There are 16 possible outcomes on the carnival spinner, each one of them has the same probability, the probability can be calculated as the nº successes by the total number of outcomes:
\(P(.)=\frac{1}{\text{total outcomes}}=\frac{1}{16}\)\(P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=P(7)=P(8)=P(9)=P(10)=P(11)=P(12)=P(13)=P(14)=P(15)=P(16)=\frac{1}{16}\)You have to calculate the probability that it lands on a number less than 10, you can symbolize this as
\(P(X<10)\)The outcomes that meet the condition "being less than 10" are 1, 2, 3, 4, 5, 6, 7, 8, 9
So that
\(P(X<10)=P(1)+P(2)+P(3)+P(4)+P(5)+P(6)+P(7)+P(8)+P(9)=9\cdot\frac{1}{16}=\frac{9}{16}\)The probability of the spinner landing in a number multiple of 4, the possible outcomes that meet this condition are: 4, 8, 12 and, 16
So the calculation is
\(P(4\cup8\cup12\cup16)=P(4)+P(8)+P(12)+P(16)=\frac{1}{16}\cdot4=\frac{1}{4}\)For the number line shown which statement is not true
upload the picture...
Solve the formula
h = 54t + at for a
Answer:
a = \(\frac{h - 54t}{t}\)
I hope this helps!
find the length of the unknown side
Answer:
20
Step-by-step explanation:
15^2 + b^2 = 25^2
Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)
Answer:
\(m=\frac{4}{5}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (1, -3)
Point (-4, -7)
Step 2: Find slope m
Substitute: \(m=\frac{-7+3}{-4-1}\)Add/Subtract: \(m=\frac{-4}{-5}\)Simplify: \(m=\frac{4}{5}\)ASAP
What is the area of this triangle?
E.(5,1) F.(4,0) D. (8,0)
Units2
Alexander Efland has a savings account that earns 5.5% interest compounded daily. On May 5, the amount in the account was $28,214.35. How much interest will the money earn in the next 90 days?
Using compound interest, it is found that $390.6 was earned in interest in the next 90 days.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.In this problem, the parameters are:
P = 28214.35, r = 0.055, n = 365, t = 3/12 = 0.25.
Hence the amount after 90 days is:
\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(A(90) = 28214.35\left(1 + \frac{0.055}{365}\right)^{365 \times 0.25}\)
A(90) = $28,604.95
28604.95 - 28214.35 = $390.6 was earned in interest in the next 90 days.
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Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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plzzzzz help me plz plz plz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 11.52
Explanation:
1.28 x 9 = 11.52
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
A pizza restaurant has 63
2/3 cups of flour. Each batch of pizza dough uses 5 1/4 cups of flour.
Answer:
12 i think
Step-by-step explanation:
Answer:
I need help with this!!!!!
Step-by-step explanation:
The other person said 12 but how what if its not. ?
Are the two triangles congruent?
Choose 1 answer:
(Choice A)
A-Yes
B-No
C-There is not enough information to say.
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Let f(x)=x2
If g(x) is the graph of f(x) shifted left 6 units, write a formula for g(x)
Answer:
g(x)=x2-6 aaàaaàaaaaaaaaaaaaaaaaaaaaaaa
If f(x) = 3x + 1
Find f(-4)
Find the area and
circumference. Round to the
nearest hundredth.
2.9 ft
A= type your answer...
type your answer...
C=
Answer:
Step-by-step explanation:
formula for area is pi times r squared so we do 2.9 squared times pi to get 26.42 rounded
the formula for circumference is C=pi times diameter so 2.9 times 2 is the diameter times pi rounded to the nearest hundredth is 18.22
Describe how to sketch the graph of y = –tan(2x) + 3 using the parent function.
Answer:
Start by graphing the tangent function.
Compress the graph horizontally by making the period one-half pi.
Reflect the graph over the x-axis.
Shift the graph up 3 units.
Step-by-step explanation:
Just did it but it’s the sample response
Please try to explain it
The table of value of the function and it's graph are attached below
What is the table of valueHere's the table of values for the function m(x) = 0.5x^2 with x ranging from -5 to 5
All we need to do is simply substitute the corresponding value of x into the function to get the value of y.
m(x) = 0.5x^2
m(-5) = 0.5(-5)^2
m(-5) = 12.5
Doing this for all other values, we will have our table below
x m(x)
-5 12.5
-4 8.0
-3 4.5
-2 2.0
-1 0.5
0 0.0
1 0.5
2 2.0
3 4.5
4 8.0
5 12.5
You can use this table to plot the function using a graphing calculator.
Kindly find the attached graph below;
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Note: Triangle may not be drawn to scale.
Suppose a = 10 and b = 2.
Find an exact value or give at least two decimal places:
sin(A) =
cos(A) =
tan(A) =
Answer:
Step-by-step explanation:
more info
Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
What is Trigonometric function?In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
What is Pythagorean theorem?In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Given,
a = 10, b = 2
Draw the figure using the given data
Apply Pythagorean theorem to find the third side or hypotenuse
\(c^{2}=a^{2} +b^{2}\)
\(c^{2}=10^{2}+2^{2}\\c^{2}=100+4\\ c^{2}=104\\ c=\sqrt{104}\)
c = 10.19 units
We know sin θ = Opposite side / Hypotenuse
Sin A = \(\frac{10}{10.19}\)
sin A = 0.98
cos θ = Adjacent side / Hypotenuse
cos A = \(\frac{2}{10.19}\)
cos A =0.20
tan θ = Opposite side / Adjacent side
tan A = \(\frac{10}{2}\)
tan A = 5
Hence, the Exact values are follows:
sin A = 0.98
cos A = 0.20
tan A = 5
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The table shows tickets in an envelope to different concerts.
Rock:6
Pop:8
Country:6
Hip-hop:4
You randomly select two tickets, without replacement. What is the probability that you select two rock
concert tickets?
The probability is
The probability that you select two rock concert tickets is 0.25.
What is the probability?
Probability is the branch of mathematics concerned with numerical descriptions of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, where 0 represents the event's impossibility and 1 represents certainty.
We have,
\(Probability =\frac{number \ of favorable outcomes}{total number \ of outcomes}\)
Number of favorable outcomes = 6
Total number of outcomes = 24
Probability rock concert tickets = 6/24
= 1/4
Probability rock concert tickets = 0.25
Hence, the probability that you select two rock concert tickets is 0.25
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Ella is selling baked goods to raise money for charity. She spent $25.00 on baking
supplies. If each baked good sells for $0.75, what is the minimum number of baked
goods Ella needs to sell in order to raise $125.00 after the cost of supplies?
HELP
Answer:
I think the answer might be 141 baked goods. but I dont know don't trust me.
Step-by-step explanation:
Answer:
200.
Step-by-step explanation:
I know math. But if you want an explanation, here it is.
First, you have to add 25 to 125 because you're trying to gain 25 more dollars than 125 dollars to make up for the money you already spent. Next, you need to dive 150, the result of 125 plus 25, by .75 because you're trying to figure out how many goods you need to sell for .75 cents, to get 150 dollars. So, you do the division, and the answer is 200 dollars.
The following is a function, true or false?
It is TRUE that the given image represents the function.
What is a function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Initially, functions represented the idealized relationship between two changing quantities.
A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.
So, the given image represents a function and it is a kind of many-to-one function.
Therefore, it is TRUE that the given image represents the function.
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A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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pls answer..
5 men earns Rs. 7500 in 3 days, gind the amount that earn by 3 men by 4 days,
Answer:
3 men = Rs. 6000 = 4 days
Step-by-step explanation:
→ Find how much 1 man make in 3 days
1 man = Rs. 1500 = 3 days
→ Find how much he makes in 1 day
1 man = Rs. 500 = 1 day
→ Find how much one man can make in 4 days
1 man = Rs. 2000 = 4 days
→ Find how much 3 men will make
3 men = Rs. 6000 = 4 days
How do you simplify?
-6(y-z)=
Answer:
-6(y-z)=-6y+6z
Hope This Helps!!!
Answer:
-6y +6z
Step-by-step explanation:
-6(y-z)=
Distribute by multiplying the -6 to each term in the parentheses
-6*y -6 *(-z)
-6y +6z
in a group of 700 people, must there be 2 who have matching first and last initials? why? (assume each person has a first and last name, and the initials are from the 26 letters of the roman alphabet.) to answer this question, let a be the set of the 700 distinct people and let b be the set consisting of all possible combinations of first and last initials. then b has elements. so, if a function is constructed from a to b that relates each of the 700 people to their initials, then by the ---select--- principle, the function is ---select--- . therefore, in a group of 700 people, it is ---select--- that no two people have matching first and last initials. so the answer to the question is ---select--- .
In a group of 700 people it is impossible that no two people have same first and last initials.
As per the question each person has a first and the last name.
And the initials are from the 26 letters of the roman alphabet.
In a group of 700 people, must there be 2 who have matching first and last initials.
As the initials are from 26 roman letters thus the total possible unique combinations are as follows:
Let the Number of letters be x.
\(x^{2} =26^{2} =626\).
As set consisting of all possible combinations of first and last initials have 626 elements.
So 626<700 thus by pigeon hole principle the function is not one-to-one and it is impossible that no two people have same first and last initials.
Therefore in a group of 700 people it is impossible that no two people have same first and last initials.
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I need help with question C
how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
12 M Attend to Precision Ricardo has 325 tiles to make 4
mosaics. He uses the same number of tiles for each mosaic.
How many tiles does Ricardo use for each mosaic? How
many tiles does he have left over?
Divide
3
The number of tiles Ricardo use for each mosaic is 81 and 1 tile left over.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given that, M Attend to Precision Ricardo has 325 tiles to make 4 mosaics.
Here, the number of tiles need for each mosaic is 325/4
4|325|81
324
______
1
Therefore, the number of tiles Ricardo use for each mosaic is 81 and 1 tile left over.
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In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Craig’s class? |QUICK! IM TIMED
Answer:
24
Step-by-step explanation:
75% of x = 18
75/100 * x = 18 (x = total number of students)
solving
x = 24
total number of students = 24
Checking:
75/100 * 24 = 18
NO LINKS!!! This problem only
Identify the segment bisector of XY. Then find XY.
Segment Bisector:
XY:
Answer:
Segment Bisector: PQXY: 26 units-------------------------------
As per given drawing PQ is the segment bisector of XY.
The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.
XW = 13 units, hence:
XY = 2*XW = 2*13 = 26 unitsPls help I’ll brainlest asap pls