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Zielflug [23.3K]

3 years ago

12

Are there any prime numbers that are also square numbers Give an example or explain why not

2 answers:

erica [24]3 years ago

6 0

NO. Why?

A prime number is a number divisible by 1 and by itself.
Assuming there is a square number that is prime. If so it will be
divisible by 1 by this number and by its square root, (in total 3) which is in contradiction with the definition of a prime number

Misha Larkins [42]3 years ago

5 0

No, square numbers greater than 1 have more than two factors

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A selective university advertises that 96% of its bachelor’s degree graduates have, on graduation day, a professional job offer

OLEGan [10]

Answer:

The probability is $P( p < 0.9207) = 0.0012556$

Step-by-step explanation:

From the question we are told

The population proportion is $p = 0.96$

The sample size is $n = 227$

The number of graduate who had job is k = 209

Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is

$\mu_x = p = 0.96$

Generally the standard deviation of this sampling distribution is

$\sigma = \sqrt{\frac{p (1 - p )}{n} }$

=> $\sigma = \sqrt{\frac{0.96 (1 - 0.96 )}{227} }$

=> $\sigma = 0.0130$

Generally the sample proportion is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{209}{227}$

=> $\^ p = 0.9207$

Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as

$P( p < 0.9207) = P( \frac{\^ p - p }{\sigma } < \frac{0.9207 - 0.96}{0.0130 } )$

$\frac{\^ p - p}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )$

$P( p < 0.9207) = P(Z< -3.022 )$

From the z table the area under the normal curve to the left corresponding to -3.022 is

$P(Z< -3.022 ) = 0.0012556$

=> $P( p < 0.9207) = 0.0012556$

6 0

3 years ago

Solve for angel GLN<br><br> please help asap, need help

likoan [24]

Answer:

119

Step-by-step explanation:

$\mathrm{Supplementary\:angles\:add\:up\:to}\:180^{\circ }$

$\angle \:GKO \mathrm{\:is\:supplementary\:angle\:of\:} \angle \:KNL$

$\mathrm{So\:}\angle \:GKO+\angle \:KNL=180$

$\angle \:GKO+61=180$

$\angle \:GKO=119$

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3 years ago

What are the y and x intercept of 3x-5y=15

kondor19780726 [428]

Y-intercept: (0,-3)

x-intercept: (0,5)

5 0

3 years ago

Solve the equations and graph the solution

jenyasd209 [6]

Given:

The inequalities are:

$-5x$ or $2x$

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

$-5x$ or $2x$

Solve the above inequalities separately.

$-5x$

Divide both sides by -5.

$x>\dfrac{-3}{-5}$

$x>\dfrac{3}{5}$ ...(i)

And,

$2x$

Divide both sides by 2.

$x$

$x$ ...(ii)

From (i) and (ii). we get

$x$ or $x>\dfrac{3}{5}$

The interval notation of the solution is $(-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)$ .

The graph of the solution is shown below.

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3 years ago

What is the greatest common factor of 56 and 42

liberstina [14]

Your Answer would be 14.

4 0

3 years ago