The time spent waiting in the line is approximately normally distributed. The mean waiting time is 55 minutes and the variance of the waiting time is 11. Find the probability that a person will wait for more than 33 minutes. Round your answer to four decimal places.

Answer:

the right answer is C

Step-by-step explanation:

___________

• Length of the metal sheet = 9.96 m

• Breadth of the metal sheet = 5.08 m

As we know that,

★ Perimeter of rectangle = 2(length + breadth)

→ Perimeter of sheet = 2(9.96 + 5.08) m

→ Perimeter of sheet = 2(15.04) m

→ Perimeter of sheet = 30.08 m

Therefore, perimeter of the rectangular sheet is 30.08 m.

Answer:

C: 31

Step-by-step explanation:

15 x 15 = 225

16 x 16 = 256

256 - 225 = 31

Answer:

C) 31

Step-by-step explanation:

15 x 15 = 225

16 x 16 = 256

256 - 225 = 31

An absolute value is always a positive value

The absolute value for |-43| would be 43

Answer:

C

Step-by-step explanation:

2 angles and a shared side.

shared side is between the two angles

Answer:

[tex] \frac{1}{288} [/tex]

Step-by-step explanation:

the 1 will always stay the same because all of them are 1's

4×6=24

24×12=288

Answer:

garage bozo

Step-by-step explanation:

Answer:

33.9

Step-by-step explanation:

r = d/2

= 5.4

[tex]2\pi \: r[/tex]

[tex] = (2)(\pi)(5.4)[/tex]

=33.93

Answer:

y = 18 / (x + 2)²

Step-by-step explanation:

Inversely proportional

y * (x + 2)² = k

when x=1, y=2

k = 2 * (1 + 2)²

k = 18

-----------------------

y * (x + 2)² = 18

Divide both sides by (x + 2)²

y = 18 / (x + 2)²

Answer:

The one that has 303 as the answer is the correct one

Answer:

Area = x² + 10x + 21

Step-by-step explanation:

Area = L * W

Length = (x + 7)

Width = (x + 3)

=> Area = (x + 7) * (x + 3)

=> Area = x² + 3x + 7x + 21

Combining like terms would result in;

=> Area = x² + 10x + 21

Hope this helps!

Answer:

a) attached below

b) X - bar = 16.65

Y - bar =  80.04

y = 25.26 + 3.29 ( X )

c) attached in diagram below

Step-by-step explanation:

n = 15

∑ x = 20.0 + 16.0 + 19.8 + 18.4 + 17.1 + 15.5 + 14.7 + 17.1 + 15.4 + 16.2 + 15.0 + 17.2  + 16.0 + 17.0 + 14.4  = 249.8

∑ y =  88.6 + 71.6 + 93.3 + 84.3 + 80.6 + 75.2 + 69.7 + 82.0 + 69.4 + 83.3 + 79.6 + 82.6 + 80.6 + 83.5 + 76.3  = 1200.6

∑ xy = ( 20 * 88.6 ) + ( 16 *71.6 ) + ( 19.8 * 93.3 ) + ( 18.4 * 84.3 ) + ( 17.1 * 80.6 ) + (15.5 * 75.2 ) + ( 14.7 * 69.7 ) + ( 17.1 * 82.0 ) + ( 15.4 * 69.4 ) + ( 16.2 * 83.3 ) + ( 15 *79.6 ) + ( 17.2 * 82.6 ) + ( 16 * 80.6 ) + ( 17 * 83.5 ) + ( 14.4 * 76.3 )

 = 20127.47

∑x^2 =  20.0^2 + 16^2 + 19.8^2 + 18.4^2 + 17.1^2 + 15.5^2 + 14.7^2 + 17.1^2 + 15.4^2 + 16.2^2 + 15.0^2 + 17.2^2  + 16.0^2 + 17.0^2 + 14.4^2

   = 4200.56

∑ y^2 = 88.6^2 + 71.6^2 + 93.3^2 + 84.3^2 + 80.6^2 + 75.2^2 + 69.7^2 + 82.0 ^2 + 69.4^2 + 83.3^2 + 79.6^2 + 82.6^2 + 80.6^2 + 83.5^2  + 76.3^2

   = 96725.86

a) Scatter diagram showing given data

Attached below

B)

X - bar = ∑x / n  = 249.8 / 15 = 16.65

Y - bar = ∑y / n  = 1200.6 / 15 = 80.04

where: Y = Temperature and X = Chirps per seconds

b = [ n ∑ xy  - ( ∑x ∑y ) ] / [ n∑x^2 - ( ∑x )^2 ]

   = [ 15 * 20127.47 - ( 249.8  * 1200.6 )] / [15* 4200.56 - ( 249.8 )^2 ]

   = 2002.17 / 608.36  = 3.29

a = Y-bar - b( X-bar )

  = 80.04 - 3.29( 16.65) = 25.26

equation for least squares line

y = 25.26 + 3.29 ( X )

C) Graph the least squares line on scattered diagram

attached below              

Answer:

1180.2

Step-by-step explanation:

The average of 1,000,2300,1000,2600 is 1180.2

Answer:

-6 +8d -2c

Step-by-step explanation:

[tex]\frac{-2}{5} (15 -20d +5c) = \frac{-2}{5} \times 15 - \frac{-2}{5}\times20d +\frac{-2}{5}\times5c = -6 + 8d -2c[/tex]

Answer:

c number is the ans

Step-by-step explanation:

multiply each term with 6

Answer:

9m ×5m

Step-by-step explanation:

Area of a rectangle= length ×width

Let the width be W meters and the length be L meters.

2 equations can be written from the given information:

45= WL -----(1)

L= W +4 -----(2)

Substitute (2) into (1):

45= W(W +4)

Expand:

45= W² +4W

-45 on both sides:

W² +4W -45= 0

Factorise:

(W +9)(W -5)= 0

W+9=0 or W-5=0

W= -9 or W= 5

(reject)

Substitute W= 5 into (2):

L= 5 +4

L= 9

∴ The dimensions of the garden is 9m ×5m.

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Cancel the log from both sides and you'll get:

[tex]3x + 2 \: = 4x - 6 \: \\ 6 + 2 = 4x - 3x \: \\ x = 8[/tex]

The answer is: 15 ft

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The first two x-values, -4 and 0, fall in the first part of the function definition.

There is no function definition for x = 4, as the second part only applies for x > 4.

The last x-value, 8, falls in the second part of the function definition.

The function is evaluated by putting the x-value where x is in the expression and doing the arithmetic. For example, ...

  h(-4) = -(-4+1)^2 +7 = -(-3)^2 +7 = -9 +7 = -2

  h(0) = 6

  h(4) = undefined

  h(8) = -8/3

Answer:

because having 90% means big

Part A = 60

Part B is C

Answer:

yay

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

If you know slope-intercept form, it is y = mx + b, and the value of m is the slope, so the slope = 1/2

Answer:

I'm not sure if you typed your question correct, But the slope is 1/2

Step-by-step explanation:

dababy less goo

Answer:

$19.26

Step-by-step explanation:

12 × .5 = 6

6 + 12 = 18

18 × 0.07 = 1.26

1.26 + 18 = 19.26

Step-by-step explanation:

here are all the anwsers

Answer:

76

Step-by-step explanation:

Answer:

I believe the answer is 76

Answer:

Step-by-step explanation:

?Answer:

Step-by-step explanation: