1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darya [45]
3 years ago
13

Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?

Mathematics
1 answer:
djyliett [7]3 years ago
4 0
We cant get 2 fours in a single die.we need at least 2 die to get 2 fours.
You might be interested in
/// WORTH 70 points /// ASAP ////
belka [17]

A community is developing plans for a pool and hot tub. The community plans to form a swim team, so the pool must be built to certain dimensions. Answer the questions to identify possible dimensions of the deck around the pool and hot tub.


Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be the same width on all sides of the pool. Including the deck, the total pool area has a length of (x + 25) yards, and a width of (x + 9) yards.

Write an equation representing the total area of the pool and the pool deck. Use y to represent the total area. Hint: The area of a rectangle is length times width. (1 point)

y = (x+25)(x+9)


Rewrite the area equation in standard form. Hint: Use the FOIL method. (1 point)


y = x^2 + 9x + 25x + 9(25)


y = x^2 +34x + 225


Rewrite the equation from Part b in vertex form by completing the square. Hint: Move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each step in the hint)


y-225 = x^2 +34x


y-225 + 17^2 = x^2 +34x + 17^2


y-225 + 289 = (x+17)^2


y = (x+17)^2 - 64


What is the vertex of the parabola? What are the x- and y-intercepts? Hint: Use your answer from Part a to identify the x-intercepts. Use your answer from Part b to identify the y-intercept. Use your answer from Part c to identify the vertex. (4 points: 1 point for each coordinate point)

The vertex is where the squared term is zero, x=-17 , y =-64, (-17,-64)


The y intercept is y at x=0, so (0,225)


The x intercepts are the zeros; so at x=-25 and x=-9, aka (-25,0), (-9,0)


Graph the parabola. Use the key features of the graph that you identified in Part d. (3 points)


[Plot the points we generated and connect the dots. I'll leave the graphing to you]

In this problem, only positive values of x make sense. Why? (1 point)

<em>x</em> is the width of the pool edge; it must be positive.


What point on your graph shows a total area that includes the pool but not the pool deck? (1 point)


x=0, y=225 i.e. (0,225)



The community decided on a pool area that adds 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when x = 6 yards? (2 points)


(9+6)(25+6)=15(31)=465



Part II: A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width of the deck space around the hot tub, x.

Step 1: Write an equation for the area of the enclosed space in the form y = (side length)2. Hint: Don't forget to add x to each side of the hot tub. (1 point)



y=(x+6)(x+6)=(x+6)^2



Step 2: Substitute the area of the enclosed space for y in your equation. (1 point)


169 = (x+6)^2


Step 3: Solve your equation from Part b for x. (3 points)


x + 6 = \pm \sqrt{169}


x = -6&#10; \pm 13


x= 7 \quad \textrm{ or } \quad x= -19


Step 4: What is the width of the deck around the hot tub? Hint: One of the answers from Part c is not reasonable. (1 point)


Only the positive root works,


x=7 feet


5 0
3 years ago
. If you saved $2.00 on january 1, $4.00 on february 1, $8.00 on march 1, $16.00 on april 1, and so on. how much money would you
SIZIF [17.4K]
=2+4+8+16+32+64+128+256+512+1024+2048+4096
=8190
4 0
3 years ago
Read 2 more answers
a rule that assigns each value of the independent variable to exactly one value of the dependent variable?
e-lub [12.9K]

Answer:

Answer:- Function

please mark me as brainliest

3 0
2 years ago
DRAW tHE MISSsiNG NOTE IN THE BLANK IN COmPLEtE EACH mEASURE
miss Akunina [59]

Answer:

This is me drawing notes in the blank

Doodle* doodle* drawing noise* drawing noise* There you go ;)

4 0
3 years ago
Please help these are not easy for me
Pavel [41]

Answer:

12a^2 - 9a + 5

Step-by-step explanation:

(5a^2 - 6a - 4) - (-7a^2 + 3a - 9)

5a^2 + 7a^2 = 12a^2

-6a - 3a = -9a

-4 + 9 = 5

12a^2 - 9a + 5

7 0
3 years ago
Other questions:
  • What is the answer for this question
    14·1 answer
  • What is the slope of a line that goes through (0,0) amd (5,-1)
    13·2 answers
  • What is the value of x/4y when x=16 and y=2
    13·1 answer
  • A bar graph shows that sports books received 9 votes. If the scale is 0 to 20 by twos, where should the bar end for the sports b
    9·1 answer
  • Meandre has 8 pints of milk. If he drinks ¼ of a pint of milk each day, how long will the 8 pints of milk last him?
    7·2 answers
  • What is the 12th term of the linear sequence below? 13, 7, 1,-5, -11,...
    14·1 answer
  • Simplify the expression.<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B1%2B%5Csqrt%7B3%7D%20%7D" id="TexFormula1" t
    15·1 answer
  • The LCM of 5 and 6 is ____.
    15·2 answers
  • (x - 1)/(n - 1) + (2n ^ 2 * (1 - x))/(n ^ 4 - 1) = (2x - 1)/(1 - n ^ 4) - (1 - x)/(1 + n)
    9·1 answer
  • Employees who have retired from a company are placed in different benefit categories. The bar graph shows the percentages of the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!