The population in Smalltown in 2010 was 45,230 people and is growing at a rate of 2%. What will the population be in 2030?
Answer:
67475
Step-by-step explanation:
Let P(t) = population t years after 2010
= 45230e0.02t
Population in 2030 = P(20)
= 45230e0.4≈ 67475
plz plz plz help asap
The yield of a chemical process is being studied. Fromprevious experience, yield is known to be normally distributedand 3. The past five days of plant operation have resulted inthe following percent yields: 91.6, 88.75, 90.8, 89.95, and 91.3.Find a 95% two-sided confidence interval on the true mean yield.
Answer:
(87.85 ≤ μ ≤ 93.11)
Step-by-step explanation:
Given the data:
91.6, 88.75, 90.8, 89.95, 91.3
Mean, m = Σx / n
n = sample size = 5
Mean = 452.4 / 5 = 90.48
Standard deviation, σ = 3
Zcritical at 95% = 1.96
Confidence interval :
Mean ± Error margin
Error margin = Zcritical*σ/sqrt(n)
Error margin = 1.96 * 3/sqrt(5)
Error margin = 2.630
Lower boundary : 90.48 - 2.630 = 87.85
Upper boundary : 90.48 + 2.630 = 93.11
(87.85 ; 93.11)
Arithmetic mean of marks (out of 25) scored by 10 students was 15. One of the student, named Karishma enquired the other 9 students and find the deviations from her marks are noted as −8,−6,−3,−1,0,2,3,4,6. Find Karishma's marks?
Answer:
Krishna's marks x marks
so...
xˉ=15
xˉ=15n=10
xˉ=15n=10∑x=x+x−8+x−6+x−3+x−1+x+x+2+x+3+x+4+x+6=10x−3
15=10x-3/10
150+3=10x
x=150/10=15.3 marks
Krishna scored 15.3 marks.
hope it helps you sis...
NO LINKS PLEASE HELP ME
Answer
angle 5 = 31°
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
Angles 1, 5, and 6 combine to form a straight line, which is 180 degrees, so add 56 and 93 and subtract that from 180
Pamela has a rectangular rug with an area of 90 square feet. The rug is 9 feet longer
than it is wide. Find the width of the rug.
w = 15 feet
w = 6 feet
w = 10 feet
w = 9 feet
HELP PLEASEEE
Answer:
its 10
Step-by-step explanation:
area of rectangle =length×width.
so,
90=9×b
90/9=b
b=10.
Please help!!!!!!!!!!!!!!!!!!!!!!!!Maurice just bought a new home. The home can be represented by the function y = 200,000(1.025)^x
Activity 1 of 2
Part A: What is the growth rate of the value of Maurice's home each year after 2000?
Ο Α. 97.5%
B.
0.025%
0 C.
102.5%
D.
2.5%
Part B: What would the property value of Maurice's home be after 40 years?
O A. $537,000
O B. $419,500
C. $510,000
D. $501,000
Find the radius of a sphere whose volume is 12345mm
Answer:
14.34mm
Step-by-step explanation:
The formula for the volume of a sphere = 4/3nr³
where
n = 22/7
r = radius
give the volume of the sphere, we can determine the radius
12345 = 4/3 x 22/7 x r³
12345 = 88/21 x r³
divide both sides by 21/88
r³ = 2945.965909
take the cube root of both sides
r = 14.34 mm
Select the correct product.
(x2 + 4x + 8)(2x - 1)
x2 + 8 x - 8
x2 + 6 x + 7
2 x3 - 7 x2 - 12 x - 8
2 x3 + 7 x2 + 12 x - 8
Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
Answer:Answer:
2 x^3 + 7 x^2 + 12 x - 8
Step-by-step explanation:
To find the product you just had to simplify the expression.
during a particular period a university's information technology office received 20 service orders for problems with printers, of which 8 were laser printers and the rest are inkjet printers a sample of 5 of these service orders is to be selected for inclusion in a customer satisfaction survey what is the probability that 3 were laser printers
Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
20 orders means that [tex]N = 8[/tex]
8 were laser printers, which means that [tex]k = 8[/tex]
Sample of 5 means that [tex]n = 5[/tex]
What is the probability that 3 were laser printers?
This is P(X = 3).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384[/tex]
0.2384 = 23.84% probability that 3 were laser printers.
The higher interest rate of a cash advance on a credit card with an existing balance can be eliminated by paying the
cash advance back within four weeks.
Please select the best answer from the choices provided
A.т
B.F
Answer:
False
Step-by-step explanation:
EDGE 2021
You start at (2, -1). You move right 3 units and up 4 units.
Where do you end?
Answer:
(5,3)
Step-by-step explanation:
Answer:
(5, 3)
Step-by-step explanation:
(x, y)----> (x + 3, y + 4)
(2, -1)----> (2 + 3, -1 + 4)
(5, 3)
addie spent 4.32 on 6 cherry-flavored popsicles. find the unit rate
Answer:
$0.72
Step-by-step explanation:
4.32 dollars per 6 popsicles.
4.32 / 6 = 0.72 per popsicle.
I need help fast Estimate 81/4
Answer:
Step-by-step explanation:
20.25
hope it helps
Which
Charles factors the expression 9 x + gx using a factor of 5 x. He writes the factored expression as 3 «(4x+1).
best describes the accuracy of Charles's solution?
His solution is accurate,
His solution is inaccurate. The factor does not divide evenly into both terms.
O His solution is inaccurate. The factoring of g xy using the given GCF is incorrect.
His solution is inaccurate. The factoring of 3 using the given GCF is incorrect.
Step-by-step explanation:
Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.
i hope you understand
One interior angle of a triangle is 60⁰. The other angle measures are x⁰ and y⁰. Which of the following could be the values of x and y? Select all that apply. A. x = 50, y = 90 B. x = 45, y = 45 C. x = 40, y = 80 D. x = 100, y = 20 E. x = 60, y = 60
Answer:
B,C,D
Step-by-step explanation:
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answer:
only 3
Step-by-step explanation:
Level 2: Find the area of the shape:
8 ft
6 ft
14 ft
5 ft
5 ft
Area:
ft2
Help please!!!!
Step-by-step explanation:
a triangle is the area of 2
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
If a man can stack 30 bricks in 6 hours at that rate how many bricks can he stack in 33hours
Answer:
165 bricks
Step-by-step explanation:
Bricks Hours
30 6
5.5 5.5
-----------------------------------
165 33
so what i did to get it was to first divide 33 by 6 and got 5.5 so i multiply it to by the other number and got 165 bricks in 33 hour hope this helps
The largest swimming pool in the world is San Alfonso del Mar pool in Algarrobo, Chile. It is 1,013 meters long. How long is the pool in kilometers? Show your work.
Answer:
1.013km
Step-by-step explanation:
1000m=1km
1m=1/1000km=0.001km
1013m=(1013*0.001)km=1.013km
If , then what is –K
Asap!!!
Answer:
I think C
I see a pattern
Do the opposite of their signs in the same number pattern just do their opposite sign.
7÷0.1
=_______÷_______
1 Whole, 7 tenths, 1 tenth, or 7 wholes
Dose anybody know or can help please.
Answer:
7 wholes / 1 tenth
Step-by-step explanation:
How many solutions will the system of linear equations have: y = x + 6 and 3x - 3y = -18
Answer:
If i'm not mistaken, infinite because its linear which is a straight line that goes on forever
Step-by-step explanation:
Choose the correct symbol to
compare these numbers.
0.480 [?] 4.8
Answer: >
Step-by-step explanation:
A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?
Answer:
6 square feet
Step-by-step explanation:
Area = L * w
26 = L * 4 1/3
26 = L * 13/3
L = 26 divided by 13/3
L = 26 * 3/13 = 6
answer = 6
Here are the boiling points of certain elements in degree Celsius:
•Argon: -185.8
•Chlorine: -34
•Fluorine: -252.87
•Krypton -153.2
List the elements from least to greatest boiling points.
Answer:
Fluorine
Argon
Krypton
Chlorine
What is the diameter of a 5mm circle?
Answer:
If the radius is 5mm, the diameter is 10mm.
Step-by-step explanation:
5*2=10
Which of the following are solutions of 2x < 26?
Ox=5
G
Ox=
= 10
= 15
or=20
8
Answer:
2. is the answer,
Step-by-step explanation:
A parallelogram has a height of 3.5 feet and a base measurement of 12 feet. What is the area of a triangle that has the same height and base measurement?
42 ft2
28 ft?
O2112
15.5 ft2
Answer:
42 ft 2 is the closest answer I got