Answer: [tex]\dfrac{20}{171}[/tex]
Step-by-step explanation:
Given : Number of nickels in the bag = 10
Number of dimes in the bag = 4
The total number of coins in the bag =[tex]10+4+5=19[/tex]
The probability of drawing nickel :-
[tex]\text{P(nickel)}=\dfrac{10}{19}[/tex]
Total number coins left = 18
The conditional probability of drawing dime, given that a nickel is already drawn :-
[tex]\text{P(dime}|\text{nickel)}=\dfrac{4}{18}[/tex]
Now, the probability you withdrew a nickel and then a dime is given by :-
[tex]\text{P(dime and nickel)}=\text{P(dime}|\text{nickel)}\times\text{P(nickel)}\\\\=\dfrac{10}{19}\times\dfrac{4}{18}=\dfrac{20}{171}[/tex]
Now, the probability you withdrew a nickel and then a dime [tex]}=\dfrac{20}{171}[/tex]
Parallel slope of 8x+y=11
Answer:
The slope parallel to this line is -8.
Step-by-step explanation:
That's because parallel lines have the same slope. Therefore to find the slope of a parallel line, we must first find the slope of this one. On order to do that, we need to solve for y and then look at the coefficient of x.
8x + y = 11
y = -8x + 11
Therefore, we know the slope to be -8, which means the parallel slope must also be -8.
In which of these cases is each stamp worth the most?
1. 7 of the same stamp worth a total of $3.15
2. 8 of the same stamp worth a total of $3.20
3. 10 of the same stamp worth a total of $4.10
4. 16 of the same stamp worth a total of $4.80
3.15 /7 = 0.45
3.20/8 = 0.40
4.10/10 = 0.41
4.80/16 = 0.3
Answer is 1. 7 stamps worth 3.15
Answer:
1. 7 stamps for $3.15 → $0.45/stamp
Step-by-step explanation:
Calculate the price per stamp for each scenario:
1)[tex]\frac{3.15}{7}=0.45[/tex]/stamp
2)[tex]\frac{3.20}{8}=0.40[/tex]/stamp
3)[tex]\frac{4.10}{10}=0.41[/tex]/stamp
4)[tex]\frac{4.80}{16}=0.3[/tex]/stamp
Therefore the first scenario of stamps will be the worth the most per stamp, as it has a higher cost than the rest.
In the graph shown, which ordered pair does NOT represent a solution to the graph?
A) (1, 7)
B) (0, 4)
C) (2, –2)
D) (3, –5)
The steps Kalee used to solve the equation –4x + 9 = 2x – 12x + 51 and the properties she used to justify each step are shown. Find and identify each error. Note: There are errors in both the mathematical work and the justifications.
Create your own equation and explain, using complete sentences, how you would solve it. Make sure you include the properties of operations and/or the properties of equality that justify each step in your explanation
Which function, g or h, is the inverse function for function ƒ? the function h because the graphs of ƒ and h are symmetrical about the y-axis the function g because the graphs of ƒ and g are symmetrical about the line y = x the function h because the graphs of ƒ and h are symmetrical about the line y = x the function g because the graphs of ƒ and g are symmetrical about the x-axis?
When graphed, a function and its inverse function become symmetrical across the line y = x.
What is a symmetrical function?A function that is symmetric is a function whose variables remain constant regardless of the ways in which the variables are permutated.
Hence When graphed, a function and its inverse function become symmetrical across the line y = x.
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Will give brainliest pls help
How many seconds should a standard ecg strip be, to use for interpretation?
a. 1 minute
b. 12 seconds
c. 6 seconds
d. 30 seconds?
Find the value of x for which line a is parallel to line b.
What is a correct congruence statement for the triangles shown?
the blue arc is showing that the angle of P & B are congruent, the single blue line shows that PF is congruent to BL
so in order for the triangles to be congruent the letters of the 2nd triangle need to be in the same order as the first
so P = B, F = L, and X = G
So answer would be BLG
What sum or difference is equivalent to the following expression 5-3x/5 A 1+3/5 B 1+3x/5 C 1-3x/5 D 25-15x
Answer:
Option C is the answer.
Step-by-step explanation:
The given expression is [tex]\frac{(5-3x)}{5}[/tex]
We solve it further to get the simplified form.
[tex]\frac{(5-3x)}{5}[/tex] = [tex]\frac{5}{5}-\frac{3x}{5}[/tex]
= [tex](1-\frac{3x}{5})[/tex] [Since [tex]\frac{a-b}{a}=\frac{a}{a}-\frac{b}{a}][/tex]
Therefore, option C matches the simplified form of the expression.
The sum of the percent frequencies for all classes will always equal:
If each of the numbers in the following data set were multiplied by 18 what would be the new median of the data set 14,20,18,58,71,36
Answer:
Step-by-step explanation:
arranging in ascending order
14,18,20,36,58,71
median=(20+36)/2=56/2=28
new median=28*18=504
Answer:
504
Step-by-step explanation:
What ten times 13 divided by 130, how you solve it
The sum of 5 consecutive odd numbers is 145 what is the third number in this sequence
Answer:
29
Step-by-step explanation:
You don't need to know you just need to know the answer and it is 29
4y cos(x) find local minimum maximum -g
Which monomials are perfect squares? Check all that apply. 6x2 9x8 16x9 25x12 36x16
Answer: Options Third, Second , Fourth are correct.
Step-by-step explanation:
Since we have given that
[tex]6x^2\\\\9x^8\\\\16x^9\\\\25x^{12}\\\\36x^{16}[/tex]
Since we know that
9, 16, 25, 36 are perfect squares.
So, we get that
[tex]9x^8=(3x^4)^2\\\\25x^{12}=(5x^6)^2\\\\36x^{16}=(6x^8)^2[/tex]
Hence, Options Third, Second , Fourth are correct.
Lashonda runs 3 miles in 25 minutes. at the same rate, how many miles would she run in 20 minutes?
Jenny divided 1/2 gallon of ketchup equally into 4 smaller bottles to put on the tables in her hamburger restaurant. How much ketchup did she put in each bottle
When shopping, Lucinda spent $48. If the amount she spent was 15% of her savings, how much savings did she have before she shopped? Explain how you got your answer.
This trip covers approximately 1,500 miles. You plan to return the car with a full tank of gasoline. You are considering two options advertised by Hertz: Toyota Camry, 33 mpg highway, costs $465.59 plus taxes and fees totaling $553.28. Toyota Prius Hybrid, 48 mpg highway, costs $634.49 plus taxes and fees totaling $804.61. In both cases, you must purchase gasoline, which costs approximately $3.80 per gallon in California.
A rose garden is designed by joining a rectangle and a semicircle, as shown below. the rectangle is 31ft long and 19ft wide. if the gardener wants to build a fence around the garden, how many feet of fence are required? (use the value 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.)
You have 4 shirts and 3 pairs of pants. How many different outfits can you make if you need to wear a different shirts and different pants everyday?
Answer:
you multiply 4 by 3 and you get 12 outfits
Step-by-step explanation:
Can i deposit rolled coins at the drive through
What is the product of 3 2/3 + 14 2/5?
My company charges 10 cents per minute over 5 minutes when using Internet at its store. It also charges a 5 dollar fee for usage. How many minutes can I get with 10 dollars?
There are (4^2)^3 ⋅ 4^0 horses on a stud farm. What is the total number of horses on the farm?
0
4^6
4^7
4^24
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Answer:
The sequence is: -10, -12, -14, -16, -18, -20, -22, -24, -26, and -28.
The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
HELP. SEE ATTACHED Suppose the integral from 2 to 6 of g of x, dx equals 12 and the integral from 5 to 6 of g of x, dx equals negative 3, find the value of the integral from 2 to 5 of 3 times g of x, dx .
The value of the asked integral is 45
What are integrals?An integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operation of calculus, the other being differentiation.
Given that, [tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] and [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex]
[tex]\int\limits^6_2 {g(x)} \, dx = 12[/tex] _ [tex]\int\limits^6_5 {g(x)} \, dx = -3[/tex] = [tex]\int\limits^5_2 {g(x)} \, dx[/tex]
Therefore,
[tex]\int\limits^5_2 {3g(x)} \, dx[/tex]
= [tex]3\int\limits^5_2 {g(x)} \, dx[/tex]
= 3[12-(-3)]
= 3(15) = 45
Hence, the value of the asked integral is 45
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What type of transformation is demonstrated in the following figure?
it is a translation.
Given triangle ABC is congruent to PQR,b= 3v+4 and q=8v-6 find angle b and angle q