Answer:
243
Step-by-step explanation:
I think it is just 27 times 9
Answer:
243
Step-by-step explanation:
In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the bits are independent.
(a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item b) of the question statement
(c) What is the probability that exactly 7 bits are 1s and 7 bits are 0s? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item c) of the question statement
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 I currently have a c trying to make up some work
Answer:
y=(-2)
Step-by-step explanation:
x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer
The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.
Answer:
5,000,000,000 (see below)
Step-by-step explanation:
Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.
For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.
Integers also include 0.
Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.
All whole numbers are integers.
So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.
[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.
5 × 1,000,000,000 = 5,000,000,000
5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.
joaquin has been working on homework for 3 1/2 hours. if each assignment takes him 1/4 of an hour, how many assignments has he completed?
Convert 3 1/2 to a improper fraction:
3 1/2 = 7/2
Divide 7/2 by 1/4:
7/2 ÷ 1/4
7/2 × 4/1
28 / 2
= 14
Joaquin has finished 14 assignments
Answer:
14
Step-by-step explanation:
It is necessary to find the times when the temperature is 8° F. Which of the following is the correct equation to do this
(A) 9 - 1 = 8
(B) 9+2 = 8
(C) 9-12 = 8
Find the total surface area of this cuboid,
5 cm
4 cm
6 cm
out of fifty students,34 joined the journalism class and 25 joined robotics club.if 16 students joined both clubs,how many students are in neither club?how many are in either club? show the venn diagram
Answer:
Step-by-step explanation:
Total student=50
35 -> j.
25 -> r.
16-> j.+r.
35-16=19 students joined j.
25-16=9 joined r.
50-19+9
50-28=22
Awnser is 22
It will be nice if you give me brainliest. Good luck!
50 twenties minus 1 twenty
-2/7 x 3/7 as fraction
Answer:
-6/49
Step-by-step explanation:
this is the answer it is very easy
The variables y and x have a proportional relationship, and y = 25 when x = 60.
What is the value of x when y = 30?
A. x = 25
B. x = 36
C. x = 50
D. X= 72
Answer:
A
Step-by-step explanation:
A. x = 25
Can someone please help, ty!!
Answer:
B i think
Step-by-step explanation:
Find the value of a. Then find the angle measures of the quadrilateral.
Answer:
a = 60
Step-by-step explanation:
Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.
The equation would be 2a°+a°+a°+2a° = 360°.
Then you would simplify it to 6a° = 360.
You would divide 6 on both sides to get to a° = 60.
Therefore, the value of a is 60.
Hope this helped! If not, please let me know! <3
Calculating Rate of change
Answer/Step-by-step explanation:
We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)
Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]
Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]
Express the ratio as a fraction in simplest form.
7 kilograms to 400 grams
Answer:
35:2
Step-by-step explanation:
7000 and 400 are each multiples of 100. 7000÷100=70
400÷100=4
70/4 is left
divide each by 2 as it is the only number that can go both in to 70 and 4
What is 8/23/25 as decimal
9514 1404 393
Answer:
0.01_3913043478260869565217...
Step-by-step explanation:
The value of 8/23/25 is a repeating decimal with a repeat of 22 digits.
[tex]\dfrac{8}{23}\div25=0.01\overline{3913043478260869565217}[/tex]
Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.
Which is the greater volume: a six-pack or 2 liters?
A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?
Answer:
List some of the given data:
1 L = 33.8 oz.
A) Which one has more volume?
In a six-pack, each can has 12 oz.
Then in total, this is:
6*12oz = 72oz.
In one liter we have 33.8 oz.
Then in two liters, we have two times that:
2L = 2*33.8 oz = 67.7 oz.
Then the sixpack has more volume.
B) Which one has more value?
Here we must divide the volume by the price:
Six-pack:
Volume = 72 oz.
Price = $1.37
Ratio = 72oz/$1.37 = 52.55 oz/$.
2L bottle:
Volume = 67.7 oz
Price = $1.31
Ratio = 67.7oz/$1.31 = 51.68 oz/$.
You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.
Anybody Know This. ?
Answer second option
Step-by-step explanation:
Answer:
the 2nd
Step-by-step explanation:
one is the one and only
What’s 3 over 4 plus 1 over 8
Answer:
7/8
Step-by-step explanation:
3/4+1/8
give common denominators
6/8+1/8
add like terms
7/8.
Answer:
3/4 +1/8=
6/8+1/8=7/8
In the triangle below, what is the length of the side opposite the 60° angle?
Answer:
3
Step-by-step explanation:
Answer:
3 sqrt3
Step-by-step explanation:
AP3X
You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?
Answer:
$1050
Step-by-step explanation:
$600*15%*5=$450 interest
interest+borrowed=loan
$450+$600=$1050
I don't know the monthly payment sorry
Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?
Answer:
his balance will be 51.25 rs.
Step-by-step explanation:
200 - 148.75 = 51.25
Answer:
51.25
Step-by-step explanation:
200-148.75
=51.25
use long division by dividing 78 and 3
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:
3 ⟌ 7 8
Step 2:
The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:
2
3 ⟌ 7 8
Step 3:
Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.
2
3 ⟌ 7 8
6
Step 4:
Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.
2
3 ⟌ 7 8
- 6
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
2
3 ⟌ 7 8
- 6
1 8
Step 6:
The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:
2 6
3 ⟌ 7 8
- 6
1 8
Step 7:
Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:
2 6
3 ⟌ 7 8
- 6
1 8
1 8
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.
2 6
3 ⟌ 7 8
- 6
1 8
- 1 8
0
1) Paula buys 5 sandwiches. Each sandwich is the same price. She has a coupon for $2 off the entire purchase. She pays a total of $50.
• Which equation can be used to find the price, x, of one sandwich?
5(x + 2) = 50
5x + 2 = 50
5(x − 2) = 50
5x – 2 = 50
Answer:
5x - 2 = 50
Step-by-step explanation:
The coupon takes $2 OFF the entire purchase, so we eliminate answers A and B. If we take away $2 off the price of each sandwich, then that would be a $10 coupon, so we eliminate C. The only answer left is D, so D is the answer.
Answer:
5x - 2 = 50
I READY!!!
holpe it help
Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)
Answer:
-15
Step-by-step explanation:the
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
A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.
9514 1404 393
Answer:
2
Step-by-step explanation:
The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.
A scale factor of 2 could be used to get the final rectangle.
Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?
A) Multiply each side by 3/2.
B) Multiply each side by −3/2.
C) Multiply each side by −2/3.
D) Add 2/3x to each side.
Solve the equation.
A) x = 10
B) x = 6
C) x = −10
D) x = −12
Sam was asked to place the numbers shown below in order from greatest to least.
5, -0.5, 4, 350%, -13, 4.7, -66, 1.22
ANSWER ASAP
Answer:
5 > 4.7 > 4 > 350% > 1.22 > -0.5 > -13 > -66
Step-by-step explanation:
40% of 250 is equal to 60% of what number
Answer:
24
Step-by-step explanation:
250% × ? = 60
? =
60 ÷ 250% =
60 ÷ (250 ÷ 100) =
(100 × 60) ÷ 250 =
6,000 ÷ 250 =
24
Write as a product:
25a^2−0.01b^10
Answer:
(5a + 0.1b^5)(5a + 0.1b^5)
Step-by-step explanation:
25a^2 − 0.01b^10 =
This follows the pattern: x^2 - y^2 = (x + y)(x - y)
= (5a + 0.1b^5)(5a + 0.1b^5)