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7nadin3 [17]
3 years ago
9

Please help! Thanks!: If a 95% confidence interval was being calculated using the following expression:

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

The confidence interval can be calculated from the margin of error, and vice versa,

The margin of error of the confidence interval is 2.156

The confidence interval is given as:

\mathbf{CI = 3.2 \pm 1.96 \cdot 1.1}

The formula of confidence interval is:

\mathbf{CI = \bar x\pm E}

Where E represents the margin of error.

So, by comparison:

\mathbf{E = 1.96 \cdot 1.1}

Multiply

\mathbf{E = 2.156}

Hence, the margin of error of the confidence interval is 2.156

Read more about margin of errors at:

brainly.com/question/13990500

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Alex simplified the expression 7+(3x 1.4)+5+2+(5x 14) to find the area of the figure on the grid.
Luden [163]

The error Alex made is that he found the perimeter of the figure instead of the area.

<h3>Area and perimeter of shapes</h3>

Given the expressions

7+(3x 1.4)+5+2+(5x 14)

He used the expression to simplify the grid

The expression simplified shows that Alex added all the measures of the sides of the grid instead of taking the product of the length and width

Note that the operation Alex performed is the perimeter of the figure instead of the area hence the error Alex made is that he found the perimeter of the figure instead of the area.

Learn more on area and perimeter of figure here: brainly.com/question/443376

3 0
2 years ago
Read 2 more answers
Find the disciminant and the number of real roots for this equation x^2+3x+8=0
Dovator [93]
The disciminant is x=-8/5
6 0
3 years ago
How do I find x here?
sdas [7]
When lines cross each other in a triangle from a point to the mid point of the opposite side as shown, AV  is 2 times as long as VF

To solve for X we would have AV = 2*VF

The equation becomes:

3x+6 = 2(x+6)
 
Now we solve for X

3x+6 = 2(x+6)

Distribute the 2 on the right side:

3x + 6 = 2x +12

Subtract 2x from each side:

X +6 = 12

Subtract 6 from each side:

x = 6


 Now if you needed to solve the length of AV or VF, you replace x with 6 and solve.




4 0
3 years ago
Jack invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of his in
pochemuha

Answer:

<em>The average rate of change of Jack's investment from the third year to the fifth year is </em><em>$6.43</em>

Step-by-step explanation:

The function that defines the value of his investment after x years,

f(x)=300(1.02)^x

Putting the value of x as 3 and 5, we can get the value of his investment after 3 years and 5 years respectively.

So,

f(3)=300(1.02)^3=318.36

f(5)=300(1.02)^5=331.22

Then,

\text{Average rate of change}=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

=\dfrac{331.22-318.36}{5-3}

=\dfrac{12.86}{2}

=\$6.43

6 0
3 years ago
Read 2 more answers
What is through :(0,5) and (-5,2)
Murljashka [212]

Answer:

y = 3/5x + 5

Step-by-step explanation:

Gradient of the line

\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\\frac{2 - 5}{-5 - 0}\\\\\frac{-3}{-5}

\frac{3}{5}

y = 3/5x + c

Substitute either point in to find c

y = 3/5x + c at (0,5)

5 = 3/5(0) + c

5 = 0 + c

5 = c

y = 3/5x + c at (-5,2)

2 = 3/5(-5) + c

2 = -3 + c

2 + 3 = c

5 = c

y = 3/5x + c

Replace c with 5

y = 3/5x + 5

4 0
4 years ago
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