Supposing a band of 20 members, we have that the probabilities are given as follows:
All have different birthdays: 0.9466 = 94.66%.There is a birthday coincidence: 0.0534 = 5.34%.What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 20, as the band has 20 members.p = 1/365, as the year has 365 days, hence the probability of a person having a given day as a birthday is of 1/365.The probability that all members have different birthdays is of P(X = 0), hence:
P(X = 0) = (1 - 1/365)^20 = 0.9466.
Hence the probability that there is a birthday coincidence is of:
P(X > 0) = 1 - P(X = 0) = 1 - 0.9466 = 0.0534.
Missing InformationThis problem is incomplete, hence we suppose a band of 20 members.
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Translate this sentence into an equation.
45 is the sum of 19 and Victor's score
Answer:
Victors score= v
19 + v =45
6 kids shared 4 1/2 candy bars, how much did each kids get
Answer: They each got 3/4 candy bars. (0.75 candy bars)
Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23. 65. How many dollars would he get at this rate for recycling 200 pounds of cans?
The rate of recycling 200 pounds of cans based on the mentioned information is $110.
Firstly calculating the cost of cans per pounds. Then we will proceed to actual calculation about rate of recycling 200 pounds.
Cost of recycling one pound of can = total cost ÷ number of recycled cans
Keep the values in formula
Cost of recycling one pound of can = 23.65/43
Performing division
Cost of recycling one pound of can = 0.55
Cost of recycling 200 pounds of cans = 0.55 × 200
Performing multiplication
Cost of recycling 200 pounds of cans = 110
Therefore, the required rate is $110.
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How do you find the base and height of an isosceles triangle?
The base and height of an isosceles triangle can be found by using the Pythagorean theorem.The hypotenuse is also the base of the triangle.
First, you need to determine the length of the two sides that are equal, which are referred to as the "legs" of the triangle. Then, use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the triangle.
Once you have determined the length of the hypotenuse, the height of the triangle can be found using the formula, h = √(b^2 - (l/2)^2). In this formula, b is the length of the hypotenuse, and l is the length of the legs.
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A survey of 100 high school students provided this frequency table on how students get to school: What is the probability that a randomly selected student is a senior or a student who drives to school? [ ? P(Senior U Drive to school) Remember to reduce your answer.
Answer:
I am kind of brain dead I haven't did this type of math for a long time but I am pretty sure the answer is 1/7.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
List 3 whole numbers immediately after 10
The answer is 11, 12, 13
best buy has a sale on video games and dvds for labor day weekend Katie bought 2 games and 3DVD's and spent $134 dollars Emily bought 1 less game but 2 more DVD's and spent $179 how much does each DVD and game cost
Each video game = $19 and each DVD = $ 32
What is equation?An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.
How to solve the equation as stated in the question?let, x denotes the cost of each video games.
y denotes the cost of each DVD
Katie bought 2 games and 3 DVD and total spent $134.
the equation can be written as 2x + 3y = $134 .......equation 1
Emily bought 1 less video game than Katie that means she bought 1 game.
and 2 more DVD than Katie that means 5 DVD bought by Emily.
total spent of Emily = $179
The equation will be x + 5y = $179...... equation 2
in order to solve the two equations by addition method
we multiply by 2 to the second equation.
2x + 10y = 358
the first equation 2x +3y = 134
2x + 10y = 358
- - -
by subtracting we get,
- 7y = -224
y = 32
from the 2nd equation we get x = -5×32 + 179
x = 19
each video game cost $ 19 and each DVD cost $ 32
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How many 1/3 cubes does it take to fill a box with a width of 2 2/3 inches length 3 1/3 inches and height 2 1/3
It takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
In Math's or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
It is also said to be a regular hexahedron.
We will convert the dimensions of the given box into simple fractions for easy calculations.
The dimensions of the given box:
Length = 3 + 1/3 inches = 10/3 inches
Breadth = 2 + 2/3 inches = 8/3 inches
Height = 2 + 1/3 inches = 7/3 inches
The side of each cube = 1/3 inches
Therefore,
The no. of cubes required to fill the box is,
= (volume of the box) / (volume of each 1/3 inch cube)
= ( 10/3 * 8/3 * 7/3 ) / (1/3)^2
= 10 * 8 * 7
= 560
Thus, it takes 560 of 1/3 inch cubes to fill a box with width 2 2/3 inches, length 3 1/3 inches, and height 2 1/3 inches.
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It’s my final I need help!!!
Answer:
m=28g
Step-by-step explanation:
560/20=28.4
it goes 28.4 miles per gallon so m=28g
These two figures are the image and pre-image of a
dilation.
Find the lengths of the missing sides.
X= 2.5
y = 5
You’re welcome :(
Answer:
The answer is 2.5 and 5
Step-by-step explanation:
The table shows the temperatures in degrees Fahrenheit and the number of tourists.
How do I do this and what's the answer? This one is tricky for me
I think you just need to mark the temperatures and amount of tourists there are.
Jacob is painting wooden blocks. He
has 11/12 of a quart of paint. Each
block needs % of a quart of paint.
How many blocks can he paint?
Answer:
,n n,
Step-by-step explanation:
Answer:
hope this helps A: 78%
Step-by-step explanation:
the current ratio of Sara's sales to Ravi's sales is 100:2 would you earn a greater total commission with Sara or Ravi?
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
One would earn more if one apprenticed for Sara as a professional artist as evident judging from the current sales ratio and commission rates.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
Ultimately, one would earn more if one apprenticed for Sara.
Complete question; Sara's pieces of art sell for $25 each your commission is 60%.
Ravi's pieces of art sell for $2000 each and your commission is 25%.
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Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
Equation: What is it?A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.
Here,
Any equation can be changed to intercept form by dividing by the constant on the right:
=> x/3 + y/3 =1
=> x/1.2 + y/(-1) = 1
These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.
Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:
=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1
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Find the area of each
Answer:
176/77 is the answer I think so
Answer:
look at the picture I sent
What is the secret calculator app?
The secret calculator app is used to protect confidential Photos, Videos, Documents, Passwords, Notes, Contacts and To Dos.
The term calculator is referred as a device that performs arithmetic operations on numbers and it does the basic calculators can do only addition, subtraction, multiplication and division mathematical calculations.
Here we need to find definition and the usage of secret calculator app.
As per the definition of calculator here we know that the app is used to acts like a photo vault to store all password protected files, and can only be viewed inside the app.
As the user who is unaware of this app you will never expect a simple calculator looking app is used to hide files.
Here if you want to access this you will need the password to open the photos from your child.
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I already got the answers for these but I wanted to check them. I’m supposed to find the area and use 3.14 for pi. Thanks.
Answer:
10.
A = 12² - 2(6×5)
A = 144 - 2×30
A = 144 - 60
A = 84 in²
11.
A = π(12/2)² - (π3² + 3×6)
A = π36 - (π9 + 18)
A = π36 - (π3² + 18)
A = 113.04 - (28.26 + 18)
A = 66.8 yd²
12.
A = 9² - (10×2 + π3²)
A = 81 - (20 + 28.26)
A = 81 - 48.26
A = 32.7 m²
Is 10 12 15 a right triangle?
No, 10, 12, and 15 are not the lengths of the sides of a right triangle.
A right triangle is a triangle with one 90 degree angle. The other two angles must be acute angles (less than 90 degrees).
The Pythagorean Theorem is a formula used to determine if three given side lengths can form a right triangle. The Pythagorean Theorem states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side, also known as the hypotenuse.
In this case, the side lengths of the triangle are 10, 12, and 15. Therefore, the Pythagorean Theorem can be written as:
10^2 + 12^2 = 15^2
100 + 144 = 225
244 ≠ 225
Therefore, 10, 12, and 15 are not the side lengths of a right triangle.
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Two bags contain marbles. Bag A contains 110 marbles, and Bag B contains 160 marbles. What percent fewer marbles does Bag A has than Bag B?
Bag A as required by the task content has 31.25 percent fewer marbles than Bag B.
How much as a percent is the number of fewer marbles in Bag A as that in bag B?It follows from the task content that the percent fewer marbles which Bag A has relative to Bag B is to be determined.
As given in the task content; Bag A contains 110 marbles, while Bag B contains 160 marbles.
On this note, the difference between the number of marbles is; 160 - 110 = 50 marbles.
Hence, the percent of fewer marbles in Bag A relative to Bag B is;
= ( 50 / 160 ) × 100%
= 31.25%.
Therefore, Bag A has 31.25% fewer marbles than Bag B.
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ILLL GIVE YOU SO MANY POINTS (50 IF YOU ANSWER CORRECTLY AND MARK YOU BRAINLIEST BUT IF YOU DONT I WILL FLAG YOU
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside larger triangle and outside smaller triangle) =
Answer:
Given:
Area of a triangle = (h*b) / 2
Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²
Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²
30cm² - 8cm² = 22cm²
Probability that the point is inside the large triangle but outside the small triangle:
22cm² / 30cm² → 11/15 → 0.73 or 73%
Answer:
answering so you can give the other person brainiest! :0
Step-by-step explanation:
thanks for the points!
Marcos needs to buy a piece of fabric with a length of 1.3 meters. The fabric costs $0.45 per inch.
2.54cm $0.45
Marcos determines the calculation as 1.3m (100 cm -) ( :)
= 148.59
lin
lin.
What is the error in Marcos' reasoning, and how much will the fabric cost?
CA Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.
B
Marcos made an incorrect conversion from centimeters to inches. The correct price is $14.86.
С
Marcos made an incorrect conversion from meters to centimeters. The correct price is $23.03.
D
Marcos made an incorrect conversion from meters to centimeters. The correct price is $14.86.
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. Option C is correct.
What is the error?An error is a mistaken or erroneous action. In some contexts, an error is interchangeable with a mistake.
The discrepancy between the calculated value and the correct value is referred to as an “error” in statistics.
The length of fabric= 1.3 meters.
Cost of fabric=$0.45 per inch
1 meter =39.3701 inch
1.3 meter =1.3 × 39.3701 inch
1.3 meter = 51.18 inch
Cost of fabric per unit length(inch);=$0.45
The cost of the fabric is;
Cost of fabric=$0.45 ×51.18 inch
Cost of fabric=$23.03
Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03. The fabric cost will be, $23.03
Hence,option C is correct.
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Alex rents a car for one day . The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30 . How many miles can he drive?
Answer:
He can drive 100 Miles
Step-by-step explanation:
$30-$18 is what we can spend on milage
$12/0.12=100
Hope this helps! If it did, can you mark me as Brainliest please?
Find the product: 0.054 x 0.3 = ? OA. 0.162 ( B. 0.62. O c. 0.0162 O D. 0.00162
Answer:
0.0162 is the answer.
Step-by-step explanation:
Finding the product in math means multiplication.
0.054 x 0.3 = 0.0162
y= x^2+6x+4
axis of symmetry:
vertex:
Answer:
vertex (-3,-5) axis of symmetry x = -3
Step-by-step explanation:
Find the value of angle z. Need ASAP. STEP BY STEP
Answer:
71 degrees
Step-by-step explanation:
y=19 degrees
z and y=90degrees
90 _19 to get y
A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
0.05
5.0
0.50
0.55
Answer:
0.50
Step-by-step explanation:
3+3+6=12
6 is half of 12
50% in decimal form is .50
help.pls it is urgent.
Answer:
b=50
c=28
a=16
Step-by-step explanation:
i need help ASAP!!!!! this is graded and plzzzzz no links!!!!!!!!
Answer:
The formula of a trapezoid is:
B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)
In this case 9 and 3 are your bases so add them together to get 12.
Now we multiply 12 to the height! 12 x 3(height) = 36. Now we multiply 36 to 1/2 which is just dividing by 2, so 36 divided by 2 = 18
What is the degree of this polynomial? y=5x^2 + 3x^6 -10x-8
Reason: The degree is the largest exponent.
This rule only works when dealing with single variable polynomials.
The standard form is y = 3x^6+5x^2-10x-8; where the largest exponent term goes first, then the next largest, and so on.
i need help with this please