We cannot make any conclusions about the statistical significance of this difference without conducting a formal statistical test.
What is statistical test?A statistical test is a procedure used to make an inference or decision about a population based on a sample of data.
According to question:The mean values of each group, we can make the observation that the second group of cars has a higher fuel efficiency than the first group. Specifically, the mean fuel efficiency of the second group (49 mpg) is higher than the mean fuel efficiency of the first group (34 mpg).
Mathematically, we can represent the mean fuel efficiency of the first group as μ1 = 34 and the mean fuel efficiency of the second group as μ2 = 49. From this, we can see that the difference in means between the two groups is Δμ = μ2 - μ1 = 15 mpg, indicating that the second group has a higher fuel efficiency than the first group. However, we cannot make any conclusions about the statistical significance of this difference without conducting a formal statistical test.
Learn more about statistical test visit:
https://brainly.com/question/14128303
#SPJ1
Select all the equations that are equivalent to y-4 =2/3(x-1)
The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y = 2/3x + 10/3
How to determine the equivalent equation?From the question, we have the following parameters that can be used in our computation:
y - 4 = 2/3(x - 1)
We start by expanding the bracket
So, we have the following representation
y - 4 = 2/3x - 2/3
Next, we add 4 to both sides of the equation
This gives
y - 4 + 4 = 2/3x - 2/3 + 4
Evaluate the like terms
So, we have the following representation
y = 2/3x + 10/3
Hence, the equivalent equation is y = 2/3x + 10/3
Read more about equivalent equation at
https://brainly.com/question/2972832
#SPJ1
How many particles in
9.89 moles of Carbon?
The number of particles in 9.89 moles of carbon is solved to be
5.95 x 10^24 particlesHow to find the number of particles in 9.89 moles of carbonTo determine the number of particles in 9.89 moles of carbon, we can use Avogadro's constant, which is defined as the number of particles (atoms or molecules) in one mole of a substance.
Avogadro's constant is approximately 6.02 x 10^23 particles per mole.
So, the number of particles in 9.89 moles of carbon is:
= 9.89 moles x (6.02 x 10^23 particles/mole)
= 5.95 x 10^24 particles
Therefore, there are approximately 5.95 x 10^24 particles in 9.89 moles of carbon.
Learn more about Carbon at:
https://brainly.com/question/19083306
#SPJ1
Show that the equations x+y+z = 4, 2x+5y-2z =3, x+7y-7z =5 are not consistent
Answer:
We can start by using the second equation to eliminate x:
2x + 5y - 2z = 3
2x = -5y + 2z + 3
x = (-5/2)y + z + 3/2
Now we can substitute this expression for x into the first and third equations:
x + y + z = 4
(-5/2)y + z + 3/2 + y + z = 4
(-5/2)y + 2z = 5/2
x + 7y - 7z = 5
(-5/2)y + z + 3/2 + 7y - 7z = 5
(9/2)y - 6z = 7/2
Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.
Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:
(-45/2)y + 18z = 45/2
(45/2)y - 30z = 35/2
Adding these two equations, we get:
-12z = 40/2
-12z = 20
z = -5/3
Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:
(-5/2)y + 2(-5/3) = 5/2
(-5/2)y - 10/3 = 5/2
(-5/2)y = 25/6
y = -5/12
Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:
x + y + z = 4
x - 5/12 - 5/3 = 4
x = 29/12
Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:
2x + 5y - 2z = 3
2(29/12) + 5(-5/12) - 2(-5/3) = 3
29/6 - 5/2 + 5/3 ≠ 3
Since there is no solution that satisfies all three equations, the system is inconsistent.
Step-by-step explanation:
Answer:
See below for proof.
Step-by-step explanation:
A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.
Given system of equations:
\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)
Rearrange the first equation to isolate x:
\(x=4-y-z\)
Substitute this into the second equation to eliminate the term in x:
\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)
Subtract the first equation from the third equation to eliminate x:
\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)
Now we have two equations in terms of the variables y and z:
\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)
Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:
\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)
Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.
For example, if we subtract the second equation from the first equation we get:
\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)
Zero does not equal negative 11.
Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.
Interest is compounded semianually. Find the amount in the account after the given time.
Principal Rate of Interest Time
$1000
5%
3 years
The amount in the account is $
Step-by-step explanation:
p=1000,T=3 year ? R=5% semi annual compound ammount=p (1+R÷200)^2T=1159.94
the radius of a circle is 9 inches. what is the circumference?give the exact answer in simplest form.
Step 1
The circumference of a circle is given by;
\(2\pi r\)where;
\(\begin{gathered} r=9in \\ \end{gathered}\)Step 2
Find the circumference
\(\begin{gathered} C=2\times\pi\times9 \\ C=18\pi in\text{ches} \end{gathered}\)Hence, in terms of π the circumference of the circle=18πinches
g(t)=−(t−1)
2
+5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5
What is the average rate of change of
�
gg over the interval
−
4
≤
�
≤
5
−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?
The average rate of change over is 1.
Given that;
the function is,
⇒ g (t) = - (t - 1)² + 5
Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.
The value of G(-4):
The value of G(-4) can be determined by substituting t = -4 in the function
⇒ g (t) = - (t - 1)² + 5
Thus, we have,
⇒ g (t) = - (-4 - 1)² + 5
⇒ g (t) = - 20
Thus, the value of G(-4) = -20
The value of G(5):
The value of G(5) can be determined by substituting t = 5 in the function , we get,
⇒ g (t) = - (t - 1)² + 5
⇒ g (t) = - (5 - 1)² + 5
⇒ g (t) = - 11
Thus, the value of G(5) is, -11
Now, Average rate of change:
The average rate of change can be determined using the formula,
⇒ G(b) - G (a) / (b - a)
where, a = - 4 and b = 5
Substituting the values, we get,
⇒ G(5) - G (-4) / (5 - (-4))
⇒ ( - 11 - (- 20)) / 9
⇒ 9/9
⇒ 1
Thus, the average rate of change over the interval is. 1.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
Find the perimeter of the trapezoid.
16
7
5
4
20
Plz plz help
Answer:
48
Step-by-step explanation:
7+16+5+20=48
The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box below?
For safety reasons, the angle a ladder makes with the ground should be no greater than 67°. Find the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high.
Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.
What are trigonometric functions?
Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given the angle a ladder makes with the ground should be no greater than 67°.
So the angle θ ≤ 67°.
Let us assume the angle to be equal to 67°
The height of the roof from the ground is 23 feet.
The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.
With the sine function, find the length of the ladder -
sin θ = perpendicular/hypotenuse
Let the length of ladder be x.
sin 67° = 23/x
x = 23/sin 67°
x = 23/0.920
x = 25 feet
Therefore, the length of the ladder is 25 feet.
To learn more about trigonometric functions from the given link
https://brainly.com/question/1143565
#SPJ1
Find Y
Special right triangles
Please last question of the day!! Due very soon
Answer:
y= root 2 kilometers
Step-by-step explanation:
\( \frac{2 \sqrt{2} }{2} = \sqrt{2} \)
the cost of reparing road is 28,480 rupee per mile. how much does it cost to repairs one km
Answer:
1 mile = 1.61 km
1 mile = 28480 rupee
1.61 km = 28480 rupee
1 km = ?
\( = \frac{1 \times 28480}{1.61} \)
= 17689 rupee
why do people put explanations when they answer questions do u get more points for doing that
Answer:
no you dont get more points
Step-by-step explanation:
i think they just do it for fun
I need help with this ASAP
Answer:
x=5
Step-by-step explanation
Move all terms containing x to the left side of the equation.
4x-8=12
Move all terms not containing x to the right side of the equation.
4x=20
Divide each term by 4 and simplify.
x=5
1. Solve the system of equations. y = –3x + 4 x + 4y = –6 A. x = –2,y = –1 B. x = –2,y = 10 C. x = 2,y = –2 D. x = 3,y = –5 E. x = 4,y = –8
Answer:
C. x = 2, y = -2
Step-by-step explanation:
y = -3x + 4
x + 4y = -6
x + 4(-3x + 4) = -6
x - 12x + 16 = -6
-11x = -22
x = 2
y = -3(2) + 4 = -2
Calculate each of the following parts of parts. Be sure to show your work.
Step-by-step explanation:
please mark me as brainlist please
I’m stuck I need you to do it
Answer: The length of the prism is 8 yards
Step-by-step explanation:
First, take the volume of the prism, divide it by the width (2 1/2). Once you get that divide that answer by height (5 3/4) getting you the length of the prism (8 yards)
The length of a rectangle is 5 cm more than its width. If the perimeter is 58cm, calculate:
(a) Write an equation to show the perimeter of the rectangle ?
(b) calculate:
I.width
II.length
III. the area of the rectangle
The equation to show the perimeter of the rectangle is P = 2(2w + 5)
Writing an equation to show the perimeter of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Length = 5 more than the width
Also, we have
Perimeter = 58
This means that
P = 2(w + 5 + w)
P = 2(2w + 5)
Calculating the dimensions and the areaIn (a), we have
P = 2(2w + 5)
This gives
2(2w + 5) = 58
So, we have
2w + 5 = 29
2w = 24
w = 12
Next, we have
l = 12 + 5
l = 17
Lastly, we have
Area = 17 * 12
Area = 204
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Find the area of this parallelogram.
1
1
1
1
8.7 cm
10.1 cm
16.9 cm
Answer:
147.03 sq.cm.
Step-by-step explanation:
Equation for finding the area of a parallelogram:
b·h=area
Equation for this parallelogram(you don't need the 10.1):
16.9·8.7=147.03
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
The graph of the equation representing compound interest is that of:
A. linear function.
B. exponential function.
C. quadratic function.
D. None of the above
Answer:b
Step-by-step explanation:exponential function which means the value is is CONSTANTLY raised to the power
The graph the formula representing the compound interest will be exponential function.
What is graph?
In mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related".
Given is the equation representing compound interest.
The equation representing the compound interest is -
C = P( 1 + r/n )ⁿˣ
Where -
[P] is principle amount.
[r] is rate.
[x] is time.
The exponential function is eˣ, where [x] is a variable. Similarly, we can graph the formula representing the compound interest as shown in the figure attached. The graph will be exponential in nature.
Therefore, the graph the formula representing the compound interest will be exponential function.
To solve more questions on plotting graphs, visit the link below-
https://brainly.com/question/18422775
#SPJ2
A light bulb consumes 600 watt- hours per day. How many watt-hours does it consume in 5 days and 12 hours
Answer:
3,300
Step-by-step explanation:
600 divided by 24 = 25
120 houresin 5 days + 12 hours = 132
25 x 132 = 3,300
unit 5 homework 3 all things algebra anwser key
please help me ASAP!!!
Answer: 8
Because 8 - 11 = -3
Hope it helps.
Answer:
add a positive 8
Step-by-step explanation:
if you add a positive 8 so you will minus by 8 and you get -3 cause negative -11 is bigger then positive +8
What is the smallest positive integer $n$ such that $\sqrt[4]{56 \cdot n}$ is an integer?
The smallest positive integer n such that t \($\sqrt[4]{56 \cdot n}$\) is an integer is 686.
We have to find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer
To find the smallest positive integer n such that \($\sqrt[4]{56 \cdot n}$\) is an integer, we need to determine the factors of 56 and find the smallest value of n that, when multiplied by 56, results in a perfect fourth power.
The prime factorization of 56 is:
56 = 2³ × 7
The prime factors of 56 need to be raised to multiples of 4.
Therefore, we need to determine the smallest value of n that includes additional factors of 2 and 7.
To make the expression a perfect fourth power, we need to raise 2 and 7 to the power of 4, which is 2⁴ × 7⁴
The smallest value of n that satisfies this condition is:
n = 2 × 7³ = 2× 343 = 686
To learn more on Integers click:
https://brainly.com/question/490943
#SPJ1
Calculate the trade discount for 15 boxes of computer paper if the unit price is $14.26 and a single trade discount rate of %45 is allowed.
So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.
Trade discount refers to the reduction in list price known as a discount, allowed by a supplier to the consumer while selling the product generally in bulk quantities to the concerned consumer to increase the sales of the business as more customers are attracted when the discount is given on the list price of the product.
We have to calculate the trade discount for 15 boxes of computer paper.
the unit price of computer paper is $ 14.26, and a single trade discount rate is 45% allowed.
The trade discount on one unit computer paper is.
= 45%×14.26
= $6.417
now, trade discount on 15 unit of computer paper box is.
=6.417×15
=$96.255.
So, the trade discount for 15 boxes of computer paper if the unit price is $14.26, and a single trade discount rate of 45% allowed is $96.255.
learn more about trade discount.
https://brainly.com/question/29067322
#SPJ4
If x=—1/5 and y = 7/15 what is the value of x-y?
Answer:
X=3 and Y=2
Step-by-step explanation:
What is mS?
R
Q
1000
s
T
Answer:
m<S = 80°
Step-by-step explanation:
The figure given shows a cyclic quadrilateral.
Angle S and Angle Q are opposite angles of the cyclic quadrilateral. Thus, it is known that opposite angles of a cyclic quadrilateral are supplementary. Since m<Q = 100°
Therefore:
m<S = 180° - 100°
m<S = 80°
Substitute the (-2+5x) for y into this equation:
-3x+6y=-12 to solve for X.
Answer:
x = 0
Step-by-step explanation:
-3x + 6(-2+5x) = -12
-3x - 12 + 30x = -12
27x = 0
x = 0
-2(2x+1) - 3(x+3)
what are the steps I take to get the answer -7x - 11
Answer: well you’d want to do -2 times 2x and 1 but keep it as -4x + -2 - then multiply 3 by x and 3 making it -4x+-2-3x+9 add like terms -4x - -3x = 7 x and 2+9 = 11 then you got 7x-11
Step-by-step explanation:
I need help with this question please with details
The dimensions of the rectangular box are given as follows:
All the dimensions.
A. 6 inches long, 3 inches wide, 3 inches tallB. 9 inches long, 2 inches wide, 3 inches tallC. 18 inches long, 3 inches wide, 1 inch tallD. 27 inches long, 2 inches wide, 1 inches tallHow to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:
Volume = length x width x height.
The box's volume is obtained as follows:
54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)
Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.
More can be learned about the volume of a rectangular prism at brainly.com/question/22070273
#SPJ1