The number of students studying English but not history or political science is: |E - (H P)| = |E | - |H P E| |E - (H P)| = 36 - 66 |E - (H P)| = -30
What is equation?An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true.
Let E represent the group of students studying English, H represent the group of students studying history, and P represent the group of students studying political science.
|E - (H P)| = |E | - |H P E|
|E| = 36 |H| = 32 |P| = 32 |H P| = 16 |E H| = 16 |P| = 14 |E H P| = 6
We can use the PIE formula to find |H P E|:
|H P E| = |H| + |P| + |E| - |H P| - |E H| - |E P| + |E H P| + |E H P|
|H P E| equals 32 + 32 + 36 - 16 - 16 - 14 + 6 |H P E| equals 66
As a result, the number of students studying English but not history or political science is:
|E - (H P)| = |E | - |H P E| |E - (H P)| = 36 - 66 |E - (H P)| = -30
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Evaluate yz + x² x=3.2, y=6.1, z=0.2
Answer:
Step-by-step explanation:
To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:
yz + x²
Substituting the given values, we get:
(6.1 * 0.2) + (3.2^2)
This simplifies to:
1.22 + 10.24
Therefore, the value of the expression is approximately 11.46.
11.46
gimme brainlyest gang
Carolyn is sewing a border around a rectangular quilt that is 80 inches long and 60 inches wide. How many inches is the border?
Answer:
280 inches
Step-by-step explanation:
if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all
Answer:
rock: not rock
7:13
Step-by-step explanation:
First determine how many songs are not rock
60-21 = 39
There are 39 songs that are not rock
ratio of rock to not rock
rock: not rock
21:39
We can divide by 3
21/3:39/3
7 : 13
Given conversion factor what is the above line segment's unit
1 ft
measure in inches? Round your answer to the nearest tenth.
Answer here
Please help
24
Step-by-step explanation:\(Convert\ the\ unit\ for\ \frac{12in}{1ft}:\\ \downarrow\\ 24\)
I hope this helps you
:)
1. Yes, AA~
2. These figures are not similar
3. Yes, SAS~
4. Yes, SSS~
Answer:
These figures are not similar
Step-by-step explanation:
The two sides are proportional, but the angle between them are not congruent.
One angle is marked with one arc.
The other is marked with two arcs.
They must have the same number or arcs to be considered congruent.
Tricky
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
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0.75(8+e)=2−1.25e slove for E
The value of 'E' in the algebraic equation is -2
What is algebraic equation?Algebraic equation is a mathematical statement in which two expressions are set equal to each other.
Therefore, let solve for 'E' in the equation 0.75(8+e)=2−1.25e
Use 0.75 to open the bracket
6 + 0.75e = 2 -1.25e
Collect the like terms
0.75e+1.25e = 2-6
2e = -4
Divide both sides by 2
2e/ 2 = -4/2
e =-2
Therefore, the value of 'E' in the equation is -2
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· 100 · (0.7)3. (1 - 0.7)5-3?
Two cars travel at the same speed to different destinations. Car A reaches its destination in 12 minutes. Car B reaches its destination in 18 minutes. Car B travels 4 miles farther than Car A. How fast do the cars travel? Write your answer as a fraction in simplest form.
Answer:
chatGPT
Step-by-step explanation:
Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:
d = v * (12/60) (since Car A reaches its destination in 12 minutes)
d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)
Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:
12v = 60d
18v = 60d + 240
Subtracting the first equation from the second, we get:
6v = 240
Therefore:
v = 240/6 = 40
So the cars travel at a speed of 40 miles per hour.
katie baked a cake. Her brother ate 1/4 of the cake, her father ate 1/4 of the cake, and her mother ate 1/4 of the cake. How much of the cake is left?
A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 3/4
Answer:1/4
Step-by-step explanation:
1/4x3=3/4
1-3/4=1/4
Answer:
B. 1/4
Step-by-step explanation:
The cake is 1 whole or 4/4 total. If 3 people ate 1/4 then 3/4 of the cake was eaten. This leaves only 1/4 of cake left.
Hope it helps!
What is the slope of the line that represents this relationship can I also get a image on how too do the graph as well
The slope of the line that represents the relationship between x and y is 3.33.
What is positive and negative slope?
The slope of a line, which in mathematics is a measure of how steep it is, is the ratio of the change in the y-coordinate to the change in the x-coordinate between two points on a line. In contrast to a line with a negative slope, which is travelling downhill from left to right, a positive slope line is moving uphill from left to right. The y-coordinate rises as the x-coordinate rises in a positive slope, whereas the y-coordinate falls as the x-coordinate rises in a negative slope, to put it another way.
The slope of the line is given as:
slope = (change in y) / (change in x)
Substituting the points (0, 0) and (0.3, 1).
slope = (1 - 0) / (0.3 - 0) = 1 / 0.3 = 3.33
Hence, the slope of the line that represents the relationship between x and y is 3.33.
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Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers,
How many chocolates does Steve have left?
Wite your answer as an expression
chocolates
Answer:
48 - 8c
Step-by-step explanation:
let c be the number of coworkers
48 - 8c would be the expression because it starts with 48 and for every coworker 8 is subtracted.
Answer:
n = 48 - 8x
Step-by-step explanation:
n = how many chocolates Steve has left.
x = how many coworkers
Which of the following is true of the data represented by the box plot
Answer:
The data is skewed to the bottom and contains an outlier.
Step-by-step explanation:
1. Test for outlier
An outlier is a point that is more than 1.5IQR below Q1 or above Q3.
IQR = Q3 - Q1 = 74 - 51 = 23
1.5 IQR = 1.5 × 23 = 34.5
51 - 15 = 36 > 1.5IQR
The point at 15 is an outlier.
2. Test for normal distribution
The median is not in the middle of the box.
Rather, it cuts the box into two unequal parts, so the data does not have a normal distribution.
3. Test for skewness
The longer part is to the left of the median, so the data is skewed left.
Factor 32x3 – 32x2 + 8x by first finding the GCF, then factor the quadratic that is left. Be sure to factor completely and show your work. If this is not possible for some reason, state why.
Step-by-step explanation:
32x^3 - 32x^2 + 8x
= 8x(4x^2 - 4x + 1)
= 8x(2x - 1)^2.
2. 8 × - 11 - 3× + 8
please solve this thankyou!!
Answer:
-54.8 ( in fraction -274/5)Step-by-step explanation:
2.8 × (-11) - 3 × 8 =
-30.8 - 24 =
-54.8 ( in fraction -274/5)
Let f be the function with derivative given by f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. Which of the following statements is true?
A) f is decreasing for −a
B) f is decreasing for x<−a and x>a because f′(x)<0 for x<−a and x>a.
C) f is decreasing for x<0 because f′(x)<0 for x<0.
D) f is decreasing for x<0 because f′′(x)<0 for x<0.
C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of f is f′(x)=x2−a2=(x−a)(x+a).
This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.
The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.
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11.Area of Triangle is 18 cm sq. and Sum of Base and Altitude is 12 cm. The Base and Altitude are:
(1 Point)
4 , 8 4 cm, 8 cm
8, 4 8cm, 4 cm
6 , 6 6 cm, 6 cm
10 , 2 10 cm, 2 cm
Answer:
base and altitude both are 6 cmand 6cm
What is the maximum number of major ideas that can be included in a specific purpose statement?
one
The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience
A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.
The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.
In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.
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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.
Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.
The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.
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9 1/10 - 4 3/4
fraction need help now pls do not lie just for points will be reported
Answer:
4.35 or 87/20
Step-by-step explanation:
try desmos scientific calculator to help with other question.
The midpoint of AB= A=(-2,1) B=(1,-1)
Answer:
(-0.5,0)
Step-by-step explanation:
choose any 2n 1 points. prove that if you connect your 2n 1 points pairwise by lines (a line extends to infinity in both directions), the total number of lines willbe less than n(2n + 1)
CLUE: Experiment with specific values for n first, say n = 1, n = 2, and n = 3, to recieve an idea of the problem.
Answe
SThe total number line will be less than n(2n+1).Here is the proven answer,
Defination of number line?
A number line is a visual representation of numbers, usually represented as a straight line, with zero in the middle and positive numbers to the right and negative numbers to the left.
Now the answer,
Let's start by experimenting with small values of n.
When n=1, we have 3 points and 3 lines connecting them. Therefore, n(2n+1) = 3, which is greater than the number of lines.
When n=2, we have 5 points and 10 lines connecting them. Therefore, n(2n+1) = 10, which is equal to the number of lines.
When n=3, we have 7 points and 21 lines connecting them. Therefore, n(2n+1) = 21, which is less than the number of lines.
Based on these examples, it seems that the number of lines we can draw is greater than n(2n+1) when n is small and less than n(2n+1) when n is large.
Now let's try to prove this statement. We can draw a line between any two points, so the total number of lines we can draw is equal to the number of pairs of points we can choose. The number of pairs of points we can choose from 2n+1 points is (2n+1) choose 2, which is equal to (2n+1)(2n)/2 = (2n^2+n).
Therefore, we need to show that (2n^2+n) < n(2n+1) for all positive integers n.
Expanding the right-hand side gives us n(2n+1) = 2n^2+n. So we need to show that (2n^2+n) < 2n^2+n for all positive integers n, which is clearly true.
The total number of lines we can draw is less than n(2n+1).
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For what value of x is sin ( x ) = cos 62, where 0 < x < 90?
Answer:
x = 28°
Step-by-step explanation:
using the cofunction identity
cos x = sin(90 - x) , then
cos62° = sin(90 - 62)° = sin28°
I need help with this ASAP!!!
Answer:
27.2 meters
Step-by-step explanation:
p= L*4
cuz its a square all equal sides so...
2.8+2.8+2.8+2.8=27.2
see attachment below
Answer:
144
Step-by-step explanation:
I think.
Question 11
Find the slope between the two given points.
Answer:
Pretty sure the Answer is b. and if not b then c.
Step-by-step explanation:
Use the slope formula y2-y1/x2-x1.
7-3/2-9=4/-7
Answer:
D. m=-4/7
Step-by-step explanation:
To find a slope with 2 points use the formula m=(y2-y1)/(x2-x1)
X is the first number in the parenthesis and Y is the second
A includes X1 and Y1 and B includes X2 and Y2
substitute your numbers into the equation to make
7-3/2-9 then you just subtract to get 4/-7 or -4/7
log(2x)=2 what is the value of x.
Answer:
Step-by-step explanation:
12
ASAP I NEED HELP ON A BONUS QUESTION AND I NEED THESE EXTRA POINTS ILL GIVE YOU 20 POINTS
HELP PLEASE! :( The temperature of a cup of coffe changed by -54°F over 22 1/2 minutes. What was the change in temperature each minute?
A coffee's temperature changed by -54°F in =
\( = 22\frac{1}{2} \: minutes\)
The temperature change in the coffee each minute :-
\( = - 54 \div 22\frac{1}{2} \)
\( = - 54 \div \frac{(2 \times 22 + 1)}{2} \)
\( = - 54 \div \frac{45}{2} \)
\( = - 54 \times \frac{2}{45} \)
\( = \frac{ (- 54 \times 2)}{ \: \: 45} \)
\( = \frac{ - 108}{ \: \: \: 45} \)
\(\color{magenta} = - 2.4°F\)
Therefore , the temperature change in the coffee each minute was = -2.4°F .
a local ice cream shop has a special deal on thursdays: buy a waffle cone for $3 and get each scoop of ice cream for $1.50. what would be the rate of change in this word problem?
In the given word problem, the rate of change is the change in the cost of the ice cream concerning the change in the number of scoops.
That is, the rate of change is the ratio of the change in the cost of ice cream and the change in the number of scoops. Let's first calculate the initial rate of change or slope of the given deal: When we buy a waffle cone, the cost is $3, and we can buy one scoop of ice cream for $1.50.So, for one scoop of ice cream, the total cost would be 3 + 1.50 = $4.50.
We can represent the cost of one scoop of ice cream with the help of a linear equation: y = mx + b. Here, the slope or the rate of change, m = Change in cost of ice cream/ Change in the number of scoops= 1.5/1= 1.5Therefore, the rate of change of the ice cream with respect to the number of scoops is $1.50/scoop.
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A given product has a weekly demand that averages 100 per week and with a weekly standard deviation of 35.35. Lead time is two weeks. If the carrying cost is $ 5 per unit and the cost per order is the hourly wage rate of $ 169 per order, answer the following:
1. How much is the Economic Order Quantity?
2. How much is the reorder quantity?
3. How many cycles are there?
4. How many orders are there?
5. How much is the cycle time?
6. How much is the average inventory?
7. How much is the standard deviation of demand during lead time?
8. If the manager wants a service level of 99%, how much is the safety stock?
9. How much is the cost of the safety stock?
10. How much is total cost (without the cost of the safety stock)?
To maintain a service level of 99%, we need a safety stock of 81.28 units, and the total cost (without the cost of the safety stock) is $10,753.62, taking into account both the ordering cost and carrying cost.
To calculate the safety stock, we need to use the formula: Safety stock = Z-score * standard deviation * square root of lead time. For a service level of 99%, the Z-score is 2.33. Plugging in the values, we get the safety stock to be 81.28 units.
To calculate the total cost, we need to consider the ordering cost and the carrying cost. The annual demand is 100 * 52 = 5200 units. The ordering cost is the hourly wage rate of $169 per order, so for a year, it would be 5200/EOQ * $169. The EOQ can be calculated as follows: square root of (2 * annual demand * ordering cost / carrying cost). Plugging in the values, we get the EOQ to be 202.09 units.
The carrying cost is $5 per unit, so for a year, it would be 5200/2 * 81.28 * $5. Adding the ordering cost and carrying cost, we get the total cost to be $10,753.62.
In summary, to maintain a service level of 99%, we need a safety stock of 81.28 units, and the total cost (without the cost of the safety stock) is $10,753.62, taking into account both the ordering cost and carrying cost.
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