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Whitepunk [10]
3 years ago
5

Write an expression equivalent to b^10/b^5 in the form b^m.

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0
B^5 when you’re dividing exponents, just subtract!
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Write an expression to represent susans age in three years when a represents her present age.
Zarrin [17]
Well, since a is Susan’s current age, we would add three to a to get her age in three years
So our expression would be:
a + 3
4 0
3 years ago
Read 2 more answers
Life Expectancies In a study of the life expectancy of people in a certain geographic region, the mean age at death was years an
Sphinxa [80]

Answer:

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

We have:

Mean \mu, standard deviation \sigma.

Sample of size n:

This means that the z-score is now, by the Central Limit Theorem:

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

Find the probability that the mean life expectancy will be less than years.

The probability that the mean life expectancy of the sample is less than X years is the p-value of Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}, in which \mu is the mean life expectancy, \sigma is the standard deviation and n is the size of the sample.

8 0
2 years ago
I need to do these by 11:59 but I dont know any of it​
Crazy boy [7]

Answer:

cant see image ;( sadddddddd

Step-by-step explanation:

6 0
3 years ago
DO,K = (5, 0) (10, 0) The scale factor is 1/2 2 5
Lapatulllka [165]
If the preimage point is (5,0) and the image point is (10,0)
then the scale factor is k = 2

Basically the coordinates of the old point have doubled (multiplied by 2)

x = 5 is the old x coordinate
x = 10 is the new x coordinate (5*2 = 10)

y = 0 is the old y coordinate
y = 0 is the new y coordinate (0*2 = 0, no change)
3 0
3 years ago
. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???
grandymaker [24]

Answer with Step-by-step explanation:

We are given that

tan(\alpha+\beta)

\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}

By using formulatan x=\frac{sin x}{cos x}

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By using property:sin(x+y)=sin x cosy+cos x sin y

cos(x+y)=cos x cosy-sin x siny

Divide numerator and denominator by cos\alpha cos\beta

Then, we get

\frac{\frac{sin\alpha}{cos\alpha}+\frac{sin\beta}{cos\beta}}{1-\frac{sin\alpha sin\beta}{cos\alpha cos\beta}}

tan(\alpha+\beta)=\frac{tan\alpha+tan\beta}{1-tan\alpha tan\beta}

Hence, proved

Substitute \alpha=\beta

Then we get

tan 2\alpha=\frac{tan\alpha+tan\alpha}{1-tan^2\alpha}

tan(2\alpha)=\frac{2tan\alpha}{1-tan^2\alpha}

Hence, proved.

3 0
3 years ago
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