Under ideal conditions a certain bacteria population is known to double every three hours. Suppose that there are initially 100 bacteria. Estimate the size of the population after 20 hours.
Answer:
the estimation of the size of the population after 20 hours is 10159
Step-by-step explanation:
The computation of the size of the population after 20, hours is shown below;
= 100 2^(20 by 3)
= 10159.36
If we divide 20 by 3 so it would give 6.66 that lies between 6 and 7
So the estimation of the size of the population after 20 hours is 10159
hence, the same is relevant
Answer:
The answer is "10159"
Step-by-step explanation:
Every 3 hours the population doubles, with an initial population of 100.
[tex]\to P(t) = 100 \times 2^{\frac{t}{3}}[/tex]
[tex]P(t)= \text{The population of bacteria}\\\\ t = \text{time in hours} \\[/tex]
when t=20
[tex]\to p(20)= 100 \times 2^{\frac{20}{3}} \\[/tex]
[tex]= 100 \times 101.593667\\\\ =10159.3667[/tex]
What is the slope of the line whose equation is
2y = 5x + 4?
1) 5 2) 2 3) 5/2 4) 2/5
Answer:
3) 5/2
Step-by-step explanation:
2y = 5x + 4
y = 5/2x + 2
slope = 5/2
(y = mx + b, m being slope, b being y intercept)
Sam and Marsha both solved the prime factorization of the number
120 and the table below shows their results. Who is INCORRECT? *
if you could also help with the question on the bottom please do.
Answer:
Sam is incorrect
Step-by-step explanation:
I am not a dependable source
A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.
Answer:
She picked white because the board is white
Answer:
24.24... percent chance
Step-by-step explanation:
Because 6/33 is 24 percent and 6 is the amount of red shirts
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?
Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is letter D.
Write the rule for the transformation.
Help me I'm too tired to think and this is easy.
Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)
Answer:
equal to
Step-by-step explanation:
two negatives equals positive
Answer:
Equal
Step-by-step explanation:
Double negative equals a positive. Gn
How many 1/2cups are in 7/8cups
Answer:
Step-by-step explanation:
7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply
7/8 * 2 = 14/8 = 1 3/4 <==
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
Learn more about the distance-time graph here;
https://brainly.com/question/19730285
Trina had 50 eggs. After using some of her eggs to make 12 batches of brownies, she has 14 eggs remaining. How many eggs did Trina use in one batch of brownies?
Step-by-step explanation:
eggs used : 50-12= 38 eggs
[tex] \frac{38 \: eggs}{12 \: batches} = 3.1667eggs \: per \: batch[/tex]
Ololololololololloololololloloollololololololololoololololololololololololololololo Plz help
Answer:
I think its 10 but I'm not certain
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
Melissa runs a mile in 8 minutes 30 seconds. At this rate, how many full miles will she run in 45
minutes?
Answer:
Time measure: 8 miles = 30 seconds We are given 45 minutes × 60 seconds /30= 90 miles
Write the equation of a line with a slope of O through the point (3, -1).
y = 3x - 1
y = -1
x=3
x = -1
Answer:
x=3
please mark as brainliest
please help, thanks :)
Answer:
D :)
Step-by-step explanation:
Will mark brainliest!!!Using sin in math solve the one circled in green
Answer:
x ≈ 32.3
Step-by-step explanation:
Using the sine ratio in the right triangle
sin48° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )
x × sin48° = 24 ( divide both sides by sin48° )
x = [tex]\frac{24}{sin48}[/tex] ≈ 32.3 ( to 1 dec. place )
please help ILL GIVE BRAINLIEST
Answer:
1 2 and 4th
Step-by-step explanation:
that is it
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
8. Use the information in the table to write 5 ordered pairs that have cats as the input value
and dogs as the output value.
Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]
Answer:
BODMAS (Bracket Of Division Multiplication and Addition)
Step-by-step explanation:
[tex]5÷(4−3)3−2−2[/tex]
[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]
bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question
what is the value of x in √x^3-1
9514 1404 393
Answer:
x ≥ 1
Step-by-step explanation:
The argument of the square root cannot be negative, so the expression is only defined for ...
x³ -1 ≥ 0
x³ ≥ 1 . . . . . add 1
x ≥ ∛1 . . . . cube root
x ≥ 1 . . . . the domain of the expression
_____
As you can see, the graph only exists for x ≥ 1.
I need help alot of help
Please help! Offering 60 points to the first correct answer.
The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of Account B?
Month 0; Account A $50; Account B $450
Month 1; Account A $85; Account B $465
Month 2; Account A $120; Account B $480
Answer:
funny
Step-by-step explanation:
Answer: month 7
Step-by-step explanation:
My sis did it
can anyone help me pls
Answer:
405 calories
Step-by-step explanation:
All we have to do is:
9 × 45
I hope this helps!
are the angles similar justify?
who ever helps me gets brainliest
Answer:
[tex]\frac{1}{2}[/tex] cups of flour
Step-by-step explanation:
Substitute 1 in for m.
[tex]f=\frac{1}{2}(1)[/tex]
Simplify.
[tex]f=\frac{1}{2}[/tex]
The test scores of students in a math class are 56, 42, 50, 63, 58, 41, 50, 48, 68, and 48. What is the mean of this set of data?
A. 55.6
B. 50
C. 52.4
D. 48.6
Answer:
C. 52.4
Step-by-step explanation:
plz help will make brainliest!!!!!
(by the way, if the pic is blurry, the equation you would solve is: 10x = 2x + 60)
Answer:
x = 7.5
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and equals:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 2x from both sides of the equation:
10x (-2x) = 2x (-2x) + 60
10x - 2x = 60
8x = 60
Next, isolate the variable, x. Divide 8 from both sides of the equation:
(8x)/8 = (60)/8
x = 60/8
x = 7.5
x = 7.5 is your answer.
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