In order to determine the average price of hotel rooms in Atlanta, a sample of 64 hotels was selected. It was determined that the average price of the rooms in the sample was $112. The population standard deviation is known to be $16. Use a .05 level of significance and determine whether or not the average room price is significantly different from $108.50.
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is [tex]\= x = \$ 112[/tex]
The population standard deviation is [tex]\sigma = \$ 16[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The population mean is [tex]\mu = \$ 108.5[/tex]
The null hypothesis is [tex]H_o : \mu = 108.50[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 108.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x - \mu }{ \frac{ \sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{112 - 108.50 }{ \frac{ 16}{\sqrt{64} } }[/tex]
=> [tex]z = 1.75[/tex]
From the z table the area under the normal curve to the left corresponding to 1.75 is
[tex]P( Z > 1.75) = 0.040059[/tex]
Generally p-value is mathematically represented as
[tex]p-value = 2 * P( Z > 1.75)[/tex]
=> [tex]p-value = 2 * 0.040059[/tex]
=> [tex]p-value = 0.08012[/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Function K(v) represents the kinetic energy, in joules, of an object with a mass of 20 kilograms traveling with
velocity v meters/second (m/s). The difference quotient of K(v) is 20v + 10h. What is the average rate of change in
kinetic energy of an object as the velocity increases from 5 m/s to 12.5 m/s?
A. 175 joules
B. 225 Joules
C. 300 Joules
D. 325 joules
Answer:
b. 225 joules
Step-by-step explanation:
plug in 5 m/s and 12.5 m/s in to v and h.
Answer:
A. 175 Joules
Step-by-step explanation:
The original price of a jacket is $68 the sale price is 30% off the original price what is the amount off of the original price
Answer:
68 x 30 / 100= 20 . 4 $
price after sale = 68 - 20.4 =47. 6 $
Solve the quadratic equation using any appropriate method.
- 2x2 + 7x - 7 = 0
Frosty lost the magic numbers from his hat. Help him find the numbers so his hat can be magical again in time for the party
The question is an illustration of an equilateral triangle.
From the complete question, the complete side of the triangle contains the following numbers:
1, 6 and 2.
The sum of these numbers represent the side length
[tex]Length = 1 + 6 + 2[/tex]
[tex]Length = 9[/tex]
On the base of the triangle, the numbers are 1 and 3.
So, the number that completes these set of numbers is 5.
This is so because, 5 added to the sum of 1 and 3 is 9
Lastly, the numbers on the last side of the triangle are 2 and 3.
So, the number that completes these set is 4.
This is so because, 4 added to the sum of 2 and 3 is 9
See attachment for the complete diagram
Read more about equilateral triangle at:
https://brainly.com/question/15294703
What is the missing number in the pattern above?
7,680, 1, 920, ___, 120, 30
a. 210
b. 480
c. 900
d. 1,440
The original price of a pair of shoes at DSW is $29.99. On Black Friday there is a mark down of 10%. What is the sale amount of the pair of shoes?
Answer:
The sale amount of the pair of shoes will be: $27
Step-by-step explanation:
The original price = $29.99
Mark down = 10%
Mark down amount = 10% × 29.99
= 0.1 × 29.99
= $2.99
Thus, the sale price = Original price - Mark down amount
= $29.99 - $2.99
= $27
Therefore, the sale amount of the pair of shoes will be: $27
Help don’t bully meeeeeeeeee
Answer:
table 1: -7, -3, 1, 4, 9
Step-by-step explanation:
You put the numbers under x on the tables into the formula where the x is and solve for y.
if you need more answers let me know
A 6-pack of plastic rings costs $2.28. What is the unit price? (step by step solution)
Answer:
$0.38
Step-by-step explanation:
To find the unit price, divide the price by the amount.
$2.28 / 6 =
$0.38
Hope this helps <3
3)
If f() = x and g(x) = 3x + 1, then g(f(2)= ?
1)
A)
4
B)
7
13
D)
28
Answer:
100% A = 4
Explanation
Hello ! :) please help me with a for me to mark you brainlst :)
I NEED HELP ASAP PLEASEEEE
Step-by-step explanation:
2126
Kohl’s is having a sale this weekend I picked out a new pair of boots for $75 a new coat for $130 and new gloves for $20 and then a show me a coupon for 30% off how much do I pay the cashier
what is the value of the expression 2^2 + 2^-4
If a leopard can run 500 years in 1/2min how many yards could they run in 1 hour
Answer:
?
Step-by-step explanation: how do expect us to know this
is this the correct answer?
Answer:
yess it's right .
y=6+3x
HELP ASPPP
Match the slope to its line.
Answer:
Line a has a slope of undefined as its a vertical line.
Line B has a slope of 4/3
line c has a slope of 3/4
and line d has a slope of 0 as its a horizontal line
Step-by-step explanation:
Answer:4/3 is B goes up 4 units then over 3
3/4 is C goes up 3 units and over 4
Factor the expression.
A. ++
Answer:
Factors are = (x+4) and (x+3)
Step-by-step explanation:
The given expression is :
[tex]x^2+7x+12[/tex]
We need to find the factors of the above expression. We can solve it using the middle term splitting method.
[tex]x^2+7x+12=x^2+4x+3x+12\\\\=x(x+4)+3(x+4)\\\\=(x+4)(x+3)[/tex]
So, the factors of the given expression is (x+4) and (x+3).
A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (Input only the numeric values and decimal points, such as 6.4.
is the puppy weighs 56 ounces then it weighs 3.5 pounds
Math question angles
Answer:
m∠2= 39
Step-by-step explanation:
m∠2 = m∠1 -29
m∠2 = 107- m∠1
so m∠1 -29 = 107- m∠1
m∠1 +m∠1 = 107 +29
2* m∠1 = 136 divide both sides by 2
m∠1 = 136/2 = 68
m∠2 = 68-29 = 39
Solve for x. 5x + 20 = 70
Answer:
Simplifying
5x + -20 = 70
Reorder the terms:
-20 + 5x = 70
Solving
-20 + 5x = 70
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20' to each side of the equation.
-20 + 20 + 5x = 70 + 20
Combine like terms: -20 + 20 = 0
0 + 5x = 70 + 20
5x = 70 + 20
Combine like terms: 70 + 20 = 90
5x = 90
Divide each side by '5'.
x = 18
Simplifying
x = 18
25 points BRAINLIEST The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers. Write the two equations and find both numbers
Answer:
11 and 7.
Step-by-step explanation:
7 + 11 = 18
7 times 2 is 14 and 14 + 11 = 25
Why are the solutions to the proportion‘s 50 over X equals 10/20 and 10/50 equals 20 over X the same?
Answer
both get the same equation 10x=1000 which simplifies to x=100. HOPE THIS HELPED!!!
Step-by-step explanation:
Do I really need to?
Brad bought a shirt at a 20% discount and with sales tax of 5%. How can the expression 1.05(x - 0.2x) be rewritten to show what percentage of the original price he paid?a) 0.84x
b) 0.85x
c) 0.21x
d) 0.8x
find the angle represented by x rounded to the nearest tenth of a degree
Answer:
x = 49.6°Step-by-step explanation:
Find the image attached;
From the image;
opposite side = 16
Hypotenuse = 21
Angle of inclination = x
Using the SOH identity
sinx = opposite/hypotenuse
sin x = 16/21
sin x = 0.7619
x = arcsin 0.7619
x = 49.6° (to the nearest tenth of a degree)
need help once again!
Answer:
θ = cos-1 (38/47)
Step-by-step explanation:
sin θ = [tex]\frac{opposite}{hypotenuse} = \frac{27}{47}\\[/tex]
θ = sin-1 (27/47)
cos θ = [tex]\frac{adjacent}{hypotenuse} = \frac{38}{47}[/tex]
θ = cos-1 (38/47)
tan θ = [tex]\frac{opposite}{adjacent} = \frac{27}{38}[/tex]
θ = tan-1 (27/38)
Tom had a board that was 4 ft. 5 in. long. He cut off a piece that was 1 ft. 9 in long. How much board does he have left?
A. 2 ft. 4 in.
B. 2 ft. 8 in.
C. 3 ft. 4 in.
D. 3 ft. 8 in.
what value of x makes this a right triangle ?
Which expression is equal to zero? 9 + (– 27) ÷ (– 3)
– 27 ÷ (– 3) – 9
– 27 ÷ 3 – 9
27 ÷ 3 + 9
Answer:
-27÷(-3)-9
=0
Step-by-step explanation:
Hope this helps you.
HELP ME! IT GEOMETRY
POSSIBLE ANSWERS ARE:
M<2=79°
M<2=90°
M<2=93°
M<2=127°
