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kow [346]
3 years ago
12

What is the slope of the line 4x + 7y = - 35?

Mathematics
2 answers:
sasho [114]3 years ago
5 0

Answer:

-4x/7

Step-by-step explanation:

4x + 7y = -35

7y = -4x - 35

y= -4x/7 - 35/7

y= -4x/7 - 5

-4/7 (the slope is the x equation)

kvv77 [185]3 years ago
4 0

Answer:

-4/7

Step-by-step explanation:

Move the 4x over and divide by 7

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The​ "fear of negative​ evaluation" (FNE) scores for 11 random female students known to have an eating disorder (1) and 14 rando
SOVA2 [1]

Answer:

a. The 95% confidence interval for the difference in mean is C.I. = -3.6 < μ₂ - μ₁ < 4.96

B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval

c.  The assumptions made are;

The variance of the two distributions are equal

Step-by-step explanation:

The given parameters are;

The mean for the 11 students with an eating disorder, \overline x_1 = 13.82

The standard deviation for the 11 students with an eating disorder, s₁ = 4.92

The mean for the 14 students who do not have an eating disorder, \overline x_2 = 13.14

The standard deviation for the 14 students with an eating disorder, s₂ = 5.29

a. The 95% confidence interval for the difference in mean is given as follows;

\left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2}\sqrt{ \hat \sigma^2 \times\left( \dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right)}

The pooled standard deviation, is therefore;

\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}

Therefore;

\hat{\sigma} =\sqrt{\dfrac{\left ( 11-1 \right )\cdot4.92^{2} +\left ( 14-1 \right )\cdot 5.29^{2}}{11+14-2}} \approx 5.13241

Where at degrees of freedom, df = n₁ + n₂ - 2 = 25 - 2 = 23 the critical-t = 2.07

\left (13.82- 13.14  \right )\pm 2.07 \times\sqrt{5.13241^2 *(\dfrac{1}/{11}+\dfrac{1}{14}\right)}

C.I. = \left (13.82- 13.14  \right )\pm 2.07 \times\sqrt{5.13241^2 \times\left(\dfrac{1}{11}+\dfrac{1}{14}\right)}

Therefore, we get;

C.I. = 0.68\pm 4.28

C.I. = -3.6 < μ₂ - μ₁ < 4.96

b. Therefore, given that the confidence interval extends from positive to negative, therefore, there is a possibility that there is no difference between the mean FNE scores for bulimic and normal students

B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval

c.  The assumptions made are;

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A large totem pole in the state of Washington is 100 ft tall. At a particular time of day, the totem pole casts a 249-ft-long sh
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I'm assuming A=the hypotenuse

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Since distance cannot be negative, the answer would be:

A=about 268.3ft
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