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Bumek [7]
3 years ago
9

Two real estate companies, Century 21 and RE/MAX, compete with one another in a local market. The manager of the Century 21 offi

ce would like to advertise that homes listed with RE/MAX average more than 10 days on the market when compared to homes listed with his company. The following data shows the sample size and average number of days on the market for the two companies along with the population standard deviations.Sample mean Sample size Population standard deviation Century 21 22 days 36 32 days RE/MAX 144 days 30 35 daysIf Population 1 is defined as RE/MAX and Population 2 is defined as Century 21, the 80% confidence interval for the difference in population means is:_________.(17.8, 26.2)(11.5, 32.7)(5.4, 38.6)(-3.0, 47.0)
Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

17.8 , 26.2

Step-by-step explanation:

The confidence interval is 80% for the given population. Significance level is 0.2 [ 1 - 0.8 ] . Sample size is given and sample mean is calculated with the given standard deviation. Sample mean is 36 days and population size is 144 days.

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the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day car
drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

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7 0
2 years ago
Find the value of each variable.
Harrizon [31]

Step-by-step explanation:

b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.

so,

b = 40°

due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.

so, angle c must be equal to angle b.

c = 40°

and as the sum of all angles in a triangle is always 180°, d is then

d = 180 - 40 - 40 = 100°

the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.

interior angle to a = 180 - 100 = 80°

due to the symmetry again, the arc angle opposite to a is the same as a.

as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.

so, we have

(a + a)/2 = 80

2a/2 = 80

a = 80°

there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.

8 0
1 year ago
An envelope contains $1.20 in dimes and nickels. if the dimes were quarters and the nickels were dimes, there would be $1.35 mor
balu736 [363]

The nickels in the envelope is $0. 12

<h3>How to determine the number</h3>

From the information given, we have that;

Dimes + nickels = $1. 20

1/4 dimes + dimes = $ 1. 35

Let dimes = d

Nickels = n

d + n = 1. 20    equation a

d/4 + d = 1. 35   equation b

Make 'd' subject from equation a

d = 1. 20 - n

Substitute into equation b

1. 20 - n/ 4 + 1. 20 - n = 1. 35

0. 3 - 0. 25n + 1. 20 - n = 1. 35

collect like terms

- 1. 25n = 1. 35 - 1. 5

- 1. 25 = - 0. 15

n = -0. 15/ -1. 25

n = 0. 12

Thus, the number of nickels in the envelope is $0. 12

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7 0
2 years ago
Which figures are polygons?
miss Akunina [59]
Figure d Is the answer
3 0
3 years ago
Read 2 more answers
El ingreso de una empresa de construcción de obras civiles se estima a través del tiempo de acuerdo con la siguiente función I(t
brilliants [131]

Usando conceptos de funciones cuadráticas, se encuentra que:

  • El máximo ingreso será alcanzado en 6 años.
  • El máximo ingreso será de 800 miles de soles.

La función que estimate el tiempo es dada por:

I(t) = -64 + 288t - 24t^2

Que es una función cuadrática con coeficientes a = -24, b = 288, c = -64.

El año en qué se alcanzará el máximo ingreso es el <u>valor de t de el vertice</u>, o sea:

t_V = -\frac{b}{2a} = -\frac{288}{2(-24)} = \frac{288}{48} = 6

El máximo ingreso será alcanzado en 6 años.

El valor del máximo ingreso es el valor de <u>I de el vertice</u>, o sea:

I_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}

Entonces:

I_v = -\frac{288^2 - 4(-24)(-64)}{4(-24)} = 800

El máximo ingreso será de 800 miles de soles.

Un problema similar es dado en brainly.com/question/21434178

5 0
2 years ago
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