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3 years ago

Worth 20 points PLZ HELP ASAP

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

434822.11875961m

Step-by-step explanation:

this is because the formula is λ = C/f

Where,

λ (Lambda) = Wavelength in meters

c = Speed of Light (299,792,458 m/s)

f = Frequency

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Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

4 years ago

Solve For x :

Georgia [21]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given ,

$2x = 100$

To find ,

value of x

Now ,

$\longrightarrow{2x = 20}$

Dividing both sides by 2 , we get

$\frac{2x}{2} = \frac{100}{2} \\ \\ \longrightarrow\boxed{ \: x = 50}$

nikal -,- xD

7 0

2 years ago

Pls2sssssssssssssssssssssss

Allisa [31]

Answer:

209.125

Step-by-step explanation:

Since it took the 1.25 as long, you would multiply the numbers together

6 0

3 years ago

Yi's average for her first 3 tests is 88. what musit she score on her last test to bring her average up to 90

timofeeve [1]

Her average now is 88.
She needs to bring it up to a 90.

Let's start with if she gets a 90.
88 + 90 = 178
178/2 = 89
A 90 would only get her an average of 89, so you need to go higher.

88 + 91 = 179
179/2 = 89.5

88 + 92 = 180
180/2 = 90

She must get at least a 92 to get an average of 90.

6 0

4 years ago

10. For the equation 3x – 4 = 8, which

irga5000 [103]

Answer:

x = 4

Step-by-step explanation:

We can find the answer to this by solving the equation:

3x - 4 = 8

3x - 4 + 4 = 8 + 4

3x = 12

x = 4

6 0

3 years ago

Read 2 more answers