there are five nickels and seven dimes in your pocket. four of the nickels and six of the dines are canadian. the others are US currency. you randomly select a coin from your pocket. what is the probability it is a nickel or it is Canadian currency?
Answers
We know that there are 5 nickels in total, and there are 10 Canadian currencies. We also know the total number of currencies is 12.
The probability of the event would be as not mutually exclusive events, which follows the following rule:
\(P(\text{AorB)}=P(A)+P(B)-P(AandB)\)The probabilities of A and B are
\(\begin{gathered} P(A)=\frac{5}{12} \\ P(B)=\frac{10}{12}=\frac{5}{6} \end{gathered}\)The probability of A and B is
\(P(\text{AandB)}=\frac{5}{12}\cdot\frac{5}{6}=\frac{25}{72}\)Then, we replace all these probabilities in the formula above.
\(P(\text{AorB)}=\frac{5}{12}+\frac{5}{6}-\frac{25}{72}=\frac{65}{72}\approx0.90\)Hence, the probability is around 90%.Related Questions
WHAT IS THE PERIMETER OF A SQUARE WITH SIDE LENGTHS OF 14 METERS?
Answers
Answer:56
Step-by-step explanation:
14+14+14+14
Answer: 56 m
Step-by-step explanation:
The formula for perimeter is 2L + 2W, so using substitution, it would look like 2(14) + 2(14) resulting in 56.
Explain how the pattern of chairs in a movie theater can be described using translation.
Answers
Answer:
Step-by-step explanation:
reflection over the x-axis as well reflected over the Y axis and rotated 90° counterclockwise and clockwise
Answer:Since the chairs all have the same orientation, any chair in a row can be described as a horizontal translation of any other chair in that row. Likewise, any row of chairs can be described as a translation of any other row of chairs up and back or down and forward.
Step-by-step explanation: Just did it, that is the sample response.
Simplify the expression 5x2+6x+4+x2+x
.
Thank You!
Answers
The simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
The given expression is 5x²+6x+4+x²+x
Simplifying the given expression
5x²+6x+4+x²+x
Firstly, put the similar terms together
5x²+x²+6x+x+4
Adding the similar terms
6x²+7x+4
∵ The expression cannot be solved further, 6x²+7x+4 is the final solution.
Therefore, the simplified solution of the expression 5x²+6x+4+x²+x is 6x²+7x+4.
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jason has 4 tiles. each tile has a number printed on it. the numbers are 2, 6, 8.
Answers
Hi Im Carriyana!! Glad to help today!
If jason has 4 tiles and...
tile #1 says 2
tile #3 says 6
tile #4 says 8
Simple math states that tile #2 is 4!!
Which fraction is closest to 1/2
?
Answers
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
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SOMEONE SMART PLEASE HELP!! if ax^2+bx+c=0, and a≠0, then x=
Answers
Step-by-step explanation:
Hey there!
Simply, ax²+bx+c = 0 is a standard quadratic equation form.
When any equation is in this form where a ≠ 0;
\(x = \frac{ - b \: \: \: + - \sqrt{ {b}^{2} - 4ac } }{2a} \)
Hope it helps!
how you can use Triangle congruence to solve real-world problems? give 3 examples.
Answers
Answer:
1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.
2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.
3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.
determine whether each table shows a unit greater than 1 mile per minute
Answers
Answer
First Table - Yes
Second Table - Yes
Third Table - No
Fourth Table - No
Explanation
Finding rates in the form of miles per minute is done by dividing the given miles covered by the corresponding minutes taken.
Since the rates are constant for each of the tables, we can just use one datapoint to calculate the rate for each of the tables.
First Table
Using the first datapoint
Miles covered = (3/6) = (1/2) mile
Time = (1/3) minute
Rate = (1/2) ÷ (1/3) = (1/2) × (3/1) = (3/2) = 1.5 miles per minute
So, Yes, this rate is greater than 1 mile per minute.
Second Table
Using the first datapoint
Miles covered = (12/12) = 1 mile
Time = (3/4) minute
Rate = 1 ÷ (3/4) = 1 × (4/3) = (4/3) = 1.33 miles per minute
So, Yes, this rate is greater than 1 mile per minute.
Third Table
Using the first datapoint
Miles covered = (1/5) = (1/5) mile
Time = (2/8) = (1/4) minute
Rate = (1/5) ÷ (1/4) = (1/5) × (4/1) = (4/5) = 0.80 miles per minute
So, No, this rate is not greater than 1 mile per minute.
Fourth Table
Using the first datapoint
Miles covered = (4/5) mile
Time = (8/5) minute
Rate = (4/5) ÷ (8/5) = (4/5) × (5/8) = (1/2) = 0.50 miles per minute
So, No, this rate is not greater than 1 mile per minute.
Hope this Helps!!!
A balloon artist counted the number of balloon animal requests he received at a party. The balloon equests differed in animal type and color. Giraffe Dog Purple 8 9 Green 5 6 Yellow 9 3 Vhat is the probability that a randomly selected balloon animal is yellow or is shaped like a giraffe? Simplify any fractions.
Answers
The probability that a randomly selected balloon animal is yellow or is shaped like a giraffe is given by
\(P(yellow\: or\: giraffe)=P(yellow)+P(giraffe)-P(yellow\: and\: giraffe)\)Let us first find the probability that a randomly selected balloon animal is yellow
\(P(yellow)=\frac{n(\text{yellow)}}{n(\text{total)}}\)Where n(yellow) is the total of the row yellow
\(n(yellow)=9+3=12\)n(total) is the total number of balloon animals
\(n(total)=8+9+5+6+9+3=40\)So, the probability that a randomly selected balloon animal is yellow is
\(P(yellow)=\frac{n(\text{yellow)}}{n(\text{total)}}=\frac{12}{40}=\frac{3}{10}\)Now, let us find the probability that a randomly selected balloon animal is shaped like a giraffe
\(P(giraffe)=\frac{n(giraffe\text{)}}{n(\text{total)}}\)Where n(giraffe) is the total of the column giraffe
\(n(giraffe\text{)}=8+5+9=22\)So, the probability that a randomly selected balloon animal is shaped like a giraffe is
\(P(giraffe)=\frac{n(giraffe\text{)}}{n(\text{total)}}=\frac{22}{40}=\frac{11}{20}\)Now, let us find the probability that a randomly selected balloon animal is yellow and shaped like a giraffe
\(P(yellow\: and\: giraffe)=\frac{n(yellow\: and\: giraffe)}{n(\text{total)}}\)Where n(yellow and giraffe) is 9 (the intersection of yellow and giraffe)
\(P(yellow\: and\: giraffe)=\frac{n(yellow\: and\: giraffe)}{n(\text{total)}}=\frac{9}{40}\)Finally, the probability that a randomly selected balloon animal is yellow or is shaped like a giraffe is
\(\begin{gathered} P(yellow\: or\: giraffe)=P(yellow)+P(giraffe)-P(yellow\: and\: giraffe) \\ P(yellow\: or\: giraffe)=\frac{3}{10}+\frac{11}{20}-\frac{9}{40} \\ P(yellow\: or\: giraffe)=\frac{5}{8} \end{gathered}\)Therefore, the probability that a randomly selected balloon animal is yellow or is shaped like a giraffe is 5/8
. Bert has a well-shuffled standard deck of 52 cards, from which he draws one card; Ernie has a 12-sided die, which he rolls at the same time Bert draws a card. Compute the probability that:
a. Bert gets a Jack and Ernie rolls a five.
b. Bert gets a heart and Ernie rolls a number less than six.
c. Bert gets a face card (Jack, Queen or King) and Ernie rolls an even number.
d. Bert gets a red card and Ernie rolls a fifteen.
e. Bert gets a card that is not a Jack and Ernie rolls a number that is not twelve.
Answers
Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.
What is probability, exactly?The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.
Here,
a.
P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)
= (4/52) * (1/12)
= 1/78
b.
P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)
= (13/52) * (5/12)
= 65/624
c.
P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)
= (12/52) * (6/12)
= 1/4
d.
P(Bert gets a red card and Ernie rolls a fifteen) = 0
e.
Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:
A regular 52-card deck contains 48 cards that are not Jacks,
so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.
On a 12-sided dice with 11 possible outcomes,
Ernie rolls a non-12th-number (1, 2, 3, etc.).
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The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
Answers
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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Please Solve. 100 points for correct answers
Answers
In the drawing you can see all the information provided. Especially, the information regarding the triangle AED tells us it is an equilateral triangle (a triangle where all the sides are of the same length).
These triangles ALWAYS have 3 times the same angle which is 60*.
This means we can use the law of cosines as we have two sides and the inscribed angle (at the corner A) given. Now the law of cosines tells us that:
x = sqrt( AB^2 + AC^2 - 2*AB*AC*cos(y))
Plugging the given numbers gives us
x = sqrt( 33^2 + 21^2 - 2*33*21*cos(60*))
A calculator tells us that
x = 28.931 so not actually an integer.
Well I do not know where the mistake is :)
fill in the bank. In the triangle below, x = . Round your answer 2 decimal places
Answers
The calculated value of x in the triangle is 23.57 degrees
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The right triangle
From the triangle, we have
Angle x
Also, we have the following sides in relation to x
Opposite = 6
Hypotenuse = 15
This means that we make use of the sine ratio
i.e. sin = opposite/hypotenuse
So, we have
sin(x) = 6/15
Evaluate
sin(x) = 0.4
Take the arc sin of both sides
x = 23.57
Hence, the value of x is 23.57 degrees
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let w(x,y) mean that student x has visited website y where the domain for x consists of all students in your school and the domain for y consists of all websites
Answers
The expression each of these statements by a simple English sentence are following:
(a) Student Sarah Smith visited the website www.att.com.
(b) There is a student at your school who has visited the website www.imbd.org.
(c) There is a website visited by José Orez.
(d) There is a website visited by Ashok Puri and Cindy Yoon.
(e) In your school, there is a student next to David Belcher who has visited all the websites that David Belcher has visited.
(f) There are two different students in your class who visited the same website.
W(x,y) = "Student x visited website y"
Domain x = All students in your school
Domain y = All Websites
In logic, a quantifier is an operator that specifies how many individuals there are in a domain. There are two kinds of quantifiers: universal quantifiers, written as "(∀ )", which can be read as "for all"; and existential quantifiers written as "(∃ )", which can be read as "to exist". We have to express each of these statements in a simple English sentence.
a) W (Sarah Smith, www.att.com) means Sarah Smith has left www.att.com.
b)∃xW(x, www.imdb.org) means that at least one individual went to www.indb.org.
c) ∃yW(José Orez, y) means that Jose Orez missed at least one place.
d) ∃y(W(Ashok Puri, y) ∧ W(Cindy Yoon, y)) means that there is a page that they both visited.
e)∃y∀z(y ≠ (David Belcher) ∧ (W(David Belcher, z) → W(y,z))), means that there is a man other than the one who went through all the pages that went through.
f)∃x∃y∀z((x ≠ y) ∧ (W (x, z) ↔ W (y, z))), means that there are two distinct individuals who have passed through the same places.
Therefore, we got all the statements as an English sentence.
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Complete question:
Let W (x, y) mean that student x has visited website y, where the domain for x consists of all students in your school and the domain for y consists of all websites. Express each of these statements by a simple English sentence.
a) W (Sarah Smith, www.att.com)
b) ∃xW(x, www.imdb.org)
c) ∃yW(José Orez, y)
d) ∃y(W(Ashok Puri, y) ∧ W(Cindy Yoon, y))
e) ∃y∀z(y ≠ (David Belcher) ∧ (W(David Belcher, z) → W(y,z)))
f) ∃x∃y∀z((x ≠ y) ∧ (W (x, z) ↔ W (y, z))).
Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x
represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked
the canal trail.
Which equation can be used to find
the number of times Maria hiked each trail?
O x + y = 90
O 5x - 10y = 90
90 - 10y = 5x
90 + 10y = 5x
Answers
Answer:
Step-by-step explanation:
answer is;3.14159
Could use help on this thank you in advance!
Answers
Answer:
what exactly do i need to do ?????
Step-by-step explanation:
How do I do exponents
Answers
Step-by-step explanation:
whatever the numbers is on top like say it is 2 over 5 you would do 2 x5 and get 10
What do the four yellow tiles in the model of the equation below represent?
-4
4
- 4x
4x
Answers
Answer:
4x
Step-by-step explanation:
in a classroom for every eight girls there are five boys what is the ratio of boys to girls?
Answers
Answer:
5:8
Step-by-step explanation:
Evaluate the expression for z = -1.
-52z = __
Answers
Answer:
Step-by-step explanation:
Substitute z for -1
Negative times negative=positive because the two signs are cancelled out.
-52 * -1 = 52
a scale on a map shows that 2 inches =25 miles.
how man inches on the map represents 60 miles
Answers
Answer:
2 inches - 25 miles
x inches - 60 miles
Set up a proportion:
4.8 inches on the map represent 60 miles.
Step-by-step explanation:
HOPE this helps you!!!!! :D
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answers
Answer:
$638.14
Step-by-step explanation:
Our equation is \(p*(1+x)^{t}\), with p being the starting amount, x being the interest rate, and t being the time. Plugging our variables in, we get
\(500*(1+0.05)^{5}\) = around 638.14
Josh will receive $638 at the end of the term.
Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum,
What is cost price?Cost price is that price for buyer which he pays to seller for an object or product.
Principle amount = $500
Rate = 5 %
Tenure = 5 years
Amount = principle (1+R)^tenure
= 500 (1+5/100)^5
= $638
Thus, Josh will receive $638 at the end of the term.
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Please help me find the equation xx
Answers
9514 1404 393
Answer:
(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°Step-by-step explanation:
The equation is an expression of the fact that the sum of the angles in a triangle is 180°.
(2x -10)° +x° +(x +10)° = 180°
For the purposes of the answer box, I'd leave off the degree symbol:
(2x -10) +x +(x +10) = 180
__
This simplifies to ...
4x = 180
x = 45
Then the angles (CW from top) are ...
(2·45 -10) = 80°
(45 +10)° = 55°
(45)° = 45°
Convert the measurement as indicated.85 qt=____gal_____qt85 qt= gal qt(Simplify your answer.)
Answers
Knowing that:
1 qt = 0.25 gallons
Then,
85 qt = 85*0.25 gallons
85 qt = 21.25 gallons
21.25 gallons is the same as 21 gallons + 0.25 gallons, and since 0.25 gallons = 1 qt:
21.25 gallons = 21 gallons + 1 qt
Finally,
85 qt = 21 gallons 1 qt
Answer:
85 qt = 21 gallons 1 qt
What is the value of In e^4?
0 0
O 1
02
04
Answers
Answer:
4
Step-by-step explanation:
\(In(e^4)\) = \(4In(e)\)
= 4 x 1
= 4
The value of the expression ln(\(e^4\)) is 4.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The natural logarithm (ln) is the inverse function of the exponential function,
\(e^x\).
ln(\(e^4\)) = 4,
since ln(\(e^4\)) "undoes" the exponentiation of \(e^4\).
So the value of ln(\(e^4\)) is 4.
Thus,
The value of the expression ln(\(e^4\)) is 4.
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Please solve (20 points)
Answers
Answer:
104.65 m
Step-by-step explanation:
The plane with the smaller angle of depression is closer to the raft.
Taking the tan values of both planes :
Plane 1 (57°)
tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)Plane 2 (48°)
tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)Equate Equations 1 and 2 :
3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 mTaking the sin ratio to find distance :
sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 mLast season Emily soccer team how to win loss ratio of 9 to 12 and Grant soccer team how to win loss ratio of 10 to 15 who’s team has a higher ratio of wins to losses use complete sentences to explain your reasoning
Answers
The Emily soccer team has the higher ratio of wins to losses.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of win to loss of Emily soccer team = 9 : 12
Ratio of win to loss of Grant soccer team = 10 : 15
9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60
10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60
If 60 games are losses, then 45 games are wins for Emily soccer team.
If 60 games are losses, then 40 games are wins for Grant soccer team.
Higher ratio is for Emily soccer team.
Hence higher ratio of wins to losses is for Emily soccer team.
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Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.
(−4,5) , (1,−4)
Answers
The equation of the line that passes through (-4, 5) and (1, -4), in slope-intercept form, is: y = -9/5x - 11/5.
How to Find the Equation of a Line in Slope-intercept Form?To find the equation of a line that passes through two points, first, use the two points to find the slope (m) of the line, then find the y-intercept (b) and plug in the values into the equation, y = mx + b, which is the slope-intercept form.
Given the two points:
(−4,5)(1,−4)Slope (m) = change in y / change in x = (-4 - 5) / (1 - (-4))
Slope (m) = -9/5
Find the y-intercept, b, by substituting m = -9/5 and (x, y) = (1, -4) into y = mx + b:
-4 = -9/5(1) + b
-11/5 = b
b = -11/5
To write the equation, substitute m = -9/5 and b = -11/5 into y = mx + b:
y = -9/5x - 11/5
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9. Standardized Test Practice Vanessa needs of a length
of board to build a birdhouse. If she has 6 boards, how many
birdhouses can she make?
B 6
A 33
C 10
D 18
Answers
A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
Answers
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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