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3 years ago

6(k+8)=96 k=12 k=-4 k=9 k=8

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

b I did the test already

Step-by-step explanation:

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A scientist is studying the growth and development of an epidemic virus with a growth rate of 9% per month that has infected 3,1

4vir4ik [10]

Answer:

About 6,785 people will be infected about nine months.

Step-by-step explanation:

We can write an exponential function to represent the situation. The standard exponential function is given by:

$\displaystyle f(x) = a(r)^x$

Where a is the initial value, r is the rate, and x, in this case, is the time that has passed in months.

3,124 people have already been infected. Thus, our initial value a = 3124.

And an additional 9% will be infected per month. Therefore, our rate r will be 1 + 9% or 1.09.

Hence, our function is:

$\displaystyle f(x) = 3124(1.09)^x$

Then after nine months, the total amount of infected people will be f(9):

$\displaystyle f(9) = 3124(1.09)^{(9)}$

Use a calculator:

$\displaystyle f(9) \approx 6785$

About 6,785 people will be infected about nine months.

6 0

3 years ago

Help me plz i need help

Elina [12.6K]

Answer:25

Step-by-step explan students ation:

total number of students=1+1+9+8+3+2+1

total number of students=25

7 0

4 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.7 millimeters and a standard deviati

slava [35]

Answer:

The diameter that separates the top 3% is of 5.85 millimeters, and the one which separates the bottom 3% is of 5.55 millimeters.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.7 millimeters and a standard deviation of 0.08 millimeters.

This means that $\mu = 5.7, \sigma = 0.08$