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2 years ago

For the standard normal probability distribution, the area to the left of the mean is

Mathematics

1 answer:

Alborosie2 years ago

6 0

Any normal distribution is symmetric about its mean, so

$\mathbb P(X$

where $\mu$ is the mean for the distribution.

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If y varies directly with x, and y=-1 when x=3

UNO [17]

Answer:

where da question at

Step-by-step explanation:

4 0

2 years ago

Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

8 0

2 years ago

Read 2 more answers

What is the scale factor of a model car if the scale is 1 inch=2 feeet

crimeas [40]

1 foot = 12 inches
1in : 2 feet
1in : 24in

5 0

2 years ago

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The value of\[\left( 1-{1\over3} \right)\left( 1-{1\over4} \right)\left( 1-{1\over5} \right)....\left( 1-{1\over n} \right)\]is

Oliga [24]

Example 1

verbose explicit high3 plus 4 cross 2 minus minus 2 equals 3 plus 8 plus 2 equals 1 3verbose explicit high semantics3 plus 4 times 2 minus negative 2 equals 3 plus 8 plus 2 equals 13verbose explicit high semantics high3 plus 4 times 2 minus negative 2 equals 3 plus 8 plus 2 equals 13

For most fractions, the beginning is indicated with "start fraction", the horizontal line is indicated with "over", and the end of the fraction is indicated by "end fraction". For the semantic interpretation, most numeric fractions are spoken as they are in natural speech. Also if a number is followed by a numeric fraction, the word "and" is spoken in between.

6 0

2 years ago

Y=x3 is that a function?

kotykmax [81]

Answer:

yes

Step-by-step explanation:

y(x) is even or odd according as y(−x)=±y(x) . Here, #y(-x)=-(-x)^3=-(-x^3)=x^3=-y(x). So, y is an odd function of x.

5 0

2 years ago