Answer:
\(\huge{\boxed{\bf\:1.79 * p}\)
Step-by-step explanation:
Given,
Cost of 1 pound of peaches = 1.79If pounds of peaches = p, then,
Cost of p pounds of peaches
= Cost of 1 pound × p pounds of peaches (p)
= 1.79 × p
\(\rule{150pt}{2pt}\)
Need help suck on this problem
Hi!
Given:
\(2xy*xy^2\) if \(x=2\) and \(y=4\)
Plug in the numbers for \(x\) and \(y\)
\(2(2)(4)*(2)(4)^2\)
Using PEMDAS (Order of Operations - see below), simplify exponents first:
\(2(2)(4)*(2)(16)\)
Multiply from left to right:
\((4)(4)*(2)(16)\)
\(16*32\)
\(512\)
Your answer is 512.
-------------------------------------------------------------------------------------------------------------
ORDER OF OPERATIONS:
P - Parentheses
E - Exponents
M/D - Multiplication/Division
A/S - Addition/Subtraction
-------------------------------------------------------------------------------------------------------------
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Perform the following base conversions using subtraction or division-remainder: d) 310410 = ________ 9
The converted number is 4248, which matches the result obtained using division-remainder method or subtraction.
To convert 310410 to base 9, we can use division-remainder method.
Step 1: Divide 3104 by 9. The quotient is 344 and the remainder is 8. Write down the remainder (8) as the rightmost digit of the converted number.
Step 2: Divide 344 by 9. The quotient is 38 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.
Step 3: Divide 38 by 9. The quotient is 4 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.
Step 4: Divide 4 by 9. The quotient is 0 and the remainder is 4. Write down the remainder (4) to the left of the previous remainder.
Therefore, the converted number is 4248.
Alternatively, we could also use subtraction method as follows:
Step 1: Find the largest power of 9 that is less than or equal to 3104. This is 9^3 = 729.
Step 2: Divide 3104 by 729. The quotient is 4 and the remainder is 368. Write down the quotient (4) as the leftmost digit of the converted number.
Step 3: Find the largest power of 9 that is less than or equal to 368. This is 9^2 = 81.
Step 4: Divide 368 by 81. The quotient is 4 and the remainder is 64. Write down the quotient (4) to the right of the previous digit.
Step 5: Find the largest power of 9 that is less than or equal to 64. This is 9^1 = 9.
Step 6: Divide 64 by 9. The quotient is 7 and the remainder is 1. Write down the quotient (7) to the right of the previous digit.
Step 7: The remainder is 1, which is the final digit of the converted number.
Therefore, the converted number is 4248, which matches the result obtained using division-remainder method.
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true or false we can represent the pdf of a discrete random variable x with a histogram. group of answer choices
The given statement "We can represent the pdf of a discrete random variable x with a histogram." is True, because histograms are often used to graphically represent the distribution of a discrete random variable.
In a histogram, the x-axis represents the different possible values of the discrete random variable, and the y-axis represents the probability or frequency of observing each value. The bars in the histogram represent the probabilities or frequencies of the different values, and the height of each bar corresponds to the probability or frequency.
Note that for a discrete random variable, the PDF is actually a probability mass function (PMF), which gives the probability of each possible value of X. However, the histogram can be used to represent the PMF by scaling the heights of the bars appropriately so that they represent probabilities rather than frequencies.
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After a 20% discount, the price of an article is 6800$. What is the original price of the article?
Answer:
The total of the discount would be 1,360.
Step-by-step explanation:
If a 6,800$ item had a 20% discount, subtract 6,800 by 20 in percentage, therefore the result would be 1,360 in discount.
A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.
a) When performing an ANOVA with this data, what is the alternative hypothesis?
- All of the restaurants have different mean delivery times
- At least two of the restaurants have different mean delivery times
- Two of the restaurants have different mean delivery times
- One of the restaurants has a different mean delivery time than the others
b) A partial ANOVA table for his data is shown below. What is the value of B?
Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977
What is the value of C in the ANOVA table?
d) What is the value of D in the ANOVA table? Give your answer to three decimal places.
e) What is the value of E in the ANOVA table? Give your answer to three decimal places.
f) What is the value of F in the ANOVA table? Give your answer to two decimal places.
g) What is the value of G in the ANOVA table? Give your answer to four decimal places.
h) Using a 0.1 level of significance, what should his conclusion be in this case?
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.
- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.
- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.
(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.
(b)75.8
Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.
It is given that a pizza lover wants to compare the average delivery times.
Therefore the null hypothesis and alternate hypothesis implies that,
H₀ = all restaurants have equal mean delivery time
Hₐ = at least two restaurants have different two deliveries
Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.
The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.
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A radioactive substance decays exponentially. A scientist begins with 350 milligrams of a radioactive substance. After 14 hours, 175 mg of the substance remains. How many milligrams will remain after 20 hours
Answer:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Step-by-step explanation:
N(t)=N∗.5t/h where n(t) is amount of substance left, N = initial amount, t = current time, and h = half-life time.h = 24 hours t= 45 hours, N = 130mg
therefore, N(t)=130∗.545/24=35.44mg
Answer:
≈ 130 mg
Step-by-step explanation:
This is about the half-life of the substance.
There is a formula for this kind of calculations:
N(t)= N₀*(0.5)^(t/T), where
N(t) = substance left after time period of t,t = time passed,N₀ = initial amount of the substance,T = hal-life time of the given substance.In our case, we have:
N₀ = 350 mg,t= 20 hours,T = 14 hours as half of substance decays during this time period,And the calculation:
N(20)= 350*(0.5)^(20/14)N(20) ≈ 130 mgAnswer: about 130 mg of substance remains after 20 hours
on a number line, √234 falls between which two numbers?
Answer:
15 and 16
Step-by-step explanation:
sqrt(234) = 15.297
which falls between 15 and 16
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Answer: x - 7
Step-by-step explanation:
f(x) = -3x - 5
g(x) = 4x - 2
Solve:
f(x) + g(x)
= -3x - 5 + 4x - 2
= x - 5 - 2
= x - 7
What is the following quotient square root 6 + square root 11/ square root 5 + square root 3
Answer:
6.382219183
Step-by-step explanation:
If you put it in a calculator it tells you :/
Answer:
6.382219183
Step-by-step explanation:
FInd the 17th term of the following sequence,2,4,6,8,16
the 17th term of the following sequence which is an AP 2,4,6,8,16 is 34.
The difference between any two successive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. For instance, the natural number sequence 1, 2, 3, 4, 5, 6,... is an example of an arithmetic progression. We can see that the common difference between two subsequent words will be equal to 2 in both the case of odd and even numbers.
The given sequence is an AP
as the difference between two number is same,
d= 2
a=2
n=number of terms=17
Now, by using the formula
nth term=a+(n-1) x d
Now, put the values in the formula
nth term=2+(17-1) x 2
nth term=2+16 x 2
nth term=2+32
nth term=34
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The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
31.5 36.0 37.8 38.5 40.1 42.234.2 36.2 38.1 38.7 40.6 42.534.7 37.3 38.2 39.5 41.4 43.435.6 37.6 38.4 39.6 41.7 49.3
(a) Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers?
Answer:
Explained below.
Step-by-step explanation:
The data provided is as follows:
S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}
Compute the mean and standard deviation as follows:
\(\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61\)
(a)
Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:
\(z=\frac{X-\mu}{\sigma}\)
\(=\frac{32.3-38.88}{3.61}\\\\=-1.823\)
Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.
(b)
The data set arranged in ascending order is:
S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}
The set consists of 24 values.
The first and third quartile are:
\(Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41\)
Thus, the value of Q₁ is 36.75 and Q₃ = 41.
(c)
Compute the inter-quartile range as follows:
\(IQR=Q_{3}-Q_{1}=41-36.75=4.25\)
The inter-quartile range is 4.25.
The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.
(d)
Compute the values of lower and upper fences as follows:
\(\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38\)
Any values that are less than the lower fence or more than the upper fence are considered as outlier.
Consider the arranged data set.
Only one value is more than the upper fence, 47.38, i.e. 49.3.
So, yes there is one outlier, i.e. 49.3.
cut all 6 colored sections as well as non colored sections. connect each section in an opposite section, what shape is formed?
The shape that is formed when the sections are cut is a triangle.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles.
In this case, we can see that each section is triangular. The sum of the angles of a triangle is always 180 degrees.
Therefore, the shape that is formed when the sections are cut is a triangle.
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Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = \(\frac{16}{3}\)
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
\(\frac{6}{6+12}\) = \(\frac{x}{16}\) , that is
\(\frac{6}{18}\) = \(\frac{x}{16}\) ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = \(\frac{96}{18}\) = \(\frac{16}{3}\)
Find the area of the shape shown below.
24
25
8
units?
HELP
Answer:
hope this is correct
Answer:
108
Step-by-step explanation:
ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages
Answer:
Their present ages are 12 years and 16 years.
Step-by-step explanation:
Given that,
Ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5.
Let their present age is 3x and 4x.
Ages after four years from now will be:
\(\dfrac{3x+4}{4x+4}=\dfrac{4}{5}\\\\5(3x+4)=4(4x+4)\\\\15x+20=16x+16\\\\20-16=16x-15x\\\\x=4\)
So,
Raju's present age is 3(4) = 12 years
Ravi's present age is 4(4) = 16 years
it is used to predict the outcome of a variable of interest based on the value of a categorical variable.
The statistical technique used to predict the outcome of a variable of interest based on the value of a categorical variable is called logistic regression.
Logistic regression is a commonly used method when the dependent variable is binary or categorical. It allows us to estimate the probability of an event occurring based on one or more independent variables. The dependent variable, also known as the outcome or response variable, typically takes on two values (e.g., success/failure, yes/no).
To perform logistic regression, we use a mathematical function called the logistic function or sigmoid function, which maps any real-valued number to a value between 0 and 1. The logistic function is defined as:
P(Y=1) = 1 / (1 + e^-(β₀ + β₁X₁ + β₂X₂ + ... + βₖXₖ))
Where:
- P(Y=1) represents the probability of the event occurring.
- β₀, β₁, β₂, ..., βₖ are the coefficients to be estimated.
- X₁, X₂, ..., Xₖ are the independent variables.
To estimate the coefficients, various techniques such as maximum likelihood estimation or gradient descent can be used.
Logistic regression is a powerful statistical technique used to predict the outcome of a variable of interest based on the value of a categorical variable. By estimating the probabilities using the logistic function, we can assess the relationship between the independent variables and the likelihood of an event occurring. Logistic regression provides insights into the impact and significance of the categorical variable on the outcome, enabling prediction and inference in a wide range of fields such as medicine, marketing, and social sciences.
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I NEED HELP PLS HELP!!
Answer:
no solution
Step-by-step explanation:
the lines are parallel so they never touch, this means that there is no solution
Anybody please help I just have 2 minutes I’ll mark you Brainly
Answer:
20.5730406
Step-by-step explanation:
a theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let represent the cost of 1 adult ticket, and represent the cost of 1 child ticket. which system of equations can be used to determine the cost of each type of ticket? a. b. c. d.
The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
In the question ,
it is given that ,
a theater sells adult and child tickets for its play .
the cost for 2 adult ticket and 3 child ticket is = $30.75
and the cost for 3 adult tickets and 2 child tickets = $33.00
let the cost of 1 adult ticket = "a" and
let the cost of 1 child ticket = "c"
So, According to the question ,
the equation to represent both the situation is
2a + 3c = 30.75 and
3a + 2c = 33
Therefore , The system of equations that can be used to represent the cost of each type of ticket is 2a + 3c = 30.75 and 3a + 2c = 33 .
The given question is incomplete , the complete question is
A theater sells adult and child tickets to its plays. 2 adult tickets and 3 child tickets cost $30.75. 3 adult tickets and 2 child tickets cost $33.00. let "a' represent the cost of 1 adult ticket, and "c" represent the cost of 1 child ticket . Write a system of equations can be used to determine the cost of each type of ticket ?
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24-25 please help I don’t understand what to do
what's the difference between whole numbers and integers
Answer:
Whole numbers cannot include negative numbers. Integers are whole number and they can have negative whole numbers.
Step-by-step explanation:
how many positive integers are bigger than -3 and smaller than 5?
Answer:
4
Step-by-step explanation:
1,2,3,4
help help help plz i suck at this
Answer:
it is option A
Step-by-step explanation:
using formula
270 degree/360 degree*pie*(r)^2
Given a=−4 and r=2 in a geometric sequence, find T
3
,T
8
,T
n
. Consider the series −3,15,−75… - Find a: - Find r, the common ratio: - Find the 11
th
term of the sequence: 1. Find the sum of the terms of the series 36,24,16,… 2. The limiting sum of a series is 36. If a=8, find the value of r. 3. A ball is dropped from 4 m and bounces back to 3/4 of its previous height. If it continues to bounce until comes to rest, what is the total distance the ball falls?
the sum of the terms of the series 36, 24, 16..., we can use the formula for the sum of an infinite geometric series is is -36,The limiting sum of a series is 36. If a = 8, we can find the value of r using the formula for the sum of an infinite geometric series is 7 / 9 and the total distance the ball falls is 16 meters.
Given a=−4 and r=2 in a geometric sequence, we can find the values of T3, T8, and Tn by using the formula for the nth term of a geometric sequence:
\(Tn = a * r^(n-1)\)
To find T3:
T3 = -4 * 2^(3-1)
T3 = -4 * 2^2
T3 = -4 * 4
T3 = -16
To find T8:
T8 = -4 * 2^(8-1)
T8 = -4 * 2^7
T8 = -4 * 128
T8 = -512
To find Tn, we need to know the value of n. Please provide the value of n to calculate Tn.
Now, let's move on to the series -3, 15, -75...
To find the common ratio (r), we can divide any term by its previous term. Let's use the second and first terms:
r = 15 / (-3)
r = -5
To find the first term (a), we can use the second term and the common ratio:
-3 = a * (-5)
a = -3 / (-5)
a = 3/5
Now, let's find the 11th term of the sequence:
T11 = a * r^(11-1)
T11 = (3/5) * (-5)^10
T11 = (3/5) * 9765625
T11 = 5859375/5
T11 = 1171875
Moving on to the next question:
1. To find the sum of the terms of the series 36, 24, 16..., we can use the formula for the sum of an infinite geometric series:
Sum = a / (1 - r)
Since this is an infinite series and the common ratio (r) is less than 1 in absolute value, the sum is finite. So, we can find the sum using the given values:
Sum = 36 / (1 - 2)
Sum = 36 / (-1)
Sum = -36
2. The limiting sum of a series is 36. If a = 8, we can find the value of r using the formula for the sum of an infinite geometric series:
Sum = a / (1 - r)
Substituting the given values:
36 = 8 / (1 - r)
Solving for r:
36(1 - r) = 8
36 - 36r = 8
36r = 36 - 8
36r = 28
r = 28 / 36
r = 7 / 9
3. A ball is dropped from 4 m and bounces back to 3/4 of its previous height. If it continues to bounce until it comes to rest, we need to find the total distance the ball falls.
The first fall from 4 m is straightforward, so the distance fallen is 4 m. For each subsequent bounce, the ball reaches 3/4 of its previous height, so the distance fallen decreases by a factor of 3/4 each time.
The total distance fallen can be calculated using the formula for the sum of an infinite geometric series:
Distance = a / (1 - r)
Substituting the given values:
Distance = 4 / (1 - 3/4)
Simplifying:
Distance = 4 / (1/4)
Distance = 4 * 4
Distance = 16 m
Therefore, the total distance the ball falls is 16 meters.
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pls give explanation and steps ik it equals zero
f(5)=-(5)^3+7(5)^2-7(5)-15
Answer:
0 (as you already know)
Step-by-step explanation:
First we will simplify both sides of this equation:
5f = -125 + 175 + -35 + -15
Now we are going to Combine Like Terms:
5f = (-125 + 175 + -35 + -15)
5f = 0
Divide both sides by 5
5f / 5 = 0 / 5
F = 0
Hope this helps
the peak value of a sine wave is 80 vac. what is the peak-to-peak value of this waveform?
40V, 120V, 60V, 160V
Answer:
40V
Step-by-step explanation:
If the peak value of a sine wave is 80 vac. The peak-to-peak value of this waveform is: D. 160V.
What is the Peak-to-peak value?The difference between a sine wave's positive and negative peaks is known as the sine wave's peak-to-peak value. The negative peak value, which has the same magnitude but the opposite sign as the positive peak value (80V), will be expressed as -80V.
So,
Peak-to-peak value is:
Peak-to-peak value = Positive peak value - Negative peak value
Peak-to-peak value = 80V - (-80V)
Peak-to-peak value = 80V + 80V
Peak-to-peak value = 160V
Therefore, the peak-to-peak value of this waveform is 160V.
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Hi,please help !
(see image)
Answer:
a = c + 16
Step-by-step explanation:
We have the following two equations:
a = b + 12 [1]
b = c + 4 [2]
Substitute c + 4 for b in equation [1]:
a = b + 12
a = (c + 4) + 12
a = c + 4 + 12
a = c + 16
This is the relationship between a and c
Maria is ordering comic books online. The equation y = 5x + 10 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If Maria's total cost including shipping is $50, how many comic books did she order?
Answer: X = y/5 - 2
Step-by-step explanation:
HELP PLESE GET IT RIGHT
Answer:
7/24
Step-by-step explanation:
this is a very simple problem, you just multiply the fraction by 1/2 to get 7/24
Answer:
0.2916 ; 7/24
Step-by-step explanation:
It's division what is so hard
Answer two questions about Equations A and B:A. 2x-1=5xB -1=3x1) How can we get Equation B from Equation A?
The Solution.
Step 1:
We shall write out the two equations.
\(\begin{gathered} 2x-1=5x\ldots\text{eqn(A)} \\ -1=3x\ldots eqn(B) \end{gathered}\)Step 2:
We shall subtract 2x from both sides of equation A to obtain equation B.
\(\begin{gathered} 2x-1=5x \\ \text{Subtracting 2x from both sides, we get} \\ 2x-1-2x=5x-2x \\ -1=3x\text{ (equation B)} \end{gathered}\)St