The probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
In this question, there are an equal number of pennies, nickels, dimes, and quarters in a bag.
We need to find the probability that the combined value of the four coins randomly selected with replacement will be $.41
Out of 41 cents, 1 must be a penny.
And the remaining three (a nickel, dime, and a quarter) must add up to 40 cents.
The first coin must be penny so, its probability P1 = 1
The probability for the second coin would be,
P2 = 3/4
The probability for the third coin would be,
P3 = 2/4
P3 = 1/2
And the probability for the fourth coin would be,
P4 = 1/4
Since the events are independent, the resultant probability would be,
P = P1 × P2 × P3 × P4
P = 1 × 3/4 × 1/2 × 1/4
P = 3/16 × 1/2
P = 3/32
Therefore, the probability that the combined value of the four coins randomly selected with replacement will be $.41 is 3/32
Learn more about the probability here:
https://brainly.com/question/3679442
#SPJ1
How you express A fifth of books in my collection and two thirds of the books in my father's collection make 250 books
Answer:
Step-by-step explanation:
Let collections of my books=x
collection of books in my father =y
[tex]\frac{x}{5} +\frac{2}{3}y=250[/tex]
Can someone please help me with the answer and explanation?
Answer: c.
Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction
1. Miss L wants to buy a new car. If the car
payments are $500 a month, how much will she
spend a year on her car?
Answer:
6,000
Step-by-step explanation:
500x12
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
2
Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of
3
9514 1404 393
Answer:
Q'(-6, 9), R'(-9, 3), T'(6, -3), W'(6, 12)
Step-by-step explanation:
Each of the individual coordinate values is multiplied by 3.
(x, y) ⇒ (3x, 3y)
__
Q(-2, 3) ⇒ Q'(-6, 9)
R(-3, 1) ⇒ R'(-9, 3)
T(2, -1) ⇒ T'(6, -3)
W(2, 4) ⇒ W'(6, 12)
A TV has a listed price of 659.99$ before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included
Answer:
714.439
Step-by-step explanation:
You multiply 659.99 • 1.0825
The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.
find the average rate of change of
f(x) on the interval
The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]
How to Find the Average Rate of Change?Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:
Average rate of change = f(b) - f(a)/b - a.
a = 7
f(a) = f(7) = 1/(7 + 12) = 1/19
b = 7 + h
f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)
Plug in the values into the average rate of change formula
Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7
Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h
Average rate of change = (19 - h - 19)/19(h + 19) × 1/h
Average rate of change = -h/19(h + 19) × 1/h
Average rate of change = -1/19(h + 19) × 1/1
Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]
Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].
Learn more about average rate of change on:
https://brainly.com/question/11627203
#SPJ1
You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?
PLEASE ANSWER ASAP
Answer:
286.44 miles........
Subtract
3-9 = ???????
Answer:
-6
Step-by-step explanation:
You will be a hero!
The listing price for Candy Cane Creek is $864, 550. But your houses aren’t selling!! You decide to DROP the list price by 10%. What is the NEW listing price?
Answer: It's me again ;) The answer is 778,095
Step-by-step explanation: Find 90% of 864,550.
Answer:
I found out there has to be more than one answer to mark someone brainliest so this is me from another account!
Step-by-step explanation:
answer here literally 5th grade math (kinda not math just logic)
Answer:
Sophia: Deep Ocean, Heather: Soft Sky, Mia: Peacock Feathers
Step-by-step explanation:
If the first statement is true:
Sophia DID choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID choose Soft SkyIf the second statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID NOT choose Deep OceanHeather DID NOT choose Deep OceanHeather DID NOT choose Soft SkyIf the third statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID NOT choose Deep OceanHeather DID choose Soft SkyIf the fourth statement is true:
Sophia DID NOT choose Peacock FeathersSophia DID choose Deep OceanHeather DID choose Deep OceanHeather DID NOT choose Soft SkyOut of all of these, only the third statement has no doubles.
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
Go step by step to reduce the radical. √192
Answer: 8√3.
Step-by-step explanation:
First, look for any perfect squares that can fit into 192 snugly.
If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).
The √ of 64 is 8.
The √ of 3 cannot be simplified any further.
Thus, leaving us with our answer of 8√3.
John eats 3/8s of a pizza one day, 1/4 the next day. Can he eat half the next day? Use addition or
subtraction to justify your answer
By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
Let the total pizza be 1.
On the first day, the fraction of pizza that John ate = 3 / 8
On the next day, the fraction of pizza that John ate = 1 / 4
Total pizza that John ate till now will be calculated using addition:
3 / 8 + 1 / 4
3 / 8 + 2 / 8
5 / 8
Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.
1 - 5 / 8
8 / 8 - 5 / 8
3 / 8
We can see that the half pizza is not left.
So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.
Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
Learn more about addition here:
https://brainly.com/question/25421984
#SJ9
The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 208 feet. Find the length of the garden.
Answer:
The Length is 56 feet
Step-by-step explanation:
w + w + 8 + w + 8 + w = 208 (two sides have a width of w and 2 sides have the length of 8 + w)
Combine the w/s and the 8's
4w + 16 = 208 Subtract 16 from both sides of the equation
4w = 192 Divide both sides by 4
w = 48 The width is 48 feet. That means that the length is 8 feet longer or 56 feet.
Check:
48 + 48 + 56 + 56 = 208
208 = 208
What is the solution to the equation?
2/3 a - 1/6 = 1/3
Answer:
a = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
When working with fractions, I would mostly like to make the denominators the same first.
[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]
Make all the denominators 6.
[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Isolate [tex]\frac{4}{6}[/tex]a.
[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]
= [tex]\frac{3}{6}[/tex]
Find a.
[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]
a = [tex]\frac{3}{4}[/tex]
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55. withdrawal $-25 deposit $125 withdrawal -$50 deposit $25
Answer:
90
.......................................
convert 4.7 in. to centimeters and round to the nearest tenth
Answer:
11.9 cm
Step-by-step explanation:
1 in ≈ 2.54 cm
4.7 in ≈ 2.54(4.7) cm
2.54(4.7) = 11.938 cm
11.938 cm rounded to the nearest tenth is 11.9 cm.
Answer: 11.9
Step-by-step explanation:
The conversion rate is 1 inch to 2.54 centimeters. Using this we can setup the equation [tex]4.7 in * \frac{2.54 cm}{1 in}[/tex]. The inches units will cancel and you will end up with 11.938 cm. Rounded to the nearest tenth and you get 11.9.
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
Learn more about Linear equations here-
https://brainly.com/question/13729904
#SPJ9
An 11 pound turkey costs
$15.00, while the 20 pound
turkey is on sale for $25.00.
Which is the better buy?
Answer:
11 pound turkey
Answer:
the 11 pound turkey its not that expensive than the other one
If AABC = ADEC,
ZB = 2x + 31 and ZE = 7x - 24
D
B
E
x= [ ? ]
Answer:
/_ b = /_ e
2x + 31 = 7x - 24
5x = 55
x = 11
Step-by-step explanation:
Concept Check The table represents a linear function f. (a) Find the slope of the graph of y = f(x). (b) Find the y-intercept of the line. (c) Write an equation for this line in slope-intercept form. X -2 -1 0 1 2 3 y -11 -8 -5 -2 1 4
The slope of the graph of y = f(x) is 3
The y-intercept of the line = -5
Equation for the line in slope - intercept form is y = 3x - 5
Given table of linear function is:
x | y
-2 -11
-1 -8
0 -5
1 -2
2 1
3 4
Slope = Change in y values/ Change in x-values
= -8 --11/-1--2 = 3
Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3
So the slope is constant and is m = 3.
y-intercept is the y-value corresponding to when x = 0.
Here, when x = 0, y = -5.
So the y-intercept, c = -5
The equation for the linear function in slope-intercept form is,
y = mx + c , where m is the slope and c, the y-intercept of the function.
So here, the slope-intercept form of the function is,
y = 3x - 5
Learn more about slope-intercept form at https://brainly.com/question/1884491
#SPJ9
help fill in the chart
Write the following multiplication using exponents 9•9•9•9•9•9
Answer:
9⁶
Step-by-step explanation:
9 is the number you are multiplying
6 is how many times you are multiplying the 9
Answer:9^6
Step-by-step explanation:
count each time 9 is times to get the answer.
What should you do to both sides of the inequality in order to solve x + (-2) > 3?
Subtract 2.
Add 2.
Add 3.
Subtract 3
please answer its worth 13 points
last year lien earned $1,300 more then get husband. together they earned $58,600. how much did each of them earn?
Answer:
lien earned 29950, husband earned 28650
Step-by-step explanation:
you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.
Can someone help me?
Answer:
A. Is true
B. Is true
C. False
Step-by-step explanation:
Communism
Rachel is saving money to buy a game. So far she has saved $30, which is two-thirds of the total cost of the game. How much does the game cost?
Answer:
45
Step-by-step explanation:
2/3 of 45 is 30
Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.
Answer:
45th term is 85
Step-by-step explanation:
We use the definition of the nth term of an arithmetic sequence:
[tex]a_n=a_1+(n-1)\,d[/tex]
which for our case gives:
[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]
What percentage of those who took the test in 2018 were from the Americas (either Canada, the United States, Mexico, the Caribbean, or Latin America)? Give your answer to one decimal place
Based on the percentage that took the test from Canada, the United States, the Caribbean and Latin America, the percentage who took the test in 2018 from the Americas was 35.90%.
How to find the percentage who took the test?The total percentage of people who took the test in 2018 from the Americas can be found as:
= Percentage from Canada + United States + Mexico, the Caribbean, or Latin America
= 2.4% + 30.3% + 3.2%
= 35.90%
The rest of the question is:
The Graduate Management Admission Test (GMAT) website provides the following information about the geographic region of citizenship of those who took the test in 2018: 1.9% were from Africa; 0.3% were from Australia and the Pacific Islands; 2.4% were from Canada; 14.3% were from Central and South Asia; 36.1% were from East and Southeast Asia; 1.7% 1 were from Eastern Europe; 3.2% were from Mexico, the Caribbean, and Latin America;
Find out more on percentages at https://brainly.com/question/21512139
#SPJ1