Divide: 1/2÷1/10
SHOW WORK

Using the binomial distribution, it is found that:

a)

b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Item a:

[tex]E(X) = np = 40(0.3) = 12[/tex]

[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]

Hence:

Item b:

The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:

[tex]E(X) = \frac{q}{p}[/tex]

In this problem, one success, hence [tex]q = 1[/tex] and:

[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]

They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Using proportions, it is found that the expression that shows the total height of Grandma Maude’s cake is:

[tex]t = 12x^5 + 5x^3 - 2x[/tex]

The rule of three is:

1 layer - [tex]2 + 3x^2[/tex] cm

[tex]4x^3 - x[/tex] layers - t cm

Applying cross multiplication:

[tex]t = (4x^3 - x)(2 + 3x^2) = 12x^5 + 5x^3 - 2x[/tex]

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

12x5 + 5x3 – 2x cm

Step-by-step explanation:

Answer:

angle BEC is congruent to angle FEG (vertical opposite angles)

other than that, I'm not sure if the other angles are congruent bc of their marks.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Slope is rise over run. Pick two points and then count the rise and run. The rise in this case is one and the run is 2 and one over 2 is 1/2

[tex]Hiya![/tex]

Sokka is here to help!

[tex]C.[/tex]

Because, All you need to do is.. Find the slope of proportional graph, by y and x, Which the line is [tex]\frac{4}{2}[/tex].

[tex]And, \frac{4}{2} =\frac{1}{2} .[/tex]

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

Yes, it does

Step-by-step explanation:

More Men like the Pizza and Hambugers more than the girls. Both like shushi Equaly but 2 beats 1 am a right.

Answer:

A = (0,1)

B = (1,-1)

C = (-1,-1)

Step-by-step explanation:

If this helped leave a brainliest

Answer:

3b

Step-by-step explanation:

Answer:

[tex] -\frac{1}{2}x + 4[/tex]

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

Answer 1.2 angles

and 203 left cm

Answer:

the answer is infinite

Step-by-step explanation:

would u like me to explain?

Answer:

-2/15

this should work

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

1 1/5 - 1/3 =

= 1 + 1/5 - 1/3

= 5/5 + 1/5 - 1/3

= 6/5 - 1/3

= 18/15 - 5/15

= 13/15

Answer:

A = 80π

Step-by-step explanation:

Area of a circle is A = πr²

Area of the the largest circle - Area of the smaller circle = the shaded part.

Largest circle    -    Area of the smaller circle   = Shaded part of circle

A  = π(12)²         -     A = π(8)²

    144π            -      64π                           =        80π

Answer:

m = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 9x + 4 ← is in slope- intercept form

with slope m = - 9

81°

Step-by-step explanation:

The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that

[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]

We then see that

[tex]\angle{3} = 180° - 99° = 81°[/tex]

Answer: 81 i believe

Step-by-step explanation:

Answer:

[tex] \frac{vw}{gf} = \frac{uv}{hg} [/tex]

[tex] \frac{72}{132} = \frac{6x + 12}{143} [/tex]

[tex] \frac{6}{11} = \frac{6x + 12}{143} [/tex]

Now we cross multiply

6×143=11(6x+12)

858=66x+132

858-132=66x

726=66x

x=11

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

Answer:

64

Step-by-step explanation:

since ms. rivera has 8 more pink markers than yellow markers you would add 8 and get 22, so she has 22 pink markers and 14 yellow. for the blue markers it says she has 6 more blue markets than pink so you would add 6 to the 22 pink markers and get 28.

So ms. rivera has 14 yellow, 22 pink, 28 blue

add them all together and you get 64.

The total number of markers Mrs. Rivera have in her desk is 64.

Given that, Ms. Rivera’s desk, there are 14 yellow markers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the total number of markers be x.

There are 8 more pink markers than yellow markers

So, number of pink markers = 14+8

= 22

There are 6 more blue markers than pink markers

So, number of blue markers = 22+6

= 28

Here, x= Number of yellow markers + Number of pink markers + Number of blue markers

= 14+22+28

= 64

Therefore, the total number of markers Mrs. Rivera have in her desk is 64.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Answer:

7.2 hours

Step-by-step explanation:

24 · 0.3 = 7.2

Answer:

50 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

400 miles / 8 gallons

50 miles per gallon

Answer:

50 miles

Step-by-step explanation:

if for each 8 gallons it can go to 400 miles

so the 8 will be divided to 8 and get 1

and also divide the 400 into 8 you will get 50 miles per 1 gallon

Answer:

3. The sequence is not arithmetic because the terms do not have a common difference.

Step-by-step explanation:

These are ordered pairs in the form of (x, y), so I'll write them here with just the y from least to greatest so it's easier to read:

1, 4, 9, 16, 25

The 3 answers are:

First, look at the difference between each of the terms.

[tex]4-1=3\\9-4=5\\16-9=7[/tex]

Second, an arithmetic sequence is a sequence where each consecutive term has a common difference over the last.

Finally, that leaves only answer 3. The sequence is not arithmetic because the terms do not have a common difference.

Answer is -4

Step-by-step explanation:

8x-4< -36

8x < -36+4 (move [- 4] to the other side to find x)

8x < -32

8x < -4

Answer:

x < -4

Step-by-step explanation:

8x - 4 < -36

+4           +4 (Add 4 on both sides)

8x < -32

/8      /8        (Divide by 8 on both sides)

x < -4

Answer:

D

Step-by-step explanation:

:)

Explanation:

We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.

Answer:

x=25/6

Step-by-step explanation:

3x+11=9x-14

11=6x-14

25=6x

x=25/6

Answer:

[tex]x=\cfrac{25}{6}[/tex]

or

[tex]x=4.16[/tex]

Step-by-step explanation:

[tex]3x+11=9x-14[/tex]

[tex]3x+11-11=9x-14-11[/tex]

[tex]3x=9x-25[/tex]

[tex]3x-9x=9x-25-9x[/tex]

[tex]-6x=-25[/tex]

[tex]\cfrac{-6x}{-6}=\cfrac{-25}{-6}[/tex]

[tex]x=\cfrac{25}{6}[/tex]

Have a good day!

To combine like terms, you have to add the same variables and all

First You have to find if the Numbers are positive or Negative

2s is positive

4w is Negative because i has Minus sigh before it

5 is Positive because it has added sigh

6s s Positive because it has added sign

Second you have to find the Like terms

2s+6s=8s

so, the new equation is

8s-4w+5.

That is the simplest

If you have questions just ask me I went through it pretty fast

108/72  x 100% = 150%

Answer:

n=22.23

Step-by-step explanation:

21+n=43.23

-21 to both sides

0+n=22.23

n=22.23