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Studentka2010 [4]
3 years ago
5

Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping once our sum exceeds 285. Approximate th

e probability that at least 75 rolls are needed to get this sum. Probability
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

1

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)

Number of possible outcomes = 75, number of total outcomes = 290

Probability (75 rolls are needed to get this sum) = 75/290 = 0.259

Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741

Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1

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Which value of x satisfies both -9x + 4y = 8 and -3x − y = 4 given the same value of y?
liq [111]

Answer:

C

Step-by-step explanation:

Since y will have same value, y doesn't really matter. Thus,

We can solve for y in the 2nd equation as:

-3x - y = 4

-3x - 4 = y

Now we can plug it into the first and solve for x:

-9x + 4y = 8

-9x + 4(-3x - 4) = 8

-9x - 12x - 16 = 8

-21x = 8 + 16

-21x = 24

x = 24/-21

x = -8/7

Correct answer is C.

4 0
2 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
BartSMP [9]

Answer:

x -y =4

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (1- -4)/(5 - 0)

    = (1+4)/(5-0)

   5/5

   = 1

Then we can use slope intercept form

The slope is 1 and the y intercept is -4

y = mx+b

y = 1x-4

We want it in standard form

Ax + By = C where A is a positive integer

Subtract x from each side

-x +y = -4

Multiply by -1

x -y =4

8 0
2 years ago
Dan built a cubed shaped toy box of wood for his daughter. Each side of the toy box measures 2feet. How much wood did Dan use to
ankoles [38]

Answer:

12 feet is what i believe is the answer

Step-by-step explanation:

Brainleist :)

8 0
2 years ago
A standard interior staircase has steps each with a rise (height) of 21 cm and a run (horizontal depth) of 24 cm. Research sugge
Alisiya [41]

Answer:

The staircase would extends 1.20 m if the changes were made.

Step-by-step explanation:

Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:

Number steps= \frac{Total heigth}{each step} \\Number steps= \frac{504}{21}  = 24 steps

To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.

using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.

So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.

6 0
2 years ago
Which expressions are equivalent to (d^1/8) ^5
Tanya [424]

Answer:

Formula used : (a^m)^n = a^(m×n)

→{( {d}^{ \frac{1}{8} }) }^{5}  =  {d}^{( \frac{1}{8}\times 5) }  =   \boxed{{d}^{ \frac{5}{8} } }✓ \\

  • <u>d^⅝</u> is the right answer.
8 0
2 years ago
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