A marketing consultant is hired by a major restaurant chain wishing to investigate the preferences and spending patterns of lunch customers. The CEO of the chain hypothesized that the average customer spends at least $13.50 on lunch. A survey of 25 customers sampled at one of the restaurants found the average lunch bill per customer to be x¯= $14.50. Based on previous surveys, the restaurant informs the marketing manager that the standard deviation is ???? = $3.50. To address the CEO’s conjecture, the marketing manager decides to carry out a test of hypothesis. The null hypothesis is given by H0 : ???? = 13.50. The hypothesis test is set up to provide the marketing manager with:
a. proof that the null hypothesis is true.
b. evidence against the null hypothesis in favor of the alternative.
c. evidence against the alternative hypothesis in favor of the null hypothesis.
d. evidence in favor of the null hypothesis.

Answer:

33.4

Step-by-step explanation:

tanα = [tex]\frac{opp}{adj}[/tex]→[tex]tan 50^{o} = \frac{x}{28}[/tex]

x = 28 tan 50° = 33.4

Answer:

The value of missing x = 33.37 units

Step-by-step explanation:

Given

Ф = 50°

We know that

tan Ф = opposite/adjacent

Here:

opposite = x

adjacent = 28

so

tan Ф = opposite/adjacent

tan 50 = x/28

x = 28 × tan 50

  =33.37

Therefore, the value of missing x = 33.37 units.

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

__

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

Answer:

2

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Distribute:

3x+9-2x+2=5x-25

Combine like terms:

x+11=5x-25

Solve:

x-x+11=5x-x-25

11=4x-25

11+25=4x-25+25

36=4x

Divide by 9:

x=9.

Hope this helps :D

Answer:

x = 9

Step-by-step explanation:

Step 1: Solve both sides by distributing the values.

3x+9-2x+2 = 5x-25

Step 2: Put the like terms together.

3x-2x-5x = -25-9-2

-4x = -36

Step 3: Divide both sides by -4 to get the value of x.

[tex]\frac{-4x}{-4}[/tex] = [tex]\frac{-36}{-4}[/tex]

x = 9

Let's verify the answer.

3x+9-2x+2 = 5x-25

3(9)+9-2(9)+2 = 5(9)-25

27+9-18+2=45-25

20 = 20

Answer:

[tex]v_x=v\:cos\:\theta \:[/tex]

   [tex]=-10.7294[/tex]

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=-16.5218[/tex]

Step-by-step explanation:

Let 'v' be the vector

The equation of the horizontal component is:

[tex]v_x=v\:cos\:\theta \:[/tex]

The equation of the vertical component is:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

As

The horizontal component will be:

[tex]v_x=v\:cos\:\theta \:[/tex]

    [tex]=\left(19.7\right)\cos \left(237^{\circ \:}\right)[/tex]

     [tex]=-10.7294[/tex]

The vertical component will be:

[tex]v_y=v\:sin\:\theta \:\:[/tex]

    [tex]=19.7\sin \:\left(237^{\circ \:\:}\right)[/tex]

    [tex]=-16.5218[/tex]

Answer:

An assistant principal surveys each student who is sent for discipline

Answer: ITS A.), B.) and D.).

Answer:80 cent

Step-by-step explanation:

Answer:

in simplest terms 10 decreased by twice A can be written as

10-2a

Step-by-step explanation:

Answer:

No, this is not a function because this would not pass the vertical line test in which only one y point can be on one x axis not two. As you can see, on (0,3) and (0,(-2)) are on the same x axis. So, not a function.

Answer:

7 days

Step-by-step explanation:

Answer:

YES i think

Step-by-step explanation:

Answer:

5. Yes 6. No 7. No 8. Yes 9. No 10. No

For graphs, if two points are in the same vertical line, its not a function. For the bubble chart, if an x coordinate points to more than one y coordinate, its not a function, and for just some written out coordinates, if any of the x coordinates repeat, its not a function

Answer:

20 roses cost $91.65

Step-by-step explanation:

Given

1 dozen rose = $54.99

Required

Determine the cost of 20 roses

To calculate the proportion, we make use of:

[tex]c = kx[/tex]

Where

c = cost

k  = constant of proportionality

x = number of roses

For a dozen rose

[tex]c = 54.99[/tex] and [tex]x = 12[/tex]

So:

[tex]c = kx[/tex]

[tex]54.99 = k * 12[/tex]

[tex]54.99 = 12k[/tex]

[tex]k = \frac{54.99}{12}[/tex]

[tex]k = 4.5825[/tex]

For 20 roses

[tex]c = kx[/tex]

Where

[tex]k = 4.5825[/tex]

[tex]x = 20[/tex]

[tex]c = 4.5825 * 20[/tex]

[tex]c = 91.65[/tex]

Answer:

Solution :-

To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 18  

6 = 2*3

15 = 3*5

18 = 2*3*3

L.C.M. of 6, 15 and 18 = 2*3*3*5 = 90

Now,  

5 + 90 = 95

Hence, 95 is the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case.

Let us check our answer.

1) 95/6

Quotient = 15

Remainder = 5

2) 95/15

Quotient = 6

Remainder = 5

3) 95/18

Quotient = 5

Remainder = 5

So, the required number is 95.

Answer.

Step-by-step explanation:

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

Answer:

1.3245

Step-by-step explanation:

Answer:

DE, BC, BA, CA

Step-by-step explanation:

basically just find the ones that do not cross and those are parellel.

Answer:

kj gfbdhngfbd

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The number of butterfly notebooks should they order this month approximately will be 43.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The Miracle Wings Bug Exhibition hall sells bug-formed scratch pads in their gift shop. Last month, they sold 35 butterfly notepads and 55 ladybug journals.

The ratio of butterfly notebooks and ladybug notebooks will be given as,

⇒ 35 / 55

⇒ 7 / 11

The scratch pad was well known to the point that they believe should arrange more this month. They intend to arrange 110 ladybug notepads this month.

Let 'x' be the number of butterfly notebooks. Then the number of ladybug notebooks will be (110 - x).

If they keep the same ratio. Then the value of 'x' is given as,

x / (110 - x) = 7 / 11

11x = 770 - 7x

18x = 770

x = 42.77

The number of butterfly notebooks should they order this month approximately will be 43.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

Answer:

m=10

Step-by-step explanation:

add 2 on both sides then divide both sides by -7

Answer:

10

Step-by-step explanation:

-7m-2=-72

-7m-2+2=-72+2

-7m=-70

-7m/-7=-70/-7

m=10

Answer:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2x-2\\g(x) = -x^2+5x+12[/tex]

To find: [tex][f(x)]^2-g(x)[/tex]

First of all the square of first function f(x) will be found and then second function g(x) will be subtracted from the square of first function

Squaring the first function

[tex][f(x)]^2 = (2x-2)^2\\Using\ (a-b)^2 = a^2-2ab+b^2\\\[f(x)]^2 = (2x)^2-2(2x)(2)+(2)^2\\= 4x^2-8x+4[/tex]

Now subtracting g(x) from [f(x)]^2

[tex][f(x)]^2-g(x) = (4x^2-8x+4)-(-x^2+5x+12)\\\[f(x)]^2-g(x) = 4x^2-8x+4+x^2-5x-12[/tex]

Combining alike terms

[tex][f(x)]^2-g(x) = 4x^2+x^2-5x-8x+4-12\\\[f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Hence,

Subtracting g(x) from the square of f(x) gives us:

[tex][f(x)]^2-g(x) = 5x^2-13x-8[/tex]

Step-by-step explanation:

distance must positive

so, 25-12

=13

Answer:

7.78

Step-by-step explanation:

Answer:

O 7.78

Step-by-step explanation:

Have a wonderful day:)

Answer:

4 ≥ g

Step-by-step explanation:

Since 4 x 5=20 I started there and went one less because of the .95¢

so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.

We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)

Answer:

the answer is b.........

Answer:

2, 3, 6, 7

Step-by-step explanation:

Answer:

x-y=0

Hope this helped