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3 years ago

Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4) y=

Mathematics

1 answer:

Alja [10]3 years ago

3 0

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

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Please help me with this if you can? thanks alot :)))

Lynna [10]

The probabilities are:

P(red) = 5/24
P(orange) = 0
P(blue) = 1/3
P(not green)= 17/24
P(green or black) = 11/24
P(not yellow) = 1.

<h3>How to find the probabilities?</h3>

The probability of getting a particular color of marble, is given by the quotient between the number of marbles of that color and the total number of marbles.

Here we have:

5 red marbles.
7 green marbles.
4 black marbles.
8 blue marbles.

So the total number is 5 + 7 + 4 + 8 = 24.

Then:

P(red) = 5/24
P(orange) = 0/24 = 0 (because there are 0 orange marbles).
P(blue) = 8/24 = 1/3
P(not green) = (24 - 7)/24 = 17/24
P(green or black) = (4 + 7)/24 = 11/24
P(not yellow) = 24/24 = 1 (because there aren't yellow marbles).

If you want to learn more about probability, you can read:

brainly.com/question/251701

#SPJ1

5 0

2 years ago

You have a bag that contains 20 quarters, 20 dimes, and 15 nickels. When randomly selecting two coins with no replacement find t

iogann1982 [59]

Answer:

P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913

Step-by-step explanation:

probability of getting 2 quarters?

first draw: there are 20 quarters to choose from

second draw: there are 19 quarters left to choose

so Total coins are 65 coins

P(2 quarters) = P( 1st quarter)* P(2nd quarter)

P(2 quarters) = 20/65 * (19/64)

P(2 quarters) = 4/13 * 19/64

P(2 quarters) = 19/ (13*16) = 19/208

4 0

3 years ago

a village having a population of 4000, requires 150 litres of water per head per day. it has a tank measuring 20m x 15m x 6m. fo

allochka39001 [22]

The water will last for 3 days

Solution:

Given that, village having a population of 4000, requires 150 litres of water per head per day

Let us first find the volume of tank

The tank measuring 20m x 15m x 6m

Length = 20 m

Breadth = 15 m

Height = 6 m

$volume\ of\ tank = length \times breadth \times height$

$Volume\ of\ tank = 20 \times 15 \times 6 = 1800$

Thus volume of tank is 1800 cubic meter

From given,

Water required per person per day = 150 liters

Therefore, water required for 4000 people per day is:

$\rightarrow 4000 \times 150 = 600000 \text{ liters }$

Convert to meters

$600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3$

How many days will the water of this tank last?

$\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}$

$\text{Number of days water will last } = \frac{1800}{600} = 3$

Thus the water will last for 3 days

5 0

3 years ago

Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of

pochemuha

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

Total carbohydrate

carbohydrate taken from grains

×100

220

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

8 0

3 years ago

Which of these strategies would eliminate a variable in the system of equations?

Fofino [41]

Answer:

yes because a is the answer

Step-by-step explanation:

6 0

3 years ago

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