Solution :
a). The probability that the student will [tex]\text{correctly answer}[/tex] the 1st question after the 4th attempt.
P (correct in the 4th attempt)
= [tex]$(1-0.75)^3 \times 0.75$[/tex]
= 0.01171875
b). The probability that the student will [tex]\text{correctly answer}[/tex] 3 questions after 10 total attempts.
P( X = 3) for X = B in (n = 10, p = 0.75)
= [tex]$C(10,30) \times 0.75^3 \times 0.25^7$[/tex]
= 0.0031
c). The mean and the standard deviation for the number of attempts up to when the students gets all the questions correct is :
There are = 6 success, p = 0.75.
Therefore, this is a case of a negative binomial distribution.
[tex]$E(X)=\frac{k}{p}$[/tex]
[tex]$=\frac{6}{0.75}$[/tex]
= 8
So, [tex]$\sigma = \frac{\sqrt{k(1-p)}}{p}$[/tex]
[tex]$\sigma = \frac{\sqrt{6(1-0.75)}}{0.75}$[/tex]
= 1.6330
Help help help help help math math math
Check the picture below.
Answer:
x=33
Step-by-step explanation:
What is 2 plus 4 please help
Answer:
It is, 6
Step-by-step explanation:
Good luck! Have a good day!! <33
Act like you have 2 fingers up and then add 4 more.
help me please I'm stuck on this question
Answer:
1 : 3.5
Step-by-step explanation:
8 : 28 = 1 : n
n = 28 * 1 : 8
n = 3.5
1 : 3.5
Help help help help math math math
6. What is the value of the underlined digits?
504,405,623
Math
Answer:
Which one is underlined?
Step-by-step explanation:
the frist 5 is in the 100 millionth place
the frist 0 is in the 10 millionth place
the frist 4 is in the 1 millionth place
the second 4 is in the 100 thousand place
the second 0 is in the 10 thousand place
the second 5 is in the 1 thousand place
the 6 is in the 100s place
the 2 is in the 10s place
and the 3 is in the 1s place
use the formula A=LW to find the length of a rectangle when the width is 29 yards and the are is 1,044 square yards. Help please thank you guysssss
Answer:
L = 36 yd
Step-by-step explanation:
Given the area of a rectangle of 1044 yd², and a width of 29 yards:
Using the formula for finding the area of a rectangle, A = L × W, algebraically solve for the length (L):
A = L × W
where:
A = area of a rectangle = 1044 yd²
L = length of a rectangle
W = width of a rectangle = 29 yd
Solution:Divide both sides by W to isolate L:
[tex]\displaystyle\mathsf{\frac{A}{W}\:=\:\frac{L\:\times\:W}{W}}[/tex]
[tex]\displaystyle\mathsf{L\:=\frac{A}{W}}[/tex]
Substitute the values for the area and the width of a rectangle:
[tex]\displaystyle\mathsf{L\:=\frac{1044\:yd^2}{29\:yd}}[/tex]
L = 36 yd
Therefore, the length of a rectangle is 36 yards.
13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)
Answer:
I believe the answer would be A. $200.00
Step-by-step explanation:
This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.
And the current price is 4,200$ for each car.
If you add 200$ to each 4,200$ car, you get 4,400$
After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.
You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.
52,800-42,000=10,800
therefore, A.$200.00 would be the correct answer
I'm not sure if all calculations are correct, but I hope this helps! :)
The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.
To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.
Given:
Number of cars (n) = 12
Price Jay paid for each car (P) = $3,500
Current worth of each car (W) = $4,200
Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000
Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400
Difference in value = C - T = $50,400 - $42,000 = $8,400
Additional increase needed = $10,800 - $8,400 = $2,400
To find the average increase needed per car, we divide the additional increase by the number of cars:
Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200
Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.
The correct answer is A. $200.00.
To know more about average value, refer here:
https://brainly.com/question/32515383
#SPJ2
Maya solved 1/4 of a crossword puzzle before dinner and a part of it after dinner. If Maya solved 3/4 of the crossword in all, what fraction of the puzzle did she solve after dinner?
Choose the equation that matches the word problem.
Answer:2/4
Step-by-step explanation: you would just subtract 3/4 by 1/4 to get 2/4
Select all equations that do NOT have a solution.
A 8x + 4x = 0
B 6x + 2 = 4x + 2 + 2x
C 4x – 8x – 3 = 6 – 4x
D 5x + 1 = 1 – 5x
E 12x – 3 – 5x = 9 + 7x – 6
Answer:
C and E are the answers:)
Step-by-step explanation:
Hope this helps!
Answer- C,D, and E
If you plug in any number for those proplems you will get a different number a each side
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
P.E = mgh = 120N
Step-by-step explanation:
v² = u² - 2as
At the top, the velocity is = 0
0² = 4² - 2 x 10 x s
4² = 20s
s = 16/20
s = 0.8metres.
It rose only 0.8metres.
Therefore P.E = 15 x 10 x 0.8
:. P.E = 15 * 8
:. P.E = 120N
I need help on this question
Answer:
Go download CameraMath on playstore
How would 10% be written as a fraction?
1/10
10% is 10/100 which simplifies to 1/10
Answer:
1/10
Step-by-step explanation:
it would be 1/10. reduce the fraction by 10
Find the area of the shape shown below.
2 2 2 2 6
Answer:
12 units squared
Step-by-step explanation:
This requires a 3-step solution.
1. The triangle on the left:
To get an area for a triangle, you do: base times height divided by 2.
You get 4/2, which is 2 units squared for the first triangle.
2. The square:
Pretty easy, it is 2 x 2 which is 4.
3. The last triangle:
Same thing as the first triangle, 2 x 6 divided by 2.
You get 12/2 which is 6.
To get the final area: You add them up.
2 + 4 + 6, which is 12.
22. PLEASE HELP PLEASSSSSSEEEEEEEE
Answer:
me too i need help its in my HW and exam
Step-by-step explanation:
Help help help help math math math
Answer:
55º
Step-by-step explanation:
The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.
Can someone pls help really quick
Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.
65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:
Median:
Mode:
Range:
The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:
Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?
Answer:
Step-by-step explanation:
Mean: 56.95
Median: 64
Mode: 65
Range: 93
15 plates = $1000 + 8(15) = $1120
75 plates = $1000 + 8(75) = $1600
150 plates = $1000 + 8(150) = $2200
Look at the graph below. What is the y-intercept?
Answer:
- 2 is the answer:)
Step-by-step explanation:
Wherever the line crosses on the y thats the answer
Work out the area of the shaded shape.
Answer:
61
Step-by-step explanation:
You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.
Choose correct way to write 7 cents using the dollar symbol.
$.07
$ 7 ¢
$.07 ¢
$.7
Step-by-step explanation:
$.07
$.7
The answer was first one.
One pint of milk is about 560 ml. Rosa has 3.5 pints of milk. How many litres of milk does rosa have?
Help pls
My mom walks 1 mile in 14
minutes. If she walked for 56
minutes, how far did she walk?
Answer:
4 miles
Step-by-step explanation
If your mom can walk 1 mile in 14 minutes then 2 miles would take her 28 minutes 3 miles would take her 42 minutes and finally if she walked 4 miles it would take her 56 minutes.
14 + 14 + 14 + 14 = 56
14 x 4 = 56
What is the quotient ?
7 with a power of -6 over 7 with a power of 2
Answer: [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
Step-by-step explanation:
First, since the two roots (7) are the same, you subtract the exponents, which gives you -6 - 2 to get -8, giving you [tex]7^{-8}[/tex]
Next, you change [tex]7^{-8}[/tex] to [tex]\frac{1}{7^8}[/tex] or [tex]\frac{1}{5764801}[/tex]
I hope that helps :)
.872 to scientific notation
Answer:
8.72×10²
Step-by-step explanation:
8.72×10²=872which values of x are solutions to the equation below?
Answer:
-5,5
Step-by-step explanation:
move the constant to the right to make it
3x^2=33+42
3x^2=75
divide both sides by 3
x^2=25
sq root of 25 is 5 and -5
Ray had $50. he bought two shirts that cost $19 each. how much money did Ray have after buying the shirts? Alex's answer to the word problem is $29. Is Alex's answer reasonable? explain.
Answer: No, it's not
Step-by-step explanation:
19*2=38
50-38 = 12
Alex awnsered 29 which is $17.00 off.
261,256,251,...
Find the 50th term.
Find the 50th term.
Answer:
16
Step-by-step explanation:
261 - 256 - 251
-5 by step
to 50th term there is 49 -5's from 261.
261 + 49.(-5) = 261 - 245 = 16
Answer:
16
Step-by-step explanation:
The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.
General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]
where An = nth term, a1 = first term , n = number of terms and d = common difference.
The first term is 261 so a1 = 261
The common difference appears to be -5
( 256 - 261 = -5 ) and ( 251 - 256 = -5 )
so d = -5
We want to find the 50th term so n = 50
We then plug all of this in to get the 50th terms
Formula : [tex]a_n=a_1+(n-1)d[/tex]
a1 = 261 , n = 50 and d = -5
[tex]a_n=261 + (50-1)-5[/tex]
subtract 1 from 50
[tex]a_n=261+(49)(-5)[/tex]
multiply 49 and -5
[tex]a_n=261-245[/tex]
subtract 245 from 261
[tex]a_n=16[/tex]
The 50th term is 16
Distributive property to remove parentheses 4(3+w)
Answer:
12+4w
Step-by-step explanation:
Multiply 4 by both sides
The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $351.00. What was it worth a year ago?
Answer:
$270
Step-by-step explanation:
130%/100%=$351/X
(351*100)/130=$270
Find the value of x given that the area of the triangle is 8 ft2.
(x + 1) ft
(3x - 7) ft
Answer:
Step-by-step explanation:
How many time can 3/8 go into 12?
Answer:
32
Step-by-step explanation:
This is a division problem.
12 divided by 3/8.
12 ÷ 3/8 = 12/1 × 8/3 = (12 × 8)/(1 × 3) = 4 × 8 = 32
Answer: 32
