All categories

3 years ago

Explain how dilations and functions are related?

Mathematics

2 answers:

Marrrta [24]3 years ago

7 0

Answer with explanation:

Dilation in general, is a type of transformation that produces a same image like the original image but with different size.

With respect to functions, when a function/graph is stretched away from an axis or shifted towards an axis, then it is called dilated.

Though the function retains the same shape even when it is multiplied by any number. During this process, the functions dilate for sure, but at the same time keep its original shape.

Mandarinka [93]3 years ago

6 0

When a function is multiplied by a number, the shape of the graph will retain its basic shape, though stretch or compress in different directions. ... This is the second of five activities about transformations of functions, focusing on: translations,dilations, reflections, all transformations, and inverses of functions.

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Calculating conditional probability

laila [671]

Complete Question

Calculating conditional probability

The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom.

Here are the results:

Bride :29

Groom :30

BOTH : 20

Given that a randomly selected guest is a friend of the groom, find the probability they are a friend of the bride.

P (bride | groom)

Answer:

The probability is $P(B|G) = \frac{2}{3}$

Step-by-step explanation:

The sample size is $n = 80$

The friend of the groom are $G = 30$

The friend of the groom are $B = 29$

The friend of both bride and groom are $Z = 20$

The probability that a guest is a friend of the bride is mathematically represented as

$P(B) = \frac{29}{80}$

The probability that a guest is a friend of the groom is mathematically represented as

$P(G) = \frac{30}{80}$

The probability that a guest is both a friend of the bride and a friend of the groom is mathematically represented as

$P(B \ n \ G) = \frac{20}{80}$

Now

$P(B|G)$ is mathematically represented as

$P(B|G) = \frac{P(B \ n \ G)}{P(G)}$

Substituting values

$P(B|G) = \frac{\frac{20}{80} }{\frac{30}{80} }$

$P(B|G) = \frac{2}{3}$

6 0

3 years ago

Please help if you want brianleits pleaee :( ni links please

Katyanochek1 [597]

A is the answer i believe

3 0

3 years ago

What is pi and why do we need it

blsea [12.9K]

Answer:

See below

Step-by-step explanation:

π, pronounced as pi is the ratio between 2πr which is circumference to 2r which is diameter.

In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.

π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as π radians or π rad which is equivalent to 180°.

Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.

In calculus, you need π to do solid of revolution method which is:

$\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}$

In trigonometry, you need it for measurement/angle.

So anything that’s related to revolution, rotation or related to circle must require π at least.

In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.

Let me know if you have any questions!

7 0

2 years ago

Fudgin [204]

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5 0

3 years ago

The average amount that a college student spends on a textbook is $205 with a

zaharov [31]

Answer:

Step-by-step explanation:

Today's calculators have statistical functions built in.

A. Here we use:

normalcdf(10,310,205,35), WHICH returns 0.999.

B. normalcdf(135,275, 205,35) = 0.954

C. normalcdf(240, 10000, 205, 35) = 0.159

3 0

3 years ago