Answer:
The decision is to fail to reject the null hypothesis
This means that the population mean apartment rental rate now does not exceeds the level reported in 2002
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$895[/tex]
The population standard deviation is [tex]\sigma = \$225[/tex]
The sample size is [tex]n = 180[/tex]
The sample mean is [tex]\= x = \$ 915[/tex]
The sample standard deviation is [tex]s = \$ 227.50[/tex]
The level of significance is [tex]\alpha = 0.01[/tex]
The null hypothesis is [tex]H_o : \mu \le \$ 895[/tex]
The alternative hypothesis is [tex]H_a : \mu > \$895[/tex]
The test statistics is evaluated as
[tex]t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 915 - 895}{ \frac{225}{ \sqrt{180} } }[/tex]
=> [tex]t =1.193[/tex]
So from z-table the p-value is obtained, the value is
[tex]p-value = P(Z > t) = P(Z > 1.193 ) = 0.11643[/tex]
So From the value obtained we see that
[tex]p-value > \alpha[/tex] so we fail to reject the null hypothesis
Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66. What is each girls total monthly expenses for living in the apartment?
Answer:
$556.50
Step-by-step explanation:
25/2=$12.50
52/2=$26
66/2=$33
970/2=$485
485+33+26+12.50 = 556.50
After dividing, the total, Jenna and Harper will pay $556.5
What is division?In maths, a division is a process of splitting a specific amount into equal parts.
Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.
We will divide the total bill into two equal parts to find how much one girl should pay.
Therefore,
The total expense = 970+52+25+66 = $1113
Since, both girls are splitting the bill into halves, therefore,
$1113 / 2 = $556.5
That mean, each will have to pay $556.5
Hence, both will pay $556.5
For more references on division, click;
https://brainly.com/question/21416852
#SPJ2
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the elements of each set.
Answer:
[tex]C\ n\ C^c = \{ \}[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
Step-by-step explanation:
Required
Determine
[tex]C\ n\ C^c[/tex]
[tex](A\ n\ C)^c[/tex]
[tex]A\ u\ (B\ n\ C)[/tex]
Solving [tex]C\ n\ C^c[/tex]
[tex]C^c[/tex] implies that elements in U but not in C
Since
[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]C^c = \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{ \}[/tex]
Because there's no intersection between both
Solving [tex](A\ n\ C)^c[/tex]
First, we need to determine A n C
[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]A\ n\ C = \{1, 5, 9\}[/tex]
[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
Solving [tex]A\ u\ (B\ n\ C)[/tex]
First, we need to determine B n C
[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]B\ n\ C = \{2, 4, 8\}[/tex]
So:
[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
Which shows how to find the value of this expression when X=-2 and Y = 5?
(3x®y-2)2
32 (-2)
54
3(-2)6
54
32(5) 6
(-2)
3
(2) 854
Answer:
i think it's b
Step-by-step explanation:
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
What is the distributive property of 7(6+12)
Answer:
126
Step-by-step explanation:
(7x6) + (7 x 12)= 126
In the diagram below, DE is parallel to XY . What is the value of x
A. 110
B. 90
c. 120
D. 70
The value of x in the diagram is 110.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
DE is parallel to XY.
This means,
110 and x are corresponding angles.
Now,
The corresponding angles are equal.
So,
x = 110
Thus,
The value of x in the diagram is 110.
Learn more about corresponding angles here:
https://brainly.com/question/1597341
#SPJ7
3(a+1.5)=-1.5
what value of a makes the equation true?
The value of a that makes the equation true is -1.55.
What is the value of a?In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5
Divide both sides of the equation by 3: a + 1.5 - 1.5/3
a + 1.5 = -0.05
Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55
To learn more about division, please check: https://brainly.com/question/194007
#SPJ1
What is the product of 2 and q
Answer:
2q
Step-by-step explanation:
Product is the answer to a multiplication equation or expression. So you could put it like 2 x q but it would be easier and more understanding to do 2q...Or even 2(q).
What’s is bigger -1 3/7 or -1 1/2
Answer:
-1 3/7 is largerStep-by-step explanation:
To figure out which is larger, convert each of these mixed numbers to decimals.
-1 3/7 = -1.42857142857
-1 1/2 = -1.5
Negative numbers are larger the closer they are to 0. So, -1 is larger than -2, since -1 is closer to 0.
Since -1.5 < -1.43, -1 3/7 is larger than -1 1/2 since it is closer to 0.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.
4(2x-3) + 8(x-4) = 2(2x+6)
Answer: 4 2/3
Step-by-step explanation:
Because I said so
The graph models projected populations, in thousand, of two towns after x years. Both towns experience a 1.9% annual growth rate. Which equation represents g(x) as a translation of f(x)?
The image of the graph is missing, so i have attached it.
Answer:
g(x) = 5/3 * f(x)
Step-by-step explanation:
We want to find the equation represents g(x) as a translation of f(x).
From the graph, the y = f(x) function curve has the following observations,
- At x = 0, y = f(0) = 30
- At x = 10, y = f(10) = 36
Similarly, from the graph, the y = g(x) function curve has the following observations,
- At x = 0, y = g(0) = 50
- At x = 10, y = g(10) = 60
From those coordinates on the graph, we can see that;
f(0) = 30 and g(0) = 50
It means that for us to make g(x) as a translation of f(x), g(0) = fraction * f(0)
Fraction = g(0)/f(0) = 50/30 = 5/3
Thus;
g(x) = 5/3 * f(x)
Let's confirm with the second coordinate;
Thus;
g(10) = 5/3 * f(10)
g(10) = 5/3 * 36
g(10) = 60
This value is same as what is on graph, thus we can conclude that;
The equation represents g(x) as a translation of f(x) is; g(x) = 5/3 * f(x)
Expenses incurred on account increase the accounts receivable balance
See everything available through O’Reilly online learning and start a free trial. Explore now.
Crash Course in Accounting and Financial Statement Analysis, Second Edition by Matan Feldman, Arkady Libman
Changes in Accounts Receivable
Recall that net income (the last line on the income statement and the first line on the cash flow statement) captures revenues and expenses based on the accrual method of accounting. As such, credit sales, in addition to cash sales, may be recorded as revenues.
The sales generated on credit are recorded on the balance sheet as accounts receivable, while cash revenues are recorded on the balance sheet as cash.
I hope I explained well.
If accounts receivable increased from one year to the next, the implication is that more people paid on credit during the year, which represents a drain on cash for the company, as some of the revenues that came in during the year increased the accounts receivable balance instead of cash.
Conversely, if accounts receivable decreased from one year to the next, the implication is that those old accounts receivable were collected (i.e., credit sales were eventually converted into cash sales), representing cash inflow for the company.
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT
Evaluate the expression given the replacement values
Moving the slider to 9 inches shows that 9 inches is equivalent to 22.86 centimeters. 1 inch is 2.54 times bigger than a centimeter.
[tex] \sqrt{2 + \sqrt{2 + \sqrt{2} } } [/tex]
PLEASE HELP - Determine the slopes of the lines passing through each pair of points. - (-6,-3) and (4,1)
Answer: -4/10
Step-by-step explanation:
Since we are finding the slope, we have to do the rise over run strategy. In this case, rise (y) are the numbers -3 and 1 and the run (x) is the numbers -6 and 4. After that, we subtract them. So, -3 - 1 and -6 - 4. We get -4 over -10 (or - 4/10) which is your slope.
evaluate m-t2 divided (m+p)+2t if m=3,t=10,and p=2
Answer:
[tex]\frac{-97}{25}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]\frac{m-t^2}{(m+p)+2t}[/tex]
Step 2: Define variables
m = 3
t = 10
p = 2
Step 3: Plug them in
[tex]\frac{3-10^2}{(3+2)+2(10)}[/tex]
Step 4: Evaluate
[tex]\frac{3-100}{5+20}[/tex]
[tex]\frac{-97}{25}[/tex]
what is the factor of
[tex] {x}^{2} - 6x - 27[/tex]
Answer:
9 is correct answer
Step-by-step explanation:
[tex] {x}^{2} - 6x - 27 \\ = {x}^{2} - 9x + 3x - 27 \\ = x(x - 9) + 3(x - 9) \\ = (x + 3)(x - 9)[/tex]
x=9
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)
a missile is fired with 96% accuracy. Each firing is independent of the other. If four missiles are fired what is the probability only the second one misses
Answer: 0.03538944
Step-by-step explanation:
Given, The accuracy of missile = 96%
i.e. The probability that it will hit the shot = 0.96
Probability of missing the shot = 1-0.96= 0.04
Now, each missile is independent of other.
Therefore, the probability only the second one misses = (probability that first will hit the shot) x (probability that second one misses ) x (probability that third will hit the shot)x (probability that fourth will hit the shot)
Thus, the probability only the second one misses is [tex](0.96)(0.04)(0.96)(0.96)=0.03538944[/tex]
Hence, the required probability = 0.03538944
Complete the equation describing how x and y are related.
Answer:
5
Step-by-step explanation:
o+5=y=5
1+5=y=6
2+5=y=7
.:y=x+5
A car enters a highway driving 60 mph. A truck enters the highway 6 minutes later and drives 65 mph. The vehicles travel a total of 56 miles and arrive at the same time. How far did the car travel?
Answer:
65 or 60
Step-by-step explanation:
I am not really positive about my answers so please take this into consideration.
3 - 6n – 4 < 17
Help thanks
Answer:
n>-3
Step-by-step explanation:
add like terms:
3+-4= 1
Then you end up with--> 6n+1 < 17
Get the variable by itself ( add 1)
6n < 18
Then divide 6n from 18
switch signs.
The value of 10 small 4
Answer:
I'm guessing you mean 10^4 = ?
Well, that equals 10 * 10 * 10 * 10
which equals 10,000
Step-by-step explanation:
If 2 angles are both vertical and supplementary, then the angles are
3/4 is 1/3 of what number?write a division expression to match this question
Hi
3/4 = 1/3X
3/4 = X/3
3/4 *3 = X
9/4 = X
2.25 = X
find the difference. m+2/(m-4)^2 - m-2/(m-4)^2
Answer:
4/(m-4)^2
Step-by-step explanation:
=(m+2)/(m-4)^2-(m-2)/(m-4)^2
=m+2-m+2/(m-4)^2
= 4/(m-4)^2
This is the correct answer.
Help with b please I have 25 minutes left
Answer:
60 × 66,666
60 × 666,666
Step-by-step explanation:
If you look at the pattern on the top numbers, you can see that there is one six that keeps on getting added. I'm not sure of my answer, but that is what I would put.
2x+5(3x-4)=14
Step by step please
Answer:
x=2
Step-by-step explanation:
2x+5(3x-4)=14
Distribute
2x + 15x -20 = 14
Combine like terms
17x -20 = 14
Add 20 to each side
17x-20+20 =14+20
17x = 34
Divide by 17
17x/17 = 34/17
x=2
How is adding two negative fractions similar to adding two negative integers?
Which of these is not a rule of binary addition? * 1+1 = 10 1 – 1 = 0 1 – 0 = 0 1 + 1 = 11
Answer:
1-0 = 0 ( This is not the rule of binary) As in binary addition 1-0 = 1
The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while non students paid $6.00 each. If a total of $2032.00 was collected, how many students and how
many non students attended
The number of students was (Simplify your answer)
The number of non-students was (Simplify your answer)
Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given
[tex]Tickets = 434[/tex]
[tex]Students = \$4.00[/tex]
[tex]Non-Students = \$6.00[/tex]
[tex]Total = \$2032.00[/tex]
Solving (a): Number of students
Represent students with S and non students with N
So:
[tex]S + N = 434[/tex] --- (1)
[tex]4S + 6N = 2032[/tex] --- (2)
Make N the subject of formula in (1)
[tex]N = 434 - S[/tex]
Substitute 434 - S for N in (2)
[tex]4S +6(434 - S) = 2032[/tex]
Open Bracket
[tex]4S + 2604 - 6S = 2032[/tex]
Collect Like Terms
[tex]4S - 6S = 2032 - 2604[/tex]
[tex]-2S = -572[/tex]
Divide through by -2
[tex]S = 286[/tex]
Hence; 286 students attended
Solving (b):
Recall that
[tex]N = 434 - S[/tex]
[tex]N = 434 - 286[/tex]
[tex]N = 148[/tex]
148 non students attended
At a country concert, the ratio of the number of boys to the number of
girls is 2:5. If there are 250 girls, how many boys are at the concert?
Answer: There are 100 boys at the concert
Step-by-step explanation:
If the the ratio of boys to girls is 2:5 and and there are 250 girls then a number was multiplied by 5 to get 250 and that number needs to be multiply by 2 to find the number of boys.
So to find that number we will divide 250 by 5.
250/ 5 = 50
50 * 2 = 100