The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. what is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? use the portion of the standard normal table below to help answer the question.

D) 30 mm

should be it!! GL:)

Answer:

y=12

Step-by-step explanation:

y=k*x

3=5*k

k=3/5

y= (3/5)*x

y=(3/5)*20

y=12

Answer:

1/3=2/6  d is 2/6

Step-by-step explanation:

The results of preference ballots can be time-consuming to compile

The potential difficulty with preference ballots expressed in the given options is: The results of preference ballots can be time-consuming to compile.

A preference ballot is a type of ballot used in elections where voters indicate their order of preference for the candidates or options listed on the ballot.

Instead of simply selecting one option, voters rank the options in order of their preference, usually by indicating a first-choice, second-choice, and so on.

Preference ballots require more complex calculations to determine the winner, especially when there are more than two candidates. This can result in delays in announcing the results and can be time-consuming to compile.

Thus, this can result in delays in announcing the results and can be time-consuming to compile.

For more details regarding preference ballots, visit:

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Answer:

Part A

Let d = number of dogs

Let c = number of cats

Given:

⇒ d + c = 165

Given:

⇒ c = 2d - 24

Part B

Substitute  c = 2d - 24  into  d + c = 165  and solve for d:

⇒ d + 2d - 24 = 165

⇒ 3d - 24 = 165

⇒ 3d = 189

⇒ d = 63

Substitute found value of d into  d + c = 165  and solve for c:

⇒ 63 + c = 165

⇒ c = 102

Therefore, 63 dogs and 102 cats are adopted in the shelter.

10 green cubes and 6 yellow cubes

hope it helps...!!!

Answer:

58%

Step-by-step explanation:

vertical angles are always the same

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

Answer:

I don't understand the question

Answer:

domain: ( 3,6,6)

range : (b,a,d)

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

Answer:

[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]

you made 27 of the invitations

Answer:

compute the company's price-to-earnings (P/E) ratio.

Step-by-step explanation:

When companies issue additional shares, it increases the number of common stock being traded in the stock market. For existing investors,

Answer:

$724.11

Step-by-step explanation:

This requires the use of the growth formula.

Growth Formula:

[tex]y = a*(1+r)^x[/tex]

y = total/answer

a = starting value

r = rate (1.25 = 25%)

x = the amount of time (years/months)

Equation:

[tex]y = 6200 * (1+0.028)^4[/tex]

Solving:

y = $6924.11

$6924.11 - $6200 =  total interest

$724.11

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]

Answer:

16

Step-by-step explanation:

2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

Answer:

X=^3.50
X=3/50
X=350<3.50>
Y= 2C/U-
es igual a Yx^2

Step-by-step explanation:

coronita plisss

Answer:

Step-by-step explanation:

100×96×44=100×(100-4)×44

=100×[100×44-4×44]

=100×[4400-176]

=100×4224

=422400

Answer:

422400

Step-by-step explanation:

100

x96

-------

9600

x44

----------

38400

+384000

----------------

422400

Answer:

Diameter : 14 cm

14÷2=7

Radius : 7

Step-by-step explanation:

Diameter is two time the Radius

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

Answer:

i think it would be 1550?

Step-by-step explanation:

im pretty sure you add teh weight of the three people and convert it to one ton

Answer:

[tex] {108in}^{2} [/tex]

Step-by-step explanation:

to get the surface area of a pyramid you must take half of the product of the perimeter times the slant length and THEN add the area of the base to the total.

In this problem, the perimeter is 24. Slant height is 6, and area of the base is 36

1/2(24*6)+36= 108

If this answer helped you, I would appreciate it if you gave me the brainliest :D

Answer:

15

Step-by-step explanation:

To solve you have to get x by itself on one side.

x/3+7=12

First, you move the seven over.

x/3+7-7=12-7

Simplify.

x/3=5

Now to get x by itself you can multiply both sides by 3.

x/3*3=5*3

Simplify.

x=15

Answer:

x = 15

Step-by-step explanation:

x/3 + 3⋅7/3 = 12

x+3⋅7/3=12

x+21/3

X=15

Answer:

third side = 6

using pythagoras theorem:

a² + b² = c²

Answer:

The length of the third side is 6 units

Step-by-step explanation:

We know that this is an right angled triangle , so

by using Pythagoras theorem we can find out the third side of the triangle ..

=> P² + B² = H²

=> 5² + (√11)² = H²

=> 25 + 11 = H²

=> 36 = H²

=> √36 = H

=> 6 = H

Answer:

3

Step-by-step explanation:

Answer:

C = 14[tex]\pi[/tex], A = 49[tex]\pi \\[/tex].

Step-by-step explanation:

C = Circumference, A = Area

So, the Circumference is 14[tex]\pi[/tex] and the area is 49[tex]\pi \\[/tex].

Hope this helps :)

The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line;

2x+y=8

x/4 + y/8 = 1

Coordinate for A(4, 0) and B(0, 8)

To find the coordinate C we will use external section formula:

Let (a, c) be a coordinate for C

AB : BC = 2:1

AC:BC = 3:1  

[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]

C(a, b) = (-2, 12)

Let coordinate for E(0, e) and for D(f, 0)

EC:DC=1:2 and C(-2, 12)

So after applying section formula, we will get:

E(0, -3) and D(0, 36)

Area of triangle AEC = (1/2)(7)(12) = 42 square units

Area of triangle BCD = (1/2)(28)(2) = 28 square units

ratio of area of triangle AEC : area of triangle BCD = 42:28

= 21:14

Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

Learn more about the linear equation here:

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Answer:

7.5

Step-by-step explanation: