Answer:
a) 4800 bacteria
b) [tex]y(t) = 300(4)^t[/tex]
c) 754 bacteria
Step-by-step explanation:
A bacteria culture starts with 300 bacteria and doubles in size every half hour.
This means that the number of bacteria after t periods of half hour is given by:
[tex]y(t) = 300*(2)^{t}[/tex]
(a) How many bacteria are there after 2 hours?
2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).
[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]
(b) How many bacteria are there after t hours?
It doubles every half hour, so each hour, it is multiplied by 4. Then
[tex]y(t) = 300(4)^t[/tex]
(c) How many bacteria are there after 40 minutes?
40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).
[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]
Misha practices the guitar for 3 hours every day.
A 2-column table with 6 rows. Column 1 is labeled Days with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled hours with entries 3, 6, 9, 12, 15, 18.
Which equation models the situation?
3 = hd
h = 3d
d = 3h
h = d
Answer:
It is B. H = 3d
Step-by-step explanation:
I got it right :)
Answer:
the answer is B
Step-by-step explanation:
h = 3d
your welcome
HELP ITS REALLY URGENT
Answer/Step-by-step explanation:
a. m<h = x°
Two angles to use in finding x are <h and 55°
Angle pair formed: linear pair angles
b. x° + 55° = 180° (linear pair)
Subtract 55° from each side
x + 55 - 55 = 180 - 55
x = 125°
c. Given: m<n = y°
Two angles to use in solving for y are: <h and <n
Angle pair formed: alternate exterior angles
d. m<n = y° (given)
m<n = x° = 125° (as solved in 2b)
Therefore:
y = x (alternate exterior angles are congruent)
thus:
y = 125° (substitution)
0.7c-1.5c c=13 d=3 ...............................
Answer:
4.6
Step-by-step explanation:
Write the fraction as a product of a whole number and a until fractions 7/8
Answer: 8/9 cause we sub
Step-by-step explanation:
what is the graetest commom factor for 6 and 36
Answer:
The greatest common factor of 6 and 36 is
6
Hope it will help :)
Answer:
6
Step-by-step explanation:
After a 10% decrease the cost of a new cooker is £ 198
Work out the original price of the cooker.
Answer:
£217.80
Step-by-step explanation:
198 increase 10% =
198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8
Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams. Linda feeds her rats Formula A, Tuan feeds his rats Formula B, and Javier feeds his rats Formula C. At the end of a specified time period, each rat is weighed again, and the net gain in grams is recorded. Using a significance level of 10%, test the hypothesis that the three formulas produce the same mean weight gain.
Linda's rats Tuan's rats Javier's rats
43.5 47.0 51.2
39.4 40.5 40.9
41.3 38.9 37.9
46.0 46.3 45.0
38.2 44.2 48.6
Determine whether or not the variance in weight gain is statistically the same among Javier’s and Linda’s rats. Test at a significance level of 10%.
Answer:
The variance in weight is statistically the same among Javier's and Linda's rats
The null hypothesis will be accepted because the P-value (0.53 ) > ∝ ( level of significance )
Step-by-step explanation:
considering the null hypothesis that there is no difference between the weights of the rats, we will test the weight gain of the rats at 10% significance level with the use of Ti-83 calculator
The results from the One- way ANOVA ( Numerator )
with the use of Ti-83 calculator
F = .66853
p = .53054
Factor
df = 2 ( degree of freedom )
SS = 23.212
MS = 11.606
Results from One-way Anova ( denominator )
Ms = 11.606
Error
df = 12 ( degree of freedom )
SS = 208.324
MS = 17.3603
Sxp = 4.16657
where : test statistic = 0.6685
p-value = 0.53
level of significance ( ∝ ) = 0.10
The null hypothesis will be accepted because the P-value (0.53 ) > ∝
where Null hypothesis H0 = ∪1 = ∪2 = ∪3
hence The variance in weight is statistically the same among Javier's and Linda's rats
Negative numbers: addition and subtraction: Qui
Which of the following expressions are
4 8 4 9
equivalent to
+- ?
7 9 7 8
Choose 2 answers:
4
8
-
+
9
+
TIN
8
4
+15
1
-
+
+
+
8
4
8
+
+
+
7.
8.
0
Answer:
+15 and 9
Step-by-step explanation:
Complete this for me
Answer:
Step-by-step explanation:
1 Kg of carrot = 40 p
1 1/2 Kg of carrot = 40 * [tex]\frac{3}{2}[/tex] = 20 * 3 = 60 p = £ 0.60
1 kg of potato = 52 p
3 kg of potato = 52 *3 = 156 p = £1.56
1 box of tea bags = 90 p
Number of boxes for £1.80 = 1.80 ÷ 0.90 = 2 boxes
4 packs of yogurt = £4.80
1 pack of yogurt = 4.80 ÷ 4 = £1.20
Total = 0.60 + 1.56 + 1.80 +4.80 = £ 8.76
a laundry detergent box measures 12 inches by 8 inches by 2.5 inches. What is the volume of the two boxes?
Answer:
240
Step-by-step explanation:
12 x 8 x 2.5 = 240
pls help soonnnnn i need number 2
Answer:
3 3/16 lbs is the total amount the puppies weigh
A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?
Answer:
90x3
Step-by-step explanation:
Across
A 35 degree angle and a 55
degree angle add together
what
angles?
Answer:
20
Step-by-step explanation:
ahaja8ququqqu8qyq8
help help math math help
Answer: x(-2,0) y(0,1.4)
Answer:
Step-by-step explanation:
x(-2,0) y(0,1.4)
6+(9-1)2 divided by 4x (1/2)
Answers:
Here you go, hope this helps
Step-by-step explanation:
6+2x
I can’t do math help
Answer:
i cant either-
Step-by-step explanation:
Pls help meeeeeeeeeeeee
Answer:
4 Hours and 25 Minutes to Seconds is - 15900
Step-by-step explanation:
) The Deerfield Township mayor would like to know where his constituents stand on a tax break for local small business that will appear on the upcoming election ballot. To get a better sense he decides to conduct a poll in the community. a. Describe the appropriate intended population the mayor should study. Be specific. b. Describe a method that could be used to select a random sample of size 150 from the intended population. Be as detailed as you can, and pretend you are explaining this to someone with no statistical experience. c. What is the sample for this study
Answer:
a.) Citizens of Deerfield Township who have the right to vote.
B.) Stratified Random Sampling
C.) The citizens in each strata, 150 voters
Step-by-step explanation:
Deership Citizens who have voting right.
B.)
Stratified Random sampling : A random selection of voters based on criteria such as Dividing the whole township into districts and then random samples of voters is chosen from each district. For instance, if there are 15 different districts, a random sample of 10 voters is chosen from each district.
15 * 10 = 150
C.) The sample refers to a subset of the population which when chosen at random is representative of the larger population. The sample in the study are the voters in each strata.
Dependent events can best be described as
two or more events that have the same probabilities.
two or more events that do not have the same probabilities.
a group of events whose later outcomes are not affected by previous outcomes.
a group of events whose later outcomes are affected by previous outcomes.
Answer:
Sonya watched
1
3
of a movie in the morning, and she watched some more at night. By the end of the day, she still had
1
4
of the movie left to watch. How much of the movie did Sonya watch at night?
Step-by-step explanation:
SORRY WRONG
Dependent event is,
D) a group of events whose later outcomes are affected by previous outcomes.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
We know that;
The two events Event A and event B are said to be dependent if the occurrence of one outcome affects the occurrence of the other outcome.
Since, If we have a bag containing 5 blue marbles, 2 red marbles and 3 green marbles then if we draw first marble and then draw second without replacement.
Then, the event of drawing a blue marble first and then a green marble are dependent events.
Hence, Dependent event is,
a group of events whose later outcomes are affected by previous outcomes.
Learn more about the probability visit:
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Suppose you and a friend form a band. You want to record a demo. Sony Studios rents for $150 plus $20 an hour. Capitol Studios rents for $200 plus $15 an hour. Use a system of equations to help you to determine when the studios charge the same amount.
at what number of hours do the studios charge the same amount?
Answer:
200 < 225 + 80x < 550
The 200 is the amount the Jenna currently have.
225 + 80x is the amount that Jenna has to pay given x number of hours.
550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.
Step-by-step explanation:
225 + 80x < 550
80x < 550 -225
80x < 325
80x / 80 < 325/80
x < 4.06 or 4 hours
225 + 80x → 225 + 80(4) = 225 + 320 = 545
The number of hours for the sound technician will range from 1 hour to 4 hours.
Assuming they will use 6 hours.
225 + 80(6) = 225 + 480 = 705
705 - 550 = 155
Jenna has to raise an additional $155 to pay off the studio rent and 6 hours of sound technicians.
this might be wrong but, i hope it helps
Answer:
Step-by-step explanation: times the hour by four on each and get 60 then it would be an equal pay for the hours.
Ahmad lost 50 dollars from his pocket.
Write a signed number to represent this change.
Answer:
-50
Step-by-step explanation:
it could be X-50=?
0.5(5x - 2.2 )
Expand the expression
Answer:
2.5x - 1.1
Step-by-step explanation:
0.5 x 5x = 2.5x
0.5 x 2.2 = 1.1
I hope this helps! :)
A basketball hoop is 15 feet tall. The angle of elevation to the hoop from Jasmine is 75 degrees. How far away is Jasmine from the base of the basketball hoop (horizontal distance)? Round to the nearest hundredth.
Answer:
75 Feet
Step-by-step explanation:
123
jk
What is the range of possible sizes for side x?
Answer:
Your answer is
1/2 <x<8
as per triangular rules
Hope that this is helpful. Tap the crown button, Like & Follow me
Shade the number line to show 3/5 x 5/8
Answer:
15/40 = 3/8
Step-by-step explanation:
numerator x numerator & denominaror x denominaror
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:
So,
3/5 = 0.6
5/8 = 0.625
Next,
We can multiply these decimals together to find the product:
= 0.6 x 0.625
= 0.375
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.
The shaded point should fall between 0.3 and 0.4 on the number line.
Thus,
To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.
Learn more about number line here:
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What is 157,400 rounded to the nearest thousand lol plzz help i forgot <33
Answer:
shhadhdsnn
Step-by-step explanation:
thanks
EASY: order from largest to smallest size
Answer:
Decending
Step-by-step explanation:
Answer:
1,2,3
Step-by-step explanation:
Mrs. Diaz has 4 brownies left. She wants to share the brownies equally among her 5 children Which of the following shows the amount of brownies each child can receive?
Step-by-step explanation: I had that q and got it right
UwU
Hayden wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores. She went to Safeway on a Tuesday morning and recorded the time, in minutes, it took 30 customers to go through a checkout line. Then she went to Whole Foods on Tuesday afternoon and recorded the time it took 30 customers to go through a checkout line. Hayden calculated the mean number of minutes for the customers in each line. She intends to conduct a two-sample t-test for a difference in means between the two stores. Have all conditions for inference been met
Answer:
No. The data in this study were not based on a random method. This is a key requirement for an inference to be made from the two-sample t-test.
Step-by-step explanation:
1. Hayden can use the two-sample t-test (also known as the independent samples t-test)to find out if there was a difference in the time spent in the checkout time between two grocery stores and to conclude whether the difference in the average checkout time between the two stores is really significant or if the difference is due to a random chance. There are three conditions to be met when using the two-sample t-test.
2. The first condition is that the sampling method must be random. This requirement was not met in this study. Each customer from each store should have an equal chance of being selected for the study. This was not achieved.
3. The distributions of the sample data are approximately normal. This is achieved with a large sample size of 30 customers selected for each study.
4. The last but not the least condition is the independence of the sample data. Sample data here is independent for both samples.
Factor the trinomial 2x^2+15x+7
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2x2+15x+7
For a polynomial of the form ax2+bx+c
, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15
.
Tap for more steps...
2x2+x+14x+7
Factor out the greatest common factor from each group.
Tap for more steps...
x(2x+1)+7(2x+1)
Factor the polynomial by factoring out the greatest common factor, 2x+1
.
(2x+1)(x+7)