Answer:
A = 12.25 sq inches
Step-by-step explanation:
A = (7.8/2)²π
A = 3.9²π
A = 12.25 sq inches
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?
Answer:
a [2, -4, -6, -2]
Step-by-step explanation:
The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, we have,
Calculating the matrix Y
From the question, we have the following parameters that can be used in our computation:
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as: Y =[c d a b]
So, we have
Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
Read more about matrix at
brainly.com/question/11989522
#SPJ2
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?
Answer: 140 miles
let me know if this is wrong
Step-by-step explanation:
135-30=105
105÷0.75=140
Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !
Answer:
7x+7+5x+14=13x+10
12x+21=13x+10
-12x -12x
21=x+10
-10 -10
x=11
13(11)+10
angle 4=153
Step-by-step explanation:
I solved it by using my big brain.
help me pls i don't have many points pls help if you don't believe me go to my acc and look at my points i only have 13
Answer:
1. 14
2. 17.5
3. 60
4. 238
5. 91.4375
6. 58.065
Step-by-step explanation:
Sorry, I'm only doing 6, GOOD LUCK!!!
between which two consecutive integers does √ 350 lie
Answer:
18 and 19
Step-by-step explanation:
Answer:
18 and 19
Step-by-step explanation:
root 350 is 18.71
so in between 18 and 19
Find 0% of 60:
Find 100% of 60:
Find 50% of 60:
Find 25% of 60:
Find 75% of 60:
Answer:
Find 0% of 60: 0
Find 100% of 60: 60
Find 50% of 60: 30
Find 25% of 60: 15
Find 75% of 60: 45
Step-by-step explanation:
You are an interior designer being hired to redecorate your client's bedroom and home office. You are confident that you can finish the job with 16 hours of labor and you're going to charge your client $400. What will be your hourly rate of pay?
A. $20
B. $22.50
C. $25
D. $18.50
Answer:
C
Step-by-step explanation:
Givens
Total Cost = 400 dollars.
Time Taken = 16 hours
Hourly rate = ?
Formula
Hourly Rate = Total Cost / Number of hours
Solution
Hourly Rate = 400 / 16
Hourly Rate = 25
(05.03 LC)A polygon is shown:
A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 3 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)
Numerical Answers Expected!
Answer:
Do u have a picture? I can answer it better where its correct
Step-by-step explanation:
triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false
True because all properties are preserved under dilation from triangle ABC to A'B'C'.
We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'
We have to determine after dilation, the properties of triangle ABC and A'B'C' is true or false.
What is the transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.
here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.
So, the dilation of the triangle is not congruent but similar to the original triangle ABC
Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.
To learn more about the transformation visit:
https://brainly.com/question/4289712
#SPJ2
Answer:
Step-by-step explanation:
The answer is FALSE for the first one AB and A'B' are on the same line.
and TRUE for the second one The measures of B and B' are equal.
Solve each equation MUST SHOW WORK!!!! 10 points.
Answer:
1. x=34
2. c=8
3. x=9
4. m=32
That the answer for all 4.
Step-by-step explanation: Hope this help :D
Write 3 equivalent ratios for each ratio given.
6.25 to 1.25
Answer:
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Finding equivalent ratios:
To find equivalent ratios, we multiply or divide both a and b by the same value.
6.25 to 1.25
[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]
[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]
[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
Solve the following inequality.
-4x + 5 2 25 + 6x
A. X2
B. XS2
C. XS-2
OD. XX-2
Help if you can :)
Also, show work!
Plz dont add any type of link
thxx <3
2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?
Answer:
0.1875 miles (or 3/16 of a mile)
Step-by-step explanation:
In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.
1.75*2 = 3.5
2.5 * 3 = 7.5, 7.5/2 = 3.75
Now, I divide the whole hours into quarters
3.5/4 = 0.875
3.75/4 = 0.9375
Multiply both values by 3 to get the distance after 3/4 of an hour
0.875 = 2.625
0.9375 = 2.8125
remove the smaller value from the larger value
2.8125 - 2.625 = 0.1875
I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!
The diameter, D, of a sphere is 18.2 mm. Calculate the sphere's volume, V.
Use the value 3.14 for x, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Find the mean of the data in the bar chart below.
Answer:
2.5
Step-by-step explanation:
What is the maximum number of boxes that can be purchased with $65.00?
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
PLZ HELP I WILL MARK BRAINLIEST
Answer:
y=5x+1
Step-by-step explanation:
5(1)+1=6
5(2)+1=11
Step-by-step explanation:
We can see that in the table the difference between the numbers is 5.
So...
y=5x+1...
a) A car is purchased for $30000 and is depreciating at a rate of 12% per
year. Write an equation to represent this situation.
b) What is the car worth in 10 years?
c) How many years does it take for the car to be worth $1000
Answer: 187.5 gallons of gas
Step-by-step explanation:
He travels 30000 miles per year, and each gallon lets him travel 16 miles. Divide 30000 by 16 to get the amount of gas he uses in a year, which amounts to 187.5 gallons of gas.
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
Answer:
17 nickels
8 dimes
Step-by-step explanation:
n + d = 25
.05n + .10d = 1.65
use substitution: n = 25-d
.05(25-d) + .10d = 1.65
1.25 - .05d + .10d = 1.65
.05d = .40
d = 8 ∴ n = 17
Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
What is the answer ? What value is missing from the table?
Answer A. 17
Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.
HELP PLS HURRY! The graph shows the proportional
relationship between the total cost and the
number of pounds of cashews purchased.
What would the total price in dollars be for
11.5 pounds of cashews?
Answer:
57.5$
Step-by-step explanation:
5$ a pound, 11.5 pounds, multiply them and you get 57.5$
Answer:
45
Step-by-step explanation:
what is the area of the side of this house?
Answer:
25
Step-by-step explanation:
A sales representative notes that in a particular week he drove 1350 km and used 120 L of petrol. His sales patre
(in another vehicle) drove 940 km and used 88 L of petrol. Express their petrol usages as a rate in the form
kilometres: 100 L
9514 1404 393
Answer:
1125 km/(100 L)1068.2 km/(100 L)Step-by-step explanation:
If u represents the desired usage rate, then the proportion is ...
km/liters = ...
u/100 = 1350/120
u = 100(1350/120) = 1125 . . . . km/100 L — first vehicle
and ...
u/100 = 940/88
u = 100(940/88) = 1068.2 . . . . km/100 L — second vehicle
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
which expression represents the area of the trapezoid below? Use the given formula: A= 1/2 (b1 + b2)
Answer:
I think its 5x²-27x+10
Step-by-step explanation:
Area of trapezium:
a+b/2× h
So substitute into the formula:
4x - 1 + 6x - 3 /2 × (x - 5)
1. 4x - 1 + 6x - 3 (collect all like terms)
4x + 6x + -1 -3 = 10x - 4
2. 10x - 4 / 2
= 5x - 2
3. 5x - 2 × x - 5
Use FOIL:
5x ² - 25x - 2x + 10
= 5x ² - 27x +10