Answer:
0.999999
Step-by-step explanation:
Given that :
Probability of CD being defective, p = 0.1
q = 1 - p = 1 - 0.1 = 0.9
Total number of CD's = number of trials = 80
Probability, that no more than 35 CD's are defective ;
The question satisfied the requirements for a binomial probability problem ;
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Hence,
P(x ≤ 35) = 80C35 * 0.1^35 * 0.9^(45)
Using calculator to save computation time :
P(x ≤ 35) = 0.999999
(3.1 x 10^10) X (4.6 x 10^4) divided by (9.4 x 10^-3)
(This is scientific notation)
Answer:
1.5×10^17
Step-by-step explanation:
it would be better to first multiply the two then divide the answer by 9.4×10^-3
I hope this helps
Help please
Which points lie in the third quadrants? check all that apply.
A. Point F
B. Point B
C. Point C
D. Point D
E. Point E
Answer:
A. Point F
Step-by-step explanation:
Quadrant I is the top right, Quadrant II is the top left, Quadrant III is the bottom left, and Quadrant IIII is the bottom right. SO basically, the order of quadrants is counterclockwise.
If we look at the bottom left (Quadrant III), we see there is only one point there; point F.
Hope this helps!
If there is something wrong, please let me know.
Marcus plans to spend $72 at a local clothing store that sells t-shirts for $8 each and jeans for $12 each, sales tax included. This scenario is modeled by 8x + 12y = 72, where X represents the number of t-shirts purchased and y represents the number of jeans purchased.
What point on the graph represents Marcus' purchase if it consisted of only t-shirts?
Option
A. The x intercept (9,0)
B. The y intercept (0,6)
C. The x intercept (6,0)
D. The y intercept of (0,9)
Answer:
a. the x intercept (9,0)
how many candy bars did team sell if they collected $1,00.00
plz help
ASAP
Answer:
E) 125 boxes
F) 800 candy bars
Step-by-step explanation:
E)
3,125/1.25 = 2500
2500/20 = 125
F)
1000/1.25 = 800
Find the average (mean) of the given set of data.
22,15,31,40,27
Answer:
27
Step-by-step explanation:
Hi there!
We are given this set of data:
22, 15, 31, 40, 27
And we want to find the average (or the mean) of the set
To find the mean, we add up all of the values of the data set and then divide it by how many pieces of data we have
So first, add 22, 15, 31, 40 and 27 together
22+15+31+40+27=135
We have 5 pieces of data, so divide 135 by 5
135/5=27
The mean is 27
Hope this helps!
[tex]\boxed{\large{\mathbf{\blue{ANSWER~:) }}}}[/tex]
Data=22,15,31,40,27no of data=5sum of data=22+15+31+40+27=135we know that,
[tex]\boxed{\sf{mean=\dfrac{sum ~of~ data}{no~ of~ data } }}[/tex]
According to the question,
[tex]{\sf{mean=\dfrac{135}{5 } }}[/tex] [tex]\sf{ mean=27 }[/tex]Therefore,
the average (mean) of the given set of data.(22,15,31,40,27) is 27.
What's the maximum area you can get for a rectangle with two sides along the x and y axes, and the opposite vertex in the first quadrant along the line y = 20 – 4x?
Answer:
Remember that a triangle rectangle of length L and width W has an area:
A = W*L
In our rectangle, we have two sides along the x and y axes.
So one of the vertices of our triangle rectangle is the point (0, 0)
And the other vertex, is along the line:
y = -4x + 20
So, if the opposite vertex is at the point:
(x₁, y₁)
We can define the length as the difference between the x-values of each vertex.
L = (x₁ - 0) = x₁
And the width, similarly, as:
W = (y₁ - 0) = y₁
Such that the point (x₁, y₁) is a solution for the equation y = -4x + 20, then we have:
y₁ = -4x₁ + 20
Then we can rewrite the width as:
W = -4x₁ + 20
Now, we can write the area of our rectangle as:
A = (x₁)*(-4x₁ + 20)
A = -4*x₁^2 + 20*x₁
Now we want to maximize the area, notice that the area is given by a quadratic equation with a negative leading coefficient.
Thus, the maximum will be at the vertex of that quadratic equation.
Remember that for a general quadratic equation:
y = a*x^2 + b*x + c
The x-value of the vertex is:
x = -b/(2*a)
so, in our case, the x-value of the vertex will be:
x₁ = -20/(-4*2) = 20/8 = 5/2
Now we can evaluate this in our area equation:
A = -4*(5/2)^2 + 20*(5/2) = 49.36
This is the maximum area of the rectangle.
What is the value of the first term in the following arithmetic sequence?
-9, -2, 5, 12, ...
-9
7
9
-7
Answer:
-9
Step-by-step explanation:
-9, -2, 5, 12,.........
The first term is the first number in the sequence
-9
[tex]\sf{ }[/tex]
The first first term in the following arithmetic sequence
-9, -2, 5, 12, .. is -9
Please help with question thank you
Answer:
The answer is 3x=50-10y
need help with this problem
Answer:
OA⊥OC
∴∠AOB+BOC= 90°
5x+8+6n-6=90
11x+2=90
x=90-2/11
x=88/11
x=8
∠BOC=6x-6
=6(8)-6
=48-6
∠BOC=42°
------------------------------
Hope it helps...
Have a great day!!
Answer:
[tex]<BOC = 42[/tex]
Step-by-step explanation:
In this problem, it is given that lines (AO) and (OC) are perpendicular. This means that when the lines intersect, the four angles formed each have a measure of (90) degrees. As per the given diagram, angles (<AOR) and (<ROC) add up to make (<AOC). Thus, one can form the following equation and solve for (x).
[tex](<AOR) + (<ROC) = (<AOC)[/tex]
Substitute,
[tex](6x-6)+(5x+8)=90[/tex]
Simplify,
[tex]11x+2=90[/tex]
Inverse operations,
[tex]11x+2=90[/tex]
[tex]11x=88\\\\x=8[/tex]
Substitute this into the equation for the measure of angle (<BOC) to find the numerical angle measure:
[tex]<BOC = 6x-6\\x = 8\\\\= 6(8)-6\\\\=48-6\\\\=42[/tex]
solve x
solve x
solve x
Answer:
x = 25
Step-by-step explanation:
When you combine both angles, you can get a supplementary angle which means that when they are both added, it should add up to be 180 degrees. With that being said, we can create an equation and solve for x.
5x - 5 + 2x + 10 = 180
~Combine like terms
7x + 5 = 180
~Subtract 5 to both sides
7x = 175
~Divide 7 to both sides
x = 25
Best of Luck!
Answer: x = 25
Step-by-Step Explanation:
We are given a line, hence it is a straight angle being 180°
Therefore,
=> 5x - 5 + 2x + 10 = 180
= 5x - 5 + 2x = 180 - 10 = 170
= 5x + 2x = 170 + 5 = 175
= 7x = 175
=> x = 175/7 = 25
Therefore, x = 25
Additionally, finding the values of each angle :-
=> 5x - 5
= 5(25) - 5
= 125 - 5
=> 120°
=> 2x + 10
= 2(25) + 10
= 50 + 10
=> 60°
Therefore, one angle is 120° and the other is 60°
first answer gets marked brainliest!!
Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
the least common multiple of ½,⅓,⅘ and ³/¹⁰ is a)90 b)50 c)30 d)15 e)10
Answer:
Step-by-step explanation:
Please hurry I will mark you brainliest
Answer:
12500
Step-by-step explanation:
11830 - 10464 = 1366 (difference 1995 to 96)
10464 - 8958 = 1506 (94 to 95)
8958 - 8135 = 823
8135 - 7537 = 598
7537 - 6642 = 895
6642 - 5942 = 700
5942 - 3579 = 2363 (5 years)
so, we have the annual differences over 11 years.
the expectation for the following year would be based on the mean value of growth rate and not on the mean value of the absolute numbers, as we know the number of transactions for 1997 will be higher than for 1996.
so, the mean value of growth over these 11 years is 750.
so, based on this we would estimate for 1997
11830 + 750 = 12580 (12500 being the closest answer option).
but if the business environment has changed over the most recent years, we should not bring in earlier years into that calculation (or at least not with the same weight).
we could argue that the last 2 years had a totally different behavior than the years before.
so, just creating a mean value of the last 2 years' changes would be
(1366 + 1506) / 2 = 2872 / 2 = 1436.
now, or prediction would be
11830 + 1436 = 13266, which would be closer to the 13500 answer option.
Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3
Answer:
y = 1/2x - 3 (option - d)
Step-by-step explanation:
The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).
Line y = 1/2 x - 6 has the slope m = 1/2
and the line in option 'd'
y = 1/2 x -3 has the slope m = 1/2
Slopes are equal and lines are parallel.
Thank-you.
#Muhib
The graph f(x) shown below has the same shape as the graph of g(x)=x^2 which of the following is the equation of f(x)
Answer:
Choice D. [tex]F(x)=x^2-4[/tex]
Step-by-step explanation:
Since the graph is translated down 4, it cannot be choice A. or C.Since the graph is concave up, choice B. is ruled out.Leaving choice D. the correct answer.Sam is driving at a speed of 15 meters per per second. He travels the distance from his home to his friends house in 90 minutes. How far away in kilometers is his friend's house
Answer:
81 km
Step-by-step explanation:
Speed = distance / time
speed and time are measured in different units, thus, time has to be converted to seconds
60 second = 1 minute
90 x 60 = 5400 seconds
15 m /s = distance / 5400 seconds
distance = 81,000 metre
1000m = 1 km
81000 / 1000 = 81km
Find x round your answer to the nearest integer.
Answer:
C
Step-by-step explanation:
Note that x is opposite to the given angle and we are also given the hypotenuse.
Since we have an angle and the side opposite to it and the hypotenuse, we can use the sine ratio. Recall that:
[tex]\displaystyle \sin \theta =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
The opposite side is x, the hypotenuse is 15, and the angle is 53. Substitute:
[tex]\displaystyle \sin 53^\circ = \frac{x}{15}[/tex]
Solve for x:
[tex]x=15\sin 53^\circ[/tex]
Use a calculator (make sure you're in Degrees Mode!). Hence:
[tex]x=11.9795...\approx 12[/tex]
Our answer is C.
Answer:
C. 12
Step-by-step explanation:
Pythagoras Theorem
Two boys together have $12. One of them has $10 more than the other. How much money does each of them have
a parabola has x-intercepts at x = 1/2 and x=5. what is the equation of the parabola
Answer:
y = 2x²-11x +5
Step-by-step explanation:
We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:
p(x) = A×(x - x₁)×...×(x - x₂)
Here we will find:
P(x) = (x - 1/2)×(x - 5)
Let's see how we found that:
Here we know that is a parabola, so n = 2, and the x-intercepts are:
x₁ = 1/2
x₂ = 5
And we do not know the leading coefficient, so we can assume A = 1.
Then the polynomial is just:
P(x) = (x - 1/2)×(x - 5)
The graph of this polynomial can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/24371640
Match the function with its corresponding graph
Answer:
Step-by-step explanation:
One way to match an equation of a straight line with the graph of a straight line is to use the slope and y-intercept. Here is an example of the graph of an equation. Below is the graph of the equation y = 2 x + 10.
Find the value of x and HE in the triangle
Answer:
EH = HF by the perpendicular bisector theorem
equation:
3x=x+4
or, 3x-x=4
or, 2x=4
or, x=2
so, HE = 6
Answered by GAUTHMATH
Please Help!
Use the Parabola tool to graph the quadratic function. f(x)=3x^2−6x+5 Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
you didn't tell wich program to use and did not include any pictures.
anyways, I graphed the function with desmos (free to use as app and on website)
so that u can see what the graph should look like.
variance based on the zoom is okay of course.
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
r = 3 cm
3 cm
Answer:
22/7×9×3=22×9×3=594÷7=84.85
Answer:
56.5 For Acellus Users
Step-by-step explanation:
Step 1. 2 x 3.14(pi) x radius(3) x height(3)
Step 2. Once added up should equal 56.5
Remember 2 x 3.14 x 3 x 3 = 56.5
QUESTION 2
In A XYZ, X = 18 cm, y = 14 cm, and z= 17 cm.
Determine the measure of Z to the nearest degree.
a. 66°
b. 63°
c. 57°
d. 60°
Answer:
B: 63
Step-by-step explanation:
You are filling a bookcase with books. The bookcase is 3 feet wide. Your hardcover books are 1 1/2 inches wide and your paperback books are 3⁄4 inches wide. If you have already placed 8 hardcover books on the shelf, what is the maximum number of paperback books you can also fit on the shelf?
Answer:
32 paperback books
Step-by-step explanation:
Given that :
Width of hardcover books = 1 1/2 inches
Width of paperback books = 3/4 inches
Number of hardcover books already on shelf = 8
Total width of shelf = 3 feets
1 foot = 12 inches
Hence, total shelf width in inches = (12 * 3) = 36 inches
Total width of hardcover books = (8 * 1 1/2) = 12 inches
Total shelf width left = (36 - 12) inches = 24 inches
Maximum number of paperback books :
Total shelf width left / paperback width
24 inches / (3/4)inches = 32 paperback books
At Fireflies Kids Camp, 4 out of the 10 kids in the yellow cabin are taking swimming lessons. In the blue cabin, 5 out of the 15 kids are taking swimming lessons. Do both cabins have the same ratio of swimmers to total kids?
Answer:
Both cabins do not have the same ratio of swimmers to total kids.
Step-by-step explanation:
The ratio of swimmers to total kids in the yellow cabin is:
4 : 10
The ratio of swimmers to total kids in the blue cabin is:
5 : 15
4 : 10 and 5 : 15 are not equivalent ratios because:
LCM of 10 and 15 is 30
Multiply each term in a ratio by a number so that the second term is 30:
4 x 3 = 12
10 x 3 = 30
4 : 10 = 12 : 30
5 x 2 = 10
15 x 2 = 30
5 : 15 = 10 : 30
12 : 30 and 10 : 30 are NOT the same ratios.
Hope this helps!
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
here's the answer to your question
Answer:
Q.8 . circumference of circle =2×pi×r
157cm =2×3.14×r
157cm =6.28×r
157cm/6.28 =r
25cm =radius
Q.9. circumference of circle=2×pi×r
99cm =2×22/7×r
99cm =44/7×r
(99cm×7)/44=r
15.75cm =r
2×15.75cm =diameter
31.5cm=diameter
can somebody please help me with this (geometry)
Whats the correct answer?
Answer:
Actually the answer is "A"
this is a very strange way to present a problem...
this issue her is that [tex](x^{a}) ^{b} = x^{a*b}[/tex]
so you need 1/3 * 3 in the answer... none of them have 1/3 * 3
BUT !!!!! 1/3 + 1/3 + 1/3 is the same as 1/3 * 3 So "A" is the solution
Step-by-step explanation:
