Answer:
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.
Step-by-step explanation:
Edge 2021
Whether the addition increases gas mileage for all vehicles may be difficult to determine.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.
The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.
This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.
Learn more about sample space here:
brainly.com/question/30206035
#SPJ3
A study found that on average there were 566,000 tweets per hour.
Using this data, how many tweets are there per minute?
A
33, 960,000
B
13,584,000
С
18,866.6
D
9,433. 3
Work Shown:
566,000 tweets = 1 hour
566,000 tweets = 60 minutes
566,000/60 tweets = 60/60 minutes .... divide both sides by 60
9,433.3 tweets = 1 minute
There were roughly 9,433.3 tweets per minute.
Find an equation of the line that satisfies the given conditions.
Through (−1, −2); perpendicular to the line 2x + 7y + 6 = 0
Solve: 6n + 5 < 11
Wich graph shows the solution?
Answer:
n<1
first graph
Step-by-step explanation:
subtract 5 from both sides
6n<6
divide by 6
n<1
please mark brainliest if correct
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is 15 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles. Do not include the degree symbol in your answer.
Answer:
x = 45
y = 60
z = 75
Step-by-step explanation:
We can create three different equations with the given variables:
x + y + z = 180
y + z = 3 x
z = y + 15
then we can use this last equation to substitute for 'z" in the second equation:
y + z = 3x
y + y + 15 = 3 x
2 y + 15 = 3 x
x = 2/3 y + 5
Then we can re-write the first equation in terms of y and solve for this unknown:
2/3 y + 5 + y + y + 15 = 180
2/3 y + 2 y = 160
8/3 y = 160
y = 3 * 160 /8
y = 60
Then x = 2/3 (60) + 5 = 45
so x = 45
and finally: z = 60 + 15 = 75
so z = 75
2^{51} mod 22 in words, two to the power of fifty-one mod twenty-two
Since 2⁵ = 32, and
2⁵ ≡ 32 ≡ 10 (mod 22),
we have
2⁵¹ ≡ 2 • 2⁵⁰ ≡ 2 • (2⁵)¹⁰ ≡ 2 • 10¹⁰ (mod 22)
Now consider 10¹⁰ (mod 22):
10 = 2 • 5
10¹⁰ ≡ 2¹⁰ • 5¹⁰ ≡ (2⁵)² • 5¹⁰ ≡ 10² • 5¹⁰ ≡ 2² • 5¹² (mod 22)
so that
2⁵¹ ≡ 2³ • 5¹² (mod 22)
Now consider 5¹² (mod 22):
5 and 22 are coprime, and ɸ(22) = 10 (where ɸ(n) is the Euler totient function). By Euler's theorem,
5¹² ≡ 5² • 5¹⁰ ≡ 5² • 1 ≡ 25 ≡ 3 (mod 22)
and so
2⁵¹ ≡ 2³ • 3 ≡ 24 ≡ 2 (mod 22)
Another, more tedious method: Start with smaller powers of 2 and look for a pattern.
2 ≡ 2 (mod 22)
2² ≡ 4 (mod 22)
2³ ≡ 8 (mod 22)
2⁴ ≡ 16 (mod 22)
2⁵ ≡ 32 ≡ 10 (mod 22)
2⁶ ≡ 2 • 32 ≡ 2 • 10 ≡ 20 (mod 22)
2⁷ ≡ 2 • 20 ≡ 40 ≡ 18 (mod 22)
2⁸ ≡ 2 • 18 ≡ 36 ≡ 14 (mod 22)
2⁹ ≡ 2 • 14 ≡ 28 ≡ 6 (mod 22)
2¹⁰ ≡ 2 • 6 ≡ 12 (mod 22)
2¹¹ ≡ 2 • 12 ≡ 24 ≡ 2 (mod 22)
2¹² ≡ 2 • 2 ≡ 4 (mod 22)
and so on, with a cyclic pattern of length 10. That is, [tex]2^{10k+1}\equiv2\pmod{22}[/tex] for any integer k ≥ 0. So 2⁵¹ ≡ 2 (mod 22).
John saved $50,000. and wants to put the money into an Index Annuity that pays an average of 8.4% per year, compounded semi-annually. How long will it take him to reach his goal of $1,000,000?
Answer:
Divide 50,000 by 8.4...get that number and add it to the 50,000, divide again by 8.4 and add back, repeat until you reach 1,000,000... happy adding
-16 + (unknown) = -6
Answer:
10
Step-by-step explanation:
A farmer plants 22,680 wheat plants in 126 rows. Each row contains the same number of plants. How many wheat plants are in each row?
Help me please
Answer:
180 plants per row
Step-by-step explanation:
This is a division problem.
When he places 22,680 plants in 126 rows, he is dividing the 22,6980 plants by 126 rows.
22,680/126 = 180
Answer: 180 plants per row
In the diagram above, 24 = 240°.
Find the measure of Z3.
23 = [ ? 1°
Answer:
∠3 = 140Step-by-step explanation:
∠4 + ∠3 = 180
40 + ∠3 = 180
∠3 = 180 - 40
∠3 = 140
Help me with this someone, please!
Answer:
-45 I think
Step-by-step explanation:
6 × (-7) - 3
-42 - 3
-45
Sorry if this is wrong
Need help with this question ASAP!!!!!!
Answer:
47
Step-by-step explanation:
A right triangle is 90 degrees
90-12-31=47
An architect draws a blueprint of a house using the scale 1 inch equals 6 feet. If the kitchen measures 19 12 feet by 22 12 feet, what are the dimensions of the kitchen on the blueprint?
Answer:
3.33in x3.83in
Step-by-step explanation:
Hello there pm34080075, I'm going to assume you are referring to a 19 ft 12in by 22ft 12in. If this is incorrect I will write out the steps so it should be an easy fix. The simplest thing we can do is convert all of our units to inches and then set up a ratio to find the dimensions on the blueprint.
With what we are given it should turn out to be roughly:
19ft 12in= 240in
22ft 12in= 276in
From this we can set up the simple ratio of [tex]\frac{1inch}{72in}[/tex] to find out the appropriate values This can be done by solving for x in:
[tex]\frac{1 inch}{72in}[/tex] x [tex]\frac{x}{240in}[/tex]
and
[tex]\frac{1 inch}{72in}[/tex] x [tex]\frac{x}{276in}[/tex]
After this is done we find that the dimensions on the blueprint will come out to 3.33in x3.83in
Hope this helps!
-HM
A plant was 46 centimetres tall. After a month it had grown 7% taller. How tall was the plant after a month?
Answer:
49.22 centimeters.
Step-by-step explanation:
7% of 46 is 3.22 which means you add 46 to 3.22and u get the answer 49.22
Step-by-step explanation:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:
Answer:
The tortoise can walk 0.25 feet per second.
Step-by-step explanation:
Convert inches to feet
Answer:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert
inches to feet
The correct conversion factor has the inches in the
denominator
The correct conversion factor has the feet in the
numerator
.
The tortoise can walk
0.25
feet per second.
by-step explanation:
hope this helps :)
QRS = _____
By _____
Answer:
the one you have circled is correct
Step-by-step explanation:
Answer:
The fourth answer selection is the correct
Step-by-step explanation:
Yes, the two triangles have to sides and the angle in between congruent, so by the SAS theorem, they are congruent.
Therefore select the fourth option that gives the order of vertices of the second triangle similar to the order of vertices in the first one :
Triangle YXW by SAS.
Notice that side YX is congruent to side QR,
and side RS is congruent to side SW.
i don't know the answer
Answer:
The answer is C.
Step-by-step explanation:
Willam has 24 cans of fruit and 60 cans of vegetables that he will put in bags for a food drive he wants each bag to be the same
A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles
If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
help please due at 11:00 PM please help
Answer:
60Step-by-step explanation:
Using Unitary Methodfirst pay 100 = second pay 60
first pay ( 100 / 60 ) = second pay 1
first pay ( 100 / 60 ) * 36 = second pay 36
first pay 60 = second pay 36
[ Note : ( 100 / 60 ) * 36 = 60 ]
In the function, f(x) = 6x2 – 4 , what is the value of f(-2)?
Answer:
f(-2) = 14
Step-by-step explanation:
f(-2) = 6(-2) 2 - 4
f(-2) = -12 + 2 - 4
f(-2) = -10 - 4
f(-2) = -14
C.18 of the houses are for sale How many houses are for sale?
Step-by-step explanation:
18 ..............hope it helps
A number N divided by -9 is -16
Answer: no
Step-by-step explanation:
algebraic expression for "a number , n, divided by 4 is 4. I
The box plots compare the number of students in Mr. Ishimoto’s classes and in Ms. Castillo’s classes over the last two semesters. A number line goes from 22 to 42. Mrs. Ishimoto's class's whiskers range from 28 to 40, and the box ranges from 31 to 35. A line divides the box at 33. Mr. Castillo's class's whiskers range from 24 to 38, and the box ranges from 30 to 34. A line divides the box at 31. Which statement is true about the box plots? Select three options.
Answer: B,D,E
Step-by-step explanation:
Answer:
2, 4, 5
Step-by-step explanation:
:)
(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:
Answer:
Step-by-step explanation
2x²+3x+5 roots means the zeros
So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant
b²-4ac=3²-4(3)(5)
9-60=-51
If the discriminant is < 0 means the equation have no solution
Determine the slope and y-intercept of the line represented in the table below.
Answer:
i don't know . i did this in sixth grade and i failed
Step-by-step explanation:
There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles
Answer:
4 to 7 *maybe
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!! PLEASEEE NO S P A M!!!!!
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 5 hours at 950 km/h, how long would it take at 850 km/h?
I know the answer is 5.588 but why like what are the steps to solve it?
Answer:
Step-by-step explanation:
find distance traveled: [tex]\frac{950 km}{1 hr}*{5 hrs}[/tex] = 4750 kmtotal distance / new speed: [tex]\frac{4750 km}{850 km/hr} = 5.5882 hrs[/tex]what is this graph in equation form
Answer:
A linear graph
Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;
Answer:
4.25
Step-by-step explanation:
are the triangles congruent ? if they are state how they are congruent .
Answer:
Step-by-step explanation:
Not congruent
Better to say that there is not enough information to say, "Triangles are congruent"