Null Hypothesis: H0: There is an equal distribution of contralateral and ipsilateral tumors in the population.Ha: There is not an equal distribution of contralateral and ipsilateral tumors in the population.
1) Calculate the observed value:
The observed value is 26 out of 41 cases.
2) Calculate the expected value:
The expected value is 20.5 out of 41 cases.
3) Calculate the test statistic:
The test statistic is (26-20.5)/sqrt(20.5) = 2.44
4) State the critical value:
The critical value for a two-sided test with a significance level of 0.05 is 1.96.
5) The test statistic (2.44) is greater than the critical value (1.96), so we reject the null hypothesis and conclude that there is not an equal distribution of contralateral and ipsilateral tumors in the population.
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pLEASE!
a) If 3/5 of the 595 students are seventh graders, and 5/8 of them participated in the
competition, about how many seventh graders participated in the competition?
Describe the process you used to find your answer. (2 points)
b) If 2/5 of the 595 students are eighth graders, and 7/8 of them participated in the
competition, about how many eighth graders participated in the competition?
Describe the process you used to find your answer. (2 points).
c) About how many total students participated? Describe the process you used to
find your answer. (2 points)
3/5 of 595 students are 7th graders:
3/5*595 = 3*(595/5) = 3*119 = 357 students5/8 of them participated in the competition:
5/8*357 = 5*357/8 = 1785/8 = 223 1/8 ≈ 223 studentsPart B2/5 of the 595 students are 8th graders:
2/5*595 = 2*(595/5) = 2*119 = 238 students7/8 of them participated in the competition:
7/8*238 = 7*238/8 = 1666/8 = 208 2/8 ≈ 208 studentsPart CAbout how many total students participated?
Find the sum of participated students from parts A and B:
223 + 208 = 431 studentsA music teacher had noticed that some students went to pieces during exams. He wanted to test whether this performance anxiety was different for people playing different instruments. He took groups of guitarists. drummers and pianists (variable = 'Instru') and measured their anxiety (variable = 'Anxiety') during the exam. He also noted the type of exam they were performing (in the UK, musical instrument exams are known as 'grades' and range from 1 to 8 ). He wanted to see whether the type of instrument played affected performance anxiety when accounting for the grade of the exam. Which of the following statements best reflects what the effect of GRADE in the table tells us? Tests of Between-Subjects Effects a.
R
Squared
=.466
(Adjusted
R
Squared
=.438)
The grade of exam had a significant relationship with the level of anxiety experienced. The grade of exam did not have a significant relationship with the level of anxiety experienced. The type of instrument played had a significant relationship with the grade of exam that was being taken. The type of instrument played did not have a significant relationship with the grade of exam that was being taken.
The statement that best reflects the grade is "The variances of anxiety scores were roughly the same in the different groups of musicians."
The term variances refers the mean squared difference between each data point and the center of the distribution measured by the mean
Here we have given that a music teacher had noticed that some students went to pieces during exams and he wanted to test whether this performance anxiety was different for people playing different instruments. While he took groups of guitarists. drummers and pianists (variable = 'Instru') and measured their anxiety (variable = 'Anxiety') during the exam. Here he also noted the type of exam they were performing (in the UK, musical instrument exams are known as 'grades' and range from 1 to 8 ).
Now, we need to find the statements best reflects what the effect of GRADE in the table tells us.
While we looking into he given question we have identified that this performance anxiety was different for people playing different instruments.
So, based on this concept the correct statement id option (c).
Because, here the variances of anxiety scores were roughly the same in the different groups of musicians where if Levine's test of equality of error variances is non-significant (sig > .05) then there is equality of variances.
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0=-16r^2-50
algebra question
[tex]r=\frac{5i\sqrt{2} }{4}, -\frac{5i\sqrt{2} }{4}[/tex] or simply just say ± [tex]\frac{5i\sqrt{2} }{4}[/tex].
Hope this helps!
Answer:
[tex]r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i[/tex]
Step-by-step explanation:
To solve the given equation, rearrange the equation to isolate r.
Given equation:
[tex]0=-16r^2-50[/tex]
Add 16r² to both sides of the equation:
[tex]0+16r^2=-16r^2-50+16r^2[/tex]
[tex]16r^2=-50[/tex]
Divide both sides of the equation by 16:
[tex]\dfrac{16r^2}{16}=\dfrac{-50}{16}[/tex]
[tex]r^2=-\dfrac{25}{8}[/tex]
[tex]\textsf{For\;\:}x^2=f\left(a\right)\textsf{\:the\:solutions\:are\:\:}x=\pm\sqrt{f\left(a\right)}[/tex]
[tex]r=\pm\sqrt{-\dfrac{25}{8}}[/tex]
[tex]\textsf{Apply\;the\:radical\:rule:}\;\:\sqrt{-a}=\sqrt{a}\sqrt{-1}[/tex]
[tex]r=\pm\sqrt{\dfrac{25}{8}}\sqrt{ -1}[/tex]
[tex]\textsf{Apply\;the\:imaginary\:number\:rule:}\;\:\sqrt{-1}=i[/tex]
[tex]r=\pm\sqrt{\dfrac{25}{8}}\:i[/tex]
[tex]\textsf{Apply\;the\:radical\:rule:}\:\:\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}},\:\quad \:a\ge 0,\:b\ge 0[/tex]
[tex]r=\pm\dfrac{\sqrt{25}}{\sqrt{8}}\:i[/tex]
Simplify the numerator and denominator of the fraction:
[tex]r=\pm\dfrac{5}{2\sqrt{2}}\:i[/tex]
Rationalise the denominator by multiply the numerator and denominator by √2:
[tex]r=\pm\dfrac{5\cdot\sqrt{2}}{2\sqrt{2}\cdot \sqrt{2}}\:i[/tex]
[tex]r=\pm\dfrac{5\sqrt{2}}{4}}\:i[/tex]
Therefore, the solutions to the given equation are:
[tex]r=\dfrac{5\sqrt{2}}{4}}\:i\:,\quad \;\;r=-\dfrac{5\sqrt{2}}{4}}\:i[/tex]
Triangle ABC is rotated to create the image A'B'C'.
Which rule describes the transformation?
O (x, y) - (x, -y)
O (x, y) - (y, x)
O (&, y) - (-x, -V)
B'
O (%, V) - (-% -x)
The rule that describes the transformation that Triangle ABC is rotated to create the image A'B'C' is; (x, y) → (-x, -y)
How to identify the transformation rule that was used?
In transformation in mathematics, there are different types such as rotation, translation, dilation, reflection e.t.c
Now, from the diagram attached showing the given transformation, we see that the coordinates of the original triangle are;
A'(-1, -1)
B(1, -1)
C(0. -4)
We now see the coordinates of the transformed triangle are;
A'(1, 1)
B'(-1, 1)
C'(0, 4)
We can see that in the transformation both x and y are negative of each other. Thus, the transformation rule is; (x, y) → (-x, -y)
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the continuous function f is defined on closed interval -6
The continuous function f is defined on the closed interval −6 ≤ x ≤ 5. The figure above shows a portion of the graph of f, consisting of two line segments and a quarter of a circle centered at the point (5, 3). It is known that the point (3, 3 −√5 ) is on the graph of f. 4.
In mathematics, a continuous function is a function such that a continuous variation (that is a change without jump) of the argument induces a continuous variation of the value of the function. This means that there are no abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its value can be assured by restricting to sufficiently small changes of its argument. A discontinuous function is a function that is not continuous. Up until the 19th century, mathematicians largely relied on intuitive notions of continuity, and considered only continuous functions. The epsilon–delta definition of a limit was introduced to formalize the definition of continuity.
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Can someone explain how to do this? Normally i’d know how to do it but I’m clueless. HELP!!!
The value of the missing sides assuming both triangles are similar will be 18 inches.
What is the similarity?Similar figures are those figures which are identical in shape, but not necessarily in size.
Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.
As per the given two triangle,
Suppose the length of missing side is x inches.
Suppoes both triangles are similar by AAA rule.
The ratio of corresponding sides will be same thus,
x/6 = 12/4
x = 3 x 6 = 18 inches
Hence "If both triangles are comparable, the value of the missing sides will be 18 inches".
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The scale on a map states that 1 cm represents 8 miles. How many miles would be represented by 32cm on the map?
Answer:
256 miles
Step-by-step explanation:
1 cm = 8 miles
32 cm = x miles
32 * 8 = 256 miles
How many integers are solutions of the inequality |x|<4
Answer:
Infinite number of integers that satisfy the inequality |x|<4.
Step-by-step explanation:
The absolute value of a number indicates its distance from 0 on the number line. Therefore, the inequality |x|<4 indicates that x is less than 4 units away from 0 on the number line. Because there are an infinite number of integers on the number line, there are an infinite number of integers that satisfy the inequality |x|<4.
What is 3 1/5 divided by 5/8
Answer:
128/25
Step-by-step explanation:
(3 1/5) / (5/8) =
(3 + 1/5) / (5/8) =
(15/5 + 1/5) / (5/8) =
(15+1)/5 / (5/8) =
16/5 / (5/8) =
16/5 * 8/5 = ==> dividing by a number is equaled to multiplying by its
reciprocal: the reciprocal of 5/8 is 8/5.
(16 * 8) / (5*5) = 128/25
The library has 65400 art books and 9600 science books. What part of all the books are science books.
Answer: it should be 12.8 percent
Step-by-step explanation:
Please complete this table:
Answer:
Solutions: (0,2) and (3,1)
Not a solution (6,4)
Step-by-step explanation:
x + 3y = 6
0 + 3y = 6
3y = 6
y = 2
(0,2)
x + 3y = 6
3 + 3y = 6
3y = 3
y = 1
(3,1)
x + 3y = 6
6 + 3(4) = 6
6 + 12 = 12
18≠12
(6,4)
The cost of fountain drinks at Hot Dog
Hut.
volume
(fluid ounces)
16
20
30
Double Jeop-
cost
($)
$1.49
$1.59
$1.89
Eraser
No
x2
Does this scenario represent a proportional
relationship?
1
Yes
2
Answer:
No (not a proportional relationship)
Step-by-step explanation:
The cost of fountain drinks at Hot Dog Hut:
[tex]\begin{array}{|c|c|}\cline{1-2} \sf Volume & \sf Cost \\\sf \sf (fluid\;ounces) & \sf(\$) \\\cline{1-2} \vphantom{\dfrac12}16& 1.49\\\cline{1-2} \vphantom{\dfrac12}20&1.59 \\\cline{1-2} \vphantom{\dfrac12}30& 1.89\\\cline{1-2} \end{array}[/tex]
A proportional relationship is one in which two quantities vary directly with each other.
Calculate the rate of change of the ordered pairs.
Rate of change between (30, 1.89) and (20, 1.59):
[tex]\implies \dfrac{1.89-1.59}{30-20}=\dfrac{0.3}{10}=0.03[/tex]
Rate of change between (20, 1.59) and (16, 1.49):
[tex]\implies \dfrac{1.59-1.49}{20-16}=\dfrac{0.1}{4}=0.025[/tex]
As the rates of change are different (not constant), the relationship is not proportional.
Note: The graph of a proportional linear relationship is a line that passes through the origin (0, 0).
It would he quite risky for you to insure the life of a 21 -year-old friend under the terms of Exercise 14. There is a high probability that your friend would live and you would gain $\$ 1250 dollars in premiums. But if he were to die, you would lose almost \$ 100,000$. Explain carefully why selling insurance is not risky for an insurance company that insures many thousands of 21 -year-old men. (b) The risk of an investment is often measured by the standard deviation of the return on the investment. The more variable the return is, the riskier the investment. We can measure the great risk of insuring $\mathrm{u}$ single person's life in Exercise 14 by computing the standard deviation of the income $Y$ that the insurer will receive. Find or using the distribution and mean found in Exercise 14.
The standard deviation of the income that the insurer will receive can be determined which is 9708 using the distribution and mean.
Given in the question that the high probability would gain in premiums. If die, would lose almost . Selling insurance is not risky for an insurance company that insures many thousands of -year-old men.
According to the information, the gain around is 1250
Amount would lost in case of death is 100000.The expected value with its probability is:
E(X) = ∑x ×P(x)
=(-99750) × 0.00183 + ...+ (1250) × 0.99058
= 303.35
The standard deviation of the investment return is used to determine the risk of an investment. The riskier the investment is, the more varied the return is
The standard deviation of Y can be determined as
α = under root {∑x2 × P(x) - (∑x × P(x) }
= 9708
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16. 21) Thex- andy-axes are the asymptotes of a hyperbola that passes through the point(2,2). Its equation is a) x2−y2=0
b) xy=4
c) y2−x2=0
d) x2+y2=4
The equation of the hyperbola with given x and y axes will be x² + y² = 4 that is option D is correct.
The hyperbola x² + y² = 4 is a standard form of the equation for a hyperbola centered at the origin, which means that the hyperbola passes through the point (0,0). However, the given information states that the hyperbola passes through the point (2,2). This can be achieved by shifting the hyperbola to the right and up by 2 units, resulting in the equation (x-2)² + (y-2)² = 4.
The asymptotes of a hyperbola are the lines that the hyperbola approaches but never touches as it extends to infinity. The asymptotes of a hyperbola centered at the origin are the x-axis and y-axis. Since this hyperbola has been shifted to the right and up by 2 units, the asymptotes are the x-axis and y-axis shifted by 2 units in the same direction. Therefore, the x- and y-axes are the asymptotes of this hyperbola.
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The sum of 4 and the cube of a number.
Answer:64
Step-by-step explanation:
just trust trust
Young Professional magazine was developed for a target audience of recent college graduates who are in their first 10 years in a business/professional career. In its two years of publication, the magazine has been fairly successful. Now the publisher is interested in expanding the magazine’s advertising base. Potential advertisers continually ask about the demographics and interests of subscribers to Young Professional. To collect this information, the magazine commissioned a survey to develop a profile of its subscribers. The survey results will be used to help the magazine choose articles of interest and provide advertisers with a profile of subscribers. As a new employee of the magazine, you have been asked to help analyze the survey results.
TABLE 8.6 PARTIAL SURVEY RESULTS FOR YOUNG PROFESSIONAL MAGAZINE
age gender real estate purchases value of investments number of transactions broadband access household income children
38 female no 12200 4 yes 75200 yes
30 male no 12400 4 yes 70300 yes
41 female no 26800 5 yes 48200 no
28 female yes 19600 6 no 9300 no
31 female yes 15100 5 no 73300 yes
Prepare a managerial report summarizing the results of the survey. In addition to statistical summaries, discuss how the magazine might use these results to attract advertisers. You might also comment on how the survey results could be used by the magazine’s editors to identify topics that would be of interest to readers. Your report should address the following issues, but do not limit your analysis to just these areas.
1. Develop appropriate descriptive statistics to summarize the data.
2. Develop 95% confidence intervals for the mean age and household income of subscribers.
3. Develop 95% confidence intervals for the proportion of subscribers who have broadband access at home and the proportion of subscribers who have children.
4. Would Young Professional be a good advertising outlet for online brokers? Justify your conclusion with statistical data.
5. Would this magazine be a good place to advertise for companies selling educational software and computer games for young children?
6. Comment on the types of articles you believe would be of interest to readers of Young Professional.
We are 95% confident that the interval 29.7215 to 30.5029 includes the population mean age of all respondents.
What does a 95% confidence interval indicate?
With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent).
According to the given question:
Conclusions about statistical significance are possible with the help of the confidence interval. If the confidence interval does not include the value of zero effect, it can be assumed that there is a statistically significant result.
±2828.6, ±3370.3, and ±4429.6
a. A larger sample size would cause the interval to narrow.
b. Near certainty; 50.1% (a majority) is far below the 95% confidence interval for the population proportion.
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Let f(x)=8-2x. Find f(-4)
Answer:
f(-4)=16
Step-by-step explanation:
since f(x)=8-2x and we are asked to find f(-4),
we plug -4 in for x and we get
[tex]f(-4)=8-2(-4)[/tex]
[tex]2*-4=-8[/tex]
[tex]8-(-8)=8+8[/tex]
[tex]8+8=16[/tex]
[tex]f(-4)=16[/tex]
Which inequality statement is the same as the one given below?
x ≥ or x>2
A x≥-3
B x>-3
C x>2
The inequality statement that same as x ≥ -3 or x > 2 is option (A) x ≥ -3
The inequality statement is
x ≥ -3 or x > 2
The inequality is the mathematical statement that shows the relationship between two expression with inequality sign. The inequality signs are less than, less than or equal to, greater than, greater than or equal to etc.
The compound inequality is
x ≥ -3 or x > 2
The value of x is greater than or equal to -3 also value of x is greater than 2
Here x ≥ -3 express then values of the compound inequality
Therefore, the same inequality statement is option (A) x ≥ -3
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Solve the compound inequality and give your answer in interval notation
The solution set of the compound inequality is written as:
(-∞, -4] U (6, ∞)
How to solve the composite inequality?First, we need to simplify the two given inequalities, the first one is:
7x + 6 > 4x + 24
Grouping like terms we will get:
7x - 4x > 24 - 6
3x > 18
x > 18/3
x > 6
The other inequality gives:
2*(-13x - 1) - 8 ≥ -10x + 54
-26x - 2 - 8 ≥ -10x + 54
-26x - 10 ≥ -10x + 54
-10 - 54 ≥ -10x + 26x
-64 ≥ 16x
-64/16 ≥ x
-4 ≥ x
So the compound inequality is:
-4 ≥ x
x > 6
Then the solution set written as an interval is:
(-∞, -4] U (6, ∞)
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You go to a party with 500 guests. What is the probability that exactly one other guest has the same birthday as you? Calculate this exactly and also approximate by using the Poisson PMF.
The probability that exactly one other guest has the same birthday as you is 0.3483.
How does one determine probability?The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.
How do probability and an example work?The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of flipping a coin and obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail). We express P(heads) = 12.
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Determine which integer in the solution set will make the equation true
Answer:
s= 2
Step-by-step explanation:
4s - 14 = -6 Add 14 to both sides
4s - 14 + 14 = -6 + 14 Simplify
4s = 8 Divide both sides by 4
s = 2
Check
4x - 14 = -6
4(2) - 14 = -6
8 - 14 = -6
-6 = -6
First, we should the leave the variable [tex]s[/tex] on the left side of the equation.
[tex]4s-14=-6[/tex][tex]4s=-6+14[/tex][tex]4s=8[/tex]Divide both sides by [tex]4.[/tex]
[tex]\frac{4s}{4}=\frac{8}{4}[/tex][tex]s=2[/tex]Conclusion:
Consequently, the element [tex]2[/tex] in the given set is the only real solution of this equation. What we need to do in such questions is to leave the unknown alone. Since the power of the variable [tex]s[/tex] of our unknown is [tex]1[/tex] we can only find [tex]1[/tex] root, respectively.
a newsletter publisher believes that 64% of their readers own a personal computer. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.01 level of significance, the testing firm decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
There is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.
What is the null hypothesis?
Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.
Here, we have
P = population proportion of readers, who own personal computers.
The claim of the publisher: 64% of their readers own a personal computer.
Since the claim indicates a specific value about P, it should be treated as the null hypothesis and thus the required null and alternative hypothesis would be -
H₀ : p = 0.64
H₁ : p ≠ 0.64
Now, at a = 0.01, it is decided to reject the null hypothesis.
Hence, there is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.
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What are the two equations to set up to solve the equation |2x - 5| = 7
Answer:
To solve the equation |2x - 5| = 7, you can set up two equations, one for the positive solution and one for the negative solution.
For the positive solution, you can start by isolating the absolute value expression on the left-hand side of the equation: |2x - 5| = 7 can be rewritten as 2x - 5 = 7. Then, you can solve this equation by adding 5 to both sides to get 2x = 12, and then dividing both sides by 2 to get x = 6.
For the negative solution, you can start by noting that the absolute value of a number is equal to its opposite if it is negative, so |2x - 5| = 7 can be rewritten as -(2x - 5) = 7. This equation can be solved by multiplying both sides by -1 to get 2x - 5 = -7, and then adding 5 to both sides to get 2x = -2. Then, dividing both sides by 2 to get x = -1.
Therefore, the two equations to solve the equation |2x - 5| = 7 are 2x - 5 = 7 and 2x - 5 = -7.
Answer:
C
Step-by-step explanation:
To solve the equation |2x - 5| = 7, we need to set up two equations, one for the case where the absolute value is equal to the positive value of the expression inside the absolute value bars, and one for the case where the absolute value is equal to the negative value of the expression inside the absolute value bars.
The first equation we need to set up is 2x - 5 = 7. In this case, the absolute value is equal to the positive value of 2x - 5, so we can simply set the expression inside the absolute value bars equal to the given value of 7. This equation can be written as follows:
2x - 5 = 7
The second equation we need to set up is -(2x - 5) = 7. In this case, the absolute value is equal to the negative value of 2x - 5, so we need to set the negative of the expression inside the absolute value bars equal to the given value of 7. This equation can be written as follows:
-2x+5 = 7
We can use these two equations to solve for the value of x. To solve the first equation, we can simply add 5 to both sides to get 2x = 12, and then divide both sides by 2 to get x = 6. To solve the second equation, we can first distribute the negative sign to get -2x + 5 = 7, and then add 5 to both sides to get -2x = 2. Finally, we can divide both sides by -2 to get x = -1.
Therefore, the two solutions to the equation |2x - 5| = 7 are x = 6 and x = -1.
Alternative:
2x-5 = 7
2x-5 = -7
….answer thank youu!!!!!!!
8/3X = 1 + 5/3X
8/3X - 5/3 = 1 + 5/3X - 5/3X
3/3X = 1
X = 1
first box = 8
second box = 8
third box = 5/3x
fourth box = 3
fifth box = 1
sixth box = 1
In ARST, RS = ST. Solve for x. Then find the
length of RT.
The value of (a) x is 3 and (b) the length RT is= 14 units
How to find the measure of the length?The corrected question form a triangle. and the lengths of the triangle are give as
rs=9x-13
st=10x-3
rt=4x+2
Using the supporting values to find the lengths we have
s=t and rs=rt
This implies that
rs=9x-13=rt=4x+2
Equating the two equations we have
9x-13=4x+2
Collecting like terms
9x-4x=2+13
⇒5x=15
Making x the subject of the formula
x=15/5=3 units
In the same way, rs=9x-13=9(3)-13
=27-13=14 units
Also, st=10x-3
Substitute x=3 in the equation we have
10(3)-3
=30-3
=27
Recall that rt=4x+2
by substitution we have
4(3)+2
=12+2
=14 units
In conclusion, the value of (a) x is 3 units and (b) the length RT is= 14 units
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Corrected question:
in rst, if s=t, rs=9x-13, st=10x-3, and rt=4x+2, find x and the measurement of the side rt.
A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.
The campers will be 40 miles from their car after 12 hours.
Given :
A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours .
We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:
slope m = y2 - y1 / x2 - x1
Choosing the points (0,4) and (2,10), we get:
m = 4 - 10 / 0 - 2
= -6 / -2
= 6 / 2
= 3
We can substitute the point (0,4) and the slope into y = mx + b and solve for "b":
4 = 3 * 0 + b
b = 4
Then, the equation of this line is:
y = 3x + 4
Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:
d = 3h + 4
if h = 12
d = 3 * 12 + 4
= 36 + 4
= 40 miles
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Full question :
A group of hikers park their car at a trail head and hike into the forest to a campsite. The next morning, they head out on a hike from their campsite walking at a steady rate. The graph shows their distance in miles, d, from the car on the day of their hike after h hours.How many miles will the campers be from their car after 12 hours?
An article in Optical Engineering reported on use of an optical correlator to perform an experiment by varying brightness and contrast. The useful range of gray levels characterizes the resulting modulation. The data are shown below:
Brightness (%): 54 61 65 100 100 100 50 57 54
Contrast (%): 56 80 70 50 65 80 25 35 26
Useful range (ng): 96 50 50 112 96 80 155 144 255
USE MINITAB TO CARRY OUT THE FOLLOWING:
Fit a multiple linear regression model to these data.
Estimate σ2.
Predict the useful range when brightness = 80 and contrast = 75.
Test for significance of regression using α = 0.05. What is the p-value for this test?
Find a 95% confidence interval and prediction interval when brightness = 80 and contrast = 75.
Analyze R2.
Analyze the residuals.
Analyze using Best Subsets.
On analyzing the data given in question we get to know that the sensitivity is negative.
Our function is 40 + 24 x 2.4 /1 + 4x to the point.
For the time being, our first task is to determine the sensitivity, which is the derivative of our discovery. The quotient rule, whose derivative we shall be utilizing, says that the derivative of F org equals G f prime minus f g prime all over g squared.
The bottom function is one plus four times the top function's derivative, or 40.4 times. 40 has a derivative of zero.
When a light source is x cm away from a light probe, the light's intensity is measured as y microwatts per square cm. The outcomes are displayed as ordered pairs( x , y).
So we just need to multiply 24 x240.4.
Using the power rule, we can reduce the 0.4 point to 9.6 x to the minus 0.6.
We subtract one from the initial exponents minus the top function 40 + 24 x to the point for times the bottom function's derivative 10 So we have the derivative of four additional 40.4 by the power rule,
we bring down the 0.4 multiplied by four against 1.6 next to the minus 0.6, and we divide all of that by one plus four x to the 40.4 squared.
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what would the graph of the equation look like? y= -3/5x + 3
The graph of the equation y=-3/5+3 will be a straight line
How to determine the graph of a straight line?The graph of a straight line is always straight. The equation is written in slope intercept for where -3/5 is the
The form of an equation in slope intercept form is y=mx+c
Here, m=-3/5
c=3
To draw the line, from the point 3 on the x-axis, rise negative 3 and run 5
The draw the line for form a straight line
Note that the formula for slope is
S=rise/run
In conclusion, the equation forms a straight line.
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Anthony the anteater requires 1800 calories each day. He gets 1 calorie from every
50 ants that he eats. If he sticks his tongue out 150 times per minute and averages 2
ants per lick, how many hours will it take for him to get 1800 calories?
Answer: 5 hours
Step-by-step explanation:
1800cal/day
a= ants
50a= 1 cal
150 licks per minute, 2 ants per lick--- 2*150 = 300 ants per minute
6*50a= 1 cal*6
-- 300a = 6cal
The anteater can get a avg of 6 calories per minute.
6*60 = 360
We can make a equation:
x =calories
360x = 1800
360/360x = 1800/360
x = 5
It would take the anteater a total of 5 hours to withdraw 1800 calories from ants. This is 300*60*5 ants!
To check:
360(5)=1800
1800=1800
Select the graph that matches the system of inequalities. 2x – y ≤ 3 x – 2y ≥ –2
Answer:
Step-by-step explanation:
Graph A