Answer:
Step-by-step explanation:
Total outcome is 10 and favorable outcome is 2 ⇒ the probability that the first number is a multiple of five is [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]
Total outcome is 9 and favorable outcome is 3 ⇒ the probability that the first number is a multiple of three is [tex]\frac{1}{3}[/tex] if first draw was successful, and [tex]\frac{2}{9}[/tex] if the first number was multiple of three.
Using conditional probability, it is found that there is a 0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: First number is a multiple of 5.Event B: The second number is a multiple of 3.There are 10 numbers, of which 2(5 and 10) are multiples of 5, hence [tex]P(A) = \frac{2}{10} = 0.2[/tex]
Then, supposing a multiple of 5 is taken, there will be 9 numbers, of which 3(3, 6 and 9) are multiples of 3, hence [tex]P(B|A) = \frac{3}{9} = \frac{1}{3} = 0.3333[/tex]
Then:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)P(B|A)[/tex]
[tex]P(A \cap B) = 0.2(0.3333)[/tex]
[tex]P(A \cap B) = 0.0667[/tex]
0.0667 = 6.67% probability that the first number is a multiple of five and the second number is a multiple of three.
A similar problem is given at https://brainly.com/question/14398287
please i really need help The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fraction of employees answered less than of their incoming calls before the second ring?
Answer:
B
Step-by-step explanation:
If we count the number of points we find out that there are 36 employees
so the fraction must go like x/36
x is the numbers of dots that are less than a 1/2 which are 1/8, 1/4 and 3/8
so x=6
6/36
1/6
so option B
HELP!!!!!!!!!!!!!!!!
Answer:
14...
area = 1/2 b h
b= 7-0 = 7 ... 7/2 = 3.5
h = 7-3 = 4
3.5 * 4 = 14
Step-by-step explanation:
help for abunch of points.
Answer:
It was reflected over the line x-1 or D.
Step-by-step explanation:
The triangle is no longer in the second quadrant, it moved to the 3rd quadrant meaning it had to be reflected over line x-1
If you know the answer please help me
Answer:
2/7
Step-by-step explanation:
This is basically asking how many 7/10 's fit in 1/5. Or 1/5 divided by 7/10.
1/5 divided by 7/10 is the same as 1/5 times the reciprocal, 10/7. Therefore it is 1/5*10/7, or 10/35.
That simplifies to 2/7.
Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge's relatives,as compared to his classmates, like salsa music?
Answer:
6 more
Step-by-step explanation:
Find 56% of 75 first
75/x=100/56
(75/x)*x=(100/56)*x
75=1.78571428571*x
(1.78571428571) to get x
75/1.78571428571=x
42=x
x=42
Then Find 80% of 60
60/x=100/80
(60/x)*x=(100/80)*x
60=1.25*x
60/1.25=x
48=x
x=48
Subtract 48 by 42
=6
Clinton is having a coin drive. Each class has a goal of 600 pennies.Layla has already collected 338 pennies. How many more pennies does Layla need to collect to reach their goal. PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST PLEASE AND EXPLAIN HOW YOU GOT YOUR ANSWER
Answer:
262 pennies
Step-by-step explanation:
If Layla already has 388 pennies and she needs 600 pennies total, all she needs to do is is take the amount she already has away from 600:
Helppp thank you!!!!!
Answer:
D
Step-by-step explanation:
x is greater than 12:
[tex]x>12 \text{ or } 12<x[/tex]
and x is less than or equal to 3 times the value of y:
[tex]12<x\leq 3y[/tex]
We can divide everything by 3:
[tex]4<\frac{x}{3} \leq y[/tex]
Solve x^3 = 1 over 8.
1 over 2
±1 over 2
1 over 4
±1 over 4
Answer:
x = 1/2
Step-by-step explanation:
x^3 = 1/8
Take the cube root of each side
x^3 ^ (1/3) = (1/8)^ (1/3)
Rewriting 8 as 2^3
x^3 ^ (1/3) = (1/2^3)^ (1/3)
x = 1/2
x³ = 1/8
8 can be written as 2³
x³ = 1/2³
(x)³ = (1/2)³
When exponents are same bases are taken and exponents are eliminated
x = 1/2
Hence, the required answer is 1/2Find the least number which added to 3597 will make it a perfect square?
Answer:
3
Step-by-step explanation:
when 3 is added 3597 becomes 3600 which is square of 60
Help, Answer ASAP; will give brainliest
Answer:
PY = 14.5
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, thus
XZ = WY , that is
4x - 1 = x + 7 + x + 7
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = 7.5
Thus
PY = x + t = 7.5 + 7 = 14.5
Step-by-step explanation:
py is equal to wp because the figure is a rectangle.x+7+x+7= 4x-1
2x+14=4x-1
14= 2x-1
15= 2x (divide)
x = 7.5
wp= 7.5cm
not really sure
How many 1-foot rulers laid end to end would
it take to equal 3 yards?
Answer:
9
Step-by-step explanation:
can someone help me with this graphical method equation 3x + 5y = -2 7x - 8y = 15
Answer:
x = 1
y = -1
Step-by-step explanation:
3x + 5y = -2
7x - 8y = 15
=> -8y = 15 - 7x
=> -y = 15/8 - 7/8x
=> y = -15/8 + 7/8x
3x + 5(-15/8 + 7/8x) = -2
=> 3x -75/8 + 35/8x = -2
=> 24/8x - 75/8 + 35/8x = -16/8
=> 59/8x - 75/8 = -16/8
=> 59/8x = 59/8
=> x = 59/8 x 8/59
=> x = 472/472
=> x = 1
x = 1
So, 3x + 5y = -2
=> 3 (1) + 5y = -2
=> 3 + 5y = -2
=> 5y = -5
=> y = -5/5
=> y = -1
So, x = 1
=> y = -1
Consider the reflection of parallelogram PQRS across the line of reflection wy
Answer:
Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5
Step-by-step explanation:
What is the value of a in the given figure
Answer:
soln
let one side be c
let another side be d
then
40=d(vertically opposite angle)
5a =c(vertically opposite angle)
again
c+90=180(being linear pair)
or, c=180-90
therefore, c=90
finally
let c be a
5a=5×90
=450
Answer:
a = 10
Step-by-step explanation:
CF is a straight line , so the 3 angles on it sum to 180° , then
∠ BOA = 180° - (90 + 40)° = 180° - 130° = 50°
∠ DOE = ∠ BOA ( vertical angles ) , then
5a = 50 ( divide both sides by 5 )
a = 10
Rewrite the following equation in standard form.
y = -7x - 1
Standard form is written Ax + By = C where A, B, and C are all integers.
In other words, no fractions.
Also, the A or the coefficient of the x term must be positive.
The only thing we need to do is add 7x to both sides to get 7x + y = -1.
So 7x + y = -1 is our answer.
Answer: 7x+y=-1
Step-by-step explanation:
Add 7x to both sides
Please help a brother out, I'm almost out of time
Answer:
answer is 7
Step-by-step explanation:
z-(3÷3-1)
make y = 3
z = 7
7 - (3÷3-1)
7 - 0
= 7
I hope it answers your question.
Answer: its 7
have a good day gang
Question 3 of 10
True or false? In a two-column proof, the right column states your reasons.
A. True
OB. False
SUBMIT
Answer:
A- True
Step-by-step explanation:
If you search a picture of the graph then you will see it as well!!! Hope this helps!!!!
What x 1/4 = 2
? X 1/4 = 2
It’s an equation
Ruben goes to a shop to buy 24.5m of cloth and 13.5m ribbon. The cloth costs Rs.85.40 per metre and the ribbon costs Rs.8.5 per metre. If he pays Rs. 2300 to the shopkeeper, how much money will he get back?
Answer:
Rs.92.95
Step-by-step explanation:
Given the following :
Metres of cloth purchased = 24.5m
Metres of ribbon = 13.5m
Cost of cloth per metre = Rs.85.40
Cost of Ribbon per metre = Rs.8.50
Total amount given to shopkeeper = Rs. 2300
how much money will he get back?
Total cost of cloth:
Cost per metre * number of metres
85.40 * 24.5 = Rs. 2092.30
Total cost of Ribbon :
Cost per metre * number of metres
8.50 * 13.5 = Rs. 114.75
Total cost of goods purchased :
Rs. (2092.30 + 114.75) = Rs. 2,207.05
Amount of change :
Rs. (2300 - 2207.05) = Rs.92.95
Find the measure of a.
Answer:
50 degrees
Step-by-step explanation:
We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.
fyi, using the same logic, angle b is 25 degrees
Find th slope of the line passing through the points (5,8) and (6,12)
Answer:
Slope= 4
Step-by-step explanation:
y2-y1/x2-x1
5=x1 8=y1 etc.
12-8/6-5
=4/1
Answer:
The slope of the line is 4.
Step-by-step explanation:
To solve for the slope of the line, use the rise over run formula. The rise over run formula is a measure of how much something changes vertically compared to how much it changes in the horizontal direction. The rise over run formula calculates the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). The formula looks like [tex]\frac{rise}{run}[/tex], but in terms of finding a slope, it looks like [tex]\frac{y_{2}-y_{1} }{x_2-x_1}[/tex].
For finding the slope of this line with the points (5,8) and (6,12), start by writing down the information given from the question.
[tex]y_2=12[/tex]
[tex]y_1=8[/tex]
[tex]x_2=6[/tex]
[tex]x_1=5[/tex]
Next, plug in the information given from the question into the formula, and the formula will look like [tex]\frac{12-8}{6-5}[/tex]. Then, simplify the equation, which will look like [tex]\frac{4}{1}=4[/tex]. The final answer will be 4.
what is another expression equivalent to 3(8-2)
Answer:
3(6)
??
Step-by-step explanation:
The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
181.8yd
Step-by-step explanation:
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
How do I even start this? And how to i order the equation to solve
[tex]f(g(h(x)))=f(g(\sqrt x))=f(\sqrt x-1)=\boxed{(\sqrt x-1)^4+4}[/tex]
This is because
[tex]h(x)=\sqrt x[/tex]
[tex]g(x)=x-1[/tex]
[tex]\implies g(h(x))=\sqrt x-1[/tex]
(that is, replace any instance of x in the definition of g with √x )
and
[tex]f(x)=x^4+4[/tex]
[tex]\implies f(\sqrt x-1)=(\sqrt x-1)^4+4[/tex]
(replace any x in f with √x - 1)
Also acceptable:
[tex](\sqrt x-1)^4+4=((\sqrt x)^4-4(\sqrt x)^3+6(\sqrt x)^2-4\sqrt x+1)+4[/tex]
[tex]=\boxed{x^2-4x\sqrt x+6x-4\sqrt x+5}[/tex]
(assuming x is not negative)
The following diagram shows the lines x – 2y – 4 = 0, x + y = 5 and the point P(1, 1). A line is drawn from P to intersect with x – 2y – 4 = 0 at Q, and with x + y = 5 at R, so that P is the midpoint of [QR].
Find the exact coordinates of Q and of R.
Answer:
Q(2/3, -1 2/3)R(1 1/3, 3 2/3)Step-by-step explanation:
Let (a, b) represent the coordinates of point Q on line x -2y -4 = 0. Then we know that ...
a -2b -4 = 0
a -2b = 4
__
If P is the midpoint of QR, then ...
R = 2P -Q = 2(1, 1) -(a, b) = (2 -a, 2 -b)
We know this point satisfies the equation for the other line:
x + y = 5
(2 -a) +(2 -b) = 5
a + b = -1 . . . . . . . . . . . rearrange to standard form
__
To find the solution to these two equations, we can subtract the first from the second:
(a +b) -(a -2b) = (-1) -(4)
3b = -5
b = -5/3
a = -1 -1b = -1 -(-5/3) = 2/3
The point Q is (a, b) = (2/3, -5/3).
The point R is ...
R = (2 -a, 2 -b) = (2 -2/3, 2 -(-5/3)) = (4/3, 11/3)
The exact coordinates of Q and R are ...
Q(2/3, -5/3), R(4/3, 11/3)
_____
Comment on the GeoGebra solution
The points can be found by reflecting either line across point P. Where that reflected line intersects the other line is one of the points of interest. Of course, the other is its reflection in P. You may recognize the equation for line b' (hidden in the diagram) as matching the second equation we derived above.
There are 120 students going in a field trip. If each bus held 30 students, how many buses are needed?
A:6
B:5
C:4
D:3
Answer:
4
Step-by-step explanation:
120/30 = 4
Since a bus can hold 30 students, that means we need 4 busses to hold all 120 students.
Determine if the triangles are congruent.
Answer:
Answer to number 3:
Yes, because these two are similar triangles for sure so all their respective angles are equal in measure, and two pairs of sides are congruent to each other, so the third one must be congruent too.
graph a
graph b
graph c
graph d
which of the following isthe√×51? answer is A .0-1
What is the probability of the complement of rolling a number less than 5 by using a six sided dye
Answer:
2/3
Step-by-step explanation:
Less than 5 is 1,2,3,4 and 4 out of 6 is also equal to 2/3