Step-by-step explanation:
Okay, don't panic. Use M-a-t-h-w-a-y. It's online and it can help with all of these problems. <3 I currently have my own OVERDUE math test to do, so I would do this all but I'm time-tight too! aha
For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.
a) Option A, A x2 statistic provides strong evidence in favor alternative hypothesis if its value is a large positive number.
b) Option B, The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related.
c) Option B, The variables considered in a chi-squared test used to evaluate a contingency table B. are categorical.
(a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is a large positive number. The x2 statistic is used in hypothesis testing to determine whether there is a significant difference between observed and expected frequencies. A large positive value indicates that the observed frequencies are significantly different from the expected frequencies, which supports the alternative hypothesis.
(b) The hypotheses being tested in a chi-squared test on a contingency table are the null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. This test determines whether there is a significant association between two categorical variables.
(c) The variables considered in a chi-squared test used to evaluate a contingency table are categorical. These variables cannot be averaged or assumed to be normally distributed. The chi-squared test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.
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helppppp this dont make any sense rk me geometry proofs
Answer:
D) same side interior angles are supplementary
Step-by-step explanation:
In the attachment, yellow is what we're given and need to prove.
Green are the 2 angles that are congruent.
Blue are the 2 angles that we are given that are supplementary, with the reason that 2 angles forming a linear pair sum to 180 degrees.
Red are the 2 angles that are supplementary also, but have to find the reaosn.
We can use process of elimination as one way.
Option A is incorrect because we can see that the red angles aren't vertical.
Option B and C are incorrect because the statement isn't asking for congruency, it's asking for supplementary angles.
Option D is correct because it has to do with supplementary angles.
Also, these 2 angles are supplementary because they are same side interior angles with a transversal cutting through the 2 parallel lines.
Thus, option D is correct.
Hope this helps! :)
The following is a pie chart that presents the percentages spent by a certain household on its five largestannual expenditures. What percentage of the money was spent on housing, insurance, and utilities?Choose one. 5 pointsHOUSING 24.8% , FOOD 27.7%, insurance 26.7%, recreation 7.9% UTILITIES 12.9
1) Since in this pie chart, we have a budget. Let's locate the sectors for Housing, Insurance, and utilities
2) Enlisting them:
Housing: 24.8%
Insurance: 26.7%
Utilities: 12.9%
\%
So we can add them up:
\(undefined\)Let x be the number of years since 1998, let g(x) be the average monthly bill (in dollars) for mobile phone users in the United States, and let h(x) be the average number of minutes used by U.S. mobile phone users. Then g(x) and h(x) are as given g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4, h(x) = -8.25x³ + 53.1x² - 7.82x + 138 Write a rational function ƒ(x) that gives the average price per minute x years after 1998.
The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.
To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).
Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).
This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.
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Es.
3
e
5. Andrew says that 60 is the greatest whole
number that rounds to 60. Is Andrew
correct? Explain your reasoning
Andrew is correct because 60 is the highest whole number that can round to 60. Any number higher than 60 will round up to a higher number. For example, 61 will round up to 70, and 62 will round up to 70. Therefore, 60 is the greatest whole number that rounds to 60.
The highest whole number is infinity, as there is no limit to how high a number can be. Whole numbers are all the numbers that are greater than or equal to 0, including 0 itself. The highest whole number is therefore infinity, as this is the highest possible number.
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Solve each equation.
2x=5
y+1.8=14.7
6=12z
314=12+w
Answer:
2x = 5 : x = 5/2 (as a decimal : x = 2.5)
y + 1.8 = 14.7 : y = 12.9
6 = 12z : z = 1/2 (as a decimal : z = 0.5)
314 = 12 + w : w = 302
Step-by-step explanation:
2x + 5 : 2x/2 + 5/2 ; x = 5/2
y + 1.8 = 14.7 : y + 1.8 - 1.8 = 14.7 - 1.8 ; y = 12.9
6 = 12z : 6/12 = 12z/12 ; z = 1/2
314 = 12 + w : 314 -12 = 12 + w - 12 ; w = 302
A small farm has sheep and chickens, there are chickens as many as twice the sheep and there are 104 legs. What is the count of chickens?.
Answer:
56 chickens or 112 legs
denise measured a community college and made a scale drawing. in real life, a building at the college is 122 meters long. it is 183 centimeters long in the drawing. what scale did denise use?
The scale Denise used is as follows:
3 centimetres: 2 metres
How to find the scale of a drawing?Denise measured a community college and made a scale drawing. In real life, at the college is 122 meters long. it is 183 centimetres long in the drawing.
The scale of Denise use can be calculated as follows:
Using the proportional relationship,
3 / x = 183 / 122
cross multiply
122(3) = 183x
366 = 183x
divide both sides by 183
x = 366 / 183
x = 2 metres.
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Which ONE of the following is the correct way to write a confidence interval? In the answer choices below, L represents the lower bound of the confidence interval and U represents the upper bound of the confidence interval. O [LU] O [LU) O (UL) O (UL) O (LU) O (UL) O (UL) O (LU) O (UL) O (LU)
The correct way to write a confidence interval is an option [LU]
Confidence interval:A confidence interval is typically written as [lower bound, upper bound], where the square brackets indicate that the bounds are included in the interval.
For example, a 95% confidence interval for a population mean might be written as [15.2, 20.8]. This means that we are 95% confident that the true population mean lies between 15.2 and 20.8.
In the answer choices, option (O [LU]) is the correct way to write a confidence interval because it follows this convention of using square brackets to indicate the inclusion of the bounds.
Option (O [LU)) uses a parenthesis for the upper bound, which could be confusing since parentheses typically indicate exclusion.
Options (O (UL)) and (O (UL)) switch the order of the bounds, which would be incorrect since the lower bound should come first.
The other options either use parentheses instead of brackets or reverse the order of the bounds, which are both incorrect.
Therefore,
The correct way to write a confidence interval is an option [LU]
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The price of a shirt was reduced from $40 to $28. By what percentage was the price of the shirt reduced?
Answer:
70%
Step-by-step explanation:
You are planning a square garden, your original plan started out with each side of the garden being 19 feet long, your end plan changed the length of each side by 18 feet. What would be the scale factor comparing your original garden to your final result? Round answers to the nearest hundredth
The scale factor comparing your original garden to your final result is 1:2.
How is the scale factor determined?
According to the information, the person is designing a square garden. While the garden's original concept called for each side to be 9 feet long, the final version increased each side's length to 18 feet.
As a result, the division of the specified numbers will serve as the scale factor for comparing your original garden, and this will be as follows:
= 9/18
= 1/2
= 1:2
Therefore, the scale factor is 1:2.
The question should be:
You are planning a square garden, your original plan started out with each side of the garden being 9 feet long, your end plan changed the length of each side by 18 feet. What would be the scale factor comparing your original garden to your final result? Round answers to the nearest hundredth
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In 2014, the population of the world was about 7,125,000,000 people.
Choose the best approximation of the world population in 2014.
Choose 1 answer:
7x10^8 people
7x10^9 people
Answer:
7x10^9 people
Step-by-step explanation:
7x10^8 people is equivalent to 700,000,000 people. That is not right. The answer should be the second option.
Answer:
the answer is 7x10^9
Step-by-step explanation:
how to find slope of line in points given
3,4 and 4,6
Answer:
2
Step-by-step explanation:
The difference between the x points is 1.
The difference between the y points is 2
The slope is rise over run so the slope of this line is 2/1 which is the same as 2.
Half the area of the rectangle shown is 24 inches. Write and solve an equation to find the value of 'x'
Answer:
The answer will b 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Derive the law of cosines and the law of sines (we will consider only the acute triangle case).
heelp mee with thisssss
4. The cube of 4 in expanded form is: 4 × 4 × 4 = 64.
5. Four times three is not the same thing as cube of a number, but rather 4 × 3 = 12.
What is the Cube of a Number in Expanded Form?The cube of a number means the number multiplied by itself three times. With the knowledge of this, we can write the cube of any number in expanded form.
For example, given a number y, the cube of y is = y³
This means that y multiplied by itself three times, which can be written in expanded form as: y × y × y = y³
If y is 2, the cube of 2 would mean: 2³ = 2 × 2 × 2 = 8.
Therefore:
4. Four cubed is 4³
In expanded form, it is: 4 × 4 × 4, which is evaluated as = 64.
5. Four times 3 in numbers is: 4 × 3, which is evaluated as = 12.
Our answer in #5 is different from our answer in #4 because cube of 4 is 4 times itself in 3 places.
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Simplify. * 11b – 5 + 12b - 10
Answer:
22b - 15
Step-by-step explanation:
add the dependent variable together
Answer: 23b- 15
Explation:
solv the triangel to find all missing measurements, rounding
all results to the nearest tenth
2. Sketch and label triangle RST where R = 68.40, s = 5.5 m, t = 8.1 m. b. Solve the triangle to find all missing measurements, rounding all results to the nearest tenth.
a) To solve the triangle with measurements R = 68.40, s = 5.5 m, and t = 8.1 m, we can use the Law of Cosines and Law of Sines.
Using the Law of Cosines, we can find the missing angle, which is angle RST:
cos(R) = (s^2 + t^2 - R^2) / (2 * s * t)
cos(R) = (5.5^2 + 8.1^2 - 68.40^2) / (2 * 5.5 * 8.1)
cos(R) = (-434.88) / (89.1)
cos(R) ≈ -4.88
Since the cosine value is negative, it indicates that there is no valid triangle with these measurements. Hence, it is not possible to find the missing measurements or sketch the triangle based on the given values.
b) The information provided in the question is insufficient to solve the triangle and find the missing measurements. We need at least one angle measurement or one side measurement to apply the trigonometric laws and determine the missing values. Without such information, it is not possible to accurately solve the triangle or sketch it.
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To determine the probability that a certain component lasts for more than 350 hours of operation, a random sample of 37 components was put to the test. Of these, 24 lasted longer than 350 hours.
a) Do a 95% Confidence Interval for the probability p that a randomly selected component lasts more than 350 hours.
b) A system consists of two such components connected in series. Thus, the system operates if and only if both components operate properly. Do a 95% confidence interval for the probability that the system lasts more than 350 hours. You can assume that the life times of the two components in the system are independent. Express in terms of p.
a) The 95% confidence interval for the probability (p) that a randomly selected component lasts more than 350 hours is estimated to be between 0.4947 and 0.8753. b) The 95% confidence interval for the probability (p) that a system consisting of two components connected in series lasts more than 350 hours is estimated to be between p² and 2p - p²
a) To calculate the confidence interval, we can use the formula for the confidence interval of a proportion. The point estimate for p is the proportion of components in the sample that lasted longer than 350 hours, which is 24/37 = 0.6486. We can calculate the standard error (SE) using the formula:
SE = \(\sqrt{\frac{p\times(1-p)}{n}\)
where p is the point estimate and n is the sample size. Plugging in the values, we get:
SE = sqrt[(0.6486*(1-0.6486))/37] ≈ 0.0841
Next, we can use the standard normal distribution (Z-distribution) for a 95% confidence interval, which corresponds to a Z-score of 1.96 (for a two-tailed test). We can then multiply the SE by the Z-score to get the margin of error (ME):
ME = Z * SE = 1.96 * 0.0841 ≈ 0.1648
Finally, we can construct the confidence interval by adding and subtracting the margin of error from the point estimate:
95% Confidence Interval = p ± ME = 0.6486 \(\pm\) 0.1648
So the confidence interval for p is approximately (0.4947, 0.8753), which means we are 95% confident that the true probability of a component lasting more than 350 hours is between 0.4947 and 0.8753.
b) Since the two components in the system are connected in series, the system will operate only if both components operate properly. Therefore, the probability that the system lasts more than 350 hours is the probability that both components operate properly, which is the product of their individual probabilities. Let p1 and p2 be the probabilities of the first and second components lasting more than 350 hours, respectively.
Based on the assumption that the life times of the two components are independent, the probability that both components operate properly is given by p1 * p2. Since p1 and p2 are assumed to be equal to p (the probability of a single component lasting more than 350 hours), we can write the probability of the system lasting more than 350 hours as p * p = p².
To calculate the lower bound of the confidence interval, we can simply square the lower bound of the confidence interval for p (i.e., p²). To calculate the upper bound of the confidence interval, we can subtract the lower bound of the confidence interval for p from 2p (i.e., 2p - p²).
So the 95% confidence interval for the probability that the system lasts more than 350 hours is estimated to be between p² and 2p - p², where p is the probability of a single component lasting more than 350 hours.
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The data displays fuel efficiency ratings for ten vehicles classified by the U.S. Environmental Protection Agency as
hybrid vehicles.
(48, 40, 35, 34, 29, 27, 26, 24, 21, 20)
What is the standard deviation of the fuel efficiency rating shown, rounded to the nearest tenth?
If the value of the mean is 30.4. Then the standard deviation of the fuel efficiency rating will be 8.41.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The data displays fuel efficiency ratings for ten vehicles classified by the U.S. Environmental Protection Agency as hybrid vehicles.
(48, 40, 35, 34, 29, 27, 26, 24, 21, 20)
Then the standard deviation of the fuel efficiency rating will be
The mean value of the data set will be
\(\mu = \dfrac{48+40+35+34+29+27+26+24+21+20}{10}\\\\\mu = \dfrac{304}{10}\\\\\mu = 30.4\)
Then the standard deviation is given as
\(\rm \sigma = \sqrt{\dfrac{\Sigma(x_i - \mu)^2}{n}}\\\)
Then we have n = 10
\(\rm \sigma = \sqrt{\dfrac{(48-30.4)^2 + (40-30.4)^2 + (35-30.4)^2 + ....+(20-30.4)^2 }{10}}\\\\\sigma = 8.4047605557 \approx 8.41\)
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Expand LaTeX: (4a - 3b^3)^2.
1.What tool ensures greater accuracy by aligning the graduated scale with the edges or points to be measured
The tool that ensures greater accuracy by aligning the numbers scale with the edges or points to be measured is a Vernier caliper.
A Vernier caliper is a tool used to accurately measure small lengths, widths, and diameters with precision. It has two parts: an outer frame and a sliding vernier scale. The frame is used to place the object to be measured, while the vernier scale is moved along the frame to measure the object's length.
The graduations on the vernier scale are smaller than the main scale graduations, allowing for more precise measurements to be made. This makes the Vernier caliper a more accurate measuring tool than a standard ruler or tape measure.
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The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
the concentration of a drug t hours after being injected is given by c ( t ) = 0.1 t t 2 11 c(t)=0.1tt2 11 . find the time when the concentration is at a maximum
The time when the concentration is at a maximum is approximately t ≈ 1.914 hours.
To find the time when the concentration is at a maximum, we need to determine the critical points of the concentration function \(c(t) = 0.1t(t^2 - 11).\).
First, we take the derivative of c(t) with respect to t:
\(c'(t) = 0.1(t^2 - 11) + 0.1t(2t)\\= 0.1t^2 - 1.1 + 0.2t^2\\= 0.3t^2 - 1.1\)
To find the critical points, we set c'(t) = 0 and solve for t:
\(0.3t^2 - 1.1 = 00.3t^2 = 1.1\\t^2 = 1.1 / 0.3\\t^2 = 3.6667\)
t ≈ ±√3.6667
t ≈ ±1.914
Since time cannot be negative in this context, we discard the negative value. Therefore, the time when the concentration is at a maximum is approximately t ≈ 1.914 hours.
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Which form or linear equations are these pls help last day of school due tonight !
Answer:
standard form
Step-by-step explanation:
Graph the linear function p(x)=4x .
Answer:
Please find attached the required graph
Step-by-step explanation:
The given equation of the linear function is p(x) = 4·x
Comparing the above equation with the general equation for a straight line, y = m·x + c, we have;
The slope, m = 4, and the y-intercept c = 0
Therefore, the graph can be constructed by drawing a straight line passing through the origin which is inclined to the horizontal axis such that the ratio of the vertical distance of a point on the line from the x-axis to the distance of the point from the y-axis is 4 to 1
However, in order to graph the given function, such that the values of the x and y coordinates of the points on the line representing the equation of the graph are clearly defined, we generate a table of values using Microsoft Excel as follows;
x \({}\) p(x)
0 \({}\) 0
1 \({}\) 4
2 \({}\) 8
3 \({}\) 12
4 \({}\) 16
5 \({}\) 20
6 \({}\) 24
7 \({}\) 28
8 \({}\) 32
9 \({}\) 36
10 \({}\) 40
11 \({}\) 44
12 \({}\) 48
13 \({}\) 52
14 \({}\) 56
15 \({}\) 60
16 \({}\) 64
From which the required graph is constructed using the insert function in Microsoft Excel
For each of the above sets of sample data calculate the coefficient of variation CV round to one decimal place
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating coeffieicient of Variation
\(CV=\frac{standard\text{ }deviation}{mean}\cdot100\)STEP 2: Find the coeffieicient of Variation for sample A
Find the standard deviation of sample A
The data set of Sample A are given as:
\(36900,19400,22000,21900,35300,20500,35400,24000,37700,35300,38300,29600,26000,38400\)The standard deviation of the sample data is:
\(7421.56421\)The mean is given as:
\(30050\)The coefficient of Variation will be:
\(\begin{gathered} \frac{7421.56421}{30050}\cdot100=24.69738 \\ \\ \approx24.7\% \end{gathered}\)Hence, the coefficient of Variation for sample data A is approximately 24.7%
STEP 3: Calculate for Data Sample B
Similarly, the standard deviation of the given set of data will be:
\(1.09486\)The mean is given as:
\(3.24545\)The coefficient of Variation will be:
\(\begin{gathered} \frac{1.09486}{3.24545}\cdot100=33.73522 \\ \\ \approx33.7\% \end{gathered}\)Hence, the coefficient of Variation for data set B is approximately 33.7%
Use the information given to find the appropriate minimum sample sizes. (Round your answer up to the nearest whole number.)
Estimating the difference between two means with a 95% margin of error equal to +5. Assume that the sample sizes will be equal and that σ1 ≈ σ2 ≈ 39.7.
n1 = n2 ≥ ___
You may need to use the appropriate appendix table to answer this question.
The appropriate minimum sample size for each group is n1 = n2 ≥ 964. To find the appropriate minimum sample sizes for estimating the difference between two means with a 95% margin of error equal to ±5 .
Standard deviations (σ1 and σ2) both approximately equal to 39.7, we can use the following formula:
\(n1 = n2 ≥ (Z * (σ1 + σ2) / E)²\)
Where:
- n1 and n2 are the minimum sample sizes for the two groups
- Z is the Z-score corresponding to the desired confidence level (95%)
- σ1 and σ2 are the standard deviations of the two groups (both ≈ 39.7)
- E is the desired margin of error (±5)
From a standard normal (Z) table, we can find the Z-score for a 95% confidence level, which is 1.96. Since the sample sizes are equal and the standard deviations are approximately the same, we can simplify the formula as follows:
n1 = n2 ≥ (1.96 * (39.7 + 39.7) / 5)²
n1 = n2 ≥ (1.96 * 79.4 / 5)²
n1 = n2 ≥ (31.0376)²
n1 = n2 ≥ 963.3344
Since we need to round up to the nearest whole number, the minimum sample size for each group is:
n1 = n2 ≥ 964
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What is f(O)? Hint: plug (0) in for the variable d.
f(d) = d? - 5
Answer:
f(0) = - 5Step-by-step explanation:
The function:
f(d) = d² - 5To find the value of f(0), replace d with 0 in the equation and find the result:
f(0) = 0² - 5 = 0 - 5 = -513f + 6 -f = -3
help?
Answer:
f = -3/4
Step-by-step explanation:
13f + 6 -f = -3
Combine like terms
12f +6 = -3
Subtract 6 from each side
12f+6-6 = -3-6
12f = -9
Divide each side by 12
12f/12 = -9/12
f = -3/4
Answer:
f= -3/4 or -0.75
Step-by-step explanation:
We are given the equation:
13f + 6 -f = -3
First, let's combine like terms. Subtract f from 13f.
(13f-f) + 6 = -3
12f + 6= -3
We want to find f. Therefore, we must isolate the variable on one side of the equation.
6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
12f + 6 -6 = -3-6
12f= -3-6
12f= -9
f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.
12f/12= -9/12
f= -9/12
This fraction can be reduced. Both the numerator and denominator can be divided by 3.
f = (-9/3) / (12/3)
f= -3/4
f=-0.75
The solution to the equation is f= -3/4 or -0.75