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Equations of lines in slope intercept form: through (5,3) and (0,2)

frosja888 [35]

Answer:

y=(x/5)+2

Step-by-step explanation:

Slope = rise over run = (3-2)/(5/0) = 1/5

b = y-intercept = 2

4 0

3 years ago

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

$z= \frac{X -\mu}{\sigma}$

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

3 years ago

Susie ran a total of 181.8 minutes in 9 days. If she ran for the same amount of time each day, how many minutes did she run per

Tpy6a [65]

Answer:

20.2

Step-by-step explanation:

181.1 divided by the amount of days Susie ran.

3 0

3 years ago

What does these expression represent? 12f+24

Otrada [13]

Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.

Expplanation.

The expression 12f + 24 is an algebraic expression, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.

The algebraic expressions are used to represent word statements in mathematical language.

You can analyze each term of the expression and then tell what the total expresssion represents:

The first term 12f, where f is a variable with degree 1 (the exponent of the variable), represents the multiplication of a quantity (represented by the variable f) by 12.

24 is the constant term, it represents an constand addend.

Hence, the total expression represents the multiplication of a quantity by 12, and, after the multplication is done, added with 24.

5 0

3 years ago

Maia's calculator displays a number as 9.125 E10. What is this number in standard form?

melomori [17]

9.125 E10 is the same as 9.125 × 10¹⁰ in standard form.

4 0

3 years ago

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