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Dmitry [639]
2 years ago
7

250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.

If a person is selected at random, what is the probability that the person is at least 175 centimeters tall?
Mathematics
1 answer:
morpeh [17]2 years ago
4 0
250 ÷ 164 = 0.656
D. 0.656
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If ΔMNO ≅ ΔXYZ, then what corresponding parts are congruent?
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Answer:

∠N and ∠Y

Step-by-step explanation:

When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )

In triangles MNO and XYZ,

Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,

And, angles M, N and O are corresponding to angles X, Y and Z respectively,

Thus, if ΔMNO ≅ ΔXYZ

By CPCTC,

MN ≅ XY

NO ≅ YZ

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Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z

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if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb​
never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

\frac{V_2}{V_1} = 1,000

Where,

V_2 = volume of bigger bulb

V_1 = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

V_2 = ⁴/3*π*r³ = 4πr³/3

V_1 = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

\frac{V_2}{V_1} = 1,000

\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000

\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000

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r^3 = 1,000 (12pie cancels 12 pie)

r = 10 (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

3 0
2 years ago
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