Number of coins are 3.
The sample space will be,
\(S=\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,\text{TTT}\rbrace\)The probablity of getting all three heads is,
\(\begin{gathered} P=\frac{1}{8}\times100 \\ =12.5 \end{gathered}\)Thus, the requried probablity is 12.5%.
What is 6x divided by 5x
Answer:
1 1/5 or 1.2
Step-by-step explanation:
6x / 5x the x's cancel and you are left with 6/5 or 1 1/5
What multiplication equation is represented by this picture? Explain.
Answer:
Step-by-step explanation:
Each circle represents : \(\frac{3}{5}\) and 5 circles
5 * \(\frac{3}{5}\)
Answer
Step-by-step explanation:
is Each circle represents : 3/2 and 5 circles
What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
12. The length of a rectangle is 6 meters longer than the width. If the total area of the rectangle is 16m², find the dimensions of the rectangle.
Answer: Let's say that the width of the rectangle is x meters. Then, according to the problem, the length of the rectangle is 6 meters longer than the width, which means that the length is (x + 6) meters.
The formula for the area of a rectangle is:
Area = Length x Width
We are given that the total area of the rectangle is 16m². Substituting the expressions for length and width, we get:
(x + 6) x = 16
Expanding the product and rearranging, we get a quadratic equation:
x² + 6x - 16 = 0
We can solve this equation by factoring or by using the quadratic formula. Factoring, we get:
(x + 8) (x - 2) = 0
This equation is satisfied when either x + 8 = 0 or x - 2 = 0. Therefore, the possible values for the width are x = -8 or x = 2. However, since the width of a rectangle cannot be negative, we reject the solution x = -8.
Therefore, the width of the rectangle is x = 2 meters. The length is 6 meters longer than the width, so the length is (2 + 6) = 8 meters.
Therefore, the dimensions of the rectangle are 2 meters by 8 meters.
Step-by-step explanation:
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
Simplify the following algebralc expressions
1) 4x - 5 - 2x
2) 5x2 – 3x + 7x2 - 4x + 9
3) 2(x + 4) + 3(x – 5) – 2y
4) – 7(x - 1) + 5(2x + 3)
5) 3y – 12 – 1(y + 1)
Answer:
1. 2x - 5
2. 12x² - 7x + 9
3. 5x - 2y - 7
4. 3x + 22
5. 2y - 13
If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
Find the edge length s of the cube.
Volume = 216 in.3
The edge length is
inches.
Answer:
The length for the edge should be 6.
Step-by-step explanation:
Hope this helps
Consider the following equation. 5x+3y=8 Step 1 of 2 : Determine the missing coordinate in the ordered pair (3,?) so that it will satisfy the given equation.
Answer: (3, -2.333) or (3, -7/3)
Step-by-step explanation:
We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.
\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)
Answer:
y= -2 1/3
Step-by-step explanation:
Since you have x, you put x into the equation and work through the problem.
5(3)+3y=8
15+3y=8, then subtract 15 from both sides
3y=(-7), then divide both sides by 3
y=(-7)/3 or (-2 1/3)
Look at this set of 10 numbers:
3 3 5 3 8 7 9 8 9 1
By how much would the median decrease if the number 3 replaced the number 7 in the set?
What is the slope of line A?
A. -4
B. 4
C. -1/4
D. 1/4
Answer:
the answer is d have a great day
Answer:
-1/4
Step-by-step explanation:
Slope formula using two points: y2-y1/x2-x1.
0-1/4-0
-1/4
Evaluate |x - y| + 4 if x = -1, y = 3, and z = -4.
Answer:
8
Step-by-step explanation:
Substitute the values in the expression, we have:
\(\displaystyle{|-1-3|+4}\)
Evaluate:
\(\displaystyle{|-4|+4}\)
Any real numbers in the absolute sign will always be evaluated as positive values. Thus:
\(\displaystyle{|-4|+4 = 4+4}\\\\\displaystyle{=8}\)
Hence, the answer is 8. A quick note that z-value is not used due to lack of z-term in the expression.
A function and its inverse are shown on the same graph.
f(x)
x
6.
Which statement describes the relationship between the
function and its inverse?
O The slope of f¹(x) is the same as the slope of f(x).
The slope of f¹(x) is the opposite as the slope of f(x).
O The x-intercept of f¹(x) is the same as the y-intercep
of f(x).
The x-intercept of f¹(x) is the opposite as the y-
intercept of f(x).
Answer:
(c) The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
Step-by-step explanation:
You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).
Inverse functionThe inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...
f(a) = b
then the graph of f(x) contains the ordered pair (a, b).
The inverse function will have the ordered pair (b, a). That is,
f⁻¹(b) = a
ApplicationIf an ordered pair (x-intercept) of the inverse function is ...
(P, 0)
Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.
The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).
__
Additional comment
The graphs of the two functions are mirror images of each other across the line y=x.
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write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
Working together, two pumps can drain a certain pool in 3 hours. If it takes the older pump 12 hours to drain the pool by
itself, how long will it take the newer pump to drain the pool on its own?
Do not do any rounding.
The more recent pump can clean the pool itself in 4 hours, as per the question we have.
What are a pump and a type?Pumps are primarily classified into two broad categories: 1. Kinetic and dynamic pumps. Fluid passing by or through the impeller of a dynamic pump is given velocity and pressure.
Let's refer to the earlier pump's rate as "p1" and the more recent pump's rate as "p2."
The older pump took 12 hours to drain the swimming pool on its own.
Together, the two pumps' operating time equals 3 p1, or 1/12 of the pool's volume each hour.
And if the pool can be drained by the two pumps over 3 hours, so p1 + p2 equals one-third of a water's volume each hour.
We can solve for p2:
p2 = (1/3) - p1
p2 = (1/3) - (1/12)
p2 = 1/4 of the pool's volume per hour.
So the newer pump can drain the pool by itself in 4 hours.
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Find the distance from the point P to line m in the given figure.
Question 9 options:
A) √17
B) √170
C) √85
D) √34
Answer:
17
Step-by-step explanation:
17 is our answer because you have to graph each answer choice and put it on the graphing calculator and you have to get same slope as the graph that u have.
Then I did that and I got 17 because its the same graph
hope this helps:)
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There are 4 contestants in a beauty pageant. How many results are possible for the first, second, and third place?
Explanation:
There are 4 choices for first place, 3 choices for second place, and 2 choices for third place. Overall, there are 4*3*2 = 24 permutations.
What is the measure of Z ABC ? B 60° 60° c
Answer:
60°
Step-by-step explanation:
If it a equilateral triangle
Function and notaion.
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete solution
Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
What is the solution to the system of equations graphed below?
y=-4x + 33
y=5/3x-1
Answer:
x = 6
y = 9
This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.
Expert Verified Answer (of this same question but with a step-by-step explanation):
This is the link to rocioo's answer. https://brainly.com/question/13675950
The Diameter of the medal is 6cm , thickness is 0,035cm determine the radius of the medal
Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
3) Sandra drove 126 miles in 2 hours at a constant speed. Use a proportion to find how long it
will take her to drive 189 miles at the same speed.
Pls help
||x-5|+2|<=3
Answer:
1,1 + 1oope k1 5l+<=3 is the 109199
Can someone help with this math problem?
Answer:
Hope it will help you a lot.
-7r2 + 7r + 2 = 2
Find Discriminant
Answer:
r = 1 , 0
Step-by-step explanation:
-7\(r^{2}\) + 7r + 2 = 2
-7r(r-1)=2-2
-7r(r-1)=0
r-1=0
r=1
Which number completes the series: 1, 3, 6, 10, 15, ???
Answer:
21
best of luck!
Answer:
21
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
Hope it helps
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eight different names were put into a hat. A name is chosen 124 times and the name fred is chosen 17 times. What is the experimental probability of the name fred being chosen? What is the theoretical probability of the namedred being chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.
The answer of given Theoretical Probability Question is 0.1379 , 0.125
Experimental probability of the name Fred being chosen = number of times Fred is chosen / total number of trials
= 17/124
= 0.1379 (rounded to four decimal places)
Theoretical probability of the name Fred being chosen = number of outcomes in which Fred is chosen / total number of possible outcomes
Since there are eight different names in the hat, the total number of possible outcomes is 8. The number of outcomes in which Fred is chosen is 1 (since there is only one Fred in the hat).
Therefore, the theoretical probability of Fred being chosen is:
1/8 = 0.125 (rounded to three decimal places)
If the number of names in the hat were different, both the experimental and theoretical probabilities would change.
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the length and breadth of a room are in the ratio of 3 :2 find the length of breadth if 8.6 meters
Answer:
7.33
Step-by-step explanation:
l/b=3/2
8.6/b=3/2
3b=8.6*2
b=17.2/3
b=7.33