Answer:
The calculated value Z = 2.3084 > 1.96 at 5% level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
The hotel does not expects that 24% of all guests will request smoking rooms
Step-by-step explanation:
Step(i):-
Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.
Sample proportion
p = x/n = 39/223 = 0.174
Given Population proportion 'P' = 0.24
Given random sample size 'n' = 223
Level of significance ∝ =0.05
The critical value Z₀.₀₅ = 1.96
Null Hypothesis (H₀) : P=0.24
Alternative Hypothesis (H₁) : P≠ 0.24
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.174-0.24}{\sqrt{\frac{0.24 X 0.76}{223} } }[/tex]
|Z| = | -2.3084|= 2.3084
The calculated value Z = 2.3084 > 1.96 at 5% level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
The hotel does not expects that 24% of all guests will request smoking rooms
The baby giraffe weighed 185 pounds at birth. He gained weight at a steady rate for the first 9 months until his weight reached 644 pounds. How much did he gain each month? Write an equation and solve.
Answer:71.56
Step-by-step explanation:
A triangle on a sphere could have
degrees.
The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.
Answer:62% Step-by-step explanation:
A scientist started with a culture of 10 bacteria in a dish. The number of bacteria at the end of each successive minute increased exponentially, so that the number at the end of one hour was 500. How many hours (to the nearest hour) from the start of the experiment passed before there were 1,000,000 bacteria?
Answer: 3 hours
Step-by-step explanation: Exponential growth is a model showing a specific quantity increasing over time.
The formula for it is [tex]y(t)=A_{0}e^{kt}[/tex]
in which
y(t) is the quantity after time t
A₀ is initial value
k is rate of growth
t is time
To determine how much time has passed, first find the rate of growth and knowing that 1 hour has 60 minutes:
[tex]500=10e^{60k}[/tex]
[tex]e^{60k}=50[/tex]
[tex]60k=ln(50)[/tex]
k = 0.065
With the rate, determine the time
[tex]10^{6}=10e^{0.065t}[/tex]
[tex]e^{0.065}=10^{5}[/tex]
[tex]0.065t=5ln(10)[/tex]
t = 177.12 minutes
The amount of hours passed is
[tex]t=\frac{177.123}{60}[/tex]
t = 3
From the start of the experiment, it has passed 3 hours before there were 1,000,000 bacterias.
What is 218,742 rounded to the nearest hundred thousand?
Answer:
200,000
Step-by-step explanation:
its easy and simple lol
Answer:219,000
Step-by-step explanation: 7 is higher than 5 so you round it positively :)
Consider the system of linear equations below.
3x + y = -4
--5x + y = 8
Graph on a graph paper and
Describe the graph
A) they are parallel
B) the concide
C) they intersect
Which relation below represents a one-to-one function? A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197. A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5. A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11. A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.
Answer:
D is the correct answer actually
Step-by-step explanation:
just took the unit review
Answer:
d
Step-by-step explanation:
if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6
16) The expression 100 + 5n can be used to find the total price for students to take a field trip to the
science museum. If n represents the number of students, determine the cost for 120 students(n) to
Visit the science museum.
A. $225
B.$105
C. $600
D. $700
The half-life of cesium-137 is 30 years. Suppose we have a 20 mg sample.
a. Find the mass (in mg) that remains after t years.
b. How much of the sample (in mg) remains after 20 years?
c. After how long will only 1 mg remain?
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
[tex]A = \frac{B}{2^n}[/tex]
Where A = amount remaining
B = initial amount
[tex]n = \frac{t}{t_{0.5}}[/tex]
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
[tex]20mg = {2^{\frac{t}{30}}[/tex]
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.
is 33 prime or composite Explain
Answer:
33 is composite
Step-by-step explanation:Because its factors are 1, 3, 11, 33
Now I need thissss pls
Please help me solve this question will give you braisnlt !
Answer:
t = 54m + 160
Step-by-step explanation:
Input = m
Output = t
Equation of the function in slope-intercept form, is represented as t = km + b
Where,
k = slope/rate of change
b = y-intercept
Using two pairs, say, (2, 268) and (3, 322):
[tex] slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 [/tex]
k = 54
Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.
Thus:
268 = (54)(2) + b
268 = 108 + b
268 - 108 = b (subtraction property of equality)
160 = b
b = 160
To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.
Thus:
t = 54m + 160
What is the slope of the graph of
y = -3x + 2?
Answer: -3
Step-by-step explanation:
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
2. Sandra plans to swim a total of 2 2/3 miles every week for 2 1/5
weeks. How many miles is Sandra planning on swimming?
Answer:
5 13/15 miles
Step-by-step explanation:
Can someone help me on these questions?
Answer:
I can give you a few of them, sorry
Step-by-step explanation:
5) obtuse 6)straight 7)right 9) 24°
There are 3 green marbles and 15 blue marbles in a bag. What is the ratio of green marbles to total number of marbles?
Select all the equivalent ratios that represent this relationship.
3:15
1:6
2:12
1:5
3:18
2:10
Answer:
3:15
1:5
Step-by-step explanation:
Answer:
3:15 and 1:5
Step-by-step explanation:
Hope this helped ^^✨
y=5x-1
2x+y=13 how to solve
Answer:
x = 2, y = 9 or (2,9)
Step-by-step explanation:
Hello!
The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1
We can plug in the first equation into the second like this:
2x + y = 13 (we know y so we can plug it in)
2x + (5x - 1) = 13
2x + 5x - 1 = 13
7x - 1 = 13
Now we add 1 to both sides
7x - 1 + 1 = 13 + 1
7x = 14
x = 2
Now we plug in x to find y:
y = 5x - 1
y = 5(2) - 1
y = 10 - 1
y = 9
What expression is equivalent to 12y + (7y)(3)
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
A model of a telescope has a height of 15 inches and and a diameter of 3.5 inches. If the actual diameter is 10 inches, find its actual height.
Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]
Hence,
The actual height of telescope is 42.85 inches
PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
Ron drew a scale drawing of a neighborhood park. The scale he used was 1 centimeter: 2 meters. The actual width of the volleyball court is 8 meters. How wide is the volleyball court in the drawing?
Answer
16 wide
Step-by-step explanation:
because i do 8 x 2
Answer: 4 cm will equal the width of the volleyball court on the scale drawing
Step-by-step explanation:
1cm = 2m
8m/2m =4 cm
marry christmas even tho are parents lied to us and hes not real
Answer:
Merry christmas, and he is real
Step-by-step explanation:
Answer:
oop lol MERRY CHRISTMAS!!!! Also cute picture :)
HAPPY HOLIDAYS!
Send virtural hugs*
Are the equation linear or nonlinear?
Answer:
Results below
Step-by-step explanation:
Equation of the line
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2
[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2
The table below summarizes the results
What is 1/32 as a decimal
Answer:
0.03125
Hope this helps! :)
0.03125 is the answer :) hope it helped
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
I need help please and thank you 50 points and brain thing
Answer:
this is all correct btw love u baby
Step-by-step explanation:
a b c
<A opposite adjacent hypoth
<B adjacent opposite hypoth
Identify the common difference of the sequence: –8, –1, 6, 13
Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.
Arithmetic sequence:In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
In this problem, the sequence is: {-8, -1, 6, 13}
The difference between consecutive terms is:
[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]
Hence, the common difference of the sequence is of -7.
You can learn more about arithmetic sequence at https://brainly.com/question/6561461
PLZ HELP WILL GIVE BRAINLIEST
Answer:
A) C=6t
Step-by-step explanation:
Write the ratio as a fraction in lowest term: 15 to 36
Answer:
5/12
Step-by-step explanation:
15 to 36 can also be written as 15/36.
Divide by common values to simplify.
15÷3/36÷3
5/12
Best of Luck!