Answer:
12
Step-by-step explanation:
2*126=252
252/21=12
A number is chosen at random from the first 100 positive integers. Find the probability that the number is either even or a perfect square. 11/20 1/20 3/5.
The probability that the number is either even or a perfect square is \(\frac{3}{5}\)
Probability refers to potential.This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability is a concept in mathematics that helps predict the likelihood of certain events. Probability generally refers to the degree to which something is likely to occur..we will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.
Total Number of Outcome = 100
Number of even numbers = 50
Number of perfect square = 10
\(Probability \:=\:\frac{Number\: of\: favourable\:outcome\:}{Number\: of\: total\:outcome\:}\)
\(Probability=\frac{50}{100} +\frac{10}{100} = \frac{60}{100} =\frac{3}{5}\)
Therefore, the probability that the number is either even or a perfect square is \(\frac{3}{5}\)
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PLEasEE help me...
i need
an equation with the solution of x=5.
a equation with the solution of 3/2 (1.5)
an equation with the solution of -2
thank you
Answer:
3x + 3 = x + 13
y=1.5x−6.5,
Step-by-step explanation:
substitute the number in for the first two
Wills mobile contract gives him 700 minutes of calls each month. Will made 113 minutes of calls during the first week how much call time does he have left during this month? give your answer in hours and minutes. How much total call time does wills phone have in the first 7 months. Give your answer in days hours and minutes
Will has 587 mins (9h 47m) of call time left for the month and used 791 mins (13h 11m) in the first 7 months. He has 4,909 mins (81h 49m) left for the remaining 5 months. His phone has 5,700 mins (95d 4h 20m) of call time in a year.
Will has 587 minutes of call time left for the rest of the month, which is 9 hours and 47 minutes (587/60). In the first 7 months, Will has used 791 minutes (113 minutes per month for 7 months), which is 13 hours and 11 minutes. He has 4,909 minutes (7 months x 700 minutes per month - 791 minutes used) or 81 hours and 49 minutes left for the remaining 5 months. In total, Will's phone has 5,700 minutes (12 months x 700 minutes per month) or 95 days, 4 hours and 20 minutes of call time in a year.
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please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
It is estimated that the world's population is growing at a rate of 1.14% per year. On January 1st 2014 the population was 7.23 billion. (a) Find the expected population on January 1st 2020. (b) Find the year when the population is expected to reach 10 billion.
Answer:
\(f(t) = 7.23( {1.0114}^{t} )\)
t = 0 represents January 1, 2014
(a)
\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)
The population of the world is expected to be about 7.739 billion people on January 1, 2020.
(b)
\(7.23( {1.0114}^{t} ) = 10\)
\(t = about \: 28.61 \: years\)
The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).
12
Devonte and 19 other students are in
an afterschool robotics program. In order to
attend the state's competition they need to
raise $835.72 for transportation and other
expenses. So far, they have raised $311.12. If
each of the team members were to split the
remaining amount evenly, how much would each
team member be responsible for contributing?
A. $26.23
C. $41.79
B. $15.56
D. $57.34
I WILL GIVE BRAINLIEST! PLEASE ANSWER CORRECTLY!
4. Ray needs help creating the second part of the coaster. Create a unique parabola in the pattern f(x) = (x − a)(x − b). Describe the direction of the parabola and determine the y-intercept and zeros.
5. Create a graph of the polynomial function you created in Question 4
Answer:
4. equation: f(x)=(x-2)(x-1)
direction: parabola faces up bc a is positive
y-intercept: (0,2)
zeros/x-intercepts: (1,0) & (2,0)
5. graph is attached (i used desmos)
Can an object with zero acceleration speed up?
Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.
Then the object will start to move in the reverse direction.
at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.
If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.
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If 7x^3+9x^2−2=5
, what is the approximate value of x?
The approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5 is x ≈ -1.153.
To find the approximate value of x in the equation 7x^3 + 9x^2 - 2 = 5, we need to solve for x.
Rearranging the equation, we have:
7x^3 + 9x^2 - 2 - 5 = 0
7x^3 + 9x^2 - 7 = 0
This equation is a cubic equation, which can be challenging to solve analytically. However, we can use numerical methods or software to approximate the value of x.
Using a numerical solver or a graphing calculator, we can find that there is a root near x ≈ -1.153.
It's important to note that this is an approximation, and the exact value of x may have more decimal places. Additionally, there could be other roots to the equation that are not visible in the given equation.
If a more precise value is required, you can use numerical methods like Newton's method or bisection method, or utilize software with higher precision calculations to find a more accurate approximation of x.
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Help with this Math problem!
Answer:
what is the question which you are asking can you please tell
Select the correct answer. Gary throws a parachute toy from the roof of a building which has a height of 96 feet. The toy reaches its maximum height of 100 feet after 2 seconds, and it hits the ground after 12 seconds. Which of the following graphs represents the height of the toy?
Answer:
Z
Step-by-step explanation:
The height needs to start at 96
whats the gcf and distributive property of 15+36
The gcf of 15 and 36 is 3 and 15 + 36 by distributive property is 51.
What is gcf?
The gcf(greatest common factor) is the greatest factor that divides both numbers. To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What is distributive property?
According to the distributive property, multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. A (B + C) = AB + AC.
Given that, 15 and 36
Factor of 15 = 3 × 5
Factor of 36 = 2 × 2 × 3 × 3
gcf of 15 and 35 is 3 because 3 only one 3 is common in both the number.
Applying distributive property on 15 an 35 = 15 + 36
= 3×5 + 3×12
= 3(5 + 12)
= 3(17) = 51
Therefore, the gcf of 15 and 36 is 3 and 15 + 36 by distributive property is 51.
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what value will be assigned to strgrade when intscore equals 90?
The variable assigned to strgrade when intscore equals 90 would likely be 'A'.
If intscore is 90, what grade will be assigned to strgrade?When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.
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Given the following matrices, A n×k and B k×m, construct matrix C(i,f) = ∑ᵏₗ₌₁ A(i,l)×B(l,j). What is the sum of the diagonal elements of matrix C ? A= [ 1.1 0.2 0.3 0.1]
[2.1 1.2 3.1 1.4]
[1.3 3.2 2.3 1.2]
B = [0.5 0.6 0.1]
[0.3 1.2 0.1]
[0.2 2.2 0.1]
[0.6 0.7 0.4]
The sum of the diagonal elements of matrix C is 7.07.
To calculate the sum of the diagonal elements of matrix C, we need to first calculate the matrix C using the given matrices A and B, and then sum the diagonal elements of C.
Given matrices A and B:
A = [ 1.1 0.2 0.3 0.1 ]
[ 2.1 1.2 3.1 1.4 ]
[ 1.3 3.2 2.3 1.2 ]
B = [ 0.5 0.6 0.1 ]
[ 0.3 1.2 0.1 ]
[ 0.2 2.2 0.1 ]
[ 0.6 0.7 0.4 ]
To calculate matrix C, we can use the given formula:
C(i,f) = ∑ᵏₗ₌₁ A(i,l) × B(l,j)
Matrix C will have dimensions n×m, where n is the number of rows in A and m is the number of columns in B. In this case, n = 3 and m = 3.
C = [ A(1,1) × B(1,1) + A(1,2) × B(2,1) + A(1,3) × B(3,1) A(1,1) × B(1,2) + A(1,2) × B(2,2) + A(1,3) × B(3,2) A(1,1) × B(1,3) + A(1,2) × B(2,3) + A(1,3) × B(3,3) ]
[ A(2,1) × B(1,1) + A(2,2) × B(2,1) + A(2,3) × B(3,1) A(2,1) × B(1,2) + A(2,2) × B(2,2) + A(2,3) × B(3,2) A(2,1) × B(1,3) + A(2,2) × B(2,3) + A(2,3) × B(3,3) ]
[ A(3,1) × B(1,1) + A(3,2) × B(2,1) + A(3,3) × B(3,1) A(3,1) × B(1,2) + A(3,2) × B(2,2) + A(3,3) × B(3,2) A(3,1) × B(1,3) + A(3,2) × B(2,3) + A(3,3) × B(3,3) ]
Let's calculate the elements of matrix C:
C = [ (1.1 × 0.5) + (0.2 × 0.3) + (0.3 × 0.2) (1.1 × 0.6) + (0.2 × 1.2) + (0.3 × 2.2) (1.1 × 0.1) + (0.2 × 0.1) + (0.3 × 0.1) ]
[ (2.1 × 0.5) + (1.2 × 0.3) + (3.1 × 0.2) (2.1 × 0.6) + (1.2 × 1.2) + (3.1 × 2.2) (2.1 × 0.1) + (1.2 × 0.1) + (3.1 × 0.1) ]
[ (1.3 × 0.5) + (3.2 × 0.3) + (2.3 × 0.2) (1.3 × 0.6) + (3.2 × 1.2) + (2.3 × 2.2) (1.3 × 0.1) + (3.2 × 0.1) + (2.3 × 0.1) ]
Simplifying the calculations, we get:
C = [ 0.56 2.46 0.12 ]
[ 1.46 7.16 0.37 ]
[ 1.26 6.24 0.35 ]
The diagonal elements of matrix C are C(1,1), C(2,2), and C(3,3):
C(1,1) = 0.56
C(2,2) = 7.16
C(3,3) = 0.35
Now, we can calculate the sum of the diagonal elements:
Sum of diagonal elements = C(1,1) + C(2,2) + C(3,3) = 0.56 + 7.16 + 0.35 = 7.07
Therefore, the sum of the diagonal elements of matrix C is 7.07.
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15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers
Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.
However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.
So the list goes as
1. Exponents
2. Roots
3. Multiplication
4. Division
5. additional
6. Subtraction
However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.
Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.
Furthermore, the preferred behavior norm for division and multiplication is different.
Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.
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Value of people so that the expression 3(4+n) is equipment to 3(n+p)
0 . 12 + 14 . 6 Pls help
0 . 12 + 14 . 6 answer is 14 . 72
Answer:
0.12
+ 14.60
14.72
Step-by-step explanation:
at first place 0.12
and add 14.60
your answer is 14.72
while adding make sure the decimal u place must be in same sequence
A dilation maps ABC onto A’B’C if AC = 24 cm A’C =6 cm and BC cm then B’C’ equals?
The length of B’C’ for the triangle A’B’C' is 7.5 cm if a dilation maps triangle ABC onto A’B’C'.
What is triangle?A triangle is a three-sided polygon that has three angles, three vertices, and three sides. It is a basic geometric shape that is often studied in mathematics and geometry. Triangles come in different shapes and sizes, but the sum of their interior angles always adds up to 180 degrees. Triangles can be classified based on their sides and angles, such as equilateral, isosceles, scalene, acute, right, or obtuse.
Here,
We can use the property that the ratio of corresponding sides of similar triangles is equal to the scale factor of dilation. In this case, we have:
AC/A'C' = BC/B'C'
Substituting the given values:
24/6 = 30/B'C'
Simplifying:
4 = 30/B'C'
Multiplying both sides by B'C':
4B'C' = 30
Dividing both sides by 4:
B'C' = 7.5
Therefore, B'C' is 7.5 cm.
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Complete question:
A dilation maps triangle ABC onto triangle A’B’C if AC = 24 cm A’C =6 cm and BC= 30 cm then B’C’ equals?
who uses the product pick list generated by an order processing system?
The product pick list generated by an order processing system is used by warehouse personnel or fulfillment staff to gather and prepare items for shipment.
The product pick list is a crucial tool in the order fulfillment process. It contains detailed information about the products ordered by customers, such as their names, quantities, and locations within the warehouse. Warehouse personnel or fulfillment staff rely on this pick list to efficiently gather the required items from the shelves or storage areas.
When an order is received, the order processing system automatically generates a pick list based on the products included in the order. This pick list serves as a guide for the warehouse staff, enabling them to quickly locate and pick the items needed to fulfill each order accurately. The pick list typically organizes the items in a logical order, such as by aisle or location, to optimize the picking process and minimize the time spent searching for items.
By using the product pick list, the warehouse personnel can ensure that the correct items are picked and prepared for shipment, reducing the likelihood of errors or mix-ups. This helps streamline the order fulfillment process, improve efficiency, and ultimately deliver a positive customer experience.
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Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
There are 10 boys in a class of 15 people. create a ratio of boys to girls simplify
Answer:
10:5
Step-by-step explanation:
Answeer
2 to 3. ... On many GMAT questions, you will be given a ratio, and you will solve by setting up a ... We set up a proportion by finding something that we can set the ratio equal to:.
Step-by-step explanation:
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 60% of this population prefers the color green. If 12 buyers are randomly selected, what is the probability that exactly 9 buyers would prefer green
The probability that exactly 9 buyers would prefer green is 0.1408
We will use the Binomial probability formula to find the answer
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ-ˣ
We have
n, the number of trial = 12
x, the sample we aim to try = 9
p, the probability of success = 0.6
Substitute these values into the formula
\(P(9)= ^{12}C_{9} (0.6)^{9} (1-0.6)^{12-9}\)
P(9) = 0.1408 (rounded to four decimal places)
Hence, The probability that exactly 9 buyers would prefer green is 0.1408
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How many kilograms are equivalent to 450 grams?
Answer:
0.45
Step-by-step explanation:
Answer:
0.45 kg
Step-by-step explanation:
A forest produces approximately 970 kg of oxygen for every metric ton of wood produced. If the average person breathes about 165 kg of oxygen per year, how many people does this forest support
This forest can support approximately 5 people based on its oxygen production.
To find out how many people the forest can support based on the amount of oxygen produced, we will use the given information:
1. The forest produces 970 kg of oxygen per metric ton of wood.
2. The average person breathes 165 kg of oxygen per year.
We'll first calculate the total amount of oxygen the forest produces, and then divide that by the oxygen consumption of one person to find out how many people the forest can support.
Your answer: A forest produces approximately 970 kg of oxygen for every metric ton of wood produced. If the average person breathes about 165 kg of oxygen per year, the number of people this forest can support can be calculated using the following steps:
Step 1: Determine the total amount of oxygen produced by the forest.
Let's assume the forest produces 1 metric ton of wood.
Total oxygen produced = 970 kg of oxygen per metric ton of wood x 1 metric ton of wood = 970 kg of oxygen.
Step 2: Calculate the number of people the forest can support.
\(Number of people = \frac{Total oxygen produced}{Oxygen consumption per person}\)
\(Number of people = \frac{ 970 kg of oxygen}{165 kg of oxygen per person}\)
Number of people = 5.88
Since we cannot have a fraction of a person, we round down to the nearest whole number. Therefore, this forest can support approximately 5 people based on its oxygen production.
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n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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Find an answer to match the equation:8p+5=-6p+1A.3B.-10C.60D.4E.20F.38G.-2/7H.-10.4I.0
The first thing we need to do is collect like terms; move all the terms in p to one side of the equation and move the rest to the other side of the equation;
\(\begin{gathered} 8p+6p=1-5 \\ 14p=-4 \end{gathered}\)We'll now divide both sides of the equation by 14, which will give us the below;
\(\begin{gathered} \frac{14p}{14}=\frac{-4}{14} \\ \\ p=\frac{-2}{7} \end{gathered}\)Therefore, the correct answer is option G which is -2/7 as seen in our answer.
b. What's the probability a customer who ordered pancakes came to the diner late?
c. Are breakfast choice and meal time independent? Explain.
Answer:
b. To find the probability a customer who ordered pancakes came to thediner late, we need to look at the intersection of the "pancakes" row and the "late" column. This gives us a probability of 0.1, or 10%
c. To determine whether breakfast choice and meal time are independent, we need to see if the probability of one event changes based on the occurrence of the other event. In this case, it seems that breakfast choice and meal time are not independent, as the probability of being late seems to differ based on what breakfast item the customer chose. For example, the probability of being late is higher for customers who ordered pancakes compared to those who ordered cereal. Therefore, the choice of breakfast item appears to be related to the probability of being late, and so breakfast choice and meal time are not independent.
Step-by-step explanation:
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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Test the series for convergence or divergence. Σ (n^9 +1) / (n10 + 1) n = 1 a. convergent b. divergent
The given series is divergent.
We can use the limit comparison test to determine the convergence or divergence of the given series:
First, note that for all n ≥ 1, we have: \(\frac{(n^9 + 1) }{ (n^10 + 1)}\) ≤ \(\frac{n^9 }{n^10} = \frac{1}{n}\)
Therefore, we can compare the given series to the harmonic series ∑ 1/n, which is a well-known divergent series. Specifically, we can apply the limit comparison test with the general term \(a_n = \frac{(n^9 + 1)}{(n^{10} + 1)}\) and the corresponding term \(b_n = \frac{1}{n}\):
lim (n → ∞) \(\frac{a_n }{ b_n}\) = lim (n → ∞) \(\frac{\frac{(n^9 + 1)}{(n^10 + 1)} }{\frac{1}{n} }\)
= lim (n → ∞) \(\frac{ n^{10} }{ (n^9 + 1)}\)
= lim (n → ∞) \(\frac{n}{1+\frac{1}{n^{9} } }\)
= ∞
Since the limit is positive and finite, the series ∑ \(\frac{(n^9 + 1) }{ (n^10 + 1) }\) behaves in the same way as the harmonic series, which is divergent. Therefore, the given series is also divergent.
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i need help with this geometry please
Answer:
how may i helps
Step-by-step explanation: