Answers
The workers percentile score is given as follows:
69.15%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The z-score for this problem is given as follows:
z = 0.5.
Hence the percentile score is of 69.15%, as z = 0.5 has a p-value of 0.6915.
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Related Questions
This circle is centered at the origin, and the length of its radius is 5. What is the equation of the circle? A. x2 + y2 = 52 B. x2 + y2 = 5 C. (x - 5)2 + (y - 5)2 = 25 D.
Answers
Answer:A
Step-by-step explanation:
Pls, HELP!!
Law of Cosines
Solve for c. Round your final answer to the nearest tenth
Answers
The length of c in the triangle is 4.2 units.
How to find the side of a triangle?The side of a triangle can be found using cosine law as follows:
Hence,
c² = a² + b² - 2ab cos C
where
a, b and c are the side lengthC is angle opposite to side cTherefore,
c² = 7² + 8² - 2(7)(8) cos 32°
c² = 49 + 64 - 112 cos 32°
c² = 113 - 112(0.84804809615)
c² = 113 - 94.9813867695
c² = 18.019
square root both sides of the equation
c = √18.019
c = 4.24487926801
c = 4.2 units
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Kara wants to paint the four outside walls of her dogs house. She will not paint the roof or the door on the front of the house. What is the area of surface that Kara needs to paint?
Answers
Total area to paint: (15 + 10) - 1.5 = 23.5 sq ft
How to solveCalculate the area of each wall, subtract the door area, and sum the areas.
Front and back walls: (3 * 2.5) * 2 = 15 sq ft
Next, we calculate the area of the side walls:
Side walls: (2 * 2.5) * 2 = 10 sq ft
Door area: 1.5 * 1 = 1.5 sq ft
Total area to paint: (15 + 10) - 1.5 = 23.5 sq ft
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The Complete Question
Kara wants to paint the four outside walls of her dog's house, excluding the roof and door. The dog house measures 3 feet in length, 2 feet in width, and 2.5 feet in height. The door is 1.5 feet tall and 1 foot wide. What is the area of the surface she needs to paint?
on the first day of training Zari runs 2 miles north, the 4 miles east and then back home via shortest route. Taye runs 2 miles west then 4 miles south, and then back home again via the shortest route. a. draw their routes on the coordinate plane above, use a straightedge for accuracy. b. create a proof that demonstrates that the two triangles formed by their routes are congruent. proof needs three pairs of congruent properties of the triangles followed by a triangle congruency statement. show if congruent by ASA, SAS, or SSS.
Answers
By ASA (Angle-Side-Angle) congruence, triangle ABC is congruent to triangle DEF.
Instructions to draw the routes:
Draw the x-axis and y-axis to create a coordinate plane.
Mark the starting point of Zari's run as (0,0) on the coordinate plane.
From (0,0), move 2 units north to reach (0,2).
From (0,2), move 4 units east to reach (4,2).
From (4,2), move directly back to the starting point (0,0) using the shortest route.
Mark the starting point of Taye's run as (0,0) on the coordinate plane.
From (0,0), move 2 units west to reach (-2,0).
From (-2,0), move 4 units south to reach (-2,-4).
From (-2,-4), move directly back to the starting point (0,0) using the shortest route.
Instructions to prove that the two triangles are congruent using ASA:
Label the vertices of Zari's triangle as A (0,0), B (4,2), and C (0,0).
Label the vertices of Taye's triangle as D (0,0), E (-2,-4), and F (0,0).
Show that angle A and angle D are congruent because they are both right angles (90 degrees).
Show that segment AB and segment DE are congruent because they both have a length of 4 units.
Show that segment AC and segment DF are congruent because they both have a length of 2 units.
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Will give brainliest if correct
explain reason
Answers
Therefore , the solution of the given problem of parallel lines comes out to be parallel lines stay parallel option C is correct.
What applications do parallel lines have?A parallelogram in Euclidean geometry is essentially a straightforward hexagon with two different groups & equal distances. When both sets of sides evenly share a horizontal path, a particular type of quadrilateral known as a parallelogram is created. There are four distinct types of parallelograms, three of them being incompatible. The four distinct forms are slightly parallelograms, rectangular shapes, squares, and parallelograms.
Here,
C. It is untrue that a line may be translated into two parallel lines.
A line can be translated into another line that runs parallel to the first line, but not into two parallel lines.
Every point on the line is rigidly transformed by a translation, which moves all of the points along the line uniformly and in one direction.
After a translation, parallel lines stay parallel.
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PLS HELP ME WITH THIS QUESTION PLS
PLS SHOW YOUR WORKING OUT
Answers
p = 3, q = 41, and r = 2, and we can write:
[tex]Sn = 3(gt^2 - t) + 41(gt - t).[/tex]
What is an arithmetic series?According to the given information we are given that the first term of an arithmetic series is (21 + 1), which simplifies to 22. We are also given that the common difference of the series is 3. Therefore, the second term of the series is 22 + 3 = 25, the third term is 22 + 2(3) = 28, and so on.
To find the nth term of this arithmetic series, we can use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the number of terms, and d is a common difference. We are given that the nth term is (141-5), so we can set up an equation and solve for n:
(141-5) = 22 + (n - 1)3
136 = 22 + 3n - 3
117 = 3n
n = 39
Therefore, there are 39 terms in the arithmetic series.
To find the sum of the first n terms of an arithmetic series, we can use the formula:
Sn = n/2(a1 + an)
where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term. We know that a1 = 22, an = (141-5), and n = 39, so we can substitute these values into the formula:
S39 = 39/2(22 + (141-5))
S39 = 19(136)
S39 = 2584
Therefore, the sum of the first 39 terms of the series is 2584.
Now, we need to write the sum of the first n terms of the series as p(gt - 1), where p, q, and r are integers.
We know that the common difference is 3, so we can write the nth term as:
an = a1 + (n - 1)d
an = 22 + (n - 1)3
an = 3n + 19
Substituting this into the formula for the sum of the first n terms, we get:
Sn = n/2(a1 + an)
Sn = n/2(22 + 3n + 19)
Sn = n/2(3n + 41)
[tex]Sn = 3/2 n^2 + 41/2 n[/tex]
Therefore, p = 3, q = 41, and r = 2, and we can write:
[tex]Sn = 3(gt^2 - t) + 41(gt - t).[/tex]
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Please help with trigonometry
Answers
14.4 is the value of x in triangle .
What is known as a triangle?
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 single point. 180 degrees is the sum of the triangle's three angles.
Triangular shapes have three vertices, three angles, and three sides. 180 degrees is the sum of a triangle's three interior angles. The length of a triangle's two longest sides added together exceeds the length of its third side.
17² = 9² + X²
289 = 81 + x²
289 - 81 = x²
208 = x²
x = √208
= 14.4
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Suppose you are 5 feet 2 inches tall. Give your height in meters and centimeters
Answers
5’2 to m=1.58496m
how to do 0.002 / 2000
Answers
Answer:
Step-by-step explanation:
f(25) = 80 , find the value of f(2022) and give proper method and the final answer
Answers
The value of f(2020) is 39/100.
Given function is,
f(25) = 80
And f(xy) = f(x)/y² .....(i)
Since
f(25) = 80
Then we define function as
f(x) = x + 55 .....(ii)
Now we can write 2020 = 101 x 20
So f(2020) = f(101x20) = f(101)/20² from (i)
= (101 + 55)/400 from(ii)
= 156/400
= 39/100
Hence, f(2020) = 39/100
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Each of the following people bought a watch that costs 300. Which of the following people will pay the most for their purchase
Answers
The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month
Which individual will pay the most?The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.
Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.
Complete Question:
Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month
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Consider the function f(x)=−4.6|x+2|+7.
About what line is the graph of the function symmetric?
Enter your answer in the box.
Answers
The graph of the function f(x)=−4.6|x+2|+7 is symmetric at x = -2
About what line is the graph of the function symmetric?From the question, we have the following parameters that can be used in our computation:
The function f(x)=−4.6|x+2|+7.
The function f(x)=−4.6|x+2|+7 is an absolute value function
An absolute value function is represented as
f(x) = a|x - h| + k
Where the line of symmetry is
x = h
Using the above as a guide, we have the following:
Line of symmetry: x = -2
Hence, the graph of the function is symmetric at x = -2
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If the given expression is multiplied by 36
, which expression is NOT equivalent?
Responses
A (32
)(38
)( 3 2 )( 3 8 )
B 910
9 10
C 310
3 10
D (35
)(35
)
Answers
Answer:
The correct answer is (C) 310.
Multiplying the given expression by 36 gives:
(32)(38) + (35)(35) - (33)(37)
= 1216 + 1225 - 1221
= 1220
So the equivalent expression is 1220.
Option (C) 310 is not equivalent to 1220.
Please I want the answer!
Answers
The subtraction expressions to calculate the lengths are OB = 3 -- 7 and AB = 5 - 2
Writing the subtraction expressions to calculate the lengthsFrom the question, we have the following parameters that can be used in our computation:
O = (3, 2)
A = (-7, 5)
B = (-7, 2)
The distance between (or length of) the coordinates is calculated as
Length = √[(x2 - x1)² + (y2 - y1)²]
Using the above as a guide, we have the following:
OB = √[(3 -- 7)² + (2 - 2)²]
OB = √[(3 -- 7)² + 0²]
OB = √[(3 -- 7)²]
OB = 3 -- 7
AB = √[(-7 -- 7)² + (5 - 2)²]
AB = √[0² + (5 - 2)²]
AB = √[(5 - 2)²]
AB = 5 - 2
Hence, the subtraction expressions to calculate the lengths are OB = 3 -- 7 and AB = 5 - 2
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A research study indicated a negative linear relationship between two variables: the number of hours per week spent exercising (exercise time) and the number of seconds it takes to run one lap around a track (running time). Computer output from the study is shown below.
A figure of a computer output is shown. At the top is a table with two rows. The first row reads variable, N, mean, S E mean, and standard deviation. The second row reads running time, 11, 74.81, 2.21, and 7.33. Below this is a second table with three columns labeled predictor, coefficient, and S E coefficient. The first row reads constant, 88.01, and 0.49. The second row reads exercise time, negative 2.20, and 0.07. At the bottom it reads S equals 0.76 and R squared equals 99 percent.
Assuming that all conditions for inference are met, which of the following is an appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 ?
Answers
Answer:
The appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 is the t-statistic.
The t-statistic for testing the slope coefficient is calculated as follows:
t = (b1 - 0) / SE(b1)
where b1 is the estimated slope coefficient, and SE(b1) is the standard error of the estimated slope coefficient.
From the computer output, we see that the estimated slope coefficient for exercise time is -2.20, and the standard error of the estimated slope coefficient is 0.07.
Therefore, the t-statistic is:
t = (-2.20 - 0) / 0.07 = -31.43
This t-statistic follows a t-distribution with n-2 degrees of freedom, where n is the sample size. The sample size is not given in the output, so we cannot determine the exact degrees of freedom.
Find an angle in each quadrant with a common reference angle with 285°, from 0°≤θ<360
Answers
The four angles, one in each quadrant, with a common reference angle of with 285° are: 15°, 165°, 195°, 345°
Understanding QuadrantA common reference angle is an angle that is shared by multiple angles in different quadrants when measured from the x-axis. The reference angle for an angle measured in degrees can be found by subtracting the nearest multiple of 90 degrees that is less than the angle.
For the angle 285°, the nearest multiple of 90 degrees that is less than it is 270°. Therefore, the reference angle for 285° is 285° - 270° = 15°.
Using this reference angle, we can find an angle in each quadrant with a common reference angle with 285° as follows:
First Quadrant: An angle in the first quadrant with a reference angle of 15° is 15° itself.Second Quadrant: An angle in the second quadrant with a reference angle of 15° can be found by subtracting the reference angle from 180°. Therefore, an angle in the second quadrant with a common reference angle with 285° is 180° - 15° = 165°.Third Quadrant: An angle in the third quadrant with a reference angle of 15° can be found by subtracting the reference angle from 180° and then adding 180°. Therefore, an angle in the third quadrant with a common reference angle with 285° is 180° + 15° = 195°.Fourth Quadrant: An angle in the fourth quadrant with a reference angle of 15° can be found by subtracting the reference angle from 360°. Therefore, an angle in the fourth quadrant with a common reference angle with 285° is 360° - 15° = 345°.Learn more about quadrant here:
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Functionalist view deviance as a key component of a functioning society. Explain Durkheim's
approach and discuss ways in which crime may be functional for society as a whole. Describe
the labeling theory of deviance. Identify primary and secondary deviance. Do you think stigma
is useful in society? How so?
Answers
Therefore, the usefulness of stigma in society depends on how it is applied and the context in which it is used.
Durkheim, one of the founding fathers of sociology, saw deviance as a normal and necessary aspect of society. According to Durkheim, deviance serves several important functions. Firstly, it reinforces social norms by defining what is acceptable and unacceptable behavior. Deviance also provides a sense of unity and reinforces social solidarity within a society by creating a common enemy for people to rally against. Additionally, deviance can facilitate social change by highlighting areas where social norms may be outdated or ineffective.
The labeling theory of deviance suggests that deviance is not a characteristic of the individual but rather a product of the social reaction to their behavior. The process of labeling a person as deviant can have a significant impact on their self-identity and can lead to further deviant behavior. Primary deviance refers to the initial act of deviance, whereas secondary deviance refers to the subsequent behavior that occurs after a person has been labeled as deviant.
Stigma, or the negative social label attached to deviant behavior, can have both positive and negative consequences for society. On the one hand, stigma can help to reinforce social norms and discourage deviant behavior. However, it can also lead to discrimination and marginalization of individuals who are labeled as deviant, which can have negative impacts on their life chances and well-being. Therefore, the usefulness of stigma in society depends on how it is applied and the context in which it is used.
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Trigonometry homework help
Answers
The distance between the installations is given as follows:
126.42 miles.
What is the law of cosines?The Law of Cosines is a trigonometric formula that relates the lengths of the sides of a triangle to the cosine of one of its angles. It is also known as the Cosine Rule.
The Law of Cosines states that for any triangle with sides a, b, and c and angle B opposite to side b, the following equation holds true:
b^2 = a^2 + c^2 - 2ac cos(B)
The parameters for this problem are given as follows:
a = 143, c = 70, B = 62.1º.
Hence the distance b is obtained as follows:
b² = 143² + 70² - 2 x 143 x 70 x cosine of 62.1 degrees
b² = 15981.
[tex]b = \sqrt{15981}[/tex]
b = 126.42 miles.
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some the following equation
x^4+4x^3+3x^2=0
Answers
Answer:
x = 0, -1, -3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor to equal zero.
divide to 7 digits after the decimal point. Do not round your answer 3.1 divided by 6
Answers
The value of 3.1 divided by 6 leaving 7 digits after the decimal point without rounding is 0.5166666
Evaluating the quotient expressionFrom the question, we have the following parameters that can be used in our computation:
3.1 divided by 6
When represented as an expression, we have
3.1 divided by 6 = 3.1/6
The above expression can be calculated using a calculator
Using a calculator, we have
3.1/6 = 0.51666666666
This means that
3.1 divided by 6 = 0.51666666666
Leaving 7 digits after the decimal point without rounding, we have
3.1 divided by 6 = 0.5166666
Hence, the value of 3.1 divided by 6 is 0.5166666
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Which of the following explains why this inequality is true?
7 3/8 × 4/5 < 7 3/8
Answers
Answer:
Step-by-step explanation:
To compare these two values, we first need to convert the mixed number 7 3/8 to an improper fraction. To do so, we multiply the whole number (7) by the denominator of the fraction (8), then add the numerator (3), and put the result over the denominator:
7 3/8 = (7 x 8 + 3) / 8 = 59/8
Now we can rewrite the inequality as:
(59/8) × (4/5) < 59/8
To simplify the left-hand side of the inequality, we multiply the numerators and denominators:
(59/8) × (4/5) = (59 × 4) / (8 × 5) = 236/40 = 59/10
So the inequality becomes:
59/10 < 59/8
To compare these fractions, we need to find a common denominator. The least common multiple of 8 and 10 is 40, so we can convert both fractions to have a denominator of 40:
59/10 = (59 x 4) / (10 x 4) = 236/40
59/8 = (59 x 5) / (8 x 5) = 295/40
Now we can see that 236/40 < 295/40, which means that:
59/10 < 59/8
Therefore, the inequality 7 3/8 × 4/5 < 7 3/8 is true.
PLEASE IM BEGGING HELP PLEASE!!!!!
Answers
Answer:
C
Step-by-step explanation:
Let u = - 3i + 2j, v = 3i - 3j and w = - 3j
Find the specified scalar or vector.
5u(3v - 4w)
Answers
If u = - 3i + 2i, v = 2i - 2j and w = - 4j, 5u(3v - 4w) is a scalar quantity with a value of 440.
To evaluate the expression 5u(3v - 4w), we need to first perform the scalar multiplication and then the vector subtraction. We can start by computing the scalar multiplication of 3v - 4w:
3v - 4w = 3(2i - 2j) - 4(-4j) = 6i + 14j
Next, we can perform the scalar multiplication of u and the vector 6i + 14j:
5u(3v - 4w) = 5(-3i + 2j)(6i + 14j)
Expanding the product, we get:
5(-18i² + 36ij + 42ij - 28j²)
Since i² = j² = -1, we can simplify this expression as:
5(18 + 70) = 440
Therefore, 5u(3v - 4w) is a scalar quantity with a value of 440.
The key concept used in this problem is the distributive property of scalar multiplication over vector addition and subtraction. This property allows us to simplify expressions that involve scalar multiplication and vector operations by distributing the scalar to each component of the vector.
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During a game, a spinner landed on several different colors. During a game, a spinner landed on several different colors.
Considering this data, how many of the next 13 spins should you expect to land on purple?
Answers
First, we need to find the experimental probability (probability using the provided data) of landing on purple.
Experimental probability of purple = # of purple / total #
Experimental probability of purple = 2 / 26 = 1 / 13 (simplified)
Next, we need to consider the probability in the context of 13 spins, as per the question. Our experimental probability tells us that 1 out of every 13 spins will be purple. Therefore, we can expect 1 of the next 13 spins to land on purple.
Answer: 1 spin
Hope this helps!
The stemplot below represents the number of bite-size snacks grabbed by 32 students in an activity for a statistics class.
A stemplot titled Number of Snacks has values 15, 15, 16, 16, 16, 17, 17, 18, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 27, 29, 29, 29, 32, 32, 34, 38, 42.
Which of the following best describes the shape of this distribution?
skewed to the left
bimodal symmetric
skewed to the right
unimodal symmetric
Answers
Answer: The stemplot shows that the distribution is unimodal and skewed to the right.
The stem values (tens digits) are:
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4
The leaf values (ones digits) are:
5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 9, 9, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 7, 9, 9, 9, 2, 2, 4, 8, 2
The data is unimodal because there is one clear peak in the distribution. The data is skewed to the right because the long tail of the distribution extends to the right, with a few large values pulling the mean to the right.
Therefore, the best description of the shape of this distribution is skewed to the right.
Simplify the polynomial expression. (x+7)^2
Answers
Answer:
x²+14x+49
Step-by-step explanation:
(a+b)²=a²+2ab+b²
(x+7)²=x²+2×7×x+7²=x²+14x+49
a) Find the value of 8 1/3 b) Find the value of 8 2/3 c) Find the value of 16 3/4
Answers
Answer:
a) 27. b) 27.3333 c) 40.75
College Level Trig Question Any help will do!!
Answers
The value of x in the equation y = 9 sec(2x) at [0, π/4) ∪ (π/4, π/2] is x = 1/2[sec₋¹(y/9)]
Calculating the values of xFrom the question, we have the following parameters that can be used in our computation:
y = 9 sec(2x)
The interval of x is also given as
[0, π/4) ∪ (π/4, π/2]
This means that the values of x is from 0 to π/2, however, the function is undefined at x = π/4 i.e. there is a hole at x = π/4
Next, we set the equation to y
So, we have
9 sec(2x) = y
Divide both sides by 9
sec(2x) = y/9
Take the arc sec of both sides of the equation
2x = sec₋¹(y/9)
Divide both sides by 9
x = 1/2[sec₋¹(y/9)]
Hence, the value of x is x = 1/2[sec₋¹(y/9)]
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What is the slope intercept form of the equation y-5=-1/4(x-12)
Answers
Your first step would be to distribute the -1/4 to the numbers in the parenthesis.
You would then add the 5 over, giving you your answer:
Y=-1/4x+8
Mrs. Davis had 6 bowls of flour for a group project. The line plot below shows the fraction of a cup of flour that was left in each bowl after the project.
Answers
By summing all the fractions that was left, we have 3 cups of flour left. The correct option is (B).
Understanding Simple Line PlotThe "x" represents the quantity while the fractions represents the value.
To get the cups of flour left, we first multiply the number of "x" with the fraction and then add the resulting fractions together.
Cups left = 1 (1/8) + 1(3/8) + 2(1/2) + 2(3/4)
= 1/8 + 3/8 + 1 + 3/2
Find the LCM
= [tex]\frac{1 + 3 + 8 + 12}{8}[/tex]
= 24/8
Cups left = 3 cups
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