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3 years ago

Can you draw two squares that are not similar? Explain your reasoning.

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

Now, all squares are always similar. Their size may not be equal but their ratios of corresponding parts will always be equal. ... As, the ratio of their corresponding sides is equal hence, the two squares are similar. Similarly from the square the corresponding ratios of their sides can be found.i think this help you

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Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are in

aleksandrvk [35]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}$

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

$P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\$

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

$E(X)=np=4\cdot0.25=1$

6 0

3 years ago

What is a factor help help help help

Nitella [24]

Factor is the numbers that divides another number or expression without the remainder. For example, 3 and 6 are factors of 12 because 12÷ 3=4 and 12÷6=2.

6 0

2 years ago

Write sin^2(x)*cos^2(x) as a single power of cosine, show work

WINSTONCH [101]

This is what you're looking for if I'm not mistaken
sin²x + cos²x = 1
So:
sin²x = 1 - cos²x

∴ sin²x * cos²x = (1 - cos²x) * cos²x
= cos²x.(1 - cos²x)
(= cos²x - cos⁴x)

7 0

3 years ago

Two rectangles have the same area. One says x + 3 and x + 1 and the other says x + 6 and x. What is the value of x?

Taya2010 [7]

(x+3)(x+1)=(x+6)(x)
x^2+x+3x+3=x^2+6x
x^2+4x+3=x^2+6x
4x+3=6x
3=2x
x=1.5

Hope this helps :)

4 0

3 years ago

Does anyone know the answer?

Ludmilka [50]

Answer:

x=120 degrees

Step-by-step explanation:

Because these two angles share the two same points, either one is 2x larger or 2x smaller than the other. X is the larger angle, therefore is 2x larger than 60. 60×2=120. I hope this helps you!

4 0

3 years ago

Read 2 more answers