SOLUTION
The expression
Nine less than the product of a number and 4 can be written as
Defined a parameter for the unknown
\(\text{Let the number be n}\)The product of 4 and the number is
\(4\times n=4n\)Then
Nine less than the product means to subtract 9 from the product
Hence
\(4n-9\)Therefore
The expression nine less than the product of a number and 4 is written as
4n-9
The right answer is A
Today, Nate has 100 bananas. He will eat 2 of them every day.
Is the number of bananas Nate has left proportional to the number of days that pass?
Answer:
No, Its not.
Step-by-step explanation:
Kindo forgot Why and How.. Sorry!!
In statistical inference, when testing hypotheses: _______________
a. the alternative hypothesis is a statement about the unknown value of a population parameter and the null hypothesis is a statement about the value of a sample statistic.
b. the null and alternative hypotheses are both statements about the unknown value of a sample statistic.
c. the null hypothesis is a statement about the unknown value of a population parameter and the alternative hypothesis is a statement about the value of a sample statistic.
d. the null and alternative hypotheses are both statements about the unknown value of a population parameter.
In statistical inference, when testing hypotheses
d. the null and alternative hypotheses are both statements about the unknown value of a population parameter.
Hypothesis testing is a statistical method used to make inferences or draw conclusions about a population based on sample data. It involves formulating two competing hypotheses: the null hypothesis (H₀) and the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement about the value of a population parameter that is assumed to be true before any evidence or data is collected. It represents the status quo or the default position that there is no significant difference or effect.
The alternative hypothesis (Hₐ) is a statement that contradicts or opposes the null hypothesis. It represents the researcher's claim or belief that there is a significant difference or effect in the population.
Both the null and alternative hypotheses are statements about the unknown value of a population parameter. The null hypothesis assumes a specific value for the parameter (usually no effect or no difference), while the alternative hypothesis proposes a different value or range of values for the parameter (indicating an effect or difference).
During hypothesis testing, statistical techniques are used to analyze the sample data and evaluate the evidence against the null hypothesis. Based on the results, the researcher either rejects the null hypothesis in favor of the alternative hypothesis or fails to reject the null hypothesis.
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A baseball player hit 59 home runs in a season. Of the 59 home runs, 24 went to right field, 15 went to right center field, 8 went to center field, 10 went to left center field, and 2 went to left field. (a) What is the probability that a randomly selected home run was hit to right field?
A baseball player hit 59 home runs in a season. Of the 59 home runs, 24 went to right field, 15 went to right centre field, 8 went to centre field, 10 went to left-centre field, and 2 went to left field.
(a) The probability that a randomly selected home run was hit to the right field is 0.407.
To find the probability that a randomly selected home run was hit to right field, you can follow these steps:
Step 1: Identify the total number of home runs and the number of home runs hit to the right field.
Total home runs = 59
Home runs to right field = 24
Step 2: Calculate the probability by dividing the number of home runs hit to the right field by the total number of home runs.
Probability = (Home runs to right field) / (Total home runs) = 24/59
The probability that a randomly selected home run was hit to the right field is 24/59, or approximately 0.407.
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Exp
Ajug has a maximum capacity of 8 liters. It's filled to 30% of its capacity, and then poured out at a rate of 70 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after 2 seconds?
Eva
A) 2.4 -0.07%
B) 8 -0.07
C) 2400 – 70
D) 8000 – 700
Answer:
I think it's C. Sorry if it's incorrect! I worked it out in like 2 min.
PLEASE HELP! (WILL MARK BRAINLIEST.)
Christina wants to make a quilt. She purchases 1 ½ yards of blue fabric, ⅔ yards of polka dot fabric, and ⅝ yards of red fabric. How much total fabric did she buy?
*Please provide an explanation, thank you :) *
Answer:
2 19/24
Step-by-step explanation:
5/8 + 2/3= 1 7/24
1 7/24 + 1 1/2= 2 19/24
Answer:
67/24 or 2 19/24
Step-by-step explanation:
You can find a common multiple for all of the fractions.
24 is going to be the common multiple.
1 12/24+16/24+15/24
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is false?
Ø (X Y)
X Y = {-5, 15, 22, 33, 44, 89, 99, 150, 160, 165, 1025}
X ∩ Y = {15, 33, 1025}
WHAT EVEN IS THIS LOL
Answer:
the first one
Step-by-step explanation:
in the first one it says there are no common numbers between x and y which is false.
in the second one its the union of x and y which means that you must list all numbers in x and y without repetition
the third one states that 15,33,1025 are the only numbers that are common between x and y.
so as a breif the first one is wrong
Answer:
first choice
Step-by-step explanation:
3. CLOVERS Nathaniel is searching for a four-leaf
clover in a field. He finds 2 four-leaf clovers during
the first 12 minutes of his search. If Nathaniel spends
a total of 180 minutes searching in the field, predict
the number of four-leaf clovers Nathaniel will find.
Answer:
Sham Rock is searching for a four-leaf clover in a field. He finds 2 four-leaf clovers during the first 12 minutes of his search. If Sham spends a total of 180 minutes searching in the field, predict the number of four-leaf clovers he will find.
Step-by-step explanation:
The sum of two numbers is 27. The difference between the two numbers is 5. What are the two numbers?
When the sum of two numbers is 27. The difference between the two numbers is 5. The two numbers are
16 and 11How to solve for the two numbersLet's call the two numbers x and y.
From the problem, we know that:
The sum of the two numbers is 27
x + y = 27
The difference between the two numbers is 5
x - y = 5
The problem is a simultaneous equation and can be solved by elimination method as follows
We can start by adding the two equations together:
x + y + |x - y| = 27 + 5
x + y + (x - y) = 32
So we can simplify the equation:
2x = 32
x = 16
substitute x = 16 into x + y = 27
16 + y = 27
y = 11
So the two numbers are x = 16 and y = 11.
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The sum of one-third a number and twenty-five is as much as twice the number
Answer:
75/7 = 105/7 (ten whole number, five over seven)
Step-by-step explanation:
1/3n + 25 = 2n
n is the number
n/3 + 25/1 = 2n
n + 75/3 = 2n
cross multiply
n + 75 = 6n
75 = 7n
n = 75/7
n = ten whole number, five over seven (105/7)
please find the area
Answer:
254.34 m²
Step-by-step explanation:
The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:
3.14 · 9²
3.14 · 81
= 254.34 m²
hope this helps!
Answer:
Area = 254.469004940773 m²
Step-by-step explanation:
formula : (area of a circle)
Area = π × r²
where r is the radius of the circle
\(\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m\)
then
Area = π × 9²
= π × 81
= 254.469004940773 m²
the manager of a movie theater has determined that the distribution of customers arriving at the concession stand is poisson distributed with a standard deviation equal to 2 people per 10 minutes. what is the probability that 0 customers arrive during a 10-minute period?
The probability that 0 customers arrive during a 10-minute period is given as follows:
0.0183 = 1.83%.
How to obtain the probability?We are given the mean during a time interval, hence the Poisson distribution is used to obtain the probability in this problem.
The mass probability function for the Poisson distribution is given as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are given as follows:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number\(\mu\) is the mean in the given interval or range of values of the input parameter.The standard deviation for the Poisson distribution is the square root of the mean, hence the mean is calculated as follows:
\(\mu = 2^2 = 4\)
Then the probability that 0 customers arrive during a 10-minute period is calculated as follows:
P(X = 0) = e^(-4) = 0.0183 = 1.83%.
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Use synthetic division to solve (2x^3+4x^2-35x+15)/(x-3). What is the quotient?
Answer:
the quotient is 2x^2+10x-5
Consider the infix expression: 16/(5+3). The equivalent postfix (reverse Polish notation) expression is:
16/8
16/5+3
1653+/
53+/16
General-purpose architectures are divided into three groups: memory-memory, register-memory, and load-store stack addressing, accumulator addressing, and register addressing Von Neumann, parallel, and quantum Windows, Mac, and Linux A stack-organized computer uses addressing. indirect zero indexed direct
The equivalent postfix (reverse Polish notation) expression is: 16 /8. Stack-organized computers are computers that use stack addressing. They employ direct, indirect, and zero-indexed addressing.
The infix expression is: 16/(5+3). To find its equivalent postfix expression (in reverse Polish notation), we need to follow the following steps:Step 1: Consider the left parentheses, which has the lowest precedence. Since it does not involve any calculation, just put it in the stack. Stack: {(Step 2) Step 2: We have 16 and the division operator. Since there is nothing in the stack, just add them to the stack. Stack: {16, /}Step 3: Now, we have a left parenthesis and the numbers 5 and 3. Since the left parenthesis has the lowest precedence, just put it in the stack. Stack: {16, /, (} Step 4: We have two numbers 5 and 3 and an addition operator. We can solve this expression now. So, we pop 5 and 3 from the stack, add them, and put the result (8) back into the stack. Stack: {16, /, (, 8}Step 5: Finally, we have a right parenthesis. Now, we can solve the expression inside the brackets. We pop 8, and the left parenthesis from the stack and place them in the postfix expression as 8. We now have the postfix expression 16 8 /, which is the equivalent postfix expression of 16/(5+3).Therefore, the equivalent postfix (reverse Polish notation) expression is: 16 8 /In general-purpose architectures, Von Neumann, parallel, and quantum are the three groups. Stack-organized computers are computers that use stack addressing. They employ direct, indirect, and zero-indexed addressing.
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please help me with this question
three people, each working at the same rate, finish a job in 20 hours. at this rate, how many hours will it take five people to finish three such jobs?
Let's start by finding the rate at which one person works. Since three people can finish a job in 20 hours, the combined rate of the three people is 1 job / 20 hours, or 1/60 jobs per hour. Since each person works at the same rate, the rate of one person is 1/3 of the combined rate, or 1/180 jobs per hour.
Now we can use the formula for the rate of work to set up an equation for the number of hours it will take five people to finish three jobs: $r \times t = w$, where $r$ is the rate of work, $t$ is the time in hours, and $w$ is the amount of work. We want to find $t$, so we can rearrange the equation as $t = w/r$.
We know that the amount of work to be done is 3 jobs and the rate of work for one person is 1/180 jobs per hour. To find the rate of work for five people, we can multiply the rate of one person by 5, so the combined rate of five people is 5/180 jobs per hour, or 1/36 jobs per hour. Therefore, the number of hours it will take five people to finish three jobs is:
$t = w/r = 3 / (1/36) = 108$ hours
So it will take five people 108 hours to finish three such jobs.
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julie pays 6.72 for 3.2 pounds of ground beef to make hamburgers. What price per pound does she pay
Answer:
6.72/3.2=2.1
Step-by-step explanation:
8.
What is the distance between the two points?
(-5,7)
(7,2)
Answer:
13
Step-by-step explanation:
Use the distance formula to solve for the distance between two points.
\(d=\sqrt{(x2-x1)^2 + (y2-y1)^2\)
Plug in your coordinate points.
\(d=\sqrt{(7-(-5))^2 + (2-7)^2\)
\(d=\sqrt{(12)^2 + (-5)^2\)
\(d=\sqrt{144 + 25\)
\(d=\sqrt{169\)
d= 13
When simplifying the fraction 2x/4, madison wrote 2x/4 = 2x. EXPLAIN WHY her answer is wrong and write the correct answer.
Answer:
x/2
Step-by-step explanation:
Madison didn't cancel the common factor of 2 and that 4 that is why she is wrong.
Hope this helps pls brainliest have a nice day :>
Helpppppppppppppppppppp
Answer:
the cyan one b is greater than or equal to -16
Step-by-step explanation:
okay so b is at least (at least being the keyword) -16, at least means that -16 is the minimum
hope this helps:)
You are deciding what carb you want to eat for dinner, and you decide to look at the ratio of cooking times between rice to pasta. Rice takes 20 minutes to cook, and pasta takes 12. What is the ratio of cooking times for the rice to pasta?
(Make sure your ratio is simplified for your final answer)
5 : 3 is the ratio of cooking times for the rice to pasta .
What does a math ratio mean?
When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.
You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Rice takes 20 minutes to cook
pasta takes 12
the ratio of cooking times for the rice to pasta = 20 : 12
= 5 : 3
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a student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:15am. suppose the actual ending time of the 9am class is normally distributed random variable (x1) with a mean of 9:02 and a standard deviation of 2.5 minutes and that the starting time of the next class is also a normally distributed random variable (x2) with a mean of 9:15 and a standard deviation of 3 minutes. suppose also that the time necessary to get from one class to another is also a normally distributed random variable (x3) with a mean of 10 minutes and a standard deviation of 2.5 minutes. what is the probability that the student makes it to the second class before the second lecture starts? (hint: assume x1, x2 and x3 are independent also think linear combinations)
The probability that the student makes it to the second class before it starts is very close to 0.
To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.
Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.
The mean of X is the sum of the means of X1, X2, and X3:
μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.
The variance of X is the sum of the variances of X1, X2, and X3:
σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.
Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.
Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.
Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.
Therefore, the probability that the student makes it to the second class before it starts is very close to 0.
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Find the sum of the Series
a) [infinity]Σ n=1 n - 1/(2(n)!! x^n+1
b) [infinity]Σ n=2 n(n + 1)x^n-2
c) [infinity]Σ n=1 x^2n+5/3^2n (2n + 1)
The process of finding the sum of each series involves identifying patterns, using known series formulas, and manipulating the expressions to simplify them. The specific steps and formulas required to find the sums of the given series would depend on the specific patterns and expressions present in each series.
a) To find the sum of the series Σ n = 1 to infinity of n - 1/(2n)!! x^(n+1), we can rewrite it as follows:
S = Σ n = 1 to infinity (n - 1/(2n)!! x^(n+1))
= Σ n = 1 to infinity (n * x^(n+1)) - Σ n = 1 to infinity (1/(2n)!! x^(n+1))
The first series can be expressed as the derivative of the geometric series Σ n = 0 to infinity (x^(n+1)), which is given by:
Σ n = 1 to infinity (n * x^(n+1)) = d/dx (Σ n = 0 to infinity (x^(n+1)))
Differentiating the geometric series gives:
Σ n = 1 to infinity (n * x^(n+1)) = d/dx (x * Σ n = 0 to infinity (x^n))
= d/dx (x * (1/(1-x)))
= x/(1-x)^2
Now, let's consider the second series:
Σ n = 1 to infinity (1/(2n)!! x^(n+1)) = x * Σ n = 0 to infinity (1/(2n+1)!! x^n)
= x * Σ n = 0 to infinity (1/(2n+1) * x^n)
This is the Taylor series expansion of the function arcsin(x). Therefore, the second series is equal to:
Σ n = 1 to infinity (1/(2n)!! x^(n+1)) = x * arcsin(x)
Combining both series, we get:
S = x/(1-x)^2 - x * arcsin(x)
b) To find the sum of the series Σ n = 2 to infinity of n(n + 1)x^(n-2), we can rewrite it as follows:
S = Σ n = 2 to infinity (n(n + 1)x^(n-2))
= Σ n = 0 to infinity ((n+2)((n+2) + 1)x^n)
= Σ n = 0 to infinity ((n+2)(n+3)x^n)
This is the Taylor series expansion of the function 2x^2 + 3x. Therefore, the sum of the series is:
S = 2x^2 + 3x
c) To find the sum of the series Σ n = 1 to infinity (x^2n+5)/(3^(2n)(2n + 1)), we can rewrite it as follows:
S = Σ n = 1 to infinity (x^2n+5)/(3^(2n)(2n + 1))
= Σ n = 1 to infinity [(x^2 * x^5)/(9^2 * 3^(2n-2)(2n + 1))]
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I will give u brainliest if u can help me plz
Answer:
a. Volume 120km^2
Surface area 168km^2
Step-by-step explanation:
40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the second exam also passed the first exam ?
The total percentage of students who passed the second exam also passed the first exam is 75 %
we are given that a total of 40% of the students passed both exams and 80% of the students passed the second exam. Here we assume that there are a total of 150 students in that particular class, therefore we can say 40 students passed both exams and 80 students passed the firsts exam, so the number of students who passed second and first too are:
=>40/80 *150
= 75
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Which pair of polygons are congruent?
A) pairs 1,2,3,and 4
B) pairs 1 and 4
C) pairs 1,2,and 3
D) pairs 2 and 4
Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).
Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.
The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.
In the figure shown, which is the value of y?
A 15
B
(2y)
18
C 36
(x)⁰
D 72
(3x)
(2y)
Answer:
The answer is B
18°
Step-by-step explanation:
3x+x+x=180
5x=180
divide both sides by 5
5x/5=180/5
x=36°
3x=empty space(vertically opposite angles)
2y+2y+3x=180(angles on a straight line
4y+3(36)=180
4y+108=180
4y=180-108
4y=72
divide both sides by 4
4y/4=72/2
y=18°
Where should 3V49 be on the number line?
Answer:
Step-by-step explanation:
Note that 49 is a perfect square: 7² = 49.
Therefore, 3√49 = 3(7) = 21.
Note: Brainly makes accessible to you a set of special math characters. Have a friend show you how to find this menu and select the " √ " operator.
In the given problem, find a similar relationship to the given relationship. Support the answer with an explanation.
Notice that the relation between the first two figures is that the outside figure becomes the inside figure, and the inside figure becomes the outside figure.
Therefore the triangle inside the square corresponds to the square inside the triangle.
Answer: Option A.
Witch expression is equivalent to 6-(-8)?
Answer: 6+8
Step-by-step explanation:because negative inot negative becomes positive
Barry reads 8 pages of a book in 10 minutes. At this rate, what is the total number of pages Barry will read in 2 hours?
A. 48
B. 80
C. 96
D. 160
Answer:
C
Step-by-step explanation:
8x6= 48 (1 hour) 48x2= 96 (2 hours)
Answer: The correct answer is C. 96
[ 8 x 6 = 48 ( 1 hour ) 48 x 2 =96 ( 2 hours ) ]