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bezimeni [28]
3 years ago
12

There are 40 students,

Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

answer

\frac{621}{2000} ≈ 0.31 = 31 %

set up equation

the probability of someone from the first group having brown eyes is \frac{students-with-brown-eyes-in-first-group}{total-students-in-first-group }

the probability of someone from the second group having brown eyes is \frac{students-with-brown-eyes-in-second-group}{total-students-in-second-group }

so the probability of both students having brown eyes is\frac{students-with-brown-eyes-in-first-group}{total-students-in-first-group }*\frac{students-with-brown-eyes-in-second-group}{total-students-in-second-group }

values

students with brown eyes in first group = 27

total students in first group = 40

students with brown eyes in second group = 23

total students in second group = 50

plug in values and solve

\frac{students-with-brown-eyes-in-first-group}{total-students-in-first-group }*\frac{students-with-brown-eyes-in-second-group}{total-students-in-second-group }

= \frac{27}{40} *\frac{23}{50}

= \frac{27 * 23}{40 * 50}

= \frac{621}{2000}

≈ 0.31

= 31 %

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Monica [59]
Substitute each x and the respecting y to the equation
3 0
3 years ago
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

5 0
3 years ago
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liraira [26]
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you then plug that into your equation.

y=mx+b

y=.54x+b

you substitute one of our coordinates.

(-4,-1)

-1=.54(-4)+b

-1=-3.45+b

+3.45

2.45=b

your equation is

y=.54x+2.45

standard form


y-.54x=2.45
5 0
3 years ago
Solve for x <br>x/3 = 5/8​
dlinn [17]

Answer:

x = 15/8

Step-by-step explanation:

x/3 = 5/8

Using cross products

8x = 3*5

8x = 15

Divide each side by 8

8x/8 = 15/8

x = 15/8

3 0
3 years ago
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d1i1m1o1n [39]

Answer:

3/10

Step-by-step explanation:

Subtract the sum of 1/3, 4/15 and 1/10 from 1:

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                                   Then:  1 - 7/10 = 3/10

6 0
3 years ago
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