Answer:
Random samples are more likely to contain data that can be used to make predictions about a whole population. The size of a sample influences the strength of the inference about the population.
Step-by-step explanation:
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 2 5 8 11 14
b) 9 11 13 15 17
Answer:
a) [tex]a_n=3n-1[/tex]
b) [tex]a_n=2n+7[/tex]
Step-by-step explanation:
a) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
14 - 11 = 3
11 - 8 = 3
8 - 5 = 3
5 - 2 = 3
(so the common difference = 3)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=2[/tex][tex]d=3[/tex][tex]\implies a_n=2+(n-1)3[/tex]
[tex]\implies a_n=2+3n-3[/tex]
[tex]\implies a_n=3n-1[/tex]
b) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
17 - 15 = 2
15 - 13 = 2
13 - 11 = 2
11 - 9 = 2
(so the common difference = 2)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=9[/tex][tex]d=2[/tex][tex]\implies a_n=9+(n-1)2[/tex]
[tex]\implies a_n=9+2n-2[/tex]
[tex]\implies a_n=2n+7[/tex]
6) Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45.20 per person. Determine how many people can go kyacking
Answer:
6 people can go
Step-by-step explanation:
341-30=311
311-45.2x=0
45.2x=311
x=6.88
6.88 people can go but .88 of a person doesnt exist
The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.
The probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
What will be the probability?we know that the formula for probability is given by
[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]
where,
Z = Z score,
X = raw score,
μ = mean,
σ = standard deviation,
The probability of the students to be selected randomly between 350 and 550 will be given as
[tex]=P(350 < X < 550)[/tex]
[tex]=P(350-500 < X-500 < 550-500)[/tex]
[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]
[tex]=P(-1.36 < Z < 0.45)[/tex]
[tex]=P(Z-1.36)-P(Z-0.45)[/tex]
[tex]=(0.9131-0.6736)[/tex]
[tex]=0.2395[/tex]
Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
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You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?
Answer:
10 hours
Step-by-step explanation:
Please help me solve 5 and 4!
What is the image of (x,y) after a translation of 3 units left and 7 units down?
Answer:
[tex](x + 3, y - 7)[/tex]
Step-by-step explanation:
Given
[tex]Function = (x,y)[/tex]
Translation:
[tex]Left = 3\ units[/tex]
[tex]Down = 7\ units[/tex]
Required
Determine the image of the function
Apply the first translation
[tex]Left = 3\ units[/tex]
When function (x,y) is 3 units translated left, we add the units to the x value.
The new function becomes:
[tex](x,y) -> (x + 3, y)[/tex]
Apply the second translation
[tex]Down = 7\ units[/tex]
We subtract 7 units from the y value
[tex](x,y) -> (x + 3, y)[/tex]
becomes:
[tex](x + 3, y) ->(x + 3, y - 7)[/tex]
Hence:
The image of the function is:
[tex](x + 3, y - 7)[/tex]
What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2
Please evaluate this equation, and explain how you got the answer.
Answer:
3 = f
Step-by-step explanation:
3(6 - f) - 4 = 3f - 4
Distribute within Parenthesis
18 - 3f - 4 = 3f - 4
Combine like terms
14 - 3f = 3f - 4
Add 3f on both sides of the equation
14 = 6f - 4
Add 4 on both sides of the equation
18 = 6f
Divide by 6 on both sides of the equaiton to get your answer of
3 = f
Hope this helps :)
if you drive 25 miles at a rate of 50 miles per hour. how long will this take?
Answer:
30 minutes
Step-by-step explanation:
50/25 =2 x 15 = 30
Ameezy has four times as many water bottles
as Beetle does. If the two of them have a
combined total of sixty bottles, how many
more bottles does Ameezy have than Beetle?
Answer:
30
Step-by-step explanation:
15 x 4 = 60, which means that Beetle has 15 bottles of water and that Ameezy has bottles. 45 - 15 = 30.
Hope this helps :)
Answer:
36 bottles.
Step-by-step explanation:
If you wrote them out, like 1 over 4, 2 over 8, and added up their totals at the bottom, you would eventually reach 60. The last column has 12 over 48, so we subtract 12 from 48, which gives us 36. So the answer is 36 bottles.
Hope this helped!
Use the circle below to answer the question.
R
680
с
S
The circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?
Answer:
m∠QPS = 112
Step-by-step explanation:
Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.
The opposite angles in a cyclic quadrilateral add up to 180°.
⇒ m∠QPS + m∠QRS = 180°
⇒ m∠QPS + 68° = 180°
⇒ m∠QPS = 180° - 68°
⇒ m∠QPS = 112°
what is the equation of the line that passes through the point (-3,7) and has a slope of 1/3
Answer:
y = 1/3 x + 8.
or in standard form:
x - 3y = -24.
Step-by-step explanation:
To answer this we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here we have m = 1/3 and (x1, y1) = (-3, 7), so:
y - 7 = 1/3(x - (-3))
y - 7 = 1/3( x + 3)
y - 7 = 1/3 x + 1
y = 1/3 x + 8 .
This is the slope-intercept form of the equation.
Converting to standard form, we first multiply by 3:-
3y = x + 24
- x + 3y = 24
x - 3y = -24.
Find the area of the circle with the diameter of 16
Answer:
64 [pi]
Step-by-step explanation:
pi r²=pi (8) 2=64 pi [use the symbol]
hope this helps! :)
Answer:
803.84
Step-by-step explanation:
A=3.14r^2
A=3.14x16^2
16x16=256
256x3.14=803.84
Hope this helps : )
A(5, -6) is called an ?
Ellie deposited $650 into her savings account. She then saved $150 per month.the amount in Ellie’s savings account after t months
Answer:
$650+$150x
Step-by-step explanation:
Base number and 150 is added per month.
simplify 2 1/3 + 1 3/10 - 3 2/15
please help me quick i will mark you as brainliest and this question also gives 18 points
Answer:
7
Step-by-step explanation:
2 x 1/3 + 1 x 3/10 - 3 x 2/15
Multiplying each Side by the LCM which is 30
u will get 10 (2x1) + 3 (1x3) - 2 (3x2)
10(2) + 3(3) - 2(6)
20 + 9 -12
19 -12
7
A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.
A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.
The dealer used the data from the frequency table to create this conditional relative frequency table by column.
A car is from the previous model year, there is a 10% chance that it is a coupe.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Step-by-step explanation:
The person above me is correcttt~
edge2022
good luck! :)
~nxmbus
what is the perimeter of rectangle JKLM
Find lengths by reasoning shortcut
JK=6-1=5unitsJM=6-3=3unitsIts a rectangle
Perimeter:-
2(JK+JM)=2(5+3)=2(8)=16units
Answer:
Perimeter = distance around a two-dimensional shape
⇒ Perimeter of a rectangle = (2 × width) + (2 × length)
From inspection of the diagram:
width = 3 unitslengths = 5 units⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)
= 6 + 10
= 16 units
A bank offers a savings account that earns 0.5% interest each month.
Write an equation for the balance of the savings account after Y months.
Given an initial deposit of 500$ what will the account balance be after 15 months.
Answer
Step-by-step explanation:
This is exponential growth, so we would use the following equation
y=a(b)^x
500(1.005)^15
1. Initial amount is $500, since that's what we started with.
2. Add the following percentage by 100%
100%+0.5%= 1.005
3. We need to find the account balance after 15 months so raise it to the 15th power.
y= 500(1.005)^15
The balance after 15 months will be $538.84.
bye~~
A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?
Answer:
y=-2x+7
enter the point into point slope form to find the slope and then use one of the points in point slope form and rearrange it to have y by itself
The numbers 20 through 30 were written on individual cards and placed in a bag. If you take one card from the bag, what is the probability that it will not have the digit 2 on it?
Answer:
1/10
Step-by-step explanation:
20 21 22 23 24 25 26 27 28 29 30
X. X. X. X. X. X. X. X. X. X. V
1/10
20-29 all have a 2 in it meaning 30 is the only digit that doesnt have a 2 so 1/10 numbers
If one card taken from the bag then the probability that will not have the digit 2 on it is 1/11.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Numbers from 20 to 30 are written on individual cards.
The total numbers of cards = 11
And numbers on cards = 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
To find the probability of cards that have not the digit 2 on it.
Since, there is only one digit 30, which does not have digit 2,
Therefore, probability = favorable outcome / total outcome
= 1 / 11
The required probability of choosing a card that will not have the digit 2 on it is 1/11.
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#SPJ2
how do you subtract 8.43x^3 - 2.7x10^2
Answer:
Step-by-step explanation:
I tried this on a calculator but you could also do it on paper hope this helped!
what are some ways to write 4 times x
Answer:
Some ways to write 4 times x are: 4x, 4*x
⚠️⚠️ HELP IMAGE IS QUESTION !! MARKING BRAINLIEST,, if you could explain ⚠️⚠️
Answer:
C
Step-by-step explanation:
it’s the only one that is a line
Answer:
c because the line is straight
Step-by-step explanation:
in order for a line on a graph to be linear it must have the same rise over run so the line would have to be strait
ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!! WITH WORK PLEASE!!!
Answer:
14,10
Step-by-step explanation:
8=(x+2)/2
16=x+2
x=14
4=(y-2)/2
8=y-2
y=10
Answer:
Step-by-step explanation:
Rebecca ran the width of a field, a distance of 60 yards. Then she ran the length of the field,
a distance of 80 yards. Finally, she ran diagonally across it to get back to her starting point.
How far did Rebecca run?
Answer:
170 yards
Step-by-step explanation:
First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)
1st: Up along the width |
2nd: sideways along the length ----
3rd: diagonally back to the starting point /
This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.
Equation representation:
60 + 80 = 140 yards
x = 60 divided by 2
x = 30 yards
60 + 80 + 30 = 170 yards
Have a great rest of your day
#TheWizzer
find h(-8) given the function h(x)=| 2x+7 |
Answer:
9
Step-by-step explanation:
h(x)=| 2x+7|
h(-8)= |2(-8)+7|
= |-16+7|
=|-9|
=9
how many bases does a rectangular pyramid have?
Answer:
it has a 4 sided,1 base
Step-by-step explanation:
Answer:
One base, look at the image I uploaded;
Number 5 please I’m having trouble
Answer:
B
Step-by-step explanation:
you would just divide 37 from 8659
2sinx-1= 0
Pls help me solve
Answer:
x = 30°
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
x = 30°
Answer:
x = nπ + ( -1 )π π/6, where n is the integer
Step-by-step explanation: