Answers
Answer:
A. -1.25 ft/hour — the number of feet the pool depth changes in 1 hour
B. 1 is the depth in feet of the pool when x=0 (at the start of it being filled)
Step-by-step explanation:
In these questions, the pool depth is represented by a linear equation in slope-intercept form. The equation gives depth in feet while the independent variable represents a number of hours.
A slope-intercept equation has the form
y = mx +b . . . where m is the slope (rate of change) and y is the intercept
The y-intercept (b) is the "initial value," the value of y when x=0.
__
A.The equation ...
y = -1.25x +5
represents the depth of water in the Kim family pool. Comparing to the slope-intercept form, we see m = -1.25. That is, the "rate of change" is -1.25. When that value is multiplied by x hours, it gives a result in feet. That is, the units of the rate of change are feet/hour.
\(\dfrac{\text{feet}}{\text{hour}}\times\text{hours}=\text{feet}\)
The "rate of change" of -1.25 in this context is telling you the depth is decreasing by 1.25 feet every hour as the pool is being drained.
__
B.The equation ...
y = 1/2x +1
represents the depth of water in the Gutierrez family pool. Comparing to the slope-intercept form, we see b = 1. This is the initial value of depth, the value when x=0, the pool has been filling for 0 hours. It means the water in the pool is 1 foot deep when the pool starts filling.
Related Questions
At Mr. Hynd's ranch, there are 35 chickens and 20 cows. What is the ratio of the number of cows to the
number of chickens at Mr. Hynd's ranch?
A 4/7
B 11/4
C 4/11
D 7/4
Answers
Mary picked 1/2 bucket of plum and Fred picked2/3 buckets of plum how much more of a bucket did fred pick
Answers
\(\stackrel{Fred}{\cfrac{\underline{2}}{3}}~~ - ~~\stackrel{Mary}{\cfrac{1}{2}}\implies \cfrac{(2)\underline{2}~~ - ~~(3)1}{\underset{\textit{using this LCD}}{6}}\implies \cfrac{4-3}{6}\implies \cfrac{1}{6}\)
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.
f(n)=(2n-2)+2;52
Answers
The position of the given term is mathematically given as
n = 24
This is further explained below.
What is the position of the given term?A function that goes from one set to another gives each element of the first set precisely one element of the second set.
This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.
Generally, the equation for Function the is mathematically given as
f(n) = 2.5 n - 16
Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":
52=(2n-2)+2
52=2n-2+2
52 = 2n-4
n = (52-4)/2
n = 24
In conclusion, the position of the given term.
n = 24
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Which of the following is true with respect to use of the linear regression model to accommodate non-linear relationships? Select all correct answers.
-The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s).
-Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s).
-Polynomial regression is one method for incorporating non-linear associations in a linear model.
Answers
Linear regression is a method of fitting a straight line between a dependent variable and an independent variable.
However, this method can be extended to accommodate some forms of non-linear relationships between the response and predictor(s). Some forms of non-linear relationships can be accommodated in a linear model if we include transformed versions of the predictor(s). Moreover, polynomial regression is one method for incorporating non-linear associations in a linear model. Thus, all of the given options are correct. So, the correct option is (A) The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s). (B) Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s). (C) Polynomial regression is one method for incorporating non-linear associations in a linear model.
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Which of the binomials below is a factor of this trinomial?
5x2 + 14x-3
Answers
Answer:
The answer is D. x + 3
Step-by-step explanation:
The factors of 5x2 + 14x - 3 are:
(5x-1) and (x+3)
If SP:100, CP:80 find is profit or lost percent?
Answers
Step-by-step explanation:
profit =20 rs
profit% = 20/80*100
=25%
Answer:
Profit=20
Step-by-step explanation:
If SP>CP,
It is profit. [Profit=SP-CP]
If SP<CP,
It is loss. [Loss=CP-SP]
If SP=CP,
No gain no loss.
Solution:
SP=100
CP=80
SP>CP,
It is profit.
Profit=SP-CP=100-80=20
Bryan paid $144.00 for an item at the store that was 20% off the original price. What was the original price?
Answers
Answer:
$180
Step-by-step explanation:
\(P\times{(1-0.20)}=144\)
\(P\times{0.80}=144\)
\(P=\frac{144}{0.80}\)
\(P=180\)
answer the math problem
1/32/(3/8)
Answers
Answer:
\(\frac{1}{12}\)
Step-by-step explanation:
Divide \(\frac{1}{32}\) by \(\frac{3}{8}\) by multiplying \(\frac{1}{32}\) by the reciprocal of \(\frac{3}{8}\).
\(\frac{1}{32}\) × (\(\frac{8}{3}\))
Multiply \(\frac{1}{32}\) times \(\frac{8}{3}\) by multiplying numerator times numerator and denominator times denominator.
\(\frac{1x8}{32x3}\)
Do the multiplications in the fraction \(\frac{1x8}{32x3}\)
\(\frac{8}{96}\)
Reduce the fraction \(\frac{8}{96}\) to lowest terms by extracting and canceling out 8.
\(\frac{1}{12}\)
Hope it helps. =D
Have a great day!
Answer:
0.0833333333333333333333333333
Need help ASAP will give brainly if correct
Answers
Answer:
0.80c + 12 ≤ 28.40
c ≤ 20.5
Step-by-step explanation:
c represents # of cups of coffee
0.80 is the price per cup of coffee
so in the inequality it's 0.80c
$12 is how much the mug costs so it's + 12
for solving the inequality isolate c :
0.80c + 12 ≤ 28.40
0.80c ≤ 16.4
c ≤ 20.5
so this means that charlie can buy 20.5 cups of coffee and a $12 mug and the total won't exceed the $$$ on his coffee stop card
q⋅(a+y)=67y+93
what is the answer?
Answers
Arthur went to dinner. The meal cost $157 and
he wants to leave an 18% tip. How much money
should he leave for the tip?
Answers
Arthur should leave a $28.26 tip
a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c
Answers
The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.
To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.
First, we need to convert the initial temperature of 25 °C to Kelvin:
T1 = 25 + 273.15 = 298.15 K
Next, we can rearrange the ideal gas law equation to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
We have:
P1 = 1.08 atm (initial pressure)
V1 = 50.0 L (initial volume)
P2 = 0.855 atm (final pressure)
T2 = 10.0 °C (final temperature)
Converting the final temperature to Kelvin:
T2 = 10 + 273.15 = 283.15 K
Substituting the values into the equation:
V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)
V2 ≈ 42.81 L
Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.
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A statistical test is conducted to see if there is evidence that the proportion of US citizens who can name the capital city of Canada is greater than 0.75. Use the following possible sample results:
Sample A: 38 successes out of 40
Sample B: 31 successes out of 40
Sample C: 34 successes out of 40
Sample D: 27 successes out of 40
Required:
a. State which of the possible sample results provides the most significance evidence for the claim
b. State which (if any) of the possible results provide no evidence for the claim
Answers
The samples which provides the significance evidence are,
a. Sample A shows that samples have significance evidence.
b. The samples which shows no evidence are samples B, C, and D.
To determine which sample result provides the most significant evidence for the claim,
Perform a hypothesis test using the one-sample proportion test.
The null hypothesis (H₀) is that the proportion of US citizens who can name the capital city of Canada is 0.75 or less (p ≤ 0.75),
while the alternative hypothesis (H₁) is that the proportion is greater than 0.75 (p > 0.75).
Calculate the test statistic z-score and corresponding p-value for each sample result using the formula,
z = (p - p₀) / √(p₀(1 - p₀) / n)
where p is the sample proportion,
p₀ is the hypothesized proportion under the null hypothesis,
and n is the sample size.
Let's calculate the z-scores and p-values for each sample result,
Sample A,
38 successes out of 40
p = 38/40
= 0.95
z = (0.95 - 0.75) / √(0.75(1 - 0.75) / 40)
≈ 3.16
p-value ≈ P(Z > 3.16)
≈ 0.0008
Sample B,
31 successes out of 40
p = 31/40
= 0.775
z = (0.775 - 0.75) / √(0.75(1 - 0.75) / 40)
≈ 0.79
p-value ≈ P(Z > 0.79)
≈ 0.2146
Sample C,
34 successes out of 40
p = 34/40
= 0.85
z = (0.85 - 0.75) / √(0.75(1 - 0.75) / 40)
≈ 1.58
p-value ≈ P(Z > 1.58)
≈ 0.0571
Sample D,
27 successes out of 40
p = 27/40
= 0.675
z = (0.675 - 0.75) / √(0.75(1 - 0.75) / 40)
≈ -1.58
p-value ≈ P(Z < -1.58)
≈ 0.0571
a. The sample result that provides the most significant evidence for the claim is Sample A.
It has the highest z-score (3.16) and the lowest p-value (0.0008).
This indicates that the observed proportion of US citizens who can name the capital city of Canada is significantly greater than 0.75.
b. Samples B, C, and D all have p-values above the conventional significance level of 0.05.
These sample results do not provide sufficient evidence to reject null hypothesis and support claim that proportion > 0.75.
Therefore , the possible samples showing the following results,
a. sample A provides the the significance evidence.
b. Samples B, C, and D do not provide sufficient evidence.
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help me g............
Answers
Answer:
Equation: 0.165 x = 69.3
x = 420 gallons
Explanation:
Let us call x the total number of gallons the family uses. then we know that 16.5 % (WHICH WE ARE TOLD IS 69. 3 GALLONS ) of it used for cooking, meaning
\(\frac{16.5}{100}x=69.3\)\(0.165x=69.3\)Dividing both sides by 0.165 gives
\(x=\frac{69.3}{0.165}\)\(x=420.\)Hence, 420 gallons of water are used each day by a family.
A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
Answers
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
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Lamonte has a bag that contains apple chews, strawberry chews, and lime chews. He performs an experiment. Lamonte randomly removes a chew from the bag, records the result, and returns the chew to the bag. Lamonte performs the experiment 34 times. The results are shown below:
An apple chew was selected 13 times.
A strawberry chew was selected 6 times.
A lime chew was selected 15 times.
Based on these results, express the probability that the next chew Lamonte removes from the bag will be apple chew as a percent to the nearest whole number.
Answers
The probability that the next chew Lamonte removes from the bag will be apple chew will be 38%
How to calculate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur
In this case, Lamonte has a bag that contains apple chews, strawberry chews, and lime chews. He performs an experiment and then randomly removes a chew from the bag, records the result, and returns the chew to the bag.
Since Lamonte performs the experiment 34 times, the probability that the next chew Lamonte removes from the bag will be apple chew will be:
= 13 / 34
= 38%
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A circular flower bed is 20 m in diameter and has a circular sidewalk around is 4 m wide
Answers
The area of the sidewalk is approximately 216.26 square meters.
The diameter of the flower bed is 20 meters, which means its radius is 10 meters. The area of the flower bed can be found using the formula for the area of a circle:
Area of flower bed = πr²
= π(10)²
= 100π
The circular sidewalk around the flower bed is 3 meters wide. This means that the outer radius of the sidewalk is 10 + 3 = 13 meters, and the inner radius is 10 meters.
The area of the sidewalk can be found by subtracting the area of the flower bed from the area of the larger circle that includes the sidewalk:
Area of sidewalk = π(13)² - π(10)²
= π(169 - 100)
= π(69)
≈ 216.26 square meters
Therefore, the area of the sidewalk is approximately 216.26 square meters.
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PLEASE HELP ASAP!! CORRECT ANSWER ONLY PLEASE!!!
Which account has the highest annual interest rate?
A. Account 1: Interest is compounded daily at a rate of 5.25%.
B. Account 2: Interest is compounded monthly at a rate of 5.40%.
C. Account 3: Interest is compounded quarterly at a rate of 5.50%.
D. Account 4: Interest is compounded annually at a rate of 5.55%.
Answers
Answer:
A
Step-by-step explanation:
So we know that B talks of monthly, which is about 30 times less than the daily interest(A).
Next we have quarterly(C), which is every three months. This would be 3 times longer than B, and over 90 times longer than daily(A).
Finally we have D, which is anual interest. Anual is only once a year, which is four times longer than C, 12 times longer than B, and over 360 times longer than A.
Answer:
A is the highest interest rate.
Hope this helps! ;)
A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?
Responses
The two linear equations never intersect.
The two linear equations never intersect.
The two linear equations graph the same line.
The two linear equations graph the same line.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.
The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.
The two linear equations intersect at exactly one point.
Answers
The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.
How many types of solution are there for two linear equations ?
There are 2 types of solution :
Consistent :
A consistent system is said to be an independent system if it has a single solution.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Non-consistent :
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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The two linear equations never intersect.
When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.
If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.
It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.
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Maria made 5 withdrawals from her bank account of $35 each . What was the total change to her bank account?
Answers
Answer:
135
Step-by-step explanation:
5 times 35 equals 135
Answer:
$175
Step-by-step explanation:
because that is how much she deposited
2. Write in expanded form
76.345
Answers
Answer:
76.345=
70 +6 +0.3 +0.04 +0.005
explanation:
70 +6 +0.3 +0.04 +0.005= 76.345
in a marketing research study, one-half of a sample received a coupon in a direct mail; the other half did not. a researcher wants to compare money spent at the store between the two groups. what statistical technique should be used? group of answer choices one-sample t test paired-samples t test independent-samples t test pearson correlation coefficient
Answers
The appropriate statistical technique to compare money spent at the store between two groups in a marketing research study is the independent-samples t-test.
The independent-samples t-test is used to compare the means of two independent groups. In this case, the groups are the ones who received the coupon and the ones who did not, and they are independent because the participants were randomly assigned to each group.
The null hypothesis for the independent-samples t-test is that there is no difference between the means of the two groups. The alternative hypothesis is that there is a significant difference between the means of the two groups.
By conducting an independent-samples t-test on the data, the researcher can determine whether the difference in money spent at the store between the two groups is statistically significant or simply due to chance. If the p-value is less than the significance level (usually 0.05), the researcher can reject the null hypothesis and conclude that there is a significant difference between the two groups in terms of the money spent at the store.
Therefore, the independent-samples t-test is an appropriate statistical technique to compare the means of two independent groups and test for significant differences between them.
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I need help please, very confused on what to do!
Answers
Step-by-step explanation:
X intercept of -5 means the line cuts the x axis at -5 so, mark with a small dot/x at - 5 on the x axis which is the horizontal line
y intercept of 3 means the line cuts/passes thru the y axis at 3. so, mark it with a dot/cross at 3 on the vertical line
now, join the 2 markings together with a straight line
a survey asks adults to report their marital status. suppose that in the city which the survey is conducted, 41% of adults are married, 14% are single, 25% are divorced, and 20% are widowed. find the probabilities of each of the following events: the adult is single
Answers
The probability that an adult in the city is single is 14%.
In the given city, based on the survey results, the percentages of adults with different marital statuses are provided. To find the probability of an adult being single, we look at the percentage of single individuals, which is 14%. Therefore, the probability of an adult being single is 14%.
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A student solved the equation below. Describe the error they made. (What did they do wrong? What should they have done?) *
Answers
correct: they should’ve first subtracted both sides by two then divided both sides by three.
A ___ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
Answers
A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.
A polynomial expression is of the form:-
\(ax^{2}+bx+c\)
Here, it consists of variable x, constants a, b and c and operations + and *.
Hence, it is a polynomial expression.
This particular polynomial expression is a quadratic expression.
Other examples of polynomial expressions are :-
5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.
A general polynomial expression can be written as:-
\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)
It has (n + 1) terms, with variable x, (n + 1) constants and operations + and *.
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Please help! Thank you!!
Answers
Answer:
10.) Proportional
11.) Not Proportional
Step-by-step explanation:
The graph in number 10 is steady so it is proportional and crosses the origin. Number 11 is not proportional because it does not cross the origin.
2 A 3.X m thick layer of clay (saturated: yday.sat = 20.X kN/m³; dry: Yclay.dry = 19.4 kN/m³) lies above a thick layer of coarse sand (Ysand = 19.X kN/m³;). The water table is at 2.3 m below ground level. a) Do you expect the clay to be dry or saturated above the water table?
Answers
We can conclude that the clay will be dry above the water table.
Given, A 3.X m thick layer of clay (saturated: yday.sat = 20.X kN/m³; dry: Yclay.dry = 19.4 kN/m³) lies above a thick layer of coarse sand (Ysand = 19.X kN/m³;).
The water table is at 2.3 m below ground level.
We need to find if the clay will be dry or saturated above the water table.
Now, we know that the water table is at 2.3m below the ground level.
Thus, the clay above the water table will be dry because there is no water present to saturate it.
Also, as the density of saturated clay (yday.sat = 20.X kN/m³) is greater than that of dry clay (Yclay.dry = 19.4 kN/m³), we know that the clay will only get heavier if it becomes saturated, but it will not affect its dryness.
Hence, we can conclude that the clay will be dry above the water table.
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Verify the geometrical representation ofI) (a+b+c)^2
Answers
Presumably you're talking about a geometrical interpretation of the identity,
(a + b + c)² = a ² + b ² + c ² + 2 (ab + ac + bc)
See the attached sketch for a visual "proof" of it.
1. Describe the historical data on Nando’s sales, including a discussion of thegeneral direction of sales and any seasonal tendencies that might beoccurring. 2. Discuss, giving your justifications, which time series forecasting techniquesare appropriate for producing forecasts with this data set. 3. Apply the appropriate forecasting techniques and compare the models basedon ex post forecasts. Choose the best model. 4. Use your chosen forecasting model to generate forecasts for each of themonths in year 2021. 5. Discuss how these forecasts might be integrated into the planning operationsand policy makings in NIH
Answers
In Rosettenville, a suburb of Johannesburg, South Africa, Robert Brozin and Fernando Duarte acquired the Chicken Land restaurant in 1987, launching Nando's.
The eatery was renamed Nando's in honor of Fernando. The restaurant incorporated influences from former Mozambican Portuguese colonists, many of whom had relocated to Johannesburg's southeast after their country gained independence in 1975. Expansion was an essential component of their vision from the beginning. Nando's had already grown from one restaurant in 1987 to four by 1990. It became increasingly difficult to implement a common strategy and decision-making became inefficient as new outlets were maintained as separate businesses.
In 1995, Nando's International Holdings (NIH) was established as a new international holding because managing this growingly complex global structure had become extremely challenging. The South African branch of Nando's Group Holdings (NGH) was successfully listed on the Johannesburg Stock Exchange on April 27, 1997. NGH was 54% owned by NIH, with the remaining 26% available to the general public and former joint venture partners. The main goals of the share offer and listing were to broaden the group's capital base and enable group restructuring.
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