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2 years ago

A Web site defines a regular polygon as “a polygon with all angles the same measure.” Is this definition valid?

2 answers:

6 0

The answer is A! Not all polygons have equal angles. This can be justified, because Not all polygons have the same amount of sides!

IceJOKER [234]2 years ago

4 0

B. Yes Becuase a square has all equal sides

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Tickets were sold at four different gates of a high school football stadium. The graph below shows the percent of the total tick

MaRussiya [10]

you have to add 90 +90 3 times then theres your answer :)

6 0

2 years ago

A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a standard deviation of 5.6 kilogram

azamat

Answer:

(a) The variance decreases.

(b) The variance increases.

Step-by-step explanation:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The standard deviation of sample mean is inversely proportional to the sample size, n.

So, if n increases then the standard deviation will decrease and vice-versa.

(a)

The sample size is increased from 64 to 196.

As mentioned above, if the sample size is increased then the standard deviation will decrease.

So, on increasing the value of n from 64 to 196, the standard deviation of the sample mean will decrease.

The standard deviation of the sample mean for n = 64 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{64}}=0.7$

The standard deviation of the sample mean for n = 196 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{196}}=0.4$

The standard deviation of the sample mean decreased from 0.7 to 0.4 when n is increased from 64 to 196.

Hence, the variance also decreases.

(b)

If the sample size is decreased then the standard deviation will increase.

So, on decreasing the value of n from 784 to 49, the standard deviation of the sample mean will increase.

The standard deviation of the sample mean for n = 784 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{784}}=0.2$

The standard deviation of the sample mean for n = 49 is:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{5.6}{\sqrt{49}}=0.8$

The standard deviation of the sample mean increased from 0.2 to 0.8 when n is decreased from 784 to 49.

Hence, the variance also increases.

6 0

2 years ago

Raphael graphed the functions g(x)=x+2 and f(x)=x−1. How many units below the y-intercept of g(x) is the y-intercept of f(x)? A

jasenka [17]

Answer:

3 units below the y-intercept of g(x) is the y-intercept of f(x)

Step-by-step explanation:

$g(x)=x+2$ and $f(x)=x-1$

In f(x)= mx+b the y intercept is b

In $g(x)=x+2$ , the y intercept value is 2

In $f(x)=x-1$ , the y intercept value is -1

the difference in y intercept is +2-(-1)=+3

3 units below the y-intercept of g(x) is the y-intercept of f(x)

4 0

2 years ago

Read 2 more answers

Given f(x) = 4x4 + 5x3 – 15x2 – 45, find f(–3).

poizon [28]

Answer:

f(–3) = 9

Step-by-step explanation:

Given f(x) = 4x^4 + 5x^3 – 15x^2 – 45

f(-3) means let x = -3

f(-3) = 4(-3)^4 +5(-3)^3 – 15(-3)^2 – 45

=4(81) +5(-27) -15(9) -45

= 324 - 135 - 135 -45

6 0

2 years ago

Read 2 more answers

93 27 14 what is next in the sequence?

Assoli18 [71]

Answer:

Step-by-step explanation:

9×3=27

2×7=14

1×4=4

nice logic

6 0

2 years ago