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Vikki [24]
3 years ago
9

Loge (k? + 2k)= log, 60 – loge 4

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0
Log(k + 2k) = log60 - log4
for two functions to be equal, the arguments of each must be equal
k = 5
You might be interested in
Cual valor de 3 en 530 es 30 veces mayor que el valor de 3 en 300
yKpoI14uk [10]
The 3 in 530 is 1/10 of the value than in 300
3 en 530 es 1/10 valor 300 
lo siento <span>mi español es malo</span>
7 0
3 years ago
If a cat falls out of a tree, it has a probability of 0.92 that it will land
Alex_Xolod [135]

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

<h3>How to determine the probability?</h3>

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

Read more about probability at

brainly.com/question/251701

#SPJ1

3 0
2 years ago
The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c
Anestetic [448]

Answer:

a) The mean is \mu = 60

b) The standard deviation is \sigma = 9

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when X = 55.5, Z = -0.5

So

Z = \frac{X - \mu}{\sigma}

-0.5 = \frac{55.5 - \mu}{\sigma}

-0.5\sigma = 55.5 - \mu

\mu = 55.5 + 0.5\sigma

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when X = 71.52, Z = 1.28

So

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{71.52 - \mu}{\sigma}

1.28\sigma = 71.52 - \mu

\mu = 71.52 - 1.28\sigma

Since we also have that \mu = 55.5 + 0.5\sigma

55.5 + 0.5\sigma = 71.52 - 1.28\sigma

1.78\sigma = 71.52 - 55.5

\sigma = \frac{(71.52 - 55.5)}{1.78}

\sigma = 9

\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60

Question

The mean is \mu = 60

The standard deviation is \sigma = 9

6 0
3 years ago
-2=-(n-8) what would be the answer ​
Alexeev081 [22]

Answer:

n=10

Step-by-step explanation:

-2=-n+8

-n=-10

n=10

3 0
3 years ago
It this pattern a net for the three-dimensional figure?
elena-s [515]

Answer:

yes it is because the second triangle is the base and the other three triangles are the sides of the three dimensional shape

3 0
3 years ago
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