Answer: -1
Step-by-step explanation:
Multiply -3 to (1+6r)
-3 - 18r = 14 - r
Then, group like terms and change the signs
-18r + r = 14 + 3
Add
-17r = 17
Divide 17 by 17 to solve for r
r = 17/-17
r = -1
there are a cup of milk and a cup of water. take one teaspoon of milk, put into the water cup; mix well. take one teaspoon of the mixture in the water cup and put into the milk cup then mix well. which is higher: the percentage of water in the milk cup or the percentage of milk in the water cup ?
The percentage of water in the milk cup and the percentage of milk in the water cup are same.
What is milk?
A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.
Given:
There are a cup of milk and a cup of water.
Take one teaspoon of milk, put into the water cup; mix well.
Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.
Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.
When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.
And the percentage of milk cup are 'q - 1'.
Again one teaspoon of mixture in the water cup put into the milk cup.
So, the percentage of milk cup are, q - 1 + 1 = q.
And the percentage of water cup are p + 1 - 1 = p.
The percentage will be same for both milk cup and water cup.
Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.
To know more about milk, click on the link
https://brainly.com/question/210119
#SPJ4
A survey was conducted to investigate whether alcohol consumption and smoking are related. In a random
sample of 300 smokers, 196 said they had consumed alcohol at least once in the past week. In an
independent random sample of 300 non-smokers, 159 said they had consumed alcohol in the past week. If
P, is the proportion of smokers in the population who have had a drink in the past week and P is the
corresponding proportion of non-smokers, then a test of the hypotheses H, P, -P-0 against the two-sided alternative produces a test statistic of z=3.07 and a P-value of 0.002. If we had instead analyzed these results with a chi-square test of homogeneity, which of the following would be the test statistic and P-value?
a-942, P-value = 0.002
b. -942, P-value-0.004
-3.07, P-value - 0.004
d. -1.75, P-value = 0.002
e-1.75, P-value=0.004
e) The test statistic and P-value for the chi-square test of homogeneity would be -1.75 and 0.004, respectively.
A chi-square test of homogeneity is a useful tool for comparing two or more categorical variables. In this case, the two variables are smoking (smokers and non-smokers) and alcohol consumption (those who had consumed alcohol in the past week and those who hadn't).
The chi-square statistic is calculated by finding the difference between the observed and expected frequencies of the two groups and squaring it. The expected frequencies are found by multiplying the sample size by the overall probability of success (in this case, drinking alcohol).
The P-value is then calculated based on the chi-square statistic and the degrees of freedom (in this case, one). In this case, the chi-square statistic is -1.75 and the P-value is 0.004.
For more questions like P-value click the link below:
https://brainly.com/question/14790912
#SPJ4
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
Find the 5 times the difference of 22 and 16 added to 5 multiplied by the sum of 10 and 8.
Answer:
120
Step-by-step explanation:
5(22-16) + 5(10+8)
5(6) + 5(18)
30 + 90
120
Find the particular solution of y(9x−2y)dx−x(6x−y)dy=0., when x=1,y=1. Let x=vy
To find the particular solution of the given differential equation y(9x - 2y)dx - x(6x - y)dy = 0, we can use the substitution x = vy.
Let's begin by differentiating both sides of the equation with respect to x to obtain dx in terms of dy:
dx = (1/v + vdy)dy.
Now we substitute the expressions for dx and x in the original equation:
y(9vy - 2y)((1/v + vdy)dy) - (vy)(6vy - y)dy = 0.
Simplifying the equation:
y(9v - 2y)(1/v + vdy)dy - (vy)(6v^2 - y)dy = 0.
Expanding and collecting like terms:
(9v^2y - 2y^2 + 9vy^2dy - 2y^3dy) / v + (6v^3y - vy^2)dy = 0.
Now we can separate the variables and integrate:
(9v^2y - 2y^2) / v + (6v^3y - vy^2) = C,
where C is the constant of integration.
Finally, substituting x = vy, we get:
(9x - 2y^2) / x + (6x^2 - xy) = C.
Given the initial condition x = 1 and y = 1, we can substitute these values into the equation and solve for the constant C.
To learn more about differential equation: -brainly.com/question/33433874
#SPJ11
Diameter = 18 cm
What is the area of the given circle? Use 3.14 for it.
A)
56.52 cm2
B)
254.34 cm2
C)
324.09 cm2
D)
1017.36 cm2
Answer: B. 254.34 cm^2
Step-by-step explanation:
The area of a circle is pi times the radius squared.
Using the diameter we have to find the radius.
The diameter is two times the radius meaning that the radius is half the diameter.
18/ 2 = 9
The radius will be 9 cm
Now using the formula v= pi * r^2 , input the value for pie and the radius and solve for v the volume
v = 3.14 * 9^2
v= 3.14 * 81
v = 254.34 cm^2
Answer:
The answer would be B) 254.34 cm2
Step-by-step explanation:
Which formula below is used to find the volume of a shape?
A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
What is the difference between a matrix and a determinant?
Answer:
Step-by-step explanation:
A matrix is a set of numbers organized in rows and columns to represent the variables in a situation, and the determinant is used to find the inverse of a matrix which helps you solve for different variable values.
Answer: A matrix or matrices is a rectangular grid of numbers or symbols that is represented in a row and column format. A determinant is a component of a square matrix and it cannot be found in any other type of matrix. ... A determinant is a number that is associated with a square matrix.
Step-by-step explanation:
?×3/4=-6
what does ? equal
please answer asap
Answer:
-8
Step-by-step explanation:
The lines graphed below are perpendicular. The slope of the red line is 4. What is the slope of the green line?
Answer:it's c
Step-by-step explanation:
It's - -1/4
Answer:
-1/4
Step-by-step explanation:
just did it
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in simplest form.
Answer:
Step-by-step explanation:
x1=7 ,y1=-4 ,x2=7 ,y2=0
By using Two-points form:
\(\frac{y-y_{1}}{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2}-x_{1} }\)
Substitute values:
\(\frac{y+4}{0+4} =\frac{x-7}{7-7}\)
\(\frac{y+4}{4} =\frac{x-7}{0}\)
4(x-7)=0(y+4)
4(x-7)=0
x-7=0
x-7=0 is the line parallel to y-axis at point x=7.
If you need to ask any question, please let me know.
Using the following data, determine if the normal distribution gives a reasonable approximation: 71 42 77 84 46 93 94 63 82 88 57 32 79 67 68 83 60 65 58 70 Calculate the mean and standard deviation for these data using the appropriate equations. Compare these values to those you would get from the distribution line that you draw through the data by eye.
Hi, I'm glad to help you with this question. To determine if the normal distribution gives a reasonable approximation using the given data, we need to calculate the mean and standard deviation. Here are the steps:
1. Calculate the mean (average): Add all the data points together and divide by the number of data points.
(71+42+77+84+46+93+94+63+82+88+57+32+79+67+68+83+60+65+58+70) / 20 = 1380 / 20 = 69
Mean = 69
2. Calculate the standard deviation: First, find the difference between each data point and the mean, square the differences, and then find the average of those squared differences. Finally, take the square root of that average.
a. Differences from the mean: (-2, 27, 8, 15, -23, 24, 25, -6, 13, 19, -12, -37, 10, -2, -1, 14, -9, -4, -11, 1)
b. Squared differences: (4, 729, 64, 225, 529, 576, 625, 36, 169, 361, 144, 1369, 100, 4, 1, 196, 81, 16, 121, 1)
c. Average of squared differences: (4520) / 20 = 226
d. Square root of the average: √226 ≈ 15.03
Standard Deviation ≈ 15.03
Now that we have the mean (69) and the standard deviation (15.03), you can compare these values to the distribution line that you draw through the data by eye. If the distribution line follows a bell-shaped curve with the mean at the center and the data points spread around it following the standard deviation, then the normal distribution provides a reasonable approximation for this data set.
#SPJ11
Standard deviation:https://brainly.com/question/475676
how to find the least common multiple using prime factorization
To find the least common multiple (LCM) of two or more numbers using prime factorization, follow these steps:
Prime factorize each number into its prime factors.
Identify all the unique prime factors across all the numbers.
For each prime factor, take the highest exponent it appears with in any of the numbers.
Multiply all the prime factors raised to their respective highest exponents to find the LCM.
For example, let's find the LCM of 12 and 18 using prime factorization:
Prime factorization of 12: 2^2 × 3^1
Prime factorization of 18: 2^1 × 3^2
Unique prime factors: 2, 3
Highest exponents: 2 (for 2) and 2 (for 3)
LCM = 2^2 × 3^2 = 4 × 9 = 36
So, the LCM of 12 and 18 is 36.
Using prime factorization to find the LCM is efficient because it involves breaking down the numbers into their prime factors and then considering each prime factor's highest exponent. This method ensures that the LCM obtained is the smallest multiple shared by all the given numbers.
To know more about least common multiple (LCM) click here: brainly.com/question/17256135
#SPJ11
i was hopping for help on the photo attached above asap
In this problem, we are comparing the length of the Crazy Ant to the length of the Green anole.
Since we want to know how many times greater than anole is compared to the ant, we can use division to help us:
\(\text{ Crazy Ant}\times\text{ something}=\text{ Green Anole}\)To find this, we can simply divide the Green Anoze's length by the Crazy Ant's length
\(\frac{\text{ Green Anole}}{\text{ Crazy Ant}}=\frac{6}{\frac{3}{32}}\)Rewriting this, we have
\(6\div\frac{3}{32}\)Using fraction division, we get
\(6\div\frac{3}{32}=6\times\frac{32}{3}\)Now we can cross cancel 6 and 3:
\(\cancel{6}2\times\frac{32}{\cancel{3}}=2\times32\)Simplify:
\(2\times32=64\)So, the correct answer is I. 64.
Keisha took a 5-mile walk at the park in saturday how many kilometers did Keisha walk?
what is the answer to 4w^4+w^4+3w^2-2w^2
Answer: 5w⁴ + w²
Step-by-step explanation: Pic is attached. Hope this helps. Sorry for bad handwriting, Im writing with a mouse.
An isosceles triangle has an angle that measures 118°. Which other angles could be in that isosceles triangle? Choose all that apply. a 69° b 31 c 118 d 54
Answer:
b. 31.
Step-by-step explanation:
The other 2 angles in the triangle are congruent so they are:
(180 - 118) / 2
= 31 degrees.
The possible measure of two similar angles in an isosceles triangle could be b. 31 °
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.
We also know that the sum of all the interior angles in a triangle is 180°.
Let, The similar angles be 'x'.
Therefore,
x + x + 118 = 180
2x = 62.
x = 31°.
learn more about the isosceles triangle here :
https://brainly.com/question/2456591
#SPJ2
Find the median of the data.
24,74,61,29,38,27,68,54
Answer:
See explanation for answer.
Step-by-step explanation:
The median of ( 24,74,61,29,38,27,68,54 ) is 46. The mean of
( 24,74,61,29,38,27,68,54 ) is 46.875.
I hope this helps!
Have a great day!
If the data set is 24, 74, 61, 29, 38, 27, 68, 54. Then the median of the data set will be 46.
What is a median?The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.
The data set is given below.
24, 74, 61, 29, 38, 27, 68, 54
Arrange in ascending order, then we have
24, 27, 29, 38, 54, 61, 68, 74
Then the median will be given as
\(\rm Median = \dfrac{\dfrac{n}{2} + \dfrac{n }{2} + 1}{2}\)
Where n be the number of the terms.
we have n = 8, then
\(\rm Median = \dfrac{\dfrac{8}{2} + \dfrac{8}{2} + 1}{2}\)
Median = (4 + 5)/2
Median = (38 + 54)/2
Median = 92/2
Median = 46
More about the median link is given below.
https://brainly.com/question/300591
#SPJ2
plss hurry For a brainlist Please help:)
Determine the graph of the function f(x)=3^x−4
Answer:
It is D
Step-by-step explanation:
The equation of the horizontal asymptote is y = − 4 .Horizontal Asymptote: y = - 4
dr. aguilera conducts psychological research that examines factors associated with college student academic performance. she administered a survey to 127 participants from her university’s student subject pool. in the survey, she asked students to report their current college grade point average (gpa). dr. aguilera also asked questions about sleeping, eating habits, and social media use.
According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.
we are able to reach this end due to the fact:Dr. Aguilera determined a main significance in the relationship among anxiety and academic success.moreover, this quantity is terrible, indicating a poor dating between these variables.consistent with this bad connection, the greater the value of one variable, the lower the fee of the opposite. As a result, the extra anxiety, the decrease the educational achievement.The phrase "correlation" refers back to the hyperlink between two variables. As a end result, if the adjustment is equal to zero, there may be no link between the two variables.The association among sleep hours and educational fulfillment became nil. this means that those elements have no effect on each other and are unrelated.it is important to word that the operational definition of this test is big since it presentations the measurements utilised to acquire the findings in addition to the general control of the test.nevertheless, the cohort impact is important for averting hurdles to size and research methodologies.To learn more about the cohort effect, visit :
brainly.com/question/7580591
#SPJ4
Delilah needs to design boxes with a volume of 21x^{2} +14x-35. The dimensions of the product within the boxes restrict the length of the boxes to 7 and the height of the boxes to x-1. What will be the width of the boxes?
a) 3x^{2}+2x-5
b) 2x+35
c) 2x-35
d) 3x-5
e) 3x+5
Answer:
(e) 3x +5
Step-by-step explanation:
You want the width of a box if its volume is 21x² +14x -35, its length is 7, and its height is x-1.
FactorsThe volume can be factored as ...
21x² +14x -35 = 7(3x² +2x -5) = 7(3x +5)(3x -3)/3 = 7(x -1)(3x +5)
The volume is the product of length, width, and height. If length and height are 7 and (x-1), then width is the remaining factor: 3x +5.
The width of the boxes is 3x +5.
<95141404393>
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
.
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping.
• 1/2of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips.
• 3/10are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
Help me fast I need it please
Answer:lakeside 8
Jungle 31
Desert 40
Coast 21
Step-by-step explanation:
Take each one respectively and divide by the total number of people (30,000)
A restaurant paid $112 for a piece of equipment after having been given a 20% discount. What was the original price of the equipment?
which graph represents the solution to the inequality y<1/2x-4
The graph shown in option (B) represents the solution to the inequality y<1/2x-4
InequalityA relation between two mathematical expressions which are not equal is known as inequality.
Graphing inequalitiesFirst, solve the given inequality so that y is on the left side and everything else is on the right side.Then, plot the graph for the equation.Finally, we will shade above the line for the ">" and below the line for the "<".Which graph represents y < 1/2x-4?The inequality symbol is "<" (less than).
So, the line of the graph should be dashed and shaded below the line.
Comparing the graphs given in the question, we can conclude that option (B) is correct.
Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.
Learn more about graphing inequality here - https://brainly.com/question/17136458
#SPJ2
Answer:
B aka y<1/2x-4
Step-by-step explanation:
I did this before
Mora borrowed $4,830 from her mom. She agreed to pay a small amount each day until her debt is paid off. If she agreeed to pay $42 each day, how long will it take Mora to pay her mom back in full?
Answer:
115 days, untill she has payed her mom the full amount. plz pick me as the brainleist! XD
Step-by-step explanation:
Find the value of x if Y is between X and Z. XY=4x, YZ=3x, and XZ=42
please write the procedure
Answer:
x = 6
Step-by-step explanation:
Given:
XY = 4x
YZ = 3x
XZ = 42
Find:
Value of x
Computation:
XZ = XY + YZ
42 = 4x + 3x
42 = 7x
x = 42 / 7
x = 6
imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year. which explanation for this result seems most likely?
Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.
There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.
However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:
1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.
Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.
2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.
This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.
3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.
Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.
4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.
It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.
To know more about surveys refer here:
https://brainly.com/question/31685434#
#SPJ11
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Evaluate each algebraic expression for the given values.
1. 9.8t^2 + 20t + 8 for t = -2, 0, 3.5
2. -3(2.1x - 7.9) for x = -18.1, -0.3, 14.4
The numeric values for each of the expressions are given as follows:
1. 9.8t² + 20t + 8:
t = -2: 7.2.t = 0: 8.t = 3.5: 198.05.2. -3(2.1x - 7.9):
x = -18.1: 137.73. x = -0.3: 25.59x = 14.4: -67.02.How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
Then the numeric values are given as follows:
1. 9.8t² + 20t + 8:
t = -2: 9.8(-2)² + 20(-2) + 8 = 7.2.t = 0: 8. 9.8(0)² + 20(0) + 8 = 8.t = 3.5: 9.8(3.5)² + 20(3.5) + 8 = 198.05.2. -3(2.1x - 7.9):
x = -18.1: -3 x (2.1(-18.1) - 7.9) = 137.73.x = -0.3: -3 x (2.1(-0.3) - 7.9) = 25.59.x = 14.4: -3 x (2.1(14.4) - 7.9) = -67.02.Learn more about the numeric values of a function at brainly.com/question/28367050
#SPJ1