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.
____________________
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
18. A variety of species of Galapagos finches evolved from one original species long ago through the process of A. as reproduction B. ecological succession C. natural selection D. selective breading
Pls help will give brainlest
c , Natural selection is the process where species evolved over time through trying to adapt their environment.
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
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!!
whats the answer need it quick
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
Step-by-step explanation:
A windowpane is 12 inches by 5 inches. What is the distance between opposite corners
of the windowpane? ( it’s the pythagorean theorem )
Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
24.2 16.9 6.7 Per. =
Check the picture below.
The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?
Answer:
P(4,4) / P(5/5) = 1/5
Step-by-step explanation:
Total possibility:
All the 5 books can be arranged in a rack with P(5,5)=5! ways
Favorable Possibility:
Math book is kept in a first place, it mean that it is fixed
So remaining 4 books and that can be arranged in P(4,4)=4! ways
Hence,
Probability= number of favorable cases / total number of possibilities
Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by
X + 3?
Answer:
remainder: -400
Explanation:
[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]
divided by x + 3
x + 3 = 0x = -3insert x = -3 in the function
[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]
[tex]\sf f(-3) = -400[/tex]
How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?
Answer:
the answer for this question is 1
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
What is the LCD of 6,4,3,42.?
Answer:
84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.
84 ÷ 6 = 14
84 ÷ 4 = 21
84 ÷ 3 = 28
84 ÷ 42 = 2
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°As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km.
The rotations of Earth and Mars around the sun.
Which statements are true? Check all that apply.
Answer:
ummmm i think its B and D
Step-by-step explanation:
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
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent.
Answer:
thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent
Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
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
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:
What is the difference between 3/4 and 1 1/2
Answer:
3
Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing
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 mAline 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)
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
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.
In the data set below, what is the interquartile range?
15
24
34
34
36
60
70
73
87
91
91
95
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]