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2 years ago

What is the name of the shape graphed by the function theta=-4pie/3

Mathematics

1 answer:

stepan [7]2 years ago

3 0

Step-by-step explanation:

On a polar plane, the shape will be a line that goes through the pi/2- pi quadrant , and 3pi/2- 2pi quadrant

On a Cartesian or rectangular plane, the shape will be a line as well passing through 2nd and 4th quadrant

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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering

Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04$

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02$

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0

3 years ago

Please help. Marika is training for a race.

Anika [276]

Let's call n the number of days Marika's been training for the race, and $a_n$ the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so

$a_1=100$

On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:

$a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4$

It would be easier to write this continued addition as multiplication, in which case those same equations would look like

$a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)$

Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that $a_1=100+4(0)$ . In general, we can say that

$a_n=100+4(n-1)$

Which is expressed by option B.

(Bonus: What piece of information from this question did we not need to use here?)

3 0

3 years ago

which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?

luda_lava [24]

Answer:

$y=-2x+12$

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2$

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

$y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12$

7 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

castortr0y [4]

Answer:

$3.75

Step-by-step explanation:

dimes= x

quarters= x+2

nickels= 2x+2

sum is 3.75

.10x+.25(x+2)+0.05(2x+2)=3.75

.10x+.25x+.50+0.10x+0.10=3.75

0.45x=3.15

x=7 dimes (0.70)

x+2=9 quarters (2.25)

2x+2=16 nickels (0.80)

They add to $3.75

5 0

2 years ago

Read 2 more answers

Last year, Michael opened an investment account with $5400. At the end of the year, the amount in the account had decreased by 2

trapecia [35]

He would have $4131 left from $5400 with a decrease with 23.5%

8 0

3 years ago