Answer:
Step-by-step explanation:
30ab-10cg=20ac
The population of a town is 20.000. It decreases at a rate of 9% per year. In about how many years will the population be fewer than 13,000?
It will take approximately four years for the population to be fewer than 13,000.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
The population of the town is 20.000. It decreases at a rate of 9% per year.
The population of the town decreases by 20,000 × 9% = 1,800 people per year.
To determine how many years it takes for the population to fall below 13,000, you can use the formula:
= (20,000 - 13,000) / 1,800
= 3.88 ≈ 4 years
So, it will take approximately 4 years for the population to be fewer than 13,000.
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What is the least common denominator of 7/12, 7/15, and 7/24?
Answer:
120
Step-by-step explanation:
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Determine wether the relation is a function (4,0),(2,0),(1,2),(2,4),(4,4),(5,2)
Answer:
This is not a function
Step-by-step explanation:
Hope this helps
. The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.† Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night. For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes. Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample. The report concludes that on average, adults in the United States get less sleep on work nights than adults in Mexico. Is this a reasonable conclusion? Support your answer with an appropriate hypothesis test. (Use
= 0.05.
Use 1 for Mexico and 2 for the United States.)
Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n_1 = n_2 = n = 250[/tex]
The sample mean for USA is [tex]\= x_1 = 391 \ minutes[/tex]
The sample mean for Mexico is [tex]\= x_2 = 426 \ minutes[/tex]
The sample standard deviation for USA is [tex]s_1 = 25 \ minutes[/tex]
The sample standard deviation for Mexico is [tex]s_2 = 49 \ minutes[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{ \frac{s_1^2}{n_1} + \frac{s_2^2}{n_2 } } }[/tex]
=> [tex]z = \frac{ 391 - 426 }{ \sqrt{ \frac{25^2}{250} + \frac{49^2}{250} } }[/tex]
=> [tex]z = -10[/tex]
From the z table the area under the normal curve to the left corresponding to -10 is
[tex]p-value = P(Z < -10 ) = 0.00[/tex]
Generally from the value obtained we see that
The p-value is < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis. This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
Given :
The National Sleep Foundation surveyed representative samples of adults in six different countries to ask questions about sleeping habits.Each person in a representative sample of 250 adults in each of these countries was asked how much sleep they get on a typical work night.For the United States, the sample mean was 391 minutes, and for Mexico the sample mean was 426 minutes.Suppose that the sample standard deviations were 25 minutes for the U.S. sample and 49 minutes for the Mexico sample.According to the given data the sample size of the US and Mexico is [tex]\rm n_1=n_2=250[/tex].
The hypothesis are as follows:
Null Hypothesis is [tex]\rm H_0 : \mu_1=\mu_2[/tex]
Alternate Hypothesis is [tex]\rm H_1 : \mu_1<\mu_2[/tex]
Now, the mathematical representation of test statistics is:
[tex]\rm z = \dfrac{\bar{x_1}-\bar{x_2}}{\sqrt{\dfrac{\sigma^2_1}{n_1}+\dfrac{\sigma^2_2}{n_2}} }[/tex]
[tex]\rm z = \dfrac{391-496}{\sqrt{\dfrac{25^2}{250}+\dfrac{49^2}{250}} }[/tex]
z = -10
According to the z-table:
p - value = p (Z < -10) = 0
The p-value is less than [tex]\alpha[/tex] hence reject the null hypothesis.
This is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico and hence it is a reasonable conclusion given in the problem.
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Help me pleaseee (10 points)
Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
Which expression is equivalent to 3V64a^6b^7c^9?
Answer:
24a³b³c⁴[tex]\sqrt{bc}[/tex]Step-by-step explanation:
Given
3[tex]\sqrt{64a^6b^7c^9}[/tex]Equivalent expression is
3[tex]\sqrt{64a^6b^7c^9}[/tex] =3[tex]\sqrt{8^2(a^3)^2b(b^3)^2c(c^4)^2}[/tex] =3*8a³b³c⁴[tex]\sqrt{bc}[/tex]=24a³b³c⁴[tex]\sqrt{bc}[/tex]. Casey took 25 tests in 135 days. At this rate, in how many days will she take another 10 tests? You may use the ratio table below to help.
Answer rounded by nearest thousand
1.085
Answer rounded by nearest day
2
Step-by-step explanation:
25/135
make into a unit fraction
0.185/1
multiple by ten
1.85/10
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
Identify the rate of change
Answer:
The rate of change is -2
Step-by-step explanation:
I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
PLS HELP ASAP... WILL MARK BRAINLIEST!!!!
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate exterior angles with angle 5?
Answer:
2 angles
Step-by-step explanation:
only 2 angles are ternate exteriors
Answer: 12
Step-by-step explanation:
I did it
Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
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Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
Find the slope of the line through each pair of points
(3, -20), (5, 8)
Answer:
Can you try turning the 5,8 into a ratio? thats all I can think of right now
Step-by-step explanation:
Evaluate 2(5 + x2) + y if x = 3 and y = 2
Answer:
26
Step-by-step explanation:
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
A virus takes 13 days to double its original population (A = 2A0). How long will it take to triple its population? Round to
the nearest tenth.
Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
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A video game system and several games are sold for $580. The cost of the games is 3 times as much is a cost of the system. Find the cost of the system and the cost of the games. 
Answer:
The game system is 145, and the games cost 435.
Step-by-step explanation:
4x = 580
580/4=145
145x3=435 which is the cost of the games.
145 is the cost of the game system.
CAN SOMEONE HELP ME PLEASE
Answer:
B) EF
Step-by-step explanation:
A diameter the length of the line through the center that touches two points on the edge of the circle.
In this case, EF is the two points touching the edge of the circle.
HELPPPP!!!!!
my testt
Answer:
$8.50
Step-by-step explanation:
ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.
your answer is $8.50
hope this helps!
Answer:i know this is no help now but plz give my sister brainliest for what she did last year.
Step-by-step explanation:
PLEASE I NEED HELP NOW ANSWER ALL 4 QUESTIONS FOR 20 POINTS!!!
Answer:
Steak:$38
Chicken:$24.75
Fish:$16.31
Total:$79.06
Step-by-step explanation:
8 x 3 1/2 = 8 x 7/2 = 56/2 = 28
4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75
2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)
38 + 24.75 + 16.31 = 79.06
HELP ASAP ILL GIVE BRAINLIEST!!!!!
Mrs. Phillips bought 1.5 pounds of ground beef from Kroger. She paid a total of $6.75 for the ground beef. What was the price per pound?
Answer:
Price per pound is $4.50
Step-by-step explanation:
Price per pound = $6.75 / 1.5lb = $4.50/lb
Answer:
Price per pound of ground beef is $4.5
Step-by-step explanation:
Price of 1.5 pounds of ground beef = $6.75
We need to find price per pound of ground beef.
Solving:
For finding cost of 1 pound of apples, we will divide cost of 1.5 pounds of ground beef by 1.5. i.e
Price of 1.5 pounds of ground beef = $6.75
Price of 1 pounds of ground beef = $6.75/1,5
= $ 4.5
So, price per pound of ground beef is $4.5
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
What is the first step to solving the division problem below?
Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.
Answer:
divide 15 into 82 to get 5 is the first step
Step-by-step explanation:
Answer:
The answer is A, ¨Divide 15 into 82 to get 5.¨
Step-by-step explanation:
Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye
Don’t PUT A Random Answer PLEASE
Answer:
314
Step-by-step explanation:
Answer:
ok I won't
Step-by-step explanation:
The ratio of male employees to female employees is 1:3. If there are 144 female
employees in total, how many males are there?
Answer:
There are 48 male employees.
Step-by-step explanation:
144 divided by 3 = 48
48 x 1 = 48
Therefore there are 48 male employees.
[tex] \frac{1}{ax} - \frac{1}{bx} = 1[/tex]
can someone ease explain how this is possible. right now I have tried everything from the back of my head and nothing seems to work. Thanks!
Answer:
x= 1/a-1/b
Step-by-step explanation:
use math.way
The answer to your question is 1 because:
'ax' and 'bx' have no values, they are missing numbers.
We have to cancel out one 1, and our answer is 1.
Carry on Learning!
At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies