All categories

2 years ago

Solve the Quadratic Equation for x

1 answer:

7 0

Answer:

x = +/- sqrt10 i + 1

Explanation:

Key: +/- is plus-minus

I used complete the square

x^2 - 2x + 11 = 0
x^2 - 2x = -11 -2/2 = (-1)^2 = 1
( x - 1 ) ^2 = -10
x - 1 = +/- sqrt10 i
x = +/- sqrt10 i + 1

Picture for clearer answers v

You might be interested in

A photograph is 4 inches high and 5 inches wide. You need to scale it up so it is 10 inches high. How wide should it be?

IrinaK [193]

Answer: 12.5 in. high

Step-by-step explanation: to get from 4 to 10, you have to muliplty by 2.5.

if you multiply 5 by 2.5, the answer is 12.5

8 0

3 years ago

* What is the slope in the graph? m= -1 m= 0 m= 1 undefined

KIM [24]

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined.

8 0

3 years ago

The mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. What is the p

Brrunno [24]

500 (non smokers)÷ 25(random students out of the group)= 20 inches. 20 inches ÷ 74 inches= 3.70

3 0

3 years ago

An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

monitta

Answer:

a) n =1623

b) $ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken

$\hat p=0.19$ estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by $\alpha=1-0.96=0.04$ and $\alpha/2 =0.02$ . And the critical value would be given by:

$z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912$

And rounded up we have that n=1623

Part b

The margin of error is given by:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

So then if w replace the value of n obtained from part a we got:

$ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

3 0

3 years ago

Graph the image of the figure using the transformation given. (across y=-x)

lana [24]

Answer:

The answer is B because if you take the line of y=-x (which you can look up on desmos if you don't know what y=-x looks like) and reflect over that line you can see that when the dot reflects over the line y=-x it goes to points (0,2)

Step-by-step explanation:

8 0

2 years ago