Answer:
To graph the system of equations:
1. Rewrite the equations in slope-intercept form (y = mx + b):
y = -2x + 4
3y = -6x + 12
y = -2x + 4
2. Plot the y-intercept of the first equation, which is (0, 4). Then use the slope of -2 (rise of -2 and run of 1) to plot additional points and draw the line.
3. Plot the y-intercept of the second equation, which is (0, 4). Then use the slope of -2 (rise of -2 and run of 1) to plot additional points and draw the line.
The solution to the system of equations is the point where the two lines intersect. From the graph, we can see that the lines intersect at the point (2, 0).
Therefore, the solution to the system of equations by graphing is:
x = 2
y = 0
Answer box: (2, 0)
Determine the isoelectric point (pI) for histidine.
pKC = 1.80, pKN = 9.33, and pKR = 6.04
Select one:
a. 1.80
b. 3.92
c. 6.04
d. 7.68
e. 9.33
The isoelectric point (pI) for histidine is 3.92. The correct answer is option (b).
To determine the isoelectric point (pI) for histidine, we need to consider the pKC, pKN, and pKR values, which are 1.80, 9.33, and 6.04, respectively. The isoelectric point is the pH at which the amino acid has a neutral charge.
Step 1: Identify the two relevant pK values. Since histidine has three ionizable groups, we need to find the two pK values that involve the amino and carboxyl groups. These are pKC (1.80) and pKR (6.04).
Step 2: Calculate the average of these two pK values: (1.80 + 6.04) / 2 = 3.92.
The isoelectric point (pI) for histidine is 3.92, which corresponds to option b. This means that at a pH of 3.92, histidine will have a neutral charge.
To know more about isoelectric point click here
brainly.com/question/31609011
#SPJ11
Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)
P(â2.14 ⤠z ⤠â0.33) =
The probability P(-2.14 ≤ z ≤ -0.33) is approximately 0.3545, rounded to four decimal places.
To find the probability P(-2.14 ≤ z ≤ -0.33) for a random variable z with a standard normal distribution, follow these steps:
1. Identify the given values: Lower bound = -2.14 and Upper bound = -0.33.
2. Use a standard normal distribution table or calculator to find the area to the left of each bound (also known as the cumulative probability or z-score).
3. For the lower bound, find the area to the left of -2.14. Let's call this value A1.
4. For the upper bound, find the area to the left of -0.33. Let's call this value A2.
5. Subtract the area of the lower bound from the area of the upper bound to find the probability between the two bounds: P(-2.14 ≤ z ≤ -0.33) = A2 - A1.
Using a standard normal distribution table or calculator:
A1 (area to the left of -2.14) = 0.0162
A2 (area to the left of -0.33) = 0.3707
Now, subtract A1 from A2 to find the probability between the two bounds:
P(-2.14 ≤ z ≤ -0.33) = A2 - A1 = 0.3707 - 0.0162 = 0.3545
Therefore, the probability P(-2.14 ≤ z ≤ -0.33) is approximately 0.3545.
To know more about probability click here
brainly.com/question/30034780
#SPJ11
Use your expression to find the total cost of delivering 5 lunches.
The expression to be used to find the cost of ordering n lunches is 3.50 + 6.25n.
The total cost of delivering 5 lunches is $34.75.
Given that,
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers.
Cost of each lunch = $6.25
One time delivery fee = $3.50
For delivering n lunches,
Total cost = 3.50 + 6.25n, which is the required expression.
When n = 5,
Total cost = 3.50 + (6.25 × 5) = $34.75
Hence the total cost of ordering 5 lunches is $34.75.
Learn more about Expressions here :
https://brainly.com/question/29583350
#SPJ1
The complete question is given below.
Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50 to deliver the lunches. What expression could Mr. Jackson use to find the cost of ordering n lunches?
Use your expression to find the total cost of delivering 5 lunches.
All of the following are examples of joint hypotheses on multiple regression coefficients, with the exception of:
(A)H0: 3/2 = 1 and 4 = 0
(B) H0:1 + 2 = 1.
(C) H0: 1 = −2 and 1 + 2 = 1.
(D) H0: 2 = 0 and 3 = 0.
The correct answer of joint hypotheses on multiple regression coefficients ption (D) is the exception in this case.
In multiple regression analysis, joint hypotheses involve the null hypothesis of equality or inequality between two or more regression coefficients.
Option (A) H0: 3/2 = 1 and 4 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two regression coefficients.
Where the coefficients are 3/2 and 1, and another null hypothesis of inequality between a coefficient and zero, where the coefficient is 4.
Option (C) H0: 1 = −2 and 1 + 2 = 1 is an example of a joint hypothesis that involves the null hypothesis of equality between a coefficient and a negative value.
Where the coefficient is 1, and another null hypothesis of equality between the sum of two coefficients and a value, where the coefficients are 1 and 2.
Option (D) H0: 2 = 0 and 3 = 0 is an example of a joint hypothesis that involves the null hypothesis of equality between two coefficients and zero, where the coefficients are 2 and 3.
However,
Option (B) H0:1 + 2 = 1 is not a joint hypothesis involving regression coefficients.
It is simply an equation involving two constants, 1 and 2, and the null hypothesis states that their sum is equal to 1.
For similar question on joint hypotheses on:
https://brainly.com/question/31054185
#SPJ11
Chad can red 6 pages for 9 minutes randy can read 11 pages in 16 minutes who reads the fastes
Answer:
Randy read fastest
Step-by-step explanation:
Chad can read 6 pages for 9 minutes
6 / 9 ≈ 0.66 pages per minute
Randy can read 11 pages in 16 minutes
11 / 16 ≈ 0.68 pages per minute
Who reads the fastest?
0.68 > 0.66
So, Randy read the fastest.
Standardizing makes the following change(s) to a distribution:
I. Shifts the distribution by subtracting the mean.
II. Rescales the distribution by dividing by the standard deviation.
III. Changes the skewness or symmetry of the distribution.
IV. Creates outliers.
The correct answer is II. Rescales the distribution by dividing by the standard deviation. This transformation does not change the shape or skewness of the distribution and does not create outliers.
How does standardizing a distribution affect the mean and standard deviation ?Standardizing a distribution means converting it into a standard normal distribution with a mean of 0 and a standard deviation of 1.
This is achieved by subtracting the mean from each value and then dividing by the standard deviation.
Standardizing does not shift the distribution, change its skewness or symmetry, or create outliers.
Standardizing a distribution involves transforming the original data so that it has a mean of 0 and a standard deviation of 1.
This transformation is useful because it allows for comparisons between variables that may be measured on different scales, and it simplifies the interpretation of statistical results.
Standardizing does not change the shape or skewness of the distribution, nor does it create outliers.
Learn more about Standardizing
brainly.com/question/15287326
#SPJ11
Sam decides to build a square garden. If the area of the garden is 9x^2 - 24x + 16 square feet, what is the length of the garden.
The length of the square garden is s = ( 3x - 4 ) feet
Given data ,
Let the length of the square garden be s
Now , The area of a square is given by the formula A = s², where s is the length of one side of the square.
We are given that the area of the garden is:
A = 9x² - 24x + 16
To find the length of the garden, we need to take the square root of the area:
s = √(A)
Substituting the given expression for A, we get:
s = √(9x² - 24x + 16)
We can simplify this expression by factoring the quadratic under the square root sign:
s = √[(3x - 4)(3x - 4)]
Using the property that the square root of a product is equal to the product of the square roots, we can simplify further:
s = (3x - 4)
Hence , the length of the garden is 3x - 4 feet
To learn more about area of square click :
https://brainly.com/question/17707380
#SPJ1
Suppose that there are 400 students taking a biology course. 50 of the students are computer science majors. 213 of the students are biology majors and 44 of the students are double majoring in both computer science and biology. How many of the students taking the biology course are neither of these majors
225 students taking the biology course are neither computer science nor biology majors.
To find out how many students taking the biology course are neither computer science nor biology majors, we can use the following steps:
Determine the total number of students majoring in computer science, biology, or both.
- Computer science majors: 50 students
- Biology majors: 213 students
- Double majors (both computer science and biology): 44 students
Subtract the double majors from the individual major counts to find the unique number of students in each major.
- Unique computer science majors: 50 - 44 = 6 students
- Unique biology majors: 213 - 44 = 169 students.
Add the unique number of students in each major.
- Total unique majors: 6 (computer science) + 169 (biology) = 175 students
Subtract the total unique majors from the total number of students taking the biology course to find the number of students who are neither of these majors.
- Neither major: 400 (total students) - 175 (unique majors) = 225 students.
For similar question on computer.
https://brainly.com/question/30317504
#SPJ11
A ladybug starts at the center of a 12.0 in .-diameter turntable and crawls in a straight radial line to the edge. While this is happening, the turntable turns through a 45.0 ∘ angle.
Part A
Find the magnitude of the ladybug's displacement vector.
Part B
Find the direction of the ladybug's displacement vector.
The turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.
Part A:
The radius of the turntable is half of the diameter, which is 6.0 in. The ladybug crawls in a straight radial line to the edge, which means its displacement vector is equal to the radius of the turntable. Therefore, the magnitude of the ladybug's displacement vector is 6.0 in.
Part B:
The direction of the ladybug's displacement vector is the same as the direction of the radial line from the center of the turntable to the edge. This direction can be described by the angle between the positive x-axis and the radial line.
Since the turntable turns through a 45.0 degree angle, the radial line also rotates by 45.0 degrees. Therefore, the direction of the ladybug's displacement vector is 45.0 degrees counterclockwise from the positive x-axis.
Visit here to learn more about displacement vector : https://brainly.com/question/30466999
#SPJ11
2. Jada and Priya are trying to solve the equation. 2
3 + x = 4
• Jada says, "I think we should multiply each side by
3
2because that is the reciprocal
of
2
3. "
• Priya says, "I think we should add −
2
3to each side because that is the opposite of
2
3. "
a. Which person’s strategy should they use? Why?
b. Write an equation that can be solved using the other person’s strategy
Both Jada and Priya are correct in solving the given equation, they both get the solution as 10/3.
The given equation is 2/3+x=4.
Jada says, "I think we should multiply each side by 3/2
By multiplying 3/2 to the equation, we get
1+3/2 x=12/2
1+3/2 x=6
3x/2 =5
3x=10
x=10/3
Priya says, "I think we should add -2/3.
By adding -2/3 to the equation, we get
2/3+x=4
2/3+x-2/3=4-2/3
x=(12-2)/3
x=10/3
Hence, both Jada and Priya are correct in solving the given equation, they both get the solution as 10/3.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ4
In the model ln(Yi) = β0 + β1 * Xi + ui, the elasticity of Y with respect to X is ...
In the model ln(Yi) = β0 + β1 * Xi + ui, the elasticity of Y with respect to X is equal to β1.
The model is given in a logarithmic form: ln(Yi) = β0 + β1 * Xi + ui.
Elasticity measures the percentage change in one variable (Y) in response to a 1% change in another variable (X).
In a semi-logarithmic model like this, the coefficient of the independent variable (β1) directly represents the elasticity of Y with respect to X.
Therefore, the elasticity of Y with respect to X is β1.
Keep in mind that this result holds true for a semi-logarithmic model, where the dependent variable (Y) is in its natural logarithmic form, and the independent variable (X) is in its original form.
For similar question on elasticity.
https://brainly.com/question/30825283
#SPJ11
A balloon is rising vertically up according to the position equation h(t)=0.2t^2, where h is measured in meters and t in seconds. A camera on the ground is filming the balloon’s ascend 300 meters from the balloons launch site. If x in the angle of elevation of the camera, find the rate of x, in rad/s, at 1 minute after the launch.
Hudson is performing an experiment by tossing a paper cup into the air and recording how it lands. He
determines that there are three possible outcomes for how the cup will land: on its top, on its bottom, or
on its side. He is curious if the three outcomes are equally likely. The table below shows the results of
Hudson's experiment.
Outcome Frequency
Top 4
1
Bottom
Side
25
a. What is the approximate probability that on the next toss, the paper cup will land on its top? On its
bottom? On its side? Express each answer as a percentage.
b. From the results of Hudson's experiment, do the three outcomes appear to be equally likely? Explain
your reasoning using complete sentences.
Answer:
We can expect that there's roughly about a chance of just over thirteen percent (13.3%) for the cup to land with strength and balance delicately upon its top surface, on the other hand there's a lesser likelihood at roughly three percent (3.3%) for it to come crashing down with force onto its bottom surface instead when dropped from an unpredictable height above ground level, yet this same unpredictable force works in favor as much as against us for getting sort after results; hence, in approximately eight out of every ten times (80 %), we may find ourselves relieved to see and hear when said dishware lands gracefully and at peace lying upon one or other long edges.
Answer:
A. The approximate probability that on the next toss, the paper cup will land on its top is 20% , on its bottom is 10%, and on its side is 70%.
B. The three outcomes appear to not be equally likely. Looking at the graph, we can see the side heavily outweighs the top or bottom by a lot. If we look at it this way, 25/30 for side, 1/30 for bottom, and 4/30 for top, the side has a much better chance of landing than any of the others combined.
Step-by-step explanation:
Geometry lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hecagon
A) The compound event will have a sample size of 25.
B) The new sample size will be 36.
Any event with many sample points is referred to as a compound event. Compound events are more complex than simple events. These incidents carry the risk of additional occurrences. The probability of every potential result of a compound event is one.
A compound event is one that comprises two or more simple occurrences. In contrast to complex events, which can have a range of diverse results, simple events can only have one outcome.
Given,
Number of buttons in a container = 5
Lucas picks one button, replaces it and then picks another.
A sample size of the compound event
n = 55
n = 25
Now, one more button is added to the container and in total there are 6 buttons. Lucas repeats the same process again and hence,
A sample size of the new compound event will be,
n = 66
n = 36
To know more about compound events
brainly.com/question/12314211
#SPJ1
The complete question is given below.
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is ___ Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____
Average runs scored by 11 players of a cricket teams 23 runs.If the first player scored 113 runs . Find the average runs of the remaining players?
The remaining players have scored an average of 14 runs each.
The total runs scored by the 11 players are:
11 players * 23 runs/player = 253 runs
If the first player scored 113 runs, then the remaining 10 players must have scored:
253 total runs - 113 runs scored by the first player = 140 runs
To find the average runs scored by the remaining players, we divide the total runs scored by the remaining 10 players by the number of players:
Average runs scored by remaining 10 players = 140 runs / 10 players = 14 runs/player
Therefore, the average runs scored by the remaining players is 14 runs per player.
Learn more about Mean here:
https://brainly.com/question/521501
#SPJ1
p(a)=|-2a-2| evaluate the function
P(a) = |-2a-2|, P(a) can be evaluated by substituting the value of a into the expression and simplifying. The range of P(a) is [0, ∞) with a minimum value of 0 at a = -1.
The function P(a) is defined as P(a) = |-2a-2|.
To evaluate P(a) for a given value of a, we substitute the value of a into the expression |-2a-2| and simplify.
For example, if a = 3, then P(3) = |-2(3)-2| = |-8| = 8.
To find P, we need to find the range of possible values that P(a) can take as a varies over all real numbers. Since |-2a-2| is always non-negative, the minimum value of P(a) is 0, which occurs when -2a-2 = 0, or a = -1.
For any other value of a, |-2a-2| is positive, so P(a) is always positive. Therefore, the range of P(a) is [0, ∞).
To know more about function:
https://brainly.com/question/12431044
#SPJ1
Yall i swear im not smart or smth please yall explain on how to do 65.900-23.477
A _______ specifies the number of instances of one entity that can be associated with each instance of another entity.
The term that fits in the blank is "cardinality". Cardinality refers to the number of instances of one entity that can be linked to a certain number of instances of another entity. In other words, it defines the relationship between entities and how they can be associated with each other.
For instance, if we consider two entities, "employee" and "department", the cardinality between them would determine the number of employees that can be associated with each department. It can be "one-to-one", "one-to-many", "many-to-one", or "many-to-many".
The cardinality of an entity relationship is an important factor to consider while designing a database as it helps in creating efficient and effective database structures. It helps to ensure data integrity and avoid data redundancy. By specifying the cardinality, we can also define the minimum and maximum number of instances that are allowed for each entity. Overall, cardinality plays a crucial role in determining the relationship between entities and how they interact with each other within a database system.
learn more about cardinality here: brainly.com/question/29623755
#SPJ11
The term that fits in the blank is "cardinality". Cardinality refers to the number of instances of one entity that can be linked to a certain number of instances of another entity. In other words, it defines the relationship between entities and how they can be associated with each other.
For instance, if we consider two entities, "employee" and "department", the cardinality between them would determine the number of employees that can be associated with each department. It can be "one-to-one", "one-to-many", "many-to-one", or "many-to-many".
The cardinality of an entity relationship is an important factor to consider while designing a database as it helps in creating efficient and effective database structures. It helps to ensure data integrity and avoid data redundancy. By specifying the cardinality, we can also define the minimum and maximum number of instances that are allowed for each entity. Overall, cardinality plays a crucial role in determining the relationship between entities and how they interact with each other within a database system.
learn more about cardinality here: brainly.com/question/29623755
#SPJ11
In ANOVA, the factor refers to __________________.
a. the independent variable.
b. the dependent variable.
c. the different levels of the variable being studied.
d. the experimenter
In ANOVA, the factor refers to the different levels of the variable being studied.
So, the correct answer is C.
What's meant by factor in ANOVA?Specifically, it refers to the independent variable that is being manipulated and its effect on the dependent variable.
The experimenter is the person conducting the study and manipulating the independent variable, but the factor specifically refers to the levels of the variable being studied.
The content loaded in 120 words would explain the concept of factors in ANOVA and how they relate to the independent and dependent variables in the study. It would also clarify that the experimenter is not the same as the factor being studied.
Learn more about ANOVA at
https://brainly.com/question/31830194
#SPJ11
y = 2x- 5 solve for x
To solve for x, we need to isolate x on one side of the equation.
Starting with the given equation:
y = 2x - 5
Add 5 to both sides:
y + 5 = 2x
Divide both sides by 2:
(x = (y + 5)/2)
Therefore, the solution for x is x = (y + 5)/2.
Alan has a patio that is in the shape of a rectangle with an area of 1000 n². He has decided to expand the patio so that it can hold more
furniture. The new patio will be a larger rectangle. The current patio has a length of 50 ft and a width of 20 ft. He plans on making the new
length 2 times the current length and the new width 3 times the current width.
(a) Fill in the blanks to describe the size of Alan's new patio.
New length
New width
New area
Oft
OR
On²
(b) How will the expansion change the area of the patio?
The area of the new patio will be times the area of the current patio.
(c) Alan's friend Charmaine also wants to expand her rectangular patio. Charmaine wants her new patio to be a rectangle that
has 27 times the area of her current patio. She goes to Alan for advice. Fill in the blank so that Alan's advice to Charmaine is
correct.
Make the new length 3 times the current length, and make the new width times the current width.
8
X
Español
Answer:
a)
new length: 100ft
new width: 60ft
new area: 6000ft
b) 6
c) 9
Step-by-step explanation:
a)
length: 50ft x 2 = 100ft
width: 20ft x 3 = 60ft
area (length x width): 100ft x 60ft = 6000ft
b) 6000ft ÷ 1000ft = 6
c) 27 ÷ 3 = 9
If there is no difference between your groups in ANOVA, then F should _____________.
a. be close to 0.
b. be close to 1.
c. be much greater than 1.
d. Get lost!
there is no difference between your groups in ANOVA, then F should be close to 1.
So, the correct answer is B.
What's F statistic for?In an Analysis of Variance (ANOVA), the F statistic is used to determine if there are significant differences between the means of your groups.
If there is no difference between your groups in ANOVA, then the F statistic should: b. be close to 1.
This is because the F statistic compares the between-group variability to the within-group variability.
When there is no significant difference between the groups, these variabilities are approximately equal, and their ratio (the F statistic) approaches 1.
Learn more about ANOVA at
https://brainly.com/question/23638404
#SPJ11
I need help asap please help
The new balance after one month, given the finance charge and the down payment would be C. $2,114. 56
How to find the new balance ?First, find the monthly interest :
= 16 % / 12
= 0. 013333
Then, get the interest in the first month on the loan :
= 2, 200 x 0. 013333
= $ 29.33
The amount that goes to the principal as repayment is:
= Monthly payment - interest
= 114. 66 - 29. 33
= $ 85. 33
The remaining loan balance is then :
= 2, 200 - 85. 33
= $ 2, 114. 56
Find out more on loan balance at https://brainly.com/question/16387657
#SPJ1
The line plots represent data collected on the travel times to school from two groups of 15 students. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times. A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times. Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
What does the ordered pairs 2/30 tell me about the number of windows repaired
Answer:
There could have been 30 windows and only two of the have been repaired
Step-by-step explanation:
That is what I think
Give your answer as a column vector.
The solution to the vector is a - 5b = (38,-13).
Understanding VectorVector is a mathematical object that has both magnitude (or length) and direction. Vectors are often represented by an arrow in a Euclidean space, where the arrow's length represents the magnitude and the arrow's direction represents the vector's direction. A vector can be expressed in terms of its components, which are its projections onto the coordinate axes of the space in which it lies.
From the image attached, we can solve the vector as below:
a - 5b = (8,7) - 5(-6,4)
a - 5b = (8,7) + (30,-20)
a - 5b = (8+30, 7-20)
a - 5b = (38,-13)
Final answer is: a - 5b = (38,-13).
Learn more about vector here:
https://brainly.com/question/25705666
#SPJ1
how do we test statistical significance?
what is it?
P >.05 ? P <.05 ?
Statistical significance is a measure used to evaluate whether a relationship between variables or a result obtained from a study is likely to be genuine or merely due to chance. It is determined through hypothesis testing, where researchers compare the collected data with a null hypothesis, which assumes that there is no significant relationship between the variables being studied.
To test statistical significance, researchers typically use a significance level, denoted by the symbol α (alpha). A common value for α is 0.05, which corresponds to a 5% chance of committing a Type I error (incorrectly rejecting the null hypothesis). In this context, P-values are calculated to help assess statistical significance.
The P-value is the probability of obtaining results as extreme as, or more extreme than, those observed under the assumption that the null hypothesis is true. If the P-value is less than α (e.g., P < 0.05), the results are considered statistically significant, and the null hypothesis is rejected. This indicates that the observed relationship is likely not due to chance. On the other hand, if the P-value is greater than α (e.g., P > 0.05), the results are not statistically significant, and there is insufficient evidence to reject the null hypothesis.
In conclusion, testing statistical significance involves comparing P-values with a predetermined significance level (α) to determine if the observed results are likely genuine or due to chance. A P-value less than α (e.g., P < 0.05) suggests a statistically significant relationship, while a P-value greater than α (e.g., P > 0.05) indicates insufficient evidence to support the relationship.
learn more about Statistical significance here: brainly.com/question/15848236
#SPJ11
2. Compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings.
The probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings is approximately 0.00000027 or 2.7 in 10 million.
To compute the probability of randomly drawing seven cards from a deck of cards and getting three Jacks and two Kings, we can use the formula for hypergeometric probability.
The number of ways to draw three Jacks and two Kings from a deck of cards is given by:
(4 choose 3) * (4 choose 2) = 6 * 6 = 36
where (n choose k) represents the number of ways to choose k items from a set of n items.
The total number of ways to draw seven cards from a deck of cards is given by:
(52 choose 7) = 133,784,560.
So the probability of getting three Jacks and two Kings when drawing seven cards from a deck of cards is:
36 / 133,784,560 ≈ 0.00000027.
For similar question on probability.
https://brainly.com/question/27371271
#SPJ11
hypothesis that researcher tries to DISPROVE or REJECT. explain
A hypothesis is a tentative explanation for a phenomenon that is based on limited evidence and requires further investigation to be confirmed or rejected. When a researcher conducts a study, they formulate a hypothesis that they seek to test through their research.
In scientific research, a researcher aims to disprove or reject their hypothesis rather than prove it. This is because it is impossible to prove a hypothesis with complete certainty, but it is possible to gather evidence that contradicts it. By trying to disprove or reject their hypothesis, a researcher can either find evidence to support their hypothesis or identify flaws in their reasoning that they can address in future research.
For example, a researcher might hypothesize that a new drug will improve memory in Alzheimer's patients. To test this hypothesis, the researcher would administer the drug to a group of Alzheimer's patients and compare their memory performance to a control group that received a placebo. If the results show that the drug did not improve memory performance, the researcher would reject their hypothesis and revise their understanding of the drug's effects.
In conclusion, a hypothesis is a tentative explanation that a researcher tries to disprove or reject through their research. By doing so, they can either find evidence to support their hypothesis or identify flaws in their reasoning that they can address in future research.
learn more about the hypothesis here: brainly.com/question/21092528
#SPJ11
1. Domain is all real numbers except ____
2. Range is all real numbers except ____
3. Interval of increase is all real numbers except ____
4. Horizontal asymptote: ____
5. Vertical asymptote: ____
Domain is all real numbers except -2.
Range is all real numbers except 0.
Interval of increase is all real numbers except -2.
Horizontal asymptote: y = 0.
Vertical asymptote: x = -2.
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of this rational expression (function) [tex]y=-\frac{1}{x+2}[/tex] shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = (-∞, -2) U (-2, ∞); {x|x ≠ -2}.
Range = (-∞, -1/7) U (0, ∞); {y|y ≠ 0}.
Read more on domain here: brainly.com/question/17003159
#SPJ1
