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muminat
3 years ago
15

Write 121 raised to the one-half power equals 11 as a logarithmic function

Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0
a^b=c translates to log_a(c)=b
so
121^\frac{1}{2}=11 translates to log_{121}(11)=\frac{1}{2}
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Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion tha
mote1985 [20]

Answer:

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

The expected value μ = 80

No of trails n = 200

Thus we have

p=\frac{80}{200}=0.4

The deviation is related to expected value and probability as

\sigma =\sqrt{np(1-p)}\\\\\therefore \sigma =\sqrt{200\cdot 0.4\cdot (1-0.4)}=6.9

Thus the values between the given deviation is

x_{1}=80-2.5\times 6.9=62.75\\\\x_{2}=80+6.9\times 2.5=97.25

Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.

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3 years ago
4/5 of a number is 16. What is the number?
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Answer:

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Step-by-step explanation:

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fiasKO [112]
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Dimas [21]

Answer:

y = -\frac{1}{3}x - 5

Step-by-step explanation:

To write the equation of a line use the point slope formula y - y_1 = m(x-x_1). Find m by using the slope formula with the points.

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Since the line is parallel, it will have the same slope.

Substitute m = -1/3 and (-3,-4).

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Please help me! I will give it 5 stars and I will heart the answer!
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Step-by-step explanation:

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