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-Dominant- [34]
3 years ago
13

Penny and her two friends each ate 1/6 of cake . how much cake did they eat

Mathematics
2 answers:
Hoochie [10]3 years ago
4 0
They ate 1/3 of the cake
serg [7]3 years ago
4 0
I think they ate 3/6 or 1/2 of the cake 
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The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0
3 years ago
Randy buys a pair of shoes that were originally priced at $147. He receives a 35% discount and pays 8.5% sales tax. How much doe
maksim [4K]
Begin by subtracting 35% from 100%, giving 65% which is equivalent to 0.65
Then multiply
147 * 0.67 =  98.49
Now for a sales tax you would want to multiply by 108.5% (or 1.085) as you are paying the previous price and them some
98.49 * 1.085 = <span>106.86165
You can round to the second decimal place since you can't have a monetary value less than a penny
your answer would be $106.86
</span> 

3 0
3 years ago
X squared minus 6x equals 0
Masja [62]

x²-6x=0

x(x-6)=0

Two solutions are possible:

x=0

x=6

8 0
3 years ago
Given the following formula , solve for t.
hodyreva [135]

I think it’s c. Not sure though. Pure guess
4 0
3 years ago
Find the area of the figure
tia_tia [17]

Answer:

Step-by-step explanation:

wwwwwwwwwwwwwwwwwwwwwwa

3 0
3 years ago
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