Answer:
Step-by-step explanation:
(1, 72) (2, 73)
(73 - 72)/(2 - 1)= 1/1= 1
y - 72 = x - 1
y = x + 71
6 minutes 20 seconds into seconds.
Answer:
380 seconds
Step-by-step explanation:
Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360
Now add the 20 seconds.
360 + 20 = 380
6 minutes and 20 seconds are equal to 380 seconds.
three less than the product of two and a number y
can someone plssss translate that into a algebraic expression
plsss ill give you brainiac
Answer:
\(2y-3\)
Step-by-step explanation:
It is saying to subtract 3 from the product of 2 and the variable, y.
If z = -1.3, mu=80, sigma=30 What is the actual data value? Round to 2 decimal places.
Step-by-step explanation: This simple confidence interval calculator uses a Z statistic and sample mean (M) to generate an interval estimate of a population mean (μ).
Note: You should only use this calculator if (a) your sample size is 30 or greater; and/or (b) you know the population standard deviation (σ), and use this instead of your sample's standard deviation (an unusual situation). If your data does not meet these requirements, consider using the t statistic to generate a confidence interval.
where:
M = sample mean
Z = Z statistic determined by confidence level
sM = standard error = √(s2/n)
As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation (or population's standard deviation if your sample size is smaller than 30). (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office. If she gives all the earnings to her sister, Jenny will still owe her sister $
.
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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write out the sample space for the given experiment. use the following letters to indicate each choice: w for white, o for orange, y for yellow, c for cherry, e for ebony, and m for maple.while renovating your house, you have a choice of paint colors for your game room: white, orange, or yellow. you also have the following options for the finish on your entertainment center: cherry, ebony, or maple.
The Sample space would be
{(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}
According to the question,
Colors for room are { w, o,r}
Entertainment center would be { c, e, m}
A set that consists of all possible outcomes and the result from a random experiment( real or conceptual) is called a sample set. The experiment of tossing a coin results in either of two possible outcomes; a head (H) or a tail (T). The sample space for this experiment is S= {H, T}. If we take a sample space by tossing two coins the result would be S={HH, HT, TH, TT}.
So, the Sample space would be
{(w,c), (w,e), (w,m), (o, c) (o,e), (o,m), (r,c), (r,e), (r,m)}
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I can't seem to figure this out
Answer:
c. 4
Step-by-step explanation:
tan (30)/1 = x/7 *cross multiply*
x = 7 (tan(30))
x = 4.04
x = 4
60 families from each school in the district were given a survey asking them their primary method of transportation. 65% of the families surveyed said they would need bus transportation. 15% of families surveyed said they would walk to school. 18% of families surveyed said they would use their own transportation (parent drop off). 2% of those surveyed did not respond. What is the sample and what is the population in this scenario?
a) The sample in this scenario is 60 families from each school in the district.
b) The population is the total number of families in the school district.
What is the sample?The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.
The sample of families surveyed = 60 families from each school in the district
The population = the number of families in the school district
The percentage of families surveyed who need bus transportation = 65%
The percentage of families surveyed who would walk to school = 15%
The percentage of families surveyed who would use own transportation = 18%
The percentage of non-respondents = 2%
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What is the slope of (-16, 7) (-1, 17) and the slope of (-11, 15)
, (-11, 6)
Answer:
2/3 and 9
Step-by-step explanation:
Prove that Newton-Raphson method for solving the equation \(x^{k} e^{x} = 0\) (where k is constant) is given by this formula: \(x _{n +1} = \frac{(K-1)x_n + x_n^{2} }{K+x_n}\)
We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula
\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)
we can start by considering the iterative process of the Newton-Raphson method.
Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)
The Newton-Raphson method involves the following steps:
Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)
Find the next approximation x_{n+1} by using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Let's apply these steps to our equation \(x^k e^x = 0\):
Calculate the function value and its derivative:
\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)
Find the next approximation x_{n+1} using the formula:
\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)
Substituting the function value and its derivative:
\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)
Simplifying the expression by combining like terms:
\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)
Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)
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Which ones right ????
iris is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a red, and a orange marble. there is also a spinner separated into 4 equal sections. How many outcomes are in the sample space for pulling a marble out of the box and spinning the spinner?
There are 16 outcomes in the sample space for pulling a marble out of the box and spinning the spinner.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find the total number of outcomes in the sample space for pulling a marble out of the box and spinning the spinner, we need to multiply the number of outcomes for each event.
The number of outcomes for pulling a marble out of the box is 4, since there are 4 marbles in the box.
The number of outcomes for spinning the spinner is 4, since there are 4 equal sections on the spinner.
To find the total number of outcomes, we multiply the number of outcomes for each event:
Total number of outcomes = Number of outcomes for pulling a marble out of the box x Number of outcomes for spinning the spinner
Total number of outcomes = 4 x 4
Total number of outcomes = 16
Therefore, there are 16 outcomes in the sample space for pulling a marble out of the box and spinning the spinner.
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PLEASE HELP ME ON QUESTION ASAP!!
IF YOU HAVE A TOPIC LIST IN YOUR EXAMS AND IT SAYS AVERAGES AND THE RANGE ARE YOU GOING TO BE HAVING MEAN AND RANGE IN YOUR TEST OR MEAN, RANGE MODE, MIDPOINT BASICALLY ALL OF IT ? IF ANSWERS CORRECT ILL RATE YOU FIVE STARS, GIVE YOU A THANKS AND MAYBE EVEN BRAINLIEST (sorry for caps)
Answer:
Step-by-step explanation:
Typically yes you need to know
Mean
Median
Mode
and Range
Mean = average, add all numbers then divide by how many
Median = midpoint, middle number. Be sure to list numbers from small to large if there are 2 middle numbers (this happens when there are an even amount), take the average of the 2 middle numbers
Mode = numbers that occurs the most in the list of numbers
Range = This is the largest number minus the smallest number.
In the graph, ABCD is the preimage EGHF, and is the image. If the second step in a similarity transformation between these two figures is dilation by 1/2, which is the first step? A. (x,y)→(y,2x) B. (x,y)→(y,x) C. (x,y)→(-y,-x) D. (x,y)→(y,-x)
In the given graph, ABCD is the preimage and EGHF is the image. If the second step in a similarity transformation between these two figures is dilation by 1/2. So option D. (x,y)→(y,-x) is the answer.
Let us understand the steps in a similarity transformation: S1: We reflect (flip) the figure over the line y = x.
S2: We perform a dilation (stretch) from the origin.
S3: We reflect (flip) the figure over the line y = -x. Thus, when we perform a dilation by 1/2, it means we will be performing S2 first. The dilation occurs from the origin.
So, all points will be stretched to half the distance from the origin. Hence, the transformation is (x, y) → (1/2x, 1/2y).The correct option is D. (x,y)→(y,-x).
Here, we see that the figure is reflected over y = x first, and then over y = -x. Thus, we can say that the first step in this transformation is S1, (x,y)→(y,x).
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in exercises 19\[dash]22, determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system.
19.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 h 4) must not be equal to zero. Therefore, h cannot be equal to -4. So, the value(s) of h that make the matrix a consistent linear system is any value other than -4.
20.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (6 8 4) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.
21.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 -4 3) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.
22.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (2 -3 -6) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.
In summary, in all four cases, h does not affect the consistency of the system, so the matrix is always consistent regardless of the value of h.
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A machine dispenses water into a glass. Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces, what is the probability that 13 or more ounces will be dispensed in a given glass
Answer:
0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass
Step-by-step explanation:
The uniform distribution is used when every outcome has the same probability.
It has two extremes, a and b.
If we want to find the probability of a value being higher than x, we use the following formula:
\(P(X > x) = \frac{b - x}{b - a}\)
Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces
This means that \(a = 10, b = 16\)
What is the probability that 13 or more ounces will be dispensed in a given glass
\(P(X > 13) = \frac{16 - 13}{16 - 10} = 0.5\)
0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass
f(x+1)=3x2+4x-2 find the function
How can I find equivalent expressions to the given expression?
Answer:
\(\frac{36t^2}{6^t} ~~ Not ~Equivalent\)
\(\frac{6t^2}{36^t} ~ ~Equivalent\) ✔︎
\(6^{t^2} *36^t ~~ Not~ Equivalent\)
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
Hope it helps...
Have a great day!!.
can someone plz help me
In western music, an octave is divided into 12 pitches. For the film Close Encounters of the Third Kind, director Steven Spielberg asked composer John Williams to write a five-note theme, which aliens would use to communicate with people on Earth. Disregarding rhythm and octave changes, how many five-note themes are possible if no note is repeated?
Answer:
This should be a permutation
Step-by-step explanation:
P (n, r) = n!/(n-r)!
P (12,5) = 12!/(12-5)!
P (12,5) = 12!/7!
P(12,5) = 95040
A group of people surveyed about whether they prefer to bike or run to exercise, and whether they prefer summer or winter weather. The results are in the table
The value that will be in the blank would be = 165
The percentage that will like to run that prefer summer = 60%
What percentage would prefer to run in summer?On the given table, the total amount of individuals in each column should be the same.
Therefore, for the bike column = 231 + 87 = 318
Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.
To find the percentage that will like to run that prefers summer, the following is carried out;
The number of people that will like to run = 231
The number of people that will like to bike = 153
Total = 153+231 = 384
Therefore percent = 231/384×100/1
= 23100/384
= 60%
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You have 40 cups of milk you need 1.25 cups to make one serving of deep fried chicken. How many servings can you make
40 cups of milk
1.25 cups of milk makes 1 serving
40 divided by 1.25 is 32
You can make 32 servings
:)
There are 20% more goblins than wizards in magic club. There are 220 goblins and wizards together in magic club. How many goblins are in magic club ?
Answer:
120
Step-by-step explanation:
w = wizards
1.2w = goblins
_________
w + 1.2w = 220
2.2w = 220
w = 100
This means there are 100 wizards. To find the number of goblins just plug the number of wizards in the goblins = 1.2w.
1.2 (100) = 120.
There are 120 goblins in the magic club.
A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
Answer:
4.4 ounces/ 4 ounce (if rounded)
Step-by-step explanation:
There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.
Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces
Hope this helps!
I need help with this and can you explain how to do this?
3(2y + 3) + y
Answer: 7y + 9
Step-by-step explanation: First you will distribute 3(2y + 3). This means we will multiply 3 to the numbers in the parenthesis. 3 x 2y = 6y and 3 x 3 = 9. This is 6y + 9.
Now we have the y left over so combine like terms 6y + y and that is 7y.
Answer:
7y + 9.
Step-by-step explanation:
1. Expand by distributing terms.
3(2y + 3) + y
2. Collect like terms.
(6y + y) + 9.
3. Simplify.
7y + 9.
Hope this helps.
Have a good night ma´am/sir.
Be safe!
pls help will give brainliest -
The rectangular floor of a classroom is 33 feet in length and 36 feet in width. A scale drawing of the floor has a length of 11 inches. What is the area, in square inches, of the floor in the scale drawing?
Answer:
132 in^2
Step-by-step explanation:
Hey there!
so the first thing we want to do is find the scale factor
to do so we divide the actual length by the scale drawings length
33/11=3 so the scale factor is 3
then we divide the width by 3 to get the width of the scale drawing
36/3=12
now we can find the area of the scale drawing by multiplying the length and width
✓12*11=132
so the area of the scale drawing is
\(132 in^{2} \)
Two buildings are 18 m part. The shorter building is 12 m high while the taller one is 19 m high. Find the distance, x m between the top of the buildings.
The distance between the tops of the buildings is 28.5 meters.
To find the distance between the top of the buildings, we can use the concept of similar triangles.
Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).
We can set up a proportion based on the similar triangles formed by the buildings:
a/c = b/x
Substituting the known values:
12/18 = 19/x
To find "x," we can cross-multiply and solve for "x":
12x = 18 * 19
12x = 342
x = 342/12
x = 28.5 m
Therefore, the distance between the tops of the buildings is 28.5 meters.
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prove the difference of the squares of two successive intergers is equal to the sum of the intergers
Answer:
\(\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}\)
Where ? = 2.
Step-by-step explanation:
We want to prove that the difference of the squares of two successive integers is equal to the sum of the integers.
In other words, we want to show that for any given integer n:
\(\displaystyle (n+1)^2 - n^2 = n + (n+1)\)
From the original equation, expand:
\(\displaystyle = (n^2 + 2n + 1) - n^2\)
Combine like terms:
\(= 2n +1\)
And rewrite. Hence:
\(\displaystyle = n + (n + 1)\)
Therefore:
\(\displaystyle \begin{aligned} \displaystyle (n+1)^2 - n^2 &= 2n +1 \\ &= n (n+1)\end{aligned}\)
In conclusion, ? = 2.
id like 75% of my order to be 9 chocolate and the rest vanilla. how many vanilla cupcakes are there
Answer:
3 vanilla
Step-by-step explanation:
If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.
Unless there is more than 12 in the order. The question is vague
Will give brainliest answer
Answer: 2/5x to the second.
may I have the brainiest? pls