Answer:
The minimum sample size required for the estimate is 345.
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 and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in
the tank before he starts to drain it?
Time (minutes)
Amount of Water
1
150
3
100
6
25
There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
Read more about linear equations at:
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Solve the equation for x, where x is restricted to the given interval.
Step-by-step explanation:
[tex]y = 3 \csc( \frac{x}{5} ) [/tex]
[tex] \frac{y}{3} = \csc( \frac{x}{5} ) [/tex]
Multiply by 5 on both sides.
[tex]5 \times \frac{y}{3} = \csc(x) [/tex]
Take the inverse of cosecant or arccsc of the function.
[tex]5 \: arccsc( \frac{y}{3}) = x[/tex]
The trigonometric equation for x, where x is restricted to the given interval is x = 5 * arccsc(y/5)
What is trigonometry?Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given
y = 3 CSC(x/5) for x in given domain
y/ 3 = CSC (x/5)
CSC(x/5) = y/3
x/5 = arccsc(y/3)
x = 5* arccsc(y/3)
Therefore, "x = 5 * arccsc(y/5)" is the trigonometric formula when x is limited to the specified range.
Learn more about trigonometry here:
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there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?
Select one:
XY, XZ, YX, YZ, ZX, ZY
XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ
X, Y, Z
XX, YY, ZZ
acually anwser or i'll report u
Answer:
XX, YY, ZZ
Step-by-step explanation:
i need help with this!
Answer:
the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331
Answer:
z=529
Step-by-step explanation:
Let's solve your equation step-by-step.
√z=23
Solve Square Root.
√z=23
z=232(Square both sides)
z=529
Check answers. (Plug them in to make sure they work.)
z=529(Works in original equation)
Find the value of x.
help please !
Answer:
33
Step-by-step explanation:
The sum of the three interior angles in a triangle is ALWAYS equivalent to 180 degrees.
69 + 78 = 147
180 - 147 = 33
Hope this is helpful & accurate! Best wishes.
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
The answer is 65%
Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)
Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning
Answer:
7(1 +3x)
Step-by-step explanation:
The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.
= 7 + 7·3x
= 7(1 +3x)
Six children want to share five chocolate bars fairly. How much chocolate will each child get?
Answer:
0.8 of a chocolate bar
Step-by-step explanation:
Bc 5 divided by 6 is 0.8
-1.32+x=1
-1 -1
Not sure about this??
Answer:
x=2.32
Step-by-step explanation:
-1.32+x=1
add 1.32 to both sides
1.32 cancels itself out
so you are left with x=2.32
Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?
Jynessa wants to order these fractions: StartFraction 4 over 9 EndFraction, two-thirds, one-sixth, Negative 2 and one-half. What should she use as her common denominator?
your answer would be D. 18
did it on edge :)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I believe its c
Step-by-step explanation:
Answer:
(4, -11)
Explanation:
The coordinate's signs just change (negative becomes positive and vise versa)
Please help this is geometry :)
Peyton needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4 hours and charged her $77 for
parts. The total was $497. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answer:
The cost of labor per hour is $105.
The expression is 4x + 77 = 497
Step-by-step explanation:
The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.
4x + 77 = 497
4x + 77 - 77 = 497 -77
4x = 420
4x/4=420/4
x = 105
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.
Answer:
0
Step-by-step explanation:
am not sure, , have not studied
The students in two English classes were asked how many minutes they read each day.
Answer:
Step-by-step explanation:
what are the answers to choose from
please help me fast thanks
Answer:
1.86/2 = 0.93/2 = 0.465/2 = 0.2325
Step-by-step explanation:
5. How many calories in a 2,500-calorie diet represent veggies in the circle graph? PLEASE HELP DUE VERY SOON
Answer:
875 calories
Step-by-step explanation:
100%=2500calories
35% represents veggies
35*2500=87500÷100=875
875calories
if d is 55 degrees then what is F and E degrees. Explain how you know
Answer:
F=55
E=70
Step-by-step explanation:
The total degree of a triangle is 180.
So we have 180-55*2
E=180-110
E=70
Raquel's Brownies
Raquel has 4 brownies. She wants to give an equal share to each
of her friends. How would Raquel share these brownies equally among herself
and 8 friends? How much of the brownies will each person get? Use words,
pictures, and an equation to explain your thinking.
Estimate
Answer:
each person will get half of a brownie
Step-by-step explanation:
4 divided by 8 is 1/2 so you'll have to split each brownie in half and give each person half
c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
Consider the following number line:
B
C
A+
11
=>
1
0
Drag the following cards to match each point to its value.
Point Value
А
1
5
B
0.8
3
5
Answer:
The pink A goes to the Green C on the number line. the green C goes to the pink A on the number line. The Blue B goes to the Blue B in the number line.
Step-by-step explanation:
hope it helped ;)
What is the area of this shape?
Answer:
720
Step-by-step explanation:
3/8+1/8=
Find the sum or difference
Answer:
Sum is 4/8
Difference is 2/8
Step-by-step explanation:
Sum is adding so add the numerators and denominators would be the same
Difference is subtraction
9 times 10 to the power of minus 9. As a normal number.
First, write the expression. Then solve.
9 x 10^-9
9 x 0.0000000010
0.000000009
---
sorry if i'm wrong, I haven't done this in a while
The reciprocal parent function is reflected across the x- axis, then translated 5 units right and 7 units down . Write an equation that could represent this new function , then identify the asymptotes
Answer:
Equation: [tex]f'"(x) = -\frac{1}{x-5}-7[/tex]
Asymptotes: [tex](x,y) = (5,-7)[/tex]
Step-by-step explanation:
Given
Let the reciprocal function be:
[tex]f(x) = \frac{1}{x}[/tex]
First, it was reflected across the x-axis.
The rule is: (x,-y)
So, we have:
[tex]f'(x) = -\frac{1}{x}[/tex]
Next, translated 5 units right.
The rule is: (x,y)=>(x-5,y)
So:
[tex]f"(x)= -\frac{1}{x-5}[/tex]
Lastly, translated 7 units down.
The rule is: (x,y) => (x,y-7)
So:
[tex]f'"(x) = -\frac{1}{x-5}-7[/tex]
To get the vertical asymptote, we simply equate the denominator to 0.
i.e.
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
To get the horizontal asymptote, we simply equate y to the constant.
i.e.
[tex]y = -7[/tex]
[tex](x,y) = (5,-7)[/tex]