Answer:
The probability that the 3rd defective mirror is the 10th mirror examined = 0.0088
Step-by-step explanation:
Given that:
Probability of manufacturing a defective mirror = 0.075
To find the probability that the 3rd defective mirror is the 10th mirror examined:
Let X be the random variable that follows a negative Binomial expression.
Then;
[tex]X \sim -ve \ Bin (k = 3 , p = 0.075)\\ \\ P(X=x)= \bigg (^{x-1}_{k-1}\bigg)\times P^k\times (1-P)^{x-k}[/tex]
[tex]= \bigg (^{10-1}_{3-1}\bigg)\times 0.075^3\times (1-0.075)^{10-3}[/tex]
[tex]= \bigg (^9_2\bigg)\times 0.075^3\times (1-0.075)^{7}[/tex]
[tex]= \dfrac{9!}{2!(9-2)!}\times 0.075^3\times (0.925)^{7}[/tex]
[tex]= \dfrac{9*8*7!}{2!(7)!}\times 0.075^3\times (0.925)^{7}[/tex]
= 0.0087999
≅ 0.0088
Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%
Answer: 5.3%
Step-by-step explanation:
The formula to compute rate of return is given by :-
Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]
[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]
Hence, his rate of return = 5.3%
Write the explicit rule for the given the sequence: 125, 25, 5, ...
Answer:
An=125(1/5)^n-1
Step-by-step explanation:
r=common ratio
A1= first term in the sequence
I hope this helps some
The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The given GP series is 125, 25, 5, ...
First term a = 125
Common ratio = 25/125 = 1/5
The nth term will be given as ar^(n-1)
Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".
For more information about the geometrical progression,
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Consider the line y=5x-3.
Find the equation of the line that is parallel to this line and passes through the point (2, -5).
Find the equation of the line that is perpendicular to this line and passes through the point (2, -5).
Answer:
y=5x-15, y=-1/5x-23/5
Step-by-step explanation:
Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.
We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.
y=5x+b
-5=5(2)+b
-5=10+b
b=-15
So the equation of the parallel line is y=5x-15.
Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.
We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.
y=-1/5x+b
-5=-1/5(2)+b
-5=-2/5+b
b=-23/5
So the equation of the perpendicular line is y=-1/5x-23/5.
(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?
Answer:
%50
Step-by-step explanation:
hope this helped luv!
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10
Answer:
∆DPL ~ ∆QAZ
Step-by-step explanation:
In the diagram given, the following can be deduced:
<D is congruent to <Q
<P is congruent to <A
<L is congruent to <Z
From these, looking at the letter arrangement, the similarity statement can be written as:
∆DPL ~ ∆QAZ
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only
Answer:are you taking AP calculus AB
Step-by-step explanation:
Answer:
A l and lll
my teacher helped me
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
9(2n+1) simplify expression I will mark brainliest correct answer
Answer:
18n+9 i think
Step-by-step explanation:
Question in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
A university wants to conduct a sample survey to determine the average number of students who earned a GPA higher than 3.5. Which of the following survey methods is most likely to produce valid results?
A. The university surveys students who earned less than a 3.5 GPA.
B. The university surveys every other student who earned more than a 3.5 GPA.
C. The university surveys 600 randomly selected students who attend the university.
D. The university selects one department and surveys all of its students
Answer:
C. The university surveys 600 randomly selected students who attend the university.
Step-by-step explanation:
The equation Y= -8x + 1,000
Answer:
-8
Step-by-step explanation:
search up this website for the steps:
symbolab is the website
Answer:
That is a false equation
Step-by-step explanation:
The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math
Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder
Please Help and be honest !
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who “binge-watch” were asked how many episodes is too many to watch in one viewing session. The results are displayed in the bar chart.
Is this Quantitive or Categorical?
--------------------------------------------------------------------------------------------------------------------------------
ALSO:
Explain how this graph is misleading.
A. The bars are various heights
B. The words at the end
C. The vertical axis doesn't show zero
D. None of the above
Answer:
D or C
Step-by-step explanation:
What 7 to the 2 power plus 6
Answer:
[tex]7^2+6[/tex]
7 to the 2nd power is 49
49+6
55
The explains why a x b = b x a and a + b = b + a.
Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
Prove that: 6^7-6^6+6^5 is divisible by 31
15 points!!!
Step-by-step explanation:
[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]
therefore it's divisible by 31
[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]6^7 - 6^6 + 6^5[/tex] s
Taking common factors.
[tex]6^5[/tex] (6² - 6 + 1)
[tex]6^5[/tex] (36 - 6 + 1)
[tex]6^5[/tex] x 31
This is divisible by 31.
Thus,
[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.
Learn more about expressions here:
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Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
Which symbol will make the number sentence true? 6/7 0.85
Answer:
6/7 > 0.85
hope this help
6/7 （） 0.85
=6/7 () 85/100
=6/7 （） 17/20
=120/140 () 119/140
∵120/140>119/140
∴6/7>0.85
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastA full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm
9514 1404 393
Answer:
33.5 minutes
Step-by-step explanation:
There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.
Using the first method, we have ...
335 -5t = 5t
335 = 10t
335/10 = 33.5 = t
It takes 33.5 minutes for the cans to have the same amount.
In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?
Answer:
Step-by-step explanation:
Let the amount of nickels be x
Let the amount of dimes be y
Let the amount of quarters be z
If the total collection amounts to $9.50, then;
x+y+z = 9.50 ..... 1
If there are four times as many quarters as nickels, then;
z = 4x .... 2
Also if there are 3 more dimes than nickels then;
y = x+3 .... 3
Substitute 2 and 3 into 1;
x + x+3 + 4x = 9.50
6x = 9.50 -5
6x = 4.50
x = 4.50/6
x = $0.75
Since y = x +3
y = 0.75 + 3
y = $3.75
Also, z = 4x
z = 0.75(5)
z = $3.0
Hence there are
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
You want to buy 4 pens, each costing 27 cents. How many dollar bills should you take to the store? im not in college btw lol
Answer:
108c so 2 dollar bills.
Step-by-step explanation:
Determine the total surface area of each right triangle-based prism
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²
Write the decimal equivalent for 6 1/9
Answer: 6.11
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
6 × 9 = 54
Step 2: Add the product you got in Step 1 to the numerator:
54 + 1 = 55
Step 3: Divide the sum from Step 2 by the denominator:
55 ÷ 9 = 6.111111
That's it folks! The answer to 6 1/9 in decimal form is displayed below:
6 1/9 ≈ 6.11
Answer b.
Hope this answer helps you
Answer: b 6 1/9 = 6.11
Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)
hope this helped!
plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]