Answer: The sum of two prime numbers is always even (which is composite).
Hope this helped :)
The scatter graph shows the maximum temperature and the numbers of hours of sunshine in 13 British towns in one day.
A line of best fit has also been drawn.
One of the points in an outliner.
a) Write down the coordinates of this point. (1)
b) For all the other points write down the type of correlation in just one word. (1)
On the same day, in another British town, the maximum temperature was 17.4C.
c) Estimate the number of hours of sunshine in this town on this day. (2)
You must use the drawing tool to show how the line of best fit has been used to get your answer.
A weatherman says that temperatures are lower on days when there is less sunshine.
d) Does the scatter graph support this? (1)
A yes B no C can't say
Total marks: 5
Answer:
See attached worksheet.
Step-by-step explanation:
The worksheet summarizes the steps for analyzing the data on the graph. Note that a "line of best fit" was drawn to help illustrate the linear behavior of the data, and to better the question concerning hours of sunshine in another British town. There are techniques for ensuring a line such as this fits the actual data as closely as possible. These techniques draw a line that has the least overall deviation from the actual data. For our purposes, a hand-drawn line appears to match the data reasonably well, so we are able to concule that the relationship is liner: There is a proportional change in y for every set change in x. That change is known as the slope. The slope of this liner would represent the direct relationship between hours of sun and maximum temperature.
At a baseball game, a vender sold a combined total of sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
The number of sodas sold is 168
The number of hot dogs sold is 56
Total of sodas and hot dogs=224
Let the number of sodas sold be s, and the number of hot dogs sold be s
So we have the following:
s=3h.................i
s+h=224..........ii
we solve the two equation to find the value of s and h,
From equation ii, s=224-h, replacing this in equation i, we have:
224-h=3h
224=4h
h=56
Now, s=3*56
=168
s=168
Number of sodas=168
Number of hot dog sold=56
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The complete question is given below;
A vender sold a combined total of 224 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Commuting Distances (in miles)
The commuting distances in miles of 10 employees were used to make the box plot shown above. Which of the following is the median of the set of commuting distances? (please no long paragraphs or answers that aren't even there)
A. 30
B. 25
C. 28.5
D. 27.5
Answer:
The answer is gonna be B. Sorry if I’m late :((
Step-by-step explanation:
Answer: 25
Step-by-step explanation:
If a, b, and c are positive prime numbers, in the equation a - b = c, either b or c must represent which number?
The value of prime numbers c in the equation is c = 2.
What is prime numbers?
Those greater than one are known as prime numbers. They simply have two variables, the number itself and factor 1.
We have given that a - b = c requires all of the integers to be positive prime numbers,
c can only have one outcome, which is 2.
[tex]e.g., 13 - 11 = 7 - 5 = 2.[/tex]
Hence in the given prime numbers c in the equation is c = 2.
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The depth of the water on the shore of a beach varies as the tide moves in and out. The equation
D(t) = 0.75 cos (t) + 1.5 models the depth of the water, D(t), in feet and t as time in hours.
1. When will the tide be at its lowest for the first time when t > 0?
A) 3
B) 6
C) 9
D) 12
Answer:
C) 9 hours
Step-by-step explanation:
as per your picture the equation is
D(t) = 0.75×cos(pi/6 × t) + 1.5
the function cosine continuously "waves" from +1 to -1 and back.
the lowest value of this function for the first time after t>0 is when the cosine part reaches -1 the first time.
that is at 270° or 3pi/2.
so,
pi/6 × t = 3pi/2
1/6 × t = 3/2
t = 3×6/2 = 3×3 = 9
what do you call the result of this opperation 2x+5
Answer:
addition?
Step-by-step explanation:
Bobbi wants to buy a bandana that costs 3.75$ But she has only 7.75$ in her budget what is her budget deficit
The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00 thus option (B) is correct.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
Cost of bandana = $3.75
Budget = $0.75
Budget deficit = $3.75 -$0.75
⇒ $3.00
Hence, "The budget deficit is how much less the budget is to buy a thing, thus Bobbi has the budget deficit as $3.75 - $0.75 = $3.00".
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The given question is incorrect, the correct question follows;
Bobbi wants to buy a bandanna that costs $3.75, but she has only $0.75 in her budget. What is her budget deficit?
A. $0.20
B.$ 3.00
C. $5.00
D.$4.50
Draw the graph of y=3 -1/2x
The graph of the function y=3 -1/2x is attached below.
Function:
Function refers the relationship between inputs where each input is related to exactly one output.
Given,
Here we have the function y=3 -1/2x.
Now, we have to plot the graph of the function.
In order to plot the graph of the function, we have to take some sample values for x.
So, we will take the values of the x as -2, -1, 0, 1, 2.
Now, we have to apply the values on the given function then we get,
=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4
=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5
=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3
=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5
=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2
When we enter these values into the table, then we get the table like the following.
By using the table we have to plot the graph and then we get the graph like the following.
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Does the relation shown in the diagram below represent a function? Explain why or why not
The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
Given that,
In the picture we can see the domain and range.
We have to find if the domain and range is function or not.
Each of the sets of domain values has precisely one range value, according to the mapping.
Every domain value in a relation must have precisely one range value in order for it to be referred to as a function. It is not recommended to assign or map a domain value to more than one range value.
Therefore, The relation is function because each value in the domain matches only one value in the range, the relationship described above can be thought of as a function.
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Write an absolute value equation representing all numbers x whose distance 7 is 3 units
Answer:
|x-7|=3
Step-by-step explanation:
x is 3 units away from 7
x-3=7
x-7=3
x+3=7
3=7-x
|x-7|=3
Sarah plays basketball. In her last game, she scored 24 points
from 2-pointers and 3-pointers. She made a total of 10 baskets.
How many 2-pointers and 3-pointers did she make? (Let x
represent the number of 2-pointers she made, and let y represent
the number of 3-pointers she made.)
Taking into account the definition of a system of linear equations, the number of 2-pointers and 3-pointers Sarah made is 2 and 3 respectively.
System of linear equationsA system of linear equations is a set of equations relating two or more unknown values, the goal of which is to determine those values so that the equations are true.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.
This caseIn this case, a system of linear equations must be proposed taking into account that:
x represent the number of 2-pointers Sarah made.y representthe number of 3-pointers Sarah made.You know:
In her last game, Sarah scored 24 points from 2-pointers and 3-pointers.She made a total of 10 baskets.The system of equations to be solved is
x + y= 10
2x+3y= 24
It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
In this case, isolating the variable "x" from the first equation:
x= 10 - y
Replacing this expression in the second equation:
2×(10-y)+3y= 24
Solving:
2×10 -2y +3y= 24
20 -2y +3y= 24
-2y +3y= 24 - 20
y= 4
Remembering that x= 10 -y, you get:
x= 10 -4
x= 6
Finally, the number of 2-pointers Sarah made is 2 and the number of 3-pointers she made is 3.
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Graph the line that passes through the points (-9,8) and (-7,8) and determine the equation of the line
ans=y=8
look for the gradient[tex] \frac{change \: in \: y}{change \: in \: x?} [/tex]
change in y8-8=0
change in x-7--9=2
hence the gradient is 0÷2=0
looking for the equationgradient(0)=
[tex] \frac{y - 8}{x - - 9?} [/tex]
so..,0=y-8
hence the equation is y=8
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.
The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1
How to determine the probability value?From the question, the given parameters about the distribution are
Mean diameter = 127Variance = 36 The actual data value, x = Less than 0.5The standard deviation is the square root of variance
So, we have
Standard deviation = 6
The z-score is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (0.5 - 127)/6
Evaluate
z = -21.08
The probability is then calculated as:
P(x > 0.5) = P(z > -21.08)
From the z table of probabilities, we have;
P(x < 0.5) = 1
Hence, the probability is 1.0
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The magnitude, M, of an earthquake is represented by the equation M=23log(EE0) where E is the amount of energy released by the earthquake in joules and E0=104.4 is the assigned minimal measure released by an earthquake. To the nearest tenth, what would be the magnitude of an earthquake releasing 3.4⋅1014 joules of energy?
Magnitude of an earthquake releasing 3.4*10^14 joules of energy is M ≈ 6.754.
Given:
The magnitude, M, of an earthquake is represented by the equation M=2/3log(E/E0) where E is the amount of energy released by the earthquake in joules and E0=10^4.4 .
E = 3.4*10^14
M = 2/3*log(3.4*10^14 / 10^4.4)
= 2/3*log(13535643798.8)
= 2/3*10.1314
= 20.2628 / 3
M = 6.754
Therefore Magnitude of an earthquake releasing 3.4⋅1014 joules of energy is M ≈ 6.754.
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please help. what is the equation??
Answer:
y = -x + 4
Step-by-step explanation:
The equation of a line follows the form y=mx+c, where x and y are the coordinates, c is the y-intercept (the value of x where the line crosses the y-axis), and m is the slope.
We are given two points/coordinates - (-3,7) and (1,3) - so we know the following is true for our equation:
7=-3m+c
3=m+c
Rearranging the second equation above, we get c=3-m. Sub this into the first one, and we get
7=-3m+3-m
4=-4m
m=-1
Knowing c=3-m, we can say c=3-(-1)=3+1=4
Having found values for m and c, we can now write our equation:
y = -x + 4
Hope this helps :)
will a numbers prime factorization always be the smae, regardless of which factor pair you start with? Explain.
The chart shows the distances, in miles, between three places.
a)Write down the distance
from Hereford to Chester.
b) Which town is 99 miles
from Kendal?
c)If Ellen drives from Kendal to
Hereford via Chester, how
many miles will she drive?
The spreadsheet that shows the distances between the cities, indicates that the distances between the cities are as follows;
a) From Hereford to Chester, the distance is 95 miles
b) Chester is the town that is 99 miles from Kendal
c) Ellen will have driven 201 miles if she drives from Kendal to Hereford through Chester
What is a spreadsheet?A spreadsheet application is used for the storage analysis, organization, and computation of data.
The interpretation of the distances in the chart which is in the form of a spreadsheet are;
The value in the cell corresponding to the distance from Kendal to Chester that is the cell which is on the same column as Kendal and on the same row as Chester is 99
Therefore, the distance from Kendal to Chester is 99 miles
The value in the cell that directly links Chester to Hereford that is the cell which is on the same column as Chester and on the same row as Hereford is 95
Therefore, the distance from Chester to Hereford is 95 miles
The value in the cell that connects Kendal to Hereford, that is the cell which is on the same column as Kendal and which is on the same row as Hereford is 201
Therefore the distance from Kendal to Hereford is 201 miles
a) The distance from Hereford to Chester is 95 miles
b) The town that is 99 miles from Kendal is Chester
c) The distance Ellen will have driven if she drives from Kendal to Hereford via Chester is 201 miles
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I need help with math
Answer:
Math: the science and study of quality, structure, space, and change.
What’s the inequality for the sum of a number w is more than -12? Please help it’s already missing
The sum of a number w is more than -12 becomes w > -12
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.
We have been given that the sum of a number w is more than -12.
Now the sum of a number = w
It is more than -12 means the inequality form as;
w > -12
Therefore, the overall expression becomes w > -12
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A pencil is 712 inches long.
How long is the pencil in centimeters?
1 inch =2.54 centimeters
do you mean 712 or 7.12?
If for 712 it is 1808.48
if for 7.12 it is 18.0848
Please help, Which postulate can be used to prove the two triangles are congruent?
The triangles are congruent by ASA(angle side angle) theorem
How to find congruent triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.
There are different ways to find that out that triangles are congruent.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Therefore, the triangles are congruent by ASA(angle side angle) theorem.
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Help!! Direct and Inverse Variations
The value of y is 24 when x is -2.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
There are direct variations
y= 24 when x=2
We need to find value of y when x =-2
This can be found by forming an equation.
Let the value of unknown y be a
2/24=-4/a
Apply cross multiplication
2a=24(-2)
2a=-48
We need to divide by 2 on both sides
a=-24
Hence the value of y is 24 when x is -2.
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Compare these fractions by filling in the blank with the appropriate sign. 5/11 _____ 4/9
Answer:
5/11 > 4/9
Step-by-step explanation:
5/11 = 0.45454545....
4/9 = 0.44444444....
Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive. He wants each bag to have the same amount of pasta and sauce and wants to use all of the items.
The amount of pasta and sauce since he wants each bag to have the same amount is 16.
What is a factor?A factor simply means a number that can multiplied with another number which is also.a factor to get the original number.
In this case, Cesar has 32 boxes of pasta and 48 jars of sauce that he will be putting into bags for a food drive.
It should be noted that to get the number in each bag, it means that we have to find the highest common factor for both numbers. This will be:
Factors of 32 = 1, 2, 3, 4, 6, 8, 16 and 32
Factor of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Therefore, the answer is 16.
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 7x²
Also, we have
Vertex = (3, 5)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (3, 5)
Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 3)² + 5
This also means that
f(x) = 7(x - 3)² + 5
The 7 is gotten from f(x) = 7x²
Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5
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Sascha owns stock in Lewis Corp, and she bought a $1,000 corporate bond. The bond pays 6.34% annual interest.
How much will Sascha receive in annual interest?
The amount that Sascha will receive in annual interest based on the information is $63.40.
How to calculate the interest?From the information, Sascha owns stock in Lewis Corp, and she bought a $1,000 corporate bond and the bond pays 6.34% annual interest.
In this case, it should be noted that the simple interest is calculated as:
Principal × Rate × Time
Principal = $1000
Time = 1 year
Rate = 6.34%
The interest will be:
= Principal × Rate × Time
= 1000 × 0.0634 × 1
= $63.40
The interest is $63.40.
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a rectangular garden has a length of x and a y. the garden has its length reduced by 3 feet and its width extended by 2 feet. what is the area of the new garden?
The area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.
What is the rectangle area formula?When calculating a rectangle's area, we multiply the length by the width of the rectangle.
What are examples of the area's practical applications?The area of the floors and walls must be measured before applying carpet or tiles on the floor, painting the walls, or installing cabinets in a space.
Given: A rectangular garden has x and y dimensions. The garden's width is increased by 2 feet while its length is decreased by 3 feet.
New length = x-3
New width = y+2
Area of new garden is given as:
=(length)(width)
= (x-3)(y+2)
Therefore, the area of the new garden is found to be (x-3)(y+2) square units where x and y are the original dimensions.
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x + 3y = -18 in slope intercept form
Answer:
y=1/3x+6
Step-by-step explanation:
Use the formula "Y=mx+b"
Answer:
y= -1/3x - 6
Step-by-step explanation:
x+3y = -18
3y = -x -18
y= -1/3x - 6
What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
A triangle has sides with lengths of 8 miles, 12 miles, and 17 miles. Is it a right triangle?