The chance of finding a defective headset is 2.5%
How to determine the probability?The given parameters are:
Total = 280
No defects = 273
The number of defective headsets is:
Defective = 280 - 273
Evaluate
Defective = 7
The probability that a defective headset is selected is:
P(Defective) = 7/280
Express as percentage
P(Defective) = 2.5%
Hence, the chance of finding a defective headset is 2.5%
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Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years? a. $23,706 b. $23,377 c. $52,069 d. $58,944 please select the best answer from the choices provided a b c d
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]
[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]
Answer: Is (B) 23,377
Step-by-step explanation:
Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?
a.
$23,706
b.
$23,377
c.
$52,069
d.
$58,944
Please select the best answer from the choices provided
A
( B )
C
D
A square has an area of 4x² - 121.
What is the length of each side?
Answer:
2x - 11, 2x + 11
Step-by-step explanation:
The length of each side must multiply together to get [tex]4x^2 - 121[/tex] so have to factorise to make 2x-11 and 2x +11.
Pick the geometric term that matches the real-world object. cylinder cube sphere triangular prism rectangular prism
Answer:
cylinder
Step-by-step explanation:
A mascara tube is a cylinder
The diameter of a circle has endpoints (13,10) and (5,16) Part A: Find the center of the circle Part B: Find the distance of the radius Part C: Write the equation of the circle.
Answer:
See below ~
Step-by-step explanation:
Part A : Center
Midpoint of diameter pointsM = (13 + 5 / 2, 10 + 16 / 2)M = (9, 13)Part B : Radius
Half of the distance between the points16 - 10 / 26/2radius = 3Part C : Equation
(x - 9)² + (y - 13)² = 3²x² - 18x + 81 + y² - 26y + 169 = 9x² - 18x + y² - 26y + 241 = 0Which of the following options have the same value as 10% of 33?
Choose 3 answers:
0.1.0.33
® 10.33
©
1
10
33
0.1.33
10
100
33
3o
Answer:
1
Step-by-step explanation:
I REALLY need help I'll give anyone who can help me with any or all of these 50 points and brainliest
You deposit # 100 in a savings account that earns 6% annual interest compounded monthly. What
the balance after 5 years.
Answer:
$134.89.
Step-by-step explanation:
Monthly interest = 0.06/12 and its for 5*12 months.
Amount after 5 years = 100(1 + 0.06/12)^(5*12)
= 100(1 + 0.06/12)^60
= $134.89
What is the perimeter of the parallelogram?
Step-by-step explanation:
b×h1÷2 use this formulae
Please help me with the area !!! I’ll love you forever I swear OML
!!!40 POINTS AND BRAINLIEST!!! PLEASE SHOW WORK!!!
How much ribbon would be needed to go around a package that had a length [tex]2x^2+3x-5/x^2+x-3[/tex] centimeters and width [tex]x^2-x-5/x^2+x-3[/tex] centimeters?
(SHOW YOUR WORK IF YOU CAN)
Answer:
(6x² +4x -20)/(x² +x -3) cm
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of its length and width. Here, length and width are rational functions. The same relation to perimeter applies.
__
[tex]P = 2(L+W)\\\\P=2\left(\dfrac{2x^2 +3x-5}{x^2+x-3}+\dfrac{x^2-x-5}{x^2+x-3}\right)\qquad\text{use given values for $L$ and $W$}\\\\P=2\left(\dfrac{2x^2+3x-5+x^2-x-5}{x^2+x-3}\right)=\dfrac{2(3x^2 +2x-10)}{x^2+x-3}\\\\P=\dfrac{6x^2+4x-20}{x^2+x-3}\\\\\underline{\ \qquad}\\\\\textsf{It would take $\dfrac{6x^2+4x-20}{x^2+x-3}$ cm of ribbon to go around the package.}[/tex]
How can a student find how much sand a sandbox can hold if it is 50 inches wide, 67 inches long, and can be filled up to 9 inches deep?
A.
use [2(50) × 2(67) × 2(9)] in3
B.
use (50 × 67 × 9) in3
C.
use (50 + 67 + 9) in3
D.
use [2(50) + 2(67) + 2(9)] in3
Answer:
B
Step-by-step explanation:
You would use the formula Length×Width×Height
In this question the length would be 67 in
The height would be 9 in
And the width would be 50 in
The unit of measure is inches
Cubed because this is a 3-dimesional shape
So the answer would be (50×67×9) in³
Students must purchase a ticket to attend the show. the committee wants to
have $500 remaining from ticket sales, after paying for equipment, lighting,
and costumes.
the tickets will cost $5.60 for each ticket, and the committee expects to sell
as many tickets as there are seats available.
what is the greatest amount of money, in dollars, the committee can spend
on equipment and costumes?
Answer:
The total number of seats is also needed to answer the question.
Step-by-step explanation:
For example, if there were 100 seats the committee would make $560 in all, therefore having $60 to spend on equipment and costumes.
HELP ASAP GIVING BRAINLIEST PLEASE HELP FAST
Answer:
Step-by-step explanation:
We find a like term and that is 33 so we mutiply 2/3 by 11 and we get 8 22/33 and do the same to 1 10/11 and we get 1 30/33
8 22/33- 1 30/33 since we can do that we give 22 an extra 33
so 7 55/33 - 1 30/33 (just like subtracting we borrow.)
=6 25/33
Basically i converted 1 of the 8 into a fraction which was 33 and added it to 22 which got me 55 from their it was just a basic subtraction problem. think of what i did like this 43-
34
that wont work so you borrow a 1
A polygon GHIJ is inscribed in a circle. If m angle G H I equals 72 degree and m angle H I J equals 60 degree, what is m angle I J G?
A circle with an inscribed polygon G H I J.
m angle I J G equals _(blank)_ degree
The measure of angle IJG in the inscribed quadrilateral is calculated as: 110°.
What are the Opposite Angles of an Inscribed Quadrilateral?The opposite angles in a inscribed quadrilateral in a circle are said to be equal to 180 degrees, that is, they are supplementary.
angle IJG and angle GHI are opposite angles, therefore:
Angle IJG = 180 - angle GHI
Angle IJG = 180 - 70
Angle IJG = 110°
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In a class of 25 students, 6 are female and 8 have an A in the class. There are 13
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class is a male who does not have an A?
The probability that a student chosen randomly from the class is a male who does not have an A is 0.52
How to determine the probability?The given parameters are:
Students = 25Female = 6Students with A = 8Male students without A = 13The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:
P = 13/25
Evaluate
P = 0.52
Hence, the probability is 0.52
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This is geometry but I forgot how to do the equations
Answer:
Step-by-step explanation:
Those are the special triangles 45-45-90 and 30-60-90
6. y = 5 and x = 5sqrt(2)
7. y= 8 and x = 8sqrt(3)
8. x = 10sqrt(2)
What is the 12th term of the sequence -2,-4,-6,...........-100?
Answer:
-24
Step-by-step explanation:
The common difference (D) is -2. And A1 is -2. so if you just add -2 to the geometric sequence until A12, you would get -24.
Feeling anxious about another pandemic induced run-on toilet paper, Mrs. Phillips is making room in a closet for hording Angel Soft toilet paper. Using the Fermi process, she wants to estimate the number of rolls of toilet paper she can fit into a rectangular section of a closet with dimensions of length 36 inches, width 36 inches, height 108 inches.
One Angel Soft MEGA roll has a diameter 5 inches, height 3.75 inches.
About how many Angel Soft MEGA rolls can be fit into the closet space?
Show all math work needed to complete this problem.
For closet
It's a rectangle
L=36inB=36inH=108inVolume
LBH36²(108)(36)³(3)139968in³For rolls:-
Cylindrical body
radius=r=5/2=2.5inHeight=h=3.75inVolume:-
πr²hπ(2.5)²(3.75)π(6.25)(3.75)73.6in³Total rolls:-
Volume of closet /Volume of rolls139968/73.61901.71902 rollsAnswer:
1372
Step-by-step explanation:
Rectangular closet dimensions:
length = 36 inwidth = 36 inheight = 108 inModelling the roll of toilet paper as a cylinder with dimensions:
diameter = 5 inheight = 3.75 inIf we sit the rolls of toilet paper in the closet with their circular ends as their bases, then we can calculate the number of rolls that cover the base of the closet by dividing the length (and width) of the closet by the diameter of the toilet roll.
⇒ 36 in ÷ 5 in = 7.2 in
Therefore, we can fit 7 toilet rolls along the length and 7 toilet rolls along the width of the closet, meaning that we can fit 7 × 7 = 49 toilet rolls over the base of the closet.
Now calculate how many toilet rolls we can stack on top of each other.
To do this, divide the height of the closet by the height of the toilet roll:
⇒ 108 in ÷ 3.75 in = 28.8
Therefore, we can stack 28 layers of 49 toilet rolls in the closet.
So the total number of toilet rolls = 28 × 49 = 1372
There are other ways of stacking the toilet rolls in the closet (for example, turning them on their side), however, we cannot calculate the number of rolls the closet fits by simply dividing the volume of the closet space by the volume of a toilet roll, since the toilet rolls are cylinders and so there will always be some space between them.
Ron made 16 out of 25 baskets from the foul line. Using this data, predict the
number of baskets he will make from the foul line if he shoots 200 times?
A 64
r B. 72
C. 92
D. 128
Answer:
D. 128
Step-by-step explanation:
16 out of 25 is a 64% ratio.
Easy way to get that is there is 4 25s in 100. So do 16x4 and that's 64.
Now there is 2 100s in 200. We want out of 100 so we half it. 64 and 100.
Knowing this the answer is D. 128.
Hope this helps. Brainliest would be appreciated.
Answer:
D. 128
Step-by-step explanation:
[tex]\frac{16}{25} =\frac{x}{200}[/tex]
cross multiply:
[tex]25x = 3200[/tex]
divide both sides by 25:
x = 128
The diameter of a circle is 34 inches. What is the circle's circumference?
Answer:
Hello!!!
34pi or 106.81
Please read the explanation... it always helps... i promise...
Step-by-step explanation:
Alrighty the circle circumference states that... c = 2r pi
we need to find the radius which is always half of the diameter.... so 34/2=17
the radius is 17... now all we have to do is substitute 17 into the circumference formula...
(2)17 pi = 34pi OR 106.81
or you can do Diameter multiplied by pi since the diameter is basically the radius multiplied by two... there are multiple ways you could approach this problem...
i hope this helps!!!!!!!
The circumference of the circle is approximately 106.96 inches.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is πr².
We have,
The circumference C of a circle with diameter d is given by the formula:
C = πd
Substituting the given value of diameter, we get:
C = π(34) = 34π
Using an approximation of π as 3.14, we can calculate the approximate circumference as:
C = 34 × 3.14 = 106.96 inches
Therefore,
The circumference of the circle is approximately 106.96 inches.
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[tex]How could you rewrite 0.05 x 10 as a division equation
Answer:
Step-by-this may be done by rearranging the equation. First, we start with the given equation:
0.05*10 = 0.5
In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:
0.05 * 10 / 10 = 0.5/10
0.05 = 0.5/10ep
explanation:
How many 90° turns will the minute hand make between 9:00 and 10:00?
Answer:
It will make 4 90° turns, because each 1/4 turn or 15 minutes is 90°.
$3,759 at 11 7/8 % compounded monthly for 17 years and 7 months
Answer:
$ 30, 021.39
Step-by-step explanation:
3759( 1 + .11875/12 )^(211) = 30, 021.39
Help me I can’t seem to figure this one out
Answer:
See below
Step-by-step explanation:
Expand it a bit to see:
= [tex]\sqrt[5]{ 2^5 * 7 * x^5 * x^5 * x * y^5 * y^3}[/tex]
=[tex]2x^2y \sqrt[5]{7xy^3}[/tex]
What percent of 4c in each expression? *2a
The percentage of 4c that's the expression 0.04c will be is 1%.
How to calculate the percentage?From the complete information, we are told to calculate the percentage of 0.04c from 4c.
This will be calculated thus:
= 0.04c/4c × 100
= 0.01
= 1%
Therefore, the percentage is 1%.
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Can you help me with both questions ease? (ASAP)
Beth filled 24 jars with paint if each jar holds 1 pint of paint how many gallons of paint did beth use
Claire says that she can find the volume of any cylinder as long as she can measure the circumference and height is she correct
Answer:
Yes, she is correct. Volume of the cylinder is V = πr²h. Therefore we need height and radius to calculate the volume. Height is given and the radius can be calculated from the circumference.
Step-by-step explanation:
Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]
For the volume of the cylinder we need the radius of the circle and height of the cylinder. The height is already known.
We can find the radius from the circumference.
Cirumference of the circle
[tex]C = 2 \pi r[/tex]
We can get the radius from rearranging the equation.
[tex]r = \frac{C}{2 \pi}[/tex]
Since C (circumference) is known we can easily calculate the radius.
With that we have all the needed information (height and radius) to calculate the volume of the cylinder.
Does anybody know this? I had it right before but now I don't remember the answer. Find the surface area of the square pyramid.
Answer:
The surface area of the square pyramid is 280 units².
Step-by-step explanation:
As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:
[tex]A=2bs+b^2[/tex]
From the figure, it is clear that
length of its base = 'b' = 9slant height = 's' = 10substituting the values in the formula
[tex]A=2bs+b^2[/tex]
[tex]A=2[/tex] [tex](10)[/tex] [tex](9)+(10)^2[/tex]
[tex]=2[/tex] [tex](10)[/tex] [tex](9)+100[/tex]
[tex]=280[/tex]
Therefore, the surface area of the square pyramid is 280 units².
HELP PELASE ILL MARK BRAINLIEST AND POINTS!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.
and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.
that is ~
[tex]\qquad \sf \dashrightarrow \: x + y = 3[/tex]
put y = - 2,we will get :
[tex]\qquad \sf \dashrightarrow \: x - 2 = 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
so, 1st equation satifys the condition. let's check out 2nd one.
[tex]\qquad \sf \dashrightarrow \: x + 2y = 1[/tex]
put y = -2
[tex]\qquad \sf \dashrightarrow \: x + (2 \times - 2) = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 4 = 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Hence, we can conclude that the Correct choice is D