Answers
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
Related Questions
The following sample data are from a normal population: 10, 8, 12, 15, 13, 11, 6, 5. (a) What is the point estimate of the population mean? 8.75 Incorrect: Your answer is incorrect. (b) What is the point estimate of the population standard deviation? (Round your answer to three decimal places.) (c) With 95% confidence, what is the margin of error for the estimation of the population mean? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the population mean? (Round your answer to one decimal place.) to
Answers
Answer:
10 ; 3.464 ; 2.4 ; (7.6, 12.4)
Step-by-step explanation:
Given the data :
10, 8, 12, 15, 13, 11, 6, 5
Point estimate of population mean :
m = ΣX / n
n = sample size = 8
(10+8+12+15+13+11+6+5) / 8
= 10
Point estimate of population standard deviation :
Sqrt(Σ(X - m)^2 / n-1)
((10-10)^2 + (8-10)^2 + (12-10)^2 + (15-10)^2 + (13 - 10)^2 + (11-10)^2 + (6-10)^2 + (5-10)^2) / 7
= sqrt(84/7)
= 3.464
Margin of error at 95%:
Zcritical * sqrt(sd²/n)
Zcritical at 95% = 1.96
1.96 * sqrt(3.464^2 / 8)
Margin of Error = 2.4
Confidence interval :
m ± Z(s/sqrt(n))
10 - 1.96(3.4634/sqrt(8)) = 7.6
10 - 1.96(3.4634/sqrt(8)) = 12.4
A cliff diver jumps from a height of 58 feet with an initial velocity of 4 feet per second.
Answers
Answer:
The answer is 6 seconds
The width of a rectangle is 7 inches less than the length. The perimeter is 62 inches. Find the length and the width.
Answers
Answer: Perimeter = 2(L) + 2(W) Length = 7W - 2 Perimeter = 60 60 = 14W - 4 + 2(W) 60 =16W - 4 64 = 16W Width = 4 Length = 7(4) - 2 Length = 26
I hope this helped!
Step-by-step explanation:
Determine which choice best shows the distributive property of multiplication.
Question 2 options:
1 × 6 = 6
6 × 9 = 9 × 6
6 × (9 + 8) = (6 × 9) + (6 × 8)
6 × (9 × 8) = (6 × 9) × 8
Answers
Answer:
c) 6× (9+8) = (6 × 9) + (6× 8)
Step-by-step explanation:
Distributive property of multiplication
The distributive property of multiplication
a(b+c) = a b + a c
(a+b)c = ac + bc
6× (9+8) = (6× 9) + (6×8)
Which expressions are solutions to the equation 3/4x=15
Answers
Answer:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
3/4x=15 you flip 3/4 to 4/3 and cancel it out on one side leaving x by itself then you multiply 4/3 by 15 and you get 60/3 and that equals 20 x=20
I need help
are all intergers a closed or open whoel number when subtracting or adding them together
Answers
Answer:
Integers are always closed under subtraction, addition and multiplication, not division though. Hope this helped! :D
Step-by-step explanation:
If the data below were represented by a comparative bar chart, the bar
representing which of these would be the tallest?
A. Left-handed girls
B. Right-handed boys
C. Right-handed girls
D. Left-handed boys
Answers
Answer:
b right handed boys
Step-by-step explanation:
Question need help very hard pls
Answers
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
55 degrees
Step-by-step explanation:
Find the vertex of the parabola defined by the following equation. 3x^2-12x+11
Answers
Answer:
y= 3(x-2)^2-1
Step-by-step explanation:
Evaluation 6ab when a = 1/2 and b = 7
Answers
Answer:
21
Step-by-step explanation:
6x1/2x7
6 x 1/2=3, 3 x 7=21
I hope this helps and have a nice day!
Explain whether the following statement is true or false. The function notation f-1(x) means 1/f(x)
Answers
Answer:
True
Step-by-step explanation:
f-1(x) otherwise known as the inverse of f(x) is the mathematical equivalent as 1/f(x).
Being inverse simply means that it "reverses" the operation that was applied to it with the original function .
For example: suppose f(x) = x+1, then if x = 1, f(1) = 1+1 =2
Now if we do f-1(x) or 1/f(x), then 1/f(1) = 1/1 +1 = 1/2
So, 2/1 is in fact the inverse of 1/2.
Hence, f-1(x) is the same as 1/f(x)
The Picture has the answers and the question.
Answers
Answer:
B
Step-by-step explanation:
Which of the following can a seismograph not show scientists?
Answers
10. Find the rate of change in the table below.
Show all work.
х
18
20
22
24
y
4.5
5
5.5
6
Answers
Answer:
it's times 4 every time
Step-by-step explanation:
4.5 times 4 is 18 etc
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answers
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
Learn more about Speed and Slope here :
https://brainly.com/question/13281781
#SPJ2
The complete question with the graph is given below.
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
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1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket
a coach on a motorway is travelling at a constant speed . in ten minutes it travels 16 kilometer
work out its travells
20 minutes
please answer
30 minutes
50 minutes
1 hour
Answers
Step-by-step explanation:
10 minutes= 16km
20 minutes= 16x2 = 32km
30 minutes= 16x3 = 48km
50 minutes= 16x5 = 80km
60 minutes = 16x6 = 96km
I hope this helps, have a great day! :) -wilzW
Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answers
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
Factor the common expression: 2x + 4 =
Answers
Answer:
2(x+2)
Step-by-step explanation:
Hope it helps you
Please help me I’m not good with graphs
Answers
Answer:
I'm pretty sure it's 2 and 3
Good luck:)
Please help don’t understand
Answers
Answer:
first you choose one of the varibles to solve for so im going to start with s you would add them up and subtract them that way there on the other side of the = sighs so you equation would be 8+2d+3=-7s then you add the 8 and the 3 and you would get 11+2d=-7s i dont know what you do after this i think this is the answer.
Answer:
the other guy is right trust him
What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?
Answers
Answer:
symmetryStep-by-step explanation:
is the line that divides the parabola into two mirror imagesAnswer:
line of symmetry
Step-by-step explanation:
Jane has 6 more than twice the number of pairs of shoes that Mary has.
Write an expression for this. Use s as your variable for the shoes.
Answers
Answer:
im not sure
Step-by-step explanation:
What is the Percentage of 23000
Answers
Answer:
2300000%
Step-by-step explanation:
0.01 = 1%
1 = 100%
23000 X 100 = 2300000%
Hope It Helps
Simplify the expression.
- 2.6f +0.2f - 15 - 3
i need help with this, anyone?
Answers
Answer: -2.4f-18
Step-by-step explanation:
Add 0.2f to -2.6f then subtract 3 from -15
Xei uses a tip calculator to figure his tips, but he thinks it is not working accurately. The tip calculator says that a $7 tip is necessary for a $75 meal at a 15% tip rate. Is the calculator working correctly? How do you know?
Answers
Answer:
a $7 tip is too little
Step-by-step explanation:
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answers
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
solve the equation
PLZ I need a good grade
Answers
answer:
p = 6
1. pull out like factors
7p - 42 = 7 • (p - 6)
2. solve it
7=0
this equation can't be solved, therefore has no solution.
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answers
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds
