The probability that the first winner is from Pike and the second from Wells is 1/6, found by multiplying the individual probabilities of each event happening in sequence.
Explanation:The question asks for the probability that the first winner comes from Pike and the second from Wells in a random drawing. With 10 customers in total, 3 from Pike and 5 from Wells, the probability of drawing a Pike resident first is 3/10. If that happens, one less customer is available, leaving 9, with 5 still from Wells.
So, the probability for the second draw is 5/9. Multiplying these probabilities gives the combined probability for both events happening in sequence. Therefore, the required probability is (3/10) * (5/9), which simplifies to 1/6.
The probability that both customers selected are Pike residents is [tex]{\frac{28}{153}}[/tex]
To find the probability that both customers selected are Pike residents, follow these steps:
1. Calculate the probability that the first customer is a Pike resident:
- There are 18 customers in total.
- There are 8 Pike residents.
- So, the probability that the first customer is a Pike resident is:
[tex]\[ \frac{8}{18} = \frac{4}{9} \][/tex]
2. Calculate the probability that the second customer is also a Pike resident, given that the first one was a Pike resident:
- After selecting the first Pike resident, there are now 17 customers left.
- There are now 7 Pike residents remaining.
- So, the probability that the second customer is a Pike resident, given the first was a Pike resident, is:
[tex]\[ \frac{7}{17} \][/tex]
3. Calculate the combined probability:
- Since the selections are dependent events (one customer is selected after another without replacement), multiply the probabilities of each step:
[tex]\[ \left( \frac{4}{9} \right) \times \left( \frac{7}{17} \right) \][/tex]
4. Simplify the multiplication:
- Multiply the numerators: [tex]\(4 \times 7 = 28\)[/tex]
- Multiply the denominators: [tex]\(9 \times 17 = 153\)[/tex]
- So, the combined probability is:
[tex]\[ \frac{28}{153} \][/tex]
17.16 is 62.4%of what
divide
17.16/0.624 = 27.5
what is the median of 2, 20, 19, 15, 11, 9, 7, 1
Find the circumference of the following circle. (Use 3.14 for π.)
15.7 in.
78.5 in.
19.63 in.
31.4 in.
The circumference of the circle is 15.7 inches.
What is circumference?Circumference can be defined as the total distance around a circle.
To calculate the circumference of the circle, we use the formula below.
Formula:
P = πd............... Equation 1Where:
P = Circumference of the circled = Diameter of the circleπ = pie.From the question,
Given:
d = 5 inchesπ = 3.14Substitute these values into equation 1
P = 3.14×5P = 15.7 inches.Hence, The circumference of the circle is 15.7 inches.
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~~20 Points~~ If c is a constant such that x^2+25x+c is equal to the square of a binomial, then what is c?
2x+3y=-5
3x-5y=21
The y-value of the solution is
A) 2
B) 7
C) -3
D) No solution
A telephone pole casts a shadow that is 37 m long. Find the height of the telephone pole if a statue that is 33 cm tall casts a shadow 83 cm long.
one light flashes every 18 seconds and the other flashes every 12 seconds. If they flash together at 8:00pm, what is the next time that they will flash together?
The length of of a rectangle is 10mm and the width is 2.5mm, what is the area
gross income £12000 tax free allowance £6475 what is taxable amount @20%, tax payable,net income and weekly net amount how to work out?
Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below: Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Answer:
Option D.
Step-by-step explanation:
As per given statements we see the time of Sasha practice it increases by a fixed factor of '2' or we can say Sasha's time is multiplied by '2' every week.
When we see the time of Mona's practice, it increases by 10 mins every week. hence there is a addition of a fixed number '10'.
so option D is correct which says Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
Applicant 2 2/3 pages in five minutes how many pages per hour
What is the initial value of y=-2x-5
This problem can be solved easily. The equation states that y is a function of x. Since this is the case, then we can get the initial value of the function when x = 0. Therefore by substitution:
y = - 2 x -5
y = - 2 (0) – 5
y = -5 (ANSWER)
Final answer:
The initial value of the equation y=-2x-5 is -5, which represents the y-intercept of the graph where it crosses the y-axis.
Explanation:
The initial value of the linear equation y=-2x-5 refers to the y-intercept, which is the value of y when x is equal to zero. In this equation, when we set x to 0, y will be -5. This is because the initial value is the value of the function when it starts or when no other changes have been applied to x. It is the point where the graph of the equation crosses the y-axis.
Jackie's total number of coins is 204.. She has twice as many quarters as nickels and three times as many dimes as nickels.. How many of each coin does she have ??
Thank you so much :)
The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the smaller number? x − (x + 8) = 72 x + (x + 8) = 72 x(x + 8) = 72 x(x − 8) = 72
"EXPLAIN PLEASE" Which equation does the graph below represent
Which step comes last when using the divide-center method to find the trend line on a scatterplot?
A Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line.
B Connect the two centers to produce the trend line.
C Disregard all outliers.
D Draw a vertical line so that each side has the same number of data points.
Answer: its B
Step-by-step explanation:
I know
32.1in.×28.2in.×1ft.=
since 2 of the 3 are in inches convert the 3rd one to inches
1 foot = 12 inches
now multiply 32.1 x 28.2 x 12 = 10,862.64 cubic inches
You begin solving the equation 3+4x=51 by subtracting 3 from both sides. Which is the best choice for Step 2? Subtract 48 from both sides. Multiply both sides by 4. Divide both sides by 4. Divide both sides by 48.
The solution of the given equation is x=12. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 3+4x=51.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Subtract 3 from both sides, we get
4x=48
Divide both sides by 4, we get
x=12
Therefore, option C is the correct answer.
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Determine the common ratio and find the next three terms of the geometric sequence. 2/9, 2/3, 2, ...
a. 3; 3/2, 9/2, 21/2
c. 1/3; 3/2, 9/2, 21/2
b. 3; 6, 18, 54
d. 1/3; 6, 18, 54
Answer:
The answer is B
Step-by-step explanation:
The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio is,
⇒ 3
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Now,
Since, The geometric sequence is,
⇒ 2/9, 2/3, 2, ...
Hence, The common ratio = 2/3 ÷ 2/9
= 2/3 × 9/2
= 3
So, The next three terms are find as,
⇒ 2 × 3 = 6
⇒ 6 × 3 = 18
⇒ 18 × 3 = 54
Thus, The next three terms of the geometric sequence are;
⇒ 6, 18, 54
And, The common ratio = 3
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An item is regularly priced at $40. It is on sale for 45% off the regular price. What is the sale price?
A circle with a radius of 61cm is made from a wire.The wire is used to make a sector with a radius of 88cm.What is the angle subtended by the sector?
Can a triangle be drawn with the following angle measures? Why or why not?
50°, 70°, 70°
no, the 3 angles of a triangle need to equal 180 degrees
70 +70 +50 = 190 degrees so it cant be a triangle.
f (x) = x3 + 2, g(x) = x2 – 1, h(x) = 3x Evaluate. g(h( f ((–1))) = ?
Answer:
It's 8
Step-by-step explanation:
Took one for the team and got it wrong to get the right answer which is 8. Just took it. Edg 2020. Hope this helps :)
Btw be confident today cause honey you are beautiful! Just see what a little confidence in yourself can do <3
You have $5.85 to buy bananas to make banana bread. A banana costs $0.39. Which inequality represents the number x of bananas you can buy?
A sailfish can swim up to 68 miles per hour. At this rate, how far can a sailfish swim in 1 fourth hour?
1/4 of an hour
68 miles per hour
multiply 68 by 1/4 = 68/1 *1/4 = 68/4
divide 68 by 4
68/4 =17
it can swim 17 miles
A bedroom is 5.2 meters wide. find it's width in feet (1 meter= 3.28 feet)
A scale on a map shows that 2 inches = 25 miles.
Part A
How many inches on the map represent 60 miles?
Enter your answer in the box.
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
60/25 = 2.4
2.4 x 2 = 4.8 inches = 60 miles
25/2 = 12.5 for 1 inch
12.5/4 = 3.125 miles for 1/4 inch
In December, 2003, the average price for a gallon of regular gas in the United States was $1.50. (A) Gerald paid $12.60 for a tank of gas. How much did he pay?
Answer: He paid for 8.4 gallons.
Step-by-step explanation:
Since we have given that
Average price for a gallon of regular gas = $1.50
Amount paid for a tank of gas = $12.60
So, Number of gallons would be
[tex]\dfrac{\text{Total cost}}{\text{Average price}}\\\\\\=\dfrac{12.60}{1.50}\\\\\\=8.4\ gallons[/tex]
Hence, He paid for 8.4 gallons.
Find the value of x in the kite below. Angle TCU measures (7x – 1)° Kite TUVW, with congruent angles T and V, diagonals intersect at point C
x = 12.7
x = 14
x = 13
x = 14.3
Triangle ABC is similar to triangle DEF. what is the value of x ? Pic attached :) thank you.
Given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
What are Similar Triangles?If two triangles are similar, it means they have the same shape but different sides, and therefore, the ratio of their corresponding sides are equal.
Thus:
BC/EF = AC/DF
Substitute8/2x = 3/5
Cross multiply40 = 6x
Divide both sides by 6x = 6⅔.
In summary, given that triangles ABC and DEF are similar, the value of x is: D. 6⅔.
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