Answer:
₹165.79
Step-by-step explanation:
Given:-
No. of electric bulbs = 1000
cost of each electric bulb = ₹ 150
No. of bulbs broken = 50
Selling price of each bulb = x
Profit percentage = 5%
To Find:-
The selling price of each bulb.
Solution:-
Cost price of 1000 electric bulbs,
= 1000 × ₹150
= ₹1,50,000
5% profit on the total cost price,
= {5}/{100}× ₹150000
= ₹7500
Total selling price = ₹157500
No. of bulbs remaining = 950
Therefore, selling price of each bulb,
= {₹157500}/{950}
= ₹165.79
Therefore,
Selling price of each bulb = ₹165.79
The second showing started 20 minutes late. Will the second
showing be over by 6:30 P.M.? Explain why your answer is reasonable
No, the second showing would be over at 6:50 because it started 20 minutes late. The time is delayed 20 minutes because it started 20 minutes later.
Pam earns x dollars, Ryan earns (x+60) dollars and Rufus earns (x - 10) dollars. Together they earn a total of 530 dollars.
a) Calculate the value of x
b) the amount Ryan earns.
Answer:
A) 160 B) 220
Step-by-step explanation:
Combine like terms.
3x + 50 = 530.
Subtract 50 from both sides.
3x = 480.
Divide both sides by 3.
x = 160.
Since Ryan earns x + 60, add 60.
160 + 60 = 220.
Sally is packing for a holiday when she realizes that she only has enough room in her suitcase for two pairs of shoes. She randomly selects two pairs to pack from the 31 pairs of shoes that she owns in total.
If Sally has 6 pairs of high heels, what is the probability that she packs at least one pair of these?
Probability =__________
Using the hypergeometric distribution, it is found that there is a 0.3548 = 35.48% probability that she packs at least one pair of high heels.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that:
She has 31 pairs of shoes, hence N = 31.She has 6 pairs of high heels, hence k = 6.She selects two pairs, hence n = 2.The probability that she packs at least one pair of high heels is given by:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,31,2,6) = \frac{C_{6,0}C_{25,2}}{C_{31,2}} = 0.6452[/tex]
Then:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.6452 = 0.3548[/tex]
0.3548 = 35.48% probability that she packs at least one pair of high heels.
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A+B+A+D=32
What does A+B=?
The value of A+B is 16
This question is related to division.To solve it, we will: divide the number after the equality, by the total number of variables (letters) that have.
A + B + A + D = 32
32 ÷ 4 = 8
< We know that the value of each variable is 8. So, to find the value of A + B, let's just add their respective values.
A + B
8 + 8 = 16
So, the value of A + B will be 16
-10|n+6| < -10
What are the steps to solve this?
Answer: n < -7 and n > -5
Step-by-step explanation:
-10|n+6| < -10
first divide by -10 on both sides
[tex]\frac{-10|n+6|}{-10}[/tex] < [tex]\frac{-10}{-10}[/tex]
since we are dividing, we have to flip the sign
|n+6| > 1
subtract the absolute value of 6
You are left with n < -7 and n > -5
Plssss helllpp. Worth 10 points
What is a synonym for the word "partial?"
incomplete
one-sided
complete
different
Answer:
incomplete
or
The first one
Step-by-step explanation:
hope this helps
have a good day
Jeanette chose 100 of the 300 students in her grade level at random and asked what their favorite team sport to play was. The results are shown in the table below. Based on the results in the table, is it valid to infer that more students in Jeanette′s grade like to play basketball than football? Explain your answer.
Answer:
It is valid that more students in Jeanette′s grade like to play basketball than football because 33 people play basketball and only 18 people play football.
Step-by-step explanation:
Answer:
I think that it is not valid to infer that more students in Jeanette's grade like to play basketball than football because she gathered the results of 100 students only which is not even 100% of the total no of students in her grade.
Step-by-step explanation:
Please help me with question 12. I don’t know the answer.
Answer: B. ((5-x))/(x^(2)+3x-4)-:((x^(2)-2x-15))/(x^(2)+5x+4)
exclusions: x≠1, x≠-1, x≠-3, x≠-4, x≠5
Step-by-step explanation:
what is t - s
please help me
t - s
-7-(-4)
-7+4
-3
hope it helps...!!!
Answer:
Top Secret
Step-by-step explanation:
top secret. Slang. tough sh#t (a euphemistic initialism used to avoid explicit vulgarity). See also sh#t (def. 31).
Not what you're looking for?
they take 5 days to drive 679 miles to Seattle, how many miles will they drive each day?
Answer:
135.8
Step-by-step explanation: 679miles/5days =135.8miles/days
I hope it help
If they take 5 days to drive 679 miles to Seattle. Then the number of miles that they drive each day will be 135.8 miles per day.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
They take 5 days to drive 679 miles to Seattle.
Then the number of miles that they drive each day will be
→ 679 / 5
→ 135.8 miles per day.
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Segments AB and BC are both tangent to the circle shown above. What is the length of BC? *Note: photo not necessarily to scale
Both the tangents are equal to each other. Then the length of BC will be 5.
What is a circle?It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.
A tangent to a circle is a line that passes through the centre of the circle precisely once.
As illustrated in the diagram, there are precisely two tangents to a circle that may be drawn from a location just outside of the circle.
Then both the tangents are equal to each other.
The length of BC will be 5.
The diagram is shown below.
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A truck's engine needs 1 gallons of oil for an oil change. How many quarts of oil are needed?
Answer:
4.8038
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 quarts in a gallon.
hope this helps, and do you mine answering my newst quition.
pls help sixowiskosixo
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Quadratic EquationQuadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
[tex]y = ax^2 + bx + c[/tex]
The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]
Let's rearrange the equation
[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]
This implies that
a = 24b = 2 c = -15The equation or formula of quadratic formula is given as
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
We can substitute the values into the equation and solve
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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-6-5 (subtracting integers))
Just adding both the numericals because they both have same sign that is negative
-6-5
-11 answer
Answer:
-11
Step-by-step explanation:
Change the minus sign to addition
6 + 5
= 11
= -11
it is negative 11 because since the signs are the same in front of the 2 numbers (negative sign) they both add together and keep the negative in front of it
Answer = -11
Which is the graph of x-y=1?
Answer:
Top right
Step-by-step explanation:
x - y = 1
rearrange for y = mx + b
-y = -x +1
y = x - 1
crosses the y axis at (0, -1)
y = -1 when x = 0
x = 1 when y = 0
The graph that satisfies these is the on eon the top right
Which of the following formulas expresses h in terms of l and s?
(choices shown in attached image)
(picture for problem shown in attached image)
Answer: D
Step-by-step explanation:
The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?
The meters of fencing that is needed is = 3.36m
Calculation of needed metersThe garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.
The area of the trapezoid garden = 13.92 m²
Therefore the meters of fencing needed which is height = ?
The formula for the area of trapezoid = A = (a+b/2)h
From the formula make h the subject of formula;
h = A *2/a+b
h = 13.92*2/3.3+5.28
h =27.84/8.28
h= 3.36m
Therefore, the meters of fencing that is needed is = 3.36m.
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Araba bought an electric Cooker for 540.00 ghanacedis at a discount of 10%.Find the actual price of the eletric cooker.
Answer:
600.00
Step-by-step explanation:
Understanding :
Let P be the actual price of the containerSince there was a 10% discount, 540.00 is 90% of the actual price0.9P = 540P = 540.00/0.9P = 600.00600.00 is the actual price of the electric cooker.
RIGHT triangular prisms A and B are congruent. What is the volume of prism B? A) 420 in3 B) 1080 in3 C) 2160 in3 D) 32400 in3
Answer: B
Step-by-step explanation:
The circle graph shows how Elsa divides her time between all of the sports she plays per week.
Elsa played sports for 20 hours last week. How many more hours did she play baseball than volleyball?
Answers:
A:1
B:3
C:4
D:5
The number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
Calculating time spent on sportFrom the question, we are to determine how many hours Elsa played baseball than volleyball
From the given information,
Elsa played sports for 20 hours
From the circle graph,
She spent 25% of the time on baseball
Time spent on baseball = 25% × 20 hours
Time spent on baseball = (25/100) × 20 hours
Time spent on baseball = 0.25 × 20 hours
Time spent on baseball = 5 hours
For time spent on volleyball
From the circle graph, she spent 10% of the total time on volleyball
Time spent on volleyball = 10% × 20 hours
Time spent on volleyball= (10/100) × 20 hours
Time spent on volleyball= 0.1 × 20 hours
Time spent on volleyball= 2 hours
The number of more hours spent on baseball than volleyball
= 5hours - 2 hours
The number of more hours spent on baseball than volleyball = 3 hours
Hence, the number of more hours spent on baseball than volleyball is 3 hours. The correct option is B:3
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how to do this please help me
Answer: ∠BAC = 70°
Step-by-step explanation:
We will use the "Exterior Angle Property" which states that an exterior angle of a triangle is equal to the sum of its two opposite non-adjacent interior angles.
This means that (6a) + (7a) = 130° which we can solve.
(6a) + (7a) = 130°
13a = 130
a = 10°
Now that we have the value of a, we can solve for the angle BAC.
7a
7(10)
70°
#17. estimate the perimeter and the area of the shaded figure
Answer:
perimeter of pentagon is 5s
area of Pentagon is 1/2 P*a
PLEASE HELP ME IM IN A HURRY RN
Answer:
x=-32
Step-by-step explanation:
its the last one
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Select Yes or No to state whether each data set is likely to be normally distributed.
the age of people entering a super store
(Yes or no)
the heights of people entering a super store
(Yes or no)
the number of 8 oz glasses of milk in 1 gallon
(Yes or no)
the gallons of milk sold at the super store in one week
(Yes or no)
The age of people entering a super store is likely to be normally distributed.
The heights of people entering a super store is likely to be normally distributed.
The number of 8 oz glasses of milk in 1 gallon is not likely to be normally distributed.
The gallons of milk sold at the super store in one week is likely to be normally distributed.
What is normal distribution?
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. When depicted on a graph, a normal distribution is bell-shaped.
People of all ages and heights would enter a superstore. Thus, the distribution is likely to be normal. The 8 oz glasses of milk in 1 gallon is a constant amount. Thus, the distribution is not likely to be normal.
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What two operations would you use to solve the equation 3/4m - 6 = 12
-multiplication
-division
-addition
-subtraction
To solve this expression, we can use the mathematical operations: addition, multiplication and division. So the correct value, will be m = 1/24
This expression is an equation of the first fractional degree. To calculate, let's:
— move the negative - term to the other side of the positive equation, thus adding:
3/4m - 6 = 12
3/4m = 12 + 6
3/4m = 18
— Now, let's calculate without being fractional. We will isolate the variable multiply the terms with each other:
3/4m = 18
3 = 4m . 18
3 = 72m
— Finally, we'll turn this equation into a fraction, like this - simplifying the numerator and denominator by the same real number:
3 = 72m
m = 3/72
m = 3÷3 / 72÷3
m = 1/24
Therefore, the correct value of this expression is m = 1/24
I don’t know what to do for this
Answer:
Step-by-step explanation: then let's be kinda quaint in the matter. And assume your understanding of word integration in a 5-Manifold?
A grandson's age in months is equal to his grandfather's age in years. The difference
of the grandson's age in years and the grandfather's age in years is 77. Find the
grandson's age in years.
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.
How to use equations to find the age?
A grandson's age in months is equal to his grandfather's age in years.
Recall,
12 months = 1 year
Hence,
let
x = age of grandson in month
It is the same age in years for the grandfather.
Therefore,
x = age of grand father in years
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,
x - x / 12 = 77
12x - x/12 = 77
11x / 12 = 77
cross multiply
11x = 924
x = 924 / 11
x = 84
Therefore, the grandson age in in years is 84 / 12 = 7 years.
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1000 ft.
Problem 3.2
100 ft.
A large rectangular swimming pool is 1000 feet long,
100 feet wide, and 10 feet deep.
The pool is filled to the top with water.
How much water does the pool hold?
Submit
Answer:
1,000,000
Step-by-step explanation:
you just get the Volume of the shape
Lisa
and penny are guests at a beachside hotel. lisa is laying on a towel at the beach which is 50 feet from the base of the hotel. when shi
looks up at an angle of 54.5 degrees, she can see her sister penny waving to her from the hotel window.
draw a scale representation of the triangle that models the situation and can be solved to find the stralght-line distance between penny
and lisa. round calculations to the nearest foot. each unit on the grid represents five feet.
drawing tools
click on a tool to begin drawing.
& delete
undo
0 reset
select
point
line segment
The straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Let's suppose the distance between the Lisa and Penny is x feet.
We can draw a right-angle triangle for this situation.
As we can see in the right angle triangle.
tan54.5 = x/50 (from the right-angle triangle)
x = 50tan54.5
x = 70.09 ≈ 70.1 feet
Thus, the straight-line distance between penny and Lisa is 70.1 feet if Lisa is laying on a towel at the beach, which is 50 feet from the base of the hotel.
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the units of a two-digit numeral is 5 more then the tens digit. the number is three times the sum of its digits. find the numeral
Answer:
27
Step-by-step explanation:
Let x = ten's digit
Let y = units' digit
Given: the units of a two-digit numeral means
that our final answer will be a 2 digit number (xy)
Given: 5 more than the tens digit means
y is 5 more than x (y = x + 5)
Given: the number is three times the sum of its digits.
xy is 3 times x + y
A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit
y = x + 5 and 10x + y = 3(x + y)
x - y = -5
7x - 2y = 0
Multiply the first equation by -2:
-2x + 2y = 10
7x - 2y = 0
Add the equations to get 5x = 10
So, x = 2 and y = x + 5 = 7
Reminder:
Let x = ten's digit
Let y = units' digit
The number is 27