Answer:
standard deviation on edge
Step-by-step explanation:
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
The standard deviation is the statistic that should be used to compare the spread of two sets of data.
The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.
By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.
Thus,
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
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Find x.
8x-4=4x+12
Thank you!!
Answer:
4
Step-by-step explanation:
8x - 4 = 4x + 12
Add 4 to both sides:
8x = 4x + 16
Subtract 4x from both sides:
4x = 16
Divide by 4 from both sides"
x = 4
WILL MARK BRAINLIEST Evaluate (8xy³- 2x²- 3x + 1) ÷ (x - 1) WITH SOLUTION
Answer:
Given:f(x)=2x^2-3x-1
Then,f(-1)=2(-1)^2-3(-1)-1
f(-1)=2(1)+3-1
f(-1)=5-1
f(-1)=4
Step-by-step explanation:
Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.
Answer:
2+2 =22. ♀️ ................
how to find the slope of 1,4 and 0,11
Answer:
y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2
Step-by-step explanation:
7 i believe
Answer:
y2-y1/x2-x1
11-4/1-0
7/1
slope = 7
What is the value of the first term in an=n+6?
HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
When you look at the blueprint, the lengths of the walls on the drawing are 7.5 inches by 9 inches. What
is the scale used on the blueprint?
The Scale used on blueprint is 1 inches represents 4/3 feet
Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.
Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:
Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet
1 inches = 4/3 feet
The Scale used on blueprint is 1 inches represents 4/3 feet
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Convert into an exponential expression
Answer:
Step-by-step explanation:
Which statement best explains why the sum of the areas of the two white squares in Figure two is the same as the area of the white square in figure one
Answer:
Statement 1 best explains why the sum of the areas of the two white squares in fig 2 is the same as the area of the white square in fig 1.
Step-by-step explanation:
Statement 1:
In each figure the total area is equal and the area of 4 triangles is equal, so the remaining white area must also be equal.
Explanation:
Total area of each square = ab*ab
Fig 1 has 4 triangle each with area = ab/2
Total area of non-white part in fig 1 = 4*(ab/2) = 2*ab
Fig 2 has 2 non-white rectangles each with area = a*b
Total area of non-white rectangles in fig 2 = 2*ab
As non-white area of fig 1 = non-white area of fig 2
The remaining white area must also be equal.
covert 104% into a decimal
Answer:
104 divided by a 100
1.04
Step-by-step explanation:
it is the same as moving the decimal two places to the left
15 POINTS! NEED ANSWER RIGHT AWAY!!!
Select from the drop-down menus to correctly complete the statements about the expression 5k + m/3.
The expression 5k + m/3 is a Choose… [sum or difference]. The term 5k is an addend, but it is also a Choose…[product or difference]. The term m/3
is an addend, but it is also a Choose…[sum or quotient].
Answer:
911
Step-by-step explanation:
The expression 5k+m3 is a sum. The term 5k is an addend, but it is also a product. The term m3 is an addend, but it is also a quotient.
In the year 2000, the population of Florida was 16 million people. Since then, the population has grown at least 2% each year. How many years will it be before the state's population is at least 30 million people? Round to the nearest tenth of a year.
Using an exponential function, it is found that it will take 31.7 years for the state's population to be of at least 30 million people.
An increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
The initial population is of 16 million people, hence [tex]A(0) = 16[/tex].The growth rate is of 2%, hence [tex]r = 0.02[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 16(1 + 0.02)^t[/tex]
[tex]A(t) = 16(1.02)^t[/tex]
It will be 30 million after t years, for which A(t) = 30, hence:
[tex]A(t) = 16(1.02)^t[/tex]
[tex]30 = 16(1.02)^t[/tex]
[tex](1.02)^t = \frac{30}{16}[/tex]
[tex](1.02)^t = 1.875[/tex]
[tex]\log{(1.02)^t} = \log{1.875}[/tex]
[tex]t\log{1.02} = \log{1.875}[/tex]
[tex]t = \frac{\log{1.875}}{\log{1.02}}[/tex]
[tex]t = 31.7[/tex]
It will take 31.7 years for the state's population to be of at least 30 million people.
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( 1 - 7n) times 5
What are the steps to solving it?
Answer:
5 - 35n.
Step-by-step explanation:
5(1 - 7n)
Using the Distributive Law:
= 5*1 + 5 *-7n
= 5 - 35n.
List the congruent sides.
Answer:
PQ≅ST; QR ≅TW; PR ≅SW
Step-by-step explanation:
Please help ill mark brainlyst please
Answer:
x = 8°
y = 21°
Step-by-step explanation:
27 + 3y = 90
3y = 63
y = 21°
x + 8x + 18 = 90
9x = 72
x = 8°
WILL GIVE 25 PONITS! ANSWER CORRECTLY! (in attachments)
Answer:
you got to do it
Step-by-step explanation:
What is the symbol for a square root
Answer:
The symbol for a square root is [tex]\sqrt{}[/tex].
:)
Answer:
√
Step-by-step explanation:
Math=Explanitory
I'll also give brainliest to the first to answer
1+1=x
A) x=1
B) x=2
C) x=3
D) x=4
Answer:
B) x = 2
Step-by-step explanation:
1 + 1 = x
2 = x
1 + 1 = 2
What is the slope of the line ( part 2 )
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
Same as last time, take any 2 points you want:
(0, 3) and (4, 1)
Use the slope formula to calculate the slope:
[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]
On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.
A packet of Hobnobs claims to be 24% bigger!!
It now contains 31 biscuits. How many did it have before?
Answer:
25
Step-by-step explanation:
124% = 31
1% = 0.25
100% = 25 biscuits
...YUMMY!
Answer:
24
Step-by-step explanation:
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answer:
9.5 hours
Step-by-step explanation:
The product of two consecutive positive odd numbers is 195.By constructing a quadratic equation and solving it, find the two numbers
Please help
Step-by-step explanation:
x = one odd number
the second odd number is (x+2), as both are consecutive.
so,
x × (x + 2) = 195
x² + 2x = 195
x² + 2x - 195 = 0
the formula to solve this is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -195
x = (-2 ± sqrt(4 - 4×1×-195))/(2×1) =
= (-2 ± sqrt(4 + 4×195))/2 = (-2 ± sqrt(784))/2 =
= (-2 ± 28)/2 = -1 ± 14
x1 = -1 + 14 = 13
x2 = -1 - 14 = -15 which is invalid as the numbers are positive.
so, the two numbers are 13 and 15.
Rewrite 1/3 book for 5/6 an hour as a unit rate.
A.2/5 book/an hour
B. 1/5 book/hour
C. 2 1/2 books/hour
D. 5 books/hour
Answer:
A
Step-by-step explanation:
The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.
Answer:
a. Use two sets of coordinates to write an equation to describe the relationship.
m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]
y = 8x
b. Interpret the equation in words.
Each roller coaster car holds 8 passengers.
Choose all of the proportional relationships that have a greater unit rate than the unit rate of this graph.
10
9
8
7
6
5
4
3
2
1
5
7
B
00
9 TD
X
y
2
5
10
15
low
y
3
6
9
6
12
18
6
y = 2x
y = 0.25%
y
2
4
y
3
6
9
8
16
24
8
12
The proportional relationships that have a unit rate that is greater than that of the one of the graph are: the first and third tables, and y = 2x.
How to Determine the Unit Rate of a Proportional Relationship?The unit rate can be calculated as, m = y/x. In an equation that represents a proportional relationship, y = mx, the value of m is the unit rate.
Using a point on the graph, (5, 2):
Unit rate of the graph = y/x = 2/5
Unit rate = 0.4.
Unit rate for the first table = 3/5 = 0.6 [greater than 0.4]
Unit rate for the second table = 2/6 = 0.3 [less than 0.4]
Unit rate for y = 2x, is 2 [greater than 0.4].
Unit rate for y = 0.25x, is 0.25 [less than 0.4].
Unit rate for the third table = 2/4 = 0.5 [greater than 0.4]
Unit rate for the second table = 3/8 = 0.375 [less than 0.4]
Those that have a unit rate that is greater than the one of the graph are: the first and third tables, and y = 2x.
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x÷12;x=2/3 Help ASAP please.
Answer:
I think this is it 2/36=1/18
Step-by-step explanation:
if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.
2/3x1/12= 2/36
simplified 1/18
To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *
Answer:
operations
Step-by-step explanation:
to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.
Boris buys a car for $23,000. The value of this car reduces by 8% each year. Find the number of complete years it takes for the value of the car to fall below $11,500.
Answer:
2 years
Step-by-step explanation:
casue if you multilpy 2 x 11,500 you get 23,000
This is a multi-part question you will refer back to this and other finished parts to help answer this and future questions
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following Johnny was asked how long it will take the population to reach 1/2 of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a
Johnny was asked how long it will take the population to reach
complete sentence) Please help.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
The given parameters are:
[tex]\mathbf{a =10000}[/tex] --- the initial population
[tex]\mathbf{r =0.3\%}[/tex] -- the declining rate
Population are always modelled using exponential function.
This is represented as:
[tex]\mathbf{y = a(1 - r)^x}[/tex]
Where y represents the population in x years.
So, we have:
[tex]\mathbf{y = 10000(1 - 0.3\%)^x}[/tex]
[tex]\mathbf{y = 10000(1 - 0.003)^x}[/tex]
[tex]\mathbf{y = 10000(0.997)^x}[/tex]
When the population reaches half, then y = 5000.
So, we have:
[tex]\mathbf{5000 = 10000(0.997)^x}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = 0.997^x}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^x}[/tex]
Apply law of logarithm
[tex]\mathbf{log(0.5) = xlog(0.997)}[/tex]
Make x the subject
[tex]\mathbf{x = log(0.5) \div log(0.997)}[/tex]
[tex]\mathbf{x = 230.7}[/tex]
This means that the population will become half the original population in 230.7 years.
The assumption Johnny made is that, none of the residents of the town will live up to 230.7 years.
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A line has a slope of -4. The line passes through the point (-2,1). What is the point- slope form of the line?
A. y - 1 = -4 (x + 2)
B. y - 4 = -2 (x - 1)
C. y - 1 = 4 (x - 2)
D. y - 2 = -4 (x - 1)
Answer:
A y - 1 = -4(x + 2)
Step-by-step explanation:
point-slope form: [tex]y - y_{1} = m(x -x_{1} )[/tex]
y - 1 = -4(x -(-2) )
y - 1 = -4(x + 2)
The base of a triangle is 13 cm rounded to the nearest integer.
The perpendicular height of the triangle is 4.7 cm rounded to 1 dp.
Write the error interval for the area, a, of the triangle in the form m ≤ a < n.
Answer:
30.55 <_ a < 30.55
Step-by-step explanation:
a = 1/2 × b × h
a = 1/2 × 13 × 4.7
a = 30.55 cm^2
30.55 <_ a < 30.55