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3 years ago

What is the similarity?

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

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Use the definition of continuity and the properties of limits to show that the function f(x)=x sqrtx/(x-6)^2 is continuous at x

qaws [65]

Answer:

The function is continuous at x = 36

Step-by-step explanation:

From the question we are told that

The function is $f(x) = x * \sqrt{ \frac{x}{ (x-6) ^2 } }$

The point at which continuity is tested is x = 1

Now from the definition of continuity ,

At function is continuous at k if only

$\lim_{x \to k}f(x) = f(k)$

$\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]$

$= 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$= 7.2$

Now

$f(36) = 36 * \sqrt{ \frac{36}{ (36-6) ^2 } }$

$f(36) = 7.2$

So the given function is continuous at x = 36

because

$\lim_{x \to 36}f(x) = f(36)$

7 0

3 years ago

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a

enyata [817]

Complete Question

A recent CBS News survey reported that 64% of adults felt the U.S. Treasury should continue making pennies. Suppose we select a sample of 18 adults.

a-1. How many of the 18 would we expect to indicate that the Treasury should continue making pennies

a-2) What is the standard deviation?

a-3) What is the likelihood that exactly 3 adults would indicate the Treasury should continue making pennies?

Answer:

a-1 $\= x = 11 .52$

a-2 $\sigma = 2.036$

a-3 $P(3) = 4.7*10^{-5}$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 18$

The proportion of adult that felt the U.S. Treasury should continue making pennies is p = 0.64

The proportion of adult that feel otherwise is

$q = 1- p = 1-0.64 = 0.36$

The mean is mathematically evaluated as

$\= x = n * p$

substituting values

$\= x = 18 * 0.64$

$\= x = 11 .52$

The standard deviation is mathematically represented as

$\sigma = \sqrt{ npq}$

substituting values

$\sigma = \sqrt{18 * 0.64 * 0.36}$

$\sigma = 2.036$

The likelihood that 3 adult would indicate the Treasury should continue making pennies is mathematically evaluated as

$P(3) = \left n} \atop \right. C_3 (p)^{3} * (q)^{n-3}$

Now

$\left n} \atop \right. C_3 = \frac{n! }{[n-3] ! 3!}$

substituting values

$\left n} \atop \right. C_3 = \frac{18! }{[15] ! 3!}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 * 15! }{[15] ! (3 *2 *1 )}$

$\left n} \atop \right. C_3 = \frac{18 * 17 * 16 }{ (3 *2 *1 )}$

$\left n} \atop \right. C_3 = 816$

$P(3) = 816 * (0.64 )^3 * (0.36 )^{18-3}$

$P(3) = 4.7*10^{-5}$

8 0

3 years ago

PLZ HELP!!! BRAINLIEST AND POINTS!!!

Solnce55 [7]

The answer is for this question is c

2(3x+2)+2(2x-1)

=10x+2

This is a polynomial

So the answer is c

7 0

3 years ago

Maddy has 2 times as many stickers as meg. They have a total of 15 combined. How many does maddy have ?

denis-greek [22]

This is the process I would use:

Maddy's = 2x 2x+x=15
Meg's = x 3x=15
x=5

Since Maddy's is 2x, multiply the 5 times 2 and you find that Maddy has 10 stickers.

7 0

3 years ago

Please help me 100pts and brainleast

yuradex [85]

Answer:

I really don't know this is to hard

Step-by-step explanation:

like for real I don't know

8 0

3 years ago