4s2 4p1 - electronic configuration corresponds to gallium
Periodic table has 4 different blocks, which are s block, d block, p block, and f block. Each block has corresponding elements which gives its electron configuration
What is group and period?
The systematic arrangement of elements in increasing order of their atomic numbers.Periodic table has 18 groups and 7 periods.The horizontal rows are known as periods.And the vertical columns are known as groups.Prediction of Period ⟶ In electronic configuration of an atom, principal quantum number (n) of valence electrons represents the period of an element.
Prediction of Block ⟶ The orbital out of s,p,d and f which receives last electron represents block of an element
Prediction of Group ⟶ The group prediction occurs with help of block as:-
(1) For s block: Group Number = Number of valence e-
(2) For d block: Group Number = Number of e- in (n−1)d subshell + number of e- in ns subshell
(3) For p block: Group Number = Number of valence
e- + 10
(4) For f-block: Group Number = 3
Lets take an ex of chlorine ( Z= 17 )
Electronic configuration = 1s2 2s2 2p6 3s2 3p5
Since the last e- enters in p - subshell:
(i) Therefore Block will be "p "
(ii) For group we have element in p-block
∴ Group number = 10 + Valence e- in s subshell + Valence e- in p subshell
Group Number = 10+2+5=17
(iii) For period
Quantum number of valence e- =3
∴ Period number = 3
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Here i a lit ingredient to make bicuit
150 butter
75 cater ugar
180 plain flour
50 chocolate chip
jamie ha the following ingredient
800 butter
700 cater ugar
1000 plain flour
200 chocolate chip
what i the greatet number of bicuit, Jamie can make? You mut how your working out
jamie can make more biscuits than lit.
What do you mean by ordering of numbers ?
When you put a list of numbers in order, you rank them from least to greatest or greatest to least.
An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.
Positive numbers are greater than all negative numbers.
According to the question:
lit has ingredients as
150 butter
75 cater sugar
180 plain flour
50 chocolate chip
and Jamie has ingredients as
800 butter
700 cater sugar
1000 plain flour
200 chocolate chip
As 150< 800 , so Jamie has more butter than lit
As 75 < 700 , so jamie has more cater sugar than lit.
As 180< 1000 , so jamie has more plain flour than lit.
As 50< 200 , so jamie has more chocolate chip than lit.
Therefore, jamie has all ingredients more than lit whoch means jamie can make more number of biscuits than lit.
Hence , jamie can make more biscuits than lit.
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a random sample of 85 supervisors revealed that they worked an average of 6.7 years before being promoted. the population standard deviation was 1.9 years. using the 0.95 level of confidence, what is the confidence interval for the population mean?
The required confidence interval for the population mean is (6.296 , 7.104).
What is the confidence interval for the mean?A confidence interval for a populace mean gives potential qualities the genuine populace mean will accompany a specific degree of certainty.
According to question:Standard deviation(S) = 1.9, Mean(x) = 6.7, CL = 0.95 , n = 85
Then, α = 0.05
[tex]Z_{\alpha /2}\\[/tex] = [tex]Z_{0.25}[/tex] = -1.96
Margin of error (E) = [tex]Z_{0.25}\\[/tex] ×S/√85
E = -1.96×1.9/9.21 = 0.404
Then lower level = x-E = 6.7-0.404 = 6.296
Upper level = 6.7+0.404 = 7.104
Thus, required interval is (6.296 , 7.104)
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T/F is the social pattern in which minorities abandon their cultural traditions and become more like members of the dominant group, while members of the dominant group do not have to change.
Yes. The societal trend in which members of the majority group are exempt from having to change while minority are forced to give up their cultural practices.
Given,
Social pattern;-
A social pattern is made up of social behavior types that are repeated and have a chance of happening again. These forms are also influenced by social behaviors in turn. Social behaviors are those that have significance attached to them and are focused on other people or a larger system (Weber)
Here,
The statement is true;
That is, The societal trend in which members of the majority group are exempt from having to change while minority are forced to give up their cultural practices.
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the following people are in a room: 5 men aged 21 and over, 4 men under 21, 6 women aged 21 and over, and 3 women under 21. one person is chosen at random. the following events are defined: a
By using probability, it can be calculated that
a) P(B U D) = [tex]\frac{13}{18}[/tex]
b) P([tex]A^{c} \cap C^{c}[/tex]) = [tex]\frac{1}{6}[/tex]
c) P(B U D) is the probability that the person chosen is either under age 21 or a woman.
P([tex]A^{c} \cap C^{c}[/tex]) is the probability that the person chosen is either not aged above 21 or not a man
What is Probability?
Probability gives us the information about how likely an event is going to occur
Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.
Probability of any event is greater than or equal to zero and less than or equal to 1.
Probability of sure event is 1 and probability of unsure event is 0.
By
Number of men aged 21 and over = 5
Number of men aged under 21 = 4
Number of women aged 21 and over = 6
Number of women under 21 = 3
A = {The person is aged 21 and over}
B = {The person is under 21}
C = {The person is a male}
D= {The person is a female}
Total number of people = 5 + 4 + 6 + 3 = 18
a) P(B U D) = P(B) + P(D) - P(B [tex]\cap[/tex] D) = [tex]\frac{7}{18} + \frac{9}{18} - \frac{3}{18} = \frac{13}{18}[/tex]
b) P([tex]A^{c} \cap C^{c}[/tex]) = [tex]P((A \cup C)^c)[/tex] = [tex]1 - ( \frac{11}{18} + \frac{9}{18} - \frac{5}{18}) = \frac{3}{18} = \frac{1}{6}[/tex]
c) P(B U D) is the probability that the person chosen is either under age 21 or a woman.
P([tex]A^{c} \cap C^{c}[/tex]) is the probability that the person chosen is either not aged above 21 or not a man
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Is the vertex angle of an isosceles triangle congruent to the base angles?.
The vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Given, an isosceles triangle
and we are asked that is vertex angle congruent to the base angles,
Let suppose ABC is an isosceles triangle with AB = AC
as we know that the angles opposite to the equal sides are also equal.
so, ∠ABC = ∠ACB
now, if ∠ABC = ∠ACB = x
then, on using angle sum property, we get
∠ABC + ∠ACB + ∠BAC = 180°
x + x + ∠BAC = 180°
∠BAC = 180° - 2x
as, x ≠ 180° - 2x
therefore, ∠BAC ≠ ∠ABC
So, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Hence, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
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You are the manager of a firm that sells its product in a competitive market at a price of $60. Your firm's cost function is C = 50 + 3Q2. Your firm's maximum profits are: the answer is $250.
For the given cost function, the maximum profit is $250.
What is profit maximization?
According to the firm theory, a company is founded with the intention of maximizing profits.
A company must run at the lowest possible cost while maximizing revenues in order to accomplish this.
When marginal costs and marginal revenue are identical, profits are maximized.
Profit = Total revenue - total costTotal revenue = Selling price - quantity soldTotal cost = Fixed cost + variable cost1. Determine the profit maximizing output.
For a firm in a competitive market, the marginal revenue is equal to the price (MR = P)
Get the MC by differentiating the total cost with respect to the quantity (Q)
C = 50 + 3Q^2
dC / dQ =6Q
MC = 6Q
Profit will be maximized when: MR = MC
MR = MC
60 = 6Q
Q =10
This is the profit maximizing output.
2. To get the maximum profits substitute this value into the equation:
Profit = Total revenue - Total cost
Profit = (P*Q) - (50 + 3Q^2)
Profit = (60*10) - (50 + 3*10^2)
Profit = 600 - 350
Profit = 250
Hence, for the given cost function, the maximum profit is $250.
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each tile in the model represents 1/4. How many titles make a group of 3/4
Answer:
3 tiles
because 1/4+1/4+1/4=3/4
I hope this helps you!
What is the slope of the line that passes through the points (10, 6)(10,6) and (6, 6)(6,6)? write your answer in simplest form.
Answer:
0
Step-by-step explanation:
(6-6)/(6-10)
0/-4
0
at 95% confidence, how large a sample should be taken to obtain a margin of error of 0.04 for the estimation of a population proportion? assume that past data are not available for developing a planning value for
For a 95% confidence, the sample size should be equal to 601 to obtain a margin of error of 0.04 for the estimation of a population proportion.
It is given to us that -
There is 95% confidence
The margin of error is 0.04
We have to do the estimation of the population proportion.
We know that in case of unknown population proportion, we can assume that the value of population proportion can be regarded as 0.5.
It is known that the formula of sample size is given by -
[tex]n =\frac{Z^{2}*p(1-p) }{E^{2} }[/tex] ----- (1)
where,
n = sample size
Z = critical value of Z-value
p = population proportion
E = margin of error
Also, we know that for a 95% confidence interval, Z = 1.960
From the given information, we have
p = 0.5
and E = 0.04
Substituting the values in equation (1), we have
[tex]n =\frac{Z^{2}*p(1-p) }{E^{2} }\\= > n = \frac{(1.960)^{2}*0.5(1-0.5) }{(0.04)^{2} }\\= > n = \frac{3.8416*0.25}{0.0016}\\ = > n = 600.25[/tex]
Since this is the value of minimum sample size, rounding up, we have the sample size as 601.
Therefore, for a 95% confidence, the sample size should be equal to 601 to obtain a margin of error of 0.04 for the estimation of a population proportion.
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What is a correct first step in solving the inequality 4 3 5x ≥ 6x 9?.
The correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9 is through multiplicative distributive property
We will calculate the value of x while showing the first step in solving the inequality, to provide better idea on complete solution. The correct first step is by using multiplicative distributive property as shown -
Rewriting the inequality -
–4(3 – 5x)≥ –6x + 9
Multiplying the values in each side of inequality
-12 + 20x ≥ -6x + 9
Rewriting the inequality according to terms
20x + 6x ≥ 9 + 12
Performing addition on each side of the equation
26x ≥ 21
So, x ≥ 21/26
Hence, the correct step is multiplicative distributive property.
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The complete question is -
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (-1, -3), (3,9)
Line 2: (0, 1), (5, 11)
Answer: neither
Explanation:What we know:
Parallel lines have equal slopesPerpendicular lines have opposite reciprocal slopesOpposite reciprocals, when multiplied, equal -1How to solve:Process:
Slope of line 1
Set up equation y2-y1/x2-x1
Substitute 9-(-3)/3-(-1)
Simplify 12/4
Solve slope = 3
Slope of line 2
Set up equation y2-y1/x2-x1
Substitute 11-1/5-0
Simplify 10/5
Solve slope = 2
Relationship
3 is not equal to 2, so they are not parallel
The opposite reciprocal of 3 is -1/3, which is not equal to 2, so they are not perpendicular
Answer: Neither
Let x be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of x are 1, 2, 3, 4, 5, and 6. The mean of x is 7/2 and the variance of x is 35/12. Let y be the random variable whose value is the difference (first minus second) between the number of dots that appear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of y ?.
Standard deviation is used to measure the depth of a dataset relative to its mean and is taken by the square root of its variance.
The correct option is c.
The mean of X is 7 and the variance is 35.
2 12
Let Y be a random variable.
X and Y are binomials.
E(X-Y) = E (X) - E(Y)
Write the formula for the variance of X and Y.
Var(X-Y) = Var (X) - Var (Y)
where x and y are independent covers (x,y) is 0.
now,
Var(X-Y) = 35 + 35
12 12
Because the standard deviation is the square root of the variance.
S.D = √((35/12) +(35/12))
So the correct option is c.
your question is incomplete but most probably the full question is
Let X be a random variable whose values are the number of dots that appear on the uppermost face when a fair die is rolled. The possible values of X are 1, 2, 3, 4, 5, and 6. The mean of X is 7/2 and the variance of X is 35/12. Let Y be the random variable whose value is the difference (first minus second) between the number of dots that appear on the uppermost face for the first and second rolls of a fair die that is rolled twice. What is the standard deviation of Y
a. √(35/12)
b. √(35/12) + √(35/12)
c. √{(35/12) + (35/12)}
d. √(35/12) - √(35/12)
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a 100-n box is suspended by a rope from an overhead support. if a horizontal force of 58 n is applied to the box, the rope will make an angle with the vertical
When a 100-n box is suspended by a rope from an overhead support and a horizontal force of 58 n is applied to the box, the angle with the vertical is 30.11°.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.
Here,
If the object is held stationary, then all the forces must balance. This is called static equilibrium.
ΣFx=0
Tsinθ−58=0 ——- equation 1
ΣFy=0
Tcosθ−100=0 ——- equation 2
We now have two equation with two unknowns which allows us to solve for the cord tension T and the angle θ .
Using equation 2:
T=100/cosθ
substitute this into equation 1:
(100/cosθ)sinθ=58
or
tanθ=58/100
θ=30.11°
The angle with the vertical is 30.11° as 100-n box is suspended by a rope from an overhead support and if a horizontal force of 58 n is applied to the box.
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An empty bowl weighted 3. 4 pound julian added water that weighted 5. 12 pound and a fih that weighted 0. 7 pound. What i the total weight the bowl including the water and fih
Total weight the bowl including the water and fih is 9.22 pound
What does math add mean?
To add is to integrate or bring two things together. The ability to add more than two numbers is then taught to students by building on this understanding. The foundational concept for understanding more complex operations like multiplication and division in higher grades is addition.
Given that :
An empty bowl weighted = 3.4 pound
A water that weighted = 5.12 pound
A fih that weighted = 0.7 pound
Total weight = A bowl + water + fih = 3.4 + 5.12 + 0.7 = 9.22 pound
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Computing a one-sample t test is appropriate when
-Participants are assigned to only one group
-The population variance is unknown
-Participants are observed one time
-All of the above
Computing a one-sample t-test is appropriate when d) all of the above
A statistical hypothesis test called the one-sample t-test is used to examine whether an unknown population mean differs from a given value. The test is applicable to continuous data. When doing a t-test, it is typical to make the following assumptions: the measuring scale, random sampling, normality of the data distribution, sufficiency of the sample size, and equality of variance in standard deviation.
When performing a one-sample t-test, the data should be collected at random from a population that is generally healthy. When each participant is put into a single group and is present on time, it is suitable. Additionally, it is suitable when the population variance is unknown.
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suppose the p-value of a hypothesis test was 0.02 and the level of significance (alpha) was 0.05. what is the correct decision?
Answer Desisonw 2
Step-by-step explanation:
What is a paragraph proof of Theorem 3 8?.
Perpendicular lines (or segments) really structure four right points, regardless of whether only one of the right points is set apart with a case.
Let m and n be lines that converge line a. Let m be perpendicular to a. This implies that every one 4 of the points framed by the convergence of m and an are 90°.
Allow n to be opposite to a. This implies that every one 4 of the points framed by the convergence of n and an are likewise 90°.
Since the points are all consistent, this implies that the equivalent side inside points (between lines m and n) are harmonious. In the event that two same-side inside points are harmonious, the lines are equal. In a direction plane, two particular nonvertical lines are equal if and provided that they have a similar slant. Any two vertical lines are equal.
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Suppose that 17 inches of wire costs 51 cents. At the same rate, how many inches of wire can be bought for 42 cents?
Last month, ed spent $50 in all. He spent 40% of the money at the movies. How much money did ed spend at the movies?.
Last month, ed spent $50 in all. He spent 40% of the money at the movies. So $20 Ed spend at the movies.
In the given question we have to find how much money ed spend at the movie.
Last month Ed spend total $50.
He spent 40% of the money at the movie.
Total money spent by Ed last month = $ 50.
Percentage of the money spent at the movies = 40%
Money spend by Ed at the movies=Percentage of the money spent at the movies * Total money spent by Ed last month
Money spend by Ed at the movies= 40% * $50
Money spend by Ed at the movies= 40/100 * $50
Money spend by Ed at the movies= 0.4* $50
Money spend by Ed at the movies= $20
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18) You need 4¼ cup of cleaned celery for oup. Each cup of celery weigh 4½ ounce. The yield percent for celery i 72%. What would the celery for the oup cot if you purchae celery for $1. 66 a bunch and each bunch weigh 1. 75 pound?
The cost of purchase of celery for the soup is $0.37
1 pound = 16 ounce
Each cup of celery weigh 4½ ounce = 9/2 ounce
16 ounce = 1 pound
9/2 ounce = (9/2)1/16 = 0.281
The yield percent for celery is 72%.
72% of x = 0.281
(72/100) x = 0.281
x = 0.281/(72/100)
x = 0.39 pound
each bunch weigh 1. 75 pound
Amount of bunch needed = 0.39/1.75 = 0.22
the celery for the soup cot if you purchae celery for $1. 66 a bunch
The cost of purchase = 0.22 x 1.66 = 0.37
Therefore, the cost of purchase of celery for the soup is $0.37
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Suppose A, B and C are square matrices.
(1) A is similar to A.
(2) If A is similar to B, then B is similar to A.
(3) If A is similar to B and if B is similar to C, then A is similar to C.
All the Options (1, 2, 3) are correct i.e., A is always similar to A. and If A is most similar to B, then we can say B is similar to A. and at last If A is most similar to B and B is also similar to C, then A must be similar to C matrix.
Properties of Similar square Matrices : Similar matrices percentage many residences and it's miles those theorems that justify the selection of the word ``similar.'' First we can display that similarity is an equivalence relation. Equivalence members of the family are essential withinside the have a look at of diverse algebras and might continually be seemed as a sort of susceptible model of equality.
Sort of alike, however now no longer pretty equal. The perception of matrices being row-equal is an instance of an equivalence relation we were operating with on account. Row-equal matrices aren't equal, however they may be lots alike. For instance, row-equal matrices have the identical rank. Formally, an equivalence relation calls for 3 situations hold: reflexive, symmetric and transitive. We will illustrate those as we show that similarity is an equivalence relation.
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
By evaluating the exponential equation, we will see that the amount that Erica owes after 6 years is $8551.56
How to find the amount owed after 6 years?Here we just need to use the exponential equation:
A = P*(1 + r/n)^(n*t)
Where A represents the amount owed t years after, and the other letters represent:
P is the initial amount, here we know that it is $5,300, so P = $5,300r is the rate of growth, which is the percentage written as a decimal, so here we have r = 0.08t is the variable, we already said that this is time in years, here we want to find the amount that Erica owes after 6 years, so t = 6.n is how many times the rate applies on one unit of t, in this case the rate is monthly, and there are 12 months in a year, so n = 12.Replacing all that in the given quadratic equation we will get:
A = $5,300*(1 + 0.08/12)^(12*6) = $8551.56
Then the amount that Erica owes is $8551.56
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What is the solution set to the inequality 5 x 2 )( x 4 0 ?.
The solution set to the given inequality is
(-∞, -4) U (2,∞)
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
5(x – 2)(x + 4) > 0
First we solve for x, we replace the inequality sign by = sign
5(x – 2)(x + 4) = 0
Divide both sides by 5
(x – 2)(x + 4) = 0
Now we set each factor =0 and solve for x
x-2 =0 , so x= 2
x+4 =0, so x= -4
Now we use number line and make three intervals
First interval -infinity to -4
second interval -4 to 2
third interval 2 to infinity
Now we check each interval with our inequality
First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5
5(-5 – 2)(-5 + 4) > 0
35>0 is true
second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0
5(0– 2)(0 + 4) > 0
-40>0 is false
Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3
5(3 – 2)(3 + 4) > 0
35>0 is true
solution set are the intervals that make the inequalities true
(-∞, -4) U (2,∞)
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Question:
What is the solution set to the inequality 5(x – 2)(x + 4) > 0?
How many of an acute triangle's angles are less than 90 degrees?.
In an acute triangle, all the three angles are less than 90°.
How do triangles work?
Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to a total of 180 degrees.The definition of an acute triangle?
When all three of the triangle's internal angles are acute, the triangle is said to be acute. Triangles with sharp angles are also known as acute triangles. Acute triangles can have different side lengths, but their interior angles can never exceed 90 degrees.Learn more about acute triangle
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The equation of line m is 3x−5y=−4. what is the slope of a line that is perpendicular to line m? enter your answer in the box as a fraction in simplest form.
Answer:
y = -5/3x
Step-by-step explanation:
→ Rearrange to get y as the subject
3x + 4 = 5y
→ Divide both sides by 5
[tex]\frac{3x+4}{5} =y[/tex] ⇔ [tex]y = \frac{3}{5}x +\frac{4}{5}[/tex]
→ Negatively reciprocate gradient
y = -5/3x
calculate the equivalent resistance in ohms of the following circuit : 18100 11470 18.1 11.5
The equivalent resistance of the circuit is d)11.5 ohms. So, correct option is d.
We know very well that net resistance when resistors are connected in parallel and net resistance when resistors are connected in series is different.
So, we can see that three 4.7kΩ are connected in parallel.
So, using formula of net resistance in parallel
=>1/Rₙ=(1/R₁)+(1/R₂)+(1/R₃)
Therefore,1/Rₙ=1/4.7+(1/4.7)+(1/4.7)
=>1/Rₙ=3/4.7kΩ
=>Rₙ=4.7/3kΩ
=>Rₙ=1.5kΩ
Now, we have net resistance of three resistors.
Now, remaining three resistors are now connected in series
So, using formula of net resistance when resistors are connected in series=Rₙ=R₁+R₂+R₃
So, three resistors have resistance 4.7kΩ,1.5kΩ,5.2kΩ respectively
Therefore, Rₙ=4.7+1.5+5.2=11.5kΩ.
Hence, equivalent resistance is d)11.5kΩ.
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(Complete question) is:
Calculate the equivalent resistance in ohms of the following circuit : a)18100kΩ
b)11470kΩ
c)18.1kΩ
d)11.5kΩ
A polling firm is interested in surveying a representative sample of registered voters in the United StatesA) registered voters with children under the age of 18...B) registered voters with unlisted telephone numbers...C) registered voters who have more than one telephone number...D) registered voters who live in households...E) people who are not registered to vote...B) registered voters with an unlisted telephone number may be underrepresented
Option E is correct. People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used.
People who are not registered to vote may bias the sample results is not a legitimate concern about the procedure being used because the polling firm is specifically interested in surveying a representative sample of registered voters in the United States.
The procedure targets registered voters by calling random phone numbers within the United States.
Since the focus is on registered voters, people who are not registered to vote are not part of the target population for this survey.
Therefore, their presence or absence in the sample does not affect the representativeness of the sample for registered voters. Option E is correct.
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Complete question:
A polling firm is interested in surveying a representative sample of registered voters in the United States. The firm has automated its sampling so that random phone numbers within the United States are called. Each time a number is called, the procedure below is followed. - If there is no response or if an answering machine is reached, another number is automatically called. - If a person answers, a survey worker verifies that the person is at least 18 years of age. - If the person is not at least 18 years of age, no response is recorded, and another number is called. - If the person is at least 18 years of age, that person is surveyed. Some people claim the procedure being used does not permit the results to be extended to all registered voters. Which of the following is NOT a legitimate concern about the procedure being used? (A) Registered voters with children under the age of 18 years may be underrepresented in the sample. (B) Registered voters with unlisted telephone numbers may be underrepresented in the sample. (C) Registered voters who have more than one telephone number may be overrepresented in the sample. (D) Registered voters who live in households consisting of more than one voter may be underrepresented. (E) People who are not registered to vote may bias the sample results.
instructor number of failures prof. a 13 prof. b 0 prof. c 11 prof. d 16 what are the .95 (5 percent risk of type i error) upper and lower control limits for the p-chart?
The Average proportional failure of the instructors is 0.10
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
proportion of failure = number of failure/ sample size
Prof A
Pa = 13/100
Pa = 0.13
Prof B
Pb = 0/100 = 0
Prof c
Pc = 11/100 = 0.11
Prof D
Pd = 16/100 = 0.16
Average proportional failure = (0.13 + 0.16 + 0.11 +0)/4 = 0.10
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
Therefore, the Average proportional failure of the instructors is 0.10
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Which polynomials are in standard form? x2 3x 2 q3 â€"" 15q 12q2 â€"" 16 4a a2 a â€"" 2 3x4 4x3 â€"" 3x2 â€"" 1 3t3 3t2 2t 14 a3 â€"" 6a 8a2
The polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² .....a₁x + a0, where x is the variable and ai are coefficients.
In the given options, when we analyse
x2 + 3x + 2 is given in standard form that is x2 + 3x + 2
15q 12q2 is not present in standard form
3t3 + 3t2 + 2t 14 is given in standard form
Therefore, the polynomials are in standard form is x2 + 3x + 2, 3t3 + 3t2 + 2t 14
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List the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x) = 7x4 - 5x3 + x2 - x + 1
Choose the answer below that lists the potential rational zeros.
A. -1,1, -7,7, -5,5, -1/7,1/7, -1/5,1/5
B. -1,1, -1/7,1/7, -1/5,1/5
C. -1,1, -7,7
D. -1,1, -1/7,1/7
Answer:
D. -1,1, -1/7,1/7
Step-by-step explanation:
Use all the factors of the leading coefficient, 7. And also, all the factors of the constant, 1.
Put the factors of the constant on top (numerator). Put the factors of the leading coefficient on the bottom (denominator).
+- 1/1 and +- 1/7
Simplifying:
-1, 1, -1/7, 1/7
That's it. Just list of possibilities of the rational zeroes.