Answer:
A sample of 385 is needed.
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 - 0.95}{2} = 0.025[/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 - 0.025 = 0.975[/tex], so Z = 1.96.
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, which is the square root of the variance, and n is the size of the sample.
Assume the variance is known to be 3.61.
This means that [tex]\sigma = \sqrt{3.61}[/tex]
How large of a sample would be required in order to estimate the mean number of reproductions per hour at the 95% confidence level with an error of at most 0.19 reproductions?
A sample of n is needed.
n is found when [tex]M = 0.19[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{\sqrt{3.61}}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96\sqrt{3.61}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{3.61}}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{3.61}}{0.19})^2[/tex]
[tex]n = 384.16[/tex]
Rounding up
A sample of 385 is needed.
what is -2.14285714 rounded to the nearest whole
Answer:
-2
Step-by-step explanation:
Find the VOLUME of each prism. Round to the nearest tenth if necessary.
9 ft
11 ft
8 ft
Your answer
Answer: 792
Step-by-step explanation:
9*8= 72
72*11= 792
Length* Height* Depth= Area
A Cylinder has a radius of 5 cm and a height of 17 cm, what is the volume of the cylinder.
Hello!
[tex]\large\boxed{V = 425\pi cm^{3}}[/tex]
Use the following equation to solve for the volume of a cylinder:
V = πr²h, where:
r = radius
h = height
Plug in the given radius and height:
V = π(5)² · 17
Solve:
V = π(25 · 17)
V = 425π ≈ 1334.5 cm³
Use the distributive property and mental math to find the product 5 x 49
help find the surface area
Answer:
9yd
Step-by-step explanation:
Because you have to look at the sides.
3
1
+a=
4
5
mmmmmmmmmmmmmmmmmmmmmmmmm
i'm confused, can you tell me the question?
I will give extra points please help
Answer:
14.2
Step-by-step explanation:
I NEED HELP ASAP!!! PLEASE HELP!!!
Answer:
from B we get y = -2x + 2
part c: slope, m =-2 and b=2
Step-by-step explanation:
Write the expanded form for each expression.
2(i + 5j)
-0.4(h - 1)
i(8 + 2h-6)
Answer:
2i + 10j
-0.4h + 0.4
8i +2hi - 6i = 2i + 2hi
I don’t understand, can someone help ?
Answer:
d. tan (35) = [tex]\frac{x}{10}[/tex]
Step-by-step explanation:
You must memorize the definitions of all the trig functions.
Tan of an angle = opposite side/adjacent side
In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10
So, tan 35 = x/10
What is the answer and quick
Answer:
25%
Step-by-step explanation:
use the relative frequency table . Out of all the lunch orders , what percent are sandwiches?
The percentage of sandwiches at the sporting event will be 61%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The percent of sandwiches is given as,
P = [(0.61) / 1] x 100
P = 0.61 x 100
P = 61%
The percentage of sandwiches at the sporting event will be 61%.
More about the percentage link is given below.
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The ratio of green to white candles is 2:5. If there are 32 green candles, how many white candles are there?
Answer:
80?
Step-by-step explanation:
Answer:
80 white candles
Step-by-step explanation:
I use a way that makes it easy for me
2:5 means [tex]\frac{2}{5}[/tex]
so when you write [tex]\frac{2}{5} =[/tex][tex]\frac{32}{x}[/tex]
that means you do the cross multiplication method which makes the equation go that way:
[tex]2x=32*5[/tex]
so
[tex]2x=160\\x= 80[/tex]
Abe
Question 3
Scientists measure a bacteria population and find that it is 10,000. Five days later, they find
that the population has doubled. Which functionſ could describe the bacteria population d
days after the scientists first measured it, assuming it grows exponentially?
Answer:
The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations). Hence, G=t/n is the equation from which calculations of generation time (below) derive.
PLS HELP ME WILL GIVE BRAINLIEST!!!
The dimensions of each cube are 3 cm by 3 cm by 3 cm. What is the surface area of the object, including the bottom?
Answer:
not sure but i think its 9
Step-by-step explanation:
Answer:
3 x 3 x 3= 18 so 27cm squared
Step-by-step explanation:
Hope this helps! :D
HELP I NEED HELP!!!
In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.
a. What is the chance you win?
b. What is the expected value of the game?
Answer:
a. [tex]\frac{1}{36}[/tex] chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:
[tex]p = (\frac{1}{6})^2 = \frac{1}{36}[/tex]
a. What is the chance you win?
[tex]\frac{1}{36}[/tex] chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So
[tex]E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08[/tex]
The expected value of the game is -$2.08.
Let h(x)=|2x|-4. Find h(x) when x = -7.
a)-10
b) 10
c) -13
d) 13
Plzzz
you are doing chores to earn money, and you earn $3 for each chore you do. name the dependent variable d=$3c
Answer:
The amount of money
Step-by-step explanation:
The amount of money depends on how many chores you do. The dependent variable is the money, and the independent variable is the amount of chores.
Pre Calc Question Help,
State the domain of the rational function. (5 points)
f(x) = sixteen divided by quantity thirteen minus x
All real numbers except 13.
All real numbers except -16 and 16.
All real numbers except -13 and 13.
All real numbers except 16.
Answer:
Step-by-step explanation:
Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.
Given the system of linear equations Part A: Graph the system of linear equations. Part B: Use the graph created in Part A to determine the solution to the system. Part C: Algebraically verify the solution from Part B.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
give me brainliest nerd
The graph of the system of linear equations is represented below.
The solution for the equations x+6y=6 and y= 1/3 x - 2 are x = 6 and y = 0.
What is an equation?A set of variables called an equation is one in which two mathematical expressions are equivalent to one another.
The given system of linear equations,
x+6y=6 (1)
And, y= 1/3 x - 2 (2)
Part A : The graph of the equations shown below:
Part B :
The lines intersect each other at (6, 0)
Therefore, the solution for the equations are x = 6 and y = 0.
Part C:
Substitute the value of x= 6 in the equation (1),
6 + 6y = 6
y = 0.
Also substitute the value of x = 6 in equation (2)
y = (1/3)x6 - 2
y = 2 - 2
y = 0
To know more about Equation on:
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Suppose a pack of candy bars has 4 bars. Each bar weighs 3.38 ounces. How much does the pack weigh?
Answer:
13.52 ounces I think...
Step-by-step explanation:
4x3.38 subtract the decimal and add it again...
ryan climbed 100 steps in 50 seconds. How many steps did he climbed per second? Step by step. Show the full procedure.
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME. IF I PASS THIS I GET TO GO TO DISNEY WORLD.
Answer:
I think it would be C
Step-by-step explanation:
Select the equation that has no real solution.
Answer:
12x + 15 = 12x - 15 can not be solved.
We can not find out what x equals.
Step-by-step explanation:
You can solve - 5x - 25 = 5x + 25
x = - 5
You can solve 7x + 21 = 21
x = 0
You can solve 12x + 15 = 3(4x + 5)
x = AllRealNumbers
That leaves 12x + 15 = 12x - 15
This equation can not be solved
9 +10 =
please help
I will give brainliest and 5 star and 10 points for the best answer
Answer:
910
Step-by-step explanation:
just remove the plus sign (+) to get your answer :)
Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for Medicaid. The ages of 25 senior citizens were as provided. Determine which of the statements below is true.
60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92
Required:
Identify the median age of the uninsured senior citizens.
Answer:
median value = 73 years
Step-by-step explanation:
The median age of the uninsured senior citizens can be determined by determining the middle position of the row of data given
median = [( n + 1 ) / 2 ] ^th
n = 25
median = (25 + 1 ) / 2 = 26 / 2 = 13
This means that the median value is located in the 13th position
The number in the 13th position = 73 years
if 2x+y=8 and x+2=5. what is the value of y?
Answer:
y=2
Step-by-step explanation:
x+2=5
x= 5-2
x= 3
2x+y=8
2×3+y=8
6+y=8
y=8-6
y=2
Answer:
y=2
Step-by-step explanation:
First solve x+2=5 to find x.
x+2=5
-2 -2
x=3. Substitute x=3 into 2x+y=8.
(2 x 3) + y = 8
Now solve.
6 + y = 8
-6 -6
y=2.
Hope I helped x
If $6,000 is invested for 5 years with a 3.5% yearly interest rate, what is the amount of simple interest earned?
Answer:
1,050
Step-by-step explanation:
Simple Interest = Principle×Rate×Time/100
=6,000×5×3.5/100
=1,050
What is the distance between (1, -1) and (-2,3) ?
Answer:
the answer is 5