Answer:
Mean= [tex]\frac{11+9+11+15+17+13+17}{7}[/tex]
=13.28 ≈13
For median arrange in ascending or descending order. i am arranging in ascending order
9,11,11,13,15,17,17
cancel from left and right until one number is left
median=13
Use the Pythagorean Identity and Tangent Identity to find tan theta if sin theta= -1 and 0 ≤ theta <2Pi radians.
By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.
tan [tex]\theta[/tex] = ∞.
What is Pythagorean identity?
Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],
[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]
By Pythagorean Identity we have,
[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]we have, [tex]sin \theta \; = \; -1[/tex]
So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]
[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]
[tex]cos^{2}\; \theta =0[/tex]
[tex]cos\; \theta =0[/tex]
Now, we know that
[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]
= [tex]\frac{-1}{0}[/tex]
[tex]tan \; \theta=[/tex] ∞....................... (1)
Again, tan [tex]90^{0}[/tex] = ∞
If we compare from equation (1), we have
[tex]\theta = 90^{0}[/tex]
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In a multiple-choice test, there are 10 questions. Each question has 4 choices, one of which is correct. Tom, who knows nothing about the subject, guesses each answer at random. Let X be the number of questions that Tom has actually guessed correctly. Find the mean and standard deviation of the X-distribution.
Answer:
B
Step-by-step explanation:
2/7 x 4/9 - 1/4 + 2/7 x 1/3 evaluate using appropriate property
The solution of the given expression will be equal to ( -1 / 36 ).
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The solution of the given expression will be:-
[tex]=[\dfrac{2}{7}\times \dfrac{4}{9}]-\dfrac{1}{4}+[\dfrac{2}{7}\times \dfrac{1}{3}][/tex]
[tex]= \dfrac{8}{63}-\dfrac{1}{4}+\dfrac{2}{21}[/tex]
[tex]=\dfrac{32-63+24}{252}[/tex]
[tex]=\dfrac{-1}{36}[/tex]
Therefore the solution of the given expression will be equal to ( -1 / 36 ).
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what is 10 divided by 123456
Answer:
12345.6
Step-by-step explanation:
when dividing by 10, just move the decimal point one time to the left. 123456 is changed to 12345.6
A cylinder has a height of 9 meters and a diameter of 12 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth. please helpppp
Answer:
1,017.36
Step-by-step explanation:
To find the volume of a cylinder, you need to figure out the radius and height.
We've already been given the height, which is 9 meters.
Now let's find the radius.
To find the radius you have to divide the diameter by 2, which means 12/2, which is 6.
Now let's plug it into the formula: [tex]V = \pi r^{2} h[/tex]
So, 3.14 x [tex]6^{2}[/tex] x 9.
Solve the exponent, giving us 36.
3.14 x 36 x 9 = the volume.
Meaning, V = 1,017.36
Hope this helped, this is my first time answering a question.
Which is the equivalent reciprocal of cot 75 ?
Answer:
What is the Value of Cot 75 Degrees in Terms of Tan 75°? Since the cotangent function is the reciprocal of the tangent function, we can write cot 75° as 1/tan(75°). The value of tan 75° is equal to 2 + √3.
The nth term of a sequence is represented by [tex]\frac{ 2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}[/tex]
What is the limit of the nth term as x becomes increasingly large?
A. 0
B. 1/3
C. 3
D. Limit does not exist.
Answer:
A) 0
Explanation:
[tex]\sf \lim _{x\to \infty }\left(\dfrac{2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}\right)[/tex]
1) Limit does not exist when the numerator is bigger.
2) Limit is zero when the denominator is bigger.
3) Limit is the ratio of coefficients when both powers are equal.
Here, the denominator have a power of 4, bigger than the numerator.
Hence, the limit of the nth term is 0.
The graph of the parent function y = x3rd power is horizontally stretched by a factor of 1/5 and reflected over the y-axis. What is the
equation of the transformed function?
('
O y=(5x)3
Oy=(-5x)3
Oy=(1/5x)3
Oy=(-1/5x)3
Step-by-step explanation:
The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?
Original: y = √(x)
Reflected in the y-axis: y = √(-x)
Horizontally stretched by a factor of 2: y = √(-x/2)
Shifted 3 units up: y = 3 + √(-x/2)
And 1 unit left: y = 3 + √(-(x+1)/2)
The equation of the transformed function is y = (-5x)³.
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of modifying a shape's size or position.
we have, Function
y = x³
Scale factor = 1/5
Now, stretch the function horizontally by factor 1/5 then
y = (5x)³
Now, reflection of graph about y axis result change x to -x.
y = (-5x)³
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Doug is planning to build a model of a sailboat using a scale where 2 inches represents 25 feet. If the sailboat has a sail-height of 210 feet, what is the length in inches that Doug should build sail-height of the model of the airplane.
Answer: 16.8
Step-by-step explanation:
2:25 = X:210
210/25 = 8.4
Multiply 8.4 by 2
need help with all of these questions you see on the top. there the red squares. please someone smart ( dose not show rn ). this is one of the problems I need to finish this tonight.
Answer:
402.1 in^3
Step-by-step explanation:
To find the area of a cylinder, you multiply the base by the height. Given a base area of [tex]32\pi[/tex] in^2 and a height of 4 in results in the following equation:
V = 32π x 4
This comes out to be 402.123859659 which is 402.1 when rounded to the nearest tenth.
A rectangular coil of wire, 22. 0cm by 35. 0cm and carrying a current of 1. 95a , is oriented with the plane of its loop perpendicular to a uniform 1. 50 t magnetic field
If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.
What is torque?The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.
A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.
Then the torque that the magnetic field exerts on the coil will be
The torque is given as
[tex]\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}[/tex]
The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have
[tex]\rm \tau = I AB \sin \theta[/tex]
When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.
Then θ = 0
Then we have
[tex]\rm \tau = I AB \sin 0\\\\\tau = 0[/tex]
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I need help with number 5.
Pls help!!
Answer:
I cannot see number 5 question there are many question please clarify
g5 ⦁ g2 is equal to g25
- - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - - - - - -
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Is g⁵•g² equal to g²⁵?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
No, the expression is not equal to g²⁵.
Reason:-
If we multiply two numbers with the same base, we add their exponents.
So we add 5+2:
g⁽⁵⁺²⁾=g⁷
Good luck.- - - - - - -- - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
27.
In a certain statistics class. he
average grade is 83% with a standard deviation of 4.2%. What
the z-score corresponding to
grade of 81.8%?
-5.04
B.O-1.2
c.O-0.29
D.® 1.2
The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.
What is a z score?The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:
z = (81.8 - 83)/4.2 = -0.29
The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.
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The sum of two numbers is twenty-one the larger number is three more than twice the smaller number . What are the two numbers ?
Answer:
6 and 15
Step-by-step explanation:
n1 + n2 = 21
2(n1) + 3 = n2
n1 = 6
n2 = 15
6 + 15 = 21
Evelyn baked 41 cookies. She gave the same number of cookies to each of her 5 friends, saving 11 for herself. How many cookies did each friend receive?
Answer: Draw 41 circles and then divide them among her five friends.
Step-by-step explanation:
helpppppppppppppppppppp
(a) Check the graph given below.
(b) 9 is located to the right of -6
(c) complete the statement: 9 > -6
how to bisect a 90 degree angle
Answer:
Bisect means to divide it into two, so you can draw a line such that both resulting sides are 45 degrees.
The area of a parallelogram is A=bh where b is the base and h is the height. Find the area of a parallelogram with a base of 8x+3 and a height of 8x – 3.
Answer:
64x^2-9........
Step-by-step explanation:
(8x+3(8x-3)
Y is between points J and A. JA=17 and YA=3.
What is JY?
Enter your answer in the box.
JY =
Answer: the answer is 14
Step-by-step explanation: i hope this helps :)
The value of JY is 14
How to calculate the value of JY?According to the problem,
Y is between points J and A.
JA=17 and YA=3∴ JY = ( JA - YA) = (17 - 3) = 14
∴ JY = 14
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Write and solve an addition or subtraction equation to find the missing angle measure
Answer:
90°
Step-by-step explanation:
The three angles : 45°, n°, and 45° will form a line.
A property of a line is that it creates a 180° angle.
⇒ 45 + n + 45 = 180⇒ n + 90 = 180⇒ n = 90°Sheena wants to measure the volume of a ball that is 24 cm across. How should she set up her equation?
O v=-24²(12)
O v=12² (24)
O v=
O V=R24³
O v= 12³
Answer:
V = 4/3 π (12)³
Step-by-step explanation:
The volume of a sphere is:
V = 4/3 π r³
where r is the radius.
Here, the ball has a diameter of 24 cm. Radius is half the diameter, so r = 12.
V = 4/3 π (12)³
Write the product using exponents.
Answer:
[tex]\pi ^{3} *x^{4}[/tex]
Step-by-step explanation:
Simplifying using the exponent rule with the same base [tex]a^{n} *a^{m}[/tex]
[tex]=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}[/tex]
Calculate the sum or difference: [tex]\pi^ {3} *x^{4}[/tex]
Answer: [tex]\pi^ {3} *x^{4}[/tex]
A pyramid has a height of 17 meters and a base area of 6 square meters. what is the volume of the pyramid.
Answer:
34 m²
Step-by-step explanation:
Given,
Height ( h ) = 17 m
Base Area ( A ) = 6 m²
To find : Volume of Pyramid
Formula : -
Volume of Pyramid = Ah / 3
Volume of Pyramid
= 17 x 6 / 3
= 17 x 2
= 34 m²
Hence,
The Volume of pyramid is 34 m².
Apply the distributive property (m−3+4n)⋅(−8)
Answer:
-8m+24-32n
Step-by-step explanation:
-8 times m is -8m
-8 times -3 is 24
-8 times 4 is -32
put it together, you have -8m+24-32n
what is pi and why do we need it
Answer:
See below
Step-by-step explanation:
π, pronounced as pi is the ratio between 2πr which is circumference to 2r which is diameter.
In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.
π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as π radians or π rad which is equivalent to 180°.
Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.
In calculus, you need π to do solid of revolution method which is:
[tex]\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}[/tex]
In trigonometry, you need it for measurement/angle.
So anything that’s related to revolution, rotation or related to circle must require π at least.
In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.
Let me know if you have any questions!
Can someone help me with this question please
Answer:
∠A≅∠Y AB≅YZ
∠B≅∠Z AC≅YX
∠C≅∠X BC≅ZX
ΔABC≅ΔYZX
Step-by-step explanation:
congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle
To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.40 per hour. The chemistry club wants to spend less than $86.80 on renting the meeting room.
Answer:
The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.
Step-by-step explanation:
$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;
49+ 5.40h < 86.80
5.40h < 86.80
5.4h< 37.8
h< 7
Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.
(This answer does not consider decimals or half hours)
place and value 127,654
786,540 45,902 place value help please
Answer:
127,654
Place: hundreds, Value: 600
786,540
Place: Hundred thousands, Value: 700,000
45,902
Place: ten thousands, Value: 40,000
Hope this helps!
The area of a circle is 9π in². What is the circumference, in inches? Express your answer in terms of \piπ
Answer:
[tex]6\pi[/tex] in
Step-by-step explanation:
The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius.
The formula to find the circumference (perimeter) of a circle: [tex]2\pi r[/tex], where [tex]r[/tex] is the radius.
1) To find the circumference of the circle, we need to find the radius ([tex]r[/tex]) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.
[tex]9\pi =\pi r^2[/tex]
Cancel the [tex]\pi[/tex] by bringing it to the other side.
[tex]9 =\pi r^2[/tex] ÷ [tex]\pi[/tex]
[tex]9 = r^2\\\sqrt{9} = r\\3 = r[/tex]
2) Find the circumference of the circle by using the formula, [tex]2\pi r[/tex].
= [tex]2*\pi *3[/tex]
= [tex]6\pi[/tex] in
