Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
What is the leading coefficient of 5-6x^4+8x^2-2x^3
Answer:
-6
Step-by-step explanation:
Rewrite the equation with the number that has the highest exponent in the front.
-6x^4 -2x^3 + 8x +5
The leading coefficient is the number beside the x value
In this case it is -6
Hope this helps plz mark brainliest!
Please state the like terms in each group:
a) 4w,5w^2, 5z, x^2, -x, 3w, 3v
b) 4x^2, -3x^2, 4z, 2y, y^2, 4w
i will give the brainliest to whoever answers correctly:))
a) 4w and 3w
b) 4x^2 and -3x^2 and y^2
Answer:
a ) 4w and 3w
b ) 4x^2 and - 3x^2
Step-by-step explanation:
Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are coefficients ;
[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]
As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2
Solution above
how would you write an equation of a circle that is (-3,2) with a radius of 5
Answer:
(x+3)^2 + (y-2) ^2 = 25
Step-by-step explanation:
Equation of a circle: (x-h)^2 + (y-k)^2 = r^2
Center at (h,k)
Radius=r
Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79
Answer:
ehhrr idk
Step-by-step explanation:
Answer:
Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't
Step-by-step explanation:
which number produces an irrational number when multiplied bby 1/2
HELPPPP, giving brainlists The question, “How many ways can 4 different students be selected in order from a class of 30 students?”, is a(n) _____.
Answer:
³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS
Solve x2 − 3x = −8.
a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2
Answer:
x equals quantity of 3 plus or minus I square root of 23 all over 2
Step-by-step explanation:
for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
In a group of 42 students, 9 study both Art and Biology.
10 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
The probability the student studies Art and Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B = a students studies Biology
The information provided is:
N = 42
n (A ∩ B) = 9
n (A' ∩ B) = 10
n (A' ∩ B') = 7
Then the number of students who study Art but not Biology is:
n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')
[tex]=42-10-7-9\\\\=16[/tex]
The number of students who study Art but not Biology is 16.
Compute the probability the student studies Art and Biology as follows:
[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]
[tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]
Thus, the probability the student studies Art and Biology is 0.2143.
to determine the percentage of students interested in volunteering for a holiday food drive, franklin high school conducts a phone survey of all currently enrolled seniors. this is an example of _____.
A.) Collecting data
B.) Describing data
C.) Making an inference
Answer: A Collecting data
Step-by-step explanation:
just did the quiz
Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?
Answer: Each friend got 3 cookies.
Step-by-step explanation:
Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.
Answer:
Step-by-step explanation:
So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.
24-3=21
Then divide 21 by the number of friends.
21÷7=3
So each friend got 3 cookies.
Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend
Answer:
20%
Step-by-step explanation:
6/30 = blank/100
cross multiply
6 x 100
600/30 =20
What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?
a.25
b.3
c.16
d.9
Answer: B. 3
Step-by-step explanation:
4^2 + b^2 =5^2
16 + b^2= 25
-16 -16
b^2 = 9
[tex]\sqrt{9} =3[/tex]
Convert the following time to 24-hour clock time. a) 5:00 pm b) 6:45 p.m c) 8:05 a.m d) 12:59 a.m III. Convert the following time to 12-hour clock time. a) 0400 hours b) 1500 hours c) 0010 hours d) 0240 hours
Answer:
5:00 pm -> 1700 hours
6:45 pm -> 1845 hours
8:05 am -> 0805 hours
12:59 am -> 0059 hours
0400 hours -> 4:00 am
1500 hours -> 3:00 pm
0010 hours -> 12:10 am
0240 hours -> 2:40 am
Step-by-step explanation:
12:xx am -> 00xx
all times from 1:00 am to 9:59 am stay nearly the same 0100 to 0959
all times 10:00 am to 12:59 pm stay nearly the same 1000 to 1259
all times 01:00pm to 12:00pm + 12 -> 1300 to 2400
Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
A geometric sequence has the explicit formula an = (-2) x 3^n- 1. What is the 4th term?
Answer:
-54
Step-by-step explanation:
Please write this sequence in the following form: a(n) = (-2)*3^(n- 1)
Then a(1) = -2*3^0 = -2
a(2) = -2*3^(2 - 1) = -6
a(3) = -2*3^(3 - 1) = -2*9 = -18
a(4) = -2*3^(4-1) = -2*27 = -54
Which expression is modeled by this arrangement of tiles?
16 negative tiles are split into 2 groups of 8 negative tiles.
Negative 16 divided by 3
Negative 16 divided by 2
Negative 8 divided by 8
Negative 8 divided by 2
Answer:
The answer is B
Step-by-step explanation:
if MNL is congruent to TUS, then NL is congruent to ?
Answer:
NL is congruent to US.
Answer:
d. NL ≅US
Step-by-step explanation:
ΔMNL ≅ ΔTUS
follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS
Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?
A-6
B-9
C-12
D-18
9514 1404 393
Answer:
C-12
Step-by-step explanation:
You want to find n such that ...
[tex]\dfrac{4}{n}=\dfrac{n}{36}\\\\4\cdot36=n^2\qquad\text{multiply by $36n$}\\\\\sqrt{4\cdot36}=n\\\\2\cdot6=\boxed{n=12}[/tex]
Answer:
12
Step-by-step explanation:
Took the test on edg I got 100%.
Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?
plz show work
Answer:
a) The interest is earned in 3 years = 112.5
b) The total amount earned at the end of 3 years = 1672.5 rupees
Step-by-step explanation:
Given Carla has $1560 in a savings account that pays 2.5% simple interest
Interest = 1560 × 2.5 %
= 1560 × 0.025
= 37.5
The interest for one year = 37.5
The interest is earned in 3 years = 112.5
b) The total amount earned at the end of 3 years
= Amount + interest
= 1560 + 112.5
= 1672.5
Which of the following best describes perpendicular rays?
A. Rays that intersect
B. Rays that are coplanar
C. Rays that intersect at a right angle
D. Rays that never intersect
Answer:
C.
Step-by-step explanation:
Rays that intersect at a right angle (90° angle) are always perpendicular
1/2 belongs to what family of real numbers
Answer:
1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.
Answer:
rational numbers and real numbers
Step-by-step explanation:
Rational numbers is part of the real numbers family and so therefore it is also a real number.
A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?
<OLD>
Answer:
4.9 ≤ l ≤ 5.1
Step-by-step explanation:
'I' represents the length of the acceptable length for the board in feet.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1
Thus, 'I' represents the length of the acceptable length for the board in feet.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ5
Pls pls help me with this
What is the sum of the measures of the interior angles of a 12-gon?
1620°
O 1800°
O 1980°
O 2160°
Answer:
The answer is 1800!
Step-by-step explanation:
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!
PLEASE HELP WILL MARK BRAINLIEST
The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
Original figure: (-6,-5)
final figure: (-6, 5)
Step-by-step explanation:
the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!
PLEASE HELP WILL MARK BRAINLIEST
Graph the inequality below on the number line.
Answer:
open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle
what is 2 7/8 x 2/3
Answer:
2.25
Step-by-step explanation:
Question below. I have attached it below. Please answer it and comment the answer.
Answer:
(a)1/10
(b)1/5
(c)4/5
hope it helps
Answer:
answer for A) 1/10
answer for B) 1/10
answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer
factorize Factor 25x² - 16y²
Answer:
Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y
(5x+4y)(5x-4y)
