Answer:
5.8%
Step-by-step explanation:
For the business,
retail space rental = $2400
wages = $1800
utilities = $480
Total running cost = $4680
But,
retail space rental decreased by 5%, so that;
5% of $2400 = 0.05 x $2400 = $125
The new retail space rental = $2400 - $125
= $2275
wages decreased by 6%, so that;
6% of $1800 = 0.06 x $1800 = $108
The new wages = $1800 - $108
= $1620
Utilities increased by 7%, so that;
7% of $480 = 0.07 x $480 = $33.6
The new amount on utilities = $480 + $33.6
= $513.6
New total running cost = $2275 + $1620 + $513.6
= $4408.6
The percentage decrease in the monthly cost = [tex]\frac{(4680 - 4408.6)}{4680}[/tex] x 100%
= [tex]\frac{271.4}{4680}[/tex] x 100%
= 5.8%
A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]
5/8 divided by 1/4 I would like to see how smart you all are?
Answer:
2.5
Step-by-step explanation:
good luck :)
PLEASEE HELLPPPPP im dumb
Answer:
Im dumbmbbn slalsodl soak w uelwoelcome
Step-by-step explanation:
Answer:
1. A
2. it might be impetigo??
Step-by-step explanation:
Not sure but I believe this is correct.
What is the y intercept of the line graphed on the grid? (-6, -8) (2,-2)
Did this today on a test lol.
(0,-7/2)
A merchant surveyed 370 people to determine the way they learned about an upcoming sale. The survey showed that 170 learned about the sale from the radio 140 from television 190 from the newspaper, 90 from radio and television, 120 from radio and newspapers, 80 from television and newspaper, and 70 from all three sources. how many people learned of the sale from newspapers or radio, but not both?
can someone help me please with 582 x 23 ≈ __________ x __________ = 12,000
Answer:
Step-by-step explanation:
582×23≈600×20=12,000
si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total
Answer:
$90
Step-by-step explanation:
10% de 100 es 10; 100-10=90
Answer:
90 pesos
Step-by-step explanation:
10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.
Si necesitas que te lo explique mas, dime y te ayudare :)
___ is a term relating to abstract ideas.
Answer:
conceptual
Step-by-step explanation:
A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.
Answer:
7.19
Step-by-step explanation:
Suppose the average yearly salary of an individual whose final degree is a master's is $(blank) thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.
Complete question :
Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
Bachelors = $53000
Masters = $65000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = b
Salary of Master's degree holder = 2b - 41000
Master's + bachelor's salary = $118,000
Hence,
2b - 41000 + b = 118,000
3b = 118000 + 41000
3b = 159000
b = 159000 / 3
b = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2b - 41000
2(53000) - 41000 = 65000
The y-coordinate of the vertex of the parabolic graph of
f(x) = ax2 + bx + c
is
hello,
y-coordinate is found by computing f(0)=c
so this is the point (0,c)
the vertex is found for x = -b/(2a)
[tex]f(\dfrac{-b}{2a})=\dfrac{ab^2}{4a^2}-\dfrac{b^2}{2a}+c\\\\=\dfrac{b^2-2b^2+4ac}{4a}\\\\=-\dfrac{b^2-4ac}{4a}[/tex]
So this is the point ( -2(2a), -(b^2-4ac)/(4a) )
thanks
The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex]
Given that,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
We have to determine,
The y-coordinate of the vertex of the parabolic graph?
According to the equation,
The vertex of a parabola is the point at which the parabola passes through its axis of symmetry.
In case the coefficient of the x² term is positive, and then the vertex will be located at the lowest point on the graph, the point at the base of the “U”-shape.
On the contrary, if the coefficient of the x² term is negative, the vertex will be located at the highest point on the graph, at the top of the “U”-shape.
Therefore,
The vertex of the parabola of the given quadratic equation,
[tex]\rm f(x) = ax^{2} +bx+c[/tex]
The co-ordinate is founded when x = 0,
[tex]\rm f(x) = ax^{2} +bx+c\\\\\rm f(0) = a(0)^{2} +b(0)+c\\\\\rm f(0) = c[/tex]
Then, The vertex is found at point (0, c) at x = -b\2a,
[tex]\rm f \left (\dfrac{-b}{2a }\right) = a\left (\dfrac{-b}{2a }\right) ^2 + b \left (\dfrac{-b}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = a \left (\dfrac{b^2}{4a^2 }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \left (\dfrac{b^2}{4a }\right)- \left (\dfrac{b^2}{2a }\right) +c\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{b^2-2b^2+4ac}{4a}\\\\f \left (\dfrac{-b}{2a }\right) = \dfrac{-b^2+4ac}{4a}\\\\[/tex]
Hence, The vertex of the parabolic graph is, [tex]\rm\left ( -4a, \dfrac{-b^2+4ac}{4a} \right ) \\\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/1254213
The table shows the height of water in a pool as it is being filled.
A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled..
Answer:
16
Step-by-step explanation:
can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?
Answer:
The least common denominator is 77 so the fractions would become 63/77 and 66/77.
Which ratio is equivalent to 5:9?
9:45
25.81
27:15
30:54
Answer: 30:54
Step-by-step explanation:
5 X 6 =30
9 X 6 =54
For example: If you multiply the other ones say the first one, 9 X 5 =45 but 5 X 5=9 so that doesn't work.
Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?
T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x
Answer:
0.963
Step-by-step explanation:
It’s correct
The function C(x)=16x+4,200 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $40?
Answer:
175
Step-by-step explanation:
Solve the formula for f2
f =
f1f2/
f1 + f2
Answer:
The answer is "[tex]\bold{ F2 = \frac{F F1}{(F1-F)}}[/tex]"
Step-by-step explanation:
Given:
[tex]\bold{F = \frac{F1 F2}{(F1 + F2)}}\\\\[/tex]
Cross multiplication:
[tex]\to F (F1 + F2) = F1 F2\\\\\to F F1 + F F2 = F1 F2\\\\\to F F1 = F1 F2 - F F2 \\\\\to F F1 = F2 (F1 - F) \\\\\to F2 = \frac{F F1}{(F1-F)}[/tex]
answer 2 questions about equations A and B A. 5x=20 B. x=4 1.) how can we get equation B from equation A
Answer:
Multiply/divide both sides by the same non-zero constant
Step-by-step explanation:
5x = 20
Divide each side by 5
5x/5 = 20/5
x = 4
–8(n + 7) >-96??????????????
Answer:
D) n<5
Step-by-step explanation:
Find 23÷16 . Write in simplest form
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
1 1/7
Step-by-step explanation:
List and describe the characteristics of a wave
Answer:
Crest = Highest point of the wave.
Trough = Lowest point of the wave.
Wavelength = Distance from one crest/trough to the next (m)
Wave Height = Height from trough to crest (m)
Wave steepness = ratio of wave height to wavelength.
Amplitude = distance from the centre of wave to the bottom of the trough (m)
Step-by-step explanation:
Identify the quadrant in which each point is located.
A (5,1.75)
B(-5,-8)
C(2,3)
D (2,-3.5)
E (-4.5,3.75)
A) Quadrant 1
B) Quadrant 3
C) Quadrant 1
D) Quadrant 4
E) Quadrant 2
Bill was looking through a microscope. He called Sue over to tell her what he saw. He showed her a cell wall, nucleus, mitochondria, and chloroplast. What type of cell was he looking at?
A. Prokaryotic cell B. Plant cell
C. Animal cell
D. Red blood cell
Answer:
B. Plant cell
Step-by-step explanation:
Prokaryotic cells do not contain an enclosed nucleus or chloroplast
Red blood cells do not contain chloroplast
Animal cells do not contain chloroplast
Twenty times y is at most 100 in interval notation
Answer:
[tex]y\in (-\infty ,5][/tex]
Step-by-step explanation:
In this problem, we need to write "Twenty times y is at most 100 in interval notation ".
20 times y means, 20y
Atmost means an inequality which is [tex]\le[/tex]
ATQ,
[tex]20\times y\le 100[/tex]
i.e.
[tex]20y\le 100\\\\y\le 5[/tex]
We can also write it as :
[tex]y\in (-\infty ,5][/tex]
Hence, the required interval notation is [tex]y\in (-\infty ,5][/tex].
The interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
What is interval notation?The Interval notation is a method to define a set of numbers between a lower limit and an upper limit by using end-point values.
"Twenty times y is at most 100 in interval notation ".
Here, 20 times y means, 20y at most means an inequality.
Therefore,
The inequality is;
[tex]\rm 20 \times y\leq 100\\\\20y\leq 100\\\\y \leq \dfrac{100}{20}\\\\y\leq 5[/tex]
Hence, the required interval notation is [tex]\rm y \epsilon (\infty,6][/tex].
To know more about Interval notation click the link given below.
https://brainly.com/question/13048073
Solve for x. 5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form.
Simplify.
9a +4b+4+4a +5b+7
Answer:
13a + 9b + 11
Step-by-step explanation:
9a + 4a = 13a4b + 5b = 9b4 + 7 = 11Put them together: 13a + 9b + 11I hope this helps!
Answer:
13a+ 9b+ 11
Step-by-step explanation:
9a+4a= 13a
4b+ 5b= 9b
4+7=11
Please help and i will brainliestttt
Answer:
7/3 cm per hour
Step-by-step explanation:
Answer: 7/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
Step-by-step explanation:
7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3
7 is for how much snow fell and the 3 is from how much time
if f (x) = 2/3x² + 8x, what is the value of f(6)?
Answer:
72
Step-by-step explanation:
replace the variable of x with 6 in the equation.
a) how would you work out 4 1/3 x 6?
The solution of the expression 4¹/₃ x 6 will be 26.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,
E = 4¹/₃ x 6
E = ( 13 / 3 0 x 6
E = 13 x 2
E = 26
Hence, the solution will be 26.
To know more about an expression follow
https://brainly.com/question/28773316
#SPJ2
Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?
Answer:
3.75 cups of sugar. I think
Answer:
3 3/4
Step-by-step explanation:
3/5 times 5
1.multiiply the numerator by 5
The numerator is the top number which is 3 in this case
So 3x5 is 15
You keep the denominator 4
so 15/4 that is an improper fraction now divide 15 by 4
or count by fours
4,8,12,16
16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times
so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4
*remember you keep the denominator the same