Answer:
Step-by-step explanation:
The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC
Given
AO = 4x + 12 and
OC = 5x – 6
Required
AC
AC = 4x+12 + 5x-6
AC = 4x+5x+12-6
AC = 9x+6
Hence the length of AC is 9x+6
PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.
Which statement best describes the effect of the confounding variable?
Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
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.
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:
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The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles
Answer:
The correct answer is: Option D: 26 vehicles
Step-by-step explanation:
Median is the middle value of a sorted data set.
The formula for median depends on the number of values in the dataset.
First of all we have to arrange the given data in order
So,
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
Counting the values in the dataset
n = 20
As the number of values is even, the formula for median will be
[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]
Putting the values
[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]
The 10th value in dataset is 26 and 11th is also 26 so
[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]
Hence,
The correct answer is: Option D: 26 vehicles
pls help me with the question?
Answer:
17 I'm pretty sure.
Step-by-step explanation:
The speed limit is 35 mph
Which equation represents the statement?
[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]
Answer:
[tex] b.~~s \le 35 [/tex]
Step-by-step explanation:
The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.
Answer:
[tex] s \le 35 [/tex]
What are the solutions to the following system?
-2x²+y=-5
y=-3x2+
Answer:
Simplifying
y = -0.4 + 0.6x
Step-by-step explanation:
Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)
A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)
Answer:
1. 78%
2. 16
Step-by-step explanation:
35 + 10 = 45
Danny got 35/45 answers correct.
Divide 35 into 45
35 ÷ 45 = .777777778
.777777778 ≈ .78
To convert a decimal to a percentage, move the decimal point two spaces behind.
.78 = 78%
Danny got 78% of the answers correct.
80% = .8 = [tex]\frac{8}{10}[/tex]
Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer
[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]
Simplify
[tex]\frac{160}{10}[/tex] = 16
A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?
Answer: Lost 44%, Games won: 28/50
Step-by-step explanation:
Percentage = (part / whole) * 100
The total number of games the team played is 28 + 22, which equals 50.
Percentage of losses = (22/50) * 100 = 44%
Fraction of wins = 28/50
which expression is equivalent to the given expression. pls help :)
Answer:
B
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}[/tex]
[tex]\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n[/tex]
At a garage, 820 cars were given a safety test. if 75% of them passed the safety test, how many cars were rejected?
Answer:
205 cars were rejected
Step-by-step explanation:
x 75
____ ____
820 100
cross multiply
100x=61500
simplify
x=615
820-615
anwer:205
hope it helps!
which statement and reason are missing in the proof? A=A; reflexive
Answer:
a i guess there isnt a queston here
Step-by-step explanation:
Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)
Step-by-step explanation: i just completed the unit practice test and got 100%
Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , how tall would the stack be ?
Answer:
26 1/4
Step-by-step explanation:
1 3/4*15=26 1/4
If Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , then 105/4 is the tallness of the stack.
What is Multiplication?multiplication is a method of finding the product of two or more numbers.
Given,
Davis has 15 quarters
Each quarter is [tex]1\frac{3}{4}[/tex] mm thick.
We need to find the height, If Davis stacked up all 15 quarters on top of each other
This can be achieved by adding [tex]1\frac{3}{4}[/tex] for fifteen times or we can use multiplication.
We have to multiply 15 with [tex]1\frac{3}{4}[/tex] .
Firstly [tex]1\frac{3}{4}[/tex] is converted to improper fraction.
[tex]1\frac{3}{4}[/tex] =7/4
Now 7/4×15
=105/4mm
Hence 105/ 4 is the tallness of stack.
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What does acosd mean?
Answer:
Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].
Step-by-step explanation:
Help please
1/4 (8x + 12y +16z)
Answer:
8+12+164
Step-by-step explanation:
I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?
Answer:
360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am
please help. image below
What is the mode for the set of data? 6,7,10,12,12,13
10
12
13
11
help in dying please
Answer:
hello! :) i hope your having a wonderful day :)
Step-by-step explanation:
Pine trees and juniper trees are common to the San Bernardino
mountains. Pine trees have a mean height of 52 meters with a
standard deviation of 3 meters. Juniper trees have a mean
height of 22 meters with a standard deviation of 5 meters.
(a) At the base of a trail, there is a 48-meter-tall pine tree and a
33-meter-tall juniper tree. Calculate the Z-score for each of
these trees.
If necessary, round your answers to the nearest 2 decimal
places. Write both answers in the text box below.
Answer:
Z-score = 0.9450
Step-by-step explanation:
Step(i):-
mean height of pine tree (x₁⁻) = 52
standard deviation of pine tree σ₁ = 3
Mean height of Jupiter tree ((x₂⁻) = 22
standard deviation of Jupiter tree σ₂ = 5
Size of first sample n₁ = 48
size of second sample n₂ = 33
Step(ii):-
Z-score
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]
[tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]
Z = 0.9450
Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =
Answer:
2 x (5 x 6)
Step-by-step explanation:
When you switch the order around this way it comes out the same
5 x (2 x 6) -> 5 x (12) -> 60
2 x (5 x 6) -> 2 x (30)-> 60
What implications can you draw based on the coefficient of variation from these two data sets?
Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:
Weight Height
Mean 160 pounds 66 inches
SD 30 pounds 4 inches
You cannot compare these two data sets using a coefficient of variation because they are in different units
A. That both sets of data are equally variable.
B. That the weight data is more variable than the height data.
C. That the height data is more variable than the weight data.
Answer:
B. That the weight data is more variable than the height data.
Step-by-step explanation:
Given that :
_________ Weight _____ Height
Mean ___ 160 pounds ___ 66 inches
SD _____ 30 pounds ____ 4 inches
The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.
Weight in pounds :
Standard deviation in pounds / mean in pounds
30 / 160 = 0.1875
Height in inches :
Standard deviation in inches / mean in inches
4 / 66 = 0.060
0.1875 > 0.060
Hence, weight data is more variable than height data.
(GIVING BRAINLIEST!!)
Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.
Answer:
when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float
Step-by-step explanation:
−5 −4 −3 −2 −1
0
1
2
3 4
5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
3 + 5 = 8
If you are adding two negative integers, the sum will be negative.
-3 + (-5) = -8
If you are adding a negative integer and a positive integer, find the difference of the
absolute values. The sum will have the sign of the addend with the greater absolute value.
-3 + 5 = 2
-3 6
5 , so the sum is positive.
Paula dives into a swimming pool from a diving board 2 feet above the
water’s surface. She descends to a depth 7 feet below the diving board.
How far is Paula from the surface of the water?
1. What integer represents Paula’s starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula’s distance below
the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
height above the water. Draw an arrow to represent Paula’s dive
into the water. Where does your arrow end?
Answer: /21/7/3
Step-by-step explanation:
Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss
The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us
Answer:
the answer is c
Step-by-step explanation:
because all the other ones are wrong besides d and c and I did the math and it was c
Answer:the answer is d
Step-by-step explanation:
extra poing again happy thanks giving
Answer:
Thanks for points :)
Step-by-step explanation:
I like ice cream :D
Answer:
TY!! :)
have a great day!
Step-by-step explanation:
Write the constant term in 5a3b + 2ab2 + 3.
Answer:
the answer will be this
A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?
The opposite is .
the answer is 6
your welcome!
lol
Answer:
6
Step-by-step explanation:
(●'◡'●)
Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months
Answer:
Answer is wrong
Step-by-step explanation:
Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.
In fact, most of the answers for this portion are wrong on here.
10. $1,201.33
11. $629.23
12. $7.74
13. $347.51
14. $3,753.78
15. 6
16. $25.24
17. $416.70
18. $2,903.67
19. $22.96
g(n) = n + 2; Find g(6)
Answer:
g(6)=8
Step-by-step explanation
they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2
g(6)=8
Solve for x in this equation: 3/4 + l 5-x| = 13/4
There are multiple other questions as well