Answer:
Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.
Step-by-step explanation:
A random sample of 45 home theater systems has a mean price of $140.00
Assume the population standard deviation is $19.40
population standard deviation is 19.40
sample size is 45.
standard error of the sample mean is 19.40 / sqrt(45) = 2.89198
at 90% confidence level, critical z is plus or minus 1.645.
at 95% confidence level, critical z is plus or minus 1.96.
critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.
your sample mean is 140.
your standard error of the mean is 2.89198
at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.
that becomes 140 plus or minus 4.76 rounded to the nearest penny.
at 90% confidence level, the true population mean will be between 135.24 and 144.76.
at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.
that becomes 140 plus or minus 5.67 rounded to the nearest penny.
Using the z-distribution, it is found that:
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.We are given the standard deviation for the population, and thus, the z-distribution is used.
The information is:
Sample mean of [tex]\overline{x} = 85.22[/tex].Population standard deviation of [tex]\sigma = 13.97[/tex].Sample size of 74, thus [tex]n = 74[/tex].A z-confidence interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
For the 90% confidence interval, [tex]\alpha = 0.9[/tex], thus, z with a p-value of [tex]\frac{1 + 0.9}{2} = 0.95[/tex], which means that it is z = 1.645.
Then, the 90% confidence interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89[/tex]
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.
For the 95% confidence interval, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then, the 95% confidence interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40[/tex]
The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.
The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.
A similar problem is given at https://brainly.com/question/22596713
Planet Earth has a mass of 5.9726 × 10 24 kilograms. And although 70% of the Earth's surface is made of water, the water's mass is only 5 × 10 -4 percent of the Earth's total mass. Use scientific notation to estimate the mass of the planet's water. In your final answer, include all of your estimates and calculations.
Given parameters:
Mass of the earth = 5.9726 x 10²⁴kg
Mass of percent water on earth = 5 x 10⁻⁴% of the total mass of the earth
Unknown:
Mass of water on earth = ?
Solution
This is pretty straight forward;
Mass of water on earth = mass percent of water x mass of earth
Input the parameters and solve;
Mass of water on earth = [tex]\frac{5 x 10^{-4} }{100}[/tex] x 5.9726 x 10²⁴
= 5 x 10⁻⁴ x 10⁻² x 5.9726 x 10²⁴
= 5 x 5.9726 x 10⁻⁴⁺⁽⁻²⁾ ⁺²⁴
= 29.863 x 10¹⁸kg
or 2.9863 x 10¹⁹kg
Mass of water on earth is 2.9863 x 10¹⁹kg
is negative 2 rashihol
Answer:
Yes, -2 is a "rashihol" number
Joe has $800 to spend on a new dining room table and chairs. If the sales tax is 8%, how much can he afford to spend on the table and chairs?
Answer:
no
Step-by-step explanation:
800x8%=64
64+800=864
Answer:
$736
Step-by-step explanation:
800 x (100% - 8%)
800 x 92%
=736
Find the 84th term of the arithmetic sequence -5,15,35, ...
The 84th term of the sequence is 1655
How to determine the 84th term?The arithmetic sequence is given as:
-5, 15, 35, .....
The above sequence has the following parameters:
Initial value, a = -5Common difference, d = 20The nth term of the sequence is:
Tn = a + (n - 1) * d
So, we have:
T84 = -5 + (84 - 1) * 20
Evaluate
T84 = 1655
Hence, the 84th term of the sequence is 1655
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Which number set correctly represents the range of the given data?
{(0, 0), (2, 0), (3, 0), (5, 0)}
{0, 2, 3,5)
{0, 2, 3)
{0,2)
(0)
Answer:
I would assume {0, 2, 3, 5}
Step-by-step explanation:
I would assume that answer because all three are given in the range of the given data set.
Answer:
The answer is [0] (D)
Step-by-step explanation:
Given the fact that the Range is Y value, we see 0,0,0,0
So its 0
Find the intercepts of the given line:
y=−6x+21
Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
You have 8 quarts of brown stock. You need 3 cups to make one serving of braised short ribs. How many servings can you make? (don't include partial portions)
Answer:
You can make 2 servings.
Step-by-step explanation:
Hi there!
3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.
Have a great day!
(I'd also appreicate it if I got a rating and maybe a Thanks please!)
Write the following equation in slope intercept form:
y + 9 = 3(x - 1)
The slope intercept form of the given equation y + 9 = 3(x - 1) is
y =3x-12 .
What is slope intercept form ?
The slope intercept is a form of two variable linear equation in x, y is given by
y = m x + c
y is y coordinate, x is x coordinate , m is called slope , c is y intercept
For the given equation
y + 9 = 3(x - 1)
⇒ y + 9 = 3x -3
Subtracting 9 from both sides of this equation, we get
⇒ y+9-9 = 3x-3-9
⇒ y = 3x - 12
This is the slope intercept form with m = 3 and c = -12
Therefore , the slope intercept form of the equation y + 9 = 3(x - 1) is
y =3x-12
Also, Learn more about the slope intercept form from the link below:
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To which set or sets of numbers does the number 5 belong?
Answer:
what are the options
Step-by-step explanation:
i would help but I don't know what to answer
Find the slope of a line graphed below
Answer:
Slope is 2/5x
Step-by-step explanation:
H-E-B sells steak for $6.10 per pound. What would be the cost of 2.6 pounds of steak
Answer:
the answer is $15.86
Rewrite the statement as an equation. $10
for each x plus $5 for each y equals $1500
Answer:
10x+5y=1500
Step-by-step explanation:
I don't know how to explain this but i think this is right.
Find the difference: 34.14 - 67.42
Answer:
the answer is -33.28
Step-by-step explanation:
1.
Solve -x + 9x = -4
Solution x= and x =
Answer:
x = - 1/2Step-by-step explanation:
-x + 9x = -4
8x = -4
x = -4/8
x = -1/2
at the zoo there are 3 times
Answer:
at the zoo there are 3 times what?
Step-by-step explanation:
g Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. C. The event x is a discrete random variable because the values of the random variable are countable. D. The event x is a discrete
Answer:
Correct option: C
Step-by-step explanation:
A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.
A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.
The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.
The correct statement describing X is:
C. The event x is a discrete random variable because the values of the random variable are countable.
Evaluate -9x-2 when x=-4
Answer:
34
Step-by-step explanation:
76 divided by 12 in a lixed fraction
6 or. 1/3
hopethishelp
Answer:
6 1/3
Step-by-step explanation:
72/12 = 6.3333 = 6
76 - (12 x 6) = 4
6 4/12
6 1/3
Can someone help
Please
Answer:
Step-by-step explanation:
.
of equ
final equation is a true sta
A 4x - 3= 2x + 13
Answer:
8
Step-by-step explanation:
Step 1:
4x - 3 = 2x + 13 Equation
Step 2:
4x = 2x + 16 Add 3 on both sides
Step 3:
2x = 16 Subtract 2x on both sides
Step 4:
x = 16 ÷ 2 Divide
Answer:
x = 8
Hope This Helps :)
Answer:
x=8
Step-by-step explanation:
4X-3=2x+13
+3. +3
4X=2x+16
-2x. -2x
2x=16
/2. /2
x=8
What type of number is 8/2?
Choose all answers that apply:
А
Whole number
B
Integer
C
Rational
D
Irrational
Answer:
A,B,C
Step-by-step explanation:
It is A because 8/2 simplifies to 4 which is a whole number.
4 is an integer, idk if its asking for 8/2 as itself but a fraction isnt an integer.
The fraction above is obviously rational number.
All the types for the number 8/2 is,
A. Whole number
B. Integer
C. Rational
Given that,
The number is,
⇒ 8/2
Now, simplify the number as,
⇒ 8/2
⇒ 4
Clearly, 4 is a whole number and it is an integer.
Here, 4 is written as, 4/1
So, it is also an rational number.
So, the correct options are,
A. Whole number
B. Integer
C. Rational
Learn more about the fraction visit:
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Can someone help me
Answer:
Su=10
Explaination:
So from s to u on the nunebr line is worth 2x-12. So what is s to u worth? Well. S to t on the number line = x-7. T to u =6. And 2 x is worth 12 more than s to u, using th e expression. X has to be at least 8 because otherwise the x-7 wouldn't work, and u might get s to u = 0 or a negative number.
Say x was 13, then 13 - 7 =6. So S to t =6. And r to u =6. So s to u =12. (6+6). Then check if the expression fits this answer of 12. 2x - 12. 2x = 26. 26-12=14, which doesn't match.
Let's try 14. 14-7=7. Then s to u = 7+6=13. The expression: 2x= 28. 28-12=16. 13 and 16 dont match. So we have got further away from what we need. Why don't we try going in the opposite direction. Rather than testing 13 and +1, let's now - 1 and try 12.
If x=12, then s to t =12-7=5. And s to u =6+5=11. The expression: 2x=24.-12=12. We are very close now with 11 and 12.
Lets test x=11!
S to t = 11-7=4. 4+6=10. So s to u =10.
2x=22. 22-12=10. So the expression works and the number line measurements.
The answer is su=10 and x=11.
Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)
a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)
Answer:
A
Step-by-step explanation:
i am smart
Find the equation, in standard form, of the line passing through the points
(2,-3) and (4,2).
A. 5x+2y=16
B. 5x – 2y=16
C. y=5/2x+8
D. 2x – 3y=9
Answer:
B
Step-by-step explanation:
To solve for the slope:
(2-(-3))/(4-2)=5/2
y=5/2x+b
plugin points:
2=5/2(4)+b
2=10+b
b=-8
so equation of the line is y=5/2x-8
and in standrd form its 5x-2y=16
For the following exercises, rewrite the quadratic functions in standard form and give the vertex. Standard form is y=a(x-h)²+k
6.) f(x) = x² – 12x + 32
8. f(x) = x² - x
10. h(x) = 2x² + 8x - 10
Evaluate the function for the indicated input
[tex]f(0)=0^2+0-6=\boxed{-6}[/tex].
Hope this helps.
Simplify by dividing 3/5 divide by (-4/9).
Answer:
a)-27/20
Step-by-step explanation:
3/5 ÷ (-4/9)
3/5 × (-9/4)
-27/20
Hope it will help
Norman answered the following question below lilith brought 20 cans to the food drive marcus brought 7 cans to the food drive if Paulina brought 8 more cans than lilith and marcus Combined, how many cans did Paulina bring. explain you answer
Answer:
100 is a cool number
Step-by-step explanation:
i also ate a rock
The Corner Cafe offers a 10% off senior citizen discount. If Mr. and Mrs. Schmidt order $36.00 worth of food and are senior citizens, how much can they expect to save?
Answer:
$3.60
Step-by-step explanation:
$36.00 × 10%= $3.60
The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).