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Ghella [55]
3 years ago
14

use the discriminant to determine the number and type of solutions for the following equation x^2+10x+25=0

Mathematics
1 answer:
marta [7]3 years ago
6 0
There is 1 solution and it is x= -5
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The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the
Katyanochek1 [597]

Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

7 0
3 years ago
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden
Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that n = 2161, \pi = \frac{1214}{2161} = 0.5618

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}

M = 0.0209

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0
3 years ago
Find the length of side a.
coldgirl [10]
The length of side A is 194
6 0
2 years ago
Read 2 more answers
Needs to be over P_4(C), I know how to do over P_4(R).
nasty-shy [4]

Answer:

defendant who, before being served with process, timely returns a waiver need not serve an answer to the complaint until 60 days after the request was sent—or ...

Step-by-step explanation:

7 0
2 years ago
the larger of two number is nine more than four times the smaller number. the sum of the two numbers is fifty-nine. find the two
VLD [36.1K]
This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y. 
We are told that X + Y = 59
 We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59    [then combine like terms]
9+5Y=59            [subtract 9 from both sides]
5Y=50                   [divide both sides by 5 to isolate the Y]
Y=10                      [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
4 0
3 years ago
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