In order to determine the price of each pair, just calculate the quotient in between the total price and the number of dozen works, which were 5:
73.80/5 = 14.76
Hence, each pair of dozen work costed $14.76
QUESTION Calculate the cardinal number of the set Q containing all digits that make up the number = 2,309,585,628.
The cardinal number of a set can be said to be the number of distinct elements in a finite set.
Here, we have the number: 2,309,585,628.
We have the following elements:
2
3
0
9
5
8
6
Some elements occured twice here, no element is to be counted twice.
Thus,
Set Q = {2, 3, 0, 9, 5, 8, 5, 6, 2, 8}
The set Q has 7 elements
The cardinal number of set Q is 7
ANSWER:
n(Q) = 7
A diagram of a basketball court uses the scale of 1 inch: 4 feet. If the length of the diagram is 16 inches, what’s the length of the actual basketball court? Show your work
Since the scale factor is 1in:4ft, we get that 1 inch in the diagram represents 4 feet in the actual basketball court.
Therefore:
[tex]16in=16\cdot1in\rightarrow16\cdot4ft=64ft.[/tex]Then, the fulfilled table is:
Therefore, the length of the actual basketball court is 64ft.
Answer:
Therefore, the length of the actual basketball court is 64ft.
Find the value of each variable in the parallelogram.lg + 4) 7.16- h65°g=h=
h = 9
g = 61°
Explanation:The opposite sides of a parallelogram are parallel and congruent.
This means the opposite sides are equal
equating the sides:
7 = 16 - h
subtract 16 from both sides:
7 - 16 = - h
-9 = -h
divide both sides by -1
-9/-1 = -h/-1
h = 9
The opposite angles of a parallelogram are equal
equating the angles:
(g + 4)° = 65°
g + 4 = 65
subtract 4 from both sides:
g + 4 -4 = 65 -4
g = 61°
Find the exact length of the third side. 6 2
We can draw the triangle for clarification:
We can use the pythagoras theorem:
[tex]\begin{gathered} c^2=a^2+b^2 \\ b^2=c^2-a^2 \\ b=\sqrt[]{c^2-a^2}=\sqrt[]{6^2-2^2}=\sqrt[]{36-4} \\ b=\sqrt[]{32}=\sqrt[]{16\cdot2}=\sqrt[]{16}\cdot\sqrt[]{2} \\ b=4\cdot\sqrt[]{2} \end{gathered}[/tex]The exact length of the third side is:
[tex]4\cdot\sqrt[]{2}[/tex]In 1994, an outbreak of illness due to ice cream contaminated with the bacteria salmonella occurred in the United States. The outbreak affected an estimated 224,000 people.If the total population in the U.S. at that time was 260,000,000, which is the best estimate for the percentage of people who were affected?About 0.1%About 1%About 5%About 10%About 25%Complete the following statement: Approximately 86 out of every people in the United States were affected by the 1994 salmonella outbreak.
Given:
Population affected = 224,000
Total population = 260,000,000
To find the percentage, we use the formula:
[tex]\%=\frac{portion}{total}\times100[/tex]Replacing information given, on the formula:
[tex]\%=\frac{224000}{260000000}\times100=0.086\%[/tex]ANSWER: About 0.1%
3.8 decimals in words
The given figure is 3.8
3 is a whole number
The position of 8 is called the tenths position
Thus, in words, the decimal is
three and eight tenths
Please help, due in 3 minutes Skylar still owes $550 oh her cresit card from the previous month. Her annual interest rate is 18%. Approximately how much should the interest charges Be when she gets the bill
Answer:
$8.25
Explanation:
If she gets the bill each month, we need to calculate the monthly interest rate as follows
18%/12 = 1.5%
Because 18% is the annual rate and a year has 12 months.
Then, the interest charge will be 1.5% of the amount, so
$550 x 1.5% = $550 x 1.5 / 100 = $8.25
Therefore, the interest will be $8.25
Which angle forms a linear pair with
A linear pair angle must add up to 180 degrees. The angle that form a linear pair with angle MON is expressed below
[tex]\begin{gathered} \angle MON+\angle QOM=180\text{ degre}es \\ \text{therefore} \\ \angle MON\text{ and }\angle QOM\text{ are linear pair} \end{gathered}[/tex]Please help me on this problem (below the last line is this ( =____ ) couldn’t fit it into the photo)
The slope of a line is calculated with the following formula
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}[/tex]From our exercise we have the following 2 points
[tex]\begin{gathered} (1,6)\to(x_1,y_1_{}_{}) \\ (2,3)\to(x_2,y_2) \end{gathered}[/tex][tex]slope=\frac{3_{}-6_{}}{2-1_{}}[/tex][tex]\begin{gathered} slope=\frac{-3_{}}{1_{}} \\ slope=-3_{} \end{gathered}[/tex]Muhammed has money to invest in one of two accounts.Account 1 requires a $2,000 investment for 4 years. It earns 3% interest compounded monthly.Account 2 requires a $2,200 investment for 2 years. It earns 5% interest compounded daily.Which account will earn more interest for Muhammed, and how much?Select the answer that is completely correct.Account 2 earns $232.39 more than Account 1.Account 1 earns $23.30 more than Account 2.Account 1 earns $18.87 more than Account 2.Account 2 earns $176.70 more than Account 1
Given:
Account 1:
Principal, P = $2000
Time, t = 4 years
Rate, r = 3% = 0.03
number of times compounded, n = monthly = 12 months/year
Account 2:
Principal, P = $2200
Time, t = 2 years
Rate, r = 5% = 0.05
number of times compounded, n = daily = 365 days/year
Let's determine the account which will earn more interest.
Apply the compound interest formula:
[tex]I=(P(1+\frac{r}{n})^{nt})-P[/tex]Where:
P is the Principal
r is the interest rate
n is the number of times the ineterest is compounded per unit time'
t is the time in years
Now, let's find the interest earned in each account.
• ACCOUNT 1:
[tex]\begin{gathered} I=(2000(1+\frac{0.03}{12})^{12\times4})-2000 \\ \\ I=(2000(1+0.0025)^{48})-2000 \\ \\ I=(2000(1.0025)^{48})-2000 \\ \\ I=2254.66-2000 \\ \\ I=254.66 \end{gathered}[/tex]
The interest earned in account 1 is $254.66
• ACCOUNT 2:
[tex]\begin{gathered} I=(2200(1+\frac{0.05}{365})^{730})-2200 \\ \\ I=(2200(1+0.00013698)^{730})-2200 \\ \\ I=2431.36-2200 \\ \\ I=231.36 \end{gathered}[/tex]
The interest earned in account 2 is $231.36
We can see the interest earned in account 1 is greater than the interest earned in account 2.
To find the difference, we have:
$254.66 - $231.36 = $23.30
Therefore, Account 1 earns $23.30 more than Account 2.
ANSWER:
Account 1 earns $23.30 more than Account 2.
8 students were in the cafeteriaThey increased to 12 students. What is percent of change?
Percentage of change = 50%
Explanation:Old number of students in the cafeteria= 8
New number of students in the cafeteria= 12
percentage of change = (New - old)/old × 100
percentage of change = (12 - 8)/8 × 100
= 4/8 × 100
= 1/2 × 100
Percentage of change = 50%
answer (2 + 2) - 4 + 2
start by solving whats inside the parentheses
[tex]4-4+2[/tex]solve the addition
[tex]\begin{gathered} 0+2 \\ 2 \end{gathered}[/tex]N62.1 2 3 4 5The box plot displays the data on the response times of 100 mice to seeing a flash of light. Howmany mice are represented by the rectangle between 0.5 and 1 second?0.20.30.411.11.20.5 0.6 0.7 0.8 0.9response time in seconds
The box plot shows all four quartiles of the data set. Each quartile represents 25 percent of the observed data.
Note that the rectangle between 0.5 and 1 second represents the 2nd and 3rd quartiles. That means, the 2nd 25 percent and the tird 25 percent of the mice population in this experiment.
Therefore, the rectangle represents 50 percent of 100 mice, that is 50 mice.
For a given set of rectangles, the length varies inversely with the width. In one ofthese rectangles, the length is 77 and the width is 2. For this set of rectangles,calculate the width of a rectangle whose length is 14.
Ok, so
Let L represent length of rectangle and W represent width of the rectangle.
We have been given that for a given set of rectangles, the length varies inversely with the width.
We know that the equation:
y = k/x
represents the relation where y is inversely proportional to x and k is the constant of proportionality.
So our required equation would be:
L = k/W.
In this case, we know that L = 77 and W = 2, so we're going to find k:
77 = k / 2
And k = 77*2, which is equal to 154.
Now, we know that k = 154, so our general equation would be:
L = 154/W
Finally, we replace the value of our lenght, which is 14.
14 = 154 / W
And W = 154/14
W=11
Therefore, the width of a rectangle whose length is 14, will be 11
I dont understand the thing with the parallel lines and the perpendicular
Given;
[tex]\begin{gathered} \bar{AD}\perp\bar{DB} \\ \bar{DB}\perp\bar{BC} \\ \bar{AB}\cong\bar{CD} \end{gathered}[/tex]Line AD is perpendicular to line DB, line DB is perpendicular to line BC and line AB is congruent to line CD.
To prove that line AB is perpendicular to line DC, we have to establish that the alternate angles ABD and BDC are congruent.
[tex]\angle ABD\cong\angle BDC[/tex]From congruent triangles, we know that when two triangles have two congruent sides (Hypothenuse and a side) and both have a right angle then they are congruent (RHS - Right angle Hypothenuse Side).
For Triangle ADB and triangle CBD,
The sides AD and CB are congruent, and also side DB is congruent to BD.
[tex]\begin{gathered} \bar{AB}\cong\bar{CD}\text{ ----Hypothenuse} \\ \bar{DB}\cong\bar{BD}\text{ -----side} \\ \angle ADB\cong\angle CBD\cong90^{0\text{ }}-----Right\text{ angle} \end{gathered}[/tex]Therefore, triangle ADB and triangle CBD are congruent.
So, corresponding sides and angles of the two congruent triangles are also congruent.
[tex]\begin{gathered} \bar{AD}\cong\bar{BC} \\ \angle ABD\cong\angle BDC \end{gathered}[/tex]Therefore, since the alternate angles ABD and BDC then line AB is parallel to DC.
[tex]\bar{AB}\parallel\bar{DC}[/tex]Reason: Alternate interior angles.
If two lines are cut by a transversal and the alternate interior angles are equal (or congruent), then the two lines are parallel.
I've tried similar questions to this I still don't understand it also I'm not entirely sure if the top piece is correct
One way to make sure that the regression you made is by replacing one of the values of c, from your table and see if the predicted value that your regression gives you is close to the actual value from your table.
In this case, when we replace the first value of c (11.5) into the equation that you got from the regression, we can see that the value of p equals 13.73, which is actually close to the value reported in the table (13.8), since it is a regression it is not expected to obtain the exact value but the closest one.
If we want to find how many murders per 100000 residents we could have when c equals 8400, we just have to use the formula that you found (the regression) and calculate p, the result would be:
[tex]p=0.829\times8400+4.199=6967.799[/tex]If we want to know the number of weapons, we just have to solve for c from the equation of the regression and replace the number of murders per 100000 residents, like this:
[tex]\begin{gathered} p=0.829\times c+4.199 \\ p-4.199=0.829\times c \\ \frac{p-4.199}{0.829}=c \\ c=\frac{p-4.199}{0.829} \end{gathered}[/tex]Now, we can calculate the value of c, by replacing 9.5 into p
[tex]c=\frac{9.5-4.199}{0.829}=6.39[/tex]then c=6, since we have to round it to the nearest whole number
Simplify this expression x^-12 x x^2. Assume that x is nonzero.
Answer:
x^-9
x^-12+x+x^3=x^-9
I don’t know wether it is a independent or dependent variable.
To determine whether they are dependent or independent events:
1. According to the problem, Event 1 is a selection of a tile J out of 26 and the Event 2 is a selection of v in the remaining 25 tiles.
Event 1 affects event 2.
So, these are dependent events.
2. Similar to the first question, event 1 affects event 2. Because event 2 is depending on the first event.
So, these are dependent events.
3. According to the problem, event 1 does not affect event 2.
So, these are independent events.
4. According to the problem, she selects one trading card and then she returns the card back. After this, she selects the other card. So, event 1 does not affect event 2.
So, these are independent events.
5. Similarly to the fourth question, event 1 does not affect event 2 because of the dropped back of balls.
So, these are independent events.
Hello, I'm unsure about the process of this equation, please help me.
Answer:
144 employees
Explanation:
• The ratio of men to women = 3:5
,• The number of men in the company = 54.
Let the total number of employees = x.
The proportion of men in the company will be:
[tex]\frac{3}{3+5}=\frac{3}{8}[/tex]Since there are 54 men in the company, we can then say that:
[tex]\begin{gathered} \frac{3}{8}\text{ of x}=54 \\ \implies\frac{3}{8}x=54 \end{gathered}[/tex]Multiply both sides by 8/3 to solve for x.
[tex]\begin{gathered} \frac{8}{3}\times\frac{3}{8}x=\frac{8}{3}\times54 \\ x=144 \end{gathered}[/tex]The total number of employees is 144.
Felipe states that he can use the
inequality 1 ≤ x ≤ 4 to describe the domain
{1, 2, 3, 4} for a given function. Explain Felipe's
error.
For the inequality 1 ≤ x ≤ 4 given by Felipe the domain of the function is stated as {1,2,3,4} which shows the error of x belongs to which set of numbers is not specified.
As given in the question,
Given inequality is equal to :
1 ≤ x ≤ 4
Domain of the given inequality function is given by :
x belongs to all real numbers as it is not specified which set of numbers x belongs.
Consider x as set of real numbers
Given domain is {1,2,3,4}
Error is Felipe needs to specify x must belongs to integers or natural numbers then only domain is {1,2,3,4} for the given inequality else there are infinite many numbers between 1 to 4.
Therefore, for the inequality 1 ≤ x ≤ 4 given by Felipe the domain of the function is stated as {1,2,3,4} which shows the error of x belongs to which set of numbers is not specified.
Learn more about inequality here
brainly.com/question/28823603
#SPJ1
Simplify the expression below (w^0*x^{-3})^{-2} The base is AnswerThe exponent is Answer
given expression,
[tex](w^0\ast x^{-3})^{-2}[/tex]let us simplify,
[tex]\begin{gathered} (w^0\ast x^{-3})^{-2} \\ =\frac{1}{(w^0\ast x^{-3})^2} \\ =\frac{1}{w^0}\ast\frac{1}{(x^{-3})^2} \\ =1\ast\frac{1}{x^{-6}} \\ =\frac{1}{\frac{1}{x^6}} \\ =x^6 \end{gathered}[/tex]the base is x.
the exponent is 6.
72.200-2.803 rounded to the nearest whole number. It would be 69.397 But I need help rounding the answer..
Given the expression:
72.200 - 2.803
Let's perform the subtraction.
To perform the subtraction, we have:
Solving further:
Therefore, the answer is:
69.397
To round the answer to the nearest whole number, check if the number after the decimal is less than 5.
If the number is less then 5, then we are to write the answer without the decimal.
If the number is greater or equal to 5, we are to add 1 to the whole number and write without the decimal.
Here, the number after the decimal is 3 which is less than 5.
Therefore, the answer rounded to the nearest whole number is 69.
ANSWER:
69
In distributive property; 6(30+4)
Given ABC below, with m C = 115°, a = 6, and b = 8, find the area of the triangle. Round your answer to the nearest tenth and do not include units in your answer.
ANSWER
Area = 21.8
EXPLANATION
Looking at the given triangle closely, you will notice it's a Non-Right Triangle.
Now, to find the area of Non-Right Triangle, we make use of the formula below:
[tex]\text{Area = }\frac{1}{2}ab\text{ sin C}[/tex]From the question,
Give the domain of the function represents in the table x: 3,-2,1 y:2,-8,-2
We have the following table:
The domain of a function is the set into which all of the input of the function is constrained to fall. In other words, its the set of departure:
where f is the function.
Therefore, the domain is the set {3,-2,1}.
Will anyone help me with this question
The rectangle is divided by 5
The red part represents 2/5
The blue part represents 1/5
The sum 2/5+1/5=3/5, where the result is given by the 3 rectangles colored
Two sprinters, Nick and Ryan, want to find out who has the faster time when compared to each of their teams. Nick has a time of 10.8 seconds, and his team has a mean time of 11.4 seconds and a standard deviation of 0.4 seconds. Ryan has a time of 11.2 seconds, and his team has a mean of 11.5 seconds and a standard deviation of 0.1 seconds. Who has the faster time when compared to each of their teams?a) Nick b) Ryan c) The times are equal when compared to each of their teams.d) There is not enough information
Given data:
The time taken by Nick is 10.8 seconds.
The mean time taken by Nick is 11.4 seconds.
The given standard deviation of Nick is 0.4 seconds.
The time taken by Ryan is 11.2 seconds.
The mean time taken by Ryan is 11.5 seconds.
The given standard deviation of Ryan is 0.1 seconds.
The z-score of Nick is,
[tex]\begin{gathered} z=\frac{10.8-11.4}{0.4} \\ =\text{ -1.5} \end{gathered}[/tex]The z-score of Ryan is,
[tex]\begin{gathered} z=\frac{11.2-11.5}{0.1} \\ =\text{ -3} \end{gathered}[/tex]Thus, Ryan z-score is lower, so Ryan has the faster time when compared to each of their teams, option (b) is correct.
Label each situation with either a POSITIVE slope or a NEGATIVE slope :1) Earnings money each week =2) Withdraw money each month =3) Depositing your paycheck =4) A plane landing =5) The number of students is decreasing each year =6) A plane taking off =
Given in the question:
1) Earnings money each week = Earning is an addition to one's money, thus, we can say that this situation is a POSITIVE Slope.
2) Withdraw money each month = Widthrawing is a deduction to one's money, thus, we can say that this is a NEGATIVE Slope.
3) Depositing your paycheck = Depositing is adding money to your account, thus, we can say that this situation is a POSITIVE Slope.
4) A plane landing = A plane landing has its speed slowly decreasing until its speed gone to zero, thus, we can say NEGATIVE Slope.
5) The number of students is decreasing each year = A decreasing number of students is a deduction to the population of students, thus, we can say that this is a NEGATIVE Slope.
6) A plane taking off = A plane taking off has its speed accelerating, thus, we can say that this situation is a POSITIVE Slope.
Identify the range of the function shown in the graph?
Answer:
C
Step-by-step explanation:
The range is the lowest and highest y point on the graph, -1 and 1
Calculate the speed at the edge of a disc of radius 8.5 cm that rotates at the rate of 2.5 rev/s.
Answer in units of m/s.
this is physics
Answer:
11 m/s
Step-by-step explanation:
cause 8.5 add 2.5 then 11 then m/s