The possible outcomes in the experiment are {H1, H2, T1, T2}
How to determine all the possible outcomes?From the question, we have the following parameters that can be used in our computation:
Coin = H and T
Spinner = 1 and 2
The possible outcomes in the experiment are calculated by taking each outcome in the coin and the spinner
using the above as a guide, we have the following:
Outcomes = {H1, H2, T1, T2}
Hence, the possible outcomes are {H1, H2, T1, T2}
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Which summation formula is equivalent to the one below?
^3Σn=0 (-1/5)^n (25)
Answer:
It's A
Step-by-step explanation:
Because it's A
Answer:
A
Step-by-step explanation:
3 ∑ n=0 (-1/5)^n x 25 = 104/5
option A also = that so A
5 cm
6 cm
13 cm
Help me find the area of this please
The area should be 47.5 CM.
Answer:
Step-by-step explanation:
The figure you see here is a trapezoid.
Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm
name the quadrilateral with 2 pairs of consecutive congruent sides with diagonals that meet at a right angle
The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.
please help!!!!!!
Matthew took a cab home from his office. The cab charged a flat fee of $4, plus $2 per mile. Matthew paid $34 for the trip Write an equation to show the number of miles Matthew drove
Answer:
(34-4)/2
Step-by-step explanation:
First you would subtract the flat fee of 4 dollars from the total ($34) which would give you 30 then you divide 30 by the rate or dollars per mile (2) which would leave you with 15 so he drove 15 miles and if you were to writ this as an equation (as shown above) it would look like this (34-4)/2 where you first subtract (hence the parentheses) then you would divide (hence the / ). I hope you found this helpful :D
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
A science teacher is planning a field trip to either the aquarium or science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Write a system of two equations where each equation models the total cost y to take x students on each field trip enter one equation per answer box
\(\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}\)
Let the no. of students be x
total cost = y
Then the first equation will be
8x + 20 = y
And the second equation will be
3x + 40 = y
A system of two equations where each equation models the total cost y to take x students on each field trip is;
8x + 20 = y
3x + 40 = y
The total cost y is 48 to take x = 4 students on each field trip.
What is the system of equations?In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.
A science teacher is planning a field trip to either the aquarium or the science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Let the total cost y to take x students on each field trip.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
8x + 20 = y
The science center charges $3 per student and has a class lab fee of $40.
3x + 40 = y
On solving both the equation
Substitute the value of y in the equation 2
3x + 40 = y
3x + 40 = 8x+20
8x - 3x = 40-20
5x = 20
x = 20/5
x = 4
Substitute the value of x in the equation 1
3x + 40 = y
2(4) + 40 =y
8 + 40 = y
y = 48
Hence, the total cost y is 48 to take x = 4 students on each field trip.
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A total of $48,000 is invested in two municipal bonds that pay 4.25% and 5.75% simple interest. The investor wants an annual interest income of $2400 from the investments. What amount should be invested in the 4.25% bond
solve the following equations for g:2(g-h)=b+4
Answer:
g=b+4+2h/2
explanation:
first expand the brackets
let g be the subject of the equation
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)
The sum of digits of a two-digit number is 9. If the digits are reversed, the number is increased by 63. Find the number.
(a) 18
(b) 27
(C) 36
(d) 72
With the sum of digits of a two-digit number is 9. If the digits are reversed, the number is increased by 63. The number is 18. So, the correct option is A.
Let the two-digit number be represented by 10x + y, where x is the tens digit and y is the ones digit. We are told that x + y = 9 and that if the digits are reversed, the number is increased by 63.
If we reverse the digits of the original number, we get 10y + x. The difference between this number and the original number is 63, so we can set up the equation:
10y + x - (10x + y) = 63
Simplifying this equation, we get:
9y - 9x = 63
Dividing both sides by 9, we get:
y - x = 7
Now we have two equations: x + y = 9 and y - x = 7. We can solve this system of equations by adding the two equations:
2y = 16
y = 8
Substituting y = 8 into x + y = 9, we get:
x + 8 = 9
x = 1
Therefore, the original number is 10x + y = 10(1) + 8 = 18. So the answer is (a) 18.
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N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Answer:
Step-by-step explanation:
Question
N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please
Write this number in scientific notation 38200000
Look at attachment down below
Answer:
3.82 × 107
Step-by-step explanation:
Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.
Count how many places you moved the decimal point. This number is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."
Remove trailing 0's only if they were originally to the left of the decimal point.
Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
What is the solution of this system of equations?
x + 3y = 7
3x + 2y = 0
Answer:
X=-2, y=3
Step-by-step explanation:
The perimeter of the rectangle below is 76 units. Find the value of y.
The solution is : the value of y is 7.
Here, we have,
The perimeter of a rectangle is found by
P = 2 (l+w)
P = 2( 3y+3+2y)
Combine like terms
P = 2(5y+3)
We know the perimeter is 76
76 = 2(5y+3)
Divide each side by 2
76/2 = 2/2(5y+3)
38 = 5y+3
Subtract 3 from each side
38-3 = 5y+3-3
35 = 5y
Divide each side by 5
35/5 = 5y/5
7 =y
We want the length of AD = BC = 2y
AD = 2y=2*y = 14
Hence, The solution is : the value of y is 7.
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2/ 2 2/3 = 3/N solve for N
when i put this in my calculator it says unable to solve
Answer:
n = 9 / 2 or 4.5
Step-by-step explanation:
2/3 = 3/N
cross multiply
2 x n = 2n
3 x 3 = 9
2n = 9
divided both sides by 2
2n / 2 = 9 / 2
n = 9 / 2
You owe $2,264 on a credit card at a 14.7% APR. You pay $500.00 month. How many months does it take to pay off your balance?
Answer: 5.5 months
Explanation:
To calculate the number of months it will take to pay off your credit card balance, we can use the formula for the time it takes to pay off a balance with fixed monthly payments:
n = -log(1 - (r * b) / p) / log(1 + r)
where:n is the number of months it will take to pay off the balancer is the monthly interest rate (which is the annual percentage rate divided by 12)b is the balance owedp is the fixed monthly paymentFirst, let's calculate the monthly interest rate r:
r = 0.147 / 12 = 0.01225
Next, we can substitute the values into the formula:
n = -log(1 - (0.01225 * 2264) / 500) / log(1 + 0.01225)
Using a calculator, we can simplify this to:
n = 5.5 months
If the spinner does not land on yellow, what is the probability it will land on blue?
1/6
3/8
1/4
1/8
3/8. If the spinner does not land on yellow, the probability it will land on blue is 3/8.
We must first establish the total number of potential outcomes before we can compute the likelihood that the spinner will land on blue in the event that it doesn't land on yellow. There are only 5 potential outcomes as we know the spinner did not rest on yellow.
Two of those five probability are blue. Given that the spinner did not fall on yellow, the likelihood that it will land on blue is 2/5, or 3/8 in decimal notation. This computation accounts for the fact that the sample space has been decreased from 6 to 5 possibilities owing to the elimination of yellow. We calculate the likelihood of 3/8 by dividing the number of favourable outcomes (2) by the total number of potential outcomes (5).
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What is the area in square feet of the lawn ?
Given:
Find-:
Area of shape
Explanation-:
The area of a rectangle is:
\(\text{ Area }=\text{ Length }\times\text{ Width}\)The shape is:
For the first region:
\(\begin{gathered} \text{ Length }=80 \\ \\ \text{ Width }=40 \end{gathered}\)The area of the first region is:
\(\begin{gathered} \text{ Area }=\text{ Length}\times\text{ Width} \\ \\ =80\times40 \\ \\ =3200\text{ ft}^2 \end{gathered}\)The area of the second region is:
\(\begin{gathered} \text{ Length }=80-60 \\ \\ \text{ Length }=20 \\ \\ \text{ Width }=60 \end{gathered}\)The area of the second region is:
\(\begin{gathered} \text{ Area }=\text{ Length}\times\text{ Width} \\ \\ \text{ Area }=20\times60 \\ \\ \text{ Area }=1200\text{ ft}^2 \end{gathered}\)The total area of the lawn is:
\(\begin{gathered} \text{ Area }=3200\text{ ft}^2+1200\text{ ft}^2 \\ \\ \text{ Area }=4400\text{ ft}^2 \end{gathered}\)The area of lawn is 4400 ft²
The concept of best-, worst-, and average-case analyses extends beyond algorithms to other counting problems in mathematics. Recall that the height of a binary tree is the number of edges in the longest path from the root to a leaf. Find the best-case height of a binary tree with seven nodes.
the height of a binary tree is the number of edges in the longest path from the root to a leaf.The best-case height of a binary tree with seven nodes is 3.
A binary tree is a type of tree structure consisting of nodes that are connected by edges. The number of edges in the longest path from a binary tree's root to a leaf determines the tree's height.In the best-case scenario, the binary tree is perfectly balanced and each node has exactly two children. With seven nodes, the best-case height is three because each node has two children and three edges connect the root node to the leaves. This means that the longest path from the root to a leaf is three edges, resulting in a height of three.
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fair market value rent rate 630 in 2013 and 551 and in 2003 find the rate of change during the time
The goal here is to find the slope, so we have to use the slope formula.
Slope formula: Change in y's/ Change in x's
Your "Y" in this scenario would be the years and the "X" would be the cost in a certian year.
So, 2013 - 2003 / 630 - 551 = 10 / 79 = .79
$0.79 per year increase.
Write an equation in standard form for the line that passes through the given points.
(2, 7) and (−5, 2)
nothing but the answer and explanation
Answer:
7y = 5x + 39
Step-by-step explanation:
x1 = 2, y1 = 7, x2 = –5, y2 = 2
m = y2 – y1 / x2 – x1
m = 2 – 7/ –5 – 2
m = –5 / –7
m = 5/7
(2,7)
y – y1 = m(x – x1)
y – 7 = 5/7(x – 2)
y – 7 = 5x/7 – 10/7
multiply both sides by 7
7y – 49 = 5x – 10
7y = 5x – 10 + 49
7y = 5x + 39
pls rate as brainliest if i deserve it
PLEASE ANSWER!!!!!!!!!
Answer:
1/15
Step-by-step explanation:
no. of students who participate in all of the three activities is 2.
So, the possibility is 2/15 = 1/15
Ans: 1/15
Whose statement is correct based on the expected value?
Step-by-step explanation:
only Hadley. and even that is not fully correct.
the expected value here gives us the overall most likely outcome of the scenario when throwing 2 balls.
and not ball by ball. and not directly a probability.
like rolling a die : the expected value of rolling a 6 in 6 attempts is 1 due to the individual roll probability of 1/6.
but the probabilty is NOT 1 or 100% (a guaranteed 6 in 6 attempts).
and that brings me to my concern with Hadley's statement. it says with conviction "the player will make ...". no, only "... will likely make ..." or "... on average".
Answer:
Step-by-step explanation:
neither statement is correct. right answer on khan
According to a survey, approximately 64% of people in the United States think that the nation's water supply is safe to drink. A town has 625 people. What is the probability that 376 or more people think that the nation's water supply is safe to drink? A. 0.50 B. 0.975 C. 0.16 D. 0.84
what is the value of the expression when a = 18 and b = 14
1/2 (18 + 14) - (18-14)
A 32
B 12
C 8
D 0
Answer:
Ans is 12
Step-by-step explanation:
Given
a=18 and b=14
1/2(18+14)-(18-14)
0.5×32-4
16-4
12 Ans
Help me pleaseeeeee!
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
In algebra, what is a rectangle?A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.
Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn
check the attachment given belοw tο understand.
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A 22-ft ladder leans against a building so that the angle between the ground and the ladder is 64°. How high does the ladder reach on the building?
The height of the ladder on the building is 19.77 feet
How high does the ladder reach on the building?Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
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1. Which is the product of 4/15 and 20
Answer: 5.3
Step-by-step explanation: (4/15)x20=5.3
Answer: 6/13
Step-by-step explanation:
Let the equation be represented as ANow , the value of A is Let the first number be p = 4 / 15Let the second number be q = 20And , A = p x qSubstituting the values in the equation , we getA = ( 4/15 ) x 20On simplifying the equation , we getA = ( 4/3 ) x 4A = 16/3
Find Tan a and 10 B. Right each answer as a fraction and as I get decimal rounded to the nearest 10th.
Answer:
\(tanA=\frac{12}{20}\\\\tanB=\frac{20}{12}\)
Step-by-step explanation:
\(tan(theta)=\frac{Opp}{Adj}\)
Unless you want to solve for A and B plug that into inverse calculator.
A = tan^-1 ( 12/20 ) = 31°
A = 31.0°
B = tan^-1 ( 20/12 ) = 59.0°
B = 59.0°