The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of future weekend guest bills to test the manager's claim. a. Which form of the hypotheses should be used to test the manager's claim? H 0: less than or equal to $600 H a: greater than $600 b. When H 0 cannot be rejected, can we conclude that the manager's claim is wrong? No c. When H 0 can be rejected, can we conclude that the manager's claim is wrong? Yes

Answer:

(52/10)

5 (2/10)

5.2

Step-by-step explanation:

Answer:

C)

B)

C)

Step-by-step explanation:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Answer:

A.52 cm2 ihope ihelp po hehe

Answer:

30

Step-by-step explanation:

Answer:

i belive it is 30 degre angle

Step-by-step explanation:

Step-by-step explanation:

Total money=15000

food=20%

edu.=10%

food AMT=20% of 15000

=20/100*15000

= 3000

education AMT= 10/100*15000

=1500

savings = 15000-1500-3000

=Rs10500

total expenditure=1500+3000

=4500

Answer:

[tex]2 - i[/tex]

Step-by-step explanation:

Substitute i for x. Remeber i means imaginart number.

[tex] {i}^{3} - 2 {i}^{2} [/tex]

Use the Imaginary number exponents rules

[tex] {i}^{2} = - 1[/tex]

[tex] {i}^{3} = - i[/tex]

[tex]i {}^{4} = 1[/tex]

Simplify the equation.

[tex] - i - ( - 2)[/tex]

[tex] - i + 2[/tex]

Write as a complex number in form a+bi

[tex]2 - i[/tex]

Answer:

1.5 liters

Step-by-step explanation:

300 mL per person

50 people

300 x 50 = 1500

1500 mL = 1.5 L

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

y = 4

Step-by-step explanation:

2x + 3y = 6. #1

2x + y = -2. #2

Subtract Eq 2 from Eq 1,

3y - y = 6 - (-2)

2y = 8

or

y = 4

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

Answer:

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

Answer:

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

Answer:

B) 289 C) 29 D) 7.28 (round as necessary) E)400 F) 7.81 (round as neccessary) G) 10 H) 3.31 (round as neccessary)

Step-by-step explanation:

Here is what you use to find the LONG SIDE ONLY

Pythagorean Theorem: A squared + B squared = C squared. After this, find the square root of C using a radical.

Answer:

B = 17

C= 29

D= 7.28

E= 20

F= 7.81

G= 10

H= 3.32

Step-by-step explanation:

c=a2+b2

9514 1404 393

Answer:

  3 3/8 ft³

Step-by-step explanation:

The volume of a cube is the cube of the side length.

  V = s³

  V = (1.5 ft)³ = 3.375 ft³ = 3 3/8 ft³

Answer:

here you go!

You Are Not Allowed To Put Links Or To Tell To Go To Other Websites according To The Rules

9514 1404 393

Answer:

  z = 14.4

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  z/12 = 6/5 . . . . . . . . . write a proportion*

  z = 12(6/5) = 72/5 . . . . . multiply by 12

  z = 14.4

_____

* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.

Answer:

36

Step-by-step explanation:

Answer:

no clue bro

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

The least 5th score is 177

Step-by-step explanation:

Given

[tex]First\ 4: 103, 143, 101, 110.[/tex]

[tex]Average = 126.8[/tex]

Required

The least 5th score

Represent the 5th score with x.

The average is calculated as:

[tex]Average = \frac{\sum x}{n}[/tex]

So, we have:

[tex]126.8 = \frac{103 + 143 + 101 + 110 + x}{5}[/tex]

[tex]126.8 = \frac{457 + x}{5}[/tex]

Multiply both sides by 5

[tex]634= 457 + x[/tex]

Solve for x

[tex]x = 634- 457[/tex]

[tex]x = 177[/tex]

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

Answer: rectangular prism and a pyramid I think

Step-by-step explanation:

Answer:

Combine like terms:

3x + 29 ≤ 62

-29          -29

3x = 33

Divide by 3 on both sides.

x = 11!

Answer:

x is 11

Step-by-step explanation:

4X + 24 - X + 5 ≤ 62

24 + 5

is 29

29-3x  ≤ 62

-3x  ≤  33

-x ≤ 11

x ≥ 11

Step-by-step explanation:

20 x 399 x 5

= (20×5) × 399

= 100×399

= 39,900