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zhannawk [14.2K]
3 years ago
5

There are 50 states in the US. What is the probability of selecting a state in the continental US?

Mathematics
2 answers:
AysviL [449]3 years ago
8 0
1 in 48 as there are 48 continental US
sdas [7]3 years ago
4 0
1 in 48 because only 48 are continental
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Having 500 pennies, or 20 quarters
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4 years ago
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on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of
Mars2501 [29]

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m

7 0
3 years ago
What is the answer for this one?
lapo4ka [179]

Answer:

<em>Option B</em>

Step-by-step explanation:

We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;

a^2 + b^2 = c^2,\\( 1 )^2 + ( 2 )^2 = c^2,\\\\1 + 4 = c^2,\\c^2 = 5,\\\\c = ( About ) 2.2

<em>Solution; Option B</em>

7 0
4 years ago
My question is 2/5 of a number is 14 what's the number
timofeeve [1]
First divide 14 by 2 which brings you to 7. Now multiply 7 by 5 and your total number would be 35. Hope I helped!

7 0
4 years ago
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Random variables X Poisson~ ( a) ,Y Poisson ~ ( a) . X and Y are independent. If 2 1, 2 1. U =2X+ Y-1, V=2X- Y +1. Find: ) Cov (
german

By definition of covariance,

\mathrm{Cov}(U,V)=E[(U-E[U])(V-E[V])]=E[UV-E[U]V-UE[V]+E[U]E[V]]=E[UV]-E[U]E[V]

Since U=2X+Y-1 and V=2X-Y+1, we have

E[U]=2E[X]+E[Y]-1

E[V]=2E[X]-E[Y]+1

\implies E[U]E[V]=(2E[X]+E[Y]-1)(2E[X]-(E[Y]-1))=4E[X]^2-(E[Y]-1)^2=4E[X]^2-E[Y]^2+2E[Y]-1

and

UV=(2X+Y-1)(2X-(Y-1))=4X^2-(Y-1)^2=4X^2-Y^2+2Y-1

\implies E[UV]=4E[X^2]-E[Y^2]+2E[Y]-1

Putting everything together, we have

\mathrm{Cov}(U,V)=(4E[X^2]-E[Y^2]+2E[Y]-1)-(4E[X]^2-E[Y]^2+2E[Y]-1)

\mathrm{Cov}(U,V)=4(E[X^2]-E[X]^2)-(E[Y^2]-E[Y]^2)

\mathrm{Cov}(U,V)=4V[X]-V[Y]=4a-a=\boxed{3a}

7 0
4 years ago
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