Answer:
A sample size of 68 should be anticipated using.
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 - 0.9}{2} = 0.05[/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 - 0.05 = 0.95[/tex], so Z = 1.645.
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.
Experience suggests that a reasonable estimate for the population standard deviation is 15
This means that [tex]\sigma = 15[/tex]
What minimum sample size should be anticipate using?
Margin of error at most 3, which means that the sample size is n when M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 1.645\frac{15}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 1.645*15[/tex]
Simplifying both sides by 3:
[tex]\sqrt{n} = 1.645*5[/tex]
[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]
[tex]n = 67.7[/tex]
Rounding up
A sample size of 68 should be anticipated using.
Please help thank you!!!!!!
(3uv/2u²-2v²)+5uv/3u²+3v2
Answer:
19/6 u^3 v + v^2
Step-by-step explanation:
3uv2
u2−2v2+
5uv3
u2+3v2
=32
u3v+−2v2+53
u3v+3v2
Combine Like Terms:
=32
u3v+−2v2+53
u3v+3v2
= (3
u3v+
53
u3v)+(−2v2+3v2)
Consider the equation 13x−2=x+2. Write a system of linear equations using each side of the equation. Then solve the original equation by graphing the system of linear equations.
Answer:
x = 3
Step-by-step explanation:
13x - 2 = x + 2
12x = 4
x = 3
a fair cube has 2 red sides, 2 blue sides, and 2 green sides what is the probability of rolling red or blue
find the difference between 8n and (3n_6)
At Chill Hill, there are 540 ways to make an ice cream sundae consisting of one flavor ice cream, one topping, and one type of syrup. If there are 9 ice cream flavors and 5 types of syrup, how many toppings are there?
Please explain for brainliest.
Answer:
12 toppings
Step-by-step explanation:
9x5=45
540/45=12
How do I start this problem? I don't need help with the graphing part.
Answer:
x = 6 , y = 0 (x , y) = (6 , 0)
x = 12, y = 3 (x , y) = (12 , 3)
x = 24, y = 9 (x , y) = (24 , 9)
Step-by-step explanation:
Simply plug in a x, and find a y that would make the equation true:
When x = 6:
6 - 2y = 6
6 (-6) - 2y = 6 (-6)
-2y = 0
(-2y)/-2 = (0)/-2
y = 0
When x = 6, y = 0 (x , y) = (6 , 0)
When x = 12:
12 - 2y = 6
12 (-12) -2y = 6 (-12)
-2y = -6
(-2y)/-2 = (-6)/-2
y = 3
When x = 12, y = 3 (x , y) = (12 , 3)
When x = 24:
24 - 2y = 6
24 (-24) - 2y = 6 (-24)
-2y = -18
(-2y)/-2 = (-18)/-2
y = 9
When x = 24, y = 9 (x , y) = (24 , 9)
~
work out the size of angle x
Answer:
∠x = 117°
Step-by-step explanation:
supplement of ∠101° = 79°
all triangle interior angles add up to 180°
180° - 79° - 38° = 63°
the supplementary angle to 63° is 117°
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
Plz can anyone help me with my homework
Answer:
GFIH
Step-by-step explanation:
You read coordinates X and then Y
(X,Y)
1. G
2. F
3. I
4. H
1302 rounded to the nearest thenth
Answer:
1300
Step-by-step explanation:
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Answer: 1300 Is the answer! I hope this helped
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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There is 12 inches in a whole hole how many inches is in a half of a hole?
Answer:
6 is hoing to be your answer
Answer:
6in
Step-by-step explanation:
triangle DEF is similar to triangle STU. enter a proportion that contains EF and SU.
Answer:
Step-by-step explanation:
ΔDEF ~ ΔSTU ⇒ EF ~ TU and DF ~ SU ⇒ [tex]\frac{EF}{TU}[/tex] = [tex]\frac{DF}{SU}[/tex]
Find the missing dimension. Use the scale factor 1: 8.
Model height: ?
Actual height: 28 in.
Answer:
the answer is 6 :))))))))0
Step-by-step explanation:
A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 1/2x + 4
Step-by-step explanation:
The slope-intercept equation is written out like so:
y = mx + b
M stands for your slope: 1/2
B stands for your y-intercept: 4
So, your equation is y = 1/2x + 4
Find the distance between the points X and Y shown.
Answer:
5 units away
Step-by-step explanation:
how do I find the number of solutions for this equation? 6y = 12x + 36
15y = 45x + 60
Answer:
6y = 12x + 36 is x= 1 /2 y−3
15y = 45x + 60 is x= 1 /3 y+ −4 /3
Step-by-step explanation:
what is 3/10(x+2)=12
X=38
Hope I helped :]
please help pleaseeeeeee
Answer:
B
Step-by-step explanation:
it's basically 2+7
Answer:
it would be C
Step-by-step explanation:
125 is what percent of 200?
Answer:
125 is 62.5% of 200, hope this helps :)
Please help quick no Tiny links please plz plz help quick due soon I will give points no Links
Answer:
I think its B but im not sure
Step-by-step explanation:
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a s d f g h j k l ñ en español
Answer:
Je ne sais pas sur quoi vous avez besoin d'aide, pourriez-vous préciser pour que je puisse vous aider ??
Step-by-step explanation:
6x-1/2=1 solve this equation
Answer:
cross ❌ multiply
6x-1=2
6x=2+1
6x=3
divide both sides by 6
x=1/2
What number can you multiply ONE equation by in the following system to obtain a matching
coefficient? (Elimination)
4x+3y=8
2x+5y=12
(Worth 10 points )
Answer:
Multiply the second equation by 2
Step-by-step explanation:
Given
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
Required
Get matching coefficient for elimination
[tex]4x + 3y = 8[/tex]
[tex]2x + 5y =12[/tex]
The coefficient of x in both expressions are factors.
So, we can multiply the second equation by 2 to get the coefficient of x in the first.
i.e.
[tex]2 * (2x + 5y = 12)[/tex]
[tex]4x + 10y = 24[/tex]
So, the system becomes:
[tex]4x + 3y = 8[/tex]
[tex]4x + 10y = 24[/tex]
Now, x can be eliminated
What is 5 + 2x + 7 + 4x
Answer:
12+8x
Step-by-step explanation:
By adding together alike values, 5 and 7, and 2x and 4x, you get 12+8x.
A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
Step-by-step explanation:
green = 3/20
black = 4/20 = 1/5
Answer: 35
Step-by-step explanation:
The sum of a number times 8 and 23 is at most 26.
Use the variable b for the unknown number
Answer:
b ≤ 3/8
Step-by-step explanation:
Let the unknown number be b.
Translating the word problem into an algebraic expression, we have;
8b + 23 ≤ 26
Rearranging the equation, we have;
8b ≤ 26 - 23
8b ≤ 3
Dividing both sides by 8, we have;
b ≤ 3/8
pls help i need answer
Answer:
109 degrees
Step-by-step explanation:
23 + 48 = 71
180 - 71 = 109 :)
Answer:
i think the answer is 109 im not sure
Step-by-step explanation:
48+23=71 180-72=109
Find the volume of the solid
Answer:
245 yd3
Step-by-step explanation:
Split the solid into two pieces, multiply length, width, adn height from there.
Answer:
The answer is: 245 yds cubed
Step-by-step explanation:
So first, you would cut the solid into 2 parts. One that is a big rectangular prism and the other is the smaller one. Next, we would solve the volume of the smaller rectangular prism. The measurements for that is:
Height: 2 Length: 5 Width: 2. There is a side of that small prism that is 2x2 so we will solve that first. 2*2=4. 4*5=20. The volume of the smaller rectangular prism is 20 yd^3.
Next, we solve the volume for the 2nd rectangular prism. The measurements for that are: Height: 5 Length: 9 Width: 5.
So we would first solve for one of the sides. 5*5=25. Then we would multiply it by 9. 25*9= 225. So the volume for the bigger rectangular prism is 225 yds^3.
Lastly, we will add the volumes of the two prisms together. 225+20=245.
The final answer is: 245 yds cubed
Suppose that we wish to estimate the mean
CPU service time of a job. A sample of 10 jobs
gives a mean of 10 sec and standard deviation
of 1.5 sec. Assume that the CPU service times
are normally distributed, find a 95% confidence
interval for the mean CPU service time.
Answer:
Step-by-step explanation:
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