All categories

2 years ago

Formula for finding prime numbers

1 answer:

6 0

There is no formula for finding prime numbers. The rule is just if a number is prime then it is divisible by 1 and itself

You might be interested in

Slope : - 9/7 point : ( -7,4 )

dolphi86 [110]

To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4 = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------

7 0

3 years ago

Which of the following is the solution to |x|-5<= -13?

kow [346]

Answer:

drishyam 2 train to bysan

Step-by-step explanation:

7 0

2 years ago

In quadrilateral XWZY, name the angles which are consecutive with angle W

Aleksandr [31]

The consecutive angles are

Angle x

And

Angle z

3 0

2 years ago

Members of the millennial generation are continuing to be dependent on their parents (either living with or otherwise receiving

Morgarella [4.7K]

Answer:

$\bf H_0:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is 0.3

$\bf H_a:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is greater than 0.3

b) 34%

c) practically 0

d) Reject the null hypothesis.

Step-by-step explanation:

Since an individual aged 18 to 32 either continues to be dependent on their parents or not, this situation follows a Binomial Distribution and, according to the previous research, the probability p of “success” (depend on their parents) is 0.3 (30%) and the probability of failure q = 0.7

According to the sample, p seems to be 0.34 and q=0.66

To see if we can approximate this distribution with a Normal one, we must check that is not too skewed; this can be done by checking that np ≥ 5 and nq ≥ 5, where n is the sample size (400), which is evident.

We can then, approximate our Binomial with a Normal with mean

$\bf np = 400*0.34 = 136$

and standard deviation

$\bf \sqrt{npq}=\sqrt{400*0.34*0.66}=9.4742$

Since in the current research 136 out of 400 individuals (34%) showed to be continuing dependent on their parents:

$\bf H_0:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is 0.3

$\bf H_a:$ The mean of adults aged 18 to 32 that continue to be dependent on their parents is greater than 0.3

So, this is a right-tailed hypothesis testing.

According to the sample the proportion of "millennials" that are continuing to be dependent on their parents is 0.34 or 34%

Our level of significance is 0.05, so we are looking for a value $\bf Z^*$ such that the area under the Normal curve to the right of $\bf Z^*$ is ≤ 0.05

This value can be found by using a table or the computer and is $\bf Z^*$ = 1.645

Applying the continuity correction factor (this should be done because we are approximating a discrete distribution (Binomial) with a continuous one (Normal)), we simply add 0.5 to this value and

$\bf Z^*$ corrected is 2.145

Now we compute the z-score corresponding to the sample

$\bf z=\frac{\bar x -\mu}{s/\sqrt{n}}$