If you had 5 green marbles and 8 red marbles, what's the probability that you'll pull out a marble that is green?
5+8 = 13 total marbles
5 are green
so you would have a 5/13 probability of picking a green one
if 5(3x-7)=20 then what is 6x-8
Which of the following statements is the converse of the statement "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"?
Answer:
If two angles are equal in measure then each of the two angles has a measure of 28 degrees.
Step-by-step explanation:
The converse of a statement is found by switching the hypothesis and conclusion of a conditional statement.
The hypothesis is the part that comes after "if" and the conclusion is the part that comes after "then."
This means the hypothesis is "each of two angles has a measure of 28 degrees" and the conclusion is "the two angles are equal in measure."
This gives us the converse "If two angles are equal in measure then each of the two angles has a measure of 28 degrees."
Which formula is used to find circular mil area?
A science experiment begins with a metal at −100° Celsius. The following function describes the temperature change per minute: f(x) = 89x − 100°. How will the graph of this function change if the metal is at 25° at the start of the experiment?
Answer:
A
Step-by-step explanation:
Jacobysontop!
What is the equation of a circle with a center (-2, 3) and a radius r = 5?
Two spheres of the same density have a ratio of 4 to 9 in surface area. If the small sphere weighs 10 kg, what does the large sphere weigh?
PLEASE HELP!!!!!!!dgbdgdbhdndcn
Ship A receives a distress signal from the northeast and ship B receives a distress signal from the same vessel from the west. At what location is the vessel in distress located? Describe how you arrived at your conclusion using complete sentences.
Coordinate geometry is the use of a 2D plane to represent the location of points. The position or location of the distress is in the first quadrant.
The coordinates of ship A and B are not given. So, I will give a general explanation.
On the four cardinal points,
North is upwardsEast is at the rightWest is at the leftSouth is downwardSo, if ship A receives a distress from the northeast, then it means that the distress is coming from a location at the top right of A. i.e. the first quadrant.
Also, ship B receives distress from the west. This means that ship B is at the right-hand side of the distress.
So, we can conclude that the position or location of the distress is at the first quadrant.
It is impossible to determine the actual coordinates of the distress because the coordinates are not given (see attachment possible illustration)
Read more about coordinate geometry at:
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Which equation is not a quadratic equation?
y = 3x2 + 2
y = 5x - 2
y = -x2
y = 5x2 - 2x + 7
If today is tuesday what day will it be in 100 days
The variable Z is inversely proportional to X. When X is 6, Z has the value 2. What is the value of z . When x = 13
Round to at least the thousandths place if needed.
Z= k/x
when x is 6, Z= 2
2=k/6
k=2*6
k=12
Z=12/X
when x = 13
Z=12/13
Z=0.923
Maggie’s brother is 12 years younger that three times her age . The sun of their ages is 44 . How old is Maggie
Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.
What does b belong with?
4xy - 9xy + -3xy Simplify the polynomial
What are the discontinuities of the function f(x) = the quantity x squared minus 16 over the quantity 4x plus 24
Answer:
x= -6 is the point of discontinuity.
Step-by-step explanation:
We have been given the expression
[tex]\frac{x^2-16}{4x+24}[/tex]
The first thing to find the discontinuity is to factorize the given rational function:
After factorization we get:
We will use [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex]here, a=x\text{and}b=4[/tex] we will get:
[tex](x+4)(x-4)=x^2-4^2[/tex]
we will get:
[tex]\frac{(x+4)(x-4)}{4(x+6)}[/tex]
Discontinuity is the point where value of the function becomes not defined
Here, the point of discontinuity is -6 because when denominator becomes zero. function becomes not defined.
It has vertical asymptote but function is not defined.
Hence it is the point of discontinuity.
Your teacher is giving you a test worth 100 points containing 40 questions. there are two-point and four-point questions on the test. let the number of two-point questions be x and the number of four-point questions be y. how many of each type of question are on the test?
Answer:
t=30 f=10
Step-by-step explanation:
t= 100*1 - 40*4 = 30
2*1 - 1*4
f= 2*40 - 1*100 = 10
2*1 - 1*4
t=30 f=10
How to determine the direction of a vector?
Examine the graph at right. Then in a sentence suggest why the graph rises at 11:00am and drops at 1:15pm
Solve this equation using an algebraic method: (x + 4)( x - 4) = 9
Help me out please
Over what interval of time in minutes was the jogger heart rate changing at the constant rate
We have a graph of the heart rate vs time.
We want to find on what interval the heart rate increases with a constant rate.
That interval is 3min ≤ t ≤ 4 min
The general function that increases with a constant rate is the general linear function:
y = a*x + b
Where a is the slope and also defines the constant rate of change.
Then the interval where the jogger heart rate changes at a constant rate is the part where we have a linear function (not the horizontal line, there the heart rate does not change).
Then the interval where the heart rate changes with a constant rate is:
3min ≤ t ≤ 4 min
If you want to learn more, you can read:
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Which complex number has a distance of √17 from the origin on the complex plane?
A;2 + 15i
B:17 + i
C:20 – 3i
D:4 – i
Answer:
The complex number 4-i has distance [tex]\sqrt{17}[/tex] from origin.
D is correct
Step-by-step explanation:
We are given the absolute value of complex plane.
If complex number is a+ib then absolute value [tex]\sqrt{a^2+b^2}[/tex]
We have to check the absolute value of each option and check which is equal to [tex]\sqrt{17}[/tex]
Option A: 2+15i
[tex]d=\sqrt{2^2+15^2}=\sqrt{4+225}=\sqrt{229}\neq \sqrt{17}[/tex]
Option B: 17+i
[tex]d=\sqrt{17^2+1^2}=\sqrt{289+1}=\sqrt{290}\neq \sqrt{17}[/tex]
Option C: 20-3i
[tex]d=\sqrt{20^2+3^2}=\sqrt{400+9}=\sqrt{409}\neq \sqrt{17}[/tex]
Option D: 4-i
[tex]d=\sqrt{4^2+1^2}=\sqrt{16+1}=\sqrt{17}= \sqrt{17}[/tex]
Hence, The complex number 4-i has distance [tex]\sqrt{17}[/tex] from origin.
There are 10 people in a room. if each person shakes hands with exactly 3 other people, what is the total number of handshakes?
A personal identification code consists of five digits (0 through 9). how many codes are possible?
a. 50
b. 252
c. 100,000
d. 30,240
There are 30,240 codes that are possible which consist of five digits (0 through 9).
What is a permutation?A permutation is defined as a mathematical process that determines the number of different arrangements in a set of objects when the order of the sequential arrangements.
There are 10 options for each of the 5 digits in the personal identification code (0 through 9). Since the order of the digits matters, we can use the formula for the number of permutations of n items taken r at a time, which is:
n!/(n-r)!
In this case, n is the number of options (10) and r is the number of items (5). Plugging these values into the formula gives us:
10!/(10-5)! = 10!/(5!) = 109876 = 30,240
Therefore, the correct answer is (d) 30,240.
Learn more about permutation here:
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An experiment consists of dealing 5 cards from a standard 52-card deck. what is the probability of being dealt aa 10, jack, queen, king, ace, all in the same suit
The lifetime of a supertough aaa battery is normally distributed with mean of 28.5 hours and standard deviation of 5.3 hours. for a battery selected at random, what is the probability that the lifetime will be 25 hours or less?
If 5+3+2=151012, 9+2+4=183662, 8+6+3=482466, 5+4+5= 202504 , then 7+2+5= ?
a.141035
b.143510
c.143542
d.143524
Line k is the perpendicular bisector of (line)PQ. If line k intersects (line)PQ at point R, which of the following statements must be true?
check all that apply
A. Line k bisects PQ
B. PR is congruent to QR
C. Line k intersects PQ at a 90 angle
D. Point R is the midpoint of line k
E. Line k is parallel to PQ
Answer:
A. Line k bisects PQ
B. PR is congruent to QR
C. Line k intersects PQ at a 90 angle
Step-by-step explanation:
A perpendicular bisector of a line is a segment that cuts right in the middle a line, and that segment forms a 90º degree angle with the line. This means that the point where the segment cuts the line would be exactly the half, making both resultant segments on the line congruent. So the options that are correct are ABC.
if a 24-day single payment loan has a periodic interest rate of 8.4% what is the approximate APR of the loan?
A. 201.6%
B. 127.8%
C. 12.8%
D. 20.2%
Answer:
Option B, 127.8%
Step-by-step explanation:
If a 24-day single payment loan has a periodic interest rate of 8.4%.
First we divide 365 by 24 to make periods of 24 days in one year.
365 ÷ 24 = 15.21
periodic interest rate of 8.4%
then Annual Percentage Rate = 15.21 × 8.4 = 1 27.76 ≈ 127.8%
127.8% is the approximate APR of the loan.