Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
of cash for each scarf. Before she left, Lucy spent $10.50 of her earnings on a used sweater.
She had $7.50 remaining. What was the value of each scarf?
The value of each scarf from the sales will be $4.50.
Since Lucy spent $10.50 of her earnings on a used sweater and she had $7.50 remaining, the total amount that she made from the sales will be:
= $10.50 + $7.50
= $18.00
Since she sold 4 scarves, the cost of each scarf will be:
= $18.00 / 4
= $4.50
Therefore, the value of each scarf will be $4.50.
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e. A set of observations has a mean of 9.0 and standard deviation 4.0. Another set of 20 observations has a mean of 10.0. Given the standard deviation of the combined set of 35 observations is 3.0, find the variance of the second set.
From the combined standard deviation, with the mean, and standard
deviation of the data sets, the required variance can be found.
[tex]\underline{\mathrm{The \ variance \ of \ the \ second \ set \ is} \ 4\dfrac{5}{28}}[/tex]Reasons:
The given data information are;
Mean of the first set of observation, [tex]\overline x_1[/tex] = 9.0
Standard deviation of the the first set, σ₁ = 4.0
Sample size of second observation, n₂ = 20
Mean of second sample, [tex]\overline x_2[/tex] = 10
Standard deviation of the combined set, σ₁₂ = 3.0
Sample size of combined set of observation, n₂ = 35
Solution:
The number of elements in the second sample, n₁ = 35 - 20 = 15
The standard deviation of the combined set is given by the formula;
[tex]{\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}[/tex]
Where;
[tex]\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}[/tex]
Therefore;
[tex]\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}[/tex]
d₁ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_1}[/tex]
[tex]d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}[/tex]
d₂ = [tex]\mathbf{\overline x_{12}}[/tex] - [tex]\mathbf{\overline x_2}[/tex]
[tex]d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}[/tex]
Therefore;
[tex]3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}[/tex]
Solving gives;
[tex]Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}[/tex]
[tex]\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}[/tex]
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What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?
9514 1404 393
Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
Help me guys here
NonSense Answer=Report
A toy store marks down all of its items by 15%. If a package of pokemon cards costs $4.99, what is the new price with the markdown? Round to the nearest cent
Answer:
$4.24
Step-by-step explanation:
100%-15%=85%
85/100x4.99=4.2415
4.2415 rounded off to nearest cent =4.24
Hope this helps! Thanks.
Looking at the two, 7[tex]a^{4} b^{2} c^{2} and14abc^{6}[/tex]
what is the GCF of these
Answer:
[tex]7abc^{2}[/tex]
Step-by-step explanation:
What are the characteristics of the graph of the inequality x < 4.5?
The ray will move to the left.
It will use a closed circle.
It will use an open circle.
The ray will move to the right.
Answer:
see explanation
Step-by-step explanation:
Given x < 5
The graph will have an open circle at 5 indicating that x is not equal to 5, which would be a closed circle.
The ray will move to the left since values less than 5 are to the left of 5
Answer:Please see explanation
Step-by-step explanation:
What are the characteristics of the graph of the inequality x < 4.5?
The answer is The ray will move to the left.
It will use an open circle.
Please votes me 5 stars,1 heart,and mark as brainliest. Thanks
xy? - 2x+y when x = 2 and y=-3
What is the answer
Answer:
Step-by-step explanation:
-2x+y
-2x2+-3
-4+-3
7
If you continue operating the tractor at its current level, how man
fertilize in the next hour?
A. 5.96 acres
B. 11.92 acres
C. 12.92 acres
D. 19.87 acres
Answer:
D. 19.87 acres
Step-by-step explanation:
do not put heart if wrong and put heart if correct
The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is of the elevation of city C. Simplify the expression and explain why the answer is negative or positive.
Answer: d=c/4
Step-by-step explanation:
B
Acellus
16 m
С
А
20 m
Find the area of AABC.
[?] m
Enter
Answer:
area of triangle = 1/2×base×height
=1/2×20m×6m
= 20m×6m=120square metre
What are the similarities and differences between a histogram and a frequency table?
Answer:
A frequency distribution table lists the data values, as well as the number of times each value appears in the data set. A histogram is a display that indicates the frequency of specified ranges of continuous data values on a graph in the form of immediately adjacent bars.
Step-by-step explanation:
−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible
Answer:
Hello, the simplified expression would be:
7x + 6
Which of these provides the best evidence that an environmental change has occurred?
Answer:
after a dry periods lasting many years only a few individuals of a tree population survive and then produce drought tolerant offspring.
Step-by-step explanation:
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
Can someone pls help me plsss
Answer:
the first one
Step-by-step explanation:
1/2 and 1/5 common denominator is 10
Evaluate the following. Enter the answer as a simplified fraction.
sin(-11pi/6)cos(4pi/3)
Answer: -25/100 or -1/4
Sorry if its wrong, Happy To Help
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
I believe the correct option would be C, 2p-4. I hope this helps you! :)
Answer:
C. 2p-4
Step-by-step explanation:
The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)
Answer:
Step-by-step explanation:
74’F
Answer:
The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Step-by-step explanation:
To Find:
The range of possible temperatures in the house
Solution:
Given:
Thermostat is set to 70 °
Also actual temperature may by a much of 4°
If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F
If the temperature is 4°F higher, actual temperature = 70°+4° = 74°
Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Hi please help me i need it, thanks
Answer:
perimeter: 20.1
area: 22.1
Step-by-step explanation:
Answer:
The formula to find the are of a parallelogram is = base x height
so the base is 3 1/4 x the height is 6. so now it will be
3 1/4 x 6
you now multiply it to get the area.
So the area I am getting for this is 16 1/2 cm2.
It might be wrong but there you go.
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Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.
How many inches does the hairdresser cut?
Answer:
hairdresser cuts 8 inches
Step-by-step explanation:
32 ÷4 =8
HELP LAST ATTEMPT ??!!
Answer:
x=26
Step-by-step explanation:
x+11+2x+1+90=180 [Angles in a straight line]
3x=180-102
x=78/3
x=26
or,
x+11+2x+1=90 [Complementary angles]
3x=90-12
x=78/3
x=26
Can someone please help me?
The derivative of:
[tex]f(x) = ( {3x}^{2} + 2x - 1) 6[/tex]
is....
[tex]6( {3x}^{2} + 2x - 1)5(6x + 2)[/tex]
Hope this helped you- have a good day bro cya)
clause: if 0>1 then 0>0
Step-by-step explanation:
false
0 can't he greater then any integer.
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -4 2 -7 3 -10 4 -13
Answer:
y=-3x-1
Step-by-step explanation:
2. Kirk is reading a science fiction novel. After his first 20 minutes of reading, he sees that he's read 32 pages of
the book. If the book is 375 pages long, which of the following is closest to the total time it will take him to
finish the book?
The total time that should be taken by him to finish the book is 3.9 hours.
Given that,
There are 20 minutes of reading for 32 pages of the book.Now there are 375 pages.Based on the above information, the time taken should be
[tex]= 375 \times 20 \div 32[/tex]
= 234.375 minutes
Now in hours it should be
[tex]= 234.375 \div 60[/tex]
= 3.9 hours
Therefore we can conclude that the total time that should be taken by him to finish the book is 3.9 hours.
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13+ 6.4+ 2.78 awnser ?
Answer:
22.28
Step-by-step explanation:
first add the decimals then the other number.
Find the two numbers whose sum is54 and whose difference is 4
Answer: I can not see the picture
Step-by-step explanation:
can you show it?
The larger trapezoid is dilated form the
smaller trapezoid
Answer:
are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.
If I want to buy a pair of shoes that cost 86.71 and 17% sales tax is added approximately how much are the shoes?
Answer:
$101.45
Step-by-step explanation:
change 17% to .17 then multiply it by 86.71=14.74 then add that to 86.71 and you get your answer $101.45