The probability distribution for the number of cells in the next generation is that there is a 0.1 probability of having zero cells if the original cell dies and a 0.9 probability of having two cells if the original cell splits and both daughter cells survive.
Explanation:To find the probability distribution for the number of cells in the next generation, we analyze the outcomes of a single cell which can either die with a probability of 0.1 or split into two cells with a probability of 0.9. Since each cell behaves independently, we use the product rule of probability for each scenario.
There are two possible outcomes for a single cell:
The cell dies (probability 0.1)The cell splits into two cells (probability 0.9).If the initial single cell splits, the next generation will consist of two cells. These two cells will then independently either die or split with the same probabilities as mentioned above. The probability distribution for the number of cells in the next generation is therefore:
Zero cells: This only happens if the initial cell dies, which has a probability of 0.1.One cell: This cannot happen because a cell either dies or splits into exactly two cells.Two cells: This occurs if the initial cell splits and neither of the two new cells dies, which has a probability of 0.9 (since we assume that the probability of both of the daughter cells surviving and splitting is included in the 0.9 probability).Here, the sum of these probabilities adds to 1, meaning no other outcomes are possible within the scope of this single-generation model.
Riley worked 5 hours on Monday, 3 hours on Tuesday, and 2 hours on Wednesday. He rounded the hours to 5, 3, and 2 before adding them together to get 10 hours. Did he make a high or low estimate?
Answer:
It is low... not high :)
Solve the equation for the red variable.
A tomato plant grew an average of 0.06 m per day. How many days did it take for the plant to grow a total of 0.96 m. Again, I'm super sorry
how do you find the power of 35,036 1/3
Final answer:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). The cube root of 35,036 is approximately 32.41.
Explanation:
To find the power of 35,036 to the 1/3 exponent, you can use the formula (a^b)^c = a^(b*c). In this case, a = 35,036 and b*c = 1/3. So, the power of 35,036 to the 1/3 exponent is 35,036^(1/3).
Now, to evaluate this expression, you can find the cube root of 35,036 using a calculator. The cube root of 35,036 is approximately 32.41. Therefore, the power of 35,036 to the 1/3 exponent is approximately 32.41.
Solve for s. 23s+56s=21 Enter the answer, as a whole number or as a fraction in simplest form, in the box.
A student worked 46 hr during a week one summer the student earned $4.90 per hour for the first 40 hr and $7.35 per hour for overtime how much did the student earn during the week?
Answer:
240.10 dollars
Simon has 12 CDs. He burns 3 copies of each. How many CDs did Simon make?
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11 ? incorrect answer: Neither ordered pair is a solution..(3, −8) is a solution to the equation but not (4, 4)
.
( 3, −8 ) is a solution to the equation but not ( 4, 4 ) .
Neither ordered pair is a solution.
Neither ordered pair is a solution.
Both ordered pairs are solutions.
Both ordered pairs are solutions.
(4, 4)
is a solution to the equation but not (3, −8) .
Answer:
both ordered pairs are solutions
Step-by-step explanation:
Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is . If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is . NextReset
The point on the line that represents the distance Peter walks in an hour with respect to time is (60 minutes, 6600 meters).
What is the distance?Distance is defined as the product of speed and time.
The slope of the line representing the relationship between time and distance is the speed at which Peter is walking.
In this case, the slope is 330 meters / 3 minutes = 110 meters/minute. This means that Peter is walking at a speed of 110 meters per minute.
If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is (60 minutes, ?). To find the distance that Peter walks in an hour, we can use the formula for the distance traveled: distance = speed x time.
Plugging in the values, we get distance = 110 meters/minute x 60 minutes = 6600 meters.
Therefore, the point on the line that reflects Peter's walking distance in an hour in relation to time is (60 minutes, 6600 meters).
Learn more about the distance here:
brainly.com/question/13269893
#SPJ2
After m months, the height of a plant is 10+3m millimeters. How tall is the plant after eight months? Three years?
The difference between -7/9 and 4/9 is
Hello!
Your answer is
-1 2/9
the ratio of boys to girls in a class is 5:4 there are 36 students in the class how many students are girls
Final answer:
To find the number of girls in the class, you calculate the value of each part of the ratio by dividing the total number of students by the sum of the ratio parts, and then multiply the result by the number of parts for girls, which gives us 16 girls.
Explanation:
The question involves finding the number of girls in a class where there is a given ratio of boys to girls and a total number of students. In this case, the ratio of boys to girls is 5:4, and there are 36 students in the class. To solve for the number of girls, we can use the concept of ratios. First, combine the parts of the ratio to find the total parts in the ratio, which is 5 + 4 = 9 parts. Each part is then equal to the total number of students divided by the total parts, which is 36 students \/ 9 parts = 4 students per part. Since the ratio of boys to girls is 5:4, we know that girls constitute 4 parts of the total. Thus, the number of girls can be calculated by multiplying 4 (the number of parts for girls) by 4 students per part, resulting in 16 girls in the class.
Joe has a savings account and a credit card. He has $422 saved in his savings account and has purchased $484 worth of merchandise on his credit card. Use positive and negative numbers to explain the sitiuation. Is Joe's overall balance represented by a positive or negative number? Justify your answer.
When the dimensions of a cube are reduced by 4 inches on each side, the surface area of the new cube is 864 square inches. What where the dimensions of the original cube?
Answer:
The dimensions of the original cube are 16 in x 16 in x 16 in
Step-by-step explanation:
Let
x ----> the length side of the original cube
The surface area of the cube is equal to
[tex]SA=6b^2[/tex]
where
b is the length side of the cube
we know that
The dimensions of a cube are reduced by 4 inches on each side and the surface area of the new cube is 864 square inches
so
The length side of the new cube is
[tex]b=(x-4)\ in[/tex]
substitute in the formula of surface area
[tex]SA=6(x-4)^2[/tex]
[tex]SA=864\ in^2[/tex]
so
[tex]6(x-4)^2=864[/tex]
Simplify
[tex](x-4)^2=144[/tex]
take square root both sides
[tex](x-4)=(+/-)12[/tex]
[tex]x=4(+/-)12[/tex]
[tex]x=4(+)12=16\ in[/tex]
[tex]x=4(-)12=-8\ in[/tex] ----> the length side cannot be a negative number
therefore
The dimensions of the original cube are 16 in x 16 in x 16 in
To find the dimensions of the original cube, set up an equation using the surface area of the new cube and solve for the original side length.
Explanation:To find the dimensions of the original cube, we need to work backwards.
First, let's find the surface area of the original cube. If we reduce each side of the cube by 4 inches, the new side length would be 'x-4'. The surface area of the new cube is given as 864 square inches. So we have the equation: (x-4)^2 = 864 Solving this equation, we find that the side length of the original cube is 22 inches.
Learn more about Mathematics here:
https://brainly.com/question/27235369
#SPJ3
find 1/2 of 5 less than 10
If a ray divides an angle into two complementary angles then the original angle is a right angle
Answer:
true
Step-by-step explanation:
$1.12 for 8.2 ounces? Unit Rate
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
(1.25, ∞)
(3.25, ∞)
(–∞, 1.25)
(–∞, 3.25)
The interval over which the function is increasing is:
(1.25,∞)
Step-by-step explanation:We are given a modulus function by:
[tex]y=|1.6x-2|-3.2[/tex]
From the graph of the function we see that the function is first decreasing in the interval (-∞,1.25) and then it increases continuously in the interval (1.25,∞) and goes to infinity.
Hence, the answer is:
(1.25, ∞)
Answer:
A. (1.25, ∞)
Step-by-step explanation:
what is the measure of <rst
The measure of the angle ∠RST will be 81°. Then the correct option is B.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the central angle of the sector of the circle is 162°.
Then the measure of the angle ∠RST is half of the central angle. Then we have
∠RST = 162° / 2
∠RST = 81°
The measure of the angle ∠RST will be 81°. Then the correct option is B.
More about the circle link is given below.
https://brainly.com/question/11833983
#SPJ5
Carly sold 18 rolls of wrapping paper. That is 2 times as many rolls as Jasmine sold, How many rolls of wrapping paper did they sell all together?
In this exercise we want to know how many rolls were sold by two people, so we have to:
27 rolls
To start the calculations we have to organize the information given in the text as:
Carly sold 18 rolls. Jasmine sold 9 rolls.So now solving this problem we have:
[tex]TOTAL: 18 + 9 = 27 rolls[/tex]
See more about equations at brainly.com/question/2263981
Which equation is equivalent to 2/3x - 5/6 = -5/12x + 1/4 ?
A. -5/6 = 1/4 X +1/4
B. 2/3 X = -5/12 X -7/12
C. 1/4 X-5/6 = 1/4
D. 2/3 X -13/12 = -5/12 x
Answer:
The answer is D
Step-by-step explanation:
2/3x-5/6=5/12x+1/4
x=1
the only option that x=1 is
2/3x-13/12=-5/12x
HELP ME PLEASE!! MATHEMATICS
Andy used 1\6 of a can of paint to cover 1\2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form.
1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that,
Andy used 1/6 of a can of paint to cover 1\2 of a wall.
Let x be the number of can of paint Andy use to paint the whole wall.
1/6 = 1/2 of the wall
2/6 = 2/2 = 1 whole wall
x = 2/6 = 1/3
Thus, 1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Hiiiii pleaseeeee helppppp understand how to do this I want to understand.
Your sports drink bottle is 5/6 full. After practice, the bottle is 3/8 full. Write the difference of the amounts after practice and before practice. Write your answer as a fraction in simplest form.
Answer:
its -11/24
Step-by-step explanation:
21 and 61 which is composite and which is prime
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
explain how finding 7x20 is similar to finding 7x2,000. then find each product
Answer:
[tex]7\times 20=140[/tex]
[tex]7\times 2000=14000[/tex]
Step-by-step explanation:
To find : Explain how finding [tex]7\times 20[/tex] is similar to finding [tex]7\times 2,000[/tex] then find both products ?
Solution :
First we find the product of [tex]7\times 20[/tex]
[tex]7\times 20=140[/tex] .....(1)
Now, to find the product of [tex]7\times 2,000[/tex]
We can re-write the product as,
[tex]7\times 2,000=7\times 20\times 100[/tex]
Using (1),
[tex]7\times 2,000=140\times 100[/tex]
[tex]7\times 2,000=14000[/tex]
It is similar as the difference is about the multiple of 10.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
Which number sentence correctly compares the absolute values of the changes in Jerome’s bank balance?
A. |-$85| < |$120|
B. |-$85| < |-$120|
C. |$85| > |-$120|
D. |$0| > |$120|
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
At the beginning of the year, Jerome had a balance of $0 in his bank account. He later deposited $120 into the account and then withdrew $85 from it.
A value when substituted in the mode, then irrespective of its a positive value or a negative value, the output will be always positive, therefore, the output will be always positive.
Hence, the number sentence correctly compares the absolute values of the changes in Jerome’s bank balance is |-$85| < |$120|.
Learn more about Inequality:
https://brainly.com/question/19491153
#SPJ2
What is the best estimate for the following expression: 6.79 - (-3.2)?
10
9
4
1