Factor the polynomial function over the complex numbers. f(x)=x^3-2x^2+3x-6

A report summarizes a survey of people in two independent random samples. One sample consisted of 700 young adults (age 19 to 35

Setler [38]

Answer:

$z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51$

$p_v =2*P(Z$

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.

Step-by-step explanation:

1) Data given and notation

$n_{1}=700$ sample of young adults (age 19 to 35)

$n_{2}=200$ sample of children age 19 to 35

$p_{1}=0.41$ represent the proportion of young adults said they thought parents would provide financial support

$p_{2}=0.43$ represent the proportion of parents said they would provide support

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion for the two samples are different , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\frac{p_1 (1-p_1)}{n_{1}}+\frac{p_2 (1-p_2)}{n_{2}}}}$ (1)

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.41-0.43}{\sqrt{\frac{0.41(1-0.41)}{700}+\frac{0.43(1-0.43)}{200}}}=-0.51$

4) Statistical decision

We can calculate the p value for this test.

Since is a two tailed test the p value would be:

$p_v =2*P(Z$

And we can use the following R code to find it: "2*pnorm(-0.505)"

The p value is a very high value and using any significance given $\alpha=0.05$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions are not significantly different.

4 0

3 years ago

Elizabeth rose her bike 6 1/2 miles from her house to the library and then another 2 2/5 miles to her friend milos house.

Irina-Kira [14]

What is the question?

5 0

3 years ago

8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c

Darina [25.2K]

Hope this is the right one.

Problem 8
p^2 - 30p + c
Step One
Take 1/2 of - 30
1/2 * -30 = - 15

Step 2
Square -15
(-15)^2 = 225
c = 225

Problem Nine
$\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} 
$
a = 1
b = 4
c = -15
$\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1}$
$\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2}$

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19)

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are. It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y
But that' s not what you were asked for.
The discriminate is > 0 so the roots are going to be real.
Answer; The discriminate is > 0 so there will be 2 real different roots.

4 0

3 years ago

The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept f

Vesnalui [34]

Any perpendicular line has a negative reciprocal slope. So your slope would be 2. The. You would have the equation : y=2x+b. You would then replace the coordinate (5,6) with x and y on your line to solve for b. Your equation would be : y=2x-4

5 0

3 years ago

Read 2 more answers

Two cars leave towns 760 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou

zaharov [31]

Answer:

89 km/hr

Step-by-step explanation:

Distance = Rate(speed) × Time

D = R × T

T = 4 hours

One car's rate is 12 kilometers per hour less than the other's.

Hence:

First's car's rate = r × 4 = 4r

Second car's distance = (r + 12) × 4 = 4r + 48

4r + 4r + 48 = 760

8r + 48 = 760

8r = 760 - 48

8r = 712

r = 712/8

r = 89 km/hr

The rate of the slower car is 89 km/hr

3 0

2 years ago