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3 years ago

HELP ASAP!!! What is the slope of this line? (DO NOT ANSWER WITH A LINK!!!)

Mathematics

2 answers:

algol [13]3 years ago

6 0

Answer:

-2/3

Step-by-step explanation:

the triangle on the line is 2 by 3 and the slope formula is:

rise over run aka length over height!

Since the line is going downhill it would be negative!

Hope this helped!

larisa86 [58]3 years ago

3 0

Answer:

-2/3

Step-by-step explanation:

Start with looking at the y-axis, and count down the line until you get to a definite point. So we can see there is a definite point at (0,4) and (3,2). To get from (0,4) to (3,2), we have to go down 2 (-y) and to the right by 3 (positive x).

Slope formula is y/x, so our slope would be -2/3!

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Step-by-step explanation:

$\frac{ {x}^{3} }{ {x}^{3} } = {x}^{3 - 3} \\ = {x}^{0} \\ = 1$

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3 years ago

Find the area of each triangle with the given heights and bases. a. h = 6 inches; b = 10 inches b. h = 9 centimeters; b = 4 cent

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3 years ago

A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg

polet [3.4K]

Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

$P(X = x) = nCx p^{x} q^{n - x}$

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111$

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662$

Finally, the probability that 2 or fewer students will withdraw is

$P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355$

b) Compute the probability that exactly 4 will withdraw.

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304$

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

$P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716$

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

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4 years ago

Is the percent increase from 50 to 70 equal to the percent decrease from 70 to 50? Explain.

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

Percent change is the difference in numbers divided by initial number converted to percent value.

Percent increase:

(70 - 50)/50*100% = 40%

Percent decrease:

(70 - 50)/70*100% = 28.57%

Compare:

40% ≠ 28.57%

4 0

2 years ago

Read 2 more answers

Circle O has a circumference of 36π cm.

ehidna [41]

Answer:

r = 18 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr.

Hence,

2πr = 36π

r = 18 cm

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3 years ago