Answer:
b=19.25
Step-by-step explanation:
Ok, so if you plug in 77 for A and 4 for h, you will get 77=4h. So from here, you have to divide 77 by 4, which is 19.25 and that is the answer for variable b.
-6y - 3 = 3 - 6y. Pls solve
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
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:
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.
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
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]
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
Round to the nearest tenth: 0.087
Answer:
0.1
Step-by-step explanation:
When rounding, look at whether or not the number is less than 5, or greater than or equal to 5.
If it is greater than 5, you will round up to the next number.
In this number, 8 is greater than 5. This means to the nearest tenth, it will be rounded to 0.1
Answer:
0.1
Step-by-step explanation:
0.087
The number to the right of the decimal is always the tenth's place. To the left of the decimal is the one's place 8 is a high number, so you are rounding up because 5 or higher is always a high number. If it was a low number, you round down because a low number is 4 and under.
Hope this helps
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
Find the midpoint M of the line segment joining the points R = (-3,-7) and S = (1, -1).
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]
Step-by-step explanation:
Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).
[tex] \text{Finding \: the \: midpoint} : [/tex]
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]
[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]
[tex] \text{Remember} : [/tex]
( + ) * ( - ) = ( - )( - ) * ( + ) = ( - )( + ) * ( + ) = ( + )( - ) * ( - ) = ( + )[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]
[tex] \text{Remember} : [/tex]
The positive integers are always added and posses the positive ( + ) sign.The negative numbers are always added but posses the negative sign ( - ).The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]
[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
[tex] \text{TheAnimeGirl}[/tex]
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.
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.
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
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, 2/30round 163,688 to the nearest hundred thousand
Answer:
200,000
Step-by-step explanation:
I hope this helped!
URGENT SOLVE
13 - 2n = 19
Answer:
n=−3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
13−2n=19
13+−2n=19
−2n+13=19
Step 2: Subtract 13 from both sides.
−2n+13−13=19−13
−2n=6
Step 3: Divide both sides by -2.
−2n/−2=6/−2
[tex]13 - 2n = 19[/tex]
Subtract sides -13
[tex]13 - 13 - 2n = 19 - 13[/tex]
[tex] - 2n = 6[/tex]
Divided sides by -2
[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]
[tex]n = - 3[/tex]
Done....♥️♥️♥️♥️♥️
Plato please help me
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.
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
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%
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
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
Bridgett 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
*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?
Evaluate the expression when y=2
y² – 5y—6
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
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.
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 LISTPLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%