Final answer:
The probability of picking a bronze medal is found by subtracting the probabilities of picking a gold and a silver medal from 1. As the probability of picking gold is 5/12 and silver is 1/3 (or 4/12), the probability of picking bronze is 1 - (5/12 + 4/12) = 1/4 or 0.25.
Explanation:
The probability of picking each type of medal from the sack adds up to 1 since one of the medals must be picked. Given the probability of picking a gold medal is 5/12 and the probability of picking a silver medal is 1/3, we can calculate the probability of picking a bronze medal by subtracting the probabilities of picking a gold or silver medal from 1.
First, let's find a common denominator for 5/12 and 1/3, which is 12. The probability of picking a silver medal expressed with the denominator 12 is 4/12 (since 1/3 equals 4/12).
Now, we add the probabilities of picking a gold or silver medal: 5/12 + 4/12 = 9/12.
Finally, we subtract this sum from 1 to find the probability of picking a bronze medal:
1 - 9/12 = 3/12, which simplifies to 1/4.
Therefore, the probability of picking a bronze medal is 1/4, or 0.25 when expressed as a number between 0 and 1.
Solve and check x / 6 equals 12 / 9
x/6 = 12/9
x = 12/9 * 6
x = 8
check:
8/6 = 1.3333
12/9 = 1.3333
1/2(4x−5)+52=10
x=
A:5
B:8
C:12
D:20
3/4k+3/8k=12
k=
1.4x+2.6x=−16
X=-13
X=-4
X=-48
X=19
1/3(3+2x)−1=10
A:x= 6 2/3
B:x=15
C:x=20
D:x=5
Tom drove 130 Miles at the speed of 65 mph, and then 200 more miles at the speed of 30 mph. What was his average speed for the entire trip?
The average speed for the entire trip is 38.06 mph
What is Average Speed?
The total distance traveled divided by the total time spent traveling. This will give you your average speed.
S = d₁ + d₂ ... + dₙ / t₁ + t₂... + tₙ
Given data ,
d₁ = 130 miles
d₂ = 200 miles
S₁ = 65 mph
S₂ = 30 mph
t₁ = d₁ / S₁
t₂ = d₂ / S₂
And , t₁ = 130 / 65 = 2 hours
t₂ = 200 / 30 = 6.67 hours
Therefore , Average Speed = Total distance travelled / Total time taken
=d₁ + d₂ / t₁ + t₂
= 330 / 8.67 mph
= 38.06 mph
Hence , the average speed for the entire trip is 38.06 mph
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Find the value of x. Then the measure of each angle
explain why the gcf of two numbers is sometimes 1
Answer:
The number 1 is common factor between any set of numbers, but, sometimes is the only common factor.
Step-by-step explanation:
This happens when the numbers do not have common prime factors, like 5 and 7.
Since 1 is a prime number, you can consider it the common primer factor of every set of numbers.
Remember:
If 'a' is a number, a prime factor of it would be 1, since a*1=a
Write your own story problem using mixed numbers that need to be scaled up. The problem should
have at least five mixed numbers that will be scaled up. Be sure to show all your work, explain your
steps in your solution (including changing improper fractions to mixed numbers), and write a complete
answer to your problem. Your answer should include units for the mixed numbers, if needed.
I do not understand the question, I cannot conduct a problem can somebody just give a mixed number problem or whatever and I will calculate it on my own. I am not asking you to do my work just to give me an example of what my teacher wants.
Thanks
How can you show 198.000 as a power of using an exponents
A square rug has an area 100 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
The rug has side length______ft.
The side length of the square rug is 10 feet and it is a rational number since it can be written as a ratio of two integers.
Explanation:The area of a square is computed by squaring the length of one of its sides. The area of the rug is given as 100 square feet. Therefore, we can set up the following equation to find the side length:
S^2 = 100
Where 'S' represents the side length. To solve for 'S', we take the square root of both sides of the equation.
Therefore, S = √100
The square root of 100 is 10, so the side length of the rug is 10 feet.
Therefore, the rug has a side length of 10 ft. Since '10' can be expressed as a ratio of two integers, it is a rational number.
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1.3(8-b)+3.7b=-5.2
Solve the equation
The ratio of the side length of Square AA to the side length of Square BB is 4:94:9. The side length of Square AA is 1212 yards. What is the perimeter of Square BB?
What is the greatest common factor of 49 and 84?
Need help solving this problem
you want to model the speed of a motorcycle which unit would be appropriate for measuring the quantity
The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?
The angles in transverse parallel lines are related through some theorems such as vertical angles, corresponding angles, etc. the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
Given the attached diagram
First, we solve for x using the corresponding angle theorem
[tex]5x + 55 = 2x + 100[/tex] ---- corresponding angles are equal
Collect like terms
[tex]5x - 2x = 100 - 55[/tex]
[tex]3x = 45[/tex]
Divide both sides by 3
[tex]x = 15[/tex]
We then solve for [tex]\angle 2[/tex] using the straight line theorem
[tex]\angle 2 + 5x + 55 = 180[/tex] ---- sum of angles on a straight line
Substitute 15 for x
[tex]\angle 2 + 5 \times 15 + 55 = 180[/tex]
[tex]\angle 2 + 75 + 55 = 180[/tex]
Collect like terms
[tex]\angle 2 =- 75 - 55 + 180[/tex]
[tex]\angle 2 =50[/tex]
Hence, the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
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A pizza bot travels at an average rate of 4 mph it is sent on a delivery toy house 1.5 miles away how long will it take the bot to make the delivery every time back to the restaurant
The pizza bot will take approximately 22.5 minutes to make the delivery and return to the restaurant.
Explanation:To calculate the time it will take the pizza bot to make the delivery and return to the restaurant, we can use the formula:
Time = Distance / Speed
In this case, the distance is 1.5 miles (one way), and the speed is 4 mph. So, the time it will take for the pizza bot to make the delivery and return to the restaurant is:
Therefore, it will take the pizza bot approximately 0.375 hours, or 22.5 minutes, to make the delivery and return to the restaurant each time.
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Write a real world problem that could be solved by using the equation 3x-25= 125. Then solve the equation
Answer:
There can be many example for this equation like:
1. There are three friends and all have the same amount of money. Together they give $25 in a restaurant and they are left with $125. How much money did each have?
We can solve this like:
Let each friend had 'x' money so three friends had 3x money.
They gave out $25, means 3x-25 and are left with $125.
So, complete equation becomes :
[tex]3x-25=125[/tex]
Solving for x we get;
[tex]3x=125+25[/tex]
[tex]3x=150[/tex]
x = 50
So, each friend had $50.
The graph shows the cost for cherries and apples.
Which statement is true about the unit costs shown in the graph?
The unit cost for cherries is greater because the slope is greater than the slope for apples.
The unit cost for cherries is greater because the slope is less than the slope for apples.
The unit cost for apples is greater because the slope is greater than the slope for cherries.
The unit cost for apples is greater because the slope is less than the slope for cherries.
Answer:
The unit cost for cherries is greater because the slope is greater than the slope for apples.
Explanation:
Slope is the rate of change of a line. The slope of the graph for cherries is greater; we can see this because the line is steeper.
Since the slope is greater, the unit cost is greater.
The statement that represents the unit cost in the graph is that the unit cost for cherries should be more as the slope is more than the slope for apples.
The following information should be considered:
Slope refers to the changing in the rate with respect to the line.Also, the graph slope for cherries should be more as there is a steeper line as compared with the apple one.Also, if the slope is more, so the units cost should be more that means there is a direct relationship between each other
Therefore we can conclude that the first option is correct.
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How does the product 110 x n compare to the product 11 x n?
a number increased by seven
What is the rational number equivalent to 3.24 repeating?
A. 3 6/97
B. 3 28/99
C. 3 8/33
D. 3 10/32
Answer:
C
Step-by-step explanation:
Took the test got it right
Is 13/16 rational or irrational
The number 13/16 is a rational number because it can be expressed as a ratio of two integers.
Explanation:The number 13/16 is a rational number. A rational number is any number that can be expressed as a ratio of two integers, where the denominator (the number below the division line) is not zero. In this case, the number 13/16 can be expressed as a ratio of two integers: 13 and 16. Therefore, 13/16 is considered to be a rational number, not an irrational number. In contrast, an irrational number cannot be stated as a ratio of two integers. Examples of irrational numbers include the square root of two and pi.
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What number has the value as 50 tens
Betty's height is 2/3 of Jinlan's height. Find the ratio of Betty's height to Jinlan's height.
Is this function or non function
Find k such that the equation kx^2+x+25k=0 has a repeated solution.
Final answer:
The value of k for the equation kx^2 + x + 25k = 0 to have a repeated solution can be found by setting the discriminant to zero. Solving for k, we find that k = 0.1 and k = -0.1 are the values that yield a repeated solution for this quadratic equation.
Explanation:
To find the value of k such that the equation kx^2 + x + 25k = 0 has a repeated solution, we need to use the discriminant of a quadratic equation. The discriminant D is given by D = b^2 - 4ac. For a quadratic equation to have a repeated solution, its discriminant must be zero (D = 0). In this equation, a = k, b = 1, and c = 25k. Plugging these values into the discriminant formula gives us:
D = 1^2 - 4(k)(25k)
Setting D to zero and solving for k will give us the value(s) of k for which the equation has a repeated solution:
0 = 1 - 100k^2
k = ± 0.1
Therefore, there are two values of k that make the original equation have a repeated solution: k = 0.1 and k = -0.1.
How many positive 4-digit integers have only odd digits?
Answer:
[tex]5^4 = 625[/tex]
Step-by-step explanation:
There are 5 possible odd digits to choose from: 1,3,5,7,9.
When we chose our first digit, we have 5 choices (the possible odd digits). For every one of those 5 choices, we can chose our second digit in 5 different ways again, then we have 5*5 = 25 ways for choosing our first two digits. We can do the same again, as for every one of the 25 first two digits, we can chose our third digit in 5 different ways (again, the odd numbers). So we multiply it by 5 again. Repeating this one more time, because we have 5 different ways to chose our fourth digit. At the end we will have
[tex]5*5*5*5 = 5^4 = 625[/tex]
This is a commun counting technique.
what is the slope of the line whose equation is 4y-6x+16=0
6 men can complete a job in 20 days.if the men work at the same rate.how many more are needed to complete the job in 12 days
Density is equal to mass divided by volume. The mass of a metal is 10.34 g. Its volume is 1.83 ml. Calculate its density. Use the proper number of significant figures.
Answer: 5.65 g/ml
Step-by-step explanation:
The density of a substance is given by :-
[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]
Given : The mass of a metal is 10.34 g. Its volume is 1.83 ml.
Then, the density of substance will be :-
[tex]\text{Density}=\dfrac{10.34\ g}{1.83\ ml}\\\\\Rightarrow\ \text{Density}= 5.65027322404\ g/ml[/tex]
Since , the significant figures depend on the dividend .
Here the dividend (10.34) is hundredth unit.
Then, the [tex]\text{Density}== 5.65027322404\approx5.65\ g/ml[/tex]
The diameter of the moon is about 3,476 kilometers. The distance from Earth to the moon is about 384,400 kilometers.About how many moons could be lined up in a row between Earth and the moon? Round to the nearest whole number.
Answer: About 111 of moons could be lined up in a row between Earth and the moon .
Step-by-step explanation:
Given : The diameter of the moon is about 3,476 kilometers.
The distance from Earth to the moon is about 384,400 kilometers.
Then , the number of moons could be lined up in a row between Earth and the moon will be :-
[tex]384,400\div3,476\\\\=110.586881473\approx111\text{ Rounded to the nearest whole number }[/tex]
Hence, about 111 of moons could be lined up in a row between Earth and the moon .