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3 years ago

Which equation describes a line

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Answer:

A line has equation y = ax + b, perpendicular to the line y = -5x - 4

=> a x (-5) = -1 => a = 1/5.

This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3

=> Equation of this line: y = (1/5)x + 3

Hope this helps!

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What is the slope of the line in the graph below? (look at picture)

attashe74 [19]

The answer is 3/4! Explanation: use slope formula

5 0

3 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0

4 years ago

Give 5 reasons explaining why math is your favorite subject.

maks197457 [2]

Answer:Math is important

Step-by-step explanation:

It could help you get into collage and get a good job and with that you could start your life.

3 0

3 years ago

Read 2 more answers

Find y Solve the simultaneous equations 3x + 2y = 27 3x - Y = 9

lutik1710 [3]

Answer:

$y = 6$

Step-by-step explanation:

To find $y$ , we need to eliminate $x$ in this system of equations:

$3\cdot x + 2\cdot y = 27$ (1)

$3\cdot x - y = 9$ (2)

From (1) and (2):

$x = \frac{27-2\cdot y}{3}$

$x = \frac{9+y}{3}$

Then, we equalize both expressions and solve for $y$ :

$\frac{27-2\cdot y}{3} = \frac{9+y}{3}$

$27-2\cdot y = 9 + y$

$3\cdot y = 18$

$y = 6$

6 0

3 years ago

The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis

andreyandreev [35.5K]

Answer:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable $x$ to represent the money earned during fundraising activities and $M$ for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

$M = 60\%\ of\ x\\OR\\M = 0.6x$

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

$M = 0.6 \times 72\\\Rightarrow \$43.2$

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

$850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67$

So, the answers are:

a. Let the variable be $x$ for the fundraising activities and $M$ as the revenue for foundation.

b. $M =0.60x$

c. $43.2

d. $1416.67

5 0

3 years ago