The inverse of the given linear function is of:
R^(-1)(x) = (x - 2)/3
The graph is given at the end of the answer.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.For function R, in blue, we have that when x = 0, y = 2, hence the intercept is of b = 2 and:
R(x) = mx + 2.
When x = 1, y= 5, when x = 2, y = 8, that is, when x changes by 1 y changes by 3, meaning that the slope is of m = 3, and:
R(x) = 3x + 2.
How to find the inverse function?To find the inverse function, we exchange x and y in the original function, then isolate y.
For function R(x), we have that:
y = 3x + 2.
Then the inverse is found as follows:
x = 3y + 2
3y = x - 2
y = (x - 2)/3
R^(-1)(x) = (x - 2)/3
The graph of R(x) in blue and of R^(-1)(x) in blackis given at the end of the answer. Since they are inverses, they are symmetric over the line y = x.
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A satellite TV company offers two plans. One plan costs $115 plus $30 per month. The other plan costs $60 per month. How many months must Alfia have the plan in order for the first plan to be the better buy?
A book costs $10 at one book store. About how much more does the book cost when the book store increases its prices 18%?
$11.80
Step-by-step explanation:
Guys plz help Answer this Question!!!!!
Answer:
X intercept is (-40,0) why intercept is (0,15)
Step-by-step explanation:
youyou will be able to tell this by looking at the graph and counting where the points are
I do not know how to find the x in this situation can anyone help?
Answer and Step-by-step explanation:
Essentially, the figure FEHG got scaled by a factor of 1.5, and turned into BADC
So 2.4 times 1.5 is 3.6
3.6 = x
Hope this helps! #teamtrees #WAP (Water And Plant)
Answer:
The x would be 3.6
Step-by-step explanation:
If you see the relation or ration between the ABCD triangle and the EFGH then we can see that the side 2 is multiplied by 1.5 to get to 3. so you do the same thing to 2.4 and multiple that by 1.5 and 3.6.
Suppose the probability of event E is 1. Then a. it is impossible for event E to occur. b. event E will definitely occur. c. event E is disjoint. d. event E is dependent.
If the probability of event E is 1, then event E will definitely occur. Therefore, the correct answer is b.
It is important to note that if the probability of an event is 1, then it is certain to occur and there is no possibility of it not occurring. This means that event E is not impossible (a), not disjoint (c), and not dependent (d) since it will occur regardless of any other events. Based on the information provided, if the probability of event E is 1, then option b. event E will definitely occur. This is because a probability of 1 indicates that the event is certain to happen.
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four equal charges, q, are placed at the corners of a square of side l. the potential at the center of the square is:
The potential at the center of the square due to the four equal charges is (8k * q) / l.
To find the potential at the center of the square due to the four charges, we can calculate the electric potential at that point due to each charge individually and then sum them up.
Given:
Four equal charges, q, placed at the corners of a square of side length l.
The center of the square is at the center of the coordinate system.
The electric potential, V, at a point due to a point charge q is given by the formula:
V = k * q / r
Where:
k is the electrostatic constant (k = 9 * 10^9 Nm^2/C^2)
q is the magnitude of the charge
r is the distance from the charge to the point
Since the charges are placed at the corners of a square, the distance from each charge to the center of the square is l/2. Thus, the potential at the center due to each charge is:
V = k * q / (l/2) = 2k * q / l
Since all four charges are equal, the total potential at the center of the square is the sum of the potentials due to each charge:
V_total = 2k * q / l + 2k * q / l + 2k * q / l + 2k * q / l
V_total = (8k * q) / l
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The potential at the center of the square is the sum of the potentials due to each charge, which can be calculated using the formula V = k * q / r. Since the charges are placed at the corners of the square of side l, the distance from the center of the square to each charge is sqrt(2) * l/2. Therefore, the potential at the center is (4 * sqrt(2) * k * q) / l.
Explanation:
The potential at the center of the square can be found by considering the contributions from each of the four charges. Since the charges are equal and placed at the corners of the square, the electric field at the center will be zero. Therefore, the potential at the center of the square is simply the sum of the potentials due to each charge.
The potential due to a single charge can be calculated using the formula:
V = k * q / r
where V is the potential, k is the electrostatic constant (approximately 9 x 10^9 Nm^2/C^2), q is the charge, and r is the distance.
Since the charges are placed at the corners of the square of side l, the distance from the center of the square to each charge is sqrt(2) * l/2. Plugging in these values, we get:
V = 4 * (k * q / (sqrt(2) * l/2))
V = (4 * sqrt(2) * k * q) / l
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Please help with this problem g(0)=9, g(8)=7
The equation of the line is g(x) = -1/4x + 9.
Given,
g(0) = 9
g(8) = 7
Here,
We can consider this as points:
(x₁, y₁) = (0, 9)
(x₂, y₂) = (8, 7)
Now lets find the slope of the line.
Slope, m = (y₂ - y₁) / (x₂ - x₁)
Slope, m = (7 - 9) / (8 - 0)
Slope, m = -2/8
Slope, m = -1/4
Now, the slope-intercept form:
y = mx + b
here,
9 = -1/4 × 0 + b
9 = b
Now,
equation of line,
y = -1/4x + 9
That is,
g(x) = -1/4x + 9
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Slope = -2/5, contains the point (10,3)
Answer: if this is supposed to be in slope-intercept form
the equation would be: y = -2/5x + 7
Step-by-step explanation:
so the slope is: -2/5 and the point is (10,3) considering that x = 10 and y = 3
so we would plug this information into this equation: y = mx + b (slope-intercept form)
3 = -2/5(10) + b
3 = -4 + b
b = 7
and if we plug this in:
y = -2/5x + 7
For each of the following indicate the idealized survivorship curve being described.
-Type 1 survivorship curve: Asian elephants, which exhibit the highest death rate late in life, primate species that have few offspring and high levels of parental care.
- Type 2 survivorship curve: a songbird species for which the chance of death is approximately equal throughout its lifespan.
- Type 3 survivorship curve: a plant for which the majority of seedlings do not survive more than a few days, a frog species that lays massive numbers of eggs in the water , most of which will not survive sexual maturity.
Type 1 survivorship curve: Asian elephants and primate species that have few offspring and high levels of parental care.
Type 2 survivorship curve: a songbird species.
Type 3 survivorship curve: a plant and a frog species that lays massive numbers of eggs.
How can we classify the survivorship curves based on the given examples?Survivorship curves classify the pattern of mortality (death rate) within a population over the lifespan of individuals. Type 1 survivorship curves are characterized by high survival rates until late in life, followed by a rapid increase in death rate.
This pattern is observed in long-lived species like Asian elephants and primate species with low reproductive rates and extensive parental care.
Type 2 survivorship curves have a relatively constant death rate throughout the lifespan. This is exemplified by songbird species where the chance of death remains roughly equal across different age groups.
Type 3 survivorship curves indicate high mortality rates early in life and a steep decline in death rate thereafter. This is seen in plants with low seedling survival rates and frog species that lay large numbers of eggs, of which only a few reach sexual maturity.
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What is the product of 2 over 3y and y?
12 over 3y
2 over 3
2 over 3y
22 over 3y
The product of 2/3y and y is \(2/3y^2.\)
The product of 2/3y and y can be found by multiplying the numerators and denominators separately.
To multiply the numerators, we multiply 2 and 1 (since y can be written as y/1).
This gives us 2.
To multiply the denominators, we multiply 3y and 1.
This gives us 3y.
Therefore, the product of 2/3y and y is \(2/3y * y =\) \(2/3y^2.\)
In general, when multiplying fractions, we multiply the numerators and the denominators separately.
So, if we have a fraction a/b and another fraction c/d, their product would be ac/bd.
However, in this specific case, the expression can be simplified further.
Since we have y in both the numerator and denominator, they cancel out, leaving us with \(2/3y^2.\)
To summarize, the product of 2/3y and y is \(2/3y^2.\)
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look at photo MATHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
The fraction is 47/200. The decimal is 0.235.
A percentage can be written in a fraction form by putting 100 on the denominator. For example, the fraction corresponding to x % is x/100.
For converting a percentage into a decimal first it should be converted into fractions as fractions can only be converted into decimal.
For example, the decimal for the fraction 50% is 0.5, which is given by writing 50% as 50/100 = 0.5 after putting decimal on 2 places left to 50.
So here the given percentage is 23.5%.
The corresponding fraction is 23.5/100 = 235/1000 = 47/200 after eliminating the decimal on the numerator and simplifying.
Now the corresponding decimal is, 0.235. Since 1000 is in the denominator for 235/1000, we can simply find the decimal by putting decimal point on 3 places left to 235.
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Help I don't know how to do this
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
Find the distance between the pair of points given on the graph.
Answer:
√74
Step-by-step explanation:
49 + 25
if brainly deletes this answer, i swear this community is going down in the dumps
Answer:
\(\sqrt{74}\) = 8.6
Step-by-step explanation:
use distance formula
points are (4,2) and (-3,-3)
d= \(\sqrt{(x_{2}-x_{1) ^{2} + (y_{2} -y_{1} )^{2} }\)
substitute points into formula
use series to approximate the definite integral i. (give your answer correct to 3 decimal places.) i
To approximate the definite integral using a series, we need to know the function and the interval of integration. Since you haven't provided this information, I am unable to give a specific answer. However, I can provide a general approach for using series to approximate integrals.
One commonly used series for approximating integrals is the Taylor series expansion. The Taylor series represents a function as an infinite sum of terms, which allows us to approximate the function within a certain range.
To approximate the definite integral, we can use the Taylor series expansion of the function and integrate each term of the series individually. This is known as term-by-term integration.
The accuracy of the approximation depends on the number of terms included in the series. Adding more terms increases the precision but also increases the computational complexity. Typically, we stop adding terms when the desired level of accuracy is achieved.
To provide a specific approximation, I would need the function and the interval of integration. If you can provide these details, I would be happy to help you with the series approximation of the definite integral, giving the answer correct to 3 decimal places.
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Use series to approximate the definite integral I. (Give your answer correct to 3 decimal places.) I = int_0^1 2 x cos\(x^2\)dx
Trying again, but im attaching the screenshot this time!
Answer:
the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals 84.
84 is the rectangles area and the area for the trapezoids is 36.
84 plus 18 plus 18 equals 120 squared
binomial expansions for clever cookies
The answers are in the red rectangles with the work.
Let me know if something is unreadable.
Let f(x) = 2x² - 3x and g(x) = 5x - 1.
Find g[f(2)].
g[f(2)] =
Answer:
Step-by-step explanation:
To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).
Let's start by finding f(2):
f(x) = 2x² - 3x
f(2) = 2(2)² - 3(2)
= 2(4) - 6
= 8 - 6
= 2
Now that we have the value of f(2) as 2, we can substitute it into g(x):
g(x) = 5x - 1
g[f(2)] = g(2)
= 5(2) - 1
= 10 - 1
= 9
Therefore, g[f(2)] is equal to 9.
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HELP ME PLEASE!!!!!!
Answer:
171
Step-by-step explanation:
U just add the ones in the circles or venn diagram
What is the tax rate in this city?
Answer:
6%
Step-by-step explanation:
Answer:
7% or 7 cents to the dollar
Step-by-step explanation:
The following results are from an independent-measures, two-factor study with n = 4 participants in each treatment condition. Factor A: Factor B: B₁ B₂ B₃ n = 4 n = 4 n = 4 A₁ M = 11 M = 17 M = 23 T = 44 T = 68 T = 92 SS = 48 SS = 42 SS = 66 n = 4 n = 4 n = 4 A₂ M = 11 M = 5 M = 17 T = 44 T = 20 T = 68 SS = 72 SS = 54 SS = 42 ∑X² = 5,820 Use a two-factor ANOVA with α =. 05 to evaluate the main effects and interaction. Source SS df MS F Between treatments A B A x B Within treatments Total F Distribution Numerator Degrees of Freedom = 6 Denominator Degrees of Freedom = 15 0. 0 1. 0 2. 0 3. 0 4. 0 5. 0 6. 0 7. 0 8. 0 9. 0 10. 0 11. 0 12. 0 F Use the Distributions tool to find the critical F values. (Use three decimal places. ) (Note: Do not use the F-table to answer this question, they do not provide values to three decimal places. ) F-criticalA A = F-criticalB B = F-criticalAxB AxB = Is there a significant main effect for factor A? Is there a significant main effect for factor B? Is there a significant interaction?
The F-values for factor A, factor B, and the interaction (AxB) using the given data. To determine if there are significant main effects and an interaction, we compare these values to the critical F-values at α = 0.05.
To determine if there are significant main effects for factor A and factor B, as well as a significant interaction, we can conduct a two-factor ANOVA analysis using the given data.
First, let's calculate the necessary values. We start by calculating the sum of squares (SS) for each source of variation:
\(SS_b_e_t_w_e_e_n_ t_r_e_a_t_m_e_n_t_s\)= (T₁ - T)²/n + (T₂ - T)²/n + (T₃ - T)²/n
= (44 - 68)²/4 + (44 - 44)²/4 + (44 - 68)²/4
= 24²/4 + 0²/4 + (-24)²/4
= 576/4 + 0/4 + 576/4
= 144 + 0 + 144
= 288
\(SS_w_i_t_h_i_n\) treatments = \(SS_A + SS_B + SS_AxB\)
\(SS_A\)= \((SS_A\)₁ + \(SS_A\)₂) - (T₁²/n + T₂²/n + T₃²/n)
= (48 + 72) - (44²/4 + 44²/4 + 44²/4)
= 120 - (44² + 44² + 44²)/4
= 120 - (44² + 44² + 44²)/4
= 120 - (1936 + 1936 + 1936)/4
= 120 - 5808/4
= 120 - 1452
= -1332
\(SS_B = (SS_B\)₁ + S\(S_B\)₂ \(+ SS_B\)₃) - (T₁²/n + T₂²/n + T₃²/n)
= (42 + 54 + 42) - (44²/4 + 20²/4 + 68²/4)
= 138 - (1936 + 400 + 4624)/4
= 138 - 6960/4
= 138 - 1740
= -1602
\(SS_A_x_B = SS_t_o_t_a_l - SS_b_e_t_w_e_e_n treatments - SS_A - SS_B\)
= ∑X² - \(SS_b_e_t_w_e_e_n_ t_r_e_a_t_m_e_n_t_s\) - SS_A - SS_B
= 5820 - 288 - (-1332) - (-1602)
= 5820 - 288 + 1332 + 1602
= 7464
Next, we calculate the degrees of freedom (df) for each source of variation:
\(df_b_e_t_w_e_e_n\)treatments = number of treatment conditions - 1
= 3 - 1
= 2
\(df_w_i_t_h_i_n\)treatments = total number of observations - number of treatment conditions
= n₁ + n₂ + n₃ + n₄ - 3
= 4 + 4 + 4 + 4 - 3
= 16
\(df_t_o_t_a_l\) = number of total observations - 1
= n₁ + n₂ + n₃ + n₄ - 1
= 4 + 4 + 4 + 4 - 1
= 15
\(df_A\) = number of treatment conditions - 1
= 3 - 1
= 2
\(df_B\) = number of treatment conditions - 1
= 3 - 1
= 2
\(df_AxB = df_A * df_B\)
= 2 * 2
= 4
Now we can calculate the mean squares (MS) for each source of variation:
\(MS_b_e_t_w_e_e_n\)treatments = \(SS_b_e_t_w_e_e_n\) treatments / d\(f_between\)treatments
= 288 / 2
= 144
\(MS_w_i_t_h_i_n\)treatments = \(SS_w_i_t_h_i_n_\)treatments / \(df_within\) treatments
= (-1332 - 1602) / 16
= -2934 / 16
= -183.375 (note: negative value is due to error)
\(MS_A = SS_A / df_A\)
= -1332 / 2
= -666
\(MS_B = SS_B / df_B\)
= -1602 / 2
= -801
\(MS_A_x_B = SS_A_x_B / df_A_x_B\)
= 7464 / 4
= 1866
Finally, we can calculate the F-values:
F_A = MS_A / \(MS_w_i_t_h_i_n\) treatments
= -666 / -183.375
≈ 3.632
F_B = MS_B / \(MS_w_i_t_h_i_n\) treatments
= -801 / -183.375
≈ 4.366
\(F_AxB = MS_AxB\) / \(MS_w_i_t_h_i_n\) treatments
= 1866 / -183.375
≈ -10.173
To determine if there are significant main effects and an interaction, we compare the calculated F-values to the critical F-values for each factor at α = 0.05. The critical F-values can be found using statistical tables or software.
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Use Stokes' Theorem to find the circulation of F = 2y i + 5z j +4x k around the triangle obtained by tracing out the path (4,0,0) to (4,0,2), to (4,5,2) back to (4,0,0).
Circulation = ?F?dr = ?
Stokes' Theorem states that the circulation of a vector field F around a closed curve C in a plane is equal to the surface integral of the curl of F over any surface S bounded by C.
In this case, we have a triangle as our closed curve. To find the circulation of F around the given triangle, we first need to find the curl of F. The curl of F is given by ∇ × F, where ∇ is the del operator. Calculating the curl of F, we have:
∇ × F = (d/dy)(4x) - (d/dz)(2y) + (d/dx)(5z) = 0 - (-2) + 5 = 7.
The circulation of F around the triangle is equal to the surface integral of the curl of F over any surface S bounded by the triangle. Since the triangle lies on the x = 4 plane, we can choose the surface S to be a plane parallel to the x = 4 plane and bounded by the triangle. The surface integral of the curl of F over S is then simply the area of the triangle times the z-component of the curl of F, which is 7. Therefore, the circulation of F around the given triangle is 7.
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Help please (Image attached)
The value of the infinite series as n tends to 0 is: 0
How to estimate infinite series?Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.
From the infinite series, we want to find the value of the series as n tends to 0.
We are given the series as:
x/2ˣ
At x = 0, we have:
0/2⁰ = 0/1 = 0
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a goniometer may be used to measure the range of motion of a joint
A goniometer is a tool used to measure the range of motion of a joint. It helps determine the degrees of flexion and extension of the joint. By using this device, healthcare professionals can assess the mobility and flexibility of a joint.
A goniometer is a simple tool that consists of two arms and a protractor. It is used to measure the range of motion of a joint, such as the shoulder or knee. The arms of the goniometer are aligned with the bones on either side of the joint, and the protractor is used to measure the angle between the arms. This angle indicates the degrees of flexion and extension of the joint.
For example, if a physical therapist wants to assess a patient's knee mobility, they would place the goniometer on the patient's knee joint and measure the angle as the patient moves their leg. This measurement helps determine the extent of movement and any limitations or abnormalities in the joint.
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4 a bucket being filled with water is 3/8 full after 24 seconds. at the same rate, how many more seconds will it take to fill the bucket?
Answer: To fill the whole bucket, it will take 64 seconds so the remaining time is 40 seconds
Step-by-step explanation: As we are given 3/8 th part of the bucket is filled in 24 seconds. So by simply applying the unitary method we can say -
3/8 th part -----> 24 seconds
To fill the whole bucket multiply both sides by 8/3 in order to make the 1 unit of the bucket on the L.H.S, we get
1 bucket ----> 64 seconds.
The remaining times as it already passes 24 seconds and 3/8 th part of the bucket is filled, 64-24 seconds i.e 40 seconds is remaining in which bucket is full.
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Which point on the coordinate plane is a reflection of point A across the y-axis
Im trying to catch up on all my work and this is making me stuck, i havnt done math in a bit so i completely forgot what the heck to do, plz plz plz help!!!
Answer:
The answer is D. 8
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
The base of a cylinder water tank has an area of 28 square feet. When the tank is full it holds 140 cubic feet of water. What is the height?
Answer:
5 feet
Step-by-step explanation:
So you know the cross-sectional area of the circle at the bottom of the cylinder is 28 square feet and you are told the volume of the cylinder is 140 cubic feet which means the height must be 5 feet as the 28 square feet must continue going up to fill the 140 cubic feet.
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
A new drug relieves nasal congestion in 90 percent of those with the condition. The new drug is administered to 300 patients with the condition. What is the probability that more than 265 will be relieved of nasal congestion
The probability that more than 265 patients will be relieved of nasal congestion is approximately 0.0232 or 2.32%.
To calculate the probability that more than 265 patients will be relieved of nasal congestion, we need to use the binomial distribution.
Given:
Probability of relief = 0.9 (90%)
Number of patients = 300
Let's denote X as the number of patients relieved of nasal congestion. X follows a binomial distribution with parameters n (number of trials) and p (probability of success).
In this case, n = 300 (number of patients) and p = 0.9 (probability of relief).
To find the probability that more than 265 patients will be relieved, we need to calculate the cumulative probability for X > 265.
P(X > 265) = 1 - P(X <= 265)
To calculate P(X <= 265), we can use the cumulative distribution function (CDF) of the binomial distribution.
P(X <= 265) = CDF(300, 0.9, 265)
Using a statistical calculator or software, we can find the cumulative probability:
P(X <= 265) ≈ 0.9768
Therefore,
P(X > 265) = 1 - P(X <= 265)
= 1 - 0.9768
≈ 0.0232
There is a 0.0232 or 2.32% chance that more than 265 people will have their nasal congestion eased.
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Choose an acre of land in Canada at random. The probability is 0.38 that it is forest and 0.07 that it is agricultural. What is the probability that the acre chosen is not forested? Enter your answer to two decimal places. probability: What is the probability that it is either forest or agricultural? Enter your answer to two decimal places probability: IS We provar a randomly chosen acre in Canada is something other than forest or agricultural? Enter your answer to two decimal places. probability:
Probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
As given in the question,
Given probability are:
Probability of chosen the acre of land is forest is equal to 0.38.
Probability of chosen the acre of land is agriculture is equal to 0.07.
Probability of chosen the acre of land as per given conditions are as follow:
a. Let P(A) represents the probability of chosen the acre of land is forest.
Then P(A') is the probability of not forested.
P(A) + P(A') = 1
⇒0.38 + P(A') = 1
⇒ P(A') = 1 - 0.38
⇒ P(A') = 0.62
b. Let P(G) is the probability of chosen acre of land agricultural.
No common land given for forest or agriculture, they are independent events.
P(A∩G) = 0
Probability of chosen the acre of land either forest or agriculture
= P( A or G)
= P(A) + P(G) - P(A∩G)
= 0.38 + 0.07 -0
= 0.45
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
Therefore, probability of chosen the acre of land as per given conditions are as follow:
a. Probability of chosen the acre of land not forested is 0.62.
b. Probability of chosen the acre of land either forest or agriculture is 0.45.
c. Probability of chosen the acre of land other than forest or agriculture is non-forested which is equal to 0.62.
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