The correct value of probability of selecting a 2 both times is 1/200.
Let's calculate the correct probability.When randomly selecting an integer from 0 to 39, there is 1 favorable outcome (selecting a 2) out of 40 possible outcomes. Therefore, the probability of selecting a 2 in the first selection is 1/40.
Similarly, when randomly selecting an integer from 0 to 4, there is 1 favorable outcome (selecting a 2) out of 5 possible outcomes. Therefore, the probability of selecting a 2 in the second selection is 1/5.
To find the probability of both events happening (selecting a 2 in both selections), we multiply the individual probabilities:
P(Selecting a 2 both times) = (1/40) * (1/5) = 1/200
Therefore, the probability of selecting a 2 both times is 1/200.We are given two independent events:
Randomly selecting an integer from 0 to 39 (inclusive).
Randomly selecting an integer from 0 to 4 (inclusive).
We want to calculate the probability of selecting a 2 in both selections.
In the first selection, there is only one favorable outcome (selecting a 2)out of 40 possible outcomes (numbers from 0 to 39). Therefore, the probability of selecting a 2 in the first selection is 1/40.
In the second selection, there is again only one favorable outcome (selecting a 2) out of 5 possible outcomes (numbers from 0 to 4). So, the probability of selecting a 2 in the second selection is 1/5.
Since the two events are independent, we can multiply their individual probabilities to find the probability of both events happening.
Probability of selecting a 2 in both selections = (1/40) * (1/5) = 1/200Therefore, the probability of randomly selecting a 2 in both selections is 1/200. This means that out of all possible outcomes, there is a 1 in 200 chance of selecting a 2 in both selections.
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(2x-1)^2
PLEASE HELP
Answer:
4x^2 - 4x + 1
Step-by-step explanation:
Solve problem below
g(x) = (x ^ 2 + 4x + 3)/(x ^ 2 - 81)
Answer:
x=9, -9
Step-by-step explanation:
Use difference of squares to the denominator.
so
[tex]\frac{x^2+4x+3}{(x+9)(x-9)}[/tex]
If you plug 9 or -9 for x, the denominator becomes 0, meaning that the value would be undefined. Thus, if would not be in the domain of g.
So, x=9, -9
Work out the value of 6c + 7
when c = 8
Answer:
6c+7 (c=8)
Step-by-step explanation:
6×8+7
48+7
do the addition answer will come
The value of the expression 6c + 7 at c =8 will be 55.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of the expression will be given as:-
E = 6c+7
Put (c=8) in the above expression
E =6×8+7
E = 48+7
E = 55
Therefore the value of the expression 6c + 7 at c =8 will be 55.
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Six friends together with their respective partners all meet up for a meal. To commemorate the occasion, they arrange for a photograph to be taken of all 12 of them standing in a line.How many different arrangements are these if each friend is standing next to his or her partner?
Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
[tex]T = 2A_{6} = 2*6! = 1440[/tex]
1440 different arrangements are possible.
Mr Mazibuko monthly salary before tax is R12 700 what will be his salary after paying 11% tax
Answer:
R11 303
Step :
Find 11% of R12 700
R12 700 × 11/100
=R1 397
then substract the 11% from R12 700
R12 700 - R1 397
=R11 303
A bicycle has a listed price of $577.98 before tax. If the sales tax rate is 6.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
$615.54
Step-by-step explanation:
Step 1
Write your problem.
577.98 x 6.5% = ?
Step 2
Convert the % to a decimal:
6.5% to 0.065
Step 3
Rewrite the problem with decimal replacing the percentage.
Now the problem looks like this:
577.98 x 0.065 = 37.56
This problem gives the amount of the tax.
Step 4
Add the original price with the tax amount:
577.98 + 37.56 = $615.54 (total cost)
Last season, two running backs on the Steelers
football team rushed for a combined total of
1550 yards. One running back ran for 450 yards
more than the other. How many yards did they
each run?
Answer:
Step-by-step explanation:
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. this is the equation that was used
x + y = 1550
y = 4x
Margie needs 7 ticket to the same soccer game.
Describe the best way to figure out Margies EXACT cost, if we know that 3 tickets cost $53.00.
Answer:
$123.66
Step-by-step explanation:
53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66
This afternoon Ariana left, rode the bus 3/4 of a mile, and then walked 1/2 of a mile to get home. How much farther did Ariana ride than walk
HELP ME NOW
04 Fill in the blank Drag and Drop
Raven has driven 90 miles, which represents 30% of the total distance she diving
What is the total distance Raven is driving, and how many miles does she have left to drive
Drag a number into each box to complete the sentences
Raven is driving a total distance of
miles. She has
miles left to die
11 27
11 30
11 63
1 90
11 117
11 210
11 300
11990
Answer:
its blurry
Step-by-step explanation:
Find the maximum rate of change off at the given point and the direction in which it occurs.
f(x, y) = 4y √x, (4, 1)
Answer:
Maximum rate change |[tex]\nabla[/tex]f| = √65
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Step-by-step explanation:
Given that;
f(x, y) = 4y √x, (4, 1)
{ x=4 and y=1 }
Maximum rate of change occurs with the gradient vector;
[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]
we substitute in our value of x and y
[tex]\nabla[/tex]f = 2(1)/√4, 4√4
[tex]\nabla[/tex]f = 2/√4, 4√4
[tex]\nabla[/tex]f = ( 1, 8 )
Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)
Maximum rate change |[tex]\nabla[/tex]f| = √65
Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|
we substitute
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
HelllpFind an equation of a line that contains the points (-3,-1) and (2,-2). Write the equation in slope-intercept form.
Answer:
y = -1/5x -8/5
Step-by-step explanation:
(-3,-1) and (2,-2)
m=(y2-y1)/(x2-x1)
m = ( -2 + 1)/(2 + 3)
m = (-1)/(5)
m = -1/5
y - y1 = m(x - x1)
y + 1 = -1/5(x + 3)
y + 1 = -1/5x -3/5
y = -1/5x -8/5
Which of the following equations is in standard form? O y = 2x + 3 O-3x - 2x = 6 O 2x + 3y = 6 O y - 2 = 3(x + 1)
Which of the following should not be used as a guideline for making a purchase?
a.
You budgeted for it.
b.
You can afford it.
c.
You need it.
d.
You want it.
Answer: the answer is ddd
Step-by-step explanation:
100Pts fast plz
A triangular pen is modeled by △ABC. The vertices of △ABC are A(0, 8), B(12, 3), and C(7, –9). What is the area of the pen?
Answer:
The area of the triangle is 84.511 square units.
Step-by-step explanation:
First step, we need to calculate lengths of line segments AB, BC and AC by Pythagorean Theorem:
AB:
[tex]AB = \sqrt{(12-0)^{2}+(3-8)^{2}}[/tex]
[tex]AB = 13[/tex]
BC:
[tex]BC = \sqrt{(7-12)^{2}+(-9-3)^{2}}[/tex]
[tex]BC = 13[/tex]
AC:
[tex]AC = \sqrt{(7-0)^{2}+(-9-8)^{2}}[/tex]
[tex]AC \approx 18.385[/tex]
Now, we can determine the area of the triangle ([tex]A[/tex]) by Heron's formula:
[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)
[tex]s = \frac{AB+BC+AC}{2}[/tex] (2)
Where [tex]s[/tex] is the semiperimeter of the triangle.
If we know that [tex]AB = 13[/tex], [tex]BC = 13[/tex] and [tex]AC \approx 18.385[/tex], then the area of the triangle is:
[tex]s = 22.193[/tex]
[tex]A = 84.511[/tex]
The area of the triangle is 84.511 square units.
answer now please 10 points come earn them
Answer:
B
Step-by-step explanation:
Arkadaşım cevap istiyorsan benim soruma cvp verAnswer:
38
Step-by-step explanation:
sub everything
4(5)-3(2)(-3)=38
Pleaseeee helpppp it’s due in 6 minutes helpp!! Explain
Answer:
I might be wrong but since ur in a rush: 173
Step-by-step explanation:
Answer:
287.25 miles in 5.75 hours
Step-by-step explanation:
so he was first driving at 48mph because 168/3.5=48
5 miles per hour faster than that is 53mph
53*2.25=119.25
then we add 119.25 and 168
A single die is rolled once. Find the probability of rolling a number less than 7.
Answer:
1/6
Step-by-step explanation:
The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.
Which which book did Khaptad swami written?
Step-by-step explanation:
The Science of Thought is the book
an expression to represent ( w increased by 5 )
Answer:
W + 5
Step-by-step explanation:
Given a number, W
An increase in W by a constant 5 ; can be expressed as ;
W plus the constant value increase
Hence,
Increase in W by 5 equals ;
W + 5
half the sum of 8 and r
(14z - 10) and (177 + 4)". Find the measures of the angles.
Answer:
Step-by-step explanation:
A regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square.
From which types of data display can the number of observations in a data set be determined?
A. Dot plot
2. Box plot
3. Histogram
Given a function described as equation y =3x+4 ,what is y when x is 1,2,3
Answer:
When x =1, y = 3(1) + 4 = 7
When x = 2, y = 3(2) + 4 = 10
When x = 3, y = 3(3) + 4 = 13
PLEASE HELP ILL GIVE BRAINLIEST AND 20 POINTS!!!!!
The 8th grade is holding a fundraiser to raise money for an end of the y ear party. They are selling T-shirts and Caps to raise money. They make $15 profit from each T-shirt and $5 profit from each hat. Their goal is to raise $900.
Part A: Write and equation that represent this situation.
Part B: Find 3 combinations of shirts and caps that will achieve their goal of raising $900.
A CORRECT ANSWER WILL HAVE 4 PARTS!
For each t-shirt sold, which I'll call t, 8th grade makes $15.
For each hat sold, which I'll call h, 8th grades makes $5.
They want to raise $900
A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.
B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with
15t+5(0)=900
15t=900
t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900
Now let's say it was the other way around - nobody wanted to buy t-shirts
15(0)=5h=900
5h=900
h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900
Finally let's say they sold 30 t-shirts
15(30)+5h=900
450+5h=900
5h=450
h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900
What is the sum of the measures of the interior angles of a 20-sided figure?
Enter your answer in the box.
__°
The sum of the measures of the interior angles of a 20-sided figure is 3240.
What are Interior angles ?
An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.
the number of sides of given polygon is 20.
we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180
where n= no. of sides of given polygon
So, sum of the measures of the interior angles of 20 sided figure :
= (n-2) × 180
= (20-2) × 180
= 18 × 180
= 3240 .
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Simplify the fraction 84/96.
Answer:
7/8
Step-by-step explanation:
U have to use the highest common factor and the lowest common denominator
Answer:
[tex] \frac{7}{8} = 0.875 [/tex]
Step-by-step explanation:
devide the numerator and denumerator by nine
What is the value of x? Please help asap
Answer:
x=27
Step-by-step explanation:
It’s a ratio:
9.9/11=x/30
cross multiply
11x=297
x=27
What is the length of XA
A. 2
B. 3
C. 4
D. 5
Answer:
B .3 I m not sure about it but I think it's 3
What are the coordinates of B’ if Triangle ABC is reflected over the x-axis?
Answer:
the coordinates of b if it is reflected over the x-axis (-2,5)