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3 years ago

13

Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be

driving during any given kilometer.

2 answers:

Tanzania [10]3 years ago

4 0

Answer:3/8

Step-by-step explanation:Khan academy

Gnesinka [82]3 years ago

3 0

Answer:

$\frac{3}{8}$

Step-by-step explanation:

P (Anna) + P (Irina) + P ( Avel) + P (Vlad) = $1$

$\frac{1}{8}+\frac{3}{8}$ $+$ P (Avel) $+$ $\frac{1}{8}$ $= 1$

P (Avel) $= 1 - \frac{1}{8} - \frac{3}{8} - \frac{1}{8}$

P (Avel) $= \frac{3}{8}$

The probability that Avel will be driving during any given kilometer is $\frac{3}{8}$ .

You might be interested in

If f(x) = 4x^2 and g(x) = x+1, find (f.g)(x).

Mandarinka [93]

Answer:

4x^3 + 4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x + 1

=> (f.g)(x) = 4x^2*(x + 1) = 4x^3 + 4x^2

Hope this helps!

3 0

3 years ago

An Ontario lottery has the following structure, the first person drawn from the names wins $15 000. Each subsequent person drawn

elixir [45]

The first four terms are : 15000, 14850, 14700, 14550
a = 15000 ; d = -150
The explicit formula is : $a_{n} = - 150n \: + 15150$

The first term of the sequence, a = 15,000

Each subsequent winner gets $150 less

Hence, the common difference, d = - $150

The first four terms :

First term, a1 = $15000

Second term, a2 = a - d = $15000 - $150 = $14850

Third term, a3 = a2 - d = $14850 - $150 = $14700

Fourth term, a4 = a3 - d = $14700 - $150 = $14550

a, for the sequence is the first term = $15000

d, for the sequence is the common $150 (difference between successive wins).

Explicit formula for the general term :

$a_{n} \: = nd \: + c$

For n = 1

$15000 = 1( - 150) + c$

$15000 = - 150 + c$

$c = 15150$

Hence, the explicit formula for the nth term is :

$a_{n} \: = - 150n \: + 15150$

Learn more : brainly.com/question/12006170

3 0

2 years ago

Given the equation y = 2 x - 8, what is the slope and the y -intercept?

jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

m=2 and b=-8

I hope this helps!

4 0

2 years ago

Which expression is equivalent to 4(x^3)(2x)^-4

AVprozaik [17]

Answer:

= $\frac{4x^{3}}{16 x^{4}}$

Step-by-step explanation:

$4(x^{3} )(2x)^{-4}$

= $\frac{4x^{3}}{(2x)^{4}}$

= $\frac{4x^{3}}{2^{4} x^{4}}$

= $\frac{4x^{3}}{16 x^{4}}$

3 0

3 years ago

Solve the equation<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7Dx%20-%2017%20%3D%2010" id="TexFormula1" titl

Annette [7]

Answer:

x = 72

Step-by-step explanation:

<u>To solve for 'x', isolate it</u>. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

<u>When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations</u>. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, <u>what you do to one side you have to do to the other</u>.

$\frac{3}{8}x-17=10$ Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$ Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$ Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$ To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$ Combine the factors into one fraction.

$x=\frac{27*8}{3}$ Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$ Simplify the fraction by dividing top by bottom.

$x=72$ Final answer, solved for 'x'

5 0

2 years ago