Answer:
x=6
Step-by-step explanation:
2x=12 simplify and subtract
x=6
According to a poll, 80% of Americans report being afflicted by stress. Suppose a random sample of 1,200 Americans is selected. Complete parts (a) through (d) below.
a. What percentage of the sample would we expect to report being afflicted by stress?
The percentage of the sample selected at random that would be expected to be afflicted by stress would also be = 80%
How to calculate the percentage afflicted by stress?The percentage of a data set is when part of the data is represented per 100 with a symbol of %.
It was stated in the question that 80% of Americans report being afflicted by stress.
Therefore when a sample is randomly selected from an American population, the percentage that is expected to be afflicted by stress should also be 80%.
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7 less than the quotient of a number and 3 is 5. Find the number.
Answer:
The answer is 36
Step-by-step explanation:
Let the number be x
7 less than the quotient of a number and 3 is written as
\( \frac{x}{3} - 7\)The result is 5
So we have
\( \frac{x}{3} - 7 = 5\)Move - 7 to the right side of the equation
That's
\( \frac{x}{3} = 7 + 5\)\( \frac{x}{3} = 12\)Multiply both sides by 3 to make x stand alone
We have
\(3 \times \frac{x}{3} = 12 \times 3\)We have the final answer as
x = 36Hope this helps you
Carlos is interested in estimating the mean amount of time it takes players to complete a level of the game he's
designing. He recruits 7 players of varying skill levels and ages to play the level until they complete it (he's willing
to treat this as a random sample), and he times how long it takes each of them. They play separately from each
other, so Carlos is also willing to assume independence. Here are the data with summary statistics:
1
2
3
4
5
6
7
Player
Time (minutes)
48
46
40
34
49
40
37
Mean
T = 42 min
Standard deviation
8z = 5.7 min
Assume that all conditions for inference are met for this sample.
Which of the following is a 95% confidence interval for the mean time in minutes) it takes players to complete
this level?
Choose 1 answer:
1914
3 of 4 -
Answer:
42±5.3
Step-by-step explanation:
WILL MARK BRAINLIEST W 20 POINTS
What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 14 at increments of 1 on the x axis and numbers from 0 to 22 at increments of 2 on the y axis. Scatter plot shows ordered pairs 1, 4 and 2, 7 and 3, 9 and 4, 10 and 5, 10 and 6, 12 and 7, 14 and 8, 15 and 9, 16 and 10, 18 and 11, 20 and 12, 22. A line labeled A joins ordered pair 0, 2.5 and 12.5, 22. A line labeled B joins ordered pairs 0, 3.5 and 14, 16. A line labeled C joins ordered pairs 0, 3.5 and 14, 11. A line labeled D joins ordered pairs 0, 4 and 14, 5.5. Line A Line B Line C Line D
Answer:
huh i dont get it
Step-by-step explanation:
Use the average daily balance method to compute the finance charge on the credit card account
for the month of August (31 days). The starting balance from the previous month is $270. The
transactions on the account for the month are given in the table to the right. Assume an annual
interest rate of 19% on the account and that the billing date is August 1st.
aug 7th. payment of $70
aug. 10 purchase of $135
aug. 15 purchase of $20
aug. 29 purchase of $25
what is the finance charge for the month of August?
The finance charge for the month of August is $4.93.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
The starting balance from the previous month is $270.
The transactions on the account for the month are given in the table to the right.
Assume an annual interest rate of 19% on the account and that the billing date is August 1st.
After finding the balance outstanding each day, we sum it up.
And get the average as $305.4839
Now we find the average balance by dividing it by 31 days of the August month.
Average balance = $305.4839
Finance charge = $305.4839 x19 x 31/365 days
Finance charge = $4.929589
Finance charge = $4.93
Therefore, the Finance charge = $4.93.
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Tristen is packing lunch boxes for the school trip. Each lunch box consists of 1 sandwich, 1 fruit, and 1 drink. Tristen can choose from 3 types of sandwiches, 4 types of fruit, and 2 types of drinks. How many different lunch boxes can Tristen pack?
(question: is this a combination or a permutation?)
Answer:
2
Step-by-step explanation:
evaluate the expression
Stephen is combining all juice shown to make fruit punch. Does the expression (64+28+76)/6 make sense’s
Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.
To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.
The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:
Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).
Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.
Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.
If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.
In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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A model rocket is launched with an initial velocity of 250 ft per second. The height h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 250t.
How many seconds after the launch will the rocket be 600 ft above the ground? Round to the nearest hundredth of a second. (Enter your answers as a comma-separated list.)
9514 1404 393
Answer:
{2.96, 12.66}
Step-by-step explanation:
A graph shows the rocket will be 600 feet up after 2.96 seconds, and again at 12.66 seconds.
__
You can solve the equation h = 600 to find the times.
-16t^2 +250t = 600
-16(t^2 -15.625t) = 600
-16(t^2 -15.625t +7.8125²) = 600 -16(7.8125²)
-16(t -7.8125)² = -376.5625
t -7.8125 = √(376.5625/16) ≈ ±4.8513
t = 7.8125 ± 4.8513 ≈ {2.9612, 12.6638}
The rocket will be 600 ft above the ground 2.96 and 12.66 seconds after launch.
B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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Can someone help please
Answer:right scalene
Step-by-step explanation:
according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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Need help on this quickly! i have 2 more questions like this that i will post if it lets me.
Answer:
x=5 , y=12
Angle 3=140
Angle 4=100
I need help with this. Thanks!
Answer:
C & D
Step-by-step explanation:
A. p = 29
B. p= 29
C. p = 0
D. p = 0
E. p = 29
________
find the equation of the parabola with its focus at -5,0 and it's directrix y = 2
Recall that a parabola is a curve where any point is at an equal distance from the focus and the directrix, if (x,y) is a point on the parabola then:
\(\sqrt[]{(-5-x)^2+(y-0)^2}=2-y\text{.}\)Solving for y we get:
\(\begin{gathered} (-5-x)^2+y^2=(2-y)^2, \\ (x+5)^2+y^2=4-4y+y^2, \\ -4y=(x+5)^2-4, \\ y=-\frac{1}{4}(x+5)^2+\frac{4}{4}, \\ y=-\frac{1}{4}(x+5)^2+1. \end{gathered}\)Answer: Second option.
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box. The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches. Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches. Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
22×14x9= 2772 inches3
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.
What is volume?Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.
For the given dimensions of the bags we have:
1. The volume of the black bag is:
18 x 12 x 8 = 1728 cubic inches
2. The volume of the blue bag is:
18 x 15 x 10 = 2700 cubic inches
3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.
4. The ratio of bigger suitcase to smaller suitcase is:
75 x 20 x 18 = 27000 cubic inches
25 x 8 x 9 = 1800 cubic inches
27000 / 1800 = 27
The bigger suitcase is 27 times larger than the smaller suitcase.
5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:
720 = 10 x 9 x H
720 = 90H
H = 8 inches
The maximum amount of watermelons that can fit are:
27000 / 720 = 37.5 watermelons = 37 watermelons.
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The system when solved is.
Answer:
(-19, -7)
Step-by-step explanation:
y=x+12
x+12+x=-26
2x=-14
x=-7
y + x = -26
y -7 = -26
y = -19
What happens at equilibrium price and quanity? 1.The quantity supplied equals the quantity demanded.
2.The price demanded equals the price supplied.
3.The priced demanded equals the quantity supplied.
4.The quantity supplied equals the price demanded.
Answer:
Step-by-step explanation:
At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.
This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.
Need help with this question
9514 1404 393
Answer:
112 m²
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Here, we have four identical triangles. Their total area is ...
SA = 4A = 4(1/2)bh = 2bh
SA = 2(8 m)(7 m) = 112 m² . . . . pyramid surface area
Which is 63 x 64 in exponential form?
Answer:
7 or 6^7
Step-by-step explanation:
Can someone please evaluate the expression with X=3 with work shown? Please and thank you
hi
You will only progress by trying yourself.
so I do the first, you do the rest.
You have to remplace x by 3
so first expression is : x²-4x
by remplacing "x" by it's value (3) we have :
(3)² -4(3) = 9 -12 = -3
Have a try for the rest and ask in comment if you dont understand.
\(x^2-4x\)
2. Substitute x by the given value and calculate.\((3)^2-4(3)=\\ \\9-12=\\ \\-3\)
-------------------------------------------------------------------------------------------------------------------
Expression 2.1. Write the expression.\(3x^2\)
2. Substitute x by the given value and calculate.\(3(3)^2=\\ \\3(9)=\\ \\27.\)
-------------------------------------------------------------------------------------------------------------------
Expression 3.1. Write the expression.\(2x^3\)
2. Substitute x by the given value and calculate.\(2(3)^3=\\ \\2(27)=\\ \\54.\)
Mr Malone purchase five packages of notebooks for his class to use each packages contains six notebooks how many notebooks does Mr Malone purchase in total
Answer:
30
Step-by-step explanation:
5x6=30
change the mixed number to an improper fraction 6 11/7
PLEASE HELP Christine walks 0.5 miles around the lake in 10 minutes.
What is the unit rate of her speed in miles per minute?
Answer:
Her speed is 0.05 miles per minute
Step-by-step explanation:
The unit rate of her speed in miles per minute is given by the number of miles divided by the number of minutes. So:
0.5 miles in 10 minutes. So
0.5/10 = 0.05 miles per minute
Her speed is 0.05 miles per minute
At a party, each person shakes hands once with every other person at the party. How many handshakes will happen if there are: a) 4 people at the party? b) 5 people at the party? c) 11 people at the party?
Answer:
there will be 55 handshakes.
Step-by-step explanation:
If there are n people at a party and each person shakes hands once with every other person, we can count the number of handshakes by adding up the number of handshakes each person has.
For example, the first person shakes hands with n-1 other people, the second person shakes hands with n-2 other people (since they already shook hands with the first person), and so on. The last person does not need to shake hands with themselves, so they shake hands with n-1 other people.
Therefore, the total number of handshakes is given by the formula:
(n-1) + (n-2) + ... + 2 + 1 = (n*(n-1))/2
a) If there are 4 people at the party, the total number of handshakes is:
(4*(4-1))/2 = 6
So there will be 6 handshakes.
b) If there are 5 people at the party, the total number of handshakes is:
(5*(5-1))/2 = 10
So there will be 10 handshakes.
c) If there are 11 people at the party, the total number of handshakes is:
(11*(11-1))/2 = 55
So there will be 55 handshakes.
Answer:
a) Six handshakes
b) Ten handshakes
c) 55 handshakes
Step-by-step explanation:
With every "set" of handshakes by a person, it decreases by one. Im pretty sure you cant handshake with yourself xD, so that's why it decreases by one every time. For example with 4 people at the party, the first person shakes the other people's hands, which is three, and which is also 4-1 which equals 3. Then with the second person in line at the same party, shakes the other people's hands, but not the first person in line cause they already had a handshake, which is two, and which is also 3-1 which equals 2. And u know how it goes. Until it gets to the last person in line, they can't have a handshake with themself so the number ends. Then you add all those numbers together and you have the answer.
If u dont really understand what i just said then you can draw the diagram yourself and you'll see
Your grandmother will be giving you $10,000 every year for the next five years, the first payment beginning at the end of the first year
A) If you invest these receivables in a bank at 6%, what is the total value at the end of 10 years if you make withdrawals of $3,000 in years 9 and 10?
B) An investor expects to receive $3,000 in year 2, $5,000 in year 5, and $7,000 in year 7. What is the present value of these payments if the interest rate is 8%?
Please also write the Excel formulas.
Answer:
a. The present value of these receivables is $42,123.64
b. The total value at the end of 10 years is $69,257.02
c. The present value of these payments is $10,059.37
Step-by-step explanation:
49 / 80 Marks
Grade For This Paper
U
1
64 / 160 Marks
Grade For This Exam Series
U 1
2
3
5
Number of students
10
Theatre
8
7
Sally is planning a trip for 225 students.
Place
She asks a sample of 30 students where
Theme Park
they want to go.
Each student chooses one place.
The table shows information about
Sports Centre
her results.
(i) Work out how many of the 225 students
you think will want to go to the Theme Park.
Seaside
5
5
(2)
Mail has new messages
0 (0) ENG
08:27
04/02/2021
(ii) Which of the following statements will make your
Type here to search
120
Answer:
What is this...?
Step-by-step explanation:
I will give brainiest!
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
What is the result of performing these steps?
1. Draw a line segment with endpoints A and B.
2. Draw point Canywhere on AB.
3. Fold the paper through C so AB lies on top of itself.
4. Draw a line segment from Cto any point along the fold.
A. A line segment perpendicular to AB
B. A bisected angle
C. A line segment parallel to AB
D. The perpendicular bisector of AB
-
Answer:
A. A line segment perpendicular to AB