At Barbras Books, each customer that spends at least $10 gets to draw a coupon from a bag that contains $1 coupons and $5 coupons. After the coupon is drawn, the savings is applied to the customer's purchase, and then the coupon is replaced in the bag.
The number of $1 coupons and $5 coupons drawn Monday through Friday last week is recorded in the double bar graph below.
Based on the information in the graph, what is the experimental probability that a $5 coupon is the next coupon drawn?
A. 97/167
B. 70/167
C. 95/167
D. 72/167
Answers
The experimental probability of drawing a $5 coupon is:95/167
EquationsTo find the experimental probability of drawing a $5 coupon, we need to find the total number of coupons drawn and the number of $5 coupons drawn. Looking at the graph, we can see that a total of 167 coupons were drawn (60 + 43 + 28 + 25 + 11 = 167). The number of $5 coupons drawn is 95. Therefore, the experimental probability of drawing a $5 coupon is:
95/167
What is frequency distribution in probabilty?In probability, a frequency distribution is a table that shows how often each possible outcome or event occurs in a set of data. It is a way of summarizing and organizing the data to provide insights into the underlying probabilities of various events.
To create a frequency distribution in probability, we first need to define the set of possible outcomes or events. Then, we collect data by observing or conducting experiments to determine how often each event occurs. Finally, we organize the data into a table or chart that shows the frequency of each event.
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Related Questions
Ezra applied the distributive property to the expression 8(y+2) . He then used the commutative property.
correctly complete the statement
After applying the distributive property, Ezra's expression was ________
After he used the commutative property, his expression was __________
answers: 2+8y, 8y+2, 8y+16, 16+8y, 8y + 1 x 2, 8y + 1 x 16
Answers
Answer:
After applying the distributive property, Ezra's expression was 8y + 16
After he used the commutative property, his expression was 16 + 8y
Step-by-step explanation:
Distributive property rule: a(x+y) = ax + ay
Not much to explain here
Commutative property rule: a + b = b + a or xy = yx
We use addition rule in this case, simply place 16 in front of 8y
I need help asap. Mathematics
Answers
The perimeter and area of the shape are 26 units and 21 units²
What is area and perimeter of shape?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
Perimeter is a math concept that measures the total length around the outside of a shape.
Find the length of the polygon
x = √3² +2²
x = √ 9+4
x = √13
= 7.2 units
y = √ 3² + 5²
y = √9+25
y = √34
y = 5.8 units
Perimeter = 2(x+y)
= 2( 7.2 + 5.8)
= 2 × 13
= 26 units
Area of triangle 1 = 1/2 × 6 × 2
= 6units²
Area of triangle 2 = 1/2 × 6 × 5
= 15 units
area of the polygon = 15 +6 = 21 units²
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another question
5x + 8 = 7x + 2
Answers
Answer: x=3
Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.
The beginning balance of the check register was $492.88. During the month, deposits were made for $210 and $499.88. Checks were
written for $18.25, $19.82, and $309.82. What is the ending balance of the check register?
Note: Round your answer to 2 decimal places.
Answers
Answer:
$840.77
Step-by-step explanation:
What is the rental cost? Step by step.
Answers
The rental cost in dollars per square foot is $11,00
What is the rental cost in dollars per square foot?Cost of renting 1.250 square feet = $13, 750 per month
Rental cost per square foot = Total renting cost / total renting area
= $13, 750 per month / 1.250 square feet
= $11,000
Hence, $11,000 is the rental cost in dollars per square foot.
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Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
Answers
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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Please awnser asap I will brainlist
Answers
Answer:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Step-by-step explanation:
Set up the variables: Let V represent the number of vans, S represent the number of small trucks, and L represent the number of large trucks.
Write the equations:
V + S + L = 310 (total number of vehicles)
V = 2S (twice as many vans as small trucks)
35,000V + 70,000S + 60,000L = 15,000,000 (total cost of the vehicles)
Substitute equation 2) into equation 1):
2S + S + L = 310
3S + L = 310
Simplify equation 3) by substituting V = 2S:
70,000S + 70,000S + 60,000L = 15,000,000
140,000S + 60,000L = 15,000,000
Set up a system of equations:
3S + L = 310
140,000S + 60,000L = 15,000,000
Eliminate L by multiplying equation 1) by 60,000:
60,000(3S + L) = 60,000(310)
180,000S + 60,000L = 18,600,000
Subtract equation 2) from the new equation:
(180,000S + 60,000L) - (140,000S + 60,000L) = 18,600,000 - 15,000,000
40,000S = 3,600,000
Solve for S:
S = 90
Substitute the value of S into equation 1) to solve for L:
3(90) + L = 310
270 + L = 310
L = 40
Substitute the values of S and L into equation 2) to solve for V:
V = 2S
V = 2(90)
V = 180
The final answer is:
V = 180 (vans)
S = 90 (small trucks)
L = 40 (large trucks)
Answer:
180 Vans 90 Small trucks and 40 Large trucks
Step-by-step explanation:
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
Answers
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
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why is the answer to this question?
Answers
Answer:
what question ⁉️
Step-by-step explanation:
bye IG
bye have a great day
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
Answers
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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The user manual for Layla's phone notes that the device can be damaged
when operated at temperatures below -20°C and above 45°C. Layla wants to
know what these ranges are in degrees Fahrenheit and writes these
inequalities to rewrite the relationship where F is degrees Fahrenheit.
(F32) < -20 or (F32) > 45
Which statement best describes the temperature ranges Layla should avoid
while using her phone?
OA. Layla should avoid using her phone in temperatures below 21°F
and above 57°F.
OB. Layla should avoid using her phone in temperatures above -4°F
and below 113°F.
OC. Layla should avoid using her phone in temperatures below -4°F
and above 113*F.
OD. Layla should avoid using her phone in temperatures above 21°F
and below 57°F.
Answers
In temperatures between -4°F and 113°F, Layla should refrain from using her phone.
Which of the following best sums up the temperature ranges Layla ought to stay away from when using her phone? In temperatures between -4°F and 113°F, Layla should refrain from using her phone.Maintaining your smartphone's working temperature between 0° and 35° C (32° to 95° F).The device may behave differently at lower or higher temperatures.(-4° to 113° F) for storage between -20° and 45°When temperatures exceed specified thresholds, stay out of parked cars and out of the sun.The recommended temperature range for users' devices is between -4 and 113 degrees Fahrenheit, according to their manufacturers.If you go lower, the phone might freeze; if you go higher, you run the risk of lasting harm.Most smartphones are built to operate between 32 and 95 degrees Fahrenheit.Apple Watches fall within this temperature range as well.To learn more about temperatures refer
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write and solve an inequality to find the possible values of x
Answers
The inequality that represents the value of x is (b) x > 80
Writing and solving the inequality for xfrom the question, we have the following parameters that can be used in our computation:
The figure
The general rule is that
The larger the side length, the larger the angle opposite it
using the above as a guide, we have the following:
1/8x > 10
So, we have
x > 80
Hence, the inequality is x > 80
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An interior designer wants to decorate a newly constructed house. The function f (x) = 49x2 – 200 represents the amount of money he earns per room decorated, where x represents the number of rooms he designs. The function g of x equals one seventh times x represents the number of rooms the interior designer decorates, where x is the number of hours he works.
Part A: Determine the amount of money the interior designer will make decorating the house as a function of hours he works. (5 points)
Part B: If the newly constructed house requires 50 hours of work, how much will the interior designer earn? Show all necessary calculations. (5 points)
Part C: Determine an expression to represent the difference quotient for the function found in Part A. Show all necessary work. (5 points)
Answers
A. x² - 200 gives the amount of money the interior designer will make decorating the house as a function of hours he works.
B. He will earn 1,875 if he works for 50 hours.
C. The difference quotient is equal to 2x.
The solution has been obtained by using functions.
What is a function?
Function is a kind of relation, or rule, that associates a single input with a single, predetermined output.
We are given two functions
f(x) = 49x² – 200
which represents the amount of money he earns per room decorated
g(x) = (1/7)x
which represents the number of rooms the interior designer decorates
A. The amount of money the interior designer will make decorating the house as a function of hours he works will be given by evaluating f(x) in g(x).
So,
f(g(x)) = 49((1/7)x)² – 200
f(g(x)) = x² - 200
B. Since, the house requires 50 hours of work, this means that x = 50.
Substituting this in f(g(x)) = x² - 200, we get
f(g(50)) = 50² - 200
f(g(50)) = 1,875
C. The difference quotient for the function is as follows
\(\lim_{h \to \ 0}\frac{f(x+h) -f(x)}{h}\)
\(\lim_{h \to \ 0}\frac{(x+h)^{2}-200-x^{2}+200}{h}\)
\(\lim_{h \to \ 0}\frac{x^{2} + 2xh + h^{2}-x^{2}}{h}\)
= 2x
Hence, x² - 200 gives the amount of money and he earns 1,875 if he works for 50 hours. The difference quotient is equal to 2x.
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These shapes are similar.
Find X.
5
5
30
24
30
Answers
Answer: 4
Step-by-step explanation:
Part 1 of 2
The length of a rectangular photograph is 9 in more than the width. If the area is 70 in², what are the dimensions of the photograph?
18
Answers
The dimensions of the photograph are the length= 14 in and the width= 5 in.
RectanglesThe rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).
The area of a rectangle is given by the multiplication between the base and the height.
The question gives:
length (base) = 9 + wwidth (height) = warea = 70 in²Thenm
A= b * h
70 = (9 +w) * w
70= 9w +w²
w²+9w-70=0
\(w_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \left(-70\right)}}{2\cdot \:1}\\ \\ w_{1,\:2}=\frac{-9\pm \:19}{2\cdot \:1}\)
Thus, \(w_{1}=\frac{-9-\:19}{2\cdot \:1}=\frac{-28}{2}=-14\) and \(w_{2}=\frac{-9+\:19}{2\cdot \:1}=\frac{10}{2}=5\)
The dimensions should have positive values, then w=5.
If w=5, the length will be 5+9 = 14. With these dimensions, the area will be 14 * 5 = 70.
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Based on the graph, if Joe earned $400, how many hours did he work?
Answers
Hello! Please help thanks
Answers
Answer:
A. \(\frac{5}{13}\)
Step-by-step explanation:
Hi there!
We are given right triangle PQR, with PR=5, RQ=12, and PQ=13
We want to find the value of sin(Q)
Let's first recall that sine is \(\frac{opposite}{hypotenuse}\)
In reference to angle Q, PR is the opposite side, RQ is the adjacent side, and PQ is the hypotenuse
So that means that sin(Q) would be \(\frac{PR}{PQ}\)
Substituting the values of PR and PQ gives sin(Q) as \(\frac{5}{13}\), which is A
Hope this helps!
87 ÷ 17 + [672 - 83] another one
Answers
Answer:
594.1
Step-by-step explanation:
87÷15=5.1
672-83=589
so then you add those to together and get 594.1
consider the following graphs of linear equations. which line has a positive slope?
Answers
Answer:
line m i think
Step-by-step explanation:
Ryan feeds his chicken 1/ 3 cups of grain per day. The grain container has 6 cups of grain left. For how many days can Ryan feed the chicken?
Answers
Answer:
18 days
Step-by-step explanation:
1 cups=3 days
2 cups=6 days
3 cups=9 days
4 cups=12 days
5 cups=15 days
6 cups=18 days
7(-9a-3)-2a please help
Answers
Answer:
-65a -21 "that is the simplified version"
Answer:
-65a - 21
Step-by-step explanation:
7 ( -9a - 3 ) -2a
Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,
7 ( -9a - 3 ) - 2a
-63a - 21 - 2a
Simplify
-65a - 21
Find the quotient: 8 ÷ 0.5 tou done the quotient by ask jow many are in 8
Answers
Step-by-step explanation:
8 ÷ 0.5 = 16
Quotient = 16
PLEASE HELP NOW
HURRY
Answers
Answer:
13
Step-by-step explanation:
we us the pythagorean theorem
sqrt( 144 + 25) = 13
Please help !!!!!! 20 points
Answers
The value of x in the polygon will be 13.25 degrees.
The value of x is 10.
We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.
How to calculate the valueThe sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.
Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees
Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:
Measure of one angle = 3960/24 = 165 degrees
165 = 12x + 6
159 = 12x
x = 13.25
Therefore, the value of x is 13.25 degrees.
Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.
Therefore, we have:
731x+86° = 7380°
Solving for x, we get:
731x = 7294°
x = 10
Therefore, the value of x is 10.
The equation that can be used to find the value of x is:
(9x+48)° + (15x-24)° = (n-2)*180°
24x + 24 = (n-2)*180°
Dividing both sides by 24, we get:
x + 1 = (n-2)*15°
Subtracting 1 from both sides, we get:
x = (n-2)*15° - 1
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ASAP PLZ I'LL MARK BRAINLIEST
What is 8/9 ÷ 2/3?
Answers
Answer:
4/3
Step-by-step explanation:
Your Welcome
help I don't understand
Answers
With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
What is triangle similarity?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.
One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.
So, in the given situation:
TR and WY are as follows:
TR/WU
24/2
2/1
Similarly,
TS/WV
2/1
7/x
7/3.5
Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
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How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
Answers
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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QUICK PLEASE HELP
I WILL MARK BRAINLIEST!!!
Answers
Answer:
Its D.
Step-by-step explanation:
Hope this helped!
Answer:
B
Step-by-step explanation:
\(1)\ A = \pi (\frac{D}{2})^2 = \pi (\frac{6}{2})^2 = \pi 3^2 = 9 \pi\)
\(2)\ V = A * h = 9 \pi * 12 = 108 \pi\)
Which description is paired with its correct expression?
four less than the quotient of a number cubed and seven, increased by three; 4-2+3
five times the difference of a number squared and six; 5(6-n²)
nine more than the quotient of six and a number cubed, decreased by four; 8+²-4
9+
O twice the difference of nine and a number squared; 2(9-n²)
Answers
The correct pairings are:
a) Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
b) Five times the difference of a number squared and six: 5(n² - 6)
c) Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
d) O twice the difference of nine and a number squared: 2(9 - n²)
The correct pairings of descriptions and expressions are as follows:
Four less than the quotient of a number cubed and seven, increased by three: (n³/7) - 4 + 3
This expression represents taking a number, cubing it, dividing the result by seven, subtracting four, and then adding three.
Five times the difference of a number squared and six: 5(n² - 6)
This expression represents taking a number, squaring it, subtracting six, and then multiplying the result by five.
Nine more than the quotient of six and a number cubed, decreased by four: (6/n³) + 9 - 4
This expression represents taking the cube of a number, dividing six by the cube, adding nine, and then subtracting four.
O twice the difference of nine and a number squared: 2(9 - n²)
This expression represents taking a number, squaring it, subtracting it from nine, and then multiplying the result by two.
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Evaluate the expression. 7^14/7^15 Evaluate the expression . 714 715
Answers
Answer:
1/7
Step-by-step explanation:
Alternative Form: 0.142857, 7^-1