you have a 1/6 probability of rolling a 6
so for 3 6's it would be
1/6 x 1/6 x 1/6 = 1/216
The cost of a long-distance phone call is $0.46 for the first minute and $0.37 for each additional minute. if the total charge for a long-distance call is $6.75, how many minutes was the call?
1st minute = 0.46
additional minutes = 0.37
6.75 -0.46 = 6.29
6.29/0.37 =17
17 +1 = 18 total minutes
What is the area of the triangle given below?
Answer:
26 sq. units
Step-by-step explanation:
a-p-e-x
The area of the triangle is 26 sq.unit, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.
The triangle is shown in the figure has side 13 and height 4 units.
The area of the triangle whose base and height is given is calculated by using the formula:
Area = (1/2) * base * height
Substituting the value in the formula.
Area = (1/2) * 13 *4
Area = 13 * 2
Area = 26 sq.unit
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simplify (2 (radical 5) - 4) (3 (radical 5) +2)
What is the solution to the system of linear equations?
The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).
Linear equation represents a line on the graph. The system of linear equations represents couple/s of linear equations or lines.
The solution of system of linear equations means the common point satisfying the different linear equations.
Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.
So, the point of intersection from the given graph is (0,2).
Therefore, the solution of linear equations given in the graph is (0,2).
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The cost of a service call to fix a washing machine can be expressed by the linear function y = 45x + 35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?
the cost for each hour it takes to repair the machine
the cost for coming to look at the machine
the total cost for fixing the washing machine
the amount of time that it takes to arrive at the home to make the repairs
Answer:
A
Step-by-step explanation:
What is the approximate measure of acute ∠A when cosA=0.1045cosA=0.1045? Make sure your calculator is in degree mode. Round to the nearest degree.
To find the acute angle A when cosA=0.1045, use a calculator in degree mode to perform the inverse cosine operation and round the result to the nearest degree, which is approximately 84 degrees.
Explanation:To find the measure of acute ">∠A when cosA=0.1045, we use the inverse cosine function (also known as arccos or cos-1). Make sure your calculator is in degree mode. The approximate measure of acute ∠A can be calculated as follows:
Enter the value 0.1045 into the calculator.Press the inverse cosine button (often labeled as cos-1, acos, or similar) to find the angle whose cosine is 0.1045.Round the result to the nearest degree.Using a calculator set to degree mode, the result for cos-1(0.1045) should be approximately 84 degrees, when rounded to the nearest whole degree.
Segment TR is a mid-segment of triangle ABC. What is the length of segment RC?
A) 5 inches
B) 6 inches
C) 8 inches
D) 10 inches
Suppose $x$,$y$, and $z$ form a geometric sequence. if you know that $x+y+z=18$ and $x^2+y^2+z^2=612$, find the value of $y$.
We use the information that $x$, $y$, and $z$ forms a geometric sequence, and that $x + y + z = 18$ and $x^2 + y^2 + z^2 = 612$ to set up two equations in terms of $y$. These can be solved simultaneously to get the value of $y$.
Explanation:The problem involves a geometric sequence and two simultaneous equations in mathematics. Given $x$, $y$, and $z$ are in a geometric sequence, then they can be represented as $x=y/r$, $y=y$, $z=yr$, where $r$ is the common ratio. This sequence gives us the first equation, $ x + y + z = 18 $.
We have another given equation which is $ x^2 + y^2 + z^2 = 612 $. Substituting $x$, $y$ and $z$ with the terms of the geometric sequence in the second equation, we have $y^2(1/r^2+1+r^2)=612$. Now we have two equations: $ y(1/r+1+r)=18 $ and $ y^2(1/r^2+1+r^2)=612 $, which we can solve simultaneously to find the value of $ y $.
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A jet flies at a rate of 1.3 x 10^ 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in 2.8 x 10^ 3 hours?
What are the coordinates of the center of the circle whose equation is x^2+y^2-16x+6y+53=0?
The average weight of 5 students is 150.4 pounds. if no student weighs less than 130 pounds and if no two students' weights are within 5 pounds of each other, what is the most, in pounds, that any one of the students can weight
If a price is 70$ and the price is now 56$ what is the percent decrease
70-56 = 14
14/70 = 0.2
0.2 = 20%
the answer to the triangle the hexagon and the Diamond
A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.
Answer:
16.22%
Step-by-step explanation:
A basket contains six apples and five peaches.
Total fruits in the basket = 6 + 5 = 11
The probability of selecting a piece of fruit is an apple [tex]P_{1}=\frac{6}{11}[/tex]
Now return it to the basket and select a fruit. so all events are independent.
Therefore, the probability of each time selecting an apple is same.
Probability=[tex]P_{1}\times P_{2}\times P_{3}[/tex]
P =[tex]\frac{6}{11}[/tex]× [tex]\frac{6}{11}[/tex]×[tex]\frac{6}{11}[/tex]
=[tex]\frac{216}{1331}[/tex] = 16.22%
The probability of all three times the fruit is an apple is 16.22%
What value of x is the solution of the equation 1/7+2x/3 = 15x-3/21?
A. 6
B. 0
C. 4/13
D. 6/29
Answer:A=6
Step-by-step explanation:
PLEASE HELP!!! IMAGE ATTACHED FIND THE VALUE OF X
John intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is a prime number?
Each roll has a 0.117 probability of being prime.
Each roll has a 0.333 probability of being prime.
Each roll has a 0.5 probability of being prime.
Each roll has a 0.667 probability of being prime.
2 , 3 and 5 are the prime numbers on a cube
so 3/6 = 0.5 probability
Answer:
0.5 sorry for same answer just want points T-T
Step-by-step explanation:
Find all complex solutions of x^2-3x+4=0.
(If there is more than one solution, separate them with commas.)
Final answer:
Complex solutions of a quadratic equation are found using the quadratic formula. The solutions to x²-3x+4=0 are complex numbers.
Explanation:
The solutions to the equation x²-3x+4=0 are complex numbers.
To find the complex solutions, we can use the quadratic formula where a=1, b=-3, and c=4. Plugging these values into the formula, we get:
x = (3 ± √(-7))/2
Therefore, the complex solutions are x = (3 ± i√7)/2.
What is the solution to this system of linear equations?
x − 3y = −2
x + 3y = 16
Answer:
the correct answer is A 7,3
Step-by-step explanation:
hope this helps
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
Select all that apply.
1 (0,0)
2 (9.2, 1.5)
3 (9.6, 3.5)
4 (5.3, 9.8)
5 (3.5, 9.6)
Final answer:
To approximate solutions for the system of equations, enter them into graphing technology, look for intersection points, and match them to the provided coordinates, rounding to the nearest tenth.
Explanation:
To approximate the solution(s) to the system of equations using technology, such as a graphing calculator or graphing software, you typically enter the equations into the device or program and view their intersection points. These intersection points represent the solutions to the system of equations. To get an accurate approximation to the nearest tenth of a unit, you may zoom in on the graph to clearly see where the lines intersect or use the device's built-in features to find the intersection.
You would then compare the given coordinates to the intersection points you found graphically and select the ones that match:
(0,0)
(9.2, 1.5)
(9.6, 3.5)
(5.3, 9.8)
(3.5, 9.6)
Remember to round your values to the nearest tenth as required and to quickly check if these values make sense in the context of the original problem.
A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.
a.Write an inequality to represent the height restriction.
b.Using complete sentences, describe how to graph your inequality on a number line.
An item sells for 2 for 66 cents. What would 5 items sell for?
Answer:
5 items sells for 165 cents
Step-by-step explanation:
An item sells for 2 for 66 cents
2 items cost 66 cents
1 item cost 66 divide by 2 is 33 cents
So 1 item cost 33 cents
WE need to find the cost of 5 items
1 item cost 33 cents
so 5 item costs [tex]5 \cdot 33= 165[/tex]
The cost of 5 items = 165 cents
suppose you randomly choose an integer n between 1 to 5, and then draw a circle with a radius of n centimetres. What is the expected area of this circle to the nearest hundredths of a square centimetres?
To find the expected area of a circle when randomly selecting an integer n between 1 to 5 as the radius, calculate the area of each possible circle and find the average. The expected area, rounded to the hundredths, is approximately 34.54 cm².
Explanation:When you randomly choose an integer n between 1 to 5, and then draw a circle with a radius of n centimetres, the expected area is calculated by taking the average of the areas for all possible radii.
The area of a circle is given by the formula A = πr². Since the integer n can be 1, 2, 3, 4, or 5, we calculate the area for each of these radii and then find the average.
For n=1: A = π(1)² = π cm²For n=2: A = π(2)² = 4π cm²For n=3: A = π(3)² = 9π cm²For n=4: A = π(4)² = 16π cm²For n=5: A = π(5)² = 25π cm²Add all the areas and divide by the number of possible radii:
Expected Area = (π + 4π + 9π + 16π + 25π) / 5
Expected Area = (55π) / 5
Expected Area = 11π cm²
Now, use the value of π up to two decimal places (3.14) to get the expected area in hundredths of a square centimetre:
Expected Area ≈ 11 × 3.14 cm²
Expected Area ≈ 34.54 cm²
The expected area of the circle, to the nearest hundredths of a square centimetre, is approximately 34.54 cm².
A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student. Determine a linear function that models the cost, c, and the number of students, s. Which statements about the linear function and its graph are correct? Check all that apply.
A. The linear model is f(s) = 4.5s + 50.
B The linear model is f(c) = 54.5c + 24.
C.The domain is {x| 0 ≤ x ≤ 24}.
D.The range is {y| 50 ≤ y ≤ 158}.
E.The graph is continuous.
When combining functions, what operation requires that you restrict the domain of one or both functions?
how to calculate the volume of a equilateral triangular prism
Answer:
I believe the answer would be "Multiply the area of the triangular base by the prism’s height." i'm not sure tho
Step-by-step explanation:
you can correct me if im wrong
Two dice are rolled. if the total showing is odd, you pay your friend $8. otherwise, your friend pays you $4. what is the (expected) value of the game to you?
Which coordinates will best represent point B'?
1/4 is to 1 1/4 as 2 is to b
what is b equal to?
1 1/4 is 5 times larger than 1 /4
so b is 5 times larger than 2
5*2 =10
so 1/4 is to 1 1/4 as 2 is to 10
b=10
A gutter at the edge of a roof drops 2 inches for every 30 feet of length. The measure of the angle to the nearest tenth of a degree that the gutter makes with the roof is ____ degrees. (Enter only the number.)