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3 years ago

Write an equation to represent the following statement 29 is 6 more than K solve for K K =

Mathematics

1 answer:

Lerok [7]3 years ago

4 0

Answer:

Step-by-step explanation:

29 is 6 more than K

Let's create an equation

$29 = 6 + k$

Move variable to L.H.S and change its sign

Similarly, move constant to R.H.S and change its sign

$- k = 6 - 29$

Calculate

$- k = - 23$

Change the sign on both sides of the equation

$k = 23$

Hope this helps..

Best regards!!

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Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope $(\hat \beta )$ is:

$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0

3 years ago

15)

Ludmilka [50]

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

8 0

3 years ago

Which one is correct A. B. C. D.

timofeeve [1]

I think the correct answer is D

3 0

3 years ago

A triangle has one angle measuring 3X degrees a second angle measures 2X +20°

Lena [83]

Answer : x = 20

Explanation :
3x + 2x +20 + 4x - 20 = 180

(3+2+4=9)

9x + 20 - 20
The 20s cancel each other out because one is positive and the other is negative

9x = 180

9x/9 = 180/9

X = 180 divided by 9

X = 20

7 0

3 years ago

Use the figure to find the measure of angle 1. *

QveST [7]

Answer: angle 1 = 110 degrees

This is because angle 1 and the red 110 degree angle are corresponding angles.

They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)

Corresponding angles are congruent only when we have parallel lines like this.

6 0

3 years ago