Answers
1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630
so we can write y=70*3^x, where x is the number of hour
Related Questions
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 5.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Step-by-step explanation:
Given that;
mean x" = 5.4
standard deviation σ = 0.7
n = 6
Null hypothesis H₀ : μ = 5.0
Alternative hypothesis H₁ : μ > 5.0
∝ = 0.025
now,
t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4
degree of freedom df = n-1 = 6 - 1 = 5
T critical = 2.571
Therefore; t < T critical,
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answers
Answer:
it's just 8/20 so shade 8/20 of the circle
2/4 < ?/6
I dont get it.
Answers
Answer:
4
Step-by-step explanation:
This is wanting you to put a numerator that will make this fraction bigger then 2/4.
2/4 is greater then 1/6, so that won't work
2/4 is greater then 2/6, so that won't work either
2/4 is equal to 3/6 because they reduce to 1/2, so it won't work
2/4 is less then 4/6, this will work
any number bigger then 3 can be put in the ? spot
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
Answers
1part =75
75x4 to get supermarket
which then the answer is 300 cupcakes to for the supermarket
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answers
Answer:
c
Step-by-step explanation:
translations assignment
two friends are knitting scarves. Each scarf has 3 rectangles and 2/3 of the rectangles have stripes, If the friends are making 10 scarves, how many rectangles do they need? How many rectangles will have stripes?
Answers
Answer:
They need 30 rectangles and 20 of those rectangles will have stripes.
Step-by-step explanation:
3 x 10 = 30, (2/3) x 30 = 20
A bass guitarist worked on 15 music projects last year. He wrote and produced 5 projects. He wrote a total of 9 projects. Use a Venn diagram to determine:
a. How many projects he wrote but did not produce
b. How many projects he produced but did not write.
Let W be the set of projects the bass guitarist wrote and P be the set of projects he produced
Answers
Step-by-step explanation:
W = Set of projects the guitarist wrote
P = Set of products he produced
A bass guitarist worked on 15 music projects last year.
Universal set = 15
He wrote and produced 5 projects.
W ∩ P = 5
He wrote a total of 9 projects.
W = 9
The Venn Diagram is given in the attached image.
a. How many projects he wrote but did not produce (W - P)?
W - P = W - W ∩ P
W - P = 9 - 5 = 4
He wrote 4 projects but did not produce them.
b. How many projects he produced but did not write (P - W)?
Universal set = (W - P) + (P - W) + W ∩ P
15 = 4 + (P - W) + 5
(P - W) = 15 - 9 = 6
He produced 6 projects but did not write them
for the figure below, give the following
Answers
Answer:
(a) <1 & <6 (b) <5 & <6 (c) 7 & <3
Step-by-step explanation:
Vertical angles are angle that make an X
Linear pair angles are next to each other
Supplementary angles are angles that form a straight line
Answer:
a) 1 and 6 , 3 and 8, 7 and 4, or 2 and 5
b) 5 and 6
c) 1 and 5
Step-by-step explanation:
Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?
Answers
Answer:
$234
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 2600 × 0.03 × 3 = 234
I = $ 234.00
The simple interest accumulated
on a principal of $ 2,600.00
at a rate of 3% per year
for 3 years is $ 234.00.
Answer:
$234
Step-by-step explanation:
Write an equation in slope-intercept form for the table.
Answers
Answer:
y=4x+3
Step-by-step explanation:
y=mx+c where m is the slope and c is the intercept.
To find m, get two points and plug them into the formula (y2-y1)/(x2-x1):
(0,3) and (2,11)
m=(11-3)/(2-0)
=8/2
=4
y=4x+c
To find c, plug in one of the points, eg. (3,15)
15=4(3)+c
15=12+c
c=3
y=4x+3
2 1/4 - 1/15
PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
2 11/60
Step-by-step explanation:
15/60 -4/60=11/60
2+11/60=2 11/60
I really need help with this so plz give a good answer
Answers
Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0
Answers
Answer:
Vertex: (8,6) Focus (7,6)
Step-by-step explanation:
32/4=8
Half of 12=6
A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°
Answers
Answer:
[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]
Step-by-step explanation:
When given the central angle in degrees, the formula for sector area is:
[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]
where θ is the central angle and r is the radius.
We are given the diameter, so we must calculate the radius. The radius is half the diameter.
r= d/2The diameter is 18 meters.
r= 18 m/2 r= 9 mNow we know all the variables:
θ=135 r= 9 mSubstitute the values into the formula.
[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]
Solve the exponent first.
(9)²= 9 m *9 m= 81 m²[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]
Solve the fraction.
[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]
Multiply the two rational numbers.
[tex]A=\frac{243}{8} \pi \ m^2[/tex]
The answer can be left like this, in terms of pi, or can be multiplied.
Using 3.14 as pi[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]
[tex]A= 95.3775 \ m^2[/tex]
Using the pi button as pi[tex]A= 95.42587685 \ m^2[/tex]
The area is 243/8 π, 95.3775, or 95.42587685 square meters.
write 56
as the product of prime factors
Answers
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
1. What is the 15th partial sum of the geometric sequence (262,144; 32,768; 4,096; 512; ...)? Round to the nearest whole number, if needed.
Answers
Answer:
[tex]S_{15} = 299593[/tex]
Step-by-step explanation:
Given
[tex]262144,\ 32768,\ 4096,\ 512; ...[/tex]
Required
Determine the 15th partial sum
The nth partial sum of a geometric series is:
[tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
In this case:
[tex]a = 262144[/tex]
[tex]n = 15[/tex]
r is calculated as:
[tex]r = \frac{32768}{262144}[/tex]
[tex]r = 0.125[/tex]
Substitute values for a, r and n in [tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
[tex]S_{15} = 262144* \frac{1 - 0.125^{15}}{1 - 0.125}[/tex]
[tex]S_{15} = 262144* \frac{1}{0.875}[/tex]
[tex]S_{15} = \frac{262144* 1}{0.875}[/tex]
[tex]S_{15} = \frac{262144}{0.875}[/tex]
[tex]S_{15} = 299593.142857[/tex]
[tex]S_{15} = 299593[/tex] -- approximated
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answers
Answer:
5/6, 7
Step-by-step explanation:
3. The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. *
Answers
Answer:
The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.
4 7/8 in decimal form
Answers
Answer:
4.875?
convert it into an improper fraction
4 7/8 in decimal form is equal to 4.875.
To convert the mixed number 4 7/8 into decimal form, we need to add the whole number part to the fraction part.
The whole number part is 4.
To convert the fraction 7/8 into decimal form, divide the numerator (7) by the denominator (8):
= 7 ÷ 8
= 0.875
Now, add the decimal result to the whole number:
= 4 + 0.875
= 4.875
Therefore, 4 7/8 in decimal form is equal to 4.875.
Learn more about Decimal here:
https://brainly.com/question/238739
#SPJ6
Find the midsegment.
Answers
Answer:
14
20+8=28/2
your welcome
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Answers
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
Please solve -6+7x=50
Answers
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
Can somebody plz help!!
Answers
Answer:
A
Step-by-step explanation:
there are 4 columns and 1 drama so it equals 1/4
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answers
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answers
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
Another virus starts spreading on July 1st, 2020. No one
was infected prior so there is no constant. But it does spread at a rate of 11
people per day
Write an equation to solve for the number of days it would take to reach 1,000 cases
How many days will it take to reach 1000 cases?
On what date will Gotham City reach 1000 cases?
THE PICTURE SHOWS ABOUT THE FIRST VIRUS
Answers
Answer:
1000÷11=90.9
So,29th September
Can a parallelogram also be a rectangle
Answers
Answer:
yes
Step-by-step explanation:
Answer:
sometimes
Step-by-step explanation:
Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw
two cards without replacement.
G = the first card drawn is green
G2 = the second card drawn is green
a. P(G, and G2) -
b. P(At least 1 green)
C. P(G2G) -
d. Are G, and G2 independent?
They are independent events
They are dependent events
09
Answers
Answer:
Dependent
Step-by-step explanation:
because which ever coloured card you draw at first changes the probability of the second draw
Answer:
dependent
Step-by-step explanation:
the first card drawn
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Answers
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
(05.05 LC)
If you were to use the substitution method to solve the following system, choose the new
equation after the expression equivalent to x from the second equation is substituted into
the first equation. (5 points)
3x + 2y = -21
x-3y=4
3(3y + 4) + 2y = -21
O 31-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 21-3y + 4) = -21
Answers
Yes it is yep correct 1000% 10000000000000%