Answer:
The mean will be (significantly) less.
Depending on the other items, the median is either affected only slightly or not at all.
Of all the answer choices, B is the correct one.
Step-by-step explanation:
So, we know that initially, Chucky had a total of 12 items. Each of the items has a different price, but the average cost of them is $7.41.
One item of the twelve was a wheel of cheese that costs $39.99.
And we want to know how the average cost and median cost will be affected if we remove this wheel of cheese.
The important thing to note here is that the average cost is $7.41. The wheel of cheese, however, costs $39.99. Thus, it is an outlier. It is significantly more expensive than the other items.
Initially, to find the mean, we had to add the 12 items together and then divide by 12. However, now that we removed the expensive outlier, the average cost will now be less.
Algebraically, we can see this. Let t be the total cost of the items excluding the cheese. Thus, the mean initially is:
[tex]7.41=\frac{t+39.99}{12}[/tex]
Find t. Multiply both sides by 12:
[tex]88.92=t+39.99\\t=48.93[/tex]
Therefore, all the other items excluding the cheese totals $48.93.
If we remove the cheese, the total is now $48.93 and with only 11 items. Thus, the mean is now:
[tex]48.93/11\approx\$4.45[/tex]
This is almost $3 less than the original mean. Thus, the mean has decreased significantly.
For the median, we really don't know. Recall that the median is simply the "middle" quantity. Assuming all the other products are similarly priced, the median may only change slightly or it may not at all. However, we can only guess for the median as it will depend on the prices of the other products. Nevertheless, it mostly likely decrease.
Edit: Added Letter Answer
Answer:
B
Step-by-step explanation:
Create a function to help determine his total cost.
12 x $7.41 = $88.92
After putting the cheese back he has 11 items and his total cost went down.
$88.92-$39.99 = $48.93
To find the average cost per item divide by 11.
$48.93/11 = $4.45 per item
The mean (average) has gone down.
The median would be the middle number, so you would need to line the cost of the items up from least to greatest. If you have an even number of items, you take the mean of the middle 2 numbers. The block of cheese would have have given Chucky 12 items so the 2 middle numbers would have been averaged.
A hypothetical 12 and 11 items:
$1 $2 $2 $3 $4 $4 $5 $6 $7 $7 $8 $39.99
Mean $7.42 Median $4.5
$1 $2 $2 $3 $4 $4 $5 $6 $7 $7 $8
Mean $4.45 Median $4
Taking the cheese away would move the middle down 1 number so it would also go down, but not as much as the mean of cost per item.
B. Both the mean and median will decrease, but the mean will decrease by more than the median.
Convert the following:
3 liters is equivalent to
pints
Answer:
3 liters is equvilent to 6.34 pints
Step-by-step explanation:
Suppose you received $10 from your grandmother for your birthday. You spent $4 on snacks at the gas station on the way to school. a.What integer represents the amount of money your grandmother gave you for your birthday? b. What integer represents the amount of money you spent on snacks? c. Write a number sentence to represent the amount remaining after buying snacks? d. How much money do you now have after buying snacks?
An integer is a number.
A. Your grandmother gave you. $10, the integer is 10
B. You spent $4 on snacks, the integer is 4
C. Subtract the amount spent from the amount you had:
10-4 =
D. 10-4 = 6, you have $6 left.
y = 4800(1.239)
growth or decay
Hello there! :D
Well, it is a general rule of thumb that growth is indicated by positive numbers, and decay is indicated by negative numbers. I would show decay in this exponential equation by making the percentage inside the parenthesis negative. It would look like this: y=4800(-1.239)
Obviously, this equation does not have a negative integer so we know it must constitue growth!
I hope this helped you and that you have a wonderful day,
Kai xx
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
8. C is between Q and R. If QC=2x, RC=3x, and QR=15
What is x?
Please show all work and not just the answers.
Answer:
3
Step-by-step explanation:
QC=2x
RC=3x
QR=15
THEREFORE,
QC+RC=QR
=>2x+3x=15
=>5x=15
=>x=15/5
=>x=3
A basketball player made 36 free throws in 16 games.find the ratio of free throws to games.
Answer:
36/16, 36:16, 36 to 16
Step-by-step explanation:
all above are correct
you can write ratios 3 different ways
11. An AC waveform has a peak voltage of 50 VAC. What's the
waveform's RMS voltage?
O A. 50.0 VAC
B. 35.4 VAC
C. 24.8 VAC
O D.52.8 VAC
Answer:
Option B - 35.4 VAC
Step-by-step explanation:
Formula for peak voltage is;
V_p = V_rms × √2
Making V_rms the formula, we have;
V_rms = (V_p)/√2
We are given:Peak voltage: V_p = 50 VAC
Where 50 VAC means 50 Volts AC power
Thus;
V_rms = 50/√2
V_rms ≈ 35.4 VAC
So option B is correct
I am in a subset of rational numbers, I am not negative, I am a whole number, I am not a natural number, what number am I?
Answer:
Step-by-step explanation: 0 because it is not considered a natural number.
Hello could anyone help me out? thank you! The room temperature is 50 *F. The temperature will decrease by 4*F each hour. Let "h" be the number of hours. When will the temperature be below 32*F?
Write an inequality for this problem.
We start off with 50 as our room temperature.
Then we subtract off 4h to indicate the temperature drops 4 degrees per hour
You can think of it like this
1 hour = drop by 4 degrees
h hours = drop by 4h degrees (multiply both sides by h)
So the expression 50-4h represents the temperature after h hours. We want this to be below 32, so 50-4h < 32 is the inequality we're after
Solving for h leads to
50-4h < 32
-4h < 32-50 ... subtract 50 from both sides
-4h < -18
h > -18/(-4) ... divide both sides by -4; note the inequality sign flips
h > 4.5
If you go beyond 4.5 hours, then the temperature will be below 32 degrees
notes:
4.5 hours = 4 hours, 30 minutes = 270 minutesthe inequality sign flips whenever you divide both sides by a negative numberAfter 1 hour 46
After 2 hour 42
After 3 hour38
After 4 hour 34
After 4 (1/2) hour 32
Can someone please please help me I don’t understand
Answer: Pretty sure the answer is C
Step-by-step explanation:
- Mary earns an hourly wilge of $13 plus a $90
bonus. If Mary's total paycheck shows she
received $597, how many hours did she work?
Answer:
39 hours
Step-by-step explanation:
Mary earns an hourly wage of $13
plus a $90 bonus.
Her total paycheck shows she received $597
Subtracting the bonus we get;
$597 - $90 = $507
1 hour -> she gets $13
how many hours will she get $507
Cross multiplying gives;
[tex]\frac{507}{13} * 1 = 39[/tex] hours
Answer:
Mary worked 39 hoursStep-by-step explanation:
$597 - $90 = $507 - payment for hours only
507÷13 = 39
What’s a coefficient
Answer:
The number before a variable. For example, 4x. 4 would be the coefficient, and x would be the variable.
Answer:
A numerical or constant quantity placed before and multiplying the variable in a algebraic expression
when multiplying or dividing a negative and negative number your results will be
can someone plz help again? sorry
Answer:
Subtraction property of equality
Step-by-step explanation:
[tex]x+1=-2\\[/tex]
Move 1 to the [tex]x = -2-1\\simplify\\\\x = -3[/tex]right and change its sign
Answer:
Last one
Step-by-step explanation:
Gabriella's step is justified by the substraction property of equality.
● x + 1 = -2
Gabriella substracted 1 from both sides
● x + 1 - 1 = -2 - 1
● x = -3
A rectangle is a 6 2/3 feet long and 3 1/5 feet wide. About how many feet is the distance around the rectangle
Answer:
[tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex]
Step-by-step explanation:
The distance around the rectangle is also known as the perimeter of the rectangle.
The formula for the perimeter of a rectangle is 2l+2w.
The width of this rectangle is 3 1/5 feet and the length of this rectangle is 6 2/3 feet, so plug into the perimeter formula:
P=2l+2w
=2(6 2/3)+2(3 1/5)
=2(20/3)+2(16/5)
=40/3+32/5
--(LCD is 15)
= 5/5(40/3)+3/3(32/5)
=200/15+96/15
=296/15 or 19 11/15 feet
The distance around the rectangle is about [tex]\frac{296}{15}[/tex] or [tex]19\frac{11}{15}[/tex].
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even nor odd? reflection over the x-axis vertical stretch by a factor of 7 translation 8 units to the right horizontal compression by a factor ofOne-half
Answer: translation 8 units to the right
Step-by-step explanation:
An even function is a function such that:
h(x) = h(-x)
and the function is odd if:
h(-x) = -h(x)
Now, let's talk about transformations:
A) Reflection over the x-axis:
When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:
(x, -y).
Then for the case of a function:
y = h(x).
then the reflection will be:
g(x) = - y = -h(x).
And if h(x) is even, -h(x) is also even, so this is not the correct option.
B) Vertical stretch by a factor of 7.
This is written as:
g(x) = 7*h(x).
then:
g(x) = 7*h(x)
g(-x) = 7*h(-x) = 7*h(x) = g(x)
the transformation is even.
C) Translation of 8 units to the right.
We can write this as:
g(x) = h(x - 8).
Then:
g(-x) = h(-x -8) = h(x + 8)
Then g(-x) is not equal to g(x)
and also g(-x) ≠ -g(x)
So in this case the transformation is neither odd or even.
C) horizontal compression by a factor of One-half.
This transformation is written as:
g(x) = h( (1/2)*x)
And, similar as the case of the vertical compression, in this case the transformation is also even.
Answer: C
Step-by-step explanation:
Translation 8 units to the right
what is the equation linethatis perpendicular to the given line and passes through the point (3,0)?
Answer:
3y+x = 3
Step-by-step explanation:
for the point ( 3,0)
x=3 , y= 0
the equation for the line is given as
y-y1= m(x-x1)
for perpendicular ,
m= -1/x
so
y-0 = -1/3(x-3)
3y= -x +3
3y+x=3
Answer: 5x - 3y = 15
Step-by-step explanation: was correct on edge test.
AC = 64,
AB = 7x + 8, and
BC = 3x + 6,
Find BC.
Answer:
21
Step-by-step explanation:
AC = 64AB = 7x + 8 BC = 3x + 6Since AC = AB + BC
7x + 8 + 3x + 6 = 6410x + 14 = 6410x = 50x = 50/10x = 5------------------
BC = 3x + 6 = 3*5 + 6 = 21
Any distinct quantity contained in a polynomial.
O Power
O Term
O Base
O Integer
Answer:
answer is B
Step-by-step explanation:
The 8 students in Mrs. Allen's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 4, 12, 9, 6, 3, 15, 15, 6 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Answer:
Mean: 8,75
Median: 7,5
Step-by-step explanation:
To find Mean
To find the mean data you have to put data all set in order:
3, 4, 6, 6, 9, 12, 15, 15
Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:
3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70
There are 8 numbers in the data so divide 70 by 8:
70 ÷ 8 = 8,75
----
To find Median
The median is in the middle number of the data that already in order. Which is number 6 and 9.
Median = (6 + 9) ÷ 2
Median = 15 : 2
Median = 7,5
a+b/c=5. Solve for b
Answer:
b = c(5 - a)
Step-by-step explanation:
Given
a + [tex]\frac{b}{c}[/tex] = 5 ( subtract a from both sides )
[tex]\frac{b}{c}[/tex] = 5 - a ( multiply both sides by c to clear the fraction )
b = c(5 - a)
The value of b form the equation a + b/c = 5 will be b = c(5 - a)
How to evaluate a given mathematical expression with variables if values of the variables are known?We can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
Given;
a + b/c = 5
subtract a from both sides;
b/c = 5 - a
multiply both sides by c to clear the fraction;
b = c(5 - a)
Hence, The value of b form the equation a + b/c = 5 will be b = c(5 - a)
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
#SPJ2
Factor the polynomial 8x2 - 50
Answer:
2(2x - 5)(2x + 5)
Step-by-step explanation:
[tex]8x^{2} -50[/tex]
First pull out 2.
2[tex](4x^{2} -25)[/tex]
We can see each is a square after pulling out 2.
square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:
2(2x - 5)(2x +5)
Let's check our work. Focus on the ( ) first.
2(2x - 5)(2x + 5)
2x * 2x + 2x * 5 - 5 * 2x - 5 * 5
4[tex]x^{2}[/tex] + 10x - 10x - 25
4[tex]x^{2}[/tex] - 25 Can't forget to multiply by 2!
2 (4[tex]x^{2}[/tex] - 25 )
8[tex]x^{2}[/tex] - 50
solve the following equation show your work 9 + 12m = 6 + 15(m - 1)
A die is thrown . find the probability of (1) a multiple of 2 or 3
Answer:
A die is thrown which means that it can land on either 1-6 on the die.So if you want to find the probability of the multiple of 2 or 3....we have multiplies of 2 in the die from 1-6 which is 2,4 and 6 if you count them they are just 3 numbers and since there is a probability of it to land on any of them it will be 3/6 which is 1/2 if yiu divide by 3 to it's lowest term....Then multiple of 3 is 3,and 6.which will be 2/6 which is 1/3 if u cut to its lowest term. Or in the question means addition sign in probability then it is 2 or 3 which is (1/2)+(1/3)=5/6.Thank you for the question
-x^2 -8=-33 Enter the solutions from least to greatest.
Answer:
x = -5, 5
Step-by-step explanation:
Step 1: Write out equation
-x² - 8 = -33
Step 2: Add 8 on both sides
-x² = -25
Step 3: Divide both sides by -1
x² = 25
Step 4: Take square root on both sides
x = ±5
Step 5: Arrange
-5 < 5
So x = -5, 5
Arrange the following terms into appropriate categories?
Please help me
Answer:
Real:
231/3cube root of -27sq root of 8cube root of 645.680%-3/70Imaginary:
sq root of -4-5i17i2/5iComplex:
-5.7 - 4i2/5 - 5/8i2 + 3i-1.5 + 17iStep-by-step explanation:
A real number is a number that exists in real life.
An imaginary number is a number that doesn't exist, hence it has the letter i in it.
A complex number consists of a real number and an imaginary number.
If you would like more help in math or other subjects for FREE, check out growthinyouth.org.
Ok so I'm taking precalculus and my teacher asked this question and I don't understand it at all Describe a situation with an output of area in square feet that can be modeled using the function f(x) = (x)(2x + 5).
Answer:
x=3
Step-by-step explanation:
3 square ft
Simplify: 7-24÷8x4+6
The BODMAS rule is indeed an acronym used to recall the order of operations to be utilized while solving mathematical expressions, and the further calculation can be defined as follows:
Given:
[tex]\bold{ 7-24\div 8\times 4+6}[/tex]
To find:
Simplification=?
Solution:
Using BODMOS rule
[tex]\to \bold{ 7-24\div 8\times 4+6}\\\\\to \bold{ 7-\frac{24}{8}\times 4+6}\\\\\to \bold{ 7-3\times 4+6}\\\\\to \bold{ 7-12+6}\\\\\to \bold{ 7-18}\\\\\to \bold{ -11}\\\\[/tex]
Therefore, the final answer is "-11".
Learn more:
brainly.com/question/1661958
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada. A. Did Jada drink more or less water than Elena? 1 point
Answer:
A. Jada drank less water than Elena
B. Lin drank more water than Elena
Step-by-step explanation:
Elena drink 3 Liters of water yesterday Jada drank 3/4 times as much water as Elena. Lin drank twice as much water as Jada.
A. Did Jada drink more or less water than Elena?
B. Did Lin drink more or less water than Elena?
Elena drank 3 liters of water
Jada drank 3/4 times as much water as Elena.
Lin drank twice as much water as Jada
Elena = 3 liters
Jada = 3/4 × Elena
=3/4 × 3
=9/4 liters
=2 1/4 liters
=2.25 liters
Lin=2×Jada
=2×9/4
=18/4
=4 2/4
=4.5 liters
Did Jada drink more or less water than Elena?
A. Jada drank less water than Elena
Because 2.25 liters is less than 3 liters
B. Lin drank more water than Elena
4.5 liters is greater than 3 liters
PLEASE HELP ME DUE TODAY!!
Answer: D) neither
Step-by-step explanation:
If you plug in any of the given coordinates, the answer is always incorrect
How many solutions are there to the equation below?
x=27
A. 3
B. 2
C. O
D. 27
E. 1
F. 4
Answer:
2
Step-by-step explanation:
27*1=27
3*9=27