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puteri [66]
3 years ago
7

A board game has 26 tiles labeled with alphabet letters. Players draw 1 tile at a time. Over 260 different drawings, how many ti

mes are players likely to draw either a vowel or the letter Y? Show your work.
Please help me, this is due soon and I don't understand it!
Mathematics
2 answers:
Nastasia [14]3 years ago
6 0

Answer: The probablty is is 41221/26 or 0.00669%

Step-by-step explanation:

Drawing tiles from the bag at one time is mathematically equivalent to drawing one tile 4 times inculding the vowel, without replacement.

If we get one of these 4 letters on draw 1, then on draw 2, we'll have 3 possible successful draws out of the 25 tiles left.

This pattern continues down to draw 4. Since each draw is independent, we just multiply the probabilities together:

Daniel [21]3 years ago
5 0
Answer: 0.00669%

Your welcome
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Solve the inequality for x. Show each step of the solution.10x > 2(8x – 3) – 18
Luden [163]

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

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1 year ago
A group of ten 6- and 12-volt batteries are wired in series. The sum of their voltages is 84 volts. How many of each type of bat
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...... I need this as well please help us!!!
8 0
3 years ago
A cold drink is poured out at 52°F. After 2 minutes of sitting in a 72°F room, its temperature has risen to 55°F. Find an equati
I am Lyosha [343]

Answer:

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

Step-by-step explanation:

For a cold drink in a hotter room, we can say that the rate of change of temperature of the drink is proportional to the difference of temperature between the drink and the room.

We can model that in this way

\frac{dT}{dt}=k*(T_r-T)

If we rearrange and integrate

\int\frac{dT}{(T-Tr)} =-k*\int dt\\\\ln(T-T_r)=-kt+C1\\\\T-T_r=Ce^{-kt}\\\\T=T_r+Ce^{-kt}

We know that at time 0, the temperature of the drink was 52°F. Then we have:

T=T_r+Ce^{-kt}\\\\52=72+Ce^0=72+C\\\\C=-20

We also know that at t=2, T=55°F

T=T_r+Ce^{-kt}\\\\55=72-20e^{-k*2}\\\\e^{-k*2}=(72-55)/20=0.85\\\\-2k=ln(0.85)=-0.1625\\\\k=0.08

The model for the temperature of the drink can be written as

T=72-20e^{-0.08t}

7 0
3 years ago
A coin is tossed two times and the results are heads and heads. What is the probability as a percent?
MissTica
50% for heads and 50% for tails
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3 years ago
Which expression is equivalent to (7^-8)(7^3)
suter [353]

Answer:

1/16807

Step-by-step explanation:

(7^-8)(7^3)=7^(-8+3)=7^-5=1/7^5=1/16807

7 0
3 years ago
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