Answer:
0.0107
Step-by-step explanation:
Given that:
Probability of success in choosing a true - false answer :
(Number of correct answers / number of options)
= 1/2 ; p = 0.5
Number of questions = number of trials, n = 10
Probability of having atmost one incorrect answer :
p(incorrect answer) = 0.5
P(x ≤ 1) = p(0) + p(1)
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
When x = 0
P(x = 0) = 10C0 * 0.5^0 * 0.5^10
P(x = 0) = 1 * 1 * 0.0009765625
P(x = 0) = 0.0009765625
When x = 1
P(x = 1) = 10C1 * 0.5^1 * 0.5^9
P(x = 1) = 10 * 0.5 * 0.001953125
P(x = 0) = 0.009765625
P(x ≤ 1) = 0.0009765625 + 0.009765625
P(x ≤ 1) = 0.0107421875
Solve for n in each of the following equations:
(a)
n^ Pbase2=110
Answer:
[tex]n = 11[/tex]
Step-by-step explanation:
Given
[tex]^nP_2 = 110[/tex]
Required
Solve for n
[tex]^nP_2 = 110[/tex]
Start by applying permutation formula:
[tex]\frac{n!}{(n-2)!} = 110[/tex]
Expand the numerator
[tex]\frac{n*(n-1) * (n-2)!}{(n-2)!} = 110[/tex]
(n-2)! cancels out
[tex]n*(n-1) = 110[/tex]
Expand
[tex]n^2 - n = 110[/tex]
Subtract 110 from both sides
[tex]n^2 - n -110= 110-110[/tex]
[tex]n^2 - n -110= 0[/tex]
Expand:
[tex]n^2 - 11n +10n-110= 0[/tex]
Factorize:
[tex]n(n-11) +10(n-11)= 0[/tex]
[tex](n+10)(n-11) = 0[/tex]
This implies that:
[tex]n + 10 = 0\ or\ n - 11 = 0[/tex]
[tex]n = -10\ or\ n = 11[/tex]
But n can't be negative.
So:
[tex]n = 11[/tex]
CAN ANYBODY HELP ME PLZ
Answer: isosceles scalene scalene and equalateral
Step-by-step explanation:
what is 1/3 of 1/4 jkkkkkk
Step-by-step explanation:
(1/3)1/4
1/12
i guess this is it lol
The picture above
The picture above
The picture above
Answer:
X is equal to 12°
Step-by-step explanation:
From the picture we can make the following equation...
90° = 3x + (x + 42°)
90° = 3x + x + 42°
4x = 90° - 42°
4x = 48°
x = 12°
Which letter has line symmetry?
Q
P
L
J
M?
Answer:
M
Step-by-step explanation:
because it is equal on either side if you cut a line down the middle of the letter
find the value of p in parallelogram
Answer:
p = 11
Step-by-step explanation:
In a parallelogram BA and CD are parallel so you would set the problem up 7p = p +66
- p both sides
6p = 66
divide 6 both sides
p = 11
one morning the outside temperature was 14 Fahrenheit fine on the outside temperature had risen 18 Fahrenheit Play Midnight. By temperature had dropped by 6 Fahrenheit what was the outside temperature at midnight in degrees Fahrenheit
Answer:
14x18;16123
Step-by-step explanation:
Eight more than four times a number is 28.
Choose the correct answer below.
A. 4x - 8 = 28
B. 4x + 8 = 28
C. 8x + 4 = 28
D. 8x - 4 = 28
E. 4(x + 8) = 28
Malcolm is driving 1, 273 miles from Wichita to Charleston for a family reunion. He drives 418 miles the first day and 384 miles the second day. Round each distance to the nearest ten and estimate about how many miles Malcolm has left to drive.
400 miles
500 miles
470 miles
480 miles
Answer:
Step-by-step explanation:
418 to the nearest ten is 420
384 to the nearest ten is 380
1273 to the nearest ten is 1270
1270-(420+380)=1270-800=470 miles
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
3
Mariah fills 7 pillows with feathers. Each pillow weighs
pounds. What is the total weight of the 7 pillows?
Which of the following solutions solves the system?
4x + 3y = 19
7x - 6y = -23
Answer:
4x + 3y = 19 this is it so i think A
Step-by-step explanation:
help please please pleaseee!!!
(check the picture)
Answer:
the answer is x < - 6
Step-by-step explanation:
see the pictures for the step by step explanation
i hope this helps
if you need more help understanding algebraic inequality's
if this helps please give brainliest
and 5 stars
Also share this answer so it can help others
thanks,
skymillie28
Expert
What does the inverse of a positive number mean?
Answer:
When it comes to positive and negative numbers, you can think of the inverse as being the "opposite." For example, for 5, the inverse is -5.
James earned 96$ by mowing his neighbor yard. He spent 50% of his money on a video game. He is going to save 75% of his remaining money. How much would he save
Answer:
36
Step-by-step explanation
Subtract 50% from $96.00
96.00 - 48.00 = 48.00
Find out what is 75% of 48
48.00 - 75% = 36
URGENT HELP ONLY ALLOW RIGHT ANSWER
Answer:
(2,9)
That's where the maximum is at making it the vertex
I'd appreciate it if you gave me branliest
List the number from least to greatest.
Answer:
1. $1430
2. $930
3. $1070
4. 105
96
-20
-76
-560
I need help in this question please help me!:)
Answer:
(0,4) is the y intercept for function A
(0,3) is the y intercept for function B
so function A has the greatest y intercept
Step-by-step explanation:
2, 20, 36, 50 is a prefect square
Answer
36 is a perfect square
50 is not a perfect square
20 is not a perfect square
2 is not a perfect square
So, the answer is 36
Hope this helps! <3
URGENT WILL GIVE BRAINLIEST
Answer:
ok
Step-by-step explanation:
Need help extra points and Mark brainlist
Answer:
i think the answer would be 8 2/5
Step-by-step explanation:
but i also need to know what the other uestions are saying
What is the difference between an expression and an equation?
Group of answer choices
A. Expressions have an equal sign and equations do not.
B. Equations have an equal sign and expressions do not.
C. They are the same.
Answer:A
Step-by-step explanation:
Estimate fraction sum and differences ⅛ + ¼
Answer:
3/8
Step-by-step explanation:
Well 1/8 is 1/2 of 1/4, so if you were to add 1/8 to 1/4 you would get 3/8. The different would be 2/8. Those are exact answers not estimates.
Helppppp me please i need the answer fast <3
Answer:
5
Step-by-step explanation:
Answer:
|5| = 5
Step-by-step explanation:
Absolute value can be seen as the distance between a number and zero. It is always a positive number. 5 is 5 units away from 0. |5| = 5, and |-5| would also be 5. It's important not to get absolute value confused with opposites.
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 2:5
Surface area: 80
volume: 352
Surface area: ?
volume: ?
Answer:
Surface area: 500
Volume: 5500
Step-by-step explanation:
Scale factor: 2:5
This means that the dimensions of the larger figure are 5/2 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/2) by the original surface area(80). So
[tex]S = (\frac{5}{2})^2 \times 80 = \frac{25}{4} \times 80 = 25 \times 20 = 500[/tex]
Volume:
The volume is found multiplying the cube of the change(5/2) by the original volume(352). So
[tex]S = (\frac{5}{2})^3 \times 352= \frac{125}{8} \times 352 = 125 \times 44 = 5500[/tex]
Is (87 – 12) equivalent to 2y – 12?
Answer:
no
Step-by-step explanation:
40,-20,10,-5,__,__,__
What are the next three numbers.
Answer:
2.5, -1.25, 0.625
Step-by-step explanation:
Given m||n, find the value of x.
Answer:
57 degrees
Step-by-step explanation:
Same side interior angles are supplementary which means they both equal 180 degrees.
Extending Patterns
What is the value of y when x = 0?
When x = 0, y =
pls help me
Answer:I believe y would also be 0
Step-by-step explanation: so sorry if I’m wrong but good luck! :)
Answer:
the person above me is correct!
Step-by-step explanation:
0 2021 Edg
when the input is n followed by +2×3 what is the output
Answer:
To find output try adding 1.5 to each input number, hope this helped.
Step-by-step explanation: