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Karo-lina-s [1.5K]
3 years ago
7

A line contains the points (4,2) and (0,-1).Which is thge equation of the line

Mathematics
1 answer:
sammy [17]3 years ago
3 0
Y = 3x/4 - 1

Taking (-1-2)/(0-4) gives the slope of the line to be 3/4. Substituting x = 0 gives the y-intercept as -1.
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A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,
Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

  • n = 38 --- the number of slots
  • red = 18. --- the number of red slot
  • black = 18. --- the number of black slot
  • green = 2. --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

p = \frac{18}{38}

Simplify

p= \frac{9}{19}

The probability that the ball does not land on a red slot is calculated as:

q = \frac{18+2}{38}

q = \frac{20}{38}

Simplify

q = \frac{10}{19}

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

P(R = r) = ^nC_rp^rq^{n-r}

Where:

n = 7

r = 3

So, we have:

P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}

P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4

P(R = 3) = 0.2854

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0
2 years ago
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What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is
wariber [46]

Cost price:-

\\ \sf\longmapsto 35\times 20

\\ \sf\longmapsto 700

  • Commision=$6
  • Total sold price=815+6=823$

Now

Return=823-700=123

Rate of return

\\ \sf\longmapsto \dfrac{123}{700}\times 100

\\ \sf\longmapsto \dfrac{123}{7}

\\ \sf\longmapsto 17.5\%

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Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How
sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - \frac{rate}{100} )

or, The new amount paid to mechanics per hour =  $ 20 × ( 1 - \frac{5}{100} )

I.e The new amount paid to mechanics per hour =  $ 20 × 0.95

∴ The new amount paid to mechanics per hour =  $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0
3 years ago
I need to know how to round to the nearest hundredth in the number 1.120
ryzh [129]
You can either round to 1000 or 2000 but 1.120 is closer to 1000
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Julien's parents want $64,000 at the end of 3 years. They put their money in an account that yields 10% per year compounded mont
Leto [7]

Answer: \$47,471

Step-by-step explanation:

Given

Julien's parents want $64,000 at the end of 3 years

The rate of interest is 10% annually

Suppose they invested P amount initially

So, compound interest, compounded monthly is

\Rightarrow A=P\left( 1+\frac{r}{n}\right)^{nt}\quad [\text{n=Numner of compounding periods}]\\\\\text{Insert the values}\\\Rightarrow 64,000=P\left( 1+\frac{0.10}{12}\right)^{12\times 3}\\\\\Rightarrow 64,000=P\left( 1+\frac{10}{12}\right)^{36}\\\\\Rightarrow P=\dfrac{64000}{1.3481}\\\\\Rightarrow P=\$\ 47,471.37\approx \$ 47,471

7 0
2 years ago
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