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vodomira [7]
3 years ago
11

The standard deviation of the midterm scores at ucb for stats 2 is 50 points. the teacher takes a sample of 100 students' scores

to estimate the mean score of students in your class. what is the standard deviation of the sample mean?
Mathematics
1 answer:
Alborosie3 years ago
6 0
<span>The measure standard deviation quantifies the amount of variation or dispersion of a set of data values.</span>The standard deviation is the square root of the variance.
The standard deviation in this case is 50/ sqrt(100)= 50/10=5.



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If a quadratic equation with real coefficients has a discriminant of 3 then the two roots must be
lukranit [14]

In a quadratic equation

q(x) = ax^2 + bx + c 

The discriminant is = b^2 - 4ac

We have that discriminant = 3

If b^2 - 4ac > 0, then the roots are real.

If b^2 - 4ac < 0 then the roots are imaginary

<span>In this problem b^2 - 4ac > 0   3 > 0 </span>

then the two roots must be real

6 0
3 years ago
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

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3 years ago
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Savatey [412]

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(0,-7) would be left 7 units so its point a

4 0
2 years ago
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Step-by-step explanation:

It would be 30 since the LCM of 10 and 3 is 30.

If you need further explanation, reply to this answer but that's about it.

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Answer:

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Step-by-step explanation:

Some answers may not add up the same way!

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3 years ago
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