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alexgriva [62]
3 years ago
11

Sabrina is ordering a custom circular glass table for her dining room. The tables are ordered based on the area of the tabletop,

and the diameter of every tabletop is a whole number. She wants a table with enough room for at least 6 people and wants each person to have at least 5 feet of table edge space, so that it is not too crowded.
The minimum tabletop diameter Sabrina should order is feet.
The minimum tabletop area of the table Sabrina should order is square feet.
Mathematics
2 answers:
Yanka [14]3 years ago
5 0

Answer:

minimum diameter is 10 and minimum area is 78.5 (almost positive this is right might not be but it probably is)

loris [4]3 years ago
3 0

Answer:

Sabrina should make the diameter at least 30 feet.

I hope this helps/helped and could I get brainliest?? :) :)

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What is the factored form of 6x +11<br> (2x+
shutvik [7]
X =(6-√124)/4=(3-√ 31 )/2= -1.284
x =(6+√124)/4=(3+√ 31 )/2= 4.284

(2x2 - 6x) - 11 = 0
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An airplane flying at an altitude of 1000 feet spots a runway beacon 4000 feet away.What should the airplane’s angle of descent
eimsori [14]

tan(theta) = opposite side/adjacent side
So tan (theta) = 1000/4000= 1/4
so theta= arc tan(1/4)= 0.245 radians= 0.245*180/pi = 14degree
So option a is correct.

4 0
3 years ago
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;

The variance of the two distributions are equal

6 0
3 years ago
Lindsey gets paid a base salary of $400 per week plus $0.15 commission on each sale she makes. Write a verbal model and a algebr
vovikov84 [41]

Answer:

The verbal model and an algebraic expression representing Lindsay's total salary for the week is $400 + 0.15 <em>d</em>.

Step-by-step explanation:

The base salary of Lindsey is, <em>B</em> = $400.

The commission she earns on every sale made by her is, <em>c</em> = $0.15.

It is provided that Lindsey makes <em>d</em> dollars during the week.

The amount <em>d</em> dollars is the total commission earned by Lindsey in a week.

The formula to compute the commission earned will be represented by the expression:

<em>C</em> = <em>c</em> × $<em>d</em>

   = 0.15 <em>d</em>

The expression represent Lindsay's total salary for the week is:

Total Salary = Base Salary + Total Commission

                    = B + C

                    = $400 + 0.15 <em>d</em>

Thus, the verbal model and an algebraic expression representing Lindsay's total salary for the week is $400 + 0.15 <em>d</em>.

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olga55 [171]
3x+9+4x+x
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3 years ago
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