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3 years ago

Solve quadratic equations by factoring x cubed +3x squared - 4x= 0

2 answers:

8 0

x cubed +3x squared - 4x= 0
= x^3 + 3x^2 -4x = 0
=x(x^2 +3x -4) = 0
= x (x+4)(x-1) = 0

x = 0
x+ 4 = 0 then x = -4
x - 1 = 0 then x = 1
answer: x = 0, x = -4 and x = 1

Mumz [18]3 years ago

6 0

x(x^2-3x-4)=0 
factor 
x(x-4)(x+1)=0 

x=0 
x=4 
x=-1

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3. A researcher studied the eyesight of people at different ages. She calculated a vision score for each person in the study and

WITCHER [35]

Answer:

A)Predicted value = 103.5

B)Actual value = 102

C)So, these are not same

Step-by-step explanation:

The researcher used the line $y = -0.1 x +110$ to model the data.

A)When the researcher substituted the value of x = 65 into this equation, what is the resulting y value?

Substitute value x=65 in equation :

y = -0.1 x +110

y=-0.1(65)+110

y=103.5

Predicted value = 103.5

B)Based on the coordinates of the given data points, what is the actual actual vision score when x=65?

Use the given graph

When x = 65

y = 102

So, The actual actual vision score when x=65 is 102

C)When the researcher substituted x = 65 into the line of equation, is the resulting y value the predicted value or the exit value for the vision score of a 65-year-old? Use your results for parts a and b to answer this question.

Predicted value = 103.5

Actual value = 102

So, these are not same

7 0

3 years ago

The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an un

eimsori [14]

Answer:

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

The margin of error is:

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Population standard deviation of 3 years

This means that $\sigma = 3$

Sample of 18 voters

This means that $n = 18$

Margin of error:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.96\frac{3}{\sqrt{18}}$

$M = 1.39$

The margin of of error for a 95% confidence interval for the population mean is of 1.39 years.

3 0

3 years ago

Can any one solve this? Please show your work as well.

Talja [164]

Answer:

Step-by-step explanation:

It's correct. Clear

6 0

3 years ago

What is the circumference of the circle? (use 3.14 for pi)

sergij07 [2.7K]

Answer:

a. 100.48

Step-by-step explanation:

c = r(pi)(2)

r = 16 m

pi = 3.14

16 x 3.14 = 50.24

50.24 × 2 = 100.48

8 0

3 years ago

In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)

DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;