In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.
to find:the probability of the students who studies art and biology.
solution:A= students study art
B= students study biology
N=42
n (ANB)= 10
n (A'NB)= 13
n (A'NB')= 7
the number of students who study only art:
n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')
= 42.10 - 13 - 7
= 12
the number of students who study only art:
= 16
p (ANB)= n (ANB)/N
= 10/40
= 0.238
probability the student who studies art and biology is 0.238.
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
We know that,
two angles which are formed by the intersection of two lines ,are equal and are called vertically opposite angles.
ATQ,
angle x lies on a line same as the other given angle which is intersected by an another line ,
hence,
x = 52°Aline passes through the points (3,18) and (8,23). Write a linear function rule in terms of x and y for
this line.
The linear function rule is y=
Answer:
y= x+15
Step-by-step explanation:
I am pretty sure this answer is right
M= slope
B= the Y-intercept
I used a graphing calculator to figure this out
The slope is 1/1 with equals 1
and the y intercept is at (0,15) whitch we just use 15
plug them in and you get
y= x+ 15
(Don't need the 1 is frount of x)
father will fence a circular garden whose radius is 3.5m.How many meters of fencing material will he use
Circumference:-
2πr2π(3.5)7π7(3.14)21.98mHe need 21.98m fencing material
Answer:
22 m
Step-by-step explanation:
Fencing refers to the border of the garden ⇒ circumferenceCircumference = 2πr and r = 3.5 mSolving
C = 2 x 22/7 x 3.5C = 2 x 1/2 x 22C = 22 mPLEASE HELP
You will take a test containing two types of questions, multiple choice and free response. MC questions are worth 4 points each and free response are worth 7 points each. You must answer at least 4 of the MC and no more than 10 you must answer at least 3 FR questions, but no more than 10. Total, you may only answer 18 questions. How many type of each question must you answer to maximize your score.
Answer:
I think the answer is 16 to maximize the score
Canada had 12,968,000 visitors while Mexico had 9,807,000 visitors. How many combined visitors did they have?
A. 22,775 visitors
B. 21,775,000 visitors
C. 22,765,000 visitors
D. 22,775,000 visitors
Answer: D
Step-by-step explanation: Add the two numbers
24.2 16.9 6.7 Per. =
Check the picture below.
help me solve please show steps
There can be several possibilities and causes
y>2x-1
Then line will be dashed and solution region to be shaded.y<2x-1
Same like beforey≤2x-1
Solid line should be done and shading the solution regiony≥2x-1
Same like beforey=2x-1
A straight line and no shadingCredit: Mister Brainly
There can be several possibilities and causes:
y>2x-1
Then line will be dashed and solution region to be shaded.
y<2x-1
Same like before
y≤2x-1
Solid line should be done and shading the solution region
y≥2x-1
Same like before
y=2x-1
A straight line and no shading
what is the slope of y = 15x + 5
Answer:
15
Step-by-step explanation:
from equation y= mx+c
we can equate m (slope/gradient) to 15
a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets cost 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee. the expression 5d + 5(2.5d) + 5(d-4) represents the amount the friends pay all together in dollars. which part of the expression represents the total amount the friends pay for meal tickets?
a. d-4
b. 5(2.5d)
c. 2.5d
d. 5(d-4)
Answer:
d. 5(d - 4)
Step-by-step explanation:
the entrance fee is d dollars
a booklet of ride tickets cost 2.5 times the entrance fee = 2.5d
a meal ticket costs $4 less than the entrance fee = d - 4
One meal ticket costs d - 4.
Five meal tickets cost 5(d - 4).
Answer: d. 5(d - 4)
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answer:
$182.91
Step-by-step explanation:
136.50 times 0.14 (14%) is 19.11
136.50 times 0.2 (20%) is 27.30
13650+19.11+27.30=182.91
factor each completely
n^2 - 11n + 10
[tex] {n}^{2} - 11n + 10 = [/tex]
[tex](n - 1)(n - 10)[/tex]
.................................................
f g(x) = 2x + 2, find g(a + h) - g(a).
Answer: 2h
Step-by-step explanation:
65%of 320+?=686
Options are:
a) 480
b) 452
c) 461
d) 475
e) none of these
Answer:
e) none of these
Explanation:
65% * 320 + ? = 686208 + ? = 686? = 686 - 208? = 478Answer:
e) None of these.
Step-by-step explanation:
Let the unknown number be x, then:
0.65*320 + x = 686
208 + x = 686
x = 686 - 208
= 478
____________________
Answer:
The solution is 215/2
Step-by-step explanation:
2×21,5÷2/5
= 2×43/2×5/2
= 43/2×5
= 215/2
= 107 1/2
Write the number names 438543=
ii)80,100,001
Answer:
Four lakhs thirty eight thousand five hundred fourty three.
ii)Eight crore ten lakhs one
Follow me friend
Answer:
i)four hundred thirty eight thousand five hundred forty three
ii) eighty million one hundred thousand one
Each grass square measures 1 foot by 1 foot. How much fence is needed to go around the garden?
Answer:
42 feet
Step-by-step explanation:
The length of fence is equal to the perimeter of the shape. That can be found by adding the lengths of the edges.
__
Clockwise from the upper left corner, the sum of edge lengths is ...
2 +6 + 3 + 6 + 2 + 7 + 1 + 1 + 5 + 1 + 1 + 7 . . . . feet
= 8 + 9 + 9 + 2 + 6 + 8 . . . . added pairwise
= 17 + 11 + 14
= 28 + 14 = 42 . . . feet
42 feet of fence is needed to go around the garden
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
24 :)
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
Lets solve!!
7^2 + b^2 = 25^2
49 + b^2 = 625
Now we subtract!!
625 - 49 = b^2
576 = b^2
Now we neeed to find the square root!!
[tex]\sqrt{576}[/tex] = 24
Have an amazing day!!
Please rate and mark brainliest!!
In a bag there are 2 red marbles, 3 white marbles and 5 blue marbles. Once a marble is selected, it is NOT replaced. Find the P(Blue then Red). Write your answer as a percent rounded to the nearest whole number.
Answer:
For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.
Step-by-step explanation:
Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?
Answer:
The answer is 56. There would be 56, 18 inch pieces of rope.
Step-by-step explanation:
Give Brainliest if you would like :)
3. can you subtract a binomial from another binomial and end up with a monomial? explain.
b) can you add monomial and end up with a binomial? explain
Answer:
Yes
Step-by-step explanation:
Let's pick 2 bionomials for this proof.
(3x+4) and (2x-4)
If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.
So yes, you can subtract a binomial from another binomial and get a monomial.
Hope this helps!
A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )
Can someone help me with this??
Answer:
36
Step-by-step explanation:
10+8+6+6+6
Area of the top rectange is 10 (2x5)
Area of the bottom rectange is 8 (2x4)
Area of the right rectangle is 6 (2x3)
Area of both the triangles are 6 (4x3 divided by 2)
last time, TO ALL AMAZING MATHMATICIANS PLS HELP ASAP, please do not put links in I won't click them and I know they're not the correct answer. Please these are urgent and I know its kind of tedious but i need help. Thank you so much to the kind smart person who ends up answering this.
Answer:
I just answered these with your most recent post.
Jessa has $23 that she wants to divide equally among her 5 children. How much money will each receive?
Answer:
23 /5=4.6
4 3/5
4 6/10
Ada got a new puppy for Christmas. She went to the pet store to buy the
things she needed for her puppy. She bought a collar for $18.37, an
identification tag for $15.67, a chew toy for $8.23, puppy shampoo for
$19.26, and a food and water dish for $21.28. The pet store gave her an
$7.50 discount for spending more than $50.00. How much did Ada spend
altogether?
Answer:
Hope it helps you.
Dose anybody know how to solve this problem
check the transformation template below, hmmm so to get the graph of "y" move to the right by 1 unit, we can simply make C = -1.
[tex]y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{0})+\stackrel{D}{0}\qquad \qquad y=\stackrel{A}{1}\log_2(\stackrel{B}{1}x+\stackrel{C}{1})+\stackrel{D}{0} \implies y=\log_2(x-1)[/tex]
now, the x-intercept is simply where the graph touches the x-axis, and when that happens y = 0, so
[tex]\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad a^{log_a x}=x\leftarrow \textit{let's use this rule} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{y}{0}~~ = ~~\log_2(x-1)\implies 2^0=2^{\log_2(x-1)}\implies 2^0=x-1 \\\\\\ 1=x-1\implies 2=x~\hspace{10em}\stackrel{x-intercept}{(2~~,~~0)}[/tex]
How many angles are formed by intersecting roads? Number the angles
Answer:
there are about 8 angles ,God bless you
Answer:
I count 4 angles
Step-by-step explanation:
See the attached image.
Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120
Answer:
120 <= 16+(w*d)
108<=d*w
Step-by-step explanation:
let w = weeks and d = dollars saved per week
PLS HELP THIS IS DUE TOMMROW
Write the prime factorization of the
numerator and denominator of this
fraction. Then reduce the fraction.
420
630
(Question 18 on the pic)
I WILL MARK AS BRAINLYEST AND GIVE POINTS
Answer:
Reducing 420/630
420/630 = (?)
420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*
= 2/3
420/630 = 2/3
The simplest form of 420/630 is 2/3
2/3 is the lowest term of 420/630.
Prime FACTORING:
This should help for visuals for 420:
420
| \
210 2
| \
105 2
| \
35 3
| \
7 5
This should help for visuals for 630:
630
| \
315 2
| \
105 3
| \
35 3
| \
7 5