What is the area of 1.7 km and 2.5 km? __

on the last night of scout camp Chris his wife Joe and the 11 other adults sit down for supper along one side of a long rectangu

yawa3891 [41]

Based on the information provided, it follows that there are 1,728 possible seating arrangements.

<h3>How can we find the number of possible arrangements?</h3>

To find the number of arrangements in this problem situation we must take into account the following key factors:

Chris only has 1 possible seat.
Jo has 2 possible seats.
Dave, Alex, and Barb have 3 possible seats.
Gareth, Fred, and Eddie have 3 possible seats.
There are 4 other adults who do not have a preference in seats but have the possibility of using 4 seats.

According to the above, we must use the factorization of these numbers to find out the number of possibilities we have to seat them.

<h3>What is factoring?</h3>

A factorial function is a mathematical tool that is characterized by using the exclamation mark “!” behind a number. The factorial function is used to express that the number accompanied by the symbol must be multiplied by all positive integers between that number and 1.

In accordance with the above, in the problem situation that we must solve, we must use the factorial function with the possibilities of:

Dave, Alex and Barb: 3! = 3 × 2 × 1 = 6
Gareth, Fred and Eddie: 3! = 3 × 2 × 1 = 6
Other 4 adults: 4! = 4 × 3 × 2 × 1 = 24

Subsequently, to calculate the number of total possibilities of the entire group we must multiply the possibilities of each group and individual as shown below:

Number of possibilities = 1 × 2 × 6 × 6 × 24
Number of possibilities = 1728

Learn more about the factorial function in: brainly.com/question/16674303

4 0

2 years ago

Which expression is equivalent to 12(6x+12)? A. 6x+14 B. 12x+1 C. 3x+12 D. 3x+14 please answer

insens350 [35]

Step-by-step explanation:

B.12x + 1

if it helps brainiest lol

6 0

3 years ago

The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer se

tankabanditka [31]

Answer:

A)H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

(b) Means

Company A___50.6___ min.

Company B___52.75___ min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Step-by-step explanation:

A)H0: μ1 − μ2 = 0

i.e there is no difference between the means of delayed flight for two different airlines

Ha: μ1 − μ2 ≠ 0

i.e there is a difference between the means of delayed flight for two different airlines

(b)

Company A___50.6___ min.

Company B___52.75___ min.

Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25

= 1265/25= 50.6

Mean of Company B = x`2= ∑x/n =

=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20

= 1055/20= 52.75

Difference Scores Calculations

Company A

Sample size for Company A= n1= 25

Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24

Mean for Company A= x`1= 50.6

Total Squared Difference (x-x`1) for Company A= SS1: 16938

s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75

Company B

Sample size for Company B= n1= 20

Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19

Mean for Company B= x`2= 52.75

Total Squared Difference (x-x`2) for Company B= SS2=7427.75

s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93

T-value Calculation

Pooled Variance= Sp²

Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)

Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65

s2x`1 = s2p/n1 = 566.65/25 = 22.67

s2x`2 = s2p/n2 = 566.65/20 = 28.33

t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3

The t-value is -0.30107.

The total degrees of freedom is = n1+n2- 2= 25+20-2=43

The critical region for two tailed test at significance level ∝ =0.05 is

t(0.025) (43) = t > ±2.017

Since the calculated value of t= -0.30107. does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

7 0

2 years ago

An ANOVA procedure for a two-factor factorial experiment produced the following: a = 6, b = 2, r = 2, SSA = 1.05, SSB = 16.67, S

rusak2 [61]

Answer:

Which is the output of the formula =AND(12>6;6>3;3>9)?

A.

TRUE

B.

FALSE

C.

12

D.

9

6 0

3 years ago

What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work

adoni [48]

Answer:

Area Of a Right Angled∆

=> 1/2 x Base x Height

Area of a ∆ Using Heron's Formula

=>

$\sqrt{s(s - a)(s - b)( s-c )}$

Where

S = Semiperimeter
a ,b& c = sides of the ∆

3 0

3 years ago

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What is the area of 1.7 km and 2.5 km? ___ square kilometers