Find the equation of the line with slope = -4 and passing through (9,-29). Write your equation in the form

Vlad [161]

Answer:

y = -4x + 7

Step-by-step explanation:

As we can see, we want to write the equation of the line

we have this as;

y = -4x + b

To get the y-intercept, we use the values in the point given

we substitute x = 9 and y = -29

So we have;

-29 = -4(9) + b

-29 = -36 + b

b = 36-29

b = 7

So the equation is;

y = -4x + 7

8 0

3 years ago