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Likurg_2 [28]
2 years ago
8

Suppose your vehicle is licensed in a state that issues license plates that consist of three digits (between 0 and 9) followed b

y three letters (between a and z). if a license number is selected randomly, what is the probability that yours is the one selected? round the answer to 10 decimal places (e.g.0.0123456789).
Mathematics
1 answer:
BabaBlast [244]2 years ago
6 0

There are 10³×26³ = 17,576,000 possible different plates. If any of those is randomly chosen, the probability of picking one in particular is

... 1/17576000 ≈ 0.0000000569

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O is the centre of the circle, EF is a tangent, angle BCE=28 degrees, angle ACD=31 degrees.
Yuki888 [10]

Answer:

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

a. because angle between tangent and chord is equal to the angle(s) in alternate segment.

b. because angles in triangles add up to 180˚, 180-28=152 and because isosceles triangle, 152/2=76˚

c. because angles in triangles add up to 180˚ and opposite angles in a cyclic quadrilateral add up to 180˚, 31+76=107, 180-107=73, 73-28=45, angles in triangle so 180-(31+45)=104˚

d. 28*2=56˚ because angles at circumference are half angles at centre

4 0
2 years ago
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. T
torisob [31]

Answer: This is what Khan Academy said the answer was

7 0
2 years ago
The back of Monique’s property is a creek. Monique would like to enclose a rectangular area, using the creek as one side and fen
gogolik [260]

Answer:

4050 sq. feet.

Step-by-step explanation:

Fencing is done on three sides of the rectangular area.

Given that there are 180 feet of fence available.

Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.

Now, the area of the plot is given by A = LW

Now, from equation (1), we ger A = L (180 - 2L) ..... (2)

Then differentiating with respect to L in the both sides we get,

\frac{dA}{dL} = 180 - 4L =0 {Since condition for Area to be maximum is \frac{dA}{dL}=0}

⇒ L = 45 feet.

Now, from equation (2), we have A_{max} =L(180-2L) = 45(180 - 90) =4050 square feet.

3 0
2 years ago
Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
2 years ago
At barlow school ,4/9 of the 873 students are boys
Maksim231197 [3]

Answer:

=Barlow by 181 boys

Step-by-step explanation:

lets calculate the no of boys in Barlow

=4/9×873=388

388 boys

in Willow school

to bet no of boys

3/3-2/3=1/3

1/3×620=207(in a calculator it will give you decimals so i rounded of to the nearest whole no.)

388-207=181

8 0
2 years ago
Read 2 more answers
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