How do you solve polynomial equation by factoring<br> 2x^3 - 12x^2 = 32x

6.3.6. Among the early attempts to revisit the death postponement theory introduced in Case Study 6.3.2 was an examination of th

kakasveta [241]

Answer:

So the Null hypothesis is rejected in this case

Step-by-step explanation:

The number of celebrities is n = 348

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month

Generally if there is no death postponement then p will be mathematically evaluated as

$p = \frac{1}{12}$

This implies the probability of date in one month out of the 12 months

Now from the question we can deduce that the hypothesis we are going to be testing is

$Null Hypothesis \ \ H_0 : p = 0.083$

This is a hypothesis is stating that a celebrity dies in the month preceding their birth

$Alternative \ Hypothesis H_1 : p < 0.083$

This is a hypothesis is stating that a celebrity does not die in the month preceding their birth

is c is the represent probability for each celebrity which either c = 0 or c = 1

Where c = 0 is that the probability that the celebrity does not die on the month preceding his/ her birth month

and c = 1 is that the probability that the celebrity dies on the month preceding his/ her birth month

Then it implies that

for

n= 1 + 2 + 3 + .... + 348 celebrities

Then the sum of c for each celebrity would be $c_s = 16$

i.e The number of celebrities that died in the month preceding their birth month

We are told that the significance level is $\alpha = 0.05$ , the the z value of $\alpha$ is

$z_{\alpha } = 1.65$

This is obtained from the z-table

Since this test is carried out on the left side of the area under the normal curve then the critical value will be

$z_{\alpha } = - 1.65$

So what this implies is that $H_o$ will be rejected if

$z \le -1.65$

Here z is the test statistics

Now z is mathematically evaluated as follows

$z = \frac{c - np}{\sqrt{np_o(1- p_o)} }$

$z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }$

$z =-2.50$

From our calculation we see that the value of z is less than $-1.65$ so the Null hypothesis will be rejected

Hence this tell us that the evidence provided is not enough to conclude that 16 celebrities died a month to their birth month

8 0

2 years ago

Find the greatest common factor of -30x 4 yz 3 and 75x 4 z 2.

kicyunya [14]

If you combine -30 and +75 that will be 40. so GCF will be 40

8 0

3 years ago

Which expression is equivalent to (3−2^2) 5 ? 5−3^2 5−2^2 2^2−5 3^2−5

tamaranim1 [39]

Well (3-2^2)5 = -5
and 5-3^2=-4
5-2^2=1
2^2-5=-1
3^2-5=4
but if you have to multiply them by 5 as well then (2^2-5)5=-5

8 0

3 years ago

Help me please do today please help

lara31 [8.8K]

Answer:

1)

A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show. - 6x + 3 = 27

Explanation: As it is revealed in the situation, the family buys six tickets and the price of these tickets is unknown, so we must replace that with a variable, which gives us 6x so far. Next, it is shown that an additional three dollars were spent for a parking fee, so the next part of the equation is + 3. In total, they spend twenty-seven dollars, including the three dollars spent for the parking fee, which gives us the final part of the equation; = 27. Therefore, the equation will be 6x + 3 = 27.

Diego has 27 ounces of juice. He pours equal amounts for each of his three friends and has six ounces left for himself. - 3x + 6 = 27

Explanation: From the situation, we are told that Diego has three friends he shared the juice with and was left with six ounces for himself, meaning how much the friends took was unknown, but what was left after giving it away is clear, which was six ounces. So, the first part of the equation would be 3x + 6. It is also known that there was 27 ounces of juice at first, meaning what he shared and what he had left would equal 27, so the equation would be 3x + 6 = 27.

Jada worked for six hours preparing for the art fair. She spends three hours on a sculpture and then paints 27 picture frames. - 27x + 3 = 6

Explanation: When you first look at the story, you can see that six hours total were spent on the whole project together, meaning the final part of the equation would be = 6. The first part, however, would be concluded through how Jada spent an unknown amount of time for 27 picture frames and spent three more hours on a sculpture, which would lead to equal six. So the first part would be 27x + 3, and the actual equation for the story would be 27x + 3 = 6.

a) First story (6 tickets story) - x = price of tickets

Second story (27 ounces of juice story) - x = ounces of juice given to each friend

Third story (art project) - x = time spent on each picture frame

Important note: These are all what is unknown!

b)

6x + 3 = 27 (original equation)

Subtract three on both sides to isolate x: 6x = 24

Divide by four on both sides to isolate x: x = ($)4

3x + 6 = 27 (original equation)

Subtract by six on both sides to isolate x: 3x = 21

Divide by three on both sides to isolate x: x = 7 (oz.)

27x + 3 = 6 (original equation)

Subtract by three on both sides to isolate x: 27x = 3

Divide by twenty-seven on both sides to isolate x: x = 1/9 (hours)

c)

Diego gave each of his friends seven ounces of juice.

Inferred: We can infer that Diego had more than one friend that we was giving to. Seven ounces of juice were being given, and there are unknown amount of friends that are getting the ounces of juice.

Mommy spent $4 per person to attend the show.

Inferred: There was probably more than one person attending. The cost for one person('s ticket) was four dollars. The cost was at least $8 dollars as the mother also attended. They were trying to attend a show with an unknown amount of people.

Hope this helped somewhat! Please give brainliest, if that's okay with you! It just took a lot of effort lol :P Have a great night!

6 0

2 years ago

How do i plot this??

Softa [21]

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

5 0

3 years ago

How do you solve polynomial equation by factoring 2x^3 - 12x^2 = 32x - 192