In this case,we can conclude that Foofy did better in math class.
How to determineWhen comparing English and math classes, we need to consider the scores, and the deviation from the mean.
A deviation of 1 indicates that Foofy's score was 1 standard deviation from the mean.
The formula to find out how many standard deviations from the mean a score is:
(score - mean) / standard deviation.
In her English class last semester, Foofy earned a 76 on her final test (M = 85 and s = 10).
This indicates that her English score was one standard deviation below the mean. (76 - 85) / 10 = -0.9In her math class, Foofy earned a 60 (M = 50 and s = 4).
This indicates that her math score was two and a half standard deviations above the mean. (60 - 50) / 4 = 2.5
Therefore, Foofy did better in math class.
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something2730 (question 7 only)
Answer:2737
Step-by-step explanation:
B and D meet at a 75º, as does A and C
1., express the following properties in propositional logic:
(a) For every location that is a cliff, there is an
adjacent location to it that contains some
non null quantity of resource r3.
(b) For every location that contains some
non null quantity of resource r2,
there is exactly one adjacent location that is a hill
.
(c) Resource r1 can only appear in the corners of the
grid (the corners of the grid are the locations
(1, 1), (K, 1), (1, K), (K, K)).
(a) The proposition can be expressed as ∀x(Cliff(x) → ∃y(Adjacent(x, y) ∧ NonNull(y, r3))).
(b) The proposition can be expressed as ∀x(NonNull(x, r2) → (∃y(Adjacent(x, y) ∧ Hill(y)) ∧ ¬∃z(Adjacent(x, z) ∧ Hill(z) ∧ ¬(z = y)))).
(c) The proposition can be expressed as ∀x(Resource(x, r1) → (Corner(x) ∧ ¬∃y(Resource(y, r1) ∧ ¬(x = y) ∧ Adjacent(x, y)))).
(a) In propositional logic, we use quantifiers (∀ for "for every" and ∃ for "there exists") to express the properties. The proposition (a) states that for every location that is a cliff (Cliff(x)), there exists an adjacent location (Adjacent(x, y)) to it that contains some non-null quantity of resource r3 (NonNull(y, r3)).
(b) The proposition (b) states that for every location that contains some non-null quantity of resource r2 (NonNull(x, r2)), there is exactly one adjacent location (y) that is a hill (Hill(y)), and there are no other adjacent locations (z) that are hills (¬(z = y)).
(c) The proposition (c) states that resource r1 (Resource(x, r1)) can only appear in the corners of the grid (Corner(x)), and there are no other adjacent locations (y) that contain resource r1 (Resource(y, r1)).
By using logical connectives (∧ for "and," ∨ for "or," ¬ for "not"), quantifiers (∀ for "for every," ∃ for "there exists"), and predicate symbols (Cliff, NonNull, Resource, Hill, Corner), we can express these properties in propositional logic to represent the given statements accurately.
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The function f(x) models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of ? Round to the nearest integer.
Complete question is;
The function f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?
Answer:
227 units
Step-by-step explanation:
We are given the function;
f(x) = (25000 + 280x)/x
Where;
f(x) is the average cost per unit
x is the number of units
Now, we want to find out how many units the company must produce to have an average cost per unit of $390.
Thus, plugging $390 for f(x), we have;
390 = (25000 + 280x)/x
When we cross multiply, we get;
390x = 25000 + 280x
390x - 280x = 25000
110x = 25000
x = 25000/110
x ≈ 227
Consider the predicate "enrol_mark >= 50", what row(s) will be selected for this predicate by the dbms?
The rows selected for the predicate "enrol_mark >= 50" by the DBMS will include all rows where the value of the column "enrol_mark" is greater than or equal to 50.
In a DBMS (Database Management System), a predicate is a condition or criteria used to filter and select specific rows from a database table. In this case, the predicate "enrol_mark >= 50" indicates that we are interested in selecting rows where the value of the "enrol_mark" column is greater than or equal to 50.
When the DBMS evaluates this predicate, it will scan the table and compare the value of the "enrol_mark" column for each row. If the value is greater than or equal to 50, the row will be selected and included in the result set. Rows with "enrol_mark" values less than 50 will not be included in the result set.
It's important to note that the actual rows selected by the DBMS will depend on the specific data in the table. If there are rows where the "enrol_mark" column has values greater than or equal to 50, those rows will be selected. If there are no such rows, then the result set will be empty.
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This box is 3/4 inch long, 1/2 inch wide, and 3/4 inch deep. What is the volume of the box? i
Answer:
8/4 or just 2
Step-by-step explanation:
3/4 + 1/2 + 3/4 = 4/8
but 4/8 simplified get you 2
The magnitude of Fowler's operating leverage is approximately (round to nearest hundredth): 1.35 1.29 1.15 2.88
The magnitude of Fowler's operating leverage can be calculated using the formula: Operating Leverage = % Change in Operating Income / % Change in Sales
To find the magnitude, we need to compare the percentage change in operating income to the percentage change in sales.
However, the information provided does not include any percentage changes, so we cannot calculate the exact magnitude.
The given options are: 1.35, 1.29, 1.15, and 2.88. Since we cannot calculate the exact magnitude, we can only choose the closest option based on the available information.
Without any additional context or data, it is not possible to determine the correct answer. However, based on the given options, the nearest choice to 1.35 would be the correct answer.
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The box plots show the average wind speeds, in miles per hour, for two different islands. average wind speeds on island a 2 box plots. the number line goes from 1 to 11. for the average wind speeds of cities on island a, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. a line divides the box at 4. for the average wind speeds of cities on island b, the whiskers range from 1.5 to 11, and the box ranges from 4 to 9. a line divides the box at 6. average wind speeds on island b which explains, on a given day, which island is more likely to have a wind speed close to its median?
Country B has a median wind speed that is higher than country A does.
About 7 miles per hour is the average wind speed in A.About 9 miles per hour is the average wind speed for B.What is median?The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It could be considered "the intermediate" value for a set of data.
An ordered data set's median is its middle number. The mean is calculated as the product of all values divided by all possible values.
What is average speed?The entire distance traveled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.
According to the given information:The typical wind speeds for two nations have been provided to us.
Country A's median equals the box's second term (1+9.5).
=5.25, which is the box's seventh word.
B's median is equal to (1.2+11)/2.
=6.1, where 9 is the term.
As a result, the median for country B is higher than the median for country A, with a value of 7 for A and 9 for B.
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a tank is 2.7m long 5.0m wide 3.2m high how many liters can it hold when full
Answer:
1 liter = 1,000 cubic cm.
the tank is 270 cm by 500 cm by 320 cm
270 * 500 * 320 = 43,200,000 cc =
43,200 liters =
43.2 cubic meters
Step-by-step explanation:
I need to know the answer step by step.
Answer:
108
Step-by-step explanation:
Since B=3, you need to do 4(3)^2*3
Do 3^2, which is 9,
4*9=36,
36*3=108
athXL for School:
ce & Problem S_
2 2-1: Lesson Quiz
Due 10/05/20 5:00pm
32-1: MathXL for School:
do tional Practice
gress
2.1.PS-17
Question Help
Some people advise that in very cold weather, you should keep the gas tank in your car more than
half full. Lou's car had 6.5 gallons in the 14-gallon tank on the coldest day of the year. Lou filled the
tank with gas that cost $3.80 per gallon. How much did Lou spend on gas?
He spent $on gas.
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Answer:
$28.5
Step-by-step explanation:
14-6.5=7.5
7.5x$3.8=28.5
5x-25=50
3x+9=90 n
solve both equations
Answer:
1st is x=15
2nd is x=27
Step-by-step explanation:
The area of a parcel of land can be represented by the expression 9x2 - 6x + 10. The parcel must be divided into 3 equal parts. What is an expression that represents the area of each part?
A) 3x2 - 2x + 3 1 3
B) 9x2 - 6x + 13
C) 9x6 - 6x3 + 10
D) 27x2 - 18x + 30
What is the simplified form of i^3
O A. 1
O B.-i
O c. i
O D. -1
Answer:
B
Step-by-step explanation:
B because i² makes +1 and i=-1
so i³=-i
What is the equation for the axis of symmetry of a parabola?
Answer:
The graph of the parabola is represented by the quadratic function
y = a( x - p )2 + q which has an axis of symmetry represented by the equation of the vertical line x = p.
Step-by-step explanation:
Answer:
x=-b/2a
Step-by-step explanation:
The figure below shows the perimeter of a pond:
Given that ABC is a semicircle, ACDF is a rectangle, FED is a triangle and the area of
triangle FED is 49 m², calculate
a. the diameter of the semicircle ABC
b. the area of the entire figure.
A triangle has side lengths of (5m-2n)(5m−2n) centimeters, (7m+10p)(7m+10p) centimeters, and (8p-9n)(8p−9n) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
The perimeter is given by (74m²+85n²+164p²-20mn+140mp-144pn) cm
What is perimeter?The sum of all the side lengths of a polygon is called perimeter.
Given that, A triangle has side lengths of (5m-2n)(5m−2n) centimetres, (7m+10p)(7m+10p) centimetres, and (8p-9n)(8p−9n) centimetres.
Perimeter = (5m-2n)(5m−2n)+(7m+10p)(7m+10p)+(8p-9n)(8p−9n)
= (5m-2n)²+(7m+10p)²+(8p-9n)²
= 25m²+4n²-20mn+49 m²+100p²+140mp+64p²+81n²-144pn
= 74m²+85n²+164p²-20mn+140mp-144pn
Hence, The expression giving perimeter is (74m²+85n²+164p²-20mn+140mp-144pn) cm
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name least to greatest
3780
3.78
0.378
378
0.0378
Answer:
0.0378
0.378
3.78
378
3780
Answer: 0.0378, 0.378, 3.78, 378, 3780
Step-by-step explanation:
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
Select the correct answer.
What is the domain of the function shown in the graph?
A.-∞ < x < ∞
B. x ≥ 2
C. x> 0
D. x ≤ -2
The correct option A.-∞ < x < ∞, shows the domain of the function shown for the graph.
Explain about the domain of the function:The collection of all possible inputs for a function is its domain.
Graphing and algebra are the two techniques used to determine a function's domain.
Use the equation to consider inputs that would result in an undefined value, including such fractions and square roots, in order to obtain the domain algebraically. Decide in which the function is graphed and note the x-values of the region(s) to locate it by graphing.A function is a mathematical construct that receives an input, processes it according to a rule, and then outputs the outcome. As a result, the output will never change if the same value is passed into the same function.For the given graph of the function:
As, the graph is the non ending curve extending in both positive as well as negative x axis.
Domain - (-∞ < x < ∞)
Thus, domain of the function shown for the graph lies between negative infinity to positive infinity.
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Answer: it’s B
Step-by-step explanation:
Try It!
») There are 1 x 1014 good bacteria in the human body.
There are 2.6 x 1018 good bacteria among the
spectators in a soccer stadium. About how many
spectators are in the stadium? Express your answer in
scientific notation.
Answer:
There are 2.6 * 10^4 spectators in the soccer stadium.
Step-by-step explanation:
(2.6 * 10^18) * (1 * 10^14)
2.6 10^18
1 10^14
2.6 * 10^18-14
2.6 * 10^4
11. What is the sign of the product of any odd number of
negative integers? Explain your reasoning.
Explanation:
The sign of the product of any odd number of negative integers is positive because when two minuses are multiplied with each other, it will result in a positive number.
For example:
-3 x -5=> -1 x -1 x (3 x 5)=> 1 x (3 x 5)=> 15 (Which is positive)Hoped this helped!
In a class of 25 pupils, 8 cannot swim. What percentage of the class can swim?
Answer:
12 i think im not exactly shore
Step-by-step explanation:
write an expression thats is equivalent to 8(a+5)
Answer:
8a+40
Step-by-step explanation:
8(a+5)
Distribute the (8) by multiplying it by the (a) and the (5).
Nina owns a condominium where she paid $3,340 in maintenance fees this year. If her property taxes are 15% of this amount, how much did Nina pay in property taxes?
Nina pay in property taxes 501. or \(5.01*10^{2}\).
A property tax, often known as a millage rate, is an ad valorem tax based on a property's value. The tax is imposed by the administrative body of the region where the property is situated. This could be the federal government, a federated state, a county, a region of land, or a municipality. The average effective property tax rate in the Lone Star State is 1.60%, making Texas' property taxes the seventh-highest in the nation. Comparing that to the current 0.99% national average will help. Property taxes in Texas cost the average homeowner $3,797 a year. It is well known that British property owners do not pay property tax. But hold on, it's too soon to celebrate because there might still be taxes to pay.
Based on the given conditions, formulate:
3340*15%
Calculate.
501
Alternative forms.
\(5.01*10^{2}\)
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Find the outer perimeter of
3 ft
this figure. Round your
answer to the nearest
hundredth. Use 3.14 to
4 ft
approximate T.
5 ft
D
5 ft
P = [?]ft
WILL GIVE BRAINIEST!!!
Answer:
x=1
Step-by-step explanation:
Both graphs intersect at 1
Answer:
x=1
Step-by-step explanation:
They sectioned at 1
Find the circumference of the circle.
\(\sf\green{The\:circumference\:of\:the\:circle\:is \:25.1428\:cm.}\)
Given:-\(\sf\purple{Radius\:of\:the\:circle}\) = 4 cm.
To find:-\(\sf\red{The\:circumference\:of\:the\:circle.}\)
Step-by-step explanation:-We know that,
\(\sf\purple{Circumference\:of\:a\:circle}\) =
\(2 \: \pi \: r \\ = 2 \times \frac{22}{7} \times 4 \: cm\\ = \frac{176}{7} \: cm \\ = 25.1428 \: cm\)
\({\boxed{\mathcal{\red{Hence,\:the\:circumference\:of\:the\:circle\:is\:25.1428\:cm.}}}}\)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
In 20 years, Selena Oaks is to receive $300,000 under the terms of a trust established by her grandparents. Assuming an interest rate of 5.1%, compounded continuously, what is the present value of Selena's legacy?
The present value of Selena's legacy, which she will receive in 20 years, can be calculated using the formula for continuous compounding. Assuming an interest rate of 5.1% compounded continuously, we can determine the amount of money needed today to yield $300,000 in 20 years.
The formula for continuous compounding is given by the equation:
PV = FV / e^(rt)
Where PV is the present value, FV is the future value, r is the interest rate, t is the time period in years, and e is the mathematical constant approximately equal to 2.71828.
In this case, FV is $300,000, r is 5.1% (or 0.051), and t is 20 years. Plugging in these values into the formula:
PV = 300,000 / e^(0.051 * 20)
To find the present value, we need to calculate e^(0.051 * 20). Evaluating this expression:
e^(0.051 * 20) ≈ 2.71828^(1.02) ≈ 2.77302
Now, we can calculate the present value:
PV = 300,000 / 2.77302 ≈ $108,170.63
Therefore, the present value of Selena's legacy, considering continuous compounding at an interest rate of 5.1%, is approximately $108,170.63.
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Determine whether each series is arithmetic or geometric. Then evaluate the finite series for the specified number of terms. 2+4+8+16+ . . . . ; n=10
The given series 2+4+8+16+... is a geometric series. When evaluating the finite series 2+4+8+16+... for 10 terms, the sum is 2046.
A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a constant ratio. In this case, each term is obtained by multiplying the previous term by 2, which gives us the common ratio of 2.
To evaluate the finite series for the specified number of terms, n = 10, we can use the formula for the sum of a geometric series:
S = a(1 - r^n) / (1 - r)**
where:
S represents the sum of the series,
a is the first term of the series,
r is the common ratio, and
n is the number of terms.
In this case, the first term (a) is 2, the common ratio (r) is 2, and the number of terms (n) is 10. Let's substitute these values into the formula:
S = 2(1 - 2^10) / (1 - 2)
Simplifying further:
S = 2(1 - 1024) / (-1)
S = (2 - 2048) / (-1)
S = -2046 / (-1)
S = 2046
Therefore, when evaluating the finite series 2+4+8+16+... for 10 terms, the sum is 2046.
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3x+1=10 have one solution, no solution, or infinitely many solutions?
Answer:
Has one solution
Step-by-step explanation:
3 x+1-1=10-1
3x=9
9÷3
x=3