Step-by-step explanation:
total no of items (n)= 5
median (m) = (n+1)/2 th item
= (5+1)/2 th item
= 6/2 th item
= 3rd item
= 152152152
VARIABLE EXPRESSIONS
Complete. Replace ? with +, -,×, or ÷ .
1.) 3y means 3 ? y.
At Super Shopper a 1-litre bottle of cola costs £0.85.
At Rex Retail a 1.5-litre bottle costs £1.30.
At which shop is cola better value for money?
Answer:
super shopper
Step-by-step explanation:
o.85/2=0.425
0.425*3=1.275
Find f(5)+j(-2) if f(x)=12-3x and j(x)=x² + 4x - 1.
Answer:
-8
Step-by-step explanation:
Put the given values where the corresponding variables are, and do the arithmetic.
__
first functionf(x) = 12 -3x
f(5) = 12 -3(5) = -3
__
second functionj(x) = x² +4x -1 = (x +4)x -1
j(-2) = (-2 +4)(-2) -1 = 2(-2) -1 = -5
__
compositionf(5) +j(-2) = -3 +(-5) = -8
QUESTION 3 Given: f(x) = 3(x - 1)² - 12 +1 and g(x) = X+2 3.1 Calculate the coordinates of the x-intercept and the y-intercept of g 3.2 Calculate the coordinates of the x-intercept and the y - intercept of f. 3.3 What is the minimum value of f(x)? 3.4 On the same set of axes, sketch the graphs of f and g. Indicate all intercepts with axes and the coordinates of the turning point of f. 3.5 For which values of x will both f(x) and g(x) increase as x increases?
Answer:
Solution: (-1, 1) and (10/3, 16/3) are Intercepts.
Step-by-step explanation:
Set the equations equal to themselves and solve for x and y.
Hope this helps! :)
A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND.
The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
We know the surface area of the sphere is given by:
SA = 4πr²
1465 = 4πr²
r = 10.79 cm
Volume of the sphere = 4πr³/3
V = 4π(10.79)³/3
V = 5262.03 cubic cm
Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm
Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
Learn more about the sphere here:
brainly.com/question/11374994
#SPJ1
The number 22 is multiplied by a 22-digit number that contains only "2"s. What is the
sum of the digits of the product?
Answer:
I don't know it is actually pretty hard! But is this part of the rsm mcp contest
Step-by-step explanation:
The sum of digits of the products is given by S = 176
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The number 22 multiplied by a 22-digit number that contains only "2"s would result in a number that consists of a string of "4"s.
This is because 2 multiplied by 2 results in 4. Since all the digits in the 22-digit number are "2"s, each digit would multiply by 2 and result in "4".
Therefore, the product of 22 multiplied by a 22-digit number that contains only "2"s would be a 44-digit number consisting of "4"s.
The sum of the digits of a 44-digit number consisting of only "4"s can be calculated by multiplying the digit "4" by the total number of digits, which in this case is 44.
Sum of digits = 4 × 44 = 176
Hence , the sum of the digits of the product would be 176
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ3
3. Judy took a taxi. The meter said $45. She tips the driver 15%. How much money does the the driver get in tips?
Answer:
6.75$
Step-by-step explanation:
because 15% of 45$ is 6.75$
help ME solve please
I need help with this
Answer:
a. 0.444444
b. 0.87
Step-by-step explanation:
a. (-2).(-4.5)
= -2 / -4.5
= 0.44444
u will do the same to the second question
Does anyone know how to do this please help
Step-by-step explanation:
the photo should explain
what is the diffrence between -25 and -12
Um Help please
Long time of Due[31st June]
Answer:
12
Step-by-step explanation:
This a Venn Diagram.....the shaded overlapping area is common to both sets.... it must be a multiple of 3 AND a multiple of 4
12 would work....Right?
Answer:
B. 12.
Step-by-step explanation:
The numbers that will go into the shaded area are those who are divisible by 3 and 4.
12 = (3*4)is the only one in the list.
What weight would give a newborn a z-score of −0.75? grams
Using the normal distribution, it is found that a weight of 3125 grams would given a newborn a z-score of −0.75.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation for the weight of newborns is given as follows:
[tex]\mu = 3500, \sigma = 500[/tex]
Hence, the weight associated with Z = -0.75 is given by X:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.75 = \frac{X - 3500}{500}[/tex]
X - 3500 = -0.75(500)
X = 3125.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ4
Geometry
7&8&9. Find the value of x.
Answer:
Step-by-step explanation:
Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.
The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.
What is the amount of co2 that would be released?The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons
The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds
To learn more about multiplication, please check: https://brainly.com/question/3385014
#SPJ4
2/11 as a decimal rounded to 3 places
Answer:
0.182
Step-by-step explanation:
2 / 11 = 0.181818...repeating
0.1818 round up since the 4th number 8 > 5
Answer:
0.182
Step-by-step explanation:
:)
Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution. x = 2; extraneous x = 2; not extraneous x = 30; extraneous x = 30; not extraneous
The solution of the equation √x+2 + 4 = 6 is x = 2 and it is not an extraneous solution
How to find the solution of an equation?The solution of the equation can be found as follows;
√x+2 + 4 = 6
subtract 4 from both sides
√x+2 + 4 - 4 = 6 - 4
√x+2 = 2
square both sides
(√x+2)² = 2²
x + 2 = 4
x= 4 - 2
x = 2
Therefore the solution is x = 2 and it is not a extraneous solution.
learn more on equation here: https://brainly.com/question/3676073
#SPJ4
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
An apple orchard's workers pick 12,500 apples in the month of October. A sample of 500 of these apples shows that 30 of them are damaged. what is the best estimate of the percentage of apples picked at the orchard in October that are damaged?
The best estimate of the percentage of apples picked at the orchard in October that is damaged will be 6%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.
An apple orchard's workers pick 12,500 apples in the month of October.
A sample of 500 of these apples shows that 30 of them are damaged.
Then the best estimate of the percentage of apples picked at the orchard in October that is damaged will be
P = 30/500 x 100
P = 6%
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
what’s the circumference, to this problem ?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex] but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this [tex]C=d*\pi[/tex].
We can then input the value and we get that [tex]C=5*\pi[/tex] which then just narrows down to [tex]C=15.708[/tex].
Hope this helps! Let me know if you have any questions
the dustance between -100 and 0
Answer:
100
Step-by-step explanation:
-100 is always going to be 100 units away from 0 no mater what
Tina will use the number cube, the spinner, and the coin shown below in a game. The number cube has faces numbered 1 through 6. Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome. How many unique outcomes where the number on the cube is greater than 4 are possible?
There are 4 slots for the spinner.
Answer Choices:
A. 12
B. 24
C. 16
D. 48
this is worth 40 points so pls help! I need this ASAP.
I also need COMPLETE solution
Answer:
Shown below.
Step-by-step explanation:
Test Marks Tally Frequency Percentage
1 8 8/60 = 0.133
2 6 6/60 = 0.100
3 5 5/60 = 0.083
4 5 5/60 = 0.083
5 5 5/60 = 0.083
6 8 8/60 = 0.133
7 6 6/60 = 0.100
8 7 7/60 = 0.116
9 4 4/60 = 0.066
10 5 5/60 = 0.083
Total 59 59/60 = 0.983
For the Tally section, I believe you just fill in tally marks corresponding to the frequency. One of the observations in the table is 0, which is not a column in the frequency table.
Which expression is equivalent to the one that is modeled?
Answer:
What are the equivalent expressions?
Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.
Step-by-step explanation:
In the figure below, the segments WX and W Y are tangent to the circle centered at 0. Given that OX= 4 and OW = 8.5, find WY.
Answer:
7.5
Step-by-step explanation:
because OY is a radius like OX they will have equal length of 4 so OY = 4
Because of the circle theorem that says that tangents meet the the radius of a circle at 90 degrees, angle OYW is 90 degrees so the triangle OYW is a right angle triangle and we can use pythagoras theorem to get WY as:
[tex]8.5^{2} - 4^{2} = WY^{2} \\\sqrt{WY^{2}}=WY=7.5[/tex]
(rounding) 17.23. whats the nearest tenth?
Answer:
17.2
Step-by-step explanation:
23 ⇒ Below 5, round down
20 ⇒ Add to decimal
17. 23 ⇒ 17.2 / 17.20
A line includes the points (7, 4) and (5, 0). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 2x – 10
Step-by-step explanation:
ΔY divided by ΔX
= 5-7/0-4
= 2/1 = 2 (simplified)
plug in 2 into; 0=2(5)+b
= -10=b
so we have: y=2x-10
Parallel lines cut by transversal line what is the measurement of angle D?
Answer:
110
Step-by-step explanation:
The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other
so the measure of d = 110
Find the product.
Y^5 x y^3
Please and thx
But hurry
Answer:
[tex]y^{5}\times y^{3}=y^8[/tex]
Step-by-step explanation:
exponent property :
[tex]\left( a\right)^{n} \times \left( a\right)^{m} =\left( a\right)^{n+m}[/tex]
………………………………………
[tex]\Longrightarrow y^{5}\times y^{3}=y^{5+3}=y^8[/tex]
What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}