As per normalization, the session table uses the third normal form
Normalization is an important step in designing a database, as it helps to eliminate issues such as data integrity and redundancy. This is achieved through a series of steps, known as normalization.
The Sports Physical Therapy Center database has a table named Session that keeps track of all therapy appointments at the center. The table contains various pieces of information such as the session number, date, patient number, length of session, therapist ID, therapist's last and first name, and the therapy code.
The Session table is used to check if there are any design issues and to apply the necessary normalization steps to fix these issues and ensure data is stored in an organized manner.
Thorough this we have identified that the 3rd normal for is used here.
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Ms. Wells is going to order 4 large cheese pizzas for a class pizza party at the end of the school year. She expects she'll spend at least $40 on the pizzas.
a
4x ≥ 40
b
4x 40
d
4x ≤ 40
Answer:
b im preety shore
Step-by-step explanation:
Answer:
a) 4x is bigger than or equal to 40
Hope this helps and have a great day :)
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1.
A gardener with 200 m available fencing wishes to enclose a
rectangular field and then divide it in two plots with a fence
parallel to one of the sides. What is the largest area that can be
enclose
The largest area that can be enclosed with 200 meters of fencing is 2500 square meters.
Let the length of the rectangular field be L and the width be W.
Then the perimeter is:
2L + 2W = 200
Simplifying, we get:
L + W = 100
We want to maximize the area A = LW of the rectangular field, subject to the constraint above.
To do this, we can solve for one of the variables in terms of the other:
L = 100 - W
Substituting into the area equation, we get:
A = (100 - W)W = 100W - W^2
Now we have a quadratic function for the area, which we can maximize by finding its vertex. The vertex occurs at W = -b/2a, where a = -1 and b = 100.
W = -100/-2 = 50
So the width of the rectangular field that maximizes the area is 50 meters. Plugging this back into the constraint equation, we get:
L + 50 = 100
L = 50
So the length of the rectangular field is also 50 meters.
The maximum area is then:
A = LW = 50 x 50 = 2500 square meters
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Write the equation of the line that goes through (4,5)
and (8,7).
a)x+5 a) y = 1/2x+4,5
b) y = /2x+3
c) y=2x-4.5
d) y=2x-3
To find the equation of a line that goes through two points, you can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where "m" is the slope of the line and "b" is the y-intercept (the point where the line crosses the y-axis).
To find the slope of the line, you can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
In this case, we are given the points (4, 5) and (8, 7), so we can plug these values into the formula for the slope:
m = (7 - 5) / (8 - 4)
= 2 / 4
= 1/2
Now that we know the slope of the line, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y1 = m(x - x1)
where (x1, y1) is any point on the line and "m" is the slope of the line.
In this case, we are given the point (4, 5), so we can plug these values into the formula:
y - 5 = (1/2)(x - 4)
y = (1/2)x + 3
So, the equation of the line that goes through (4,5) and (8,7) is y = (1/2)x + 3.
Therefore, the correct answer is (b) y = /2x+3.
Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)
suppose a basketball player makes 80% of his free throws. assume that free throw shots are independent of one another. suppose this player gets to shoot four free throws. find the probability that he makes all four free throws.
The probability that a basketball player makes all four of his free throws when the probability of making one is 80% is 0.4096.
This is calculated using the binomial probability formula, which states that the probability of k successes in n trials is given by the following:
P(k successes in n trials) = \((n!/(k!(n-k)!))\timespk(1-p)(n-k)\)
In this case, the probability of making a single free throw is 80% (0.8),
so we can plug this into the formula.
We know that the player is taking 4 free throws, so k is 4 and n is also 4.
Plugging these values into the formula, we get:
P(4 successes in 4 trials) = \((4!/(4!(4-4)!))\times 0.84(1-0.8)(4-4) = 0.4096\)
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Solve for x:∣x−2∣>4. A) −2>x>6 B) −66 D) x>6 or x<−2 E) None of the above
None of the above is the answer.
Solve for x:|x - 2| > 4.Solving |x - 2| > 4Solving for x, first let's isolate the absolute value.
|x - 2| > 4
x - 2 > 4 or x - 2 < -4 (since the absolute value of a number can either be positive or negative)
x > 6 or x < -2.
Now, let's check the options. -2 > x > 6 (not true since the values of x that satisfy the inequality are either greater than 6 or less than -2).
-66 (not true since the values of x that satisfy the inequality are either greater than 6 or less than -2)C) x < -2 (not true since the values of x that satisfy the inequality are either greater than 6 or less than -2).
x > 6 or x < -2 (this is true)E) None of the above is the main answer.
In conclusion, to solve |x - 2| > 4, we isolate the absolute value and consider two cases: x - 2 > 4 or x - 2 < -4. Solving for x gives x > 6 or x < -2. x > 6 or x < -2.
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the pay rate and hours worked are given below. use this information to determine the following. the gross earnings federal taxes (assuming 18% of gross earnings) state taxes (assuming 4% of gross earnings) social security deduction (assuming 7.05% of gross earnings) total deductions net pay earnings description rate hours current regular $7.50 30.0 $ taxes and deductions fed tax $ state tax $ soc sec $ total deductions $ net pay $
The gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
The gross earnings are determined by multiplying the pay rate by the number of hours worked.
Federal taxes, state taxes, and social security deductions are calculated by applying the respective tax rates to the gross earnings.
Total deductions are the sum of federal taxes, state taxes, and social security deductions.
Net pay is obtained by subtracting the total deductions from the gross earnings.
To calculate the gross earnings, we multiply the pay rate of $7.50 by the number of hours worked, which is 30.
Therefore, the gross earnings are $7.50 * 30 = $225.
Next, we can calculate the federal taxes by applying the tax rate of 18% to the gross earnings.
The federal taxes amount to 18% * $225 = $40.50.
Similarly, the state taxes can be calculated by applying the tax rate of 4% to the gross earnings.
The state taxes amount to 4% * $225 = $9.
To determine the social security deduction, we apply the tax rate of 7.05% to the gross earnings.
The social security deduction amounts to 7.05% * $225 = $15.86.
The total deductions are the sum of the federal taxes, state taxes, and social security deduction.
Thus, the total deductions are $40.50 + $9 + $15.86 = $65.36.
Finally, to calculate the net pay, we subtract the total deductions from the gross earnings.
Therefore, the net pay is $225 - $65.36 = $159.64.
In conclusion, the gross earnings are $225, federal taxes are $40.50, state taxes are $9, social security deduction is $15.86, total deductions are $65.36, and the net pay is $159.64.
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your dinner bill was $53.00 if you leave a 15% tip how much will the tip be?
$7.95
1) Considering that the dinner cost was $53, and we need to find out the tip equivalent to 15% of that cost, we need to calculate it this way:
2) We can multiply that 53 by 15% and then simplify it to get the answer:
\(53\times\frac{15}{100}=\frac{795}{100}=7.95\)3) So, we can state that the tip due to the waiter is $7.95
on the number line what are all the numbers absolute value if 1.5
Answer:
I think it's between +1 and +2
Step-by-step explanation:
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If i walked 14 out of the 20 days in February, which value is equivalent to the fraction of the school days in February that i walked to school?
The fraction of the school days in February that you walked to school is 7/10 or 0.7 when expressed as a decimal.
What is the fraction of school days in February that you walked to school if you walked 14 out of 20 days?
The fraction of the school days in February that you walked to school can be represented as:
(number of days you walked) / (total number of school days in February)
Since you walked 14 out of 20 days in February, we can substitute these values into the formula:
(number of days you walked) / (total number of school days in February) = 14 / 20
Simplifying the fraction by dividing both the numerator and denominator by their greatest common factor (2), we get:
(number of days you walked) / (total number of school days in February) = 7 / 10
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Does anyone know this
Answer:
AB-DE
Step-by-step explanation:
hi I m from India nice to meet you bro
guys please help me with this question, I’d appreciate it a lot
Answer:
choice 1) 3/4, 1, 5/4
Step-by-step explanation:
(3/4)² + 1² = (5/4)²
0.5625 + 1 = 1.5625
Find the rate of change of the area of a square with respect to the length z, the diagonal of the square. What is the rate when z = 3? a) dA/dz = z; rate = 6 b) dA/dz = zroot2; rate = 3 root2 c) dA/dz = 2z; rate = 3 d) dA/dz = z; rate = 3 e) dA/dz = 2z; rate = 6
The rate of change of the area of a square with respect to the length z, the diagonal of the square is dA/dz = 2z; rate = 6. The correct answer is C.
We know that the area A of a square is given by A = s², where s is the length of the sides of the square. Also, we know that the diagonal of the square (z) is related to the sides by the Pythagorean theorem: s² + s² = z² or 2s² = z² or s² = z²/2.
Taking the derivative of both sides of the equation s² = z²/2 with respect to z, we get:
2s ds/dz = 2z/2
s ds/dz = z
Now, since the area A is given by A = s², we can take the derivative of both sides of this equation with respect to z:
dA/dz = d/dz (s²) = 2s ds/dz
Substituting the value of s ds/dz obtained earlier, we get:
dA/dz = 2s (z/s) = 2z
Therefore, the correct option is (c) dA/dz = 2z, and the rate of change of the area of the square with respect to the length z is 2z. When z = 3, the rate of change is 2(3) = 6. So, the answer is (c) dA/dz = 2z; rate = 6.
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Long division
7/55
Pls help ASAP
Answer:55/7= 8
Step-by-step explanation:
It’s division
Answer:
7 with a remainder of 4
Step-by-step explanation:
Open the picture and look how i did.
Your Best Friend
s183960
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Two teammates were comparing data from five basketball games.
Andrew scored 10, 14, 8, 12, and 11 points. Leroy scored 2, 12, 9, 11, and 16
points. Who has the higher mean?
Answer:
The answer is andrew!
Step-by-step explanation:
andrew 10 + 14 + 8 + 12 + 11/ 5 = 11
leroy 2 + 12 + 9 + 11 + 16/5 = 10
[x¦7]+[3y¦(-x)]=[16¦12]
The solutions to the variables in the equation [x¦7]+[3y¦(-x)]=[16¦12] are x = -5 and y = 7
How to determine the solutions to the variablesFrom the question, we have the following parameters that can be used in our computation:
[x¦7]+[3y¦(-x)]=[16¦12]
When the equation is splitted, we have
x + 3y = 16
7 - x = 12
Add the equations to eliminate y
So, we have
3y + 7 = 28
So, we have
3y = 21
Divide
y = 7
Recall that
7 - x = 12
So, we have
x = -5
Hence, the solutions to the variables are x = -5 and y = 7
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Let X be the cholesterol level (in mg/dl) in the population of middle-aged American men, so that X follows the N(222, 37) distribution. • The probability in this population of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as Select ] • In this population, 90% of men have a cholesterol level that is at most [Select] mg/dl In the U.S. adult population, the distribution of BMI values (body mass index) are clearly right-skewed. Which of the following distributions can we nonetheless consider to be approximately Normal? (There may be one or more.) What is your reasoning? (no answer required here) The sample distribution of BMI values in a random sample of 500 adults The sampling distribution of mean BMI for random samples of 60 adults The sampling distribution of mean BMI for random samples of 9 adults
From the given information, cholesterol level X follows the N(222, 37) distribution.
The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:
z = (x - μ) / σ
For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595
For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486
The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as
P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406
In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:
z = (x - μ) / σ
Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.
So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.
By using the standard normal distribution table,
we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274
The cholesterol level of 90% of men in this population is at most 274 mg/dl.
The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.
The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.
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5. Sally took money from her bank account to go
out of town for an audition. She spent $54.00
for a round-trip ticket and 1/2 of the remaining
money for her hotel bill. She spent $7.90 for
food and arrived home with $15.10. How much
money did Sally take from her bank account?
Answer:
110
Step-by-step explanation:
Sally takes $110 from her bank account if she spent $54.00 for a round-trip ticket.
What are expenses?It is defined as the money spends on the utility, the amount of money is required to buy something, in other words, it is the outflow of money from the sole earner's income or the money incurred by any organization.
We have:
Sally took money from her bank account to go out of town for an audition.
The expeses = (7.90 + 15.10) ÷ (1 - 1/2) = $46
Total money = 54 + 46
Total money = $110
Thus, Sally takes $110 from her bank account if she spent $54.00 on a round-trip ticket.
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Evaluate ƒ(x) = –x2 – 4 for x = –3.
Answer:
f(-3) = -13
Step-by-step explanation:
Step 1: Define
f(x) = -x² - 4
x = -3
Step 2: Substitute and Evaluate
f(-3) = -(-3)² - 4
f(-3) = -9 - 4
f(-3) = -13
PLEASE HELP ME!!! IVE BEEN STUCK ON THIS FOR SO LONG!!
the answer is 3x^3 +13x^2 +6x -8.
Answer:
I can simplify it for u but not sure the product
3x(x²+3x-2)+4(x²+3x-2)
3x³+9x²-6x+4x²+12x-8
=3x³+13x²+6x-8
that's the final answer
Find the perimeter of the triangle below.
pls help!!!
Answer:
180
--
40*9 / 2
Hope this helps!!!
I NEED HELP PLEASE
To get to the park, Isaiah has to drive straight north 12 miles. To get to the hardware store, he drives directly east 35 miles. The straight-line distance between the park and the hardware store is ___ miles.
Step-by-step explanation:
it helps to draw a picture
use pythagorean thm
x =
\(x = \sqrt{ {12}^{2} + {35}^{2} } \)
Which values of x and y make RAPT a parallelogram?
The values of x and y that make RAPT a parallelogram are;
x = 15 and y = 25
How to find the angles of a Parallelogram?Angle T and angle P are supplementary angles by parallel lines. Thus they sum up to 180 degrees and we have;
3x + 10 + 8x + 5 = 180
11x + 15 = 180
11x = 165
x = 15
T = 55°
P = 125°
Likewise R and T are supplementary angles by parallel lines and so we have;
55 + 5y = 180
5y = 180 -55
5y = 125
y = 25
R = 125°
A must be 55° since the angles add up to 360°.
R + A + P + T =
125 + 55 + 125 + 55 = 360°
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How do I go about solving this.
We know that angle CBD is a right angle.
We also know that angle ABE is 180°.
Our unknown angle values are angle DBE and angle CBA.
angle CBD minus angle ABE will be 90°.
angle ABC plus angle DBE must equal 90°.
Solving for x:
(x+15)+(x)=90°
(x+15-15)+(x)=90°-15
(x)+(x)=75°
2x=75°
2x/2=75°/2
x=37.5°
Checking the work:
ABC=37.5°+15=52.5°
CBD=90°
DBE=37.5°
In conclusion, ABC plus CBD plus DBE equals 180°
Hope this helped!
A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board.
The total area of the sectors that do not allow the player to move his token is 45. 1 inches squared.
What is the radius of the spinner?
Enter your answer, rounded to the nearest tenth of an inch, in the box
Answer:
The radius is 9.28 inches.
Step-by-step explanation:
Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)
2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.
45.1 × 6
= 270.6
The entire spinner has the area 270.6
The area of a circle is:
A = pi•r^2
We are looking for r. Thats the radius they asked for in the question.
270.6 = pi•r^2
pi is a number, I'm using the pi button on the calculator bc it is most exact.
270.6 = pi•r^2
Divide both sides by pi.
86.134655 = r^2
square root both sides.
9.28 = r
The radius is 9.28 inches.
16. Make Sense and Persevere
Meghan's vegetable garden is pictured
below. What is its area?
21 ft
18 A
12 ft
38 ft
Determine whether or not the vector field is conservative. If it is conservative, find a function f such that
F =∇.f
F(x, y, z) = eyzi + xzeyzj + xyeyzk
The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C
How to determine vector field?
To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.
Taking the curl of F, we have:
curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k
Evaluating the partial derivatives, we get:
curl(F) = (z - z) i + (x - x) j + (y - y) k
= 0
Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:
f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)
∫xzeyzj dy = xy²ezj + g₂(x, z)
∫xyeyzk dz = xyzek + g₃(x, y)
Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:
f(x, y, z) = xeyzi + xy²ezj + xyzek + C
Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.
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What is an equation of the line that passes through the points (-4,-2)
and (8,1)?
Answer:
y=0.25x-1
Step-by-step explanation:
y=mx+b
slope = 0.25
y = 0.25x+b
the y intercept = -1
y = 0.25x+-1
y = 0.25x-1
a Lauren had to have a concrete slab pictured to the right poured in her backyard. How many cubic feet of concrete were poured? 12 ft 10 ft 4 ft 5 ft 3 ft 93 cubic feet 162 cubic feet 300 cubic feet 7200 cubic feet
Answer:
320 ft^3
Step-by-step explanation:
I split the shape into 3 rectangular prisms. Two where 120ft^3 and one was 80 ft^3.
Adding them all together gave me 320ft^3. ( 80ft^3+ 120ft^3 + 120ft^3= 320ft^3)
help me please
in a sale, the normal price of a hat is reduced by 15%
The sale price of the hat is 20.40 euros.
Work out the normal price of the hat.
Answer:
The correct answer is 24
Step-by-step explanation:
To solve this math problem, you will need to divide 20.40 with 1 (1 is 100% as a decimal) and 0.15 (0.15 is 15% as a decimal).
--
\(20.40\) ÷ \((1-0.15)\)
--
First, subtract 1 and 0.15
\(1-0.15=0.85\)
Next, divide 20.40 and 0.85
\(20.40\) ÷ \(0.85 = 24\)
--
Therefore, the final product of this math problem is 24