Answer:
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18[/tex]
Rounding to one decimal place, 0.2.
The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions
The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.
The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.
can you please help me
A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
What is the median of this data set?
Help!!!!!
Answer:
60
Step-by-step explanation:
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0
Answer:
x=-8
x=-6
Step-by-step explanation:
Don't really know how to explain this. I never was good at completing the squares.
Hope that this helps!
Tickets to a movie cost five dollars for adults and three dollars for students a group of friends purchase 18 tickets for $82 how many adult tickets did they buy
Answer: They purchased 14 adult tickets and 4 kids' tickets.
Step-by-step explanation:
14 x 5 = 70
3x4=12
and then add 70 plus 12 to get 82 dollars
Your cousin is building a sand box for his daughter
How much sand will he need to fill the box
how much paint does he need for the box
Answer:
volume of box(v)=l×b×h
=1×6×4
=24ft^3
so it required 24volume sand to fill the box
What is 498,235 rounded to the
nearest thousands?
Answer:
498,000
Step-by-step explanation:
what is 513 + _ + 130 = 764? what is the missing number and can u pls do a explantation
Answer:
121
Step-by-step explanation:
The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.
Another way to look at this problem is 513+130= 643
764-643=121
In conclusion, 513+121+130=764
Answer:
the answer will be 121
Step-by-step explanation:
because 513 + 130= 643 then 121 + 643 = 764
5. A flock of geese flies 50 miles per hour. Write a linear
equation that gives the distance d in miles that the flock
of geese flies in h hours
Answer:
y=50x+0
Step-by-step explanation:
y=mx+b is y-intercept form
I will make x= hours and y= distance (miles)
every 1 you add to x has to represent 50 miles
for the y intercept, it was unspecified so I assumed 0
Hope this helps :)
Answer:
y=50x
Step-by-step explanation:
Evaluate the expression: -(8 - 12) + 6° + (-4)2.
Answer:
-4 + 6°
Step-by-step explanation:
- (8 - 12) + 6° + (- 4)2 = - ( - 4) + 6° - 8 = 4 + 6° - 8 = - 4 + 6°
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation:
A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.
Required:
Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use α = 0.05.
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Find [tex]a_{1}[/tex] in a geometric series for which [tex]S_{n}[/tex] = 189, r = [tex]\frac{1}{2}[/tex], and [tex]a_{n}[/tex] = 3.
Answer:
[tex] \displaystyle a_{1} = 108[/tex]
Step-by-step explanation:
we are given
the sum,common difference and nth term of a geometric sequence
we want to figure out the first term
recall geometric sequence
[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]
we are given that
[tex]S_n=189[/tex][tex]r=\dfrac{1}{2}[/tex][tex]n=3[/tex]thus substitute:
[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]
to figure out [tex]a_1[/tex] we need to figure out the equation
simplify denominator:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]
simplify square:
[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]
simplify substraction:
[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]
simplify complex fraction:
[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]
calculate reciprocal:
[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]
reduce fraction:
[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]
multiply both sides by 4/7:
[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]
reduce fraction:
[tex] \displaystyle a_{1} = 27\times 4[/tex]
simplify multiplication:
[tex] \displaystyle a_{1} = 108[/tex]
hence,
[tex] \displaystyle a_{1} = 108[/tex]
Helppppp plsssssssssssssssssssssss
Thansk!
シ
Answer:
60.
Step-by-step explanation:
we have a decimal so we need to get rid of it, move It over twice.
1.5, 15.
and do the same for 9
90., 900.
now we can divide
60.
15 900.
90
00
0
The researchers chilled the beverages to 6°C. Participants drank the beverages at the same time each day for three days. During the 3 days of the experiment, the researchers feed each participant the same diet. On the third day participants spent 24 hours in a calorimeter chamber to measure their energy metabolism. The medical journal Obesity published the results in 2007. What is the purpose of double-blinding?
a. To control unintentional researcher bias in the execution of the experiment
b. To control for the participants' prior beliefs about energy drinks
c. To control both unintentional research bias and participant prior beliefs
Answer:
C. To control both unintentional research bias and participant prior beliefs
Step-by-step explanation:
Double blinding is a type of study where neither the participants nor the researchers know the treatment or intervention that the participants receive until the whole study/research is completed. This is very important because it means that the results gotten from the study have a very slim chance of being biased.
Thus,the correct answer is option C as it includes both the researcher and the participants
what is the first step to solve this equation: 11 - 3i = 44
Answer:
11 - 3i = 44 (move 11 to the right side and add minus)
-3i = 44-11
-3i = 33 (dive it by -3)
i = -11
Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?
Answer:
2.5 inches
Step-by-step explanation:
Area= 50 square inches
Base= 20 inches
Height=?
Area= base×height
50= 20× x
50= 20x
x= 50/20
= 2.5
Hence the height is 2.5 inches
Answer:5 inches
Step-by-step explanation:
If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp
Answer: 2880 hours
Explanation: 120 days times 24 hours
Solve the formula Ax + By = C for A
Please help me Surface Area Homework
Carols monthly take home pay is $1500. She spends $250 a month on food. What is the ratio of food costs to take home dollars?
Answer:
the ratio of food costs to take home dollars is 1:6
Step-by-step explanation:
The computation of the ratio of the foods cost to take home is shown below:
Given that
Monthly take home pay is $1,500
And, the spending month on food is $250
Based on the above information
The ratio is
= $250 ÷ $1500
= 1:6
Hence, the ratio of food costs to take home dollars is 1:6
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
HINT: Use the distance formula:
d = V(x2 - xı)2 + (y2 - yı)2
Answer:
The distance is of 10.8 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
C(-5,4) and D(5,8). So
[tex]D = \sqrt{(5-(-5))^2 + (8-4)^2} = \sqrt{10^2 + 4^2} = 10.8[/tex]
The distance is of 10.8 units.
find the value of X in the triangle shown below
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
WHATS 20-11 ANSWER OR DAII
Answer:
9
Step-by-step explanation:
20-11=9
☁️ Answer ☁️
9
Take 11 away from 20
Have a nice day noona/hyung.
i am so confused help me whats 2x3x4x6x7+7=
Answer:
1015 will be your answer!
Step-by-step explanation:
2 x 3 x 4 x 6 x 7 + 7 =
6 x 24 x 7 + 7 =
144 x 7 + 7 =
1008 + 7 =
1015
Answer:
Hi! The answer to your question is [tex]1015[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
PLEASE HELP ASAP WILL GIVE BRANLIESTKayla is installing a rectangular play area in her backyard so her new puppy can run around. After installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. 12 + p = 42 or p - 42 = 12
Let p represent the perimeter of the play area. Which equation models the problem?
Solve this equation to find the perimeter of the play area.
_____________ feet
Answer:
The equation is P - 42 = 12
P = 54
Step-by-step explanation:
Plss help mark brain list a lot of point
Answer:
arc TQ= 69° (44 + 25)
arc QR = 155° (180 - 25)
arc TS = 111° (360 - 44 - 25 - 155 - 25)
arc SQR = 335° (360 - 25)
arc RQT = 224° (155 + 25 + 44)
What is the measure of op С : 429 180°
Answer:
90
Step-by-step explanation:
the angles that are on the opposite side are same
LEARNED THIS IN FOURTH GRADE
I'm still in fourth grade
my math teacher taught us this separately.
I go to School for the Highly Gifted in Grand Prairie, Texas