Answer:
(viii) 116 ± 2.78 x 14.4√5
Step-by-step explanation:
The given data is
Sample size =n= 5
Calculated t- value= 2.4837
Mean= 116
Standard deviation= sd= 14.40486
The t - value from table with 4 d.f for ∝/2 is t∝/2 (n-1)= 2.776
The 95% confidence interval is calculated by
d` ± t∝/2 (n-1) *sd/√n
Putting the values
116 ± 2.776* 14.40486/√5
Comparing these values with the options Part viii gives the best answer.
(viii) 116 ± 2.78 x 14.4√5
2.776 when rounded gives 2.78 and 14.40486 when rounded gives 14.4
The rest are incorrect.
Will mark brainlest help me
Answer:
a. {(1,3), (1,4) ,(2,3), (2,4) }
b. {(1,4), (1,5), (2,4), (2,5)}
Answer:
PxR={(1,4)(1,5)(2,4)(2,5)}
PxQ={(1,3)(1,4)(2,3)(2,4)}
Step-by-step explanation:
Each of the members of set P is multiplying by each member of set Q or R,
so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)
When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.
what are the principle and symmetric solutions to the equation 2cos(x)=-1
Answer:
Assuming that x is in degrees (you could generalize this to any unit)
For an equation like:
sin(a*x) = K
The principle solutions are the values of x in the range:
0° ≤ x < 360°
And the symmetric ones are the solutions:
xₙ = x + n*360°
where n is an integer.
Ok, first let's solve:
2*cos(x) = -1
isolating the cosine part, we get:
cos(x) = -1/2
Now we can use the inverse cosine function, Acos(x)
If we apply this function to both sides, we get:
Acos (cos(x)) = Acos(-1/2)
x = Acos(-1/2) = 120°
x = 120° is the princpiple solution.
And the symmetric solutions are:
xₙ = 120° + n*360°
So for example:
x₁ = 120° + 1*360° = 480°
x₃ = 120° + 3*360° = 1200°
etc...
Carrie works due south of her apartment. Her friend Sarah works due east of the
apartment. They leave for work at the same time. By the time Carrie is 5 miles from
their apartment the distance between them is 1 mile more than Sarah's distance
from the apartment. How far from the apartment is Sarah?
Answer:
3 miles
Step-by-step explanation:
5-1+2=3
From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m
What is the pythagoras theoremThis theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Using the pythagoras theorem
BC² = AB² + AC²
The sides of the triangle are x, x - 1 and 5
x² = (x-1)² + 5²
x² = (x-1)(x-1) +25
x² = x²-x-x -1 + 25
collect like terms
2x = 24
divide through the equation by 2
x = 24/2
= 12m
Read more on distance here: https://brainly.com/question/2854969
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Which expression has the greatest value?
A: 16 3/2
B: √16^2
C: 3√64^2
D: 3√8^4
Answer:
16 3/2
Step-by-step explanation:
So lets go thru each one.
16 3/2 is just 17.5
A square root cancels out a square.
A cubed root cancels out a cube.
So, in the next answer:
16 squared, to the square root is just 16, since the squaring and root cancels out.
64 sqaured to the cube root must be 16. Lets break it all down:
2^6=64. We need to square this, so we can rewrite it as:
64^2 = [tex](2^6)^2[/tex]
Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:
[tex]\sqrt[3]{2^1^2}[/tex]
Now, when we divide a exponent by a exponent, we subtract.
However, when we root a exponent, it is division.
So it is the 2 [tex]\frac{^1^2}{^3}[/tex]
=
[tex]2^4[/tex]
Or
16
Finally we have the cubed root of 8^4.
using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]
Then again, we cube root it.
This is division of the 12 exponent by the 3 root, so we get:
[tex]2^4[/tex]
=
16
So in the end:
A - 17.5
B - 16
C - 16
D - 16
So a is the largest number
Hope this helps!
I need the answers Anyoneeee
Rectangle ABCD is transformed to A’B’C’D’ by a dilation. What is the scale factor used for the dilation?
Answer:
Scale factor = 3
Step-by-step explanation:
Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure
Scale factor = B'C'/BC
B'C' = 9 units
BC = 3 units
Scale factor = 9/3 = 3
A school class of 120 students is driven in 3 buses to a symphonic performance. There are 36 students in one of the buses, 40 in another, and 44 in the third bus. When the buses arrive, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of that randomly chosen student, find E(X).
Answer:
40.2667
Step-by-step explanation:
P(X=36)= 36/120
P(X=40)= 40/120
P(X=44)=44/120
E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667
hope this helps
If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A school class of 120 students is driven in 3 buses to a symphonic performance.
There are 36 students on one of the buses, 40 on another, and 44 on the third bus.
From the data given:
Let X be the total number of passengers on the bus carrying that randomly selected student,
Total number of students = 120
Let:
Probability:
P(X = 36) = 36/120
Probability:
P(X = 40)= 40/120
Probability:
P(X = 44)=44/120
E(X) = 36(36/120) + 40(40/120) + 44(44/120)
E(X) = 1208/30
E(X) = 40.26
Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
Learn more about the probability here:
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Expand the brackets 3(12-W)
Answer:
[tex]36 - 3m[/tex]
Step-by-step explanation:
[tex]3(12−m)[/tex]
[tex]3 \times 12+3(−m)[/tex]
[tex]36+3(−m)[/tex]
[tex]36−3m[/tex]
Hope it is helpful...C' ∩ ( A U B ) what is the answer to this question.
venn diagram
Step-by-step explanation:
n(AUB)=n(A)+n(B)-n(AnB)
hope it helps
stay safe healthy and happy..What ends in 1258I will say that you cool in comments
Answer:
NUMBERS end in 12581... YEP.
Answer:
End 12581 yes
What is the correct classification for each given angle?
Drag and drop the answer into the box to match each angle.
pls pls help me out guys
why does my teacher have a lisp man its so annoying
Answer:
She is born with it. So be nice to here and don't talk about here lisp. If you do you would become here favorit. Don't talk bad about here behind here back.
Step-by-step explanation:
Lisp is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today. Only Fortran is older, by one year.
which statement is true about the equation (x-4)(x+2)=16
Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
y=1/2x-6 x=-4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answer:
the answer to the system of equations is (-8,-4).
Answer:
B. (-4, -8)
Step-by-step explanation:
y = 1/2x - 6
x = -4
We already know the value of x, so let's plug it into the first equation.
y = 1/2x - 6
y = 1/2(-4) - 6
Multiply.
y = -2 - 6
Subtract.
y = -8
Your solution is (-4, -8).
Hope this helps!
Help me pls find this answer I doubt mine is right
Answer:
whats the question?
comment so i can help:)
In the above figure, m∠P = 125° and m∠Q = 5x. If angles P and Q are supplementary angles.
what is the value of x and the measure of angle Q?
A. x = 61, m∠ Q = 55°
B. x = 11, m∠Q = 16°
OC. x = 11, m&angle: Q = 55°
D. x = 43, m∠Q = 215°
9514 1404 393
Answer:
the correct choice is marked: x = 11; Q = 55°
Step-by-step explanation:
If P and Q are supplementary, then ...
Q = 180° -P
Q = 180° -125°
Q = 55°
Then we have ...
5x = 55°
x = 11°
What are constants in expression 5w+4-9m+2
Answer:
4 and 2
Step-by-step explanation:
These are considered to be constant because the values cannot change. For example, the values of 5 and 9 can change depending on what w and m are.
Answer:
4 and 2
Step-by-step explanation:
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
Please help me!! i have no clue how to do this unit :(
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
solve for x below in the equation
Answer:
Step-by-step explanation:
7x + 2x =90 (being perpendicular)
9x =90
x =90/9
x =10
substiute the value of x
7x
=7*10
=70
2x
=2*10
=20
Answer:
x = 10
Step-by-step explanation:
See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.
Therefore, if we were to write it out:
2x + 7x = 90
(vertically opposite angles)
9x = 90
∴ x = 10
Read the sentence.
This is an example of a
Brendan is playing in the backyard.
O simple sentence.
O compound sentence.
O complex sentence.
O compound-complex sentence.
Answer:
I think it's simple sentence
Find y.
A. 42–√
B. 4
C. 22–√
D. 83√3
Answer:
B
Step-by-step explanation:
You always have to use the Big Three trig functions (those that are on your calculator when answering this kind of question involving right angle triangles).
y is the adjacent side of the triangle. It is the side (other than the hypotenuse -- which is the longest side of the right triangle) that makes up the cosine.
Cos(45) = y / 4 sqrt(2)
Cos(45) = sqrt(2)/2
Multiply both sides by 4 sqrt(2)
4*sqrt(2) * cos(45) = y
4*sqrt(2) * sqrt(2)/2 = y
2*2 = y
y = 4
I can't tell you where all the other choices are coming from.
Answer:
4, or B
Step-by-step explanation:
15. PLZ HELP For each part below, use the figure to fill in the blank. If necessary, you may learn what the markings on a figure indicate. (a) Find Q (b)Find m < M.
Answer:
a. m<Q = 75°
b. m<M = 60°
Step-by-step explanation:
a. The triangle has two equal sides, therefore it is an isosceles triangle. Thus, its base angles would be equal also. m<Q = m<S
Therefore:
m<Q = ½(180 - 30)
m<Q = 75°
b. All sides of the triangle are equal. Therefore, it is an equilateral triangle with equal angles measuring 60° each.
m<M = 60°
The sides of the cuboid are 20cm 5cm and 10cm what is the surface area
Answer:
The formula for calculating the surface area of a cuboid is as follows.
Surface Area of Cuboid = 2lw + 2lh + 2hw
Where,
l = Length = 20cmw = Width = 5cmh = Height = 10cmTherefore,
Surface Area of Cuboid = (2 x 20 x 5) + (2 x 20 x 10) + (2 x 10 x 5)
= 200 + 400 + 100
= 700 [tex]cm^{2}[/tex]
Find the length of AB and round answer to the nearest hundredth
Answer:
AB ≈ 11.17 m
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{80}{360}[/tex]
= 2π × 8 × [tex]\frac{8}{36}[/tex]
= 16π × [tex]\frac{2}{9}[/tex]
= [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )
somebody helppppppppppppppppppppppppp....
Answer:
55
Step-by-step explanation:
It is 55 minutes more because 1 1/2 hrs = 90 minutes and when you add 20 plus quarter of an hour it equal to 35. SO than you subtract 35 from 90 and you get 55 which is the more minutes .
EDCITE !!! HELP PLEASE !
Answer:
34
Step-by-step explanation:
The angles of a triangle add to 180
56+ F + 90 = 180 ( the box means 90 degrees)
Combine like terms
146+F = 180
Subtract 146 from each side
F = 180-146
F = 34
What are the pair of interior and exterior angles called?
Answer:
On the same side of the transversal, a pair of matching angles can be found. One outer angle and one internal angle make up the appropriate pair of angles. All related angles are not created equal. If the transversal connects two parallel lines, the corresponding angles are equal.
Step-by-step explanation:
Express the inequality b < -1.4 using interval notation.
Answer:
See image below for answer:)
Step-by-step explanation:
The inequality b < - 1.4 written as interval notation is b ∈ (- ∞, - 1.4).
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality b < - 1.4.
We know in interval notation if x is greater than a and less than b we write
a < x < b.
Therefore, The inequality b < - 1.4 can be written as,
- ∞ < b < - 1.4 Or b ∈ (- ∞, - 1.4).
learn more about inequalities here :
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4x (2x + 3x) + 5y (5y + 3y)
+
Simplify the expression by distributing and then combining like terms
Answer:
20x² + 40y²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x(2x + 3x) + 5y(5y + 3y)
Step 2: Simplify
[Addition] (Parenthesis) Combine like terms: 4x(5x) + 5y(8y)Multiply: 20x² + 40y²Answer:
20 x ² + 40 y ²
Step-by-step explanation:
4 x ( 2 x + 3 x ) + 5 y ( 5 y + 3 y )
Combine likes term
4 x ( 5 x ) + 5 y ( 8 y )
multiply, we get
20 x ² + 40 y ²
