The mean of the sample is x-bar is determined to be 59.2 and population standard deviation, σ, is known to be 3.8. The 90% confidence interval about μ if the sample size, n, is 45 be 58.27< μ<60.13
A simple random sample of size n is drawn from a population whose population standard deviation, σ, is known to be 3.8. The sample mean, x-bar, is determined to be 59.2.
Hence,
n=45
σ=3.8
x-bar=59.2
The z value for the 90% confidence interval is z=1.645.
Then, μ=(x-bar)±(z×σ/[tex]\sqrt{n}[/tex])
μ=59.2±(1.645×3.8/[tex]\sqrt{45}[/tex])
μ=59.2±0.9318
59.2-0.9318<μ<59.2+0.9318
58.27< μ<60.13
Therefore, The 90% confidence interval about μ if the sample size, n, is 45 be 58.27< μ<60.13
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Which of the following could be the side measures of a right triangle? *
1)6 ft, 5 ft, 4 ft
2)8 ft, 7 ft, 6 ft
3)10 ft, 8 ft, 6 ft
4)12 ft, 10 ft, 8 ft
Answer:
option 1
Step-by-step explanation:
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The set of side lengths that could represent a right triangle is
12 ft, 10 ft, and 8 ft.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).
Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:
6 ft, 5 ft, 4 ft
6² + 5² = 36 + 25 = 61
4² = 16
Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.
8 ft, 7 ft, 6 ft
8^2 + 7^2 = 64 + 49 = 113
6^2 = 36
Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.
10 ft, 8 ft, 6 ft
10^2 + 8^2 = 100 + 64 = 164
6^2 = 36
Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.
12 ft, 10 ft, 8 ft
12^2 + 10^2 = 144 + 100 = 244
8^2 = 64
Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.
Therefore,
The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.
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say something so mean to me idc just say whats on your mind broskis
Answer:
Can grape juice be made into grapes?
Your so UGLY you turned medusa into stone.
Step-by-step explanation:
I said what was on my mind
PLEASE PLEASE HELP ME!!!
Answer:
majadoxkdkdkrjjdkaoxjxjdhuriqwlsnxbxjdiirkekrnrnrjhfuxueiejhrhdJim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below: A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. What is the maximum length of the seesaw? (6 points) Group of answer choices 1.4 meters 2 meters
The sine rule is the ratio of perpendicular to the hypotenuse, then the maximum length of the seesaw will be 2 meters.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Jim is designing a seesaw for a children's park.
The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter.
Then the maximum length of the seesaw will be
We know that the sine rule is given as
[tex]L = \dfrac{1 }{ \sin 30} \\\\ L = \dfrac{1}{1/2} \\\\L = 2[/tex]
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Answer:
2 meters
Step-by-step explanation:
Find the value of x (show your work)
Convert: 7 qt.=________fl.oz
Answer:
224 fl.oz
Step-by-step explanation:
find the perimeter of the rectangle
Answer:
b. 14 cm
Step-by-step explanation:
To find the other side of the right triangle, use the Pythagorean theorem, a^2+b^2=c^2. The side is 4 cm, so 3+3+4+4=14 cm.
4. Consider the right triangle below.
If the perimeter is 1,013 units, find the value of x and the area of the
triangle.
16x + 27
14x - 45
25x
The value of x is
The area is
square units.
Answer:
16x+27+14x-45+25x=1013 units
X= 18.75
Area= b × h × (1/2)
A= 1/2 × 327 × 217.5 = 35561.25 units^2
Answers:
x = 1031/55 = 18.74545 approximatelyarea = 35,542.92 square units approximately==============================================================
Explanation:
The perimeter is the sum of the exterior sides. We'll add up these three sides
16x+2714x-4525xand set the sum equal to the perimeter 1013
The equation we need to solve is
(16x+27)+(14x-45)+(25x) = 1013
Solving for x leads to...
(16x+27)+(14x-45)+(25x) = 1013
16x+27+14x-45+25x = 1013
(16x+14x+25x)+(27-45) = 1013
55x-18 = 1013
55x = 1013+18
55x = 1031
x = 1031/55
x = 18.74545 approximately
-----------------------------
Use this x value to find the length of each side. I'll use the decimal form of x. We get the following side lengths:
16x+27 = 16*(18.74545) + 27 = 326.927214x - 45 = 14*(18.74545) - 45 = 217.436325x = 25*(18.74545) = 468.63625Those values are approximate.
We can then find the area of the triangle
area = (1/2)*base*height
area = (1/2)*(326.9272)*(217.4363)
area = 35,542.92036868
area = 35,542.92
The area is approximate as well.
The sale price of a meal at $17 what is the cost after 8% sales tax is applied
Answer:
$18.36Step-by-step explanation:
sales price = $17tax rate = 8%tax = (8×17)÷100tax = $1.36taxable amount = sales price + taxtaxable amount = $17 + $1.36 = $18.36MARK ME AS BRAINLISTPLZ FOLLOW ME
What are the possible measures of the triangle’s sides? Select all that apply.
Answer:
since a whole triangle is 180 you can do 60×3
Answer:
Step-by-step explanation:
Whole triangle = 180°
90 + 60 + 30
What is the value of x?
Answer:
possibly 4 if not I'm sorry
2. Which of the following are solutions to - 2.7 + x = - 3.5?
Step-by-step explanation:
x = -4/5 = -0.8
Answer:
x = −0.8
Step-by-step explanation:
−2.7 + x = −3.5
1.) Simplify both sides of the equation
x − 2.7 = −3.5
2.) Add 2.7 to both sides
x − 2.7 + 2.7 = −3.5 + 2.7
AND BAYUM...
x = −0.8
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hope I helped!!!
GL :)
r/1000=7, algebra, got confused and this one is weird to do. (personally)
Answer:
r = 7000Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/1000-(7)=0
Step by step solution :
STEP1:
r
Simplify ————
1000
Equation at the end of step1
r
———— - 7 = 0
1000
STEP 2
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 1000 as the denominator :
7 7 • 1000
7 = — = ————————
1 1000
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
r - (7 • 1000) r - 7000
—————————————— = ————————
1000 1000
Equation at the end of step 2
r - 7000
———————— = 0
1000
STEP 3
When a fraction equals zero :
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
r-7000
—————— • 1000 = 0 • 1000
1000
Now, on the left hand side, the 1000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
r-7000 = 0
Solving a Single Variable Equation:
Solve : r-7000 = 0
Add 7000 to both sides of the equation :
r = 7000
One solution was found :
r = 7000
Step-by-step explanation:
Hope it is helpful.....
Eqiuvalent expressions
5(x)(x)(x)(x)
Answer:
5x^4
Step-by-step explanation:
i need help with this pls 20 points for the right answer
Answer:
hiiii
Step-by-step explanation:
sorry I have not idea like what garde are u I'm
What is the value of w?
AnswThe letter (W) is the symbol used to represent whole numbers. Whole numbers are counting numbers from 0 to infinity. The whole numbers (W): 0, 1, 2, 3, 4 . . . Notice that every natural number is a whole number.er:
Step-by-step explanation:
A rectangular playground has an area of 3,394 square meters. If the width of the playground is 32 meters, find the length.
Answer:
106 square
Step-by-step explanation:
Area of rectangle = 3,394 square meters
Width = 32 meters
Length = ?
Area of rectangle = Length * Weight
3,394 = 32 * x
x = 3,394 /32
x = 106.0625
x = 106
The Length is 106 square
There are three rows of VIP seats in each section. Each row
has 12 seats and there are 16 sections. How many VIP seats
are there in all?
Answer:
576 I think
Step-by-step explanation:
3 x 12 x 16
1. f(x) = x3 - 3x2 - 8x - 60
Answer:
x = -2
Step-by-step explanation:
hope that helps :)
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Find each angle measure.
Answer:
Step-by-step explanation:
1)140
2)70
a(b - 4) + c(b - 4)
can someone help me please!!!
Answer:
(b−4)(a+c)
Step-by-step explanation:
Answer:
ab-4a+cb-4c
Step-by-step explanation:
a(b-4)+c(b-4)
ab-4a+cb-4c
what is the solution to d · -4=32
Answer:
-8
Step-by-step explanation:
-4d=32
d=32/-4
d=-8
A box of dried fruit has 80 calories in 5 servings. How many calories are there per serving?
Answer:
16 calories per serving
Step-by-step explanation:
80/5=16 calories per serving
Answer:
16 calories per serving. Hope this helps
Step-by-step explanation:
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
l = w + 3
l = w + 3
l = w – 3
l = 2w + 3
l = 2w – 3
Answer:
l = 2w – 3
Step-by-step explanation:
Answer:
l = 2w – 3
Step-by-step explanation:
Hope this helps!!!
someone help me please quick?
if I'm not wrong the answer does seem to be 69
Please help.
Is Algebra.
Answer:
5. 2, 6. 18
Step-by-step explanation:
8-?= 6, ? = 2
?-11 = 7, ? = 18
Justin won the track event with a time of
12.0683 seconds. Write this round this off
to the nearest hundredth.
Answer:
12.068Step-by-step explanation: the nearest hundredth to 12.0683 is 12.068 because 3 is below five
Consider the equation: 1 4 x + 3y − 23 = 42 The variables are: The coefficients are: The constants are:
Answer:
The variables are: x and y
The coefficients are: 1/4 and 3
The constants are: -23 and 42
Step-by-step explanation:
Given equation:
1/4x + 3y − 23 = 42
The variables are: x and y
The coefficients are: 1/4 and 3
The constants are: -23 and 42
Find the slope of line
Answer:
Negative
General Formulas and Concepts:
Algebra I
Reading a Cartesian planeStep-by-step explanation:
We see that every time our x-value increases, our y-value decreases. Therefore, we know we would have a negative slope.
Which statement is true about the slope of the graphed line?
Answer:
B, the slope is positive.
Step-by-step explanation:
You can tell that the slope is positive because it is going upwards from left to right.