Answer:
A)CI 90 % = [ 7,2103 ; 8,7297]
B) s = √ ∑(xi - xp)²/n-1
c) z is the score for the given significance level in this case is 1,64
Step-by-step explanation:
For a confidence Interval of 90%, the significance level is α = 10 %
α = 0,1 α/2 = 0,05 and from z-table we find z(c) for 0,05 z(c) = 1,64
CI 90 % = [ x ± z(c) * s/√n ]
CI 90 % = [ 7,97 ± 1,64 * 2.62/√32]
CI 90 % = [ 7,97 ± 0,7597]
CI 90 % = [ 7,2103 ; 8,7297]
B) To calculate the standard deviation of the sample the equation is:
s = √ ∑(xi - xp)²/n-1
xi - xp is the difference between each one of the elements of the sample
xp is the mean or average of the elements of the sample and n is the sample size
tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Which statements are true about a histogram with one-minute increments representing the data? Select three options.
A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.
The histogram will have a shape that is left-skewed.
The histogram will show that the mean time is greater than the median time of 7.4 minutes.
The shape of the histogram can be approximated with a normal curve.
The histogram will show that most of the data is centered between 6 minutes and 9 minutes.
Answer:
A, D, E
Step-by-step explanation:
GOT IT RIGHT ON EDGE
The true statement about the histogram are
(a) the median and the mean are approximately equal(d) the histogram would have an approximately normal curve(e) there are more data elements between 6 and 9.How to interpret the histogram?The dataset is given as:
5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5
Using a statistical calculator, we have the following summary:
Mean = 7.43
Median = 7.5
Notice that the median and the mean are approximately equal
i.e. 7.43 ≈ 7.5
When the mean and the median are equal, the histogram would have an approximately normal curve
Also, when the dataset is sorted, we have:
5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10
Notice that there are more data elements between 6 and 9.
Hence, the true statement about the histogram are (a), (d) and (e)
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This pattern repeats every 4 terms. The pattern is square, hexagon, pentagon, triangle. What is the shape in the 13th term of this pattern? sorry if it looks weird i dont know why it does
Answer:
the answer is square
Can somebody help me out my grade are bad
Answer:
N-3
Step-by-step explanation:
Can someone Simplify this.
(2a+5)^2
Answer:
[tex]4a^{2} + 20a+25[/tex]
Step-by-step explanation:
[tex]( 2a+ 5 ) ( 2a + 5 )[/tex]
[tex]2 a ( 2 a + 5 ) + 5 ( 2 a + 5 )[/tex]
[tex]4 a^{2} + 1 0 a + 5 ( 2 a + 5 )[/tex]
[tex]4a^{2} + 1 0 a + 1 0 a + 2 5[/tex]
[tex]4a^{2} + 20a+25[/tex]
Answer:
[tex]4a^{2}[/tex]+20a+25
Step-by-step explanation:
GIVING BRAINLIEST, EASY 7TH GRADE MATH PROBLEM.
Answer:
Step-by-step explanation:
c
Find AB round to nearest tenth
Answer:
Step-by-step explanation:
take 55 degree as reference angle
using sin rule
sin 55=opposite/hypotenuse
0.81=AB/14
14*0.81=AB
11.34=AB
11.3=AB
Answer:
9.8
Step-by-step explanation:
I think so, probably
Selecciona la alternativa donde NO se ocupan números enteros
a) Recorrido de un ascensor.
b) La temperatura ambiental.
c) La talla de zapatos.
Answer:
Selecciona la alternativa donde NO se ocupan números enteros
a) Recorrido de un ascensor.
b) La temperatura ambiental.
c) La talla de zapatos
What was the function of the polis as it developed in Greek civilization?
Answer: "A city-state, or polis, was the community structure of ancient Greece. Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings."
"The polis was a structure of community amongst the ancient Greek world and it controlled a surrounding territory of land. An individual polis was independent from the other poleis in regards to legal, religious, social, political and judicial institutions and practices."
Answer:
~The function of the polis as it developed in Greek civilization is it was designed for areas such as private, public, religious functions and buildings. It was often used in the Iron age development for public buildings. Hoped that helped.~
Step-by-step explanation:
The circle is divided into 3600 equal parts. Point O represents the center of the circle. The measure of angle
Answer:
0.1°
Step-by-step explanation:
Okay so, a circle is 360° and the circle is divided into 3600 parts. So, to find the measurement of one of those angles, we would do 360°/3600= 0.1°.
A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answer:
2 one is the right one
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have no more
than $110 to spend on parking and admission. Parking is $19.25, and tickets
cost $30.25 per person, including tax. Write and solve an inequality which
can be used to determine x, the number of people who can go to the
amusement park.
Answer:
if the number of the friends is x...
19.25+30.25x ≤ 110
x ≤ 3
Matching the Transformed Function to its Graph
Use your knowledge of transformations to find the matching graph.
f(x) = 2 sqrt x + 1
Answer:
D
Step-by-step explanation:
Used graphing calculator. Correct on edge.
By transformations, the resultant graph will be option D.
What is called Dilation?Dilation is a non-rigid transformation that stretch the graph vertically.If F(x) = k.f(x), then the graph will stretch vertically by k units.What is translation?Translation is a rigid transformation that shift the graph upwards or downwards.If F(x)=f(x)+k, then the graph shift upwards k units.If F(x)=f(x)-k, then the graph shift downwards k units.Hence, the resultant graph of
[tex]f(x) = 2 \sqrt{x } + 1[/tex]will be option D.
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The diameter of a circle is 50.267 feet. Find the circumference of the circle and use 3.14 for π. Round your answer to the nearest whole number.
The circumference is
feet.
Answer:
C=2πr=2·π·25.13≈157.9153
Step-by-step explanation:
8. Let U= {x:x e P and x< 12} be the
universal set and A = {1, 3, 5, 6, 7},
B= {4, 6, 7,9}.
Find: i) A' ii) B' iii) An B'
Answer:
b is a answer I think so hmmm
I NEED HELP ASAP
The volume of a cylinder is 14,130 ft 3 . If the diameter is 30 feet, calculate the height of the cylinder
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.
The height of the cylinder is given by h = 20 feet
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the height of the cylinder be h
Now , the volume of the cylinder V = 14,130 feet³
The diameter of the cylinder d = 30 feet
So , the radius of the cylinder r = d/2 = 15 feet
And , Volume of Cylinder = πr²h
On simplifying , we get
14,130 = π( 15 )²h
Divide by 225 on both sides , we get
πh = 62.8
Divide by π on both sides , we get
h = 62.8 / 3.14
h = 20 feet
Therefore , the value of h is 20 feet
Hence , the height of the cylinder is 20 feet
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Which net represents this box?
Answer:
image
Step-by-step explanation:
36x+27y in factored form
(x+3)^2=43
When taking the square root of both sides of this equation, how many solution will the equation have?
Factor the expression
9x - 36
Answer: 9(x−4)
Step-by-step explanation: Hope this help :D
Given the isosceles trapezoid, find the value of x
Answer:
x = 11
Step-by-step explanation:
The lower base angles are congruent, so
4x + 41 = 85 ( subtract 41 from both sides )
4x = 44 ( divide both sides by 4 )
x = 11
simply 1/2 square root of 32
please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer
Answer:
Do 15^2 +10^2=c^2 than put answer Into \sqrt()
Step-by-step explanation:
Step-by-step explanation:
Ok, so the pythagorean theorem is a^2 + b^2 = c^
where c is the hypotenuse and b and a are the the other 2 sides
9) 10^2 + b^2 = 15^2
100 + b = 225
-100 -100
b^2 = 125
sqrt of 125 = 5
b = 5
10) 2^2 + 5^2 = C^2
4 + 25 = c^2
sqrt of 29 = c
c = [tex]\sqrt{29\\}[/tex]
11) 42^2 + a^2 = 48^2
1764 + a^2 =2304
-1764 -1764
a^2 = 540
a = [tex]6\sqrt{15}[/tex]
I NEED HELP ASAP THIS IS DUE IN 10 MIN HELP MEE
Answer:
Step-by-step explanation:
i cant see it. its not letting me zoom in ill help you but i cant see it
Answer:
8, 8
Step-by-step explanation:
it would be 8, 8 because all the way in the upper right hand corner would be where the x and y axis meet and equal 8, 8
Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per
pair. If she spends $25.74 before taxes, how many pairs of socks does Anika buy?
Answer:
The answer is 4 pairs of socks
Step-by-step explanation:
So basically long story short, this is a simple division and multiplication problem.
Match each expression in List A with an equivalent expression from List B.
Answer:
B——1
C——3
The answer u got in A and D r correct
Step-by-step explanation:
B=5x+10y-20y+5x=10x-10y=10(x-y)—- 1
C——3
Find the angle of x please
Answer:
i believe the answer is x= 85
The length of a rectangle is represented by (2x2 - 5x + 5) cm and the width is represented by (x2 + 4x - 3)cm. What is the representation of the perimeter?
Answer:
its A
Step-by-step explanation: i guessed
Which is an expression for 175 without a perfect square factor in the radicand?
The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?
Please help!
Answer:
srry its 31 and 10
Step-by-step explanation:
the numbers are 20 and 21
Hope I helped! :)
If 5 inches represent 12 miles, how many inches represent 108 miles?