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Novay_Z [31]
3 years ago
8

Help! If anyone knows thanks

Mathematics
2 answers:
DerKrebs [107]3 years ago
6 0
A:
2t
t is the number of toys

b:
(p+12)/16
p is the price
Brums [2.3K]3 years ago
6 0
A)
x is number of toys
the product of 2 and number of toys is 2x
b)
x is the price
(x + 12)/16 
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A pair of fair dice is cast. Let Edenote the event that the number landing uppermost on the first die is a 1 and let Fdenote the
iris [78.8K]

Answer:

They are not independent

Step-by-step explanation:

Given

E = Occurrence of 1 on first die

F = Sum of the uppermost occurrence in both die is 5

Required

Are E and F independent

First, we need to list the sample space of a roll of a die

Event\ 1 = \{1,2,3,4,5,6\}

Next, we list out the sample space of F

Event\ 2 = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,\

6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}

In (1): the sample space of E is:

E = \{1\}

So:

P(E) = \frac{n(E)}{n(Event\ 1)}

P(E) = \frac{1}{6}

In (2): the sample space of F is:

F = \{5,5,5,5\}

So:

P(F) = \frac{n(F)}{n(Event\ 2)}

P(F) =\frac{4}{36}

P(F) =\frac{1}{9}

For E and F to be independent:

P(E\ and\ F) = P(E) * P(F)

Substitute values for P(E) and P(F)

This gives:

P(E\ and\ F) = \frac{1}{6} * \frac{1}{9}

P(E\ and\ F) = \frac{1}{54}

However, the actual value of P(E and F) is 0.

This is so because E = \{1\} and F = \{5,5,5,5\} have 0 common elements:

So:

P(E\ and\ F) = 0

Compare P(E\ and\ F) = \frac{1}{54} and P(E\ and\ F) = 0.

These values are not equal.

Hence: the two events are not independent

6 0
3 years ago
Help me with this please
lutik1710 [3]
<h3>Answer:</h3>

4.42×10^34 molecules/min

<h3>Step-by-step explanation:</h3>

Multiply the various factors, along with the unit conversion (60 s/min).

... (3.35×10^25 molecules/L) × (2.2×10^7 L/s) × (60 s/min)

... = (3.35×2.2×60)×10^(25+7) molecules/min

... = 442.2×10^32 molecules/min

... ≈ 4.42×10^34 molecules/min

_____

<em>Comment on scientific notation problems</em>

Your scientific or graphing calculator will allow you to enter and display numbers in scientific notation.

7 0
3 years ago
The 100-meter dash times in the girls track meet were normally distributed with a mean of 13 seconds and a standard deviation of
Svetllana [295]

Answer:

97.68 %

z(lower) = .0227

z(upper) = .999

Step-by-step explanation:

5 0
3 years ago
A lawn sprinkler sprays water 7 feet in every direction as it rotates. What is the distance around the outside circle of water?
Readme [11.4K]
The answer is B. To find the Circumference (what you're looking for) you use 2×pi×radius. Which is 2×pi×7. In terms of pi that's just 2×7, which equals 14. So that means your answer is 14pi.
6 0
3 years ago
Read 2 more answers
Solve for m. -19m − 19 = 4m − 4m + 19
dangina [55]
-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2
7 0
3 years ago
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