Note: Figure is not drawn to scale.
If x = 6 units, y = 7 units, and h = 8 units, find the area of the trapezoid shown above using decomposition.
A.
76 square units
B.
48 square units
C.
160 square units
D.
104 square units
Answers
Answer:
D) 104 square units
Step-by-step explanation:
Two triangles: 2x1/2x6x8=48
Rectangle: 7x8=56
48+56=104
Related Questions
Dole Pineapple Inc. is concerned that the 16-ounce can of sliced pineapple is being overfilled. Assume the standard deviation of the process is .03 ounce. The quality-control department took a random sample of 50 cans and found that the arithmetic mean weight was 16.05 ounces. At the 5% level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value.
Answers
Answer:
The calculated value Z = 11.792 >1.96 at a 0.05 level of significance.
The null hypothesis is rejected
The alternative hypothesis is accepted at a 0.05 level of significance.
The mean weight is less than 16 ounces
Step-by-step explanation:
Step:-1
Given that the mean of the Population = 16
Given that the standard deviation of the process
σ = 0.03 ounce
Given that the mean of the sample = 16.05 ounces
Null hypothesis: H₀:μ > 16 ounces
Alternative HypothesisH₁: μ <16 ounces
Step:-2
Test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{16.05 -16}{\frac{0.03}{\sqrt{50} } }[/tex]
Z = 11.792
Level of significance = 0.05
Z₀.₀₅ = 1.96
Final answer:-
The calculated value Z = 11.792 >1.96 at a 0.05 level of significance.
The null hypothesis is rejected
The alternative hypothesis is accepted at a 0.05 level of significance.
The mean weight is less than 16 ounces
What is the area of a circle that has the diameter of 4?
Answers
Answer:
Hello! answer: 12.56
Step-by-step explanation:
Area for circles is found be doing
radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4
4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!
Which expressions are equivalent to 3g+6(-g+(-5))3g+6(−g+(−5))3, g, plus, 6, left parenthesis, minus, g, plus, left parenthesis, minus, 5, right parenthesis, right parenthesis ? Choose all answers that apply: Choose all answers that apply: (Choice A) A 9g+309g+309, g, plus, 30 (Choice B) B -3g-5−3g−5minus, 3, g, minus, 5 (Choice C) C None of the above
Answers
Answer:
none of the above
Step-by-step explanation:
hope this helped:)
The correct option is None of the above.
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation
Given:
3g+6(-g+(-5))3g+6(−g+(−5))3
=3g -18g² -90g -18g -90
= -18g² -105 g -90
Hence, none of the above satisfies the expression.
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Helppppp meeeee. Plzzzzz it’s due in 5 minutes and is half my grade:(((((((((;(((((((
Answers
Answer:
5 millimeters
Step-by-step explanation:
the conversion rate from cm to mm is 1 to 10 so 0.5 would equal to 5 mil
it would be amazing if you marked this brainliest :)
Rafael divides a spinner into sections and labels it with numbers. He then spins the spinner 120 times. The spinner lands on 3 a total of 30 times. Based on this data, what is the probability of getting a 3 on the next spin of the spinner? State your answer as a percent
Answers
the possibility of getting three on the next spin is a 6 out of 10 chance
Which statement best describes which measure should be used to describe the center of the data?
Answers
Answer:
there is no picture to go along with the question
Consider the piecewise function. f (x) = StartLayout Enlarged left-brace first row 2 x, x less-than 1 second row negative 4, x = 1 third row x + 8, x greater-than 1 EndLayout The function has a discontinuity at x = 1. What are Limit of f (x) as x approaches 1 minus and Limit of f (x) as x approaches 1 plus? Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus. Limit of f (x) = 9 as x approaches 1 minus. Limit of f (x) = 2 as x approaches 1 plus. Limit of f (x) = negative 4 as x approaches 1 minus. Limit of f (x) = negative 4 as x approaches 1 plus. Limit of f (x) D N E as x approaches 1 minus. Limit of f (x) D N E as x approaches 1 plus.
Answers
Answer:
A) 2 9
Step-by-step explanation:
got it right on edge :) good luck!
Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus.
The correct option is (A)
What is piecewise function?Piecewise function is a function built from pieces of different functions over different intervals.
The given function is: f(x)= [tex]\left \{ {{2x, \;\; x < 1} \atop {-4, \;\; x=1} \right \atop {x+8, \;\; x > 1}[/tex]
As, piecewise function is a function built from pieces of different functions over different intervals.
As per the above discussion we can say that,
Take function for limit 1 minus, as f(x) = 2x
put x=1,
f(x)=2, exits.
Take function for limit 1 plus, as f(x) = x+8
put x=1,
f(x)=9, exits.
As both satisfies the definition and part (A)
As well as both limit exist and are not equal.
So, Limit of f (x) = 2 as x approaches 1 minus. Limit of f (x) = 9 as x approaches 1 plus for the given f(x).
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ANSWER ASAP
The entrance to a museum is Paris is shaped like a square pyramid. The
area of the base of the pyramid is 1,227 square meters, and the height is
21 meters.
Which measurement is closest to the volume of the pyramid in cubic
meters?
Answers
Answer:
8589 cubic meters
multiply base times height then divide by 3
what is the name of this triangle
Answers
Answer:
right triangle
Step-by-step explanation:has a right angle
I need help asap plz
For the first too am I correct and i need help for the last one plz
Answers
Answer:
3.4 seconds
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The difference of the range and the interquartile range of the data set represented by the box plot is
.
Answers
Answer:
the answer is 10
Step-by-step explanation:
The difference between the range and the IQR of the data set represented by the box plot is 10.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
The range of a dataset is calculated as the difference between the maximum and minimum values in the dataset.
In this case, the range is:
Range = highest value - lowest value = 34 - 16 = 18
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). In this case, the IQR is:
IQR = Q3 - Q1 = 29 - 21 = 8
So the difference between the range and the IQR is:
Range - IQR = 18 - 8 = 10
Therefore,
The difference between the range and the IQR of the data set represented by the box plot is 10.
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What’s the answer (no link I give brainly)
Answers
Answer:
The graph that best represents the slope is Graph A.
Hope this helps!!
The rectangle is 9 feet long and 8 feet wide. What is the area of this rectangle? asap
Answers
Answer:
72 ft squared
Step-by-step explanation:
area = width times height
The cost of 2 pounds of coffee is $17.95. To the nearest dollar, what is the cost of 5 pounds of coffee?
Answers
Answer:
89.75
Step-by-step explanation:
Sorry if its wrong!
You have a 12 V battery, a resistor R1 = 120, and another component that
requires a current of 2.0 A and a voltage drop of 6.0 V. What value of resistor
would you connect in parallel with R1, with both resistors in series with the other
component, to produce the required current and voltage drop?
Answers
answer is 123.32
Step-by-step explanation:
Describe how to write a decimal with 12 repeating digits as a fraction.
Answers
Answer: Here are the basic steps as to write any decimal with any amount of repeating digits as a fraction!
1. Create an equation such that x equals the decimal number.
2. Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
3. Subtract the second equation from the first equation.
4. Solve for x.
5. Reduce the fraction.
Let's use the repeating decimal 0.6... with the digit 6 repeating as our example.
Hint: The six's in bold are repeating.
x = 0.6
10x = 6.6
10x - x = 6.6 - 0.6
9x = 6
x = 6/9 or 2/3
F(-4)=
F(-2)=
F(-1)=
Answers
Answer:
Step-by-step explanation:
The distance from one point on the circle to another that passes through the circle is called a:
Answers
Answer: i think diameter, because the line passes through the center of the circle.
Step-by-step explanation: have a great day!! :)
i) It takes the climber 800 seconds to climb to the top of the cliff.
During this time the energy transferred to the climber equals the work done by
the climber.
Calculate the power of the climber during the climb.
Power =
W
(Total 5 mar
Page 6 of 6
Answers
Answer:
gracias por lo 20 puntos
Step-by-step explanation:
Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?
Answers
Answer:
I believe this could happen 27 different ways.
Step-by-step explanation:
I need help quickly. What's the answer? Best answer gets Brainliest.
Answers
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
The Answer Is C
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
1.2 m
2.5 m
K 사
3.5 m
The front of a house needs to be painted black. The garage door is 1.5 m high and 2 m wide.
A) How many square meters of black paint will be nee not to paint the house not including the
garage door?
Show your work
B) if one gallon of paint covers 0.5 square meters, how many gallons of black paint will they need to paint the house
Answers
Answer: A:16 square meters.
Step-by-step explanation:
Multiplecation and subtraction
B: 16 divided by 0.5= 32, so its 32 gallons
Hope it helps!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer: the answer is 1/6
Step-by-step explanation:
Hope this helps :D
sry if it’s wrong
Answer: B 1/6
Step-by-step explanation:
One out of the six is shade this meaning it is 1/6
The lengths of the legs of a right triangle are 4 cm and 6 cm. If the triangle is rotated about one of its legs to create a right
circular cone, find the volume of the cone of greatest volume. Round to the nearest tenth. Show your work (4 points)
Answers
Volume of a cone is V=1/3*pi*r^2*h
V=1/3*pi*6^2*4
=1/3*pi*36*4
=pi*48
=150.8 cm^3
To make sure that is the greatest volume we can figure the other cone.
If you rotate around the leg of length 6 your radius will be 4 and your height will be 6.
V=1/3*pi*4^2*6
V=100.5 cm^3
Avery is making bracelets. Each bracelet requires 8.25 inches of yarn. If Avery has 57.75 inches of yarn, how many bracelets can she make?
Answers
Answer:
She can make 7 bracelets.
Step-by-step explanation:
All you have to do is divide 57.75 and 8.25 and you will get 7
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A coin is tossed 1,000 times. There are two options:_______.
(i) To win $1 if the number of heads is between 490 and 510.
(ii) To win $1 is the number of heads is between 590 and 610.
Which option is better? Or are they the same? Explain.
Answers
Answer:
between 590 and 610
Step-by-step explanation:
when a coin is tossed twice =36
so 100 times is = 600
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a
sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.25
• B. 0.15
•
C. 0.33
•
D. 0.05
Answers
Answer: Hope This Helps!
Step-by-step explanation:
Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option A is the correct choice.
The probability that a student is a senior is equal to 0.20.
We have given that,
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student IS a senior and plays a sport is 0.05.
What is the probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25, and option A is the correct choice.
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The graphs of three functions are shown below. Which statements accurately compare the different functions? Check all that apply. The quadratic and absolute value functions share a y-intercept. The square root and quadratic function share an x-intercept. The absolute value and square root functions share the same domain. The square root function does not have a y-intercept. The square root function has a minimum domain value, while the other two functions have a minimum range value.
Answers
The functions are given below.
Parabolic function y = -(x + 1)² + 9Mode function y = - |x + 2| + 10Logarithmic function y = 1.5 log(x - 1)What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graphs of the three functions are shown below.
The parabolic function is given as
y = -(x + 1)² + 9
The mode function is given as
y = - |x + 2| + 10
And the logarithm function will be
y = 1.5 log(x - 1)
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Answer: A, B, D
Step-by-step explanation:
Just took the instruction. Edge 2023
Among of the following, which has both length and width A.point B.Line C.Plane D.Set
Answers
Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
Answers
Answer:
A: 7.5
Step-by-step explanation:
I put it in my calculator