Answer:
3.2
Step-by-step explanation:
divide 5.5 from both sides
x = 17.6/5.5 = 3.2
18. A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45, what is the 99% confidence interval of this data?
A. 65.10 and 65.70
B. 65.33 and 65.47
C. 65.05 and 65.75
D. 64.94 and 65.86
Given:
Sample mean = 65.4
Standard deviation = 1.2
Sample size = 45
Confidence level = 99%
To find:
The confidence interval.
Solution:
The formula for confidence interval is
[tex]CI=\overline{x}\pm z^*\dfrac{s}{\sqrt{n}}[/tex]
where, [tex]\overline{x}[/tex] is sample mean, z* is confidence value, s is standard deviation and n is sample size.
Confidence value or z-value at 99% = 2.58
Putting the given in the above formula, we get
[tex]CI=65.4\pm 2.58\times \dfrac{1.2}{\sqrt{45}}[/tex]
[tex]CI=65.4\pm 0.46[/tex]
[tex]CI=65.4-0.46\text{ and }CI=65.4+0.46[/tex]
[tex]CI=64.94\text{ and }65.86[/tex]
Therefore, the correct option is D.
Answer:
the answer is, 64.94 and 65.86
Step-by-step explanation:
Q#1HASF & Company produces cleaning kits for shotguns. The production capacity available will enable the firm to produce 50,000 kits annually. A projected income statement for next year shows
Sales 460,000
Costs of goods sold 296,000
Gross profit 164,000
Selling and administrative expenses 125,000
Net income 39,000
Fixed manufacturing overhead costs 40% of the cost of goods sold. Regular selling price per unit is 10 A 10% sales commission is paid to sales representatives for each kit sold. The purchasing department of a large discount chain has offered to purchase 1500 kits at $6 each. Company sales manager’s initial response is to refuse the offer because he concludes that the $6 price is below the firm’s average cost The sales commission would not be paid on the special order.
What will be the impact on net income??
Answer:
3209
Step-by-step explanation:
Find the value of x
The 2 angles total 120
The 2x angle is 120 - 70 = 50 degrees.
2x = 50
Divide both sides by 2:
x - 25
Answer:
[tex]2x + 70 = 120 \\2x = 120 - 70 \\ 2x = 50 \\ x = \frac{50}{2} \\ \boxed{x = 25}[/tex]
25° is the right answer.Which equation shows inverse variation?
Answer:
5x y=0
Step-by-step explanation:
Answer:
40/x = y
Step-by-step explanation:
Inverse variation is of the form
y = k/x,
where k is a number.
The only choice that follows that form is 40/x = y which can be rewritten as y = 40/x
Answer: 40/x = y
What is the equation of the line? Identify the values of A, B, and C in the standard form of the equation.
Answer:
Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Reposting since it wasn’t answered. Increased points to 25.
Congruence
Select all that apply
Answer:
a,b,d,e
answered in the first question
Mickey owns 3/4 of an acre of land. He wants to sell 1/3 of his land to Minnie. What fraction of an acre does Mickey want to sell?
10/12
3/7
1/3
3/12
Mt. Everest is 8,707.37 feet higher then Mt. McKinley. What is the elevation of Mt.Everest.
Answer:
29,028.87
Step-by-step explanation:
Just add 8,707.37 and the height of Mt. McKinley.
What is the value of the expression -(-6)?
A.-6 b.-1/6 c.1/6 d.6
Answer:
d. 6
Step-by-step explanation:
Answer:
D: 6
Step-by-step explanation:
The Main Rules Are:
1) A negative number times a negative number is a positive number.
2) A positive number times a positive number is a positive number.
3) A negative number times a positive number is a negative number.
This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.
Hope that helped, as well as explained the concept :)
x/10 = 150
what is x
Answer:
[tex]x = 1500[/tex]
Step-by-step explanation:
[tex] \frac{x}{10} = 150[/tex]
Move 10 to multiply 150.
[tex]x = 150 \times 10 \\ x = 1500[/tex]
Answer Check
Substitute x = 1500 in the equation.
[tex] \frac{1500}{10} = 150 \\ 150 = 150[/tex]
The equation is true for x = 1500.
Therefore, the answer is x = 1500
What is the measure of angle D?
Answer:
180 - 132degrees
Step-by-step explanation:
interior angle
48 ?!?
no sure doee
hope it helps
a) 3x + 6 = 27 x =
b) 6x + 3 = 27 x =
c) 27x + 3 = 6 x =
please help
how do you put 0.3063 in scientific notation
Answer: 0.3063 * 10^-1
Step-by-step explanation: hope this helps!
Write these fractions in their simplest forms:
a)
15
20
8
b)
12
Answer:
a) 3/4
b)4/6 = 2/3
hope this helps u
pls mark me as brainiest :)
Determine the key features of a function whose value is defined as six less than triple some quantity. (2 points)
The slope is _____
the x-coordinate of the x-
Intercept is_____
and the y-coordinate of the y-intercept is_____
:: 6
:: 2
:: 3
:: 1/3
:: -6
Can y’all help me put three of these options in the right places :)
Answer:
The slope is 3
Hence the x-coordinate of the x- intercept is 2
Hence the y-coordinate of the y- intercept is -6
Step-by-step explanation:
We are to first write the statement six less than triple some quantity as an expression:
let the quantity be x
Triple the quantity to have 3x
six less than triple some quantity will be expressed 3x - 6
The required function is f(x) = 3x - 6
This is in standard form of equation of a line y = mx+c
m is the slope
c is the y-intercept
Comparing 3x - 6 with mx+c
3x = mx
3 = m
m = 3
The slope is 3
x intercept occurs at when f(x) = 0
Substitute into f(x) = 3x-6
0 = 3x-6
-3x = -6
x = 2
Hence the x-coordinate of the x- intercept is 2
y intercept occurs at when x = 0
Substitute into f(x) = 3x-6
f(x) = 3(0)-6
f(x) = -6
Hence the y-coordinate of the y- intercept is -6
A recent report indicated that 22 percent of the households in a certain community speak a language other than English at home. A reporter will randomly select a household from the community until the first household that speaks a language other than English at home is selected. Let random variable Q represent the number of attempts needed until the first household that speaks a language other than English at home is selected. The random variable Q has a geometric distribution with p=0.22. Which of the following is closest to the variance of the random variable?
(A) 0.0484
(B) 2.5454
(C) 4.5455
(D) 4.0144
(E) 16.1157
Answer:
(E) 16.1157
Step-by-step explanation:
Q has geometric distribution with p = 0.22
"Variance of Q" V(Q) = 1 - p / p²
V(Q) = 1 - 0.22 / 0.22²
V(Q) = 0.78 / 0.0484
V(Q) = 16.11570247933884
V(Q) = 16.1157
So, the Variance of random variable Q is 16.1157
This question is based on the variance. Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.
Given:
Community speak a language other than English at home = 22 percent
Let random variable Q represent the number of attempts needed.
The random variable Q has a geometric distribution with p=0.22.
We need to determined the closest to the variance of random variable.
As we know that,
Q has a geometric distribution with p=0.22
Now calculate the variance of Q,
[tex]V(Q)=\dfrac{1-p}{p^{2} }[/tex]
[tex]V(Q)=\dfrac{1-0.22}{0.22^{2} }[/tex]
[tex]V(Q)=\dfrac{0.78}{0.484} }[/tex]
Therefore, the variance V(Q) is 16.1157.
Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.
For more details, please refer this link:
https://brainly.com/question/13708253
Reposting since it wasn’t answered. Increased points to 25.
Congruence
Select all that apply
Answer:
Im not sure so I'm going to I think it is a better a, c, and f
Answer:
C and F are the answers but I'm not sure
Select the equation that is true.
6,714 ÷ 103 = 6.714
6,714 ÷ 103 = 67.14
6,714 ÷ 103 = 671.4
6,714 ÷ 103 = 6,714
Answer: None of the choices is correct.
6,714÷103 is about 65.184
Step-by-step explanation:
The closest answer is the second choice. But there must be a typo in the question.
6,714÷100 = 67.14
I hope this helps. You might be able to ask your teacher about the mistake in the question.
Pls help me! Find the unit rate. 12 slices from 2 cakes = ____slices per cake.
Answer:
6 slices per cake
Step-by-step explanation:
you have 2 cakes and they have 12 total slices which means each cake has 6 slices
Just look at the picture
Answer:
(-4)^2= 16 -4^2= -16
Step-by-step explanation:
plz plz plz plz help
Answer:
1 milimeter
Step-by-step explanation:
the rest you can see easily by naked eye
Answer:
D
Step-by-step explanation:
1 millimeter cuz its a microscope u use it to see deep into stuff.
Give brainliest
Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root function?
Answer:
its D
Step-by-step explanation:
got it right on edge
Answer:
d
Step-by-step explanation:
edge 2021
Find the value of tan(30).
Answer:
(sqrt3)/3
Step-by-step explanation:
What is the difference b/w "Binomial Series" and "Binomial Theorem"? Also give formula for each.
Note: [ Explanation required according to GRADE 12 (college level) ] .
***Best explanation vl get brainliest***
Step-by-step explanation:
[tex]\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}[/tex]
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn .
Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.
The binomial series enables us to apply the binomial theorem when k is not a positive integer.
What is the binomial theorem?The binomial theorem (or binomial expansion) in elementary algebra describes the algebraic expansion of binomial powers.
The binomial theorem states that for some a,b∈R and some k ∈Z+ ,
(a+b)k=∑n=0k(kn)ak−nbn.
The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:
(1+x)k=∑n=0∞(kn)xn.
Hence, when k is not a positive integer, we can use the binomial series to apply the binomial theorem.
To know more about the binomial theorem follow
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Solve the following system of equations by elimination. What is the value of y?
Answer:
y=3
Step-by-step explanation:
Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
6x - 12y = 15
2x - 4y = 6
there is no solution here. i checked, trust me.
The System of Equation have No Solution.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
6x - 12y = 15................(1)
2x - 4y = 6...........(2)
Now, Multiply equation (2) by 3 we get
6x - 12y = 15
6x - 12y = 18
____________
0 = -3
also, 6/2 = -12/ (-4) ≠ 15/6 which is parallel lines.
So, the equation have No solution.
Learn more about Equation here:
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need help please please
Answer:
Insert the equations into desmos and then it will show you the lines.
Step-by-step explanation:
If not then use this as help:
y=-1 is a horizontal line passing through y coordinate -1x= 6 is a vertical line passing through x coordinate 6x=-3 is a vertical line passing through x coordinate -3y=4 is a horizontal line passing through y coordinate 4(he was flunking school to get out of school plus he worked at kfc and loved his job, during the 11th grade btw)
summerize this:
I didn’t know what I was doing or what I believed in, except the United States of America and the Cleveland Browns. Sometimes, to break my addiction to the tube[1], I spent the night in a derelict shed with mushrooms growing from the rafter boards. Back-yard rehab. I used to read in there, or, anyway, swing my eyes over the pages of library books: “Out of Africa” (the girl I was in love with loved the move); Donal Trump’s autobiography; Kierkegaard; “Leaves of Grass”; a book about how to make a robot from an eight-track player. As long as nobody had assigned the book, I could stick with it. I didn’t know what I was reading. I didn’t really know how to read. Reading messed with my brain in an unaccountable way. It made me happy; or something. I copied out the first paragraph of Annie Dillard’s “An American Childhood” on my bedroom’s dormer wall. The book was a present from an ace teacher, a literary evangelist in classy shoes, who also flunked me, of course, with good reason. Even to myself I was a lost cause.
what are the factors equivalent to 3/5
Answer:
3/5 are 6/10, 9/15 and 12/20.
Step-by-step explanation:
Expand 3a(a- 4b) pls help
Hey there!
All you have to do is DISTRIBUTE
Here’s the formula:
a(b + c) = a(b) + a(c) = ab + ac
NOW LETS SOLVE FOR YOUR QUESTION
• 3a(a – 4b)
• 3a(a) + 3a(4b)
• 3a(a) = 3a² ⬅️ FRONT number
• 3a(4b) = 12ab ⬅️ BACK number
• Answer: 3a² + 12ab ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)