Answer:
5
Step-by-step explanation:
The winnings are in G.P. : 1, 2, 4, ..... till 10 toss.
[tex]$a_n = 1 \times 2^{n-1}\ \ \ \forall \ n = 1,2,3,4,....,10$[/tex]
[tex]$a_n$[/tex] denotes the winnings on the [tex]$n^{th}$[/tex] toss.
The probability of earning amount [tex]$a_n$[/tex] on the [tex]$n^{th}$[/tex] toss is = [tex]$\left(\frac{1}{2}\right)^n$[/tex]
∴ [tex]$E(X) = \sum_{n=1}^{10} \ a_n \times \left(\frac{1}{2}\right)^n $[/tex]
[tex]$=\sum_{n=1}^{10} \ 1 \times \frac{2^{n-1}}{2^n} $[/tex]
[tex]$=\sum_{n=1}^{10} \ \frac{1}{2}$[/tex]
Sum of the 1st n terms of the A.P. is :
[tex]$=\frac{n}{2}[2a+(n-1)d] $[/tex]
[tex]$=\frac{10}{2}[2\times \frac{1}{2}+(10-1)\times 0] $[/tex]
= 5
Therefore, E(X) = 5
Hence the expected value of the game is 5
A=1/2h(b+b)
a
77 ft sq.
b
29 ft sq
c
154 ft sq
d
392 ft sq.
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Putting values in the equation
A = 1/2(7)(8 + 14)
= 1/2(7)(22)
= 1/2(154)
= 77 ft. sq
Option A is the correct answer
30^2 + 15^2 = c^2
Use pythagorean theorem
Answer:
c = 33.5
Step-by-step explanation:
[tex]30^{2} + 15^{2} = c^{2}[/tex]
[tex]900 + 225 = c^{2}[/tex]
[tex]1125 = c^{2}[/tex]
(find square root of both sides to get c alone)
[tex]c = 33.541[/tex]
Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches. Which of the following is closest to angle F
1. 38° 2. 65° 3. 52° 4. 72°
Answer:
3
Step-by-step explanation:
The closest angle to F in the triangle is 52 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that Right triangle EFG it is known that the side opposite of acute angle F has a length of 18 inches and the leg adjacent to F has a length of 14 inches.
We can use the tangent function to find the measure of angle F:
tan(F) = opposite/adjacent = 18/14
we can find the inverse tangent of this value:
F = tan⁻¹(18/14)
= tan⁻¹(1.28)
F= 52.15°
Hence, the closest angle to F in the triangle is 52 degrees.
To learn more on trigonometry click:
https://brainly.com/question/25122835
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2 questions i need help with thanks!
Answer:
c for both
Step-by-step explanation:
Arthur has a balance of $2330 on his credit card, which he plans to pay off by
making a payment of the same amount each month. Which of these monthly
amounts will allow Arthur to pay off his balance the fastest?
Answer:
C. $80
Step-by-step explanation:
A. $70
B. $65
C. $80
D. $75
When he pays $70 monthly
Number of months = $2330 / $70
= 33.3 months
When he pays $65 monthly
Number of months = $2330 / $65
= 35.9 months
When he pays $80 monthly
Number of months = $2330 / $80
= 29.1 months
When he pays $75 monthly
Number of months = $2330 / $75
= 31.1 months
The monthly amounts that will allow Arthur to pay off his balance the fastest is $80 per month
Gerald’s truck is in need of repairs totaling $3,000. Gerald is considering how he will pay for these repairs.
Hello again!
Answer:
The correct answer is B. 18 months.
Step-by-step explanation:
I just typed in "credit card payoff calculator" in g00gle, and it should be the first one you see.
That was the website I used to solve this problem. You can use that for other problems you need to solve too.
Hope this helps :)
What is the measure of the unknown segment?
Answer:6
Step-by-step explanation:
PLEASEEE HELP WILL MARK BRAINLIEST HELP QUICK!!
Answer:
A) y = 2x + 3
Step-by-step explanation:
when x is 2 and y is 7:
y = 2(2) + 3
y = 4 + 3
y = 7
This goes for the other values as well
Answer I think it is A
Step-by-step explanation:
2 x 2 = 4 + 3 = 7
2 x 3 = 6 + 3 = 9
2 x 4 = 8 + 3 = 11
Write an equation in point-slope form and slope-intercept form for each line
1. passes through (1, 9), slope = 2
2. passes through (4, -1), slope = -3
An equation of a line in point-slope form: y - y₁ = m(x - x₁)
1.
passes through (1, 9) ⇒ x₁ = 1, y₁ = 9
slope: m = 2
The equation:
y - 9 = 2(x - 1) ← point-slope form
y - 9 = 2x - 2 {add 9 to both sides}
y = 2x + 7 ← slope-intercept form
2.
passes through (4, -1) ⇒ x₁ = 4, y₁ = -1
slope: m = -3
The equation:
y + 1 = -3(x - 4) ← point-slope form
y + 1 = -3x + 12 {subtract 1 from both sides}
y = -3x + 11 ← slope-intercept form
Which of the following has the greatest value.
Answer:
A.
Step-by-step explanation:
The first question equals 729 and it is the highest, I reccomend using photomath.
4, what is the length of EF? Please help
Answer:
EF = 8
Step-by-step explanation:
BC is half of AB, which means that DE will be half of EF. So if DE is 4, which is half of EF, then EF must be 8.
hope this helped! :)
8. Somebody said the answer is letter A. I Don't Know the answer
Which properties of equality justify steps c and f?
A. Addition Property of Equality; Division Property of Equality
B. Multiplication Property of Equality; Division Property of Equality
C. Subtraction Property of Equality; Multiplication Property of Equality
D. Addition Property of Equality; Subtraction Property of Equality
Answer:
D. Addition Property of Equality; Subtraction Property of Equality
Step-by-step explanation:
Answer:
Option C and B
Step-by-step explanation:
In the question step C is 23 + 11 = -11 +(-4x) + 11
which is in the form of a + b = c + a
In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.
property which signifies this step is
Addition property of equality :
In step 'f' expression is
\frac{34}{-4}=\frac{-4x}{-4}
In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.
In this step division property of equality has been applied.
Therefore Option C and B are the correct options.
Please somebody help me ASAP
it's recorded that out of 1000 people, 762 wear the corrective lenses.
just divide 762 from 1000 and multiply that result by 100.
762/ 1000 = .762
.762 x 100 = ? %
which is 76.2 %
so, we predict that 76.2% of Americans would wear corrective lenses.
Answer: 76.2 %are these proportional?
3/2 and 18/8
Answer:
For two fractions to be proportional, they must be equivalent. 32=1.5 and 188=2.25 , so these fractions are not proportional.
Step-by-step explanation:
66666666 help me plz plz plz
Answer:
XY would also be 7 centimeters which is answer D.
Step-by-step explanation:
This is a parallelogram, meaning that the adjacent sides are congruent. As well, the triangles making up the figure are congruent, so it makes sense that XY would also equal 7 centimeters.
Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
Long cooks three Vietnamese dinners that weigh a total of 40 ounces. What is the average(mean) weight for each dinner?
Answer:
The average (mean) weight for each dinner is 13.33 oz.
Step-by-step explanation:
mean = sum of all data points / total number of items in the set
mean = 40 / 3
mean = 13.33 oz
HELPP PLSSSS NO BOTS OR I WILL REPORT!!!
Answer:
B. false
Step-by-step explanation:
A decagon.
Gregory drew this regular decagon. All angles have the same measure.
What is the sum of the interior angle measures?
°
What is the measure of each angle?
°
Answer:
78
Step-by-step explanation:
Answer:
1440 and 144 on edg 2020-2021
Step-by-step explanation:
Three sisters are saving for a special trip. The ratio of Helga's savings to Gertrude's savings is 9:2
and the ratio of Gertrude's savings to Maurice's savings is 2:5. Together all 3 sisters have saved $64.
How much has each girl saved? Answer questions 3–4.
? How can you use a diagram to make sense of the problem?
Answer:
Solution in photo
Label each statement as true or false regarding the zeros/roots of a quadratic function. The roots zeros of a quadratic function are the same as the factors of the quadratic function. The roots zeros are the spots where the quadratic function intersects with the y-axis. The roots zeros are the spots where the quadratic function intersects with the x-axis. There are not always two roots/zeros of a quadratic function,
Answer:
True, false, true, true.
Step-by-step explanation:
The roots zeros of a quadratic function are the same as the factors of the quadratic function. This is true because your roots are your factors—>(x-3) is a factor, x=3 is the root.
The roots zeros are the spots where the quadratic function intersects with the y-axis. No! Those are called y-intercepts!
The roots zeros are the spots where the quadratic function intersects with the x-axis. True. X-intercepts are your solutions. (x-3) graphed would the (3,0). That’s a solution.
There are not always two roots/zeros of a quadratic function, True. No solution would be when your quadratic doesn’t intersect the x-axis. One solution would be when your vertex would be on the x-axis. Two solutions is when your quadratic intersects the x-axis twice. Can there be infinite solutions? No. It’s either 0, 1, or 2 solutions.
Can someone plzzz helpppp!!!!
Answer:
[tex] m\angle SXW =113\degree [/tex]
Step-by-step explanation:
In circle with center X, VS is diameter.
So [tex] \widehat {SWV} [/tex] is a semicircular arc.
[tex] \therefore m\widehat{SWV} = 180\degree [/tex]
[tex] \therefore (12x+7)\degree + (21x +8)\degree = 180\degree [/tex]
[tex] \therefore (33x+15)\degree = 180\degree [/tex]
[tex] \therefore 33x+15 = 180 [/tex]
[tex] \therefore 33x = 180-15 [/tex]
[tex] \therefore 33x = 165 [/tex]
[tex] \therefore x =\frac{165}{33} [/tex]
[tex] \therefore x =5 [/tex]
[tex] m\angle SXW =m\widehat{SW} [/tex]
(Measure of central angle is equal to the measure of its corresponding minor arc)
[tex] m\angle SXW =(21x + 8)\degree [/tex]
[tex] m\angle SXW =(21\times 5+ 8)\degree [/tex]
[tex] m\angle SXW =(105+ 8)\degree [/tex]
[tex] m\angle SXW =113\degree [/tex]
What is the approximate surface area of this right prism with triangular bases?
Answer:
394.2 ft
Step-by-step explanation:
7.8(9)=70.2
This is the measurement for the two triangular sides
9(12)(3)=324 This is the measurement for the three triangular sides
70.2 +324 = 394.2 APPROX
Please solve as soon as possible thank you I appreciate it!
help plz ? Mark brainliest?
Answer:
-1(3x^2) +4x-7
Step-by-step explanation:
grouping
jet travelling at 500 km/h for 4 hours.
Answer: jet travels a total of 2000 km in total
Step-by-step explanation:
If 3 inches represents 25 feet on a scale
drawing, how long will a line segment be
that represents 15 feet?
Answer:
1.8 inches
Step-by-step explanation:
1. find the # of inches that represents 1 foot.
3/25 = 0.12in
2. to find the length of the line segment that represents 15 feet, multiply 0.12 inches by 15.
0.12*15 = 1.8in
Find the product.
-7(-a 2)(-5)
Answer:
3
5
(
−
2
)
Step-by-step explanation:
Simplify then multiple the numbers
Find mZN.
62°
K
N
Need help with this question?
Answer:
118degrees
Step-by-step explanation:
Assuming we are given the following and m<k and ,<N lies on the same straight line, hence;
m<K = 62 degrees
n<N = ?
Since are on the same straight line, hence;
m<N + m<K = 180
m<N + 62 = 180
m<N = 180 - 62
m<N = 118
Hence the measure of m<N is 118degrees
'
,
What is 14 + 6 =
+11
Since, 14 + 6 = 20
Therefore, 14 + 6 = 9 + 11
dont forget to like and mark me
Answer:
31
Step-by-step explanation: