Four friends at a party popped 3/4 of a bag of popcorn. They ate half of what was popped what fraction of the popcorn bag did they eat
The greatest common factor of 24 and 36 is the least common multiple of a pair of numbers. Which two numbers could they be?
What are the x-intercept and the y-intercept of the graph of y=14x+8 ? Enter your answers in the boxes. x-intercept: y-intercept:
A fair coin is flipped 100 times and the results are recorded in the table below.
Which statement is correct?
A) The theoretical probability of the coin landing on heads is 7/20.
B) The experimental probability of the coin landing on tails is 1/2.
C) The theoretical probability of the coin landing on tails is 1/2.
D) The experimental probability of the coin landing on heads is 13/20.
Option C) is the correct statement as the Theoretical Probability of the coin landing on tails is 1/2
What do we mean by theoretical probability?Theoretical probability is the ratio of favorable outcomes to the total number of outcomes.
What do we mean by experimental probability?Experimental probability or empirical probability is based on a particular experiment using the same formula.
How do we determine probabilities by the question?Experimental probability of getting heads
= Frequency of heads/Total observations
= 35/100 = 7/20
Experimental probability of getting tails
= Frequency of tails/Total observations
= 65/100 = 13/20
The theoretical probability of getting a heads
= Favorable outcomes of getting heads/Total possible outcomes
= 1/2
The theoretical probability of getting a tails
= Favorable outcomes of getting tails/Total possible outcomes
= 1/2
When we cross-check with the options,
A) Incorrect, as the Theoretical Probability of the coin landing on heads = 1/2
B) Incorrect, as the Experimental Probability of the coin landing on tails = 13/20
C) Correct, as the Theoretical Probability of the coin landing on tails = 1/2
D) Incorrect, as the Experimental Probability of the coin landing on heads = 7/20
Learn more about the Theoretical and Experimental Probability at
https://brainly.com/question/8652467
#SPJ2
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How much of each metal is needed to make 3.6 kg of this alloy?
Answer
Find out the how much of each metal is needed to make 3.6 kg of this alloy .
To proof
As given
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9 .
This shows that an alloy contains 18 parts and assume one part of alloy be u .
Thus
An alloy consists of nickel = 2u
An alloy consists of zinc = 7u
An alloy consists of copper = 9u
As given
Total weight of alloy = 3.6 kg
Thus equation becomes
2u + 7u + 9u = 3.6
18u = 3.6
[tex]u = \frac{3.6}{18}[/tex]
u = 0.2 kg
An alloy consists of nickel = 2 × 0.2
= 0.4 kg
An alloy consists of zinc = 7 × 0.2
= 1.4 kg
An alloy consists of copper = 9 × 0.2
= 1.8 kg
Hence proved
To make 3.6 kg of alloy in the given ratio, 400 grams of nickel, 1400 grams of zinc and 1800 grams of copper are required.
Explanation:The question is asking how much of each metal, namely nickel, zinc, and copper, is needed to make 3.6 kg of an alloy with a ratio 2:7:9. To solve this, first, we have to understand that the ratio represents relative amounts of each metal, not their exact weights. The entire alloy is made up of 2 parts nickel, 7 parts zinc, and 9 parts copper - a total of 18 parts. We can find the weight equivalent to one part by dividing the total weight of the alloy - 3.6 kg or 3600 grams - by 18. This gives us 200 grams as the weight of one part. To find the weight of each metal needed, we multiply the weight of one part by the number of parts in the ratio: nickel is 2 * 200 = 400 grams, zinc is 7 * 200 = 1400 grams, and copper is 9 * 200 = 1800 grams.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ11
X+4y=6 y=-x+3 solve each system of linear equations by substitution
Joseph used the problem-solving strategy Work Backward to solve the inequality 2n+5<13. Shawnee solved the inequality using the algebraic method. Compare the two methods
Answer:
1. Using Backwards Method, we get,
We have the inequality 2n+5<13.
So, we subtract both the sides by 5,
i.e. 2n+5-5<13-5
i.e. 2n < 8
Now, divide both sides by 2, we get,
[tex]\frac{2n}{2} <\frac{8}{2}[/tex]
i.e. n < 4.
So, using the Backwards method, we get the solution is n<4.
2. Now, we use the Algebraic method,
We have, 2n+5<13
Take 5 to the right side of the inequality,
i.e. 2n<13-5
i.e. 2n < 8
Now, take the 2 on the right side of the inequality.
i.e. [tex]n<\frac{8}{2}[/tex]
i.e. n < 4.
So, again using the Algebraic Method, we get that the solution is n<4.
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time period?
Cual es el resultado de la suma de polínomios (5a + a2 - 14) (10a + a2 + 39)
Whats not an example of square root
if a fish swims 7/8 of the depth of 32 foot deep lake, how many feet down did the fish swim?
Ron walk 0.5 mile on the track in 10 minutes Stevie walk 0.25 miles on the track in six minutes find the unit rate for each walker in miles per hour who is a fast walker
Determine if each function is linear or nonlinear.
Select each function and put it in the correct column its suppose to go in. Ex: A is linear or non.
Linear:
Non-Linear:
A) y = x/2 - 19
B) 2y = x to the 2nd power
C) 13y = 1/3x + 5
D) y = x + √25
E) √y = x
solve each equation 2n-5=21
What is the volume of the box pictured below?
A 8/9 cubic foot
B 9/10 cubic foot
C 1 1/15 cubic feet
D 1/3 cubic feet
what does a and b equal in this equation.
a − 3b = 16
Kelly Ann took 15 minutes to walk from her home to the library. Her average speed was 3 miles in 45 minutes. how far was it from Kelly Ann's house to the library? (PLEASE SHOW STEPS!!)
Five less than the product of a number n and -6 is at least 8.
A) 5-(-6n)≥8
B -n/6-5≥8
C) -6n-5≥8
The required inequality is -6n - 5 ≥ 8. Option (C) is correct.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
Given that,
When 5 is subtracted from the product of number n and -6 is at least 8.
The product of number n and - 6 = -6n
Subtract 5 from product of number n and -6 = -6n - 5
To write the inequality that shows that 5 less than -6n is at least 8,
Implies that, -6n - 5 can be grater than or equal to 8.
The inequality can be expressed as,
-6n - 5 ≥ 8
Hence, option (C) is correct.
To know more about Inequality on:
https://brainly.com/question/20383699
#SPJ2
Which of the following best defines 3 to the power of 2 over 3?
Square root of 9
Cube root of 9
Cube root of 3
Square root of 3
Answer:
The cube root of 9
Step-by-step explanation:
whats 40a-8 factorize
Rachel and her cousin, Lena, live in different cities that are about 100 miles apart. On a map, the two cities measure 5 inches apart. What is the scale factor used for the map?
There are 46 legs in a zoo exhibit. The number of 2 legged animals is 2 more then the number of 4 legged animals. How many of each is in the exhibit?
what is the place value of the diget 6 in the decomal number 4.769
24/4 = ?/1. 40/5 = ?/1
I don't get how to do this. Please Explain step-by-step please.
(-8x³y²)² × 2x²y⁶
--------------------------
32x⁸y³
Help pls hello pls hello hello
How do you multiply 62.19 times 32.5?
Please help with the following:
1. For what value(s) of "r" is 3r-6=7+3r
A) all real numbers
B)all negative numbers
C)0
D) no values of r
2. What is the range of f(x)=[[x-1]]?
A)all reals
B)all integers
C)all real > or = 1
D)all integers > or = 1
Lee has a jar of 100 pennies. She adds groups of 10 pennies to the jar. She adds 5 groups. What numbers does she say?
You can measure length with the greatest precision using a tape measure marked in _____. A. meters B. kilometers C. millimeters D. centimeters