Answers
Answer:
[tex]\frac{56}{96}[/tex] is your answer
Step-by-step explanation:
[tex]\frac{7}{12}[/tex]=[tex]\frac{x}{96}[/tex]
to get to 96 you must multiply by 8
and since you did that for the bottom then you need to do the same for the top,
[tex]\frac{56}{96}[/tex] is your answer
Related Questions
help asap giving branlist!!!
Answers
Answer:
Option 2
Step-by-step explanation:
So you know that you have to START with 16 gallons, so you can eliminate options 3 and 4.
Then calculate how long you can drive on 16 gallons. 75 * 4 = 300
It's option 2
Answer:
Option 2
Step-by-step explanation:
The slope will have to be negative since the amount of gas decreases as the miles traveled increased. If the car travels 75 miles on 4 gallons of gas it travels 75 * 4 = 300 miles on 16 gallons of gas, meaning (300, 0) is a point on the line. The only line that satisfies this is Option 2.
Consider the vector x: x <- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Options include sort(x), order(x), rank(x) and none of these
Answers
Completed Question
Outputs to be matched to the functions are:
1,2,3,4,51,5,3,2,41, 4, 3, 5, 2 2, 18, 27, 43, 96Answer:
sort(x): 2, 18, 27, 43, 96 order(x): 1, 5, 3, 2, 4 rank(x) : 1, 4, 3, 5, 2none of these : 1, 2, 3, 4, 5Step-by-step explanation:
Given the vector x: x <- c(2, 43, 27, 96, 18)
Sort
In R, the sort(x) function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.
Therefore, the output that matches the sort function is:
sort(x): 2, 18, 27, 43, 96
Rank
The rank function returns a vector with the "rank" of each value.
x <- c(2, 43, 27, 96, 18)
2 has a rank of 143 has a rank of 427 has a rank of 396 has a rank of 518 has a rank of 2Therefore, the output of rank(x) is: 1, 4, 3, 5, 2
Order
When the function is sorted, the order function gives the previous location of each of the element of the vector.
Using the sort(x) function, we obtain: 2, 18, 27, 43, 96
In the vector: x <- c(2, 43, 27, 96, 18)
2 was in the 1st position18 was in the 5th position27 was in the 3rd position43 was in the 2nd position96 was in the 4th positionTherefore, the output of order(x) is: 1, 5, 3, 2, 4
The manufacturer of a smart watch claims that individuals who pay attention to how many steps they take per day will inadvertently take more steps per day than individuals who pay no attention to how many steps they take per day. To investigate this claim, the manufacturer conducts a study to estimate the difference in the mean number of steps taken by those that pay attention to how many steps they take per day and those that do not. To do so, 40 volunteers are recruited. Half of the volunteers are randomly assigned to receive a smart watch and are taught how to use it to track their steps. The other half of the volunteers are given a wristband to wear, but are not informed that the wristband is tracking their steps. The volunteers are monitored for 30 days. The mean and standard deviation of the number of steps taken per day are computed for each group. Here are the data:
Payti
Do not pay itin 01 0 10 20 87 64 82 350
Which of the following is a 99% confidence interval for the difference in the mean number of steps taken by all people like these that do and do not pay attention to the number of steps they take per day using df - 192
(A) 1596 + 2.861/15802 + 23502
(B) 1596 +2.861, 15.302 – 23502
(C) 1596 +2.576,15802 + 23502
(D) 1596 + 2.576 ( 15802 + 23502) °
(E) 1596 + 2.576 ( 15892 – 23502)
Answers
Here is the correct question.
The manufacturer of a smart watch claims that individuals who pay attention to how many steps they take per day will inadvertently take more steps per day than individuals who pay no attention to how many steps they take per day. To investigate this claim, the manufacturer conducts a study to estimate the difference in the mean number of steps taken by those that pay attention to how many steps they take per day and those that do not. To do so, 40 volunteers are recruited. Half of the volunteers are randomly assigned to receive a smart watch and are taught how to use it to track their steps. The other half of the volunteers are given a wristband to wear, but are not informed that the wristband is tracking their steps. The volunteers are monitored for 30 days. The mean and standard deviation of the number of steps taken per day are computed for each group. Here are the data:
[tex]n[/tex] [tex]\bar x[/tex] [tex]S_x[/tex]
Pay attention 20 10,244 1,580
Do not pay attention 20 8.,648 2,350
Which of the following is a 99% confidence interval for the difference in the mean number of steps taken by all people like these that do and do not pay attention to the number of steps they take per day using df - 19 ?
[tex](A) \ 1596 \ \pm 2.861 \sqrt{ \dfrac{1580^2}{20} + \dfrac{2350^2}{20}} \\ \\ \\ (B) \ 1596 \ \pm 2.861 \sqrt{ \dfrac{1580^2}{20} - \dfrac{2350^2}{20}} \\ \\ \\ (C) \ 1596 \pm 2.576 \sqrt{ \dfrac{1580^2}{20} + \dfrac{2350^2}{20}} \\ \\ \\ (D) 1596 \pm 2.576 ( \dfrac{1580^2}{\sqrt{20}} + \dfrac{2350^2}{\sqrt{20}}) \\ \\ \\ (E) 1596 \pm 2.576 ( \dfrac{1580^2}{\sqrt{20}} - \dfrac{2350^2}{\sqrt{20}})[/tex]
Answer:
[tex]\mathbf{(A) \ 1596 \ \pm 2.861 \sqrt{ \dfrac{1580^2}{20} + \dfrac{2350^2}{20}}}[/tex]
Step-by-step explanation:
Given that :
significance level [tex]\alpha = \mathbf{0.01}[/tex]
From the Given data;
Using Excel with the function : TINV(0.01,19);
Critical value t* = 2.861
The margin of error can now be represented by the illustration:
Margin of error = [tex]t^* \sqrt{ \dfrac {s_1 ^2}{n_1} + \dfrac {s_2 ^2}{n_2}[/tex]
Lower Limit = [tex](\bar x_1 - \bar x_2)- (Margin \ of \ error)[/tex]
Upper Limit = [tex](\bar x_1 - \bar x_2)+ (Margin \ of \ error)[/tex]
Thus; the confidence interval for the difference in the mean number of steps taken by all people like these that do and do not pay attention to the number of steps they take per day using df - 19 is:
[tex]\mathbf{(A) \ 1596 \ \pm 2.861 \sqrt{ \dfrac{1580^2}{20} + \dfrac{2350^2}{20}}}[/tex]
Translate the following into algebraic expressions:
Mike is c years old. He is half as old as Steve. How old was Steve two years ago?
Answers
Answer:
2c -2 = Steve's age 2 years ago
Step-by-step explanation:
Simplify the given expression. Assume x doesn’t = 0. (20x^-3/10x^-1)^-2
X^4/2
X^4/4
X^2/4
Answers
Answer:
X^4
------
4
Step-by-step explanation:
The simplified expression is 1/4x²
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x²-5x+11
Given here, the expression is (20x⁻³ / 10x⁻¹)⁻² =2⁻²× x⁻²
= 1/4x²
Hence, the simplified expression is 1/4x²
Learn more about polynomial expression here:
https://brainly.com/question/11536910
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g You run a regression analysis on a bivariate set of data ( n = 14 ). With ¯ x = 27.7 and ¯ y = 26.5 , you obtain the regression equation y = 0.495 x − 14.914 with a correlation coefficient of r = 0.39 . You want to predict what value (on average) for the response variable will be obtained from a value of 110 as the explanatory variable. What is the predicted response value?
Answers
Answer:
Predicted response value = 39.536
Note that this predicted response value will most likely be far from the actual response value because the correlation coefficient of the regression equation used (r = 0.39) is too far away from 1.
Step-by-step explanation:
The response variable is the dependent variable (y) whose value is obtained from the expression involving the independent variable (x).
For this question, although the correlation coefficient, r = 0.39, is far from 1, the regression equation is
y = 0.495x - 14.914
The predicted response value will be obtained from the explanatory variable and the regression equation
x = 110
y = 0.495x - 14.914
y = (0.495×110) - 14.914 = 39.536
Note that this predicted response value will most likely be far from the actual response value because the correlation coefficient of the regression equation used (r = 0.39) is too far away from 1.
Hope this Helps!!!
Star Corporation purchased from its stockholders 5,000 shares of its own previously issued stock for $250,000. It later resold 2,000 shares for $53 per share, then 2,000 more shares for $48 per share, and finally 1,000 shares for $43 per share.
In 2017, Star Corporation had the following treasury stock transactions.
Mar. 1 Purchased 5,000 shares at $8 per share.
June 1 Sold 1,000 shares at $12 per share.
Sept. 1 Sold 2,000 shares at $10 per share.
Dec. 1 Sold 1,000 shares at $7 per share.
Instructions
As you know that treasury stocks play a significant role in lowering the public ownership. Considering your understanding, journalize the treasury stock transactions and find the total amount of Paid-in Capital from Treasury Stock at December 31, 2017. What are some other circumstances under which company can go for the purchase of treasury stock? Provide your valuable opinion.
Answers
Answer:
Step-by-step explanation:
The objective here is to create a journal entry for the Star corporation treasure stock transaction, then find the total amount of Paid-in Capital from Treasury Stock at December 31, 2017.
Journal Entries:
Date Description $ $
Mar 1 Treasury Stock 40,000
Cash 40,000
June 1 Cash(1,000*12) 12,000
Treasury Stock(1,000*8) 8,000
Paid in Capital(12-8)*1,000 4,000
Sept 1 Cash(1,000*10) 10,000
Treasury Stock (1,000*8) 8,000
Paid in Capital (12-10)*1,000 2,000
Dec 1 Cash (1,000*7) 7,000
Paid in Capital (8-7)*1,000 1,000
Treasury Stock (1,000*8) 8,000
The Beginning Balance:
Treasury Stock Price = 250,000 / 5,000
= $50
Paid in Capital = [2,000×(53-50) + 2,000×(48-50) + 1,000×(43-50)]
= [(2,000×3) + (2,000×-2) + (1,000×-7)]
= 6,000 - 4,000 - 7,000
= -5,000
During the year transactions = 4,000+2,000-1,000
= $5,000
The total amount paid in Capital = Beginning Balance + During the year transactions
= -5,000 + 5,000
= 0
Some other circumstances under which company can go for the purchase of treasury stock includes:
A situation where by they resells the stock in the bid to increase funds for future investment.
The company can go for the purchase of treasury stock in order to empower the financial ratios and have full control interest in the company
It can also aid as a means of increasing the price of the share when it is underpriced in the market.
Marta recorded the temperature at 8 p.m. as 56°F and the temperature at 8 a.m. the next morning as 36°F. Marta assumed the temperature changed at a constant rate. She wrote an equation to find the number of degrees the temperature dropped each hour, h, of the night. Which equation did Marta write?
Answers
Answer: 5h/3
Step-by-step explanation:
12 hours passed, and 20 degrees dropped.
Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.
Hope that helped,
-sirswagger21
Answer:
5h 3
Step-by-step explanation:
12 hours passed, and 20 degrees dropped.
Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.
Hope that helped,
-sirswagger21
3y-y please can you work it out
Answers
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 49 cubic feet. What dimensions yield the minimum surface area? Round to the nearest tenth.
Answers
Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
[tex]b^2*h=49[/tex]
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
[tex]A=b^2+4bh\\A=b^2+4b*({\frac{49}{b^2}})\\A=b^2+\frac{196}{b}[/tex]
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
[tex]\frac{dA}{db} =0=2b-\frac{196}{b^2}\\2b^3=196\\b=4.61\ ft[/tex]
The value of h is then:
[tex]h=\frac{49}{4.61^2}\\h=2.31\ ft[/tex]
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
NEED HELP ASAP!!! a hexagon-based pyramid has a height of 54cm. The volume of the pyramid is 1080cm3. What is the area of the base?
Answers
Answer:
32
Step-by-step explanation:
A local store developed a multiplicative time-series model to forecast its revenues in future quarters, using quarterly data on its revenues during the 5-year period from 2008 to 2012. The following is the resulting regression equation: log10 = 6.102 + 0.012 X - 0.129 Q1 - 0.054 Q2 + 0.098 Q3 where is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2008 Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise To obtain a fitted value for the fourth quarter of 2009 using the model, which of the following sets of values should be used in the regression equation?1. In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02. Which of the following is the best interpretation of this result? a. The quarterly growth rate in revenues is significantly different from 0%. b. The quarterly growth rate in revenues is not significantly different from 0%. c. The quarterly growth rate in revenues is significantly different from 1.2%. d. The quarterly growth rate in revenues is not significantly different from 1.2%. e. The quarterly growth rate in revenues is significantly different from 1.2% 2. using the regression equation, the forecast for the revenues in the fourth quarter of 2004 is:______ a. 6,426 b. 2,666,858 c. 6,638 d. 2,741,574 e. 6,414
Answers
Answer:
The quarterly growth rate in revenues is significantly different from 1.2%.
b. 2,666,858
Step-by-step explanation:
Given that:
The regression equation can be represented as :
[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]
In testing the significance of the coefficient of X in the regression equation (0.012) which has a p-value of 0.02.
The null and alternative hypothesis can be stated as;
[tex]H_0:[/tex] The quarterly growth rate in revenues is not significantly different from 1.2%.
[tex]H_a:[/tex] The quarterly growth rate in revenues is significantly different from 1.2%.
The decision rule is to reject the null hypothesis if the p-value is less than 0.05.
From above ; the p-value = 0.02 which is less than 0.05.
Conclusion:
Thus; we reject the null hypothesis and accept the alternative hypothesis. i.e
The quarterly growth rate in revenues is significantly different from 1.2%.
b.
Since [tex]Q_1=Q_2=Q_3 = 0[/tex] ; X = 27
Thus ;
[tex]log_{10} \hat Y= 6.102+0.012 X - 0.129 Q_1 - 0.054 Q_2 + 0.098 Q_3[/tex]
[tex]log_{10} \hat Y= 6.102+0.012 (27)[/tex]
[tex]\hat Y=10^{ 6.102+0.012 (27) }[/tex]
[tex]\hat Y =[/tex] 2666858.665
[tex]\hat Y =[/tex] 2,666,858
A sphere and a cylinder have the same radius and height.the volume of the cylinderis 48cm3
Answers
Answer:
32 cm^3.
Step-by-step explanation:
Formulas for calculating:
sphere's volume - ;[tex]V_{sphere}=\frac{4\pi r^3}{3}[/tex]
cylinder's volume - .[tex]V_{cylinder}=\pi r^2 h[/tex]
Note that h=2r (height of the sphere consists of two radius).
Then [tex]V_{cylinder}= \pi r^2 h=\pi r^2 2r= 2\pi r^3[/tex]
Since [tex]V_{sphere}= \frac{4\pi r^3}{3}[/tex]
on calculating we get
[tex]V_{cylinder}= \frac{3V_{sphere}}{2}\\ \Rightarrow V_{sphere}=\frac{2V_{cylinder}}{3} =\frac{2\times48}{3} =32 cm^3[/tex]
how much alcohol must be added to 480grams of hand sanitizer that is 24% alcohol to make it a hand sanitizer that is 40% alcohol?
Answers
Answer:
what she/he said
Step-by-step explanation:
Increase £130 by 15%
Answers
Answer:
£149.5
Step-by-step explanation:
[tex]100 + 15 = 115\\115/100 = 1.15\\130 * 1.15 = 149.5[/tex]
Please answer this correctly
Answers
Answer:
342 square meters
Step-by-step explanation:
Consider the length of j;
[tex]j * 9 * 9 = 405,\\j = 405 / 81,\\j = 5 meters[/tex]
Applying the volume of a rectangular prism formula length * width * height = volume, we noted that 9, 9, and j corresponded to the length, width, and height of the rectangular prism and made it equivalent to the volume. Doing so, we solved for j. Now let us solve for the surface area;
[tex]Area of 1st Face = 5 * 9 = 45,\\Area of 2nd Face = 9 * 9 = 81,\\Area of 3rd Face = 5 * 9 = 45,\\\\Surface Area = 2 * ( 45 ) + 2 * ( 81 ) + 2 * ( 45 ) = 342 square meters[/tex]
Opposite faces are equal in terms of their area, so by finding the area of 3 faces, we multiply their area each by 2 to result in the total surface area!
What sequence is generated by the function f(n+1)=f(n)-2 for f(1)=10
Answers
Answer:
-3
Step-by-step explanation:
A box plot is shown below:
What is the median and Q1 of the data set represented on the plot?
Median = 31; Q1 = 26
Median = 30; Q1 = 26
Median = 31; Q1 = 20
Median = 30; Q1 = 20
Answers
Answer:
Step-by-step explanation:
Hello!
I didn't find the exact box plot for this exercise but I've found one that'll help you identify the required values
When constructing a box plot the box lower and upper limits are defined by the first and third quartiles and the line separating it in two represents the median.
In this case, the box is lying on the side, the first quartile is represented by the left side of the box. If you see the graphic this one corresponds to 25.
The median, as said, is represented by the line drawn inside the box, it is not necessarily in its middle but it will always be inside it.
Watching the example, the median is 33
I hope this helps!
Answer: D
Step-by-step explanation:
Which values for h and k are used to write the function f(x) = x2 + 12x + 6 in vertex form?
h=6, k=36
h=-6, k=-36
h=6, k=30
h=-6, k=-30
Answers
Answer: The answer is h=-6, k=-30
Step-by-step explanation:
d on edg
At the Rowlett Holiday Parade
there were a total of 51 floats. If
7 of those floats were from
sports teams, what percent
were NOT sports teams?
Answers
Answer:
[tex] p =\frac{7}{51}= 0.1372[/tex]
And then the probability that is NOT from sport temas using the complement rule is given by:
[tex] q = 1-p =1- \frac{7}{51}= 0.8627[/tex]
And if we convert that into % we got:
[tex] 0.8627 *100= 86.27\%[/tex]
Approximately 86.27% of the floats were NOT sports teams
Step-by-step explanation:
For this case we can begin finding the % of floats that were from sport tems using the Laplace definition of probability given by:
[tex]p = \frac{Possible}{Total}[/tex]
And replacing we got:
[tex] p =\frac{7}{51}= 0.1372[/tex]
And then the probability that is NOT from sport temas using the complement rule is given by:
[tex] q = 1-p =1- \frac{7}{51}= 0.8627[/tex]
And if we convert that into % we got:
[tex] 0.8627 *100= 86.27\%[/tex]
Approximately 86.27% of the floats were NOT sports teams
What is the simplified value of the exponential expression 27 1/3 ?
1/3
1/9
3
9
Answers
Answer:
3
Step-by-step explanation:
27^1/3 = cuberoot(27) = 3
X+4 is prime. X2-9can be factored using the __formula
Answers
[tex] \purple \bold{a^2 - b^2} [/tex]
Step-by-step explanation:
X+4 is prime. X2-9can be factored using the [tex] \purple \bold{a^2 - b^2} [/tex] formula
[tex] x^2 - 9\\
=x^2 - 3^2 \\
= (x+3)(x-3)[/tex]
Answer: difference-of-squares
next one is (x+3)(x-3)(x+4)
Step-by-step explanation:
just took it on ed genuity :)
When planning road development, the road commission estimates the future population using the function represented in the table, where x is the time in years and f(x) is the total population. What is the significance of 160,000 in the function . Graph is x: 0, 1, 2, 3, 4, 5 f(x):160,000, 163,200, 166,464, 169,793, 173,189, 176,653
Answers
Answer:C
Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
Source: Dude trust me
Labrador Retriever weighs 48 kg after a diet and exercise program the dog weighs 43 kilograms to determine if this shows a percent increase or decrease and explain why what is the percent change of its weight a 10% B 11% C 110% D 111% please help.
Answers
Answer:
percentage change in weight ≈ 10%
Step-by-step explanation:
The dog weighed 48 kg after a diet and after an exercise program the dog had a weight of 43 kg. This means the dog loss weight since the dog weight decreased from an initial value of 48 kg to 43 kg. The decrease in weight can be calculate as
decrease in weight = original weight - new weight
original weight = 48 kg
new weight = 43 kg
decrease in weight = 48 - 43 = 5 kg
Since the weight decrease their will be a percentage decrease in weight.
% decrease = decrease in weight/original weight × 100
% decrease = 5/48 × 100
% decrease = 500/48
% decrease = 10. 42666666667
percentage change in weight ≈ 10%
Directly above center court, the Yakima SunDome in Yakima, Washington, rises to its maximum height of 92 ft. The angle of elevation from justins parking spot at a Yakama sun kings home to the top of the dome is 11. To the nearest fooot how far from the center court is Justin Parked?
Answers
Answer:
473 feet.
Step-by-step explanation:
Let's look at the image below. We have that the angle of elevation from Justin parking spot is 11º and the height of the building is 92 feet and we need to know how far from the building is Justin parked, in other words, we need to find x in the image.
We can see that to find x we can use a trigonometric function (in this case is tan since we have the Opposite side (92 feet) and we need the Adjacent side (x)
Thus we have:
[tex]Tan11= \frac{92}{x} \\0.1943=\frac{92}{x}\\ x=\frac{92}{0.1943}\\ x=473.49\\x=473[/tex]
Thus, Justin is parked 473 feet away from the center court.
Simplify (x2y)3. x 5y 3 x 2y 3 x 6y 3
Answers
Answer:
[tex]x^{6} y^{3}[/tex]
Step-by-step explanation:
[tex](x^2y)3[/tex]
[tex]x^{2 \times 3} \times y^3[/tex]
[tex]x^{6} \times y^3[/tex]
A steep mountain is inclined 74 degree to the horizontal and rises to a height of 3400 ft above the surrounding plain. A cable car is to be installed running to the top of the mountain from a point 890 ft out in the plain from the base of the mountain. Find the shortest length of cable needed.
Answers
Answer:
about 3878 ft
Step-by-step explanation:
Assuming that the cable is not doubled, we need to find the length of the base of the mountain i.e
3400/tan(74) = about 975 ft
Therefore, the length of the cable =
√[ 3400² + (975 + 890)²] = about 3878 ft
The following data shows the weekly amounts spent on food for a family of three in a random sample of 30 families:
40 42 46 47 47 48 52 53 53 53
54 56 57 57 57 57 58 58 58 62
62 63 63 63 63 66 67 68 72 73
1. Determine the number of classes and the class interval.
2. Group the data into a frequency distribution starting with the lowest value.
3. Draw an absolute frequency histogram using class limits.
4. Draw a relative frequency polygon for the data using midpoints.
5. Draw a cumulative frequency polygon (ogive) for the data using class limits
Answers
Answer:
1. Number of classes used are 7 with 5 class interval.
Step-by-step explanation:
Note: See the attached files for the tables and answers to questions 2, 3, 4 and 5.
The author purchased a slot machine (Bally Model 809) and tested it by playing it 1197 times. There are 10 different categories of outcomes, including no win, win jackpot, win with three bells, and so on. When testing the claim that the observed outcomes agree with the expected frequencies, the author obtained a test statistic of x^2 = 8.185 . Use α= 0.05 significance level to test the claim that the actual outcomes agree with the expected frequencies. Does the slot machine appear to be functioning as expected?
Answers
Answer:
No the slot machine doesn't appear to function as expected.
Step-by-step explanation:
From chi-squared table , for 9 degrees of freedom and alpha 0.05,
critical value is, 3.325.
Since observed value is greater than critical value we can say that actual outcomes do not agree with the expected frequencies. The slot machine doesn't appear to function as expected.
True or False: As the value of cos(x) approaches 1 and the value of sin(x) approaches 0, the value of tan(x) approaches infinity
Answers
Answer: False
Step-by-step explanation:
We can write tan(x) = sin(x)/cos(x)
if cos(x) tends to 1, and sin (x) tends to 0 (this happens aronund the point x = 0)
then we have:
Tan(x) = 0/1 = 0
Then the statement is false, as cos(x) approaches 1 and sin(x) approaches 0, tan(x) also approaches 0.
