State the practical meaning of the slope and y-intercept for the situation described.
The cost, in dollars, of cellular phone service with Econo-phone is given by C = 0.18x + 14.55, where x is the number of minutes used in one month.
a.
0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge.
c.
14.55 signifies the cost per minute, and 0.18 signifies the monthly service charge.
b.
0.18 signifies the hourly phone rent, and 14.55 signifies the cost of the hardware.
d.
14.55 signifies the total phone bill, and 0.18 signifies the number of minutes used.
Answer:
I would think its A
Step-by-step explanation:
Im not sure
Answer:
its a
Step-by-step explanation:
i just did it
Isabel will only consume chocolate bars and glasses of milk in a ratio of 3-to-1, meaning whenever she has 3 chocolate bars, she also has 1 glass of milk. 2nd attempt Isabel currently has 6 chocolate bars and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Isabel currently has. Items (5 items) (Drag and drop into the appropriate area below) More Preferred Less Preferred Equally Preferred (9 chocolate bars, 1 glass of milk) (6 chocolate bars, 3 glasses of milk) (9 chocolate bars, 3 glasses of milk) (3 chocolate bars, 2 glasses of milk) (9 chocolate bars, 2 glasses of milk)
The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).
The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.
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Determine whether the following study is an observational study or an experiment. If the study is an experiment, identify the control and treatment groups, and discuss whether single- or double-blinding is necessary. If the study is observational, state whether it is a case-control study, and if so, identify the cases and controls.
In a study of the effects of magnets on back pain, some participants were treated with magnets while others were given nonmagnetic objects with a similar appearance. The magnets did not appear to be effective in treating back pain. Choose the correct answer below.
A. Experiment, the treatment group is patients that used the magnets and the control group is patients that received the placebo; double blind
B. Observational study; case control; the cases are the patients that received magnets, the controls are the patients that received placebos
C. Observational study; not case-control
D. Experiment, the treatment group is all patients and the control group is patients that received the magnets; single blind
Answer:
A. whether a woman took hormones.
B. whether to woman in the study had a heart attack.
D. access to health care
Step-by-step explanation:
The study conducted to observe the menopausal woman must be supported with their health history. Some woman may have menopause at an early age while other go towards this at a later age. This can be due to smoking, hormone intake, severe diseases like heart attack or cancer and their routine health checkup details. There variables must be observed and included in experiment to reach a conclusion.
the product of x and y squared
Answer:
(xy)^2
Step-by-step explanation:
If your base pay is 10000 your commission rate is 40% you sell 15 cars and you earn 40000 how much does each car cost
Answer: $4,000
Step-by-step explanation:
If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.
Since the commission rate is 40%, we can set up the equation:
40% x Total Sales = Commission Earned
We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:
40% x Total Sales = Commission Earned
40% x (15 x Price per Car) = $30,000
6 x Price per Car = $30,000
Price per Car = $5,000
However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:
Commission per Car = 40% x Price per Car
Commission per Car = 40% x $5,000
Commission per Car = $2,000
Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:
Amount earned per Car = Total Earnings / Number of Cars Sold
Amount earned per Car = $40,000 / 15
Amount earned per Car = $4,000
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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b.
3n+l -3n+2
Simplify:
3n+3 + 3n+4
Answer:
Simplified: 6n+7
Explanation:
Combine like terms
(3n+3n)=6n
(3+4)=7
if a=3 and B=-1, what is the value of ab-b^2?
Answer:
-4
Step-by-step explanation:
I used my smarts
H
6:00 PM
What is a frostbite?
HELP!!! i already found x, can someone please help me find y asap?
Answer:
Y = 166
Step-by-step explanation:
The missing angle measure in the small trapezoid is 93 degrees. So to solve for “y” you have to make the expression equal to 93.
y - 73 = 93
y = 166
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The distances between Dry Gulch, Wet Creek, and Soggy River can be represented by a triangle.
The distance between Dry Gulch and Wet Creek is 530 miles and the distance between Dry Gulch and Soggy River is 721 miles. Circle ALL the possible distances below between Wet Creek and Soggy River: SHOW YOUR WORK
The distance between Wet Creek and Soggy will be 894.03 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.
The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.
The distance between Wet Creek and Soggy will be given as,
d² = 530² + 721²
d² = 280,900 + 518,400
d² = 799,300
d = 894.03 miles
The distance between Wet River and Soaked will be 894.03 miles.
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Given that the points (-32, - 10) and (-74, 11) lie on a line, what is the
equation of the line?
The equation of the line is:
\(y=\frac{-1}{2}x-26\)
The point-slope equation of a line is given as:
\(y-y_1=m(x-x_1)\)
where m represents the slope, and is calculated as:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
For the line passing through the points (-32, - 10) and (-74, 11)
\(x_1=-32, y_1=-10, x_2=-74, y_2=11\)
Substitute these points into the slope formula to get the slope of the line
\(m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}\)
Substitute \(m=\frac{-1}{2}, x_1=-32, y_1=-10\) into the line equation
\(y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26\)
The equation of the line is:
\(y=\frac{-1}{2}x-26\)
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A college basketball game is 40 minutes long. Derrick’s favorite player participated for 60% of last week’s game. How many minutes did the player participate? Help me pleaseeee!
Answer:
24 minutes
Step-by-step explanation:
1. Turn it into an equation.
60% of 40
2. Create a proportion.
x/40 = 60/100
3. Cross multiply
40 x 60 = 2400
x x 100 = 100x
4. Divide
2400/100x = 24x
Question 4
Find value of x.
25,
g
A
195
Since the value of y varies directly with x, the value of x when y equals 9 is 9/13
Given the following data:
x = 195
y = 15
To find the value of x when y = 9:
This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.
First of all, we would determine the constant of proportionality (k) for the mathematical expression.
y = kx
15 = 195k
k = 13
Now, we can find x:
y = kx
9 = 13 x
x = 9/13
Therefore, the value of x when y equals 9 is 9/13
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complete question:
The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?
5.5 + n = 10 please help
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is
Answer:
24 steps
Step-by-step explanation:
Given
\(Step\ 1 = 4\)
\(Step\ 2 = 3\)
\(Step\ 3 = 2\)
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
\(n = Step\ 1 * Step\ 2 * Step\ 3\)
\(n = 4*3*2\)
\(n = 24\)
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Anthony has sold 1 1/5 of a box full of Boy Scout cookies for his troop. His sister Anna has sold 9/10 of a box full of Girl Scout cookies. Who has sold more cookies?
Answer:you can find out
Step-by-step explanation:
Turn 1 1/5 into a mixed number and then draw both fractions as circle or pi charts and fill in the amount of spaces to equal the fraction.
Its 1 1/5 :)
Need it now. I'll give you another 100 when done if all i right.
This it the test please do as fast as posible and show work. thank you and sorry
Help me pleasee! I dont understand this!
The anticoagulant warfarin is often used as a pesticide against house mice, Mus musculus. Some populations of the house mouse have acquired a mutation in the vkorc1 gene from hybridizing with the Algerian mouse, M. spretus (Song et al. 2011). In the Algerian mice, this gene confers resistance to warfarin. In a hypothetical follow-up study, researchers collected a sample of house mice to determine whether presence of the vkorc1 mutation is associated with warfarin resistance in house mice as well. They fed warfarin to all the mice in a sample and compared survival between the individuals possessing the mutation.
a. Identifiy the two variables measured in the study and indicate which is the explanatory and which is the response variable.
i. Explanatory:
ii. Response:
b.Identify the scales on which each of the two variables is quantified (nominal, ordinal, inteval, ratio).
c. What do you think was the intended target population for the study? Why?
d. Do you consider the follow up study to be a manipulative experiment or an observational experiment? Explain.
e. Do you think the researchers used a random sample? Explain.
Solution :
Response variable is the variable whose value is to be predicted or the value is influenced. It is also known as the dependent variable. While the variable which affects the values and is used for the prediction is known as the explanatory variable or the independent variable.
i. The explanatory variable in the study is the Vkorc I mutation.
ii. The response variable in the study is the Warfarin resistance.
b). The explanatory variable which comes under the nominal scale in this study is the Vkorc I mutation.
While the response variable or the independent variable that comes under the interval scale in the study is the Warfarin resistance.
c). The group of the individuals in this study is called as population. The target population in the study is the house mouse which is required as the mutation in Vkorc 1 gene from the hybridizing with Algerian mouse.
d). The study is a manipulative experiment as the changes that have already introduced in house mice and the treatments are under control.
e). No in this study the researcher did not use any random sample.
All the exam scores are taken from the statistics classes at a community college, and the mean of all these scores is calculated Since the community college is the
population under consideration, the mean of the test scores is a___________
All the exam scores are taken from the statistics classes at a community college, and the mean of all these scores is calculated. Since the community college is the population under consideration, the mean of the test scores is a population mean.
The mean score is referred to as the arithmetic average or simply average of the scores. It is a measure of central tendency that describes the typical score in a dataset.Population mean refers to the average of all the scores in a population. A population refers to the whole group of people, events, or things from which a sample is drawn. Therefore, the population mean of the test scores is calculated by summing up all the scores and dividing by the total number of scores.
In contrast, a sample mean refers to the average of all the scores in a sample. A sample is a subset of a population used to represent the population's characteristics. The sample mean is used to make inferences about the population mean. In statistics, the goal is often to estimate the population mean using the sample mean. This process is called point estimation.
A sample mean is used to estimate a population mean using statistical inference methods.The mean score is a useful measure because it provides a summary of the scores' central tendency. It represents the typical score in a dataset and is useful for making comparisons between different groups of scores. The mean is sensitive to outliers, so it is important to look at the spread of scores in a dataset to determine whether the mean is a good measure of central tendency.
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8. Which of the following is the weight of the cargo in a truck if 1/3 of the cargo weighs 516 pounds (lb)
The weight of the entire cargo in the truck is 1548 pounds.
What are Fractions?Fractions are numbers that represent a part of a whole. They consist of a numerator (the top number) and a denominator (the bottom number), separated by a horizontal line. The numerator represents the number of parts we have, and the denominator represents the total number of parts in the whole.
If 1/3 of the cargo weighs 516 pounds, then we can find the weight of the entire cargo by multiplying both sides by 3, since 1/3 is the same as dividing by 3.
(1/3) of the cargo = 516 pounds
Multiplying both sides by 3, we get:
1 * cargo = 3 * 516 pounds
Simplifying the right side, we get:
cargo = 1548 pounds
Therefore, the weight of the entire cargo in the truck is 1548 pounds.
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There are 3 types of PercentProblems.
a) Number compared to the Base is unknown: x/100 = ?/b
b) Base Number is unknown: a/?= x/100
c) Percent is unknown: a/b = ?/100
Solve the following percent problems using the appropriate percent equation. Describe
the steps used to calculate each answer.
1) What distance is 24% of 710 miles?
2) 62 hours is what percent of 3 days?
3) 16% of what number is 8?
Answer:A. x= .100
Step-by-step explanation:because of the distance in miles
The ratio of cows to chickens on Tweedy's Farm is 2:7. Which farms have a greater ratio of cows to chickens than Tweedy's Farm? Select all that apply.
a Steller Stover's Farm 3 cows for 5 chickens
b Awesome Ansel's Farm 1 cow for every 5 chickens
c Happy Hall's Farm 1 cow for every 3 chicken
d Jumping Jack Jones Farm 3 cows for every 8 chickens
The answer would be B) Awesome Ansel's Farm 1 cow for every 5 chickens.
56x + 40 = 48x + 104
Answer:
56x-48x=104-40
8x=24
X=3
Step-by-step explanation:
the answer is 8
]explanation subtract 56-48 and 104-40 you should get 8x=64
divide 8/8 and 64/8 and the answer is 8
1. is the √15 rational or irrational?
2) Is the point you graphed an estimated or exact answer? Explain why.
(1) √15 is an irrational number.
(2) The point graphed on the number line is estimated.
Any number that cannot be stated as a fraction of any integer is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.
When multiplied by itself, the square root of 15 produces the original integer 15. The square root of 15 is an irrational number since it cannot be expressed in the form of p/q.
Therefore, √15 is an irrational number.
The value of √15 in decimal is 3.87298334621 and hence, the point graphed on the number line is estimated but not an exact answer.
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Grace has 634 stickers. Huiling has 210 stickers. How many stickers must Grace give Huiling so that both of them have the same number of stickers?
The total number of stickers Grace gives to Huiling for an equal number of stickers is 212 stickers.
Distribution based problem:What information do we have?
Number of sticker Grace have = 634
Number of sticker Huiling have = 210
Difference of stickers = 634 - 210
Difference of stickers = 424
Number of stickers Grace gives to Huiling = 424 / 2
Number of stickers Grace give to Huiling = 212 stickers
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Given that 8 tan = 3 cos
a) Show that the above equation can be rewritten in the form 3 sin2 + 8 sin − 3 = 0
b) Hence solve, for 0 ≤ ≤ 90, the equation 8 tan 2 = 3 cos 2, giving your answers to 2 decimal places.
The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.
a) We are given the equation 8 tan θ = 3 cos θ.
Dividing both sides of the equation by cos θ, we have:
8 tan θ / cos θ = 3
Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:
8 (sin θ / cos θ) / cos θ = 3
Simplifying further, we get:
8 sin θ / cos^2 θ = 3
Now, multiplying both sides of the equation by cos^2 θ, we have:
8 sin θ = 3 cos^2 θ
Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:
8 sin θ = 3(1 - sin^2 θ)
Expanding the equation, we get:
8 sin θ = 3 - 3 sin^2 θ
Rearranging the terms, we have:
3 sin^2 θ + 8 sin θ - 3 = 0
Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.
b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.
To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.
In this case, the equation factors as:
(3 sin θ - 1)(sin θ + 3) = 0
Setting each factor equal to zero, we have two equations:
3 sin θ - 1 = 0 or sin θ + 3 = 0
For the first equation, solving for sin θ, we get:
3 sin θ = 1
sin θ = 1/3
Taking the inverse sine (sin^-1) of both sides, we find:
θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)
For the second equation, solving for sin θ, we have:
sin θ = -3
Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).
Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.
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g Brian Vanecek, VP of Operations at Portland Trust Bank, is evaluating the service level provided to walk-in customers. Accordingly, his staff recorded the waiting times for 64 randomly selected walk-in customers, and determined that their mean waiting time was 15 minutes and that the standard deviation was 4 minutes. The 88% confidence interval for the population mean of waiting times is __________.
Answer:
The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 64 - 1 = 63
88% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.88}{2} = 0.94\). So we have T = 1.9153
The margin of error is:
M = T*s = 1.9153*4 = 7.66.
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 15 - 7.66 = 7.34 minutes
The upper end of the interval is the sample mean added to M. So it is 15 + 7.66 = 22.66 minutes.
The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.