Answer:
Part A: It was an increase.
Part B:80%
Step-by-step explanation:
First, state the info of the problem
Cost Price(CP):$500,000
Selling Price(SP):$900,000
Part A Solution
The SP is higher than the CP so there is a price increase
$900,000>$500,000
Part B Solution
Find price change
Price change equals SP-CP
$900,000-$500,000 equal to $400,000
State CP percent so it will later help in finding percent of price change
CP percent:100%(basic percent for the original cost of item,CP percent is basically 100%)
Cross multiply by comparing amount with percent
So if $500,000 equals 100%
∴$400,000 equals ?(can be represented by variable "x")
Cross-multiplying, we get
$500,000x equals 100%×$400,000(dividing both sides by $500,000)
x equals (400/5)% which further equals 80%
∴The percent of change for the house price was 80%
To confirm
If there was a price increase(Profit),the SP equals CP plus P
SP equals 100% plus 80%:180% ∴SP equals 180%
If 100% equals $500,000
∴180% equals x which is $900,000 after cross-multiplying.
Hope all confusion is now cleared.
Plato please help me
Oliver is playing a game with his friends. Each player gets
7 pieces. In all, there are 70 pieces on the game board.
Which number sentence can be used to find the number
of people playing the game?
Help please
Answer: 70/7
Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.
Paired t-test Application (Part 1)An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A data file containing these measurements is Fin_PTA.csvPreview the document. Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate
Complete Question
The complete question is shown on the first and second uploaded image
Answer:
Part 1
The correct option is B
Part 11
The correct option is H
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
Generally the sample mean for the input temperature is mathematically represented as
[tex]\= x _1 = \frac{\sum x_i}{n}[/tex]
[tex]\= x _1 = \frac{57.6 + 68.9 \cdots +60.4 }{15}[/tex]
[tex]\= x _1 = 62.57 [/tex]
Generally the sample mean for the output temperature is mathematically represented as
[tex]\= x _2 = \frac{\sum x_i}{n}[/tex]
[tex]\= x _2 = \frac{65.1 + 74.4 \cdots +67.3 }{15}[/tex]
[tex]\= x _2 = 55.97 [/tex]
Generally the difference between the mean of the input temperature and that of the output temperature is
[tex]d = \= x_1 - \= x_2[/tex]
=> [tex]d = 62.57 - 55.97 [/tex]
=> [tex]d = 6.6[/tex]
Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as
[tex]s_d = \sqrt {\frac{1}{n-1 } \sum [d_i - d]^2}[/tex]
=> [tex]s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2 }{15-1} }[/tex]
=> [tex]s_d = 1.732 [/tex]
The null hypothesis is [tex]H_o : \mu_1 -\mu_2 = 6[/tex]
The alternative hypothesis is [tex]H_a : \mu _1 - \mu_2\ne 6[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }[/tex]
[tex]t = \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }[/tex]
[tex]t = 1.342[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.342)[/tex]
From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14
[tex]P(t > 1.342) = t_{1.342 , 14} = 0.100478[/tex]
So
[tex]p-value = 2 * 0.100478)[/tex]
[tex]p-value = 0.201[/tex]
From the values obtained we see that the [tex]p-value > \alpha[/tex] hence the decision rule is fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
What is the answer to thissss???
Step-by-step explanation:
This is the furthest I could get.
If you want to write it as a result with no powers, let me know and I will write it.
Find 5 solutions to the question.
Y=-1.5x+2
Answer:
☆< 《HOPE IT WILL HELP YOU》>☆
Step-by-step explanation:
Y=1.5x+2
(x=1)y=1.5 (1) +2
y=1.5+2
y=3.5
(x=2)y=1.5(2)+2
y=3+2
y=5
(x=3)y=1.5 (3)+2
y=4.5+2
y=6.5
(x=4)y=1.5 (4)+2
y=6+2
y=8
(x=5)y=1.5 (5)+2
y=7.5+2
y=9.5
please mark my ans as BRAIN LISTBridgett makes and sells children’s hair bows.
Bridgett’s expenses were $14.74 for supplies.
Bridget sold 12 bows for $4 each.
What was Bridgett’s profit?
Answer: $33.26
Step-by-step explanation:
12 x 4= 48 (amount of money made from sales)
48 - $14.74 = $33.26
So she made $33.26 in profits
solve the equation
5x+4y=58xy.........
3x+7y=67xy.........
Answer:
x = 6, Y =7
Step-by-step explanation:
if you need explanation please ask in the comments .....I will edit the answer
8.
Fred's dog has been putting on weight and the veterinarian is concerned. At the dog's most recent veterinarian appointment in September the dog weighed 45 pounds. This was a 25% increase since the dog's last veterinarian appointment that was in March. How much did Fred's dog weigh at the veterinarian appointment in March?
Answer:
Fred's dog weighed 33.75 pounds at the appointment in March
Step-by-step explanation:
First you need to convert 25% to a decimal by moving the percent sign twice to the left and you will get 0.25.
Then you multiply 45 by 0.25 to find 25% of 45.
45 x 0.25= 11.25
After multiplying, you just have to subtract the product (11.25) by 45.
45 - 11.25 = 33.75
This is the same was doing 45-25%
From my sis: Round each mixed number to the nearest whole number then estimate the difference.
8 9/11-8 3/8
A: 10
B: 9
C: 11
D: 8
Answer:
Step-by-step explanation: a
What is the mixed number in decimal form? 4 23/100 *
Ughhh
Answer:
4.23
Step-by-step explanation:
First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.
Jina bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $400 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 8% per year. The total finance charges for one year were $275. How much did each computer cost before finance charges?
Answer:
2100
Step-by-step explanation:
The laptop costs $300 less than the desktop, so...
let x = cost of laptop
then x+300 = cost of desktop
The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:
252+=+.07%28x%29+%2B+.06%28x%2B300%29
252+=+.07x+%2B+.06x+%2B+18
234+=+.13x
1800+=+x
The cost of the laptop is x = $1800;
the cost of the desktop is x+300 = $2100
Evaluate the expression when y=2
y² – 5y—6
PLEASE HELP! GIVING BRAINLIEST!
You have a piece of canvas that you want to paint. You have enough paint to cover
252 square inches. You know you want one side to be 14 inches. How long should
the other side be if you want to use up all the paint?
show your work
Answer:
h = 18 in.Step-by-step explanation:
Area of a rectangular canvas = base x height (A = b*h)
where A = 252 in²
b = 14 in
find: height (h)
solution:
just plugin the values into the formula:
252 = 14 * h
h = 252 / 14
h = 18 in
c/3 = 30/5 apply the order of operations and show work
Answer:
c = 18
Step-by-step explanation:
Given
[tex]\frac{c}{3}[/tex] = [tex]\frac{30}{5}[/tex] = 6
Multiply both sides by 3
c = 3 × 6 = 18
Help me out please
I need it done by Monday
Answer:
1 C
2 D
3 C
4 B
5 A
6 C
Step-by-step explanation:
Answer: 1 C
2 D
3 C
4 B
5 A
6 C
Step-by-step explanation:
round 163,688 to the nearest hundred thousand
Answer:
200,000
Step-by-step explanation:
I hope this helped!
At her birthday party, Ms. Willow would not give her age directly. She said, 'If you add the year of my birth to this year, subtract the year of my 80th birthday and the year of my 30th birthday, and then add my present age, the result is 42.'
Ms. Willow's birth year = x
This year = 2020
80th birth year = x + 80
30th birth year = x + 30
Present age = 2020 - x
(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42
Simplify the right side.
-2x + 3930 = 42
Subtract 3930 from both sides.
-2x = -3888
Divide both sides by -2
x = 1944
1944 is Ms. Willow's birthday year.
As stated previously, her present age is 2020 - x, which equals 78
Ms. Willow is 78 years old
Here we want to interpret a word problem and transform it into an equation that we can solve.
We will find that her current age is 76.
First, let's define variables:
Her birth year = x
This year = 2021 (naturally this depends on the year we are on)
80th birth year = x + 80
30th birth year = x + 30
Then the actual age is the difference between the current year and the year when she was born:
Age = 2021 - x
What she says is:
"If you add the year of my birth to this year, subtract the year of my 80th birthday and the year of my 30th birthday, and then add my present age, the result is 42."
(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42
Now we can solve this for x:
x + 2021 - x - 80 - x - 30 + 2021 - x = 42
(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42
-2*x + 3932 = 42
3932 - 42 = 2*x
3890 = 2*x
3890/2 = x = 1945
The current age is:
age = 2021 - x = 2021 - 1945 = 76
Her current age is 76.
If you want to learn more, you can read:
https://brainly.com/question/24595783
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Please help me, thank you
Problem 1
Answer: C) No solution
---------------------------
Explanation:
We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1
So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.
======================================================
Problem 2
Answer: C) Infinitely many solutions
---------------------------
Explanation:
The two equations are equivalent. You can prove as such by isolating 2y in the first equation.
5x = 8-2y
5x+2y = 8
2y = 8-5x
2y = -5x+8
-5x+8 = 2y
This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.
======================================================
Problem 3
Answer: Choice A) [tex]-6 < y \le 3[/tex]
---------------------------
Explanation:
The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.
The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range
The other part is [tex]y \le 3[/tex] since y = 3 is the when the highest point occurs.
So writing [tex]-6 < y \le 3[/tex] describes all possible y values of each (x,y) solution in the shaded region.
-6y - 3 = 3 - 6y. Pls solve
if 57.75 is after a 30% taken off then what was the original price
Answer: 40.425
Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount
*BRAINLIEST* What values are equal to the inequality?
Answer:
A.-9
C.5
D.7
Explanation:
Take every number and put it in the spot of x and multiply every number by themselves like 9x9 or 5x5. Then see if it is equal too or less than 81. If it is equal too or less than 81 then it is correct.
Could I please have BRAINLIEST?
on a mountain the temperature decreases 18 degrees fahrenheit every 500 ft.what integer represents the change in temperature at 20,000 feet?
Step-by-step explanation:
first you double the temperature change and the hight of change being 18f and 500ft
this makes 36f and 1000ft
you then divide 20000 by 1000 witch is slightly easyer than 20000 divided by 500
this anwser is 20
then do 36-²⁰ witch you have to work out since i can do that in my head right now
What is the volume?
7 cm
5 cm
8 cm
cubic centimeters
Answer:
280 cm
or 280cm^2
Step-by-step explanation:
Answer: 280 cm^3
Step-by-step explanation: Multiply 7 x 5 x 8 = 280
Square root 3 to the power of 4 -6 to the power of 2
Answer:
-27
Step-by-step explanation:
[tex]( \sqrt{3} )^{4} - {6}^{2} \\ \\ = {3}^{2} - {6}^{2} \\ \\ = (3 + 6)(3 - 6) \\ \\ = 9( - 3) \\ \\ = - 27[/tex]
The length of a day on Earth is 24 hours. The length of a day on Mercury is 58 2/3 times the length of a day on earth. The length of a day on Mercury in hours is
Answer:
Roughly about 1,407.
Step-by-step explanation:
Simply multiply 24 times 58 2/3
The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than 1.
As per the given,
The length of a day on Mercury is 58 2/3 times the length of a day on earth.
58 2/3 = 58 + 2/3 = 176/3
176/3 times 24 will be,
176/3 × 24 = 1408 hours.
Hence "The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours".
For more information about multiplication,
brainly.com/question/14059007
#SPJ2
The United States Coast Guard assumes the mean weight of passengers in commercial boats is 185 pounds. The previous value was lower, but was raised after a tragic boating accident. The standard deviation of passenger weights is 26.7 pounds. The weights of a random sample of 48 commercial boat passengers were recorded. The sample mean was determined to be 177.6 pounds. Find the probability that a random sample of passengers will have a weight that is as extreme or more extreme (either above or below the mean) than was observed in this sample. (Round your answer to 3 decimal places. Example: If the answer is 0.8976 then you would enter 0.898 in the answer box.) Note: As extreme or more extreme means that we are not only interested in values that are lower than the ones we observed, but also values that are as far away from the mean as ours in the positive direction.
Answer:
0.973
Step-by-step explanation:
Given the following :
Population mean (μ) = 185
Standard deviation (σ) = 26.7
Sample mean (m) = 177.6
Sample size (n) = 48
P(m > 177.6)
Z = (m - μ) / σ/√n
Z = (177.6 - 185) / (26.7/√48)
Z = −1.920176
P( z > - 1.920) = 1 - p(z < - 1.92)
Using the z table :
1 - p(z < - 1.920) = 1 - 0.0274 = 0.9726
= 0.973
Which inequality represents the values of x that ensure triangle ABC exists?
A.
0.5 < x < 7.5
B.
3.0 < x < 7.5
C.
-0.5 < x < 7.5
D.
-3.0 < x < 7.5
Answer:
A. 0.5 < x < 7.5
Step-by-step explanation:
which of the following expressions is equal to 2x2 + 18
Answer:
22
Step-by-step explanation:
U should first multiply, then add, i.e.
4+18
=22
Arrange the fraction in asending and desending order 4/5 , 2/15 , 2/30
Answer:
See below
Step-by-step explanation:
Given fractions
4/5, 2/15, 2/30To arrange the fractions we need to bring them to common denominator
LCM(5,15,30) = 304/5 = 24/302/15 = 4/302/30In ascending order
2/30, 4/30, 24/30Reverse order
24/30, 4/30, 2/30