Answer:
[tex]S.E = 2[/tex]
Step-by-step explanation:
Given
[tex]Mean = 40[/tex]
[tex]s^2 = 64[/tex] ----- variance
[tex]n = 16[/tex] ------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
Where
[tex]SD = Standard\ Deviation[/tex]
[tex]SD = \sqrt {s^2}[/tex]
[tex]SD = \sqrt {64}[/tex]
[tex]SD = 8[/tex]
So:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
[tex]S.E = \frac{8}{\sqrt{16}}[/tex]
[tex]S.E = \frac{8}{4}[/tex]
[tex]S.E = 2[/tex]
Hence: the estimated standard error for the sample mean is 2
Find the inverse of the function.
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
Some parts of California are particularl earthquake prone. Suppose in one metropolitan area, 40% of all homeowners are insured against earthquake damage. Four homeowners are selected at random. Let X denote the number among the four who have earthquake insurance. Assume that the event of each homeowner having or not having insurance is independent.
Required:
a. Find the probability mass function of X?
b. What is the most likely value for X?
c. What is the probability that at least two of the four selected have earthquake insurance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Percentage of insured home owners = 40% p = 0.4
Selecting 4 home owners (x) ;
x = 0, 1, 2, 3, 4
Using bernoulli;
nCx * p^x * (1 - p)^(n-x)
For X = 0
4C0 * 0.4^0 * 0.6^(4-0) = 0.1296
X = 1
4C1 * 0.4^1 * 0.6^(4-1) = 0.3456
X = 2
4C2 * 0.4^2 * 0.6^(4-2) = 0.3456
X = 3
4C3 * 0.4^3 * 0.6^(4-3) = 0.1536
X = 4
4C4 * 0.4^4 * 0.6^(4-4) = 0.0256
B.) The most likely value for X are 1 and 2 with probabilities of 0.3456 respectively.
C.) probability that atleast 2 of the 4 selected have earthquake insurance ;
P(X ≥ 2) = p(2) + p(3) + p(4)
P(X ≥ 2) = 0.3456 + 0.1536 + 0.0256
P(X ≥ 2) = 0.5248
Answer:
hope this photo helps. 1
The cost of 5 pens is $140.50. What is the cost of 1 pen?
Answer:
28.1
Step-by-step explanation:
140.50/5
These are some expensive pens
Answer:
$28.1
Step-by-step explanation:
Divide
140.50 divided by 5 = 28.1
(That's an expensive pen)
Find the distance between E(5,3) and F(-4,3).
Answer:
3 - 3 = 0 units There is no distance, the points are in the same place.
Step-by-step explanation:
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
-24 = -8(5x-7) im confused
Answer:
x=2
Step-by-step explanation:
In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.
-24 = -40x + 56 now you can solve it start by subtracting 56 on both sides
-80 = -40x now divide -40 on both sides
2=x
I hope this helps :)
have a nice day
random variables, probability distributions and expected value
A community festival organizes a fundraiser for their local park. They sold 25,000 tickets at $20 each. The grand prize is $5,000. There are two prizes valued at $2,000, three prizes valued at $1,000, five prizes of $500, and ten prizes of $100. What is the expected value of this raffle? Round to the nearest cent. Do not round until the final calculation.
Answer:
-19.38
Step-by-step explanation:
E(x)=4,980*1/25000+1,980*2/25,000+980*3/25,000+480*5/25,000+80*10/25,000-20*24,979/25,000
E(x)=0.1992+0.1584+0.1176+0.096+0.032-19.9832
E(x)= -19.38
Find the critical value ze necessary to form a confidence interval at the level of confidence shown below
C=0.81
Zc
Answer:
1.31
Step-by-step explanation:
You invite your friend to go to Peru. Tú invitas a tu amigo a ir a Perú. Tú invitan a tu amigo a ir a Perú. Tú invita a tu amigo a ir a Perú. Tú invitamos a tu amigo a ir a Perú.
Answer:
its A
Step-by-step explanation:
PLS HELPPPPPPP CHECK THE PICTURE ABOVE PLS :((
Answer:
(6+7)
2^4
2^2
Step-by-step explanation:
Think of the order of operations or PEMDAS: Parentheses, exponents and roots, multiplication, addition, and subtraction. When solving an equation you use the order of PEMDAS.
Hello everyone! This a question on the topic of angles. Any help, please?
Find the simple interest on a $500.00 investment made for 3 years at an interest rate of 6% per year.
Answer:
SI=P ×R × T
Step-by-step explanation:
P=$500
R=6%
T=3 years
SI=500×3×6 ÷100
=$90
Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) slader
Answer:
X = 8, y = 8
Step-by-step explanation:
This question is an optimization problem. Two equations are going to be needed here
n = x+y
P = xy
Such that 64 = xy
When we divide through by x we get:
y = 64/x
So that n becomes:
n = x + 64/x
n = x+64x^-1
We take derivative
n' = 1-64x^-2
When n' = 0 then a min|max occurs
0 = 1-64x^-2
Such that:
64/x² = 1
Divide through by x²
64 = x²
x = √64
x = 8
Remember y = 64/x
So,
Y = 64/8
Y = 8.
X = 8, y = 8
Thank you!
Please solve for X and explain with steps
log₃(-2 tan(x)) = 1/2
Write both sides as powers of 3, and use the property [tex]b^{\log_ba}=a[/tex]:
[tex]3^{\log_3(-2\tan x)}=3^{\frac12}[/tex]
-2 tan(x) = √3
Then solve for x :
tan(x) = -√3 / 2
x = arctan(-√3 / 2) + nπ
x = -arctan(√3 / 2) + nπ
where n is any integer.
LET ME KNOW IF I GOT THEM ALL RIGHT PLS
Answer:
I think so
Step-by-step explanation:
A line y = mx +b passes through point (8, – 6) and is parallel to y = -x +4.
What is the value of b?
Answer:
b = 2
Step-by-step explanation:
Since the two lines are parallel, their slope is the same.
Slope = -1
The function: y = -x + b
Plug in the coordinate values to solve for b.
-6 = -8 + b
-6 + 8 = b
2 = b
b = 2
10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as
(1) 11x-10
(3) 15x - 6
(2) 13x -3
(4) 16x + 7
Answer:
15x-6
Step-by-step explanation: 4 * 2x = 8x
4*-5 = -20
7*x = 7x
7*2= 14
Combine like terms 8x + 7x + 14-20
15x-6
if you ran 4 miles in 36 minutes how many minutes would you have to run in one mile?Explain
Answer:
9 minutes
Step-by-step explanation:
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Please respond!
Answer:
24 degrees
Step-by-step explanation:
Answer:
It dropped by 24 degrees
Step-by-step explanation:
Think of this as if it were on a number line. The distance between these two points would be 24.
Hope this helps! :)
GUYS, I GOTM 1MILLIO0N DOLARS IN THE STOCK MAARKAT HOW MUCH IS 1 MILLION DOLLARS IN NE GOTIABLE US CUERENCY CONVERTED TO RUSSIAN RUBELS????/// PLS ILL GIV BRANLEST!11
Hi! I believe your answer is 77,435,300.00 Russian Rubles, which is equivalent to 1,000,000 U.S. dollars. I hope this helps you! Good luck and have a great day. ❤️✨
Answer:
76,922,200.00 RUB
Step-by-step explanation:
wow how in the heck did you do that 0-o your rich dude pls explain how u did it T-T
Please help and explain.
Answer:
Domain: All real numbers greater than or equal to 1.
Step-by-step explanation:
Answer 1: -14 is not in the domain
Answer 2: 4 is included in the domain
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (9,2).
The equation is
Answer:
y = - 4x + 38
Step-by-step explanation:
A(3, 9)
B(5, 1)
[tex]m_{AB}[/tex] = [tex]\frac{1-9}{5-3}[/tex] = - 4
CD║AB
C(9, 2)
y - 2 = - 4(x - 9)
y = - 4x + 38
solve the inequality -9 ≤ 7-8v cmon bro
Answer:
v ≤ 2
Step-by-step explanation:
Annual sales for a small boutique were $863,000in 2010. Since then the sales have increased at a rate of 2.5% per year. Find the sales in 2018
Answer:
1,035,600
Step-by-step explanation:
since the rate sales increased 2.5% per year 8*2.5=20/100=0.2*863,000=172,600 and since we already are earning 863,000 so 863,000+172,600=1,035,600
(4x)m+(5x+3)m+(5x+1)m=102
Find the sides of the triangle. Perimeter =102
Here is the set up:
Side 1 is 4x.
Side 2 is 5x + 3
Side 3 is 5x + 1
The perimeter is 102.
Perimeter = side 1 + side 2 + side 3
102 = 4x + 5x + 3 + 5x + 1
102 = 14x + 4
Take it from here.
What is 414 divided by 15? SHOW YOUR WORK!!
Answer:
the answer would be 27.6.
Step-by-step explanation:
sorry for the horrible handwriting, hopefully u can understand this!!
Two opposite rays _____ form a line.
Answer:
always
Step-by-step explanation:
Solve for x
0.5(5−7x)=8−(4x+6)
x = ???
Find the slope of (2,18) and (4,28)
5 is your answer because if you plot these on a graph you would know how many points there are in between them and there are 5
Twenty five more than twice a number is fifty five. What is the number?
Answer:
15
Step-by-step explanation:
15x2 = 30
30+25 = 55
Answer:
Step-by-step explanation:
Note all operations:
twenty-five more than → addition → +25twice a number → multiplication → ×2is fifty-five → equal to → =55Create an equation, and make the unknown number be x. 25 is added to x multiplied by 2, which, in all, equals 55:
[tex]2x+25=55[/tex]
Now solve for x. Subtract 25 from both sides:
[tex]2x+25-25=55-25\\\\2x=30[/tex]
Divide both sides by 2:
[tex]\frac{2x}{2}=\frac{30}{2} \\\\x=15[/tex]
The number is equal to 15.
:Done
CHECK:
Insert the value of x to see if it is true:
[tex]2(15)+25=55\\\\30+25=55\\\\55=55[/tex]
This is true, so the value of x is also true.
