Answer:
19.308
Step-by-step explanation:
The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We assume that the probability of throwing a sum of 10 in a pair of fair dice is
[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]
= 3/36
= 0.083
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A circle is to be drawn with radius 3.5 inches. the radius is measured as 3.6 instead, what error does this cause in the area of the circle?(leave your answer in terms of pi )
Answer:
[tex]0.71\pi\: in^2[/tex]
Step-by-step explanation:
[tex]r_1= 3.5\: in[/tex]
[tex]r_2= 3.6\: in[/tex]
[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]
[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]
[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]
[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]
Rotate shape A 90° anti-clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answer:
(-6, 1) (-6, 3) (-5, 3) (-5, 2) (-3 2) -3, 1
Step-by-step explanation:
By rotating 90 degrees x become y and y becomes negative x
What ratio forms a proportion with 2/3?
A. 2/4 B. 3/4 C. 4/6 D. 3/2
Answer:
c
Step-by-step explanation:
because you can simplify 4/6 by 2.
2 goes into 4 twice and then 2 goes into 6 3 times
2/3
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
Please show work
Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}[/tex] or [tex]\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
[tex]\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}[/tex]
Therefore, the solution is 31.
__________________________________________________________
Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as [tex]\displaystyle \large{a_{n-1} \cdot r = a_n}[/tex] meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
[tex]\displaystyle \large{r=\frac{a_{n+1}}{a_n}}[/tex]
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
Above should be applied for series that have common ratio not equal to 1.
[tex]\displaystyle \large{S_n=a_1 \cdot n}[/tex]
Above should be applied for series that have common ratio exactly equal to 1.
__________________________________________________________
Topics
Sequence & Series — Geometric Series
__________________________________________________________
Others
Let me know if you have any doubts about my answer, explanation or this question through comment!
__________________________________________________________
Help please I need helps please
Answer:
I belive the answer is 96 ft.
Step-by-step explanation:
Hope that helps!
A cylinder has a height of 9 millimeters and a radius of 11 millimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
3419.46 mm3
Step-by-step explanation:
volume of cylinder = area of circle x heoight
A of circle = pie r sqy = 3.14 x 11 x 11 = 379.94
379.94 x 9 = 3419.46
Drag each tile to the correct box.
The given steps for constructing a line tangent to circle O that is tangent to the circle at point P on the circle are listed out of order. Arrange the steps in the correct sequence.
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S.
B. Draw a line through P and S.
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
D. Draw a straight line from the center, O, through P and extending past P.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
Answer:
D, C, E, A, B
Step-by-step explanation:
This is essentially the construction of a perpendicular bisector.
D. Draw a straight line from the center, O, through P and extending past P
C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.
E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle
A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S
B. Draw a line through P and S.
How to find arc in math?Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r
What does arc mean?
In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.
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The volume of a cone is 400π cm3. The height of the cone is 12 cm.
What is the length of the radius of the cone?
Answer:
10 cmStep-by-step explanation:
The volume of cone formula:
V = 1/3πr²hSubstitute te given values into the formula and solve for r:
400π = 1/3πr²(12)100 = r²r = √100r = 10Answer:
10 cm
Step-by-step explanation:
Volume of a cone
[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]
where:
V = volumer = radiush = heightGiven information:
V = 400π cm³h = 12 cmTo find the length of the radius, substitute the given values into the formula and solve for r:
[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]
Therefore, the length of the radius of the cone is 10 cm.
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A median drawn to a side of a triangle is
Select one:
O a. a ray
O b. a segment
O c. a line
answer is it 1 2 3 or 4
Answer: C. 125.66 in²
Step-by-step explanation:
This is asking us to find the surface area of this cone. We can use the formula and solve.
A = πrl + πr²
A = π(4)(6) + π(4)²
A = π(4)(6) + π(4)²
A ≈ 125.66 in²
It would take C. 125.66 in² of toilet paper to cover the surface of this cone.
Please help I will give brainliest.
To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.
-> See attached for graph
1.5x + 4.5y = 18
4.5y = -1.5x + 18
y = -[tex]\frac{1}{3}[/tex]x + 4
The slope is -[tex]\frac{1}{3}[/tex]
y = -1/3x + 4
The y-intercept is (0, 4)
The x-intercept is (12, 0)
∠A and ∠B are supplementary. The measure of ∠A is 34°.
What is the measure of ∠B?
Enter your answer in the box.
Please help!
Answer:
146
Step-by-step explanation:
Given;
∠A and ∠B are supplementary. The measure of ∠A is 34°.
To Find;
What is the measure of ∠B?
Note:
Supplementary = 180 degree
Solve:
Since supplementary = 180 degree
34 + x = 180
Subtract 34 from both sides
x + 34 - 23 = 180 - 34
Simplify
x = 146
Hence, the measure of ∠B is 146
~Learn with Lenvy~
Please I need answer quickly
how many ways can you form 3 groups from 18 people so that there's 3 people in first group, 6 people in the second group and 9 people in third
Answer:
4 084 080 ways
Step-by-step explanation:
The number of ways is :
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}[/tex]
___________
Since
18C3=816
15C6=5 005
9C9=1
then
[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080[/tex]
2. What is the measure of angley?
(2 pts.)
52°
to
Answer: the answer is 55 degrees
Step-by-step explanation:
If x = 2and y = - 2 , find the value of 4x ^ 2 * y ^ - 2
=========================================================
Plug in the values of the variables & simplify:-
[tex]\longrightarrow\pmb{4x^2y^2}[/tex]
The values of the variables are:-
[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]
Simplify:-
[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]
[tex]\longrightarrow\pmb{4*4-4}[/tex]
[tex]\longrightarrow\pmb{16-4}[/tex]
[tex]\longrightarrow\pmb{12}[/tex]
==========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the answer for this is 4.
Unit 10: circles homework 6: arc & angle measures
**please explain how you get your answer**
Circles are perfectly round figures that have only one central angle
The measure of JML is 233 degrees
How to determine the measures of angle JML?The question is incomplete, so I will give a general explanation using the following parameter:
JL = 127 degrees.
Angles at a point add up to 360 degrees
So, we have:
JML + 127 = 360
Make JML the subject
JML = 360 - 127
JML = 233
Hence, the measure of JML is 233 degrees
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Can y’all please solve this
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle? 3 3 StartRoot 2 EndRoot ft 3 3 StartRoot 3 EndRoot ft 6 3 StartRoot 2 EndRoot ft 6 3 StartRoot 3 EndRoot ft.
The perimeter of the isosceles right triangle comes to be 6+3√2.
Given that the length of one leg of an isosceles right triangle = 3 ft
What is an isosceles right triangle?A right-angle triangle having sides other than hypotenuse equal to each other is called an isosceles right triangle.
So, The length of the other leg of an isosceles right triangle = 3 ft
From Pythagoras theorem
Hypotenuse²=Perpendicular²+Base²
So, in the given isosceles right triangle
Hypotenuse²=Leg 1²+Leg2²
Leg 1=Leg2 = 3 feet
Hypotenuse² = 3²+3²
Hypotenuse = 3√2 ft.
So, the perimeter of the triangle = 3+3+ 3√2
The perimeter of the triangle =6+3√2
Therefore, The perimeter of the isosceles right triangle comes to be 6+3√2.
To get more about the right triangle visit:
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Answer:
6 + 3 StartRoot 2 EndRoot ft
Step-by-step explanation:
Edge2022
Write f(x) = 2x2 – 44x 185 in vertex form. To write f(x) = 2x2 – 44x 185, factor out from the first two terms. Next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 – 22x 121) 185 – 242 The function written in vertex form is f(x) = (x – )2.
The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x – 11)² – 57.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadrattic equation is f(x) = 2x² – 44x + 185.
Take common 2 from the equation, we have
[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]
Add and subtract 121, we have
[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]
And we know that the standard equation
f(x) = a(x - h)² + k
On comparing, we have
The vertex (h, k) is (11, -57).
More about the quadratic equation link is given below.
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Answer:
1. 2
2. 2
3. 11
4. -57
Step-by-step explanation: actual answers
328 rattle snakes in 2008. How many will there be in 2024?
402853
21498508
32800
20992
Answer:
[tex]{ \tt{12 \: months = 328}} \\ { \tt{(12 \times 15) = \frac{(15 \times 328)}{1} }} \\ \\ = { \tt{4920}}[/tex]
Answer:
2008=328
2024=?
Step-by-step explanation:
12×13 = 16×328/1
Please help me with complement or supplement of an angles.
Answer: 101 degrees
Step-by-step explanation:
Convert 30% to a fraction in lowest terms
Answer:
3/10
Step-by-step explanation:
Hope this helped
help me please!!!!!!!!!
Answer:
A = 5
I hope you have an amazing day!
6
It costs 35p per minute to hire a powerful computer. How much will it cost to hire the
computer from 07:40 to 08:15?
Answer:
1225p
Step-by-step explanation:
1 minute = 35p
07:40 to 08:15 : 35 minute
=> 35 minute *35p=1225p
Simplifying into an equivalent expression, fill in the missing pieces:
Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6.
Question 1
1 pts
Use the GSS file to investigate whether or not Americans use the Internet at least 7
hours per week (estimating an hour per day). Perform the One Sample T Test
procedure (as presented in SPSS Demonstration 1) to do this test with the variable
WWWHR. Do the test at the .01 significance level. What is the T [1]?
Put 40 in the
The computation of the significance level shows that the p-value is less than 0.01 and the conclusion is that Americans use the internet more than 7 hours weekly.
What is a significance level?It should be noted that the significance level simply means the probability that an event occured by chance.
From the complete question, it can be noted that at 0.01 significance level, the t statistic is 17.873 and the degree of freedom is 539.
The p-value for the right tailed test is 0. Therefore, since the p value is less than 0.01, we will reject the null hypothesis. The conclusion is that Americans use the internet more than 7 hours weekly.
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Find the sum of the following polynomials
(3x^3+ 8x^2– 3) + (7x^3- 4x + 4)
Answer:
10x^3+8x^2-4x+1 is answer
Write the following expression using an exponent.
1x7x7x7x7x7
Answer:
7^5
Step-by-step explanation:
Hopefully this helps :)
HELP ASAP ILL MARK BRAINLIST
1.State whether ∆RST is similar to ∆UVW and why. Show your work and explain what postulate or theorem you used to solve.
Answer:
Yes they are similar
Step-by-step explanation:
Divide the length VW by ST
24 ÷ 16 = 1.333
Divide the length VU by SR
16 ÷ 12 = 1.333
→ As they have the same scale factor, they are similar.
Answer:
Step-by-step explanation:
First when triangles are similar angles are congruent and the side ratio are the same .
18/24=12/16=m/32
3/4=3/4=m/32
3/4=m/32
4m=96
m=24