A television station claims that the amount of advertising per hour of broadcast time has an average of 16 minutes and a standard deviation equal to 1.4 minutes. You watch the station for 1 hour, at a randomly selected time, and carefully observe that the amount of advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time. Group of answer choices

Answer:

The answer is 2 root 10.

hope it helps..

Answer:

x = ±2[tex]\sqrt{10}[/tex].

Step-by-step explanation:

40 - x^2 = 0

Subtract 40 from both sides

-x^2 = -40

Divide both sides by -1

x^2 = 40

Find the square root of both sides

x = ±[tex]\sqrt{40}[/tex]

x = ±[tex]\sqrt{2 * 2 * 2 * 5}[/tex]

x = ±[tex]\sqrt{2^2 * 2 * 5}[/tex]

x = ±2[tex]\sqrt{2 * 5}[/tex]

x = ±2[tex]\sqrt{10}[/tex]

Hope this helps!

Answer:

dependent

Step-by-step explanation:

[tex]6x - 2y = - 12 \\ 2y = 6x + 12 \\ y = 3x + 6[/tex]

as you can see it's equal to the first equation.

then those two lines are the same!

means dependent.

Answer:

Step-by-step explanation:

[tex]sin \: 54 = \frac{opposite \: side}{hypotenuse} [/tex]

[tex]sin \: 54 = \frac{h}{10} [/tex]

[tex]0.8090 = \frac{h}{10} [/tex]

[tex]h = 10 \times 0.8090[/tex]

[tex]h = 8.09[/tex]

[tex]h = 8.1[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

h = 8.1 m

Step-by-step explanation:

Sin 54 = [tex]\frac{opposite }{hypotenuse}[/tex]

Where opposite = h, hypotenuse = 10 m

0.809 * 10 = h

=> h = 8.1 m

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

Answer:

its 16 √3

Step-by-step explanation:

Geometric mean of given values is 8√12.

Geometric mean of two numbers is the defined as product the numbers together and take the square root.

Let a = 24 and b =32

The geometric mean G = √a.b

Subsitute values of a and b in the formula

G = √24×32

G = √8×3×8×4

G = 8√12

thus, the geometric mean G is 8√12.

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Answer: A 6 hours 15 minutes

Step-by-step explanation:

Time = Distance / Speed

Time = 750 / 120

= 6.25 hours

Answer:

Option A

Step-by-step explanation:

Using unitary method:

=> 120 miles = 1 hour

=> 1 mile = 1/120 hour

Multiplying both sides by 750

=> 750 miles = [tex]\frac{750}{120}[/tex] hours

=> 750 miles = 6.25 hours

=> 750 miles = 6 hours 15 minutes

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{\frac{1}{x} }{(\frac{1}{x})^2+1 }[/tex]

= [tex]\frac{\frac{1}{x} }{\frac{1}{x^2}+1 }[/tex]

Multiply numerator/ denominator by x² to clear the fractions

= [tex]\frac{\frac{1}{x}(x^2) }{(\frac{1}{x^2}+1)x^2 }[/tex]

= [tex]\frac{x}{1+x^2}[/tex]

= [tex]\frac{x}{x^2+1}[/tex]

Answer:

The answer is option D

Step-by-step explanation:

Circumference of a circle is πd

where d is the diameter

From the question

d = 6½ feet = 13/2 feet

Circumference is

π × 13/2

= 22/7 × 13/2

= 143/7

[tex] = 20 \frac{3}{7} [/tex]

Hope this helps you

Answer:

d

Step-by-step explanation:

/its wat he sed

Answer:

Step-by-step explanation:

f-  -3u=21 divide each side by (-3)

-3u/-3=-21/3

u=-7

g) 23+a=12  use subtraction method , subtract 23 from both sides

23-23+a=12-23

a=-11

h) -9+b=15  use additional method, add 9 to both sides

-9+9+b=15+9

b=26

Answer:

15

Step-by-step explanation:

4x=60

60 divided by 4 = 15

Answer:

y = 6

Step-by-step explanation:

You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21

7(9x + 3y = -18)

-3(8x + 7y = 10)

63x + 21y = -126

-24x -21y = -30

39x          = -156

and solve to get x = -4

then plug -4 into x any of the equations to get y = 6

( 8(-4) + 7y  = 10

  -32 + 7y  =  10

      7y = 42

        y = 6)

Answer:

The first equation should be multiplied by - 7 and the second equation by 3 .

Step-by-step explanation:

answer on edge

Answer:

given,

base= 10

height= 8

now, area of triangle =

[tex] \frac{1}{2} \times b \times h[/tex]

or, area =

[tex] \frac{1}{2} \times 10 \times 8[/tex]

therefore the area of a triangle is 40 sq units.

hope its helpful..

Answer:

A, 40 sq.units

Step-by-step explanation:

Area of Triangle:   1/2·b·h

Substitute:  h= 8, b= 10

                  A = 1/2 (10)(8)

Simplify:   A = 1/2(80) = 40

Area= 40 sq. units

Answer:

None of the listed

Step-by-step explanation:

[tex]Solve-for ;x -in\\ 2x+2y =18\\x = 9-y\\Substitute , 9-y -for ,x- in -2x-2y=-6\\-2(9-y)-2y =-6\\18+2y-2y=-6\\18 = -6\\The -statement- is -false \\Answer ; No -Solution[/tex]

Answer:

y^9.

Step-by-step explanation:

[tex]y^3[/tex] + [tex]y^6[/tex] = [tex]y^{3 + 6}[/tex] = [tex]y^9[/tex]

Hope this helps!

Answer:

y^9

Step-by-step explanation:

I think you meant (y^3)(y^6).  Since the base (y) is the same in each factor, we just add the exponents:

(y^3)(y^6) = y^9

Answer:

CDB and HGI

Step-by-step explanation:

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Answer:

2nd Option

Step-by-step explanation:

A is incorrect because both mediums are at 75.

C is incorrect because Class B has a higher upper quartile.

D is incorrect because Class B has a max score of 100 while Class A has a max score of 95.

Answer: B

Step-by-step explanation:

The lower quartile is the end of the box, so class A box is greater because it is higher up and class B is lower down meaning it is less than,

Hope this helped!

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Answer:

D. 500 L

Step-by-step explanation:

Option D , 500  L  can be used to estimate the capacity of bath Tub

Volume is the space occupied by an object in three dimensional plane.

It is asked

Which among the given option is the best estimate for the capacity of a bath tub.

As the bath tub needs to contain large amount of water and so millilitre and centilitres will be very small unit.

Option D is 500  L and so can be used to estimate the capacity of bath tub

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Answer:

42 degrees

Step-by-step explanation:

The triangle is a right triangle and the angles must equal 180

so 48 plus 90 equals 138 and 180 minus 138 equale

42

Answer:

66

Step-by-step explanation:

Answer:

It's (B) Rhombus and (D) Rectangle

Step-by-step explanation:

Answer:

B.No. The input is not possible.

Step-by-step explanation:

According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.

Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.

Hence, it does not make any sense which results that input is not possible

Answer:

A relation

Step-by-step explanation:

A relation can be defined as a pairing of numbers in a data set. The pairing of numbers are the domain and the range.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

Step-by-step explanation:

Statement,                                      Reason

Triangle ACD is isosceles,             Given

∠1 ≅ ∠3,                                           Given

∠3 ≅ ∠4,                                          Base angles of isosceles triangle

∠1 ≅ ∠4,                                           Substitution

∠1 and ∠4, are alt int. ∠s,                Definition

AB ║ CD,                                          Have congruent alternate interior angles

If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel

The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).

Given the image showing an isosceles triangle, ΔACD.

The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.

We know already that:

ΔACD is isosceles

∠1 ≅ ∠3

∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.

By substitution, ∠1 ≅ ∠4

∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD

The complete two-column proof is in the image attached below.

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Answer:

Domain: (−∞,∞)

Range: (−∞,∞)

Step-by-step explanation:

trust me

Answer: D.) Cultural knowledge

Step-by-step explanation:

Answer:

solution,

Sum of exterior angles=360°

[tex]3x + 2x + 40 + 4x + x + 50 = 360 \\ or \: 3x + 2x + 4x + x + 40 + 50 = 360 \\ or \: 10x + 90 = 360 \\ or \: 10x = 360 - 90 \\ or \: 10x = 270 \\ or \: x = \frac{270}{10} \\ x = 27[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

0.76m²

Step-by-step explanation:

In the above question, we are given the following information.

Radius = 0.4m

Height = 0.45m

To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :

Lateral Surface Area of a cone =

πr√(h² + r²)

= π × 0.4√(0.45² + 0.4)

= 0.7566m²

≈ Approximately = 0.76m²

Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²

Answer:

I think it is 5

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

There are 6 ways to choose the first number and 5 ways to choose the second number to paint so the total number of ways is 6 * 5 = 30 but we are over counting by a factor of 2 since 1 and 6 is the same as 6 and 1 so it's 30/2 = 15, not 30. The only choices that have a product of 6 are 2 and 3 or 1 and 6 so the answer is 15 - 2 = 13.

Answer:

13 ways

Step-by-step explanation:

Total number of distinct ways to pair two faces

= C(6,2) = 6! / (2!4!) = 15

Total number of ways to pair two faces so that the product equals six

=cardinality {1*6, 2*3} = 2

Therefore

number of ways to paint two faces such that the product is not six

= 15 - 2

=13

Answer:

x≤2−√6 or 0<x≤2+√6

Answer:

1st Option

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Step 1: Find the missing leg

2² + b² = 6²

b² = 36 - 4

b = √32

Step 2: Find cosA

cosA = √32/6

cosA = 4√2/6

cosA = 2√2/3