Answer:
50%
Step-by-step explanation:
We are given this set of data: Age of professors in years
47, 44, 48, 43, 35, 65, 56, 37, 73,51
We can firstly rearrange the years properly in ascending order.
Hence we have:
35, 37, 43, 44, 48, 51, 53 56, 65, 73
The number of the professor given = 10 professors
The number of professors younger 50 years = 5
Therefore, the percentage of these professors who are younger than 50
Is:
5/10 × 100 = 50%
Therefore, 50% of the professors are younger than 50
answer it answer it it
Answer:
answer it answer it it
answer it answer it it
Answer:
the answer is answer i hope u have a great day
(if u apricate me giive me a brainly by pressing the crown and giving me a heart) THANKS!!!
Step-by-step explanation:
plz help ASAP!!!!!!!!!!!
WILL MARK BEAINLIST!
If you have a single straight vertical line cross the curve at more than one point, then you do not have a function. In other words, if an x input leads to multiple outputs, then you don't have a function.
in the equation x=c-b/a, find the value of x when c=10, b=2, and a=2
Answer:
9
Step-by-step explanation:
x = c - b/a
x = 10 - 2/2
x = 10 - 1
x = 9
Answer:
x = c - b (divided by) a
Step-by-step explanation:
x = 10 - 2over2
x = 10 - 1
x = 9
try 18/2 since that part is a fraction.
The subject is operations on rational expressions.
The instructions are add or subtract the following expressions. Remember to find a common denominator when necessary. Reduce all answers to lowest terms.
Answer:
[tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{4x}{(x-3)}+\frac{6}{(x+2)}[/tex]
= [tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]
Now we have done the denominators of each term of the expression equal.
Further we add the terms,
[tex]\frac{4x(x+2)}{(x-3)(x+2)}+\frac{6(x-3)}{(x+2)(x-3)}[/tex]
= [tex]\frac{4x(x+2)+6(x-3)}{(x-3)(x+2)}[/tex]
= [tex]\frac{4x^{2}+8x+6x-18}{(x-3)(x+2)}[/tex]
= [tex]\frac{4x^{2}+14x-18}{(x-3)(x-2)}[/tex]
Now factorize the numerator of the fraction.
4x² + 14x - 18 = 2(2x² + 7x - 9)
= 2(2x² + 9x - 2x - 9)
= 2[x(2x + 9) - 1(2x + 9)]
= 2(x - 1)(2x + 9)
Therefore, [tex]\frac{2(x-1)(2x+9)}{(x-3)(x-2)}[/tex] will be the answer.
The hotel bill for a number of people for overnight stay is ₹4800. If there were 4 more the bill of each person had to pay would have reduced by ₹200. Find the number of people staying over night
Answer:
8
Step-by-step explanation:
Given hotel bill = ₹4800
Let initially, number of people = [tex]x[/tex]
Initial Bill of each person = Hotel bill divided by number of people = [tex]\frac{4800}{x}[/tex]
4 people are added to the hotel stay.
i.e. new number of people = [tex]x+4[/tex]
New bill becomes ₹200 less for each person.
New bill for each person = [tex]\frac{4800}{x}[/tex] - 200
Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.
[tex]4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible[/tex]
Set R contains all integers from 10 to 125, inclusive, and Set T contains all integers from 82 to 174, inclusive. How many integers are included in R, but not in T?
Answer: PLEASE GIVE BRAINLIEST
72 integers
Step-by-step explanation:
Starting From 82-174 every integer is included in T so every integer that is not included in T but included in R would be 82-10 so every integer from 10 to 82.
The number of integers in set R that are not included in set T is 72.
Given:
Set R = {10 to 125}
Set T = {82 to 174}
To find:
number of integers in set R but not in TIntegers from 10 to 81 inclusive in set R are not in set T since set T starts from 82.
Integers in set R but not in set T = {10 to 81}
The number of integers from 10 to 81, inclusive = (81 - 10) + 1
= 71 + 1
= 72
Thus, the number of integers in set R that are not included in set T is 72.
learn more here: https://brainly.com/question/13617652
What is the price after taking 25% off $62?
Answer:
46.5 DOLLARS WILL BE YOUR ANSWER .Answer:
$46.50
Step-by-step explanation:
pls mark brainliest
Find the area of the shaded region
A. 12 ft^2
B. 36 ft^2
C. 40.5 ft^2
D. 18 ft^2
Answer:
The shaded area is 18 ft^2
Step-by-step explanation:
First find the area of the total trapezoid
A = bh
A = 1/2 ( b1+b2) *h
= 1/2 ( 6+12) *6
= 1/2 ( 18)*6
=54
Now find the area of the triangle
A = 1/2 bh
= 1/2 ( 12) * 6
= 36
Subtract the triangle from the trapezoid
54-36
18
The shaded area is 18 ft^2
Answer:
D. 18 sq.ft
Step-by-step explanation:
Lets make it simple and short.
Area of a triangle is 1/2 b h
b = 6
h = 6
Area = 1/2 * 6 * 6
Area = 18 sq.ft
Two more than 4 times the cube of a number is 34.
Answer:
2
Step-by-step explanation:
4x^3 + 2 = 34
4x^3 = 32
x^3 = 8
x=2
Which is the graph of y = [x]-2?
PLEASE HELP TIMED PLEASE
Answer:
3rd graph
Step-by-step explanation:
what is
[tex] \frac{3}{5} [/tex]
of 15
Answer:
9
Step-by-step explanation:
3/5 * 15
Rewriting as
3 * 15/5
3 * 3
9
The word "of" tells us we need to multiply.
So 3/5 of 15 means the same thing as (3/5) · (15).
Think of the 15 as 15/1 so when multiplying,
we can cross-cancel the 5 and 15 to 1 and 3.
So we have (3/1) · (3/1) which is 9/1 or just 9.
A shopkeeper selling an article at a discount of 25% looses Rs.125.If he allows 10% discount he gains Rs 250.Find the marked price and the costprice of the article. ..............(Plz send the ans clearly if you send the ans clearly I will mark you as a brainliest)
Answer:
i dont know
but try you will get the answer
HELP i don’t know how to do this
Answer:
4a
Step-by-step explanation:
4a
the top and right are a-b, but you have to add the b’s back in, so really all sides are a
a+a+a+a=4a
Answer: 4a
Step-by-step explanation: perimeter is the length of all sides added together. Every length is given combine like variables and you will get 4a+2b-2b. 2b-2b is 0 which leaves you with 4a
solve for -5x-13(2+x)=5x-10
Answer:
[tex]x=-\frac{16}{23}[/tex]
I hope this helps!
-when finding data as well as plotting data, you can find relationships within the data
displayed in charts or graphs, noticing the relationships can help build a solution a lot
easier.
this is what they wrote.
just type anything if u want the points.
Answer:
I came up with the answer check my questions to see it
Step-by-step explanation:
10. The probability of buying pizza for dinner is 34% and the probability of buying
a new car is 15%. The probability of buying a new car given that you eat pizza for
dinner is 42%. What is the probability of eating pizza for dinner given that they
buy a new car?
Answer:
The probability of eating pizza given that a new car is bought is 0.952
Step-by-step explanation:
This kind of problem can be solved using Baye’s theorem of conditional probability.
Let A be the event of eating pizza( same as buying pizza)
while B is the event of buying a new car
P(A) = 34% = 0.34
P(B) = 15% = 15/100 = 0.15
P(B|A) = 42% = 0.42
P(B|A) = P(BnA)/P(A)
0.42 = P(BnA)/0.34
P(B n A) = 0.34 * 0.42 = 0.1428
Now, we want to calculate P(A|B)
Mathematically;
P(A|B = P(A n B)/P(B)
Kindly know that P(A n B) = P(B n A) = 0.1428
So P(A|B) = 0.1428/0.15
P(A|B) = 0.952
What is the least common multiple of 70, 60, and 50?
Answer:
2100
Step-by-step explanation:
LCM of 70, 60, and 50?
First, find the prime factorization of each number.
70 = 2 * 5 * 7
60 = 2^2 * 3 * 5
50 = 2 * 5^2
The LCM is the product of some of the factors above. These are the factors you need to multiply together.
Choose factors that are common with the highest exponent and also factors that are not common.
Common factors: There is a 2, a 2^2, and a 2. Use the 2^2.
There is a 3. Use it.
There is a 5 and a 5^2. Use the 5^2.
There is a 7. Use it.
LCM = 2^2 * 3 * 5^2 * 7
LCM = 2100
Answer: 2100
We are planning a reception for our daughter. The hall that we are renting charges a $50 cleanup fee. In
addition to the cleanup fee, they charge $20 per guest for food and drinks.
If we have $3,700.00 available, what is the maximum number of guest we can invite without going over ou
budget?
Answer:
The answer is 235
Step-by-step explanation:
it's just basic long divistion.
Each serving of a pancake recipe calls for 1/4 cup of flour. How many servings can be made with 2 cups of flour?
Answer:
The correct answer is 8 servings of pancakes.
Step-by-step explanation:
If each serving of pancakes calls for 1/4 cup of flour, to find how many servings can be made with 2 cups of flour, we should divide 2 cups by 1/4 cup.
To do this, we can first convert 1/4 to a decimal by dividing the numerator by the denominator.
1/4 = 0.25
Next, we can go ahead with the division.
2 / 0.25 = 8
Therefore, 8 servings of pancakes can be made with 2 cups of flour.
Hope this helps!
A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?
[tex]|\Omega|=2^5=32\\|A|=10\\\\P(A)=\dfrac{10}{32}=\dfrac{5}{16}[/tex]
Answer:
answer is 5/16
Step-by-step explanation: i did plato
The area of the shaded sector of circle H is 32.
16
H
What is the area of the unshaded sector?
967
O 2247
32871
O 34571
Answer:
B
Step-by-step explanation:
Area of shaded region + Area of unshaded region = Area of circle
Area of the unshaded sector=256*pi-32*pi=224*pi
Answer:
radius Is 16
total area becomes pi r ^ 2 = 16^2 pi = 256pi
remaining area becomes
256 pi - 32 pi = 224 pi option b
brainliest pls
Explain the difference in the meaning of the "+1" in each of the following equations: f(x)=2x^2+5x+1 and g(x)=2(x+5)^2+1
Answers:
The +1 in f(x) is the y intercept
The +1 in g(x) is the y coordinate of the vertex
====================================================
Explanation:
For f(x), plugging in x = 0 leads to
f(x) = 2x^2+5x+1
f(0) = 2(0)^2+5(0)+1
f(0) = 1
Showing that (0,1) is the y intercept of f(x).
The same is not true for g(x)
g(x) = 2(x+5)^2+1
g(0) = 2(0+5)^2+1
g(0) = 51
-------------------------------
The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is
y = a(x-h)^2+k
with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.
Write the equation of the line that passes through the points (9,5)(9,5) and (8,-3)(8,−3). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line
Answer:
[tex]y = 8x -67[/tex]
Step-by-step explanation:
Given
(9,5) and (8,-3)
Required
Determine the line equation
First, we need to determine the slope of the line: using
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex]
Where
[tex](x_1,y_1) = (9,5)[/tex]
[tex](x_2,y_2) = (8,-3)[/tex]
So;
[tex]m = \frac{y_1 - y_2}{x_1 - x_2}[/tex] becomes
[tex]m = \frac{5 - (-3)}{9 - 8}[/tex]
[tex]m = \frac{5 +3}{9 - 8}[/tex]
[tex]m = \frac{8}{1}[/tex]
[tex]m = 8[/tex]
The line equation using point slope form is calculated as thus:
[tex](y- y_1) = m(x - x_1)[/tex]
Using [tex](x_1,y_1) = (9,5)[/tex] and [tex]m = 8[/tex], we have
[tex]y - 5 = 8(x - 9)[/tex]
Open the bracket
[tex]y - 5 = 8x - 72[/tex]
Make y the subject of formula
[tex]y = 8x - 72 + 5[/tex]
[tex]y = 8x -67[/tex]
What are all the numbers of Pi? I need this now please
Thank you!! ♥︎
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 ...
Step-by-step explanation:
A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of the athletes are football players, 25% are basketball players, and 24% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player
Answer: 0.29 or 29%
Step-by-step explanation:
Given :
Probability that the athletes are football players : P(football ) = 0.28
Probability that the athletes are basketball players : P(basketball) = 0.25
Probability that the athletes play both football and basketball: P( both football and basketball ) = 0.24
Now, using formula
P(either football or basketball)= P(football )+ P(basketball+ P( both football and basketball )
⇒P(either football or basketball)= 0.28+0.25-0.24 = 0.29
Hence, the probability that they are either a football player or a basketball player = 0.29 .
Help help help help help help help help help help help help
Answer:
$32.07
Step-by-step explanation:
I am not sure - are we seeing the full information about this problem ?
because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...
either total cost means including tax or not including tax. but it cannot mean both ...
I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.
I will solve this now based on this assumption.
100% = $30.25
1% = 100%/100 = 30.25/100 = $0.3025
6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82
the total price is then calculated either by
100% + 6%
or by
106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07
in both cases we get the same result, of course.
Answer:
32.171
Step-by-step explanation:
(100/x)/100 = 1/x
but the question is HOW
how does this work algebraically?
Answer:
1/x
Step-by-step explanation:
(100/x)/100
100/x ÷ 100
Copy dot flip
100/x * 1/100
Rewriting
100/100 * 1/x
1 * 1/x
1/x
Answer:
Step-by-step explanation:
Use KCF for fraction division
Keep the first fraction.
Change division to multiplication
Flip the second fraction.
[tex]\frac{100}{x}[/tex] ÷ x = [tex]\frac{100}{x}*\frac{1}{100} = \frac{1}{x}[/tex]
Which line is parallel to line r? line p line q line s line t
Answer:
Line S
Step-by-step explanation:
Answer:
line s
Step-by-step explanation:
coz if you extend both the line (line r and line s )
they will not intersect at any point...
plz let me know if it was helpful to you dude!
Write a verbal expression for each algebraic expression. 1. ²⁄₄ w to the 4th power 2. ˣ⁄₉ 3. ⅗ (3 - x))
Answer:
see below
Step-by-step explanation:
1) (2/4w)⁴
The product of two over four and w, to the fourth power.
2) x/9
The quotient of x and 9.
3) 3/5 (3 - x)
The product of three over five and the difference of 3 and x.
Answer:
See below
Step-by-step explanation:
1) The quotient of 2 and four times w to the 4th power
2) The quotient of x and 9
3) The quotient of 3 and 5 multiplied with the difference of 3 and x.
Jared ate1/4 of a loaf of bread. He cut the rest of the loaf
into1/8-loaf slices. How many slices of bread did he cut?
Answer:
He cut 6 slices
3/4 (leftover bread) equals to six eights (6/8)