Answer:
(a) 0.000061
(b) 0.000061
(c) 0.209
Step-by-step explanation:
An array of 14 bits is equally likely to be 0 or 1.
That is, P (0) = P (1) = 0.50.
(a)
Compute the probability that all bits are 1s as follows:
[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 1s is 0.000061.
(b)
Compute the probability that all bits are 0s as follows:
[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent
[tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]
Thus, the probability that all bits are 0s is 0.000061.
(c)
Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:
Define X as the number of bits that 1s.
Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.
The value of P (X = 7) is:
[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]
[tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]
Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.
I need help with this please
Answer:
idk
Step-by-step explanation:
It’s D right? Let me know if I’m wrong.
Answer:
yes D is right... brainliest plz
what is the area of a rectangles with the side lengths 5 inches and 4/3 inches?
Answer: 20/3 square inches
Step-by-step explanation:
Area = length*width
length = 5 in.
width = 4/3 in.
A = 5 * (4/3) = 20/3 in^2
-5x + 9 = -3x + 1 solve the equation
Answer:
x=4
Step-by-step explanation:
Step 1: Add 3x to both sides.
−5x+9+3x=−3x+1+3x
−2x+9=1
Step 2: Subtract 9 from both sides.
−2x+9−9=1−9
−2x=−8
Step 3: Divide both sides by -2.
−2x/−2=−8/−2
20 points
A parallelogram has one pair of parallel sides.
True or false
If a quadrilateral is a rectangle then it is also a square. *
True or False
A parallelogram always has four congruent sides.
True or False
If a quadrilateral is a square then it is also a rectangle. *
True or False
If a quadrilateral is a trapezoid then it is also a parallelogram.
True or False
Answer: true
Step-by-step explanation:
Step-by-step explanation:
"A parallelogram has one pair of parallel sides."
False. A parallelogram has two pairs of parallel sides.
"If a quadrilateral is a rectangle then it is also a square."
False. A rectangle isn't necessarily a square. Rectangles are only squares when all four sides are equal.
"A parallelogram always has four congruent sides."
False. Parallelograms have two pairs of congruent sides. All four sides aren't necessarily congruent.
"If a quadrilateral is a square then it is also a rectangle."
True. All squares are rectangles.
"If a quadrilateral is a trapezoid then it is also a parallelogram."
False. Trapezoids have only 1 pair of parallel sides, and parallelograms have 2 pairs of parallel sides.
forty percent of the first 20 whole numbers are prime. how many of the first 20 whole numbers are prime
Answer:
there are 8 prime numbers before 20
Step-by-step explanation:
forty percent of 20 is:
40% × 20=
[tex]\frac{40}{100}[/tex]×20= 8
so the number of whole prime numbers before 20 are 8.
They are:
2,3,5,7,11,13,17,19.
Answer:
8
Step-by-step explanation:
The square root of 144
Answer:
12
Step-by-step explanation:
Which of the following statement is false? 8 < 8 2>8 2<8 2<8 2<8
Answer:
8<8
2>8
Step-by-step explanation:
yw:))
17. Create an equation that requires distribution on both sides to solve and has a solution of -2.
Answer:
googl really helps sorry
Marjorie consumed 1.5 gallons of water in one day. How many milliliters are equal to 1.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters? (3 points)
a.5.6775 milliliters
b.567.75 milliliters
c.5,677.5 milliliters
d.56,775 milliliters
B
Step-by-step explanation:
A lil help please T.I.A
Answer:
A. x=32 and x=o
YOUR WELCOME
Answer: A. x = 32 and x = 0
Explanation: Solve using the quadratic formula
Learn more: https://brainly.com/question/17177510
Line a is parallel to line t solve for x
Answer:
Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.
Step-by-step explanation:
a laptop computer is purchased at $1,100 after each year the resale value decreases by 30% what will the resale value be after 3 years
Answer:770
Step-by-step explanation:30% of 1100 is 330 330-1100=770
Free 100 points What is the unit rate for the ratio 78 laps ? 26 miles O A. 78 laps =78 26 miles : 26 1 lap 1 mile 39 laps 0 78 laps : 2 26 miles + 2 B. 13 miles C. 1 mile 26 miles - 26 78 laps :78 1 lap D. 78 laps - 26 26 miles + 26 3 laps 1 mile
Answer:
A
Step-by-step explanation:
It’s the answer I did the math
The unit rate for the ratio is 3 laps per miles.
Given that the ratio is 78 laps/26 miles.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Now,
Unit rate =78 laps/26 miles
Divide both the numerator and the denominator by 26.
So, 78 laps÷26 miles/26 miles÷26 miles
= 3 laps/miles
Therefore, the unit rate for the ratio is 3 laps per miles.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?
Answer: the answer is C
Step-by-step explanation:
i did it
What do numbers have a difference of 8
Answer:
20-12=8
here it is the difference is 8.
what is the slope???
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%
Complete question :
shopkeeper sells one machine for 990 re at a profit of 10% and another machine for 1960 at a loss of 2%. What is his gain or loss percent
Answer:
1.72%
Step-by-step explanation:
Given that :
MACHINE 1:
Sales price = 990
Profit percent = 10%
The cost price of the machine (x) :
10% profit of x :
(100 + 10)% of x = 990
110% of x = 990
1.1x = 990
x = 990/1.1
x = 900
MACHINE 2:
Sales price = 1960
Loss on sale = 2%
Cost price (x) :
(100 - 2)% of x = 1960
98% x = 1960
0.98x = 1960
x = 1960/0.98
x = 2000
Total amount realized from sale = (990 + 1960) = 2950
Total cost of production = (2000 + 900) = 2900
Profit Made = (2950 - 2900) = 50
% profit:
(Profit / cost of production) * 100
(50 / 2900) * 100%
0.0172413 * 100%
profit % = 1.72
The profit made is 50
Cost price of first machine will be:
= 100/(100 + 10) × 990
= 100/110 × 990
= 100 × 9
= 900
Cost price for second machine will be:
= (100 - 2) × x = 1960
= 98% × x = 1960
= 0.98x = 1960
x = 1960/0.98.
x = 2000
The total cost price = 900 + 2000 = 2900
Total selling price = 990 + 1960 = 2950
Therefore, profit will be:
= Selling price - Cost price .
= 2950 - 2900
= 50
Read related link on:
https://brainly.com/question/17698813
Mrs. Simon is teaching a 5th grade class. She is standing 6 meters in front of Britney. Lisa is sitting to Britney's right. If Lisa and Mrs. Simon are 10 meters apart, how far apart are Britney and Lisa?
Answer:
they are 4 meters apart from each other i think im not so sure
During the summer, Abrielle is a cashier at a grocery store and Zane serves ice cream. To show their earnings, Abrielle makes a graph and Zane makes a table. Which statement is true?
Answer:
The slope of Zane is 18.50/2 = 9.25
Subtract both slopes to find the true statement.
10.5 - 9.25 = 1.25
The correct statement is:
Abrielle earns $1.25 more than Zane.
Answer:
what the person on the top said. Their right.
3(2h + 7) = 4(9 – h)
Answer:
h=−2
Step-by-step explanation:
The function f(x) = 2x – 3 is graphed below.
What is the y-intercept?
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
Chau rented a truck for one day. There was a base fee of $20.99, and there was an additional charge of 79 cents for each mile driven. Chau had to pay $130.80 when he returned the truck.
For how many miles did he drive the truck?
Answer:
Chau drove 139 miles
Step-by-step explanation:
Knowing how much Chau spent at the end makes the question much much easier. So what you want to do is take of the base fee ($20.99) off the final amount he had to pay.
$130.80 - $20.99 = $109.81
Now you divide $109.81 by the additional charge ($0.79)
Change the divisor (0.79) to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend (109.81) the same, 2 places to the right.
We then have the equations:
10981 ÷ 79 = 139.000
and therefore:
109.81 ÷ 0.79 = 139.000
Chau drove 139 miles.
Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much
PLEASE HELP ME OK SO WHAT IS X/5 + 6 <2
Answer:
x < -20
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] + 6 < 2
subtract 6 from both sides of the equation
[tex]\frac{x}{5}[/tex] < 2 - 6
[tex]\frac{x}{5}[/tex] < -4
multiply both sides of the equation by 5
x < -4 * 5
x < -20
A painting was sold for 179.4 million dollars, Write this amount in scientific notation
Answer:
[tex]1.794 \times {10}^{2} [/tex]
(in scientific notation)
whats 8 more than the product of X and 8
Answer:
8X +8
Step-by-step explanation:
Pls help i dont understand :( will give Brainliest + 25 Points
Answer:
D
Step-by-step explanation:
Find the slope using the formula [ y2-y1/x2-x1 ]
2-2/-5-3
0/-8
0
Find the y-intercept using slope-intercept form [ y = mx + b ] and (3, 2)
y = 0x + b
2 = 0(3) + b
2 = b
Put everything we know into the final form.
y = 0x + 2
y = 2
Best of Luck!
change in y/change in x
y2-y1/x2-x1
2-2/-5-3
0/-8 = 0
The slope is 0 - the answer is d
because when 0x = 0, then you are left with y and only y
when the equation is x=, then the equation is undefined
but, when an equation is y=, that the slope is 0
Subtract 1 4/5 from 4 2/3 =?
Answer:
2.86666667
Step-by-step explanation:
Answer:
1 18/25
Step-by-step explanation:
4 2/3-1 4/5
=14/3-9/5
LCM is 15
=(70-27)/15
=43/25
You never scale down to write a complex rate as a unit rate. True or false?
Answer:
True
Step-by-step explanation:
We should use simple units while doing any type of calculation, using simple units make it easy for other people to kn ow the calculation, on the contrary if we use complex units then it will make the calculation more complicated thereby increasing the chances of mistake.