Answer: X = 7
Step-by-step explanation: 5x=35
5x = 35
5 5
x=7
A survey asked college students the number of week days they go to a live class on campus, # of days in class (x) 0 1 2 3 4 5 (P(x) 0.34 0.22 0.22 0.10 0.08 0.04 What is the probability a student attends a live class at least 2 days a week? What is the probability a student attends a live class less than 2 days a week?
The probability that a student attends a live class at least 2 days a week is 0.58 and the probability that a student attends a live class less than 2 days a week is 0.56.
To find the probability that a student attends a live class at least 2 days a week, we need to add up the probabilities of attending class for 2, 3, 4, and 5 days. This is because attending 0 or 1 day a week means attending less than 2 days, so we need to exclude those probabilities.
P(attending at least 2 days) = P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)
= 0.22 + 0.22 + 0.10 + 0.04
= 0.58
Therefore, the probability that a student attends a live class at least 2 days a week is 0.58.
To find the probability that a student attends a live class less than 2 days a week, we need to add up the probabilities of attending 0 or 1 day a week.
P(attending less than 2 days) = P(x = 0) + P(x = 1)
= 0.34 + 0.22
= 0.56
Therefore, the probability that a student attends a live class less than 2 days a week is 0.56.
To learn more about probability, refer:-
https://brainly.com/question/11234923
#SPJ11
The following diagrams show two rectangles.Given the perimeter of diagram A is 12cm while the perimeter of diagram B is twice the perimeter of diagram A.Find the values of x and y.
Step-by-step explanation:
i tried to solve one question. if it is correct then u can try another also same like this.
Score for Question 1: of 3 points) • Marcos can seal 5 envelopes every minute. Jerry can seal 7 envelopes every minute. They both seal envelopes for 1 hour nonstop. How many more envelopes does Jerry seal than Marcos? Show your work.
Answer: 120
Step-by-step explanation: Jerry Would Seal 420 In 1 Hour, and Marco's would seal 300 in 1 hour, so Jerry sealed 120 more than Marco's.
Answer:
The answer is 120
Step-by-step explanation:
Mr. Winters has a $50 daily budget for car rental. He has rented a car for a flat $10 a day, plus $0.12 per mile. What mileage will keep him within his budget?
Answer:
333 miles
Step-by-step explanation:
50 = 10 + 0.12x
40 = 0.12x
333.33 miles = x
equals to spending $49.96
The prism below has two faces that are regular hexagons. Each hexagonal face has an area of 42 cm². What is the surface area of the prism? Remember to give the correct units.
Answer:
276 cm^2
Step-by-step explanation:
P = 4 x 6 = 24 cm
lateral area = 24 x 8 = 192 cm^2
Surface area = 42 x 2 + 192 = 84 + 192 = 276 cm^2
Hi I need help every answer that was given to me was wrong as well as the explanation please help
Answer:
Explanation:
If we reflect a coordinate, (x, y) over the y axis, the sign of the y coordinate remains the same while the sign of the x coordinate reverses. From the information given,
The coordinates of the original triangle are
D(3, 6), E(- 4, - 3), F(6, 1)
The coordinates of the image are
D'(1, 6), E'(8, - 3), F'(- 2, 1)
Also, if a coordinate is reflected over the line, x = k, the new coordinates would be
(2k - x, y). Let us assume that k = 2. By reflecting the line over x = 2, we have the following coordinate
For D(3, 6), the new coordinate is
(2 * 2 - 3, 6) = (4 - 3, 6) = (1, 6)
For E(- 4, - 3), the new coordinate is
(2 * 2 - 4, - 3) = (4 - - 4, - 3) = (8, - 3)
For F(6, 1), the new coordinate is
(2 * 2 - 6, 1) = (4 - 6, 1) = (- 2, 1)
We can see that the coordinates match the ones stated. Thus, the reflection rule is
A reflection over the line, x = 2
The proportion of blood phenotypes, A, B, AB and O, in the population of all Caucasians in the United States are approximately, 0.41, 0.10, 0.04, and 0.45, respectively. A single Caucasian is chosen at random from the population. a. List the sample space of this experiment b. Make use of the information given above to assign probabilities to each of the simple events. c. What is the probability that the person chosen at random has either type A or type AB blood
a. The sample space of this experiment would be as follows:S = {A, B, AB, O}Where A is for phenotype A, B is for phenotype B, AB is for phenotype AB, and O is for phenotype O.
b. The probability of each phenotype is as follows: P(A) = 0.41, P(B) = 0.10, P(AB) = 0.04,P(O) = 0.45
c. The probability that the person chosen at random has either type A or type AB blood is 0.45 or 45%.
a. The sample space of this experiment would be as follows:S = {A, B, AB, O}Where A is for phenotype A, B is for phenotype B, AB is for phenotype AB, and O is for phenotype O.
b. Given, the proportion of blood phenotypes, A, B, AB and O, in the population of all Caucasians in the United States are approximately, 0.41, 0.10, 0.04, and 0.45, respectively.
Then the probability of each phenotype is as follows:
P(A) = 0.41 P(B) = 0.10 P(AB) = 0.04 P(O) = 0.45
c. The probability that the person chosen at random has either type A or type AB blood is:
P(A) + P(AB) = 0.41 + 0.04 = 0.45
Therefore, the probability that the person chosen at random has either type A or type AB blood is 0.45 or 45%.
Learn more about probability here https://brainly.com/question/2561151
#SPJ11
The range of which function is (2, ∞) ? y = 2 ^ x; y = 2(5 ^ x); y = 5 ^ (x + 2); y = 5 ^ x + 2
Answer:
y = 5^x + 2
Step-by-step explanation:
The function with a range of (2, ∞) is y = 5^x + 2.
To see why, let's analyze each function in turn:
y = 2 ^ x
As x increases, 2^x increases, but it never reaches 2. The range of this function is therefore (0, 2).
y = 2(5 ^ x)
As x increases, 5^x increases and 2(5^x) increases as well. Since 5^x can be arbitrarily large, 2(5^x) can also be arbitrarily large. Therefore, the range of this function is not (2, ∞).
y = 5 ^ (x + 2)
As x increases, 5^(x+2) increases, but it never reaches 5^2 = 25. The range of this function is therefore (0, 25).
y = 5 ^ x + 2
This function can be interpreted in two ways: either as 5^(x+2), or as (5^x) + 2. If we interpret it as 5^(x+2), the range is (5^2, ∞) = (25, ∞). If we interpret it as (5^x) + 2, then the range is (2, ∞).
Therefore, the function with a range of (2, ∞) is y = 5^x + 2.
A rectangular prism has a volume of 2,340 cubic
centimeters. The prism is 15 centimeters tall and 26
centimeters long. How wide is the prism?
Each month, a shopkeeper spends 9x+14 dollars on rent and electricity If she spends 7x-5 dollars on rent, how much does she spend on electricity? Use pencil and paper. Fo
value(s) of x is the amount the shopkeeper spends on electricity less than $100?
The x can be any number less than 40.5 and the shopkeeper will spend less than $100 on electricity.
What is value ?The value refers to the worth of each digit depending on where it lies in the number. We calculate it by multiplying the place value and face value of the digit.
Let x be the amount in dollars that the shopkeeper spends on rent.
The amount the shopkeeper spends on electricity is 9x + 14 - 7x + 5 = 2x + 19.
So, the shopkeeper spends on electricity 2x + 19 < 100.
Solving for x, we get 2x + 19 < 100
2x < 81
x < 40.5
Therefore, x can be any number less than 40.5 and the shopkeeper will spend less than $100 on electricity.
Learn more about value here : brainly.com/question/24305645
#SPJ1
Express the inequality a < -0.18 using interval notation
Answer:
( -∞, -0.18 )
Step-by-step explanation:
a < -0.18
Interval Notation: ( -∞, -0.18 )
OMG PLEASE HELP IF I DONT PASS THIS I FAIL MY CLASS! HELP! 30 POINTS SHOW WORK IF U NEED TO PLEASE! thank you too anyone(PRETTY PLEASE SHOW HOW YOU DID IT/can you show work)
Answer:
C seems right to me
Step-by-step explanation:
Nicole charges a flat fee of $15 for babysitting plus $7 per hour a) write about equation to find the total payout. b) Evaluate an equation to find the total payout if Nicole babysits for 5 hours.
Answer:
a) t = 7x + 15
b) Nicole is paid $50 for 5 hours.
Step-by-step explanation:
flat fee = a price that will not change = $15
$7 per hour = a price of $7 for an unknown amount of hours (x) = 7x
Let "x" = amount of hours.
Let "t" = total cost.
Set the equation:
t = 7x + 15
Nicole babysits for 5 hours. Plug in 5 for x in the equation:
t = 7x + 15
t = 7(5) + 15
t = 35 + 15
t = 50
Nicole is paid $50 for 5 hours.
~
Mr. ivin's algebra class is learning the pythagorean theorem. he has two students that are auditory learners and are struggling with the concept. what activity would best help them learn the theorem?
In a right - angled triangle, the square of the hypotenuse of a triangle is equal to the sum of the square of the other two sides.
Step 1: Make a right - angled triangle with base, perpendicular and hypotenuse has length of their side a, b, c respectively.
Step 2: Make squares on the base, perpendicular and hypotenuse with side length a, b and c respectively.
Step 3: Now measure the area of square with side b and a, which are on perpendicular and base of a triangle respectively.
Step 4: Measure the area of the with side c, which is on the hypotenuse of a triangle, area is: \(c^{2}\).
Step 5: Add the area of squares with sides a and b, sum of their area is: \(a^{2} + b^{2}\).
Observation and Result:
We will notice that the area of square with side a and b is equal to the area of square with side c.
⇒ \(a^{2} + b^{2} = c^{2}\)
∴ The square of the hypotenuse in a right-angled triangle is equal to the sum of the square of the other two sides.
For more information on this, visit:
https://brainly.com/question/343682
#SPJ4
In a right triangle, the square of the hypotenuse of the triangle is equal to the sum of the squares of the other two sides.
Construct a right triangle with base, perpendicular and hypotenuse lengths a, b and c respectively. Create a square with base, perpendicular and hypotenuse sides of lengths a, b and c respectively. Next, measure the area of the square whose sides b and a are perpendicular and base of the triangle, respectively. If you measure the area of side c that is the hypotenuse of the triangle, the area is c². Adding the areas of the squares with sides a and b gives the sum of their area gives a² + b².Note that the area of the square with sides a and b is equal to the area of the square with side c.
a² + b² = c²
Therefore, the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Learn more about this theorem here
https://brainly.com/question/343682
#SPJ4
as you consider the various factors involved in starting a group, what is the most important factor you have to judge?
As you consider the various factors involved in starting a group, the most important factor you have to judge is the group's purpose or goal.
Step 1: Identify the group's purpose or goal - This is crucial because it will guide all other decisions, including membership criteria, communication methods, and meeting schedules.
Step 2: Assess the needs and resources of potential members - This will help you understand their motivations and ensure the group can support their needs while accomplishing its goal.
Step 3: Establish clear membership criteria and expectations - This will ensure that everyone in the group is on the same page and committed to the same goals.
Step 4: Choose an appropriate communication method - This will facilitate smooth and efficient communication among group members.
Step 5: Develop a meeting schedule that works for all members - Regular meetings help keep the group on track and provide opportunities for collaboration and feedback.
By focusing on the group's purpose or goal, you can create a solid foundation for a successful and productive group.
To know more about "Communication" refer here:
https://brainly.com/question/30389550#
#SPJ11
HELP ME PLEASE 100 POINTS TO ANSWER THESE
Answer:
i did this before 1 24 2 105 3 135 4 36
Step-by-step explanation:
Answer:
1: 35/7= 5 and 5*2= 10 pencils
2: 30/5= 6 and 6*6= 36 oz of yellow paint
3: 60/4= 15 and 15*9= 135 cups of grapefruit juice
4: 63/3= 21 and 21*5= 105 grams of food
Enter the expression using exponents. 14 × 14 × 14 × 14 × 14 × 14 = ?
The requried expression of 14 × 14 × 14 × 14 × 14 × 14 using exponents is 14⁶.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As we know that while multiplying the identical terms the product is equal to the number with the sum of the exponents such as a × a = a¹⁺¹ = a².
Similarly,
14 × 14 × 14 × 14 × 14 × 14 can be written using exponents as, 14⁶
To evaluate this expression, you can use a calculator or simplify it using the laws of exponents.
Thus, the requried expression using exponents is 14⁶.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
I’m confused on what number 4 means. Can someone please help?
Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on
Step-by-step explanation:
Find an equation of the plane passing through the points P=(3,2,2),Q=(2,2,5), and R=(−5,2,2). (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equation in scalar form in terms of x,y, and z.
The equation of the plane passing through the given points is 3x+3z=3.
To find the equation of the plane passing through three non-collinear points, we first need to find two vectors lying on the plane. Let's take two vectors PQ and PR, which are given by:
PQ = Q - P = (2-3, 2-2, 5-2) = (-1, 0, 3)
PR = R - P = (-5-3, 2-2, 2-2) = (-8, 0, 0)
Next, we take the cross product of these vectors to get the normal vector to the plane:
N = PQ x PR = (0, 24, 0)
Now we can use the point-normal form of the equation of a plane, which is given by:
N · (r - P) = 0
where N is the normal vector to the plane, r is a point on the plane, and P is any known point on the plane. Plugging in the values, we get:
(0, 24, 0) · (x-3, y-2, z-2) = 0
Simplifying this, we get:
24y - 72 = 0
y - 3 = 0
Thus, the equation of the plane in scalar form is:
3x + 3z = 3
Learn more about cross product here:
https://brainly.com/question/14708608
#SPJ11
How did you know that the values of the variables really satisfy the equation?
Answer:
To know if the value that we have satisfies the given equation, we have to do the checking. To check, we have to substitute the value that we get to the variable and solve the equation. Example: ... Therefore, we can conclude that 25 is the correct value of x, and it satisfies the equation.
Step-by-step explanation:
Which equation is true when x = 3?
Group of answer choices
8x = 28
x - 19 = 16
28 + x = 25
x/3 = 1
The equation that is true when x is equal to 3 is (x/3) = 1. By substituting the given x value and simplifying the equation we can solve.
What is division?Division is a mathematical operation that is used to split a quantity or value into equal parts or groups. It is one of the four basic arithmetic operations, along with addition, subtraction, and multiplication.
According to question:The equation that is true when x = 3 is:
x/3 = 1
Substituting x = 3, we get:
3/3 = 1
Which is true, since 3 divided by 3 is equal to 1.
The other equations:
8x = 28: If we substitute x = 3, we get 8(3) = 24, which is not equal to 28, so this equation is not true when x = 3.x - 19 = 16: If we substitute x = 3, we get 3 - 19 = -16, which is not equal to 16, so this equation is not true when x = 3.28 + x = 25: If we substitute x = 3, we get 28 + 3 = 31, which is not equal to 25, so this equation is not true when x = 3.To know more about division visit:
https://brainly.com/question/1575906
#SPJ9
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 16 inches high and had a radius of 5 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
Therefore, the volume of the paper cone to the nearest tenth is 418.7 inches cubed.
The volume of the paper cone that Gretchen made to hold a gift for a friend is given by;V= (1/3)πr²hWhere;r = radius of the paper coneh = height of the paper coneπ = 3.14
Given that;Height of the paper cone (h) = 16 inches Radius of the paper cone (r) = 5 inchesWe are to find the volume (V) of the paper cone to the nearest tenth of an inch.
To obtain the volume of the paper cone, we can substitute the values of r and h in the formula above to obtain;
\(V= (1/3)\pir^2hV\)= \((\frac{1}{3} ) \times 3.14\times5^2 \times16V = (\frac{1}{3} ) \times 3.14\times25\times16V = (\frac{1}{3}) \times 1256V=418.7\)
For such more question on paper cone
https://brainly.com/question/27270005
#SPJ8
students are playing a games. The blue team need to advance the ball at least 10 yards to score any points. Which inequality shows this relationship, where x is the number of yards the blue team needs to advance the ball to score any point?
The inequality x ≥ 10 represents the relationship where the blue team needs to advance the ball at least 10 yards to score any points.
The inequality that represents the relationship for the blue team needing to advance the ball at least 10 yards to score any points can be expressed as:x ≥ 10
In this inequality, x represents the number of yards the blue team needs to advance the ball. The "≥" symbol indicates "greater than or equal to," meaning that the blue team must advance the ball by at least 10 yards to score any points.
If the blue team advances the ball exactly 10 yards, the inequality is satisfied because it meets the minimum requirement. If the blue team advances the ball by more than 10 yards, the inequality is still satisfied.
However, if the blue team advances the ball by less than 10 yards, the inequality is not satisfied, and they will not score any points.
For more such questions on inequality
https://brainly.com/question/27480189
#SPJ8
Qd=95−4P
Qs=5+P
a. What is Qd if P=5 ? b. What is P if Qs=20 ? β=9 c. If Qd=Qs, solve for P.
P = 90 is the solution for the given equation.
Given: Qd=95−4
PQs=5+P
To find Qd if P=5:
Put P = 5 in the equation
Qd=95−4P
Qd = 95 - 4 x 5
Qd = 75
So, Qd = 75.
To find P if Qs = 20:
Put Qs = 20 in the equation
Qs = 5 + PP
= Qs - 5P
= 20 - 5P
= 15
So, P = 15.
To solve Qd=Qs, substitute Qd and Qs with their respective values.
Qd = Qs
95 - 4P = 5 + P
Subtract P from both sides.
95 - 4P - P = 5
Add 4P to both sides.
95 - P = 5
Subtract 95 from both sides.
- P = - 90
Divide both sides by - 1.
P = 90
Thus, P = 90 is the solution for the given equation.
To know more about substitute visit
https://brainly.com/question/29383142
#SPJ11
Shelly and Terrence completed a different number of tasks in a game. Shelly earned 90 points on each task. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game:
90x − 20
What does the factor x of the first term of the expression represent? (2 points)
Group of answer choices
The total number of tasks Terrence completed
The total number of tasks Shelly completed
The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed
The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.
To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.
On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.
So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.
Therefore, the correct answer is: The total number of tasks Terrence completed.
for more such question on substituting visit
https://brainly.com/question/22340165
#SPJ8
Kaci earned scores of 78, 88, 87, and 91 on her first four science tests. Shehas one more test to take and wants to get an average score of 80 or more on hertests.The following is the inequality that represents this situation, where I is the score ofher fifth test(78+88+87+91+x)5> 80What is the minimum score Kaci can receive on her fifth test to have an averagescore of at least 80?
Given:
Kaci earned scores of 78, 88, 87, and 91 on her first four science tests.
She has one more test to take and wants to get an average score of 80 or more on her tests.
Let the score of the final test = x
So, the average of the scores will be equal to or greater than 80
So, we have the following inequality
\(\frac{78+88+87+91+x}{5}\ge80\)Solve for x:
\(\begin{gathered} \frac{78+88+87+91+x}{5}\ge80\rightarrow\times5 \\ 78+88+87+91+x\ge80\times5 \\ 344+x\ge400 \\ x\ge400-344 \\ x\ge56 \end{gathered}\)So, the minimum score will be 56
XY parallel to BC find angle P and angle Q
Answer:
P=77, Q=60
Step-by-step explanation:
Angle BCA is 180-137=43. BCA and YAC are opposite interior angles, which are congruent, so YAC is also 43.
To find P, you just take 60+P+43=180 (straight line). So, P should be 77.
You can figure out Q by using the total degrees in a triangle, 180. You have the other two angles now (43 and 77), so Q is 180-43-77=60. Incidentally, this is also the opposite interior angle of XAB, which is equivalent to Q at 60.
Differentiate the function
y=(5x² +7√x)/(4x)
y’=
Refer to the attached image.
please help me answer this question
Answer:
d
Step-by-step explanation:
because if you find out the original of the map then divide it it will become the scale of the original
Answer:
Answer is B 56,000
Step-by-step explanation:
I did the math, 280 divided by 7 is 40, 5 times 40 is 200 and 280 times 200 is 56,000.
Money and finances are considered "taboo" as topics of conversation. However, you have a friend who bragged about
having paid in over $5,500 to Social Security last year. Estimate how much money they earned!
The amount earned is $88,709.68
What is a social security tax?It is a payroll tax that is paid on wages earned by employees.
We have,
We will assume the current Social Security tax rate for employees as 6.2%.
Now,
The amount earned.
= 5,500 / 6.2%
= 5500 / 0.062
= $88,709.68
Thus,
The amount earned is $88,709.68
Learn more about social security tax here:
https://brainly.com/question/18268724
#SPJ1