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3 years ago

The graph shows a distribution of data with a standard deviation of 6.

Mathematics

2 answers:

MrRissso [65]3 years ago

4 0

The mean of the standard normal graph shown is the middle point about which the graph is symmetric.

Hence, mean is 75.

Also, given that standard deviation is 6.

What is 1 standard deviation from the "mean" mean?

75+6=81 and 75-6=69

So a value within 69 and 81 would be called within 1 standard deviation of the mean.

So, calculating 2 standard deviation from the mean as:

75+6+6=87 and 75-6-6=63

So a value within 63 and 87 would be called within 2 standard deviation of the mean.

84 falls in this category, so we can say answer choice B is correct.

ANSWER: B

Agata [3.3K]3 years ago

3 0

B. It is within 2 standard deviations of the mean.

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Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers

eimsori [14]

The mean of sample x is 5.83

The standard deviation is 5.63

<h3>What is standard deviation?</h3>

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

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3 years ago

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Elan Coil [88]

Answer:

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

$e^{ln(2)}$

The answer to this would be 2 because these inverse functions "'cancel" out

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8 0

3 years ago

Read 2 more answers

The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

$a =255\ yd\\c = 305\ yd\\\angle B =17^\circ$

To find:

Side $b = ?$

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Putting all the values:

$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0

3 years ago