A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 95% confidence interval with a maximum error of 0.09 reproductions per hour. Assuming that the mean is 6.6 reproductions and the variance is known to be 4.84, what is the minimum sample size required for the estimate? Round your answer up to the next integer.
Answer:
The minimum sample size is [tex]n = 2295 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.09[/tex]
The sample mean is [tex]\= x = 6.6[/tex]
The variance is [tex]\sigma^2 = 4.84[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{4.84 }[/tex]
=> [tex]\sigma = 2.2[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.96 * 2.2 }{0.09} ] ^2[/tex]
=> [tex]n = 2295 [/tex]
2.
The change, in yards, in a football team's position on the field for each of their last four plays is
shown below.
-4, 7, -7,0
Which list correctly compares the changes, in yards, in the football team's position on the field?
A. -7<-4< 0 < 7
B. -4 <-7 <0 <7
C. 0<-7<-4 <7
D. 0<-4 <-7<7
Answer:
[tex]-7 < -4 < 0 < 7[/tex]
Step-by-step explanation:
Given
Change: -4, 7, -7 and 0
Required
Compare them
From the list of given options, we can observe that the inequality < is used in all options.
This implies that we arrange from least to highest
The least is -7
Then, -4
Then 0
And lastly, 7
So, we have:
[tex]-7 < -4 < 0 < 7[/tex]
Answer: is it –7<–4<0<7
WILL MAKE YOU BRAINLIEST FOR NO REASON IF YOU GIVE BEST RESPONSE
Which of the following angle pairs are alternate interior angles? Choose all that apply. (2 points)
A. Angles 1 and 4
B. Angles 8 and 6
C. Angles 5 and 6
D. Angles 2 and 3
E. Angles 8 and 7
F. Angles 3 and 6
Answer:
A. Angles 1 and 4
D. Angles 2 and 3
Step-by-step explanation:
Alternate interior angles are a pair of angles which alternate each other lying on either side of the transversal but within the two parallel lines that is cut across by the transversal.
In the diagram above, the following are alternate interior angles:
<1 and <4,
<2 and <3
Answer:
A and D
Step-by-step explanation:
Please need help thank
Answer: 3 apples left
65 devided by 5 13
13-10
Step-by-step explanation:
Answer:
3 apples
Step-by-step explanation:
Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123
Answer:
En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.
Step-by-step explanation:
Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:
E + HP = 5 x C
E = 3 x C
C + HP = 123
Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:
Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.
Entonces, las equivalencias son las siguientes:
E = 3C
HP = 2C
Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.
A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).
HELP ME ASAP!!
Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2
Answer:
[tex] \huge A (n) = 5 ({2})^{n - 1} \\ [/tex]
Step-by-step explanation:
The nth term of a geometric sequence is given by
[tex]A(n) = a _ 1( {r})^{n - 1} [/tex]
a1 is the first term
r is the common ratio
From the question we have the final answer as
[tex]A (n) = 5 ({2})^{n - 1} [/tex]
Hope this helps you
Which of the following graphs shows the set of points that represents the number of hours that Leah
can work in order to earn at least $120 and not work more than 20 hours per month?
Answer:
I think it’s A,C, and E
Step-by-step explanation:
I’m not for sure but if you plot those points in the shaded region for graph C, those should be correct .
MADKING BRAINIEST!!Complete the following ratio table so that each pair represents the same rate.
Answer:
3=15
4=20
5=25
Step-by-step explanation:
bold are the answers
Counting up on a number line starting at 0 corresponds with what numbers
Use the distributive property to identify the equivalent expression.
8x + 10
Answer:
36
Step-by-step explanation:
8squared+10=18
18x2=36
Answer:
ummmmmmmmmmmmmmmmmmmmmmmm
First answer is brainiest
Explain you're answer even if its just a bit because I'm tired of people giving me random answers so I fail its annoying.
Answer:
D
Step-by-step explanation:
So you are looking for the inverse equation. The original can be written as y=1/2x-6. For the inverse, your variables switch places. It's reflecting across the line y=x (that's what the inverse does). So you write it as x=1/2y-6. Now solve for the new equation:
Move 6 over: x+6=1/2y
Isolate y: 2(x+6)=y
This gets you D.
(GIVING BRAINLIEST AND EXTRA POINTS TO WHO HELPS ME!!)
Frankie buys six and twelve fifteenths pounds of cherries and four and four sixths pounds of grapes. How many pounds of fruit did she buy in total?
A) ten and forty two ninetieths pounds
B) ten and sixteen twenty firsts pounds
C) eleven and forty two ninetieths pounds
D) eleven and sixteen twenty firsts pounds
Answer:
11 7/15 (Not listed on paper!)
Step-by-step explanation:
6 12 /15 + 4 4 /6 =
(6 + 4) + ( 12 /15 + 4/ 6 )
= 10 + 12 × 2
15 × 2
+
4 × 5
6 × 5
= 10 +
24 /30
+
20 /30
= 10 +
24 + 20 /30
= 10 +
44 /30
= 10 +
44 ÷ 2
30 ÷ 2
= 10 +
22 /15
= 10 +
1 7 /15
=
11 7 /15
(Eleven and seven fifteenths)
[Sorry but all of the answers you gave are all wrong!]
An average pen manufactured by the F&M Corporation lasts 400 days with a standard deviation of 40 days.
Assuming that pen life is normally distributed, what is the probability that such a pen will last at least 440
days?
Answer:
The probability that the pen will last at least 440 days is 0.1587
Step-by-step explanation:
Given that
Mean = μ = 400 days
SD = σ = 40 days
Now we have to find the probability of a data point X = 440
For that first of all we have to find the z-score of the value
z-score is found using the formula
[tex]z-score = \frac{x-Mean}{SD}[/tex]
Putting the values of x, mean and SD we will get,
[tex]z = \frac{440-400}{40} = \frac{40}{40} = 1[/tex]
At least 440 means that either 440 or greater than this, hence, we have to find area to the right of z=1
For that
[tex]P(z<1) = 0.8413\\P(z>1) = 1-P(z<1) = 1-0.8413 = 0.1587[/tex]
Hence,
The probability that the pen will last at least 440 days is 0.1587
A circular lawn has a row of bricks around the edge. The diameter of the lawn is
about 40 feet.
Question 1
3 pts
Which is the best estimate for the amount of grass in the lawn?
125 feet
125 square feet
1,250 feet
1250 square feet
Answer:
Step-by-step explanation:
Answer:
Area of the grass in the circular lawn is 1250 square feet
Step-by-step explanation:
Lawn is in the shape of circle having radius = 20 feet
Area of the circular lawn will be represented by the formula,
Area = πr² [ Here 'r' = Radius of the circular lawn]
= (3.14)(20)²
= 3.14 × 400
= 1250 square feet
Therefore, area of the grass in the circular lawn will be 1250 square feet
Answer:
1250 square feet
Step-by-step explanation:
A = pie × radius^2
Armon has a prepaid cell phone. This month he will like to purchase a $9 message package. The rate plan for the talk time is $0.10 per minute. Write an inequality for the maximum amount of talk time that Armon can purchase for his bill to stay under $45.
Pls show step-by-step! :)
Square root of 24 using perfect squares
24 is not a perfect square.
What is a Perfect Square ?A perfect square is a number that can be written as a product of an integer and another integer itself.
To determine the square root of 24
24 = 6 * 4
6 square can be drawn of 4 small squares
[tex]\rm \sqrt {24} = \sqrt{ 4*6} \\\\=\sqrt{4} * \sqrt{6} \\\\= 2 \sqrt{6}[/tex]
Therefore 24 is not a perfect square.
To know more about Perfect Square
https://brainly.com/question/385286
#SPJ2
A class has 48 minutes available to hear reports from 15 students. if the time is to be divided equally, how long may each student have?
Answer:
No, every student will have 3.2 minutes
Answer:
Each student has approximately 3 minutes and 12 seconds.
Step-by-step explanation:
You divide the total amount of minutes by the total amount of students. 48/15=3.2
After you get your answer, you convert to minutes. There are 3 minutes and the .2 converts to 12 seconds
Where is the punctuation error in this sentence?
More people came to the meeting1 than had been expected. They were standing2 in the aisles3 in the hall,4 and on the front steps.
Answer:
That is that It is Most not More
Answer:
It is number 3
Step-by-step explanation:
what is the slope (5,7) and (2,-2)
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m
What is the domain of the relation?
Answer:
I am not certain but it's either the last one or second to last my bet is -4<x<4 but you can try I am not certain tho
Give the factors for the numerator [n] and denominator [d] after reducing.
Answer:
The factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{x^2-25}{x^2-4x}\div \frac{2x^2+2x-40}{x^3-x}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{x^2-25}{x^2-4x}\times \frac{x^3-x}{2x^2+2x-40}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^3-x\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]=\frac{\left(x^2-25\right)x\left(x^2-1\right)}{\left(x^2-4x\right)\left(2x^2+2x-40\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x[/tex]
[tex]=\frac{\left(x^2-25\right)\left(x^2-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]\left(x^2-25\right)\left(x^2-1\right)=\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)\left(x^2+x-20\right)}[/tex]
∵ As factor [tex]2\left(x-4\right)\left(x^2+x-20\right)=2\left(x-4\right)^2\left(x+5\right)[/tex]
so the expression becomes
[tex]=\frac{\left(x+5\right)\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2\left(x+5\right)}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:x+5[/tex]
[tex]=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
Therefore, the factors for the numerator [n] and denominator [d] after reducing will be:
[tex]\frac{x^2-25}{x^2-4x}\div \:\frac{2x^2+2x-40}{x^3-x}=\frac{\left(x-5\right)\left(x+1\right)\left(x-1\right)}{2\left(x-4\right)^2}[/tex]
45/43 as a percentage rounded to the nearest tenth?
Answer:
104.65116279%
Step-by-step explanation:
Answer:
104.7 % to the nearest tenth.
Step-by-step explanation:
Multiply the fraction by 100:
= (45*100)/43
= 104.651.
Number 12 thank you ASAP
Answer:
0
Step-by-step explanation:
A slope of a straight, horizontal line is 0 as it is not going up or down.
Answer:
B) 0
Step-by-step explanation:
When it is a straight horizontal line the slope is 0, and when it is a straight vertical line the slope is undefined.
y= ___ is slope of 0
x= ___ is slope of undefined
What is the determinant of? –18 –8 10 18
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \binom{ | - 18 \: \: \: \: \: - 8| }{ |10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18| } = \\ [/tex]
[tex] - 18 \times18 - ( - 8 \times 10) = [/tex]
[tex] - 324 + 80 = - 244[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
D
Step-by-step explanation:
Edge
which of the following is the simplified form of the expression 12z-4y+16z-8y
-28z+12y
28z-12y
-28z-12y
28z+12y
Answer:
28z-12y
Step-by-step explanation:
The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?
Answer:
i pretty sure it's 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
given f(x)=4x-3, solve for x when f(x)=9
A sales manager analyzed the sales, in dollars, y, of beach products compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r = 0.75.
Which conclusion is most appropriate based on the correlation coefficient of the data?
There is a strong positive relationship, therefore as x increases, y increases.
There is a strong positive relationship, therefore as x increases, y decreases.
There is a weak positive relationship, therefore as x increases, y increases.
There is a weak positive relationship, therefore as x increases, y decreases.
Answer:
There is a strong positive relationship, therefore as x increases, y increases
Step-by-step explanation:
WHat is the answer to this (1−5q)+(2.5q+8)−(0.5q+6)
Answer:
-3q+3
Step-by-step explanation:
Answer:
−3q+3
Step-by-step explanation: