Answer:
C
Step-by-step explanation:
Macy didnt correctly find the equivalent fraction with the denominator of 30
4/5 is 24/30 not 18/30.
this is because 4×6 is 24 which is the numerator and 5×6 is 30 which is the denominator
Answer:
Macy did not correctly find the equivalent fraction with the denominator of 30.
Step-by-step explanation:
What Macy should have written:
\(\frac{4}{5} ?\frac{18}{30} =\\\\\frac{24}{30} >\frac{18}{30}\)
What Macy wrote:
\(\frac{4}{5} ?\frac{18}{30} =\\\\\frac{18}{30} <\frac{19}{30}\)
\(\frac{4*6}{5*6}\) does not equal \(\frac{18}{30}\)
consider the following figure
Answer:
that look like complementry and supplementry angles
Step-by-step explanation:
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.
1. 7:4 = 21:x; what is the value of x?
A. 12
B. 10
C. 8
D. 6
E. 4
8.
Answer:
x = 12
I hope it's helps you
what is the average value of 3+9=12
Answer:
the mean (average) is 6 bc you divide the answer by the amount of numbers
Step-by-step explanation:
Ruth contributes 15% of the total cost of her individual health care. This is a $ 60.00 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year? a) How much does Ruth contribute every payday? b) How many pay periods are there in a year? C) Write an equation to show her total salary for the year . d)What is the total value of her individual coverage for the year? e) How many % is the company's contribution to her health care?Show your work f) How much is the company's contribution to her health care? Show all work.
Answer:
A.) $10,400
Contribution every payday = $60
Pay periods in a year = 26
Step-by-step explanation:
Assume her salary, that is total cost = y
Percentage deduction 15% of total cost
biweekly paychecks = $60
Therefore, 15% of y = $60
(15/100)y = 60
15y = 6000
y = 400
Total value of contribution:
$400 × number of biweeks in a year
If number of weeks in a year = 52
No of bi-weeks = 52/2 = 26
$400 × 26 = $10400
Answer:
the correct answer is $9,750.00
got it right
Step-by-step explanation:
Nearly every research projects should begin by __________.A. conducting an interviewB. recording a list of potential experimental activities and personal observationsC. developing a surveyD. reviewing secondary data
the correct option is D: reviewing secondary data.
Nearly every research project should begin by reviewing secondary data. Secondary data refers to data that was collected by someone else or data that has already been published in journals or books.
What is a research project?
A research project is a systematic study carried out to investigate or find out new information or to answer questions. It is a scientific method used to collect data, analyze the data, and interpret it to arrive at a conclusion.
What is secondary data?
Secondary data is data that was previously gathered and studied by others, rather than the data that was collected from the original source. It is the data that is already available in journals, books, and other resources.
Secondary data is important in research because it helps researchers to validate their findings and improve their accuracy.
So, reviewing secondary data is the first and foremost thing that researchers should do before starting any research project because it can save a lot of time and money, and it can help to identify gaps in existing knowledge.
Therefore, the correct option is D: reviewing secondary data.
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Which best states George Washington’s connection to the 1787 Constitutional Convention? He was an honorary delegate because he had led the Continental army. He delivered the new Constitution to Great Britain as an ambassador. He led the Constitutional Convention because he was respected throughout the nation. He led the Constitutional Convention because he was known for his wisd
Answer:
he led the constitutional convention because he was respected throughout the nation
Step-by-step explanation:
The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.
What is Constitutional Convention ?The Philadelphia Convention is also known as the Constitutional Convention took place between May 14 and September 17, 1787, to resolve the problems of the United States government.
The delegate elected to George Washington to led the convention, the presence of Washington a national hero respected by all helped to legitimize the convention. This result of the Convention was the Constitution of the United States of America.
The best states George Washington’s connection to the 1787 Constitutional Convention is: He led the Constitutional Convention because he was respected throughout the nation.
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In April, Francis had math homework 18 out of the 30 days in the month.
Which value is equivalent to the fraction of days she had math homework
A:66%
B:0.6
C:0.167
D:18%
Answer:
B. 0.6
Step-by-step explanation:
18/30 as a decimal is 60%, convert that to a decimal and you get .6
Help please!Thank you
Answer:
f. 85
Step-by-step explanation:
All triangles add up to 180 degrees
BCE=25
then you need to find DBC, you can do that since ABD is isocilies that means all sides are equal in length and angle so 180 divided by 3 (number of side) is 60
isoceles triangle have 2 sides that are equiangular, cince we know BCA is 25 we also know BAC is 25, leaving angle ABC to be 130 (180-50=130)
we subtract angle ABD from angle ABC to get angle DBC, leaving angle DBC to equal 70 degrees
since 70 (angle DBC) + 25 (Angel BCA)= 95
we just subtrract 95 from 180 to get the answer 85 (:
Answer:
85 degrees
Step-by-step explanation:
if Δ ABD is equilateral then the 3 sides and three angles are equal
sum of angles of Δ=180
180/3=60 degrees (∠A,∠B,∠D)
ΔBCA is isosceles then the two angles A and C are equal = 25
∠B=180-50=130
∠B in Δ BEC=130-60=70
∠E+∠B+∠C in Δ BEC=180
∠E= 180-70-25=85 degrees
A rabbit culture begins with 10 rabbits that double in amount at the end of every month. How many rabbits are grown during the 12th month.
Using geometric sequences, 20,480 rabbits are grown during the 12th month.
What is the geometric sequences?A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a fixed non-zero number called the common ratio.
At the end of the first month, there are 10 x 2 = 20 rabbits.
At the end of the second month, there are 20 x 2 = 40 rabbits.
Similarly, at the end of the third month, there are 40 x 2 = 80 rabbits.
This is a geometric sequence with a common ratio of 2 and a first term of 10. The number of rabbits at the end of the 12th month would be:
10 x 2^12 = 10 x 4096 = 40,960 rabbits
To find the number of rabbits grown during the 12th month, we need to subtract the number of rabbits at the end of the 11th month from the number of rabbits at the end of the 12th month:
\(40,960 - (10 x 2^{11}) = 40,960 - 20,480 = 20,480\)
Hence, 20,480 rabbits are grown during the 12th month.
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Between 2 pm and 6 pm, the hour hand on a clock moves from the 2 to the 6.
What angle does it turn through?
The angle that the hour hand moves is 120°
What is the angle that from 2 to 6?We know that a clock has 12 markers, and a circle has an angle of 360°, then each of these markers covers a section of:
360°/12 = 30°
Between 2 and 6 we have 4 of these markers, then the angle covered is 4 times 30 degrees, or:
4*30° = 120°
That is the angle that the hour hand moves.
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Find the value of x please.
Answer: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
85 degrees
Step-by-step explanation:
a line equals 180 degrees.
so 180-140= 40 degrees one of the missing angles in the triangle.
180 degrees is the full amount of degrees the angles of a triangle can equal.
So we have to add up the angles we know...
55+40=95 degrees
and subtract them from 180...
180-95=85 degrees
x=85
F^-4 (x) : f(x) = 4 (3x+2)
Step-by-step explanation:
To find F^-1(x), we need to solve for x in terms of f(x) using the given equation for f(x):
f(x) = 4(3x+2)
First, we can simplify the expression inside the parentheses:
f(x) = 12x + 8
Next, we can solve for x by isolating it on one side of the equation:
f(x) - 8 = 12x
(x is isolated)
x = (f(x) - 8) / 12
Therefore, F^-1(x) = (x - 8) / 12.
PLEASE HELP ASAP!!!
50 points!!! HELP ASAP!!! A tractor tire with a 42-inch diameter rotates at 25 rpm. How many feet does the tractor cover in one minute? Round your answer to the nearest tenth.
Answer:
274.8 feetStep-by-step explanation:
Diameter = 42 inchSpeed = 25 rpmCircumference of the tire:
C = πd = 3.14*42 = 131.88 inchesDistance per minute
25 revs = 25C =25*131.88 = 3297 inches = 274.75 feet =274.8 feet roundedLines l and m are parallel.
Which statement is always true?
Group of answer choices
A 90° rotation will map line l onto line m.
Line l can be reflected over a horizontal line to map onto line m.
Line l can be reflected over a vertical line to map onto line m.
Line l can be translated to map onto line m.
Lines l and m are parallel; line l will map onto line m with a 90° rotation; line l can map onto line m with a vertical line of reflection.
Do you have any explanations as to why the lines L and m are parallel?L and m are not parallel because the sum of the co-interior angles on the same side of the transversal does not equal 180 degrees.In the event when two lines, l and m, are in the same plane but do not cross, they are said to be parallel.We are aware that the equivalent angles are equal if they are parallel and a transversal is drawn to intersect them both. Accordingly, these are x and y. As a result, we can conclude that x and y are equivalent if l and m are parallel.If two lines, l and m, are in the same plane and do not cross one another, then they are parallel.To learn more about Lines refer to:
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What is x. In x − 7 = 13.
Answer:
x=20
Step-by-step explanation:
The adjacent figure HOPE is a parallelogram. Find the angle measures x, y and z. State the properties you use to find them.
Answer:
y=40°
Z + Y = 70°
z. = 70°-40°
z. = 30°
POH=X
=180-70
=110°
1. X=7 and y=3
A. X+Y=
B. X+X+Y=
C. 2X+5Y=
D. 8(X+Y)=
E. 15(2X+Y+Y)=
Answer:
A. 10
B. 17
C. 29
D. 80
E. 300
Step-by-step explanation:
A.
x + y
7 + 3
10
B.
x + x + y
7 + 7 + 3
14 + 3
17
C.
2x + 5y
2(7) + 5(3)
14 + 15
29
D.
8(x + y)
8(7 + 3)
8(10)
80
E.
15(2x + y + y)
15(2(7) + 3 + 3)
15(14 + 3 + 3)
15(17 + 3)
15(20)
300
perform the gram-schmidt process on the following sequence of vectors. -6 -3 -6 , 3 3 0 , -7 -2 -1 . , , .
The Gram-Schmidt process was applied to the vectors [-6, -3, -6], [3, 3, 0], and [-7, -2, -1], resulting in the orthogonal vectors [-0.577, -0.289, -0.577], [0.526, 0.526, -0.667], and [-0.648, 0.729, -0.220].
To perform the Gram-Schmidt process on the given sequence of vectors, let's denote the vectors as v1, v2, and v3
v1 = [-6, -3, -6]
v2 = [3, 3, 0]
v3 = [-7, -2, -1]
Set the first orthogonal vector, u1, equal to the normalized v1:
u1 = v1 / ||v1||
Find the projection of v2 onto u1:
proj_v2_u1 = (v2 ⋅ u1) * u1
where ⋅ represents the dot product.
Find the orthogonal vector v2_orthogonal by subtracting the projection from v2:
v2_orthogonal = v2 - proj_v2_u1
Set the second orthogonal vector, u2, equal to the normalized v2_orthogonal:
u2 = v2_orthogonal / ||v2_orthogonal||
Find the projection of v3 onto u1 and u2:
proj_v3_u1 = (v3 ⋅ u1) * u1
proj_v3_u2 = (v3 ⋅ u2) * u2
Find the orthogonal vector v3_orthogonal by subtracting the projections from v3:
v3_orthogonal = v3 - proj_v3_u1 - proj_v3_u2
Set the third orthogonal vector, u3, equal to the normalized v3_orthogonal:
u3 = v3_orthogonal / ||v3_orthogonal||
The resulting orthogonal vectors u1, u2, and u3 will form an orthonormal basis. Remember to normalize the vectors by dividing by their respective norms (||v||) at each step.
Performing the calculations, the orthogonal vectors are:
u1 = [-0.577, -0.289, -0.577]
u2 = [0.526, 0.526, -0.667]
u3 = [-0.648, 0.729, -0.220]
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a spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. how fast is the radius of the balloon increasing at the instant the radius is (a) 30 centimeters and (b) 60 centimeters?
The rate of increase of the radius of the balloon at the instant when the radius is 30 cm is 0.0167 cm/min and when the radius is 60 cm, it is 0.0021 cm/min.
(a) At the instant when the radius of the balloon is 30 cm, the rate of increase of the radius of the balloon is
Rate of Increase of radius = (Change in Volume/ Change in Time) / (4/3 × π × (radius)^3)
= (800 cm3/min) / (4/3 × π × (30 cm)^3)
= 0.0167 cm/min
(b) At the instant when the radius of the balloon is 60 cm, the rate of increase of the radius of the balloon is
Rate of Increase of radius = (Change in Volume/ Change in Time) / (4/3 × π × (radius)^3)
= (800 cm3/min) / (4/3 × π × (60 cm)^3)
= 0.0021 cm/min
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benji keeps track of the number of frisbee golf holes on which he makes par or better. the table shows the number of holes benji has played during his round so far. if the ratio of holes with par or better to total holes played is equal to 0.4, on how many of the holes has benji made par or better?
Benji made par or better on 7 holes in his round so far.
the ratio of holes with par or better to total holes played is equal to 0.4. We need to determine on how many of the holes Benji has made par or better. Table that shows the number of holes Benji has played during his round so far is shown below: Number of holes played in round so far Holes played 6 12 18Number of holes with par or better Number of holes played
2x 6 0.4
The ratio of the number of holes with par or better to the total number of holes played is 0.4.So, (Number of holes with par or better) /
(Number of holes played) = 0.4
Number of holes with par or better
/ (6 + 12 + 18) = 0.42x / 36 = 0.4
Cross-multiplying the above equation, we get,
2x = 0.4 x 36 = 14.4Dividing by 2 on both sides, we get x = 7.2
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A street sign is 101 inches tall. how tall is it in feet and inches?
The height of the street sign is 8 feet 5 inches, indicating that it is 8 feet tall with an additional 5 inches in height.
Since there are 12 inches in a foot, you need to divide the total inches (101 inches) by 12.
101 inches ÷ 12 inches/foot = 8 feet with a remainder of 5 inches.
The street sign, measuring 101 inches in height, can be converted to feet and inches by dividing the total inches by 12. In this case, 101 inches divided by 12 equals 8 feet with a remainder of 5 inches. This means that the street sign is 8 feet tall and has an additional 5 inches of height.
Converting measurements between feet and inches is useful in everyday situations to provide a clearer understanding of height, distance, or size. By expressing the height of the street sign in feet and inches, it becomes more relatable and easier to visualize.
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A club is choosing 2 members to serve on a committee. The club has nominated 3 women and 1 men. Based on chance alone, what is the probability that one woman and one man will be chosen to be on the committee? Your answer should be rounded to 4 decimal places (where applicable).
The solution of the given question is as follows :A club is choosing 2 members to serve on a committee.
Based on chance alone, the probability that one woman and one man will be chosen to be on the committee are as follows :Probability of selecting 1 woman out of 3 = 3C1 = 3Probability of selecting 1 man out of 1 = 1C1 = 1Probability of selecting 2 members from 4 = 4C2 = 6Therefore, the total number of ways that 2 members can be selected from 4 are: 3 × 1 × 6 = 18There are 18 different possible ways that a committee can be formed consisting of one woman and one man out of 3 women and 1 man.
Thus, the probability that one woman and one man will be chosen to be on the committee is: 3 × 1/6 = 1/2.00 = 0.5000 the probability that one woman and one man will be chosen to be on the committee is 0.5000 or 50% or 1/2 (in fraction) or 0.5 (in decimal).Hence, the solution of the given question is as follows: Probability that one woman and one man will be chosen to be on the committee is 0.5000.
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Pls answer
THe question below in the image
Answer:
Question 1: D.Question 2: C.Step-by-step explanation:
Question 1:
Franco made 36 invitations and gave out 14. How many invitations does he have left?
Simple. Solve for the bottom:
Bottom (Total): 36Right (Blue grid): 14Left (Red grid): ?That is the answer D.
Question 2:
Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?
Complicated (a bit). Solve:
Bottom (Total): ?Left (Red grid): 14Right (Blue grid): 36That is the answer C.
Answer all questions and show all of your work. 1. Consider Verizon data speeds (Mbps): 20, 50, 22, 14, 23, 10. Find the following values for these data. (a) Mean (b) Median (e) Sample Variance s² (d
The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592
(a) Mean The mean (or average) of a dataset is calculated by summing up all the values and dividing by the total number of values.
The formula for calculating the mean is: `mean = (sum of values) / (total number of values)`For the given dataset, we have:20, 50, 22, 14, 23, 10
Sum of values = 20 + 50 + 22 + 14 + 23 + 10 = 139
Total number of values = 6Therefore, the mean is given by: `mean = 139 / 6 = 23.17`Answer: 23.17 (rounded to two decimal places)
(b) Median To find the median, we need to arrange the dataset in increasing order:10, 14, 20, 22, 23, 50The median is the middle value of the dataset. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values. Here, we have 6 values, so the median is the average of the two middle values: `median = (20 + 22) / 2 = 21` Answer: 21(e)
Sample variance s²The sample variance is calculated by finding the mean of the squared differences between each value and the mean of the dataset.
The formula for calculating the sample variance is: `s² = ∑(x - mean)² / (n - 1)`where `∑` means "sum of", `x` is each individual value in the dataset, `mean` is the mean of the dataset, and `n` is the total number of values.For the given dataset, we have already calculated the mean to be 23.17.
Now, we need to calculate the squared differences between each value and the mean:
20 - 23.17 = -3.1722 - 23.17
= -1.170 - 23.17
= -13 - 23.17
= -9.1723 - 23.17
= -0.1710 - 23.17
= -13.17
The sum of the squared differences is given by:
∑(x - mean)² = (-3.17)² + (-1.17)² + (-13.17)² + (-9.17)² + (-0.17)² + (-13.17)²
= 867.7959
Therefore, the sample variance is given by: `s² = 867.7959 / (6 - 1) = 173.5592`Answer: 173.5592 (rounded to four decimal places)
The mean, median, and sample variance of the given dataset are:Mean = 23.17Median = 21Sample variance = 173.5592
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which of the following statements about the power series ∑n=0[infinity]n!x2n is true?
The power series ∑n=0[infinity]n!x2n converges for all real values of x. This can be shown using the ratio test, where the limit as n approaches infinity of |(n+1)!x^(2n+2)/(n!x^(2n))| is equal to the limit as n approaches infinity of |(n+1)x^2|, which equals infinity for x≠0.
However, the ratio test is inconclusive for x=0, so we need to use a different test to determine convergence at x=0. The Cauchy-Hadamard theorem states that the radius of convergence of a power series is given by R=1/lim sup (|an|^(1/n)), where an is the nth term of the series.
Applying this to our power series, we get R=1/lim sup (n!^(1/n) x^2), which simplifies to R=0 for all values of x. Therefore, the power series converges only at x=0 and diverges for all other real values of x.
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deer ticks can be carriers of either lyme disease or human granulocytic ehrlichiosis (hge). based on a recent study, suppose that 18% of all ticks in a certain location carry lyme disease, 7% carry hge, and 7% of the ticks that carry at least one of these diseases in fact carry both of them. if a randomly selected tick is found to have carried hge, what is the probability that the selected tick is also a carrier of lyme disease?
Therefore, the probability that the selected tick is also a carrier of Lyme disease, given that it carries HGE, is approximately 0.999 or 99.9%.
To find the probability that the selected tick is also a carrier of Lyme disease given that it carries HGE, we can use the concept of conditional probability.
Let's define the following events:
A: The tick carries Lyme disease
B: The tick carries HGE
We are given:
P(A) = 0.18 (probability of a tick carrying Lyme disease)
P(B) = 0.07 (probability of a tick carrying HGE)
P(A ∩ B) = 0.07 (probability of a tick carrying both Lyme disease and HGE)
The probability we want to find is P(A|B), the probability of the tick carrying Lyme disease given that it carries HGE.
We can use Bayes' theorem to calculate this:
P(A|B) = (P(B|A) * P(A)) / P(B)
P(B|A) represents the probability of a tick carrying HGE given that it carries Lyme disease. We are not given this information directly, so we need to calculate it.
P(B|A) = P(A ∩ B) / P(A)
= 0.07 / 0.18
= 0.3889
Now we can substitute this value into Bayes' theorem:
P(A|B) = (0.3889 * 0.18) / 0.07
= 0.999
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a newsletter publisher believes that 71% 71 % of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.02 0.02 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
We cannot claim that the newsletter publisher's statement is incorrect. Hence, the conclusion is uncertain.
The newsletter publisher's claim is uncertain after performing a test at the 0.02 level of significance as the testing firm fails to reject the null hypothesis.
In this case, we cannot claim that the publisher's statement is incorrect without additional tests and proof. Here is an explanation of the above statement.
A hypothesis test is conducted to find out whether or not there is sufficient evidence to contradict a hypothesis. In this case, the hypothesis test's null hypothesis claims that the newsletter publisher's statement is correct.
The alternate hypothesis claims that the newsletter publisher's claim is incorrect. As a result, the null hypothesis is represented by \(H_0\):
p = 0.71 (71%) and
the alternate hypothesis is represented by \(H_a\):
p ≠ 0.71 (71%).
Where 'p' denotes the percentage of newsletter readers who own a Rolls Royce.
The test statistic for a sample proportion can be calculated by
z = (p - P) / √(P(1 - P) / n)
Where 'p' denotes the sample proportion,
P denotes the population proportion, and
n denotes the sample size.
A two-tailed test is used because the alternate hypothesis is written as \(H_a\):
p ≠ 0.71 (71%).
At a 0.02 significance level, the test statistic's critical value is ±2.58 (round off) Because the test statistic does not fall in the rejection region, we fail to reject the null hypothesis.
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CAN SOMEONE HELP ME I NEED HELP LIKE.... NOW!!!
Answer:
(x+6)(x+4)
Step-by-step explanation:
find the IQ scores of adults, and those score are normally distributed with a mean of 100 and a standard deviation of 15
About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] . About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .
Our "fluid and crystallized intellect," as described by psychologists, is quantified by an intelligence quotient, or IQ. Simply put, an IQ test evaluates your capacity for logic and problem-solving. A total score obtained from a series of standardized tests or subtests created to measure human intelligence is known as an intelligence quotient (IQ).
The formula for calculating IQ is IQ = (intelligence age/actual age) x 100. In addition to MentalUP's online IQ test, here is a brief summary of the most popular IQ tests (intelligence quotient tests) that you or your children may choose to take: The Wechsler Adult Intelligence Scale (Stanford-Binet, SB-V) (WAIS-IV).
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