Answer:
(16.904 ; 30.660)
Step-by-step explanation:
Given the data :
X = 23.71,17.79,29.87,18.78,28.76
Sample size = 5
Mean = (23.71+17.79+29.87+18.78,+28.76) / 5 = 23.782
Using a calculator, sample standard deviation :
Standard deviation, s = 5.54
Tcritical at α = 0.05, df = 5 - 1 = 4
Using tables ; Tcritical value = 2.7763
Confidence interval :
Mean ± Margin of Error
Margin of Error (MOE) = Tcritical * SE
Margin of Error = Tcritical * s/sqrt (n)
MOE = 2.7763 * 5.54/Sqrt(5) = 6.878
Confidence interval : 23.782 ± 6.878
Lower boundary : 23.782 - 6.878 = 16.904
Upper boundary = 23.782 + 6.878 = 30.66
(16.904 ; 30.660)
John’s car runs an average of 30 miles per gallon. At this rate, how many gallons would John use on a 3600-mile trip?
Answer: 120 gallons
3600/30=120 can I have brainlest
Step-by-step explanation:
What is an equation of the line that passes through the points (-6, 3) and
(-6, -3)?
Answer:
x = -6
Explanation:
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answer:
10 feet
Step-by-step explanation:
Find the hypotenuse
a^2 + b^2 = c^2
6^2 + 8^2 =c^2
36+ 64 = c^2
100=c^2
(square root) 100 = 10
c=10
Write 0.026 as a fraction
Answer: 13/500
Step-by-step explanation: Its pretty easy.
Angle 5 measures 90 degrees and angle 1 measures 40 degrees fill in the other angle measures just put it the number.
Answer:
sorry for being late
1=40
2=50
3=50
4=130
5=90
Step-by-step explanation:
The figure above shows a square inscribed in a rectangle.
What is the area of the orange colored part of the figure? (Include only numbers, not words or labels, in your answer.)
Answer:
31 units ²
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8 units
Width = 5 units
Area of a rectangle = length × width
= 8 units × 5 units
= 40 units ²
Area of of the blue square = length ²
Length = 3 units
Area of of the blue square = length ²
= (3 units) ²
= 9 units ²
Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square
= 40 units ² - 9 units ²
= 31 units ²
Area of the orange colored part of the figure = 31 units ²
A right triangle has leg lengths of 3 centimeters and 4 centimeters. What is cos e where is the smallest angle of the triangle?
Answer:
First, you could assume that the 3rd side (not given) is the hypotenuse of the triangle. In that case the pythagorean theorem would give you 32+42=x2 which simplifies to 9+16=x2, which again simplifies to 25=x2 or x=5, and you would have {3,4,5} as the lengths of the sides of your triangle.
Step-by-step explanation:
The angle of the triangle when the right triangle has the leg length of 3 cm and 4 cm so it should be considered as the 5 centimeters.
Calculation of the angle of the triangle;Since
A right triangle has leg lengths of 3 centimeters and 4 centimeters.
So here the angle of the triangle should be like
[tex]= \sqrt{(3)^2 + (4)^2} \\\\= \sqrt {9 + 16}\\\\= \sqrt {25}[/tex]
= 5 centimeters
hence, The angle of the triangle should be considered as the 5 centimeters.
Learn more about angle here: https://brainly.com/question/21103473
Please help me with this math anyone I try but I don’t want to do it wrong!
Answer:
1. 10, 20, 30, 31, 32, 33, 34
2. 10, 20, 30, 31, 32, 33, 34, 35, 36
Step-by-step explanation:
Please answer will give branliest
Answer:
d
Step-by-step explanation:
Answer:
The answer is C.
Step-by-step explanation:
You can see that s corresponds with Sandra and since it's subtracting by 6 you would figure out what the equation represents that answer choice.
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height 6 m of and a radius of 5 m. The container will be made from steel (including its top and bottom). Suppose the total cost of steel will be $12,434.40. How much will the steel cost per square meter? Use for 3.14 for II, and do not round your answer.
Answer:
54
Step-by-step explanation:
Answer:
For oil container in the shape of a cylinder
radius (r) = 6 m
height (h) = 7 m
TSA of Cylinder
= 2πr ( r + h)
= 2 * 3.14 * 6 ( 6 + 7)
= 2 * 3.14 * 6 (13)
= 2 * 3.14 * 6 * 13
= 489.84 square meter
Now,
the total cost of the steel will be $18,613.92.
= 18613.92/489.84
= $38
Thus, The TSA of a cylinder is 489.84 square meter and $38 will the steel cost per square meter.
Two Step Equation's and Inequalities -8=2-4y
Solve the equation. Chec)
5m - l = 4m + 5
Answer:
m = 6
Step-by-step explanation:
5m - 1 = 4m + 5
5m - 4m = 5 + 1 = 6
m = 6
Answer:
m = 6
Step-by-step explanation:
5 x 6 = 30
30 - 1 = 29
4 x 6 = 24
24 + 5 = 29
29 = 29
No clue on how to do this
Answer:
parallelogram
Step-by-step explanation:
That's the answer....
The scale model of a cell tower is shown below
Height = 3 ft The scale used for the model is 1:60. What is the actual height of the cell tower? ?
Answer:
Step-by-step explanation:
It takes 2/5 of an hour to paint a wall. How many walls could you paint in 4 1/2 hours?
Answer:
Easy! Put away your slide ruler! Just take one painter. He takes one hour to paint 1/3 of a wall.. Boy these guys must be in the union for they are really slow.. so lets assume one painter painted all 8 walls. That is a lot of cigarette breaks, it would take him 24 hours to paint all 8 walls…. But he has 3 other buddies… yea! so 4 into 24 = 6 Hours!
Step-by-step explanation:
What is the area, in square feet, of the playground
represented by the scale drawing?
1
School
Scale
1 in. = 3 ft
Playground 4 in.
6 in.
Answer:
216 square feet
Step-by-step explanation:
Convert each measurement of the playground from inches to ft using the scale given
Scale: 1 in. = 3 ft
Length of the playground in drawing = 6 in.
Actual length = 6*3 = 18 ft
Width in drawing = 4 in.
Actual width = 4*3 = 12 ft
Area of the playground in square feet = L*W = 18*12 = 216 ft²
three times the result of subtracting a certain number from seven give the same answer as adding 11 to the number. find the number
When finding the area of a parallelogram, you should:
Can you guys help me please ASAP
What ratio is an equal ratio of 1:3?
Answer:
Any ratio that can be simplified to 1:3
Step-by-step explanation:
Any ratio would work for this answer, but the ratio would have to simplify back to 1 to 3.
Here are some examples you could use:
2:6 = 1:3
3:9 = 1:3
4:12 = 1:3
6:18 = 1:3
7:21 = 1:3
10:30 = 1:3
9. Solve for x in the parallelogram below.
D
E
16x+2
50
с
F
Oo
10
O
3
05
Answer:
3
Step-by-step explanation:
50=16x+2
50-2=16x+2-2
48=16x
48/16=16x/16
3=x
Find the area of the shaded region. Round to the nearest tenth.
Answer:
Step-by-step explanation:
r = 8.35 ft
area of circle = πr² = 69.7225π ft²
θ = 5π/9 radians
area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²
shaded region = 69.7225π - 26.51 ≅ 192.53 ft²
The area shaded region is found to be as 192.97 ft².
What is a circle?A circle is a geometric shape, all of which points are equidistant from a fixed point called as the centre.
The centre of the circle does not lie on it.
The largest line segment that can be drawn inside a circle is its diameter.
For the given circle,
Radius is given as 8.35 ft.
And, the angle subtended by minor arc is 100°.
Then, the angle formed by major arc is 360 - 100 = 260°.
Noiw, the area of shaded region is given as below,
Area of the sector for major arc + Area of triangle
⇒ 260/360 × πr² + 1/2 × r²
Plug π = 3.14 and r = 8.35 to obtain,
⇒ 13/18 × 3.14 × 8.35² + 1/2 × 8.35²
⇒ 192.97 ft²
Hence, the area of the shaded region is obtained as 192.97 ft².
To know more about circle click on,
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Classify the angle as acute, right, obtuse, or straight. Pi/2
Answer is in the file below
linkcutter.ga/gyko
π/2 is right angle.
What is right angle?The angle bounded by two lines perpendicular to each other.
Given that, π/2
π/2 radians = 90°
Hence, π/2 is right angle.
For more references on right angle, click;
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Will mark brainliest! The ratio of the angles in a triangle is 2:3:5. What are the angle measures.
Answer:
Step-by-step explanation:
The measures of the angles are 2x, 3x, and 5x.
2x + 3x + 5x = 180°
x = 18°
2x=36°, 3x=54°, 5x=90°
Each of 34 samples has a different standard deviation. How many of the 34
samples could be from the same population?
A. 33
B. 34
ОО
C. 32
D. 31
A) 33
There are always chances so you never know where the samples could be from. The answer 33 makes the most logical sense.
If a 30-inch candle constantly burns 5 inches every minute, then at the end of what minute will the entire candle disappear?
Answer:
Step-by-step explanation:
Distance and midpoint formulas
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuseAnswer:
Step-by-step explanation:
what is the slope of a line that contains the points (0, 2) and (1,5)?
Answer:
3
Step-by-step explanation:
The formula to find slope is:
y2-y1/x2-x1
So...
5 - 2 / 1 - 0
3 / 1
3
Determine the center and radius of each circle.
(x – 6)2 + y2 – 8y = 0
Answer:
Step-by-step explanation:
(x-6)² + y²-8y = 0
Put the equation into center-radius form.
complete the square
coefficient of the y term: -8
divide it in half: -4
square it: (-4)² = 4²
add 4² to both sides to complete the square and keep the equation balanced:
(x-6)² + (y²-8y+4²) = 4²
(x-6)² + ( y-4)² = 4²
center (6,4)
radius 4
There are 367 paper and 728 books how many paper and books together
1095
Step-by-step explanation:
367 + 728 = 1095 so the answer is 1,095