Answer:
Step-by-step explanation:
From the given information:
There are 30 collections of gems, of which 8 are worthless;
Thus, the number of the genuine diamonds = 30 - 8 = 22.
Let X = random variable;
X consider the value as 0 (for 2 worthless stone selection),
X = 1200(1 worthless stone & 1 genuine stone)
X = 2400 (2 genuine stones selected)
However, the numbers of ways of selecting and chosen Gems can be estimated as:
[tex](^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435[/tex]
Thus;
[tex]Pr (X = 0) = \dfrac{(^8_2)}{435}[/tex]
[tex]Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644[/tex]
[tex]P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}[/tex]
[tex]P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}[/tex]
[tex]P(X =1200) = \dfrac{ (8) ( 22) }{435}[/tex]
[tex]P(X =1200) =0.4046[/tex]
[tex]Pr (X = 2400) = \dfrac{(^{22}_2)}{435}[/tex]
[tex]Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310[/tex]
To find E(X):
E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)
E(X) = 0 + 485.52 + 1274.4
E(X) = 1759.92
What is the approximate difference in average daily miles between the two weeks?
a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece
Answer:
6.25 meters
Step-by-step explanation:
25/4 = 6.25
Length of each cut piece is 6.25 m.
What is division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given
A length of 25 meters cut the string in 4 pieces of equal length.
= [tex]\frac{25}{4}[/tex]
= 6.25
Length of each cut piece is 6.25 m.
Find more information about division here
https://brainly.com/question/5805897
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monkeeeeeeeeeeeeeeeeeeeeeee also help
[tex] \frac{9}{27} = \frac{1}{3} [/tex]
This is the simplest form of the fraction.
9/27 9 Council it self 1 and goes into 27 three times so the answer will be 1/3.
Find the product of
(−9−11i) and its conjugate.
Answer:
202
Step-by-step explanation:
First, we can find the conjugate of (-9 -11i)
Given a complex number a + bi, the conjugate would be a - bi.
So, the conjugate of -9 -11i is -9 + 11i.
Now, we multiply!
(-9-11i)(-9+11i)
This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2
To apply this we subtract the square of the second number from the first.
(-9)^2 - (11i)^2
81 - 121i^2
i^2 is -1, so we can substitute it in:
81 + 121 = 202
I don’t understand how to solve this. Please explain the steps. Thanks.
Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
[tex]\sqrt[5]{x^3}[/tex]
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
[tex]\sqrt[5]{x^4}[/tex]
This matches none of the answers shown, so the answer is none of the above or D.
Answer:
D
Step-by-step explanation:
The answer would be 5 square root x^4
See Image Below:)
Help with this question!Please
Answer:
x = 14 for the first one, x = 60 for the second one
Step-by-step explanation:
Step-by-step explanation:
We know the measure of a straight line is 180° . So that ,
> 5x - 10 + 120 = 180
> 5x = 60 + 10
> 5x = 70
> x = 70/5
> x = 14
Solution 2 :-
> x + 50 + 70 = 180
> x = 180 - 120
> x = 60
Answer quickly! It very urgent
Answer: Because the graphs of the two equations overlap each other
Step-by-step explanation:
Every point on the first line also satisfies the second equation.
This is the same as equivalent fractions
where 1/2 = 2/4 = 3/6 = 4/8
Graphing these on a number line would only show one dot.
help what's 1x1+9x20
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
30 points!!! Please help!!! This really affects my grade! I need a final answer not a guess. Thank you very much. I really appreciate it. Links will be reported!
A company produces millions of 1-pound packages of bacon every week. Company specifications allow for no more than 3 percent of the 1-pound packages to be underweight. To investigate compliance with the specifications, the company's quality control manager selected a random sample of 1,000 packages produced in one week and found 40 packages, or 4 percent, to be underweight. Assuming all conditions for inference are met, do the data provide convincing statistical evidence at the significance level of α= 0.05 that more than 3 percent of all the packages produced ir one week are underweight?
a. Yes, because the sample estimate of 0.04 is greater than the company specification of 0.03.
b. Yes, because the p-value of 0.032 is less than the significance level of 0.05.
c. Yes, because the p-value of 0.064 is greater than the significance level of 0.05.
d. No, because the p-value of 0.032 is less than the significance level of 0.05.
e. No, because the p-value of 0.064 is greater than the significance level of 0.05.
Answer:
We accept H₀ we don´t have enough evidence to support that more than 3 % of the packages are undeweight
Step-by-step explanation:
Sample size n = 1000
x ( defective packages found) = 40
p = 40 /1000 p = 0,04 p = 4 % then q = 0,96
np = 0,04 * 1000 and nq / 0.96 * 1000 both greater than 5
Then we can use the approximation of binomial distribution to normal distribution.
α is significance level α = 0,05
From z- table we find z(c) for α = 0,05 z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p = 0,03
Alternative Hypothesis Hₐ p > 0,03
We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution
To calculate z(c) = ( 0,04 - 0,03 ) / √ ( p*q)/n
z(c) = 0,01 * 31,62 / √ 0,04*0,96
z(c) = 0,3162 / 0,1959
z(c) = 1,6140 z(c) ≈ 1,61
Comparing z(s) and z(c)
z(c) > z(s) 1.64 > 1.61
Then z(s) is in the acceptance region for H₀ we accept H₀
If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.
Answer:
[tex](-5,-4)[/tex]
Step-by-step explanation:
Given
[tex]P = (5,4)[/tex]
Rotation: 180 degrees counterclockwise
Required
P'
Rotation: 180 degrees counterclockwise
The rule is:
[tex](x,y) \to (-x,-y)[/tex]
So: [tex]P = (5,4)[/tex] becomes
[tex](5,4) \to (-5,-4)[/tex]
-2c + 8 - 7c - 6 -5c + 14 -5c + 14 -9c + 2 -9c + 2 9c - 14 9c - 14 5c + 14 5c + 14
Answer:
= -152c + 32
Step-by-step explanation:
sry if wrong
R, S, and T represent the lengths of the three sides of a right triangle. Select the equation that represent the relationship between R, S and T. (the two's are exponents)
a. R 2+ S 2= T 2
b. R 2+ T 2 = S 2
c. R 2 + R 2= S 2
d. T 2 + S 2= R 2
e. T 2- S 2= R 2
Answer:
a. R 2+ S 2= T 2
Step-by-step explanation:
Is this multiple choice? If not, then I will explain my answer.
I would say that it is R² + S² = T² because, the original pythagorean theorem equation is a² + b² = c².
They are put in an alphabetical order, a, b, c.
R goes first in the alphabet, then S and T. So, that's why I say it is:
R² + S² = T²
I hope this helps! Please tell me if I'm incorrect! Have a great day may God bless you!
(Also, if you have a keyboard like mine, then you can make an exponent 2, by doing alt + 0178 )
² <-or just cut and paste this
The figure shows a right triangle RQT with
mZQRT = 50°. It is attached to rectangle
PQRS, where PT = 84 cm and SR = 56 cm.
Find
a) QT
b) RQ
c) RT
d) SP
e) m angle T
Answer:
QT 28 RQ 50 RT SP50 i belive
Step-by-step explanation:
please help and hurry!
Answer:
a-16 and a half c-12
Step-by-step explanation:
write equation that represents the balance hanger above 6x+15=4x+20 unit 1
Answer:
x = 5/2
Step-by-step explanation:
6x+15=4x+20
Collect like terms
6x - 4x = 20 - 15
2x = 5
x = 5 / 2
Find the length of missing side BC and AC.
Best answer gets brainliest!!!
Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
what is matter and it function
Answer:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.
Step-by-step explanation:
In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.
3350 5654 10.. can anyone guess the last two numbers?
Need help ASAP. Don’t understand how to do this
Answer:
0.088
Step-by-step explanation:
Given two cylinders
Volume of one = 64cm^3
Volume of the other = 729cm^2
Scale factor = Volume of the small/Volume of the large
Scale factor = 64:729
Scale factor = 0.087
40 points! Determine the area of the figure below round to the nearest hundredth
Answer: 60 + 13 sqrt 10
the top part adds up to 10 and the bottom part is 13
so you get a 7-3-2 sqrt 10 triangle to the left
the area of that is 3 sqrt 10
the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10
the area of the big vertical rectangle is 5*12 which is 60
so you add them up
60 + 13 sqrt 10
determine the value of the expression 4^3 x 4^ -6
A) -12
B)-1/12
C)64
D)1/64
Answer:
D) [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
The -6 will never make it negative, just divide instead if multiply
(4x4x4) x (4÷4÷4÷4÷4÷4)
Complete the ordered pair so it is a solution of 3x+2y=36. (6, )
Answer:
9
Step-by-step explanation:
Plug in 6 to x, since this is the x-value in the ordered pair.
[tex]3(6)+2y=36\\18+2y=36\\2y=18\\y=9[/tex]
Answer:
(6, 9)
Step-by-step explanation:
3x + 2y = 36
Substitute 6 into the equation to get the output.
3(6) + 2y = 36
Multiply 3 and 6.
18 + 2y = 36
Subtract 18 from both sides.
2y = 18
Divide both sides by 2.
y = 9
The ordered pair when x = 6 is
(6, 9)
If f(x) = x - 9 and g(x) = -6x - 3,
which statement is true?
Click on the correct answer.
-1 is in the domain of fºg.
-1 is not in the domain of fºg.
9514 1404 393
Answer:
-1 is in the domain of fºg
Step-by-step explanation:
Both functions are odd-degree polynomials (as written here), so both functions have a domain and range of "all real numbers."
-1 is in the domain of f(g(x))
Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each person 1/16 of a pound, how many people can he give to? Show your work.
Answer: 14
Step-by-step explanation:
1/16x = 7/8
x = 7/8*16/1 = 14
He can sell his candy
Give away to people.
There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?
Answer:
10
Step-by-step explanation:
NO LINKS!!!! Find each measurement indicated. Round your answer to the nearest tenth. Part 2c
9514 1404 393
Answer:
BC = 24.0AC = 26.0m∠B = 73.4°m∠B = 30.0°Step-by-step explanation:
The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.
This post has 2 kinds of problems.
1) 2 angles and the side between them are given.
2) 2 sides and the angle opposite the longest is given.
For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.
For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.
Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.
_____
1) BC = 24.0
2) AC = 26.0
3) m∠B = 73.4°
4) m∠B = 30.0°
__
In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.
For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))
_____
Additional comment
In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.
Which graph represents the equation y=-
--*x+3?
B)
t
Answer:
The correct answer would be the 3rd graph!
Hope this helps!
8
4
A gold bar is similar in shape to a rectangular prism. A gold bar is
7 1
approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,
about how much is one gold bar worth? Use the formula w 11.15n, where w
is the weight in ounces and n=volume in cubic inches, to find the weight in
ounces. Explain how you found your answer.
Answer:
[tex]Worth = \$284258.1[/tex]
Step-by-step explanation:
Given
[tex]Dimension: 7in\ * 3in\ * 1in[/tex]
[tex]Value = \$1214/oz[/tex] ---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar
[tex]n = 7in * 3in * 1in[/tex]
[tex]n = 21in^3[/tex]
Next, calculate the weight of the gold bar using:
[tex]w = 11.15n[/tex]
[tex]w = 11.15 * 21[/tex]
[tex]w = 234.15oz[/tex]
Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.
[tex]Worth =Value * w[/tex]
This gives:
[tex]Worth = \$1214/oz * 234.15oz[/tex]
[tex]Worth = \$1214 * 234.15[/tex]
[tex]Worth = \$284258.1[/tex]
UYK
♡ The size of a rhombus is half the longer diagonal.
The height of the ronbus is 3cm
and
the area is 21cm². Find the length of the longer
diagonal
Answer:
Step-by-step explanation:
Area = height × side
21 = 3 * side
side = 7 cm
The side of a rhombus is half the longer diagonal
longer diagonal = 2*side =2*7=14cm