Answer:
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
Step-by-step explanation:
Given
[tex]n(2019)= 3[/tex]
[tex]n(2001)= 2\\[/tex]
[tex]n(2008)= 2[/tex]
[tex]n = 7[/tex] --- total
Required
[tex]P(Not\ 2019)[/tex]
When two quarters not minted in 2019 are selected, the sample space is:
[tex]S = \{(2001,2001),(2001,2008),(2008,2001),(2008,2008)\}[/tex]
So, the probability is:
[tex]P(Not\ 2019) = P(2001,2001)\ or\ P(2001,2008)\ or\ P(2008,2001)\ or\ P(2008,2008)[/tex]
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(2001,2001) = P(2001) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2001) = \frac{n(2001)}{n} * \frac{n(2001)-1}{n - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2001,2001) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2001,2001) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2001) = \frac{1}{21}[/tex]
[tex]P(2001,2008) = P(2001) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2001,2008) = \frac{n(2001)}{n} * \frac{n(2008)}{n - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2001,2008) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2001,2008) = \frac{2}{21}[/tex]
[tex]P(2008,2001) = P(2008) * P(2001)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2001) = \frac{n(2008)}{n} * \frac{n(2001)}{n - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{7 - 1}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{2}{6}[/tex]
[tex]P(2008,2001) = \frac{2}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2001) = \frac{2}{21}[/tex]
[tex]P(2008,2008) = P(2008) * P(2008)[/tex]
Since it is a selection without replacement, we have:
[tex]P(2008,2008) = \frac{n(2008)}{n} * \frac{n(2008)-1}{n - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{2-1}{7 - 1}[/tex]
[tex]P(2008,2008) = \frac{2}{7} * \frac{1}{6}[/tex]
[tex]P(2008,2008) = \frac{1}{7} * \frac{1}{3}[/tex]
[tex]P(2008,2008) = \frac{1}{21}[/tex]
So:
[tex]P(Not\ 2019) = P(2001,2001) + P(2001,2008) + P(2008,2001) + P(2008,2008)[/tex]
[tex]P(Not\ 2019) = \frac{1}{21} + \frac{2}{21} +\frac{2}{21} +\frac{1}{21}[/tex]
Take LCM
[tex]P(Not\ 2019) = \frac{1+2+2+1}{21}[/tex]
[tex]P(Not\ 2019) = \frac{6}{21}[/tex]
Simplify
[tex]P(Not\ 2019) = \frac{2}{7}[/tex]
what is the factor of x^2 + 2x - 3
Answer:
(x + 3)(x - 1)
Step-by-step explanation:
Given
x² + 2x - 3
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) ← in factored form
What is the factor of x² + 2x - 3
Solution:-x² + 2x - 3[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0
[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0
[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0
[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1
So, x = -3 and 1
The factor of x² + 2x - 3 is -3 and 1. [Answer]What is the value of x????
Answer:
[tex] \cos(30) = \frac{ \sqrt{3} }{2 } = \frac{4 \sqrt{3} }{x} \\ x = 8 \sqrt{3} \div \sqrt{3} = 8[/tex]
Answer:
x = 8
Step-by-step explanation:
√3 4√3
Note that cos 30 degrees (which is ---------) equals ---------
2 x
which simplifies to:
1 4
---- = -----
2 x
so that x = 8
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
Scott works on cars. He charges $35 for each car plus $13 per hour. Yesterday he worked for 5 hours on 3 different cars. How much money did he make?
Answer:
170
Step-by-step explanation:
35 x 3cars= 105 13 x 5hours= 65 105+65= $170
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm
Need help fast what are values of x and y
Answer:
y = 52
x = 5
Step-by-step explanation:
14 x + y = 122
y = 52
x = 5
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
what's your answer??>????????????????????????
Answer and Step-by-step explanation:
The answer is parallelograms.
This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.
#teamtrees #PAW (Plant And Water)
Answer:
parallelogramsStep-by-step explanation:
As,
In the picture there is a parallelogram, rhombus, rectangle and a square.
We know,
Properties of parallelogram:-
Opposite sides are equal and parallel Diagonals bisect each other.Sum of any two adjacent angles is 180°All the above conditions are also same In a rhombus, rectangle and a square.
Hence,
Parallelogram best describes all the above shapes
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
Can someone give me the equation on this and or how to right it A number is 7 more than 5 times another number and their difference is 78 Find the numbers
Answer:
(x is number)
x=7>5
Step-by-step explanation:
hope this helps
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
A random variable X follows a Binomial distribution; i.E. X ~ B(12, p) with a variance of 1.92. Compute the possible values of p
==================================================
Explanation:
Any binomial distribution has two unique components to it: The number of trials n, and the probability of success p.
We're given n = 12, and we need to find p.
The variance of a binomial probability distribution is given by the formula n*p*(1-p). Plug in n = 12 and set this equal to 1.92
So the equation to solve is 12p*(1-p) = 1.92
Solve for p using a graphing calculator or you could apply the quadratic formula. Either way, you should get the two results of p = 0.2 and p = 0.8
Note that if p = 0.2, then 1-p = 1-0.2 = 0.8, and things flip around when p = 0.8.
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
Learn more about Surface area from:
https://brainly.com/question/2835293
#SPJ5
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
Evaluate the equation
83.49 = 3.3x
How did you get your answer?
Answer:
x = 25.3
Step-by-step explanation:
83.49 = 3.3x
divide both sides by 3.3
x = 25.3
what kind of triangle is shown
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
MRP of pen drive is reduced from rupees 872 rupees 580 find the present age reduction in price......my explain me step by step.....
Answer:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
Step-by-step explanation:
Answer:
Step-by-step explanation:
the money reducted = 1870 - 580
= 1290
now the percentage = 1290/1870 x 100
= 68.9%
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
20 Alex and Chris share sweets in the ratio Alex : Chris = 7:3.
Alex receives 20 more sweets than Chris.
Work out the number of sweets Chris receives.
Answer:
Alex:Chris 35:15
Step-by-step explanation:
7-3 (ratios)= 4
20 sweets= 4:1
20÷4= 5
5×7= 35 (how many sweets Alex got)
5×3= 15 (how many sweets Chris got)
Alex got 20 more sweets than Chris
(sorry if you didn't understand how I explained it)
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
If one side of a regular pentagon is represented by 3x + 1 , what is the perimeter of the pentagon?
Answer:
5(3x+1) or 15x+5
Step-by-step explanation:
A regular pentagon has 5 sides of equal length. The perimeter is the sum of the lengths of those sides. We can use multiplication to find the sum of 5 of the same value:
P = 5(3x +1)
Perhaps you want it expanded. Using the distributive property, we multiply each term in parentheses by 5:
P = 15x + 5