Answers
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
Related Questions
The question and pic is on the picture I took a picture of
Answers
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
Which of the points are solutions to the inequality?
Check all that apply.
O (-2,-5)
0 (0.-4)
(1.1)
(3.5)
D (5.5
Answers
Answer:
A, C and D
Step-by-step explanation:
The missing inequality is:
y > 2x -4
To verify if a point is a solution, replace x into the equation, compute y, and see their relationship.
Option A: (-2,-5)
2(-2) -4 = -8
y = -5 > -8
then, the point is solution
Option B: (0,-4)
2(0) -4 = -4
y = -4 = -4
then, the point is not solution
Option C: (1,1)
2(1) -4 = -2
y = 1 > -2
then, the point is solution
Option D: (3,5)
2(3) -4 = 2
y = 5 > 2
then, the point is solution
Option E: (5,5)
2(5) -4 = 6
y = 5 < 6
then, the point is not solution
the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac
Answers
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 15^2
AC^2 = 16 + 225
AC^2 = 241
AC = √241
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answers
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
I need help with number 5
Answers
Answer:
A
Step-by-step explanation:
62 +65=127
C+127=180
C=180-127=53°
so x=53°
53-y=11
y=53-11=42
Answer: A
Step-by-step explanation:
Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.
We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.
62+65+x=180 [combine like terms]
127+x=180 [subtract 127 on both sides]
x=53
Now that we have x, we can find y by plugging in.
53-y=11 [subtract both sides by 53]
-y=-42 [divide both sides by -1]
y=42
What is this expression in simplified form?
(8/10)(8/5)
OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2
Answers
Answer:
A.64/50
Step-by-step explanation:
8/10*8/5
64/50
The least simplified form of the equation is 32/25
The simplified form of expression is option (D) 64/50 is the correct answer.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is (8/10)(8/5)
The simplified form of expression is
⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]
⇒ [tex]\frac{64}{50}[/tex]
Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.
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Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
Answers
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Answer:
B
Step-by-step explanation:
Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
Answers
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
Where a is the leading coefficient.
Consider functions f and g below.
g(x) = –x² + 2x + 4
The function can be written as
g(x) = –(x – 1)² + 5
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.
Then the correct option is C.
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If you're good at trigonometry please help me with question nine a and b and show full working out tyyyyyyyy ;)
Answers
Problem 9, part a)
Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.
With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...
tan(angle) = opposite/adjacent
tan(52) = 18.5/d
d*tan(52) = 18.5
d = 18.5/tan(52)
d = 14.4537840903742
The approximate value of d is 14.4537840903742 km
This rounds to 14.5 when rounding to one decimal place.
Answer: 14.5 km=======================================================
Problem 9, part b)
Recall that
distance = rate*time
where "rate" is another term for "speed" or "velocity"
We can solve this for the time to get
time = distance/rate
------
We found the distance back in part a) above. We are given the rate of 48 km/h
So,
time = distance/rate
time = 14.4537840903742/48
time = 0.3011205018828
This is the time it takes in hours. Multiply by 60 to convert to minutes
0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes
This rounds to the whole number 18
Answer: 18 minutesFIND THE MISSING LENGTH INDICATED
Answers
Answer:
25 units.
Step-by-step explanation:
The first thing we need to do is find the hypotenuse of the triangle with side lengths 12 and 16. 12^2 + 16^2 = 144 + 256 = 400. sqrt(400) = 20. So, the hypotenuse of that triangle is 20 units.
Because the smaller length of the smaller triangle bisects the largest triangle's right angle, the two triangles are similar, with the side length 12 corresponding to the smaller side length of the larger triangle, the side length 16 corresponding to the 20 unit side, and the 20 unit hypotenuse corresponding to x.
Now that we know the triangles are similar, we can construct a proportion...
[tex]\frac{16}{20} =\frac{20}{x}[/tex]
That means that 4/5 = 20/x
1/5 = 5/x
x = 25
Hope this helps!
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
Answers
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
Dan must choose a shirt, a pair of pants, and a cap for today's outfit. He has 2 shirts, 2 pairs of pants, and 3 caps to choose from. How many different outfits can he make?
Answers
Answer:
12 different outfits
Step-by-step explanation:
2 x 2 x 3 = 12 outfits.
Answer:
12
Step-by-step explanation:
He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:
2 * 2 * 3 = 12 outfits
x^2 + 20x + 28 = 9 find the graphing/vertex form
Answers
Answer: [tex](x+10)^2+119=0[/tex]
Step-by-step explanation:
For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.
The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]
Subtract 9 from both sides
[tex]=x^2+20x+19=0[/tex]
compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides
b= 20
[tex]x^2+20+100+19=-100[/tex] [(b/2)²=20/2=10]
[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]
[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]
So, the vertex form : [tex](x+10)^2+119=0[/tex]
On two investments totaling $13,500, Peter lost 3% on one and earned 5 % on the other. If his net annual receipts were $319, how much was each investment?
Answers
y = amount of 5% gain investment
x + y = 13,500 {the two investments total $13,500}
-0.03x + 0.05y = 319 {3% loss on one and 5% gain on other, receipt is $319}
x = -y + 13,500 {subtracted y from each side of first equation}
-0.03(-y + 13,500) + 0.05y = 319 {substituted (-y + 13,500), in for x, into second equation}
0.03y - 405 + 0.05 = 319 {used distributive property}
0.08y - 405 = 319 {combined like terms}
0.08y = 724 {added 405 to each side}
y = 9050 {divided by 0.08}
x = -y + 13,500 {from equation above}
x = -9050 + 13,500 {substituted 9050 in for y}
x = 4450 {added}
The 3% loss investment was $4450
The 5% gain investment was $9050
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answers
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.
A rectangular wall has length 3 less than 4 times the width . I wish to put a silver line along the corners of the wall. The lining costs 25 cents per foot and I spent a total of $18.50 for the lining on the corners of the wall. If painting costs 20 cents per square foot , how much dose it cost to paint the wall? PLEASE ANSWER correctly. I WILL GIVE BRAINLIEST ANSWER TO U IF U DO
Answers
Answer:
Step-by-step explanation:
Let width = w units
Length = 4w - 3
Cost for lining corners of wall = $ 18.50
Perimeter of the wall = 18.50/0.25 = 74 ft
2*(length +width ) = 74
2*(4w - 3 + w) =74
2*(5w - 3) =74
10w - 6 = 74 {Add 6 to both sides}
10w - 6 + 6 = 74 + 6
10w = 80
Divide both sides by 10
10w/10 = 80/10
w = 8 ft
Length = 4w - 3 = 4*8 - 3 = 32 - 3
Length = 29 ft
Area of the wall = length * width
= 29 * 8
= 232 square ft
Cost of painting the wall per square feet = 20 cents = 0.20
Cost of painting 232 square feet = 232 * 0.20
= $ 46.40
To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?
Answers
Answer:
30.24/16= $1.89 per gallon = c/g
Step-by-step explanation:
c = $30.24
g = 16
Divide c/g
Answer:
g gallon = $1.89 g
Step-by-step explanation:
Gallon = g
16 gallons = 16 g
Cost = $30.24
So,
16 gallons = $30.24
1 gallon = $30.24/16
1 gallon = $1.89
g gallon = $1.89 g
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answers
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
Three tins, A, B and C, each contain buttons.
Tin A contains x buttons.
Tin B contains 4 times the number of buttons that tin A contains.
Tin C contains 7 fewer buttons than tin A.
The total number of buttons in the three tins is 137
Work out the number of buttons in tin C.
Answers
x+4x+x-7= 137
combine like terms
6x-7=137
isolate the variable by adding 7 to both sides
6x=144
divide
x=24
but remember, tin c is x-7 so plug the 24 in, and the answer is 17.
The number of buttons in C is 17 buttons
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the three tins be A , B and C respectively
The number of buttons in tin A = x
The number of buttons in tin B = 4 times the number of buttons in tin A
= 4x
The number of buttons in tin C = 7 fewer buttons than tin A
= x - 7
The total number of buttons in tin A , tin B and tin C together = 137 buttons
So , the total number of buttons =
number of buttons in tin A + number of buttons in tin B + number of buttons in tin C
So , the equation will be
Total number of buttons = x + 4x + ( x - 7 )
x + 4x + ( x - 7 ) = 137
6x - 7 = 137
Adding 7 on both sides , we get
6x = 144
Divide by 6 on both sides , we get
x = 24 buttons
So , the number of buttons in tin A is 24 buttons
So , number of buttons in tin B = 4 x 24
= 96 buttons
Therefore , the number of buttons in tin C = 17 buttons
Hence , the number of buttons in tin C is 17 buttons
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In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.
Answers
Answer:
20
Step-by-step explanation:
PLEASE HELP ME ASAP!!!! I DON'T UNDERSTAND THIS!!!!
Answers
Answer: 62
Step-by-step explanation:
The surface area of a rectangular prism is 2(wl+hl+hw).
Simply plug in the values to get 62
Answer:
62cm ^2
Step-by-step explanation:
every cube has 6 sides,
2(3*5) + 2(2*3)+ 2(2*5)=
2(15)+2(6)+2(10)=
30+12+20=
62
plzzzzz answer this question about density mass and volume!!!!!!!!!
Answers
Answer:
13.896 kg
Step-by-step explanation:
You can find the mass of the bar by first finding the volume.
V = BH
where B = area of the base (the trapezium), and
H = height (distance trapezium between bases)
The area of a trapezium is
A = (b1 + b2)h/2
where b1 and b2 are the lengths of the bases of the trapezium (the parallel sides), and
h = the altitude of the trapezium (distance between the bases of the trapezium)
V = (b1 + b2)h/2 * H
V = (12 cm + 6 cm)(5 cm)/2 * 16 cm
V = 720 cm^3
The volume of the bar is 720 cm^3.
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 19.3 g/cm^3 * 720 cm^3
mass = 13,896 g
Now we convert grams into kilograms.
1 kg = 1000 g
mass = 13,896 g * (1 kg)/(1000 g)
mass = 13.896 kg
Answer: 1.3896 kg
Which of the following are reasons used in the proof that the angle-bisector construction can be used to bisect any angle?
Check all that apply
A. Any Line segment can be extended indefinitely
B. All of the radii of a circle are congruent
C .CPCTC
D. SSS triangle congruence postulate
Answers
Answer: B C D
Step-by-step explanation:
just answered it for AP3X
Reasons used in the proof that the angle-bisector construction can be used to bisect any angle are as follows:
B. All of the radii of a circle are congruent
C .CPCTC
D. SSS triangle congruence postulate
What is angle bisector ?" Angle bisector is defined as the ray which divides the angle into two equal parts."
According to the question,
A. Any Line segment can be extended indefinitely is not required to bisect any angle .
Therefore , it is not a correct option.
B. All of the radii of a circle are congruent : To bisect an angle draw an arc with same radii is used in constructing an angle bisector .
Therefore , Option B is a correct option.
C. CPCTC : Corresponding parts of a congruent triangle are congruent is required to proof angle bisector. As it proofs two triangles are congruent.
Therefore, Option C is the correct option.
D. SSS triangle congruence postulate : It is required an important step to prove that two triangles are congruent which imply proof of angle - bisector construction.
Therefore, Option D is the correct option.
Hence, Option B, Option C , Option D are the correct answer.
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Please help me out i need it ASAP
Answers
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)
You are making a welding fixture and must cut down a length of copper tubbing from 15 1/8 inches to 8 3/4 inches. If the leftover piece is long enough, you will use it in another fixture . How long will the leftover piece be ? 23 and 7/8 1 and 51/70 7 and 1/8 6 3/8
Answers
Answer: [tex]6\dfrac{3}{8}\text{ inches}[/tex]
Step-by-step explanation:
Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches
[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches ( In improper fraction )
Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches
[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )
[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]
Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex] long.
A math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment. Compute the probability that a. a male is selected, then two females. b. a female is selected, then two males. c. two females are selected, then one male. d. three males are selected. e. three females are selected.
Answers
Answer:
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
Step-by-step explanation:
We are given that a math class consists of 25 students, 14 female and 11 male. Three students are selected at random to participate in a probability experiment.
(a) The probability that a male is selected, then two females is given by;
Number of ways of selecting a male from a total of 11 male = [tex]^{11}C_1[/tex]
Number of ways of selecting two female from a total of 14 female = [tex]^{14}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_1 \times ^{14}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{11!}{1! \times 10!} \times \frac{14!}{2! \times 12!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(b) The probability that a female is selected, then two males is given by;
Number of ways of selecting a female from a total of 14 female = [tex]^{14}C_1[/tex]
Number of ways of selecting two males from a total of 11 male = [tex]^{11}C_2[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_1 \times ^{11}C_2}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{1! \times 13!} \times \frac{11!}{2! \times 9!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{770}{2300}[/tex] = 0.3348
(c) The probability that two females is selected, then one male is given by;
Number of ways of selecting two females from a total of 14 female = [tex]^{14}C_2[/tex]
Number of ways of selecting one male from a total of 11 male = [tex]^{11}C_1[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_2 \times ^{11}C_1}{^{25}C_3}[/tex]
= [tex]\frac{\frac{14!}{2! \times 12!} \times \frac{11!}{1! \times 10!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{1001}{2300}[/tex] = 0.4352
(d) The probability that three males are selected is given by;
Number of ways of selecting three males from a total of 11 male = [tex]^{11}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{11}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{11!}{3! \times 8!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{165}{2300}[/tex] = 0.0717
(e) The probability that three females are selected is given by;
Number of ways of selecting three females from a total of 14 female = [tex]^{14}C_3[/tex]
Total number of ways of selecting 3 students from a total of 25 = [tex]^{25}C_3[/tex]
So, the required probability = [tex]\frac{^{14}C_3}{^{25}C_3}[/tex]
= [tex]\frac{ \frac{14!}{3! \times 11!} }{\frac{25!}{3! \times 22!} }[/tex] {[tex]\because ^{n}C_r = \frac{n!}{r! \times (n-r)!}[/tex] }
= [tex]\frac{364}{2300}[/tex] = 0.1583
(a) The probability that a male is selected, then two females is 0.4352.
(b) The probability that a female is selected, then two males is 0.3348.
(c) The probability that two females are selected, then one male is 0.4352.
(d) The probability that three males are selected is 0.0717.
(e) The probability that three females are selected is 0.1583.
A recent survey found that 65% of high school students were currently enrolled in a math class,43% were currently enrolled in a science class,and 13% were enrolled in both a math and a science class. Suppose a high school student who is enrolled in a math class is selected at random. What is the probability that the student is also enrolled in a science class?
Answers
Answer: 0.20
Step-by-step explanation:
As per given :
P(student enrolled in a math class ) = 65% = 0.65
P( student enrolled in a science class) = 43%= 0.43
P( student enrolled in both ) = 13% = 0.13
Formula of conditional probability :
[tex]P(A|B)=\dfrac{P(A\text{ and }B)}{P(B)}[/tex]
Using the above formula,
The probability that the student is enrolled in a science class given that he is enrolled in maths class :
[tex]P(\text{science}|\text{math})=\dfrac{P(\text{science and maths})}{P(\text{math})}\\\\=\dfrac{0.13}{0.65}\\\\=\dfrac{13}{65}\\\\=\dfrac{1}{5}=0.20[/tex]
Hence, the probability that the student is also enrolled in a science class = 0.20 .
The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!
Answers
Answer:
not sure,but I think the answer is 3 to 4
PreCalculus Unit 3 Activity 90 POINTS
Answers
Answer:
19900kk
Step-by-step explanation:
i need deez points fr doe
Step-by-step explanation:
convert the angle from radian to degree you will get 225°
To draw it draw first 180° then ad 45° to make it easy
simplify the expression [tex]-\frac{4x+7}{2} -\frac{3x-2}{2}[/tex]
Answers
Answer:
-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2