Answer:
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Step-by-step explanation:
A
Suppose that 27 slips of paper numbered 1 to 27, inclusive, are put into a hat. Then one is drawn out at random. Find the probability of getting slip 12 and even numbers and prime numbers
The probability of getting-
slip 12 = 1/27even numbers = 13/27, andprime numbers = 1/3.What is meant by probability?Probability is the measure of how likely an event is to occur. Many events are impossible to predict to absolute certainty. We can only predict the possibility of an event occurring, i.e. how likely it is to occur, using it.
The formula for probability is;
Probability(event) = favourable outcome/ total outcome
Now, as per the given question;
There are 27 papers put in a hat numbering from 1 to 27.
The sample space will be;
s = {1,,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27}
The total outcome is 27.
The total number of 12 digit in the sample space is 1.
Thus, the probability for getting slip 12 is;
Probability(slip 12) = 1/27
The sample space for even number are;
s = {2,4,6,8,10,12,14,16,18,20,22,24,26}
Now, there are total number of even digits in the sample space is 13.
Thus, the probability for getting even number is;
Probability(even) = 13/27.
The sample space for prime number are;
s = {2,3,5,7,11,13,17,19,23}
Noe, the total number of prime digits in the sample space is 9.
Thus, the probability for getting prime number is;
Probability(prime) = 9/27 = 1/3
Therefore, the probability for getting the prime number is 1/3.
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Evaluate the variable expression when a = 2 and c = −3. 2a − (c + a)2
The larger of two numbers is 3 fewer than 4 times the smaller number. If the
sum of the two numbers is 32, find the two numbers.
Answer:
25 and 7
Step-by-step explanation:
You want to find two numbers with a sum of 32 such that the larger is 3 less than 4 times the smaller.
SetupLet s represent the smaller number. Then the larger is (4s-3) and their sum is ...
s +(4s -3) = 32
SolutionCollect terms to get ...
5s -3 = 32
5s = 35 . . . . . . . add 3
s = 7 . . . . . . . divide by 5
4s-3 = 28-3 = 25 . . . . the larger number
The two numbers are 7 and 25.
How do I write 10×30 in unit form?
Find the equation of the linear function k that has k(-20) = -17 and that is perpendicular to m (r) = 1/4r+36
Answer: k(x)=-4x+63
Step-by-step explanation:
Perpendicular slopes are opposite reciprocals of each other.
(1/4)^(-1)=4
4*(-1)=-4
k(x)=4x+b
k(-20)=4(-20)+b
-17=4(-20)+b
-17=-80+b
b=63
k(x)=-4x+63
Feng wants to ride his bicycle 45.6 miles this week. He has already ridden 20 miles. If he rides for 4 more days, write and solve an equation which can be used to determine mm, the average number of miles he would have to ride each day to meet his goal.
The average number of miles that he would have to ride each day to meet his goal is 20 + 4x = 45.6.
How to calculate the expression?let the average number of miles be represented by x.
Total number of miles = 45.6
Therefore the expression will be:
20 + (4 × x) = 45.6
20 + 4x = 45.6
4x = 45.6 - 20
4x = 25.6
x = 25.6/4
x = 6.4 miles
He has to ride 6.4 miles per day.
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I REALLY need help asap !
Answer:
17 miles I hope this helps have a good day/night
Write 7.83 x 10^-3 in standard notation
andy wants to put a square fence in his yard for his pet . He waants to have an area of 100 ft, how many feet of fencing would he need?
Answer:
Length of the fence = 40 ft
Step-by-step explanation:
As the yard for the pet is square shaped with area 100 sq. ft, length of each side is given by
[tex]\sf side =\sqrt{area}\\\\ side = \sqrt{100}[/tex]
= 10 ft
Perimeter:
Perimeter of square = 4 *side
= 4 * 10
= 40 ft
A bank charges 12% Simple interest p.a on cash loans to its clients.tito has asked for R10000loan amount and has promised to repay the the loan over 4years
Calculate the interest which Tito has to pay on loan ?
Determine the total amount to be paid back
Determine the monthly repayment amount
If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.
As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.
We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.
To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as
Interest (I) [tex]=(\frac{P*R*T}{100} )[/tex]
where, "P" = Principle amount of Loan,
"R" = Rate of simple interest charged on the principle per annum, and
"T" = Time period within which, the loan is to be repaid.
Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year = [tex](\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800[/tex]
And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.
Simple interest: As the name itself suggests, "Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.To learn more about Simple Interest, click on the link below.
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Question 2-10 Points
Sep 07, 2:02:46 PM
Members of a soccer team raised $1818.50 to go to a tournament. They rented a bus
for $960.50 and budgeted $35.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Answer:
$822.25
Step-by-step explanation:
you will minus all the numbers
Help me on this please! Thank you :)
Answer:
Step-by-step explanation:
Number of girls to boys
11:14
Number of boys to the total number of students
14:25
Total number of students to number of girls
25:11
Number of boys to number of girls
14:11
Question 2(Multiple Choice Worth 5 points)
(Multiplying Rational Numbers MC)
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of 3 ft.
Determine the volume, V, using the formula V= /wh.
O 827.6 cubic ft
O777.6 cubic ft
O 77.76 cubic ft
O 35.45 cubic ft
The volume of the shelter is 1108.25 cu. ft.
What is a Cuboid?
A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
Volume = length × Width × Height
V = l × b × h
The length of the shed is 20.5 ft.
The width of the shed is 12ft.
The height of the shed is 3 ft.
The volume of the shed is:
V = 20.5 × 12 × 3
V = 738 cubic ft.
Therefore, the shed has a volume of 738 cubic ft.
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f r=9, b=5, and g=−6, what does (r+b−g)(b+g) equal?
-20
-8
8
19
20
Answer:
-20
Step-by-step explanation:
=(9+5-(-6)) (5+(-6))
=(20) (-1)
=-20
What function is g(x)
Answer: A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Step-by-step explanation: I hope this helps.
Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21, and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Answer:
14 videos
Step-by-step explanation:
4n=21+2.5n
1.5n=21
n=21/1.5
n=14
Answer:
14 Videos
Step-by-step explanation:
Let x be the number of videos rentable.
From the information given from the question, we know that:
Case A: Non-members
Cost to rent videos = $4x
Case B: Members
Cost to rent videos = $(21 + 2.5x)
So given from the question, we can use:
4x = 21 + 2.5x to solve for x.
[tex]4x = 21 + 2.5x \\ 4x - 2.5x = 21 + 2.5x - 2.5x \\ 1.5x = 21 \\ x = \frac{21}{1.5} \\ = 14[/tex]
Desperate need of help: What are the solutions to -4|x - 1| + 3 = -1?
that the answer you welcome
......... .. . . . . . . . . .
integers - any ___ number or its opposite
number line - a ____ that represents all of the real numbers
Answer:
1. any 1 number
2. number
Step-by-step explanation:
A,B,C..?
*this is kinda hard,my teacher didn’t even explain nor assigned assignments to us about this*
middle school honor teachers these days..smh
Answer:
oh hello
Step-by-step explanation:
hi i am here to help you
Please Help with this question (PreCal)
Answer:
The period is 12 months
Step-by-step explanation:
The temperature values (y-axis) repeat every 12 months (x-axis).
a
10 Mustafa thinks of a number.
root of the number is a multiple of 3.
What is Mustafa's number?
11 a
b
Find all the numbers between 100 and 200 that have an integer
square root.
Find all the numbers between 100 and 200 that have an integer
13 Jiale thinks of a number. She works out the square root of the
number. Then she works out the cube root of the square root of the
number. The answer is 2.
a
Find Jiale's number.
b Show that Jiale gets the same answer if she finds the cube root first and th
the square root.
If Moussa thinks of a number whose root is a multiple of 3, then there are many possible numbers, like 9, 36, 81, etc.
The numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).
The number that Jiale thinks of is 64.
There are three separate, unrelated questions.
Firstly, Moussa thinks of a number whose root is a multiple of 3. Let us assume that the number is "y" and the concerned multiple of 3 be "3x" where (x = 1, 2, 3, 4, 5...)
Hence, as per the question statement,
[tex]\sqrt{y} =3x \\or, y = (\sqrt{y})^{2} =(3x)^{2} \\or,y=9x^{2}...(i)[/tex]
Using (x = 1, 2, 3, 4, 5...) in equation (i), we can have our possible set of answers, i.e., (9, 36, 81...)
Second, we are required to determine all the numbers between 100 and 200 that have an integer square root. We know that, [(10)² = 100]. Therefore, we will have to calculate the squares of numbers above 10 till the squared value reaches or crosses 200, i.e.,
[tex]11^{2}=121, (100 < 121 < 200)\\12^{2}=144, (100 < 144 < 200)\\13^{2}=169, (100 < 169 < 200)\\196^{2}=196, (100 < 196 < 200)\\15^{2}=225, (200 < 225)\\[/tex]
Hence, the numbers between 100 and 200 that have an integer square root are (121, 144, 169 and 196).
Third, Jiale thinks of a number whose square root of cube root is 2. Let the number be "z". As per question statement,
[tex]\sqrt{\sqrt[3]{x}}=2\\ or,(x^{\frac{1}{3}})^\frac{1}{2} =2\\or,(x)^(\frac{1}{3}*\frac{1}{2})=2\\or, (x)^\frac{1}{6}=2\\or,x=(2)^6\\or,x=64[/tex]
And to show that Jiale would have got the same number (2) by calculating the the square root first and then the cube root,
[tex]\sqrt{64} =8,\\\sqrt[3]{8}=2[/tex].
Multiple: A multiple of "x" will be a number which will be exactly divided by x without any remainder.Integer: Any number on the number line which is not a fraction is an Integer.To learn more about Multiples & Integers, click on the link below.
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The following system has no solution.
x+y +2 = 15
2x+2=1
2y -2=7
True or False
Answer:
True
No solution
Step-by-step explanation:
The system of equations is
x + y +2 = 15 (1)
2x + 2 = 1 (2)
2y - 2 = 7 (3)
Subtract 2 from both sides of Eq (2)
==> 2x + 2 - 2 = 1 - 2
==> 2x = -1
==> x = - 1/2 = - 0.5
Add 2 to both sides of Eq (3)
2y - 2 + 2 = 7 + 2
2y = 9
y = 9/2 = 4.5
Plug in values for x and y in Eq (1)
x + y + 2 = 15 becomes
- 0.5 + 4.5 + 2 = 15
==> 6 = 15 which is false
This is an inconsistent system of equations. and therefore has no solution
Write 45 in lowest terms.
47
Answer: 9/20
Step-by-step explanation:
45%=
45 * 100%/100=
45 * 1/100=
45/100=
4.5/10=9/20
show the work for 6 4/5 - 2 1/3=
Answer:
4 7/15
Step-by-step explanation:
To subtract two fractions we need to have them have the same division by, which means the lower part of the fraction needs to be the same. To do that we would need to find a common denominator between 3 and 5, a number that can be both divided by 3 and 5. To figure common denominator for 5 and other nimbery just multiply the other number by 5: 3*5=15. so now we need to multiply both fractions by a number to get lower part to 15, so 4*3/5*3=12/15 and 1*5/3*5=5/15. Now we have 6 12/15 - 2 5/15 = 4 7/15.
Perform the operation and reduce the answer fully. Make sure to
express your answer as a simplified fraction.
1
3
1
2
4/5 divided by 4/3 is equal to 3/5.
In order to divide 2 fractions, we need to first flip the second fraction upside down and then multiply it with the other fraction.
Here, we need to simplify the following expression- 4/5 ÷ 4/3
As mentioned, here also we flip the fraction 4/3 ⇒ 3/4
Now, we multiply it with 4/5,
Thus 4/5 ÷ 4/3 becomes 4/5 × 3/4
now 4/5 × 3/4 = (4 × 3) / (5 × 4)
⇒ (4 × 3) / (5 × 4) = 12/20
Now, we convert this into a simplified fraction by dividing the numerator and denominator by 4. Thus, we get-
= 3/5
Thus, the value of the expression is 3/5.
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Your question was incomplete. Check for full content below-
Perform the operation and reduce the answer fully. Make sure to
express your answer as a simplified fraction.
4/5 divided by 4/3
Solve for all values of a in simplest form.
8+|5+3x|=10
The current student population of Philadelphia is 1500. If the population increase at a rate of 10% each
year. What will the student population be in 7 years?
Write an exponential growth model for the future population (y): y =
What will the population be in 7 years? (Round to nearest student)
The exponential growth model for the future population is given as [tex]y = 1500(1.1)^{t}[/tex] and the student population after 7 years is 2923.06.
The general expression for the exponential growth is given as :
[tex]y = a(1+r)^{t}[/tex]
where, a = initial amount or current student population of Philadelphia
r = rate
t = time in years.
According to the question we have been given that
a = 1500
r = 0.1
putting the required values in above equation we get
[tex]y = 1500 (1+0.1)^{t}\\y = 1500(1.1)^{t}[/tex]
Hence the exponential growth model for the future population is given as :
[tex]y = 1500(1.1)^{t}[/tex]
For the population in 7 years is :
[tex]y = 1500(1.1)^{7}\\y = 1500*1.949\\y = 2923.06[/tex]
hence the student population after 7 years is 2923.06
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What’s 922 rounded to the nearest ten
Answer:
920
Step-by-step explanation:
We must remember the rounding rule.
➩ <5? Keep/go up
➩ 5? Go up
➩ >5? Go up
➲ Hope this helps!
Select the correct answer.
Which table shows a proportional relationship between x and y?
Answer:
Base on the picture, if there are no other choices beside A,B,C then the correct answer would be C. The picture only shows the first two pairs of x and y and they are both proportional, but I'm unsure about the rest of the pairs in C because the picture got cut off.
A and B are incorrect because they do not represent a proportional relationship between x and y. If there are no other choices, then C would be more correct than A and B.
Hope this helps :)
Identify the domain of the graph.
Answer:
what graph but domain is the x axis
Step-by-step explanation: