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slega [8]
3 years ago
7

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

The margin of error is of 0.01.

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 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

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

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

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

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

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

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Analyze the diagram below Need CORRECT ANSWER BELOW!!!
Zarrin [17]

Answer:

D. 8

Step-by-step explanation:

The given diagram is a trapezium. We know that the consective sides of a trapezium are equal. so,

Putting the values of consecutive sides equal:

So, KI will be equal to LI

3x-7 = x+3

3x-7-x=x+3-x\\2x-7=3\\2x-7+7=3+7\\2x=10\\x=5

Putting the value of x in the equation of KI

3x-7

=3(5)-7

=15-7

=8

Hence, the correct answer is D. 8 ..

6 0
3 years ago
The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box.<br> X=
Volgvan
X=21

If the triangle are similar then you can divide.
75 divided by 25 is 3
72 divided by 21 is 3
so that means if you take 7 times 3 you will get 21
3 0
2 years ago
Read 2 more answers
Identify the​ vertex, the axis of​ symmetry, the maximum or minimum​ value, and the range of the parabola for y=x^2+6x+13
charle [14.2K]

Answer:


Step-by-step explanation:

First we can determine the x value of our vertex via the equation:

x=\frac{-b}{2a}

Note that in general a quadratic equation is such that:

ax^2+bx+c

In this case a,b and c are the coefficients and so a=1, b=6 and c=13.

Therefore we can determine the x component of the vertex by plugging in the values known and so:

x=\frac{-b}{2a}=\frac{-6}{2(1)}=\frac{-6}{2}=-3

Now we can determine the y-component of our vertex by plugging in the x-component to the equation and so:

f(x)=x^2+6x+13\\\\f(-3)=(-3)^2+6(-3)+13\\\\f(-3)=4

Therefore our vertex is (-3,4).  Now in vertex our x component determines is the axis of symmetry so the equation for axis of symmetry is:

x=-3

Similarly, the y-component of our vertex is the minimum or maximum.  In this case it is the minimum you can determine this because a is positive meaning that the parabola will point up, and so the equation for the  minimum is:

y=4

The range of the formula is the smallest y-value meaning the minimum y=4 and all real numbers that are more than 4, mathematically:

Range = All real numbers greater than or equal to 4.

4 0
3 years ago
How to get the answer.
Anna007 [38]

9514 1404 393

Answer:

  1.05 × 1.05 × 1.05 × 1.05 × 1.05 = 1.2762815625

Step-by-step explanation:

An exponent indicates how many times the base is a factor in the product. That is, 1.05 to the 5th power means ...

  1.05⁵ = 1.05 × 1.05 × 1.05 × 1.05 × 1.05

This multiplication expression is evaluated in the usual way.

  = 1.1025 × 1.05 × 1.05 × 1.05

  = 1.157625 × 1.05 × 1.05

  = 1.21550625 × 1.05

  = 1.2762815625

__

All scientific and graphing calculators have a button for computing the power of a number. On my calculator its label is \displaystyle \boxed{y^x}. The particulars of the function of this button can be found in the manual for your calculator.

For on-line calculators, such as the go.ogle calculator, or the Desmos graphing calculator, the caret (^) is used to signify an exponent. (See the input line in the first attachment for an example.)

6 0
2 years ago
Give an example of a function g(x) such that has vertical asymptotes at x = −1 and x = 2.
BigorU [14]

Answer:

\frac{69420}{(x+1)(x-2)}

Step-by-step explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.

6 0
3 years ago
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