Data on investments in the high-tech industry by venture capitalists are compiled by a corporation. A random sample of 18venture-capital investments in a certain business sector yielded the accompanying data, in millions of dollars. Determine and interpret a 95%confidence interval for the mean amount, mu,of all venture-capital investments in this business sector. Assume that the population standard deviation is $1.70million. (Note: The sum of the data is $102.52million.)
Answer:
$4.911 million or $6.481 million
Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.
Step-by-step explanation:
Given that:
sample size n = 18
standard deviation σ = 1.70
confidence interval = 95%
Sample mean [tex]\overline x =\dfrac{ \sum x }{n}[/tex]
[tex]\overline x =\dfrac{ 102.52 }{18}[/tex]
[tex]\overline x =[/tex] 5.696
The level of significance = 1 - C.I
= 1 - 0.95
= 0.05
The critical value of [tex]Z_{\alpha/2} = Z_{0.025} = 1.960[/tex] from the Z tables
The 95% C.I for the mean is;
[tex]= \overline x \pm Z_{\alpha/2} \times \dfrac{\sigma}{\sqrt{n}}[/tex]
[tex]=5.696 \pm 1.960 \times \dfrac{1.70}{\sqrt{18}}[/tex]
[tex]=5.696 \pm 1.960 \times \dfrac{1.70}{4.243}[/tex]
[tex]=5.696 \pm 1.960 \times 0.4007[/tex]
= 5.696 ± 0.785372
= (5.696 - 0.785372 , 5.696 + 0.785372 )
= ( 4.910628 , 6.481372 )
≅ $4.911 million or $6.481 million.
Thus, we are 95% confident that the mean amount of all venture-capital investments in the high-tech industry is somewhere between $4.911 million and $6.481 million.
y = -8x – 3
x+y=7
Is (3, 4) a solution of the system?
Answer: the answer is no :)
PLEASE HELP ME
(a) Find m
(b) Find AB
12. A company advertises on a website. A worker tracked the number of visits to the
website and the number of clicks on the advertisement. The table shows the data
for several days. A linear function can be used to model the data.
Website Advertisement
Number of Visits
to Website, X
Number of Clicks
on Advertisement, y
14
153
629
38
471
30
914
53
307
21
1,045
60
510
32
1,106
63
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1,500 people visit the website?
Answer:
The answer is 83
Step-by-step explanation:
It's a build up of a continental slope
Im in 8th grade and hope this helped
If point C lies between two points A and B such that AC=BC, then
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
If a=5 what is the value of the card 4a-2
Answer:
18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
4a - 2
a = 5
Step 2: Evaluate
Substitute in a: 4(5) - 2Multiply: 20 - 2Subtract: 18Answer:
The card "4a-2" is equal to 18
4a-2 = 18
Step-by-step explanation:
#1. Replace a with 5 and Your equation should look like the following:
4(5)-2
#2. Now Simplify, we all know that multiplication goes before subtraction or addition:
20-2
#3. Celebrate:
18
Woohoo
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Write a function formula for g using the function f.
g(x)=
Write a function formula for f using the function g.
f(x)=
9514 1404 393
Answer:
g(x) = f(x -2) -1
Step-by-step explanation:
The transformation g(x) = f(x -h) +k causes the graph of function f(x) to be translated h units to the right and k units up. Here, g is translated 2 units right and 1 unit down, so (h, k) = (2, -1). The translated function is ...
g(x) = f(x -2) -1
Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that
b1 = c1 + 3c3, b2 = c1 + 4c2 - c3, and b3 = 5c1 - c2. Suppose vector x = b1 + 6b2 + b3. That is,
suppose space left square bracket bold italic x right square bracket subscript B space equals open square brackets table row 1 row 6 row 1 end table close square brackets . Find space left square bracket bold italic x right square bracket subscript B space, the coordinates of the vector x in basis C.
Each week, Tasha saves 80% of the money she earns babysitting and spends the rest. This week she earned $80.00.
How much more money did she save than spend this week?
Answer:
48$
Step-by-step explanation:
80% of 80 is 64 which means she spent 16$ and saved 64$
so 64-16=48$
answer = 48$
6) Determine if the two figures are similar. Present an informal argument to present
as to why they are or are not similar.
Step 1
Step 2
Step 3
Answer:
yes they are similar
step 1: flip it across the y-axis
step 2: translate it 4 units to the right and 5 units down
step 3: dilate it by a factor of 1/2
Step-by-step explanation:
Which of the following linear equations passes through points (2,0) and (5,-3)?
y = -x + 2
O y= x-2
y = x + 2
None of these choices are correct.
O y=-x-2
help meeeeeeeeeeeeee
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation: If we are relating the flour to the cookies it would simply be 48/3. It takes 3 cups of flour to make 48 cookies, so we know that each cup provides 16 cookies.
2x squared times 6 =
A:10x squared
B:8x squared
C:12x squared
Answer:
C: 12x squared
Step-by-step explanation:
the equation would look like [tex]2x^{2}[/tex] · [tex]6[/tex] or [tex]6(2x^{2})[/tex]
you only multiply the coefficients, leave the exponent alone for this one
so 2 times 6 would be 12 and the [tex]x^{2}[/tex] remains the same giving you [tex]12x^{2}[/tex]
Please help I don’t under
Answer:
x=30
Step-by-step explanation:
set the sum of both equal to 180 bc it makes a straight line
(x-1)+(5x+1)=180
add and subtract 1 from each side
x+5x=180
add like terms
6x=180
divide by 6
x=30
Answer:
D: x=30
Step-by-step explanation:
(x-1)⁰+ (5x+1)⁰=180⁰
x-1+5x+1=180
x+5x-1+1=180
6x=180
x=30
Solve for M in the formula S= C+M.
A. M= S+ C
B. M= S - C
C. M= SC
D. M= s/c
Answer:
im pretty sure its a
Step-by-step explanation:
Can someone please help me with this I think I got it wrong ill give brainliest
Answer:
Yes, you are correct because the curve rests on 3 on the x-axis
Which of the following would you expect to find on a monthly account statement? a. A new set of checks and deposit slips for the coming month. b. A list of credits and debits made during the period. c. A comparison of ending balances for the past 12 months. d. A tally of all credits and debits in the account’s history.
Answer:
b. A list of credits and debits made during the period.
Step-by-step explanation:
Edge 2021
On a monthly account statement, what you are expected to find is a A list of credits and debits made during the period.
What is a monthly account statement?This can be referred to as a statement of the debits and the credits that occurred in a given period of one month.
The account statement is a statement of the transactions that have occurred in an establishment over a period.
Read more on account statements here:
https://brainly.com/question/24498019
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WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FASTEST!
Answer:
speed i answerd first U.U
Step-by-step explanation:
(7+ 1 4) + 6 = 7 ( ■ + 1 6)
7 c = ___qt??????????????
Answer:
1.75qt
Step-by-step explanation:
Answer:
The basketball travels in a parabolic route in order to engage in the passage through the net.
Step-by-step explanation:
(sec(π/3) + tan(-7π/4))/(1-cos(2 π/3))
Answer:
3
Step-by-step explanation:
3+3_3=3
after that 3+2+6+7+7+8+8+9+9+9+9+9+0+0+8+6+5+4+ 5=?
u will do the answer and it will be done
can someone help me with this
Answer:0.98
hope this helps have a good day
Step-by-step explanation:
Reid's Hardware discounts all riding lawnmowers 9% to customers paying in cash. If Trey paid $1,390.49 in cash for a riding lawnmower, which of the following equations can be used to determine the original price of the lawnmower?
Answer:
The original price of the lawnmower is $ 1,528.
Step-by-step explanation:
If Reid's Hardware makes a 9% discount on cash payments, and Trey paid $ 1,390.49 for his lawnmower, to determine the initial cost of the same, the following calculation must be performed:
100 - 9 = 91
91 = 1,390.49
100 = X
(100 x 1,390.49) / 91 = X
139.049 / 91 = X
1.528 = X
Thus, the original price of the lawnmower is $ 1,528.
Jose uses the pattern in rows 1 and 8 in the multiplication table below to find ratios that are equivalent to 1:8.
A multiplication table. In the row labeled 1, the numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are highlighted. In the row labeled 8, the numbers 8, 16, 24, 32, 40, 48, 56, 64, and 72 are highlighted.
If Jose extends the pattern in the highlighted rows to include a ratio that has a first term of 10, what would be the second term of the ratio?
10
20
80
90
Answer:
10Step-by-step explanation:
Answer:
Your answer would be 20 not 10
Step-by-step explanation:
trust me i took the test
9 = 40 + 13
Helpppppp I need it due today
Its is equal to 9x6=53 Goodluck
HELP
i need a graph of 10x+6y=150
Rearrange the equation to get it into slope intercept form:
10x+6y=150
6y=-10x+150
y=-5/3x+25
The slope is -5/3, the y-intercept is 25. Graph below:
Answer:
See below
Step-by-step explanation:
Given
10x + 6y = 150To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.
x-intercept is the coordinate of x when y = 0
10x + 6*0 = 15010x = 150x = 15y-intercept is the coordinate of y when x = 0
10*0 + 6y = 1506y = 150y = 25We have now required points:
(0, 25) and (15, 0)The graph is attached
Helppp asappp I need help with 4
Answer:
Step-by-step explanation:
1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this
y+6=2/3(x+5)
2. Then, convert that into slope intercept form, which is y=mx+b.
y+6=2/3x+10/3 (2/3 * 5)
y= 2/3x - 8/3 (10/3 - 6)
Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3
3. From there, you can graph the line. See the graph in the image attached.
The ratio of pies to cakes in Susan's bakery is 3:1. Choose ALL statements that correctly show this relationship.
A)
For each pie, there are three cakes.
B)
For each cake, there are three pies.
C)
For every three cakes, there is one pie.
D)
For every three pies, there is one cake.
E)
For every three pies there are three cakes.
What is 3/8 equal to in decimals..?
Answer:
.375
Step-by-step explanation:
Answer: 0.375
Step-by-step explanation:
Hey there! If you have any questions feel free to leave them in the comments below.
To find the answer you would divide the numerator by the denominator. [tex]\frac{3}{8}[/tex] would be equal to 0.375
~I hope I helped you :)~
complete the table of values for y=2-x
x= -1, 0, 1, 2, 3, 4,
y= , , , , -1, ,
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2
Answer:
x = -1, 0, 1, 2, 3, 4
y = 3, 2, 1, 0, -1, -2