Step-by-step explanation:
Probability is the ratio of the expected outcome (event) to the total outcome (sample space)
Probability = expected outcome/total outcome
If Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box, the total number of sample space is 20
1) To calculate of getting a prima number.
Events = {2, 3, 5, 7,11,13,17,19}
n(events) = 8 elements
Pr(selecting a prime) = 8/20 = 2/5
2) If a factor of 20 is selected
Factor of 20 F = {2, 4, 5, 10, 20}
n(F) = 5
Pr(factor of 20) = 5/20 = 1/4
3) A composite number are 2 digits numbers.
Composite number C = {10,11,12,13,14,15,16,17,18,19,20}
n(C) = 11
Pr(a composite number) = 11/20
4) For multiple of 3.5
Multiple of 3.5 M = {3.5, 7.0, 10.5, 14.0, 17.5}
n(M) = 5
Pr(multiple of 3.5) = 5/20 = 1/4
5) For perfect squares
Perfect squares P = {1, 4, 9, 16}
n(P) = 4
Pr(perfect squares) = 4/20 = 1/5
Find the slope of the line that passes through the points (2,-10) and (-4,2).
Answer:
-0.5
Step-by-step explanation:
Answer:
m = -2
Step-by-step explanation:
Plug the two points in slope formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\\\\frac{2-(-10)}{-4-2} \\\frac{12}{-6} \\\\m= -2[/tex]
Rewrite the fractions using the least common denominator.
5/8 and 11/12
a. 15/24 and 22/24
b. 2/4 and 3/4
c. 60/96 and 55/96
d. 12/20 and 19/20
Answer:
its A
Step-by-step explanation:
Greg saves $15 every week. What expression would represent the amount of money in dollars Greg will save in W weeks?
Answer:
15W
Step-by-step explanation:
$15 is the amount he plans to save every week (constant), the W will represent the number of weeks
Answer:
15w
Step-by-step explanation:
w is the unknown amount and every week greg saves 15. So the equation would be 15w.
You can plug a number to check in for example 5. He would save $75.00 in 5 weeks.
James has $10 in 5-cent and 10-cent coins in his change jar and counts 157 coins in total. How many 10-cent coins does he have?
Answer:
Step-by-step explanation:
Let the number of 5-cent coins he has be x and the number of 10-cent coins he has be y
x coins + y coins = 157 coins
(x × 5)cents + (y × 10)cents = $10
These two equations are true about the money he has, i.e
x + y = 157
5x + 10y = 1000
(We made the $10 into 1000 cents because the coins are in cents)
We can solve the above equations either simultaneously or through substituting.
Simultaneously:
(x + y = 157) × 5
5x + 10y = 1000
5x + 5y = 785
5x + 10y = 1000
Subtract the co-efficients in the equations
0x + -5y = -215
-5y = -215
y = 43
This means he has 43 10-cent coins.
PS: We get the number of 5-cent coins by subtracting 43 from 157, the total number of coins he has.
Substituting:
x + y = 157
5x + 10y = 1000
y = 157 - x
5x + 10(157 - x) = 1000
5x + 1570 - 10x = 1000
-5x = -570
x = 114 coins
157 - 114 = 43 coins
Thus there are 43 10-cent coins.
Answer:
46
Step-by-step explanation:
You would have 46 10-cent coins. First split it up into dollars, there are $10 and 10 dimes in each dollar. So if James has 157 coins you would need to first see how many coins he has in total. In total there are 100 dimes. We need to get to 157 coins so we'll need to break up some of the coins. So we keep turning the dimes into nickels until we get the number 157 for all the coins in total. So James has 46 10-cent coins.
7/1 x 1/4=?
thanks for the help!!!
Answer:
1.75
Step-by-step explanation:
Answer:
7/4 or 1¾ or 1.75
Step-by-step explanation:
7/1 × 1/4
7 × 1 = 7
1 × 4 = 4
please expand it
(c-7d)2
Answer:
c² - 14cd + 49d²
Step-by-step explanation:
Given
(c - 7d)²
= (c - 7d)(c - 7d)
Each term in the second factor is multiplied by each term in the first factor, that is
c(c - 7d) - 7d(c - 7d) ← distribute both parenthesis
= c² - 7cd - 7cd + 49d² ← collect like terms
= c² - 14cd + 49d²
Please answer well, not just for points. Thank you!
please help me quickly!
Answer:
-209/222
Step-by-step explanation:
solve the mixed fractions and turn them into improper fractions and then take the lcm
Answer:
The total answer would be 0.25
An equation that models the decline in the number of US farms is y=3,962,000e−0.02t where t is the number of years since 1960 and y is the number of farms.
The decline in the number of farms means there is a reduction in the number of farms
The number of US farms after 5 years is 3584818
How to determine the number of farmsThe equation that represents the number of farms is given as:
[tex]y=3962000e^{-0.02t[/tex]
After 5 years, the value of t is 5.
So, we have:
[tex]y=3962000e^{-0.02*5[/tex]
Evaluate the product
[tex]y=3962000e^{-0.1[/tex]
Evaluate the exponent
[tex]y=3962000*0.9048[/tex]
Evaluate the product
[tex]y=3584817.6[/tex]
Approximate
[tex]y=3584818[/tex]
Hence, the number of US farms after 5 years is 3584818
Read more about exponential equations at:
https://brainly.com/question/11832081
Please help! Its due today!
Answer:
c
Step-by-step explanation:
since the lines only intersect each other once there is one solution at the point (1,4)
Answer:
C - One solution: x = 1, y = 4
Step-by-step explanation:
The solution is where the lines intersect. We can see they only intersect at point, (1, 4), so the answer is C - One solution: x = 1, y = 4.
please help me find the median only
Answer:
12
Step-by-step explanation:
The median is the middle value of the entire set of data when the data is in order. No calculation is needed most of the time.
So here the middle value is 12.
Have a good day!
Factor completely x2 - 8x + 16.
(x + 4)(x + 4)
(X - 4)(x - 4)
(X + 4)(x - 4)
(x-2)(x-8).
help
Answer:
(x-4)(x-4) is the correct answer!! i got it right
Step-by-step explanation:
Factor the binomial expansion. 196x2 + 420x + 225
Answer:
Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor.
Step-by-step explanation:
A 100 pound person on earth would weigh about 38 pounds on mars and 17 pounds on the moon. What would a 150 pound person on earth
To solve the logarithmic inequality below, Braden
decides to first
create a table of values representing the left side of the inequality. Which statements accurately reflect Braden's inequality? Check all that apply.
The domain of the logarithmic expression is x < 2.
The solution set is the interval (5, 14).
When written as two inequalities and graphed, the graphs intersect at (5, 14).
When graphed, the overlapping shading extends to
positive infinity.
The ordered pair (32, 3) could be included in the
table.
Answer: B and E
Step-by-step explanation:
Edge
Answer:
BE
Step-by-step explanation:
just took test
Pls answer!!!! I will give a lot points
1. 24
2. 10.4
3. 12.8
so your basacually adding the number to itself
ex.
12.4+12.4= 24.8 that would be the answer
Bruce, Cathy and Dilip paid $7, $10 and $8
respectively for a lotto ticket. The ticket won
a prize of $600. Calculate Bruce's share of
the winnings.
Hey there!
Add the total of Bruce, Cathy and Dilip
=> 7 + 10 + 15
=> 25
Then, Divide it by 600
=> 600 ÷ 25
=> 24
To find how much Bruce's share
we multiply 24 times the $10 he contributed
=> 24 × 10
=> 240
Therefore, Bruce's share would be $240
Graph the line.
y = −4x + 2
Answer:
it rise over run so put 2y on graph count down 4 and move right 1
Step-by-step explanation:
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and each adult ticket sells for $8. There was a total of $640 in revenue from the sale of 100 total tickets. Graphically solve a system of equations in order to determine the number of student tickets sold, x, and the number of adult tickets sold, y.
Answer:
number of student tickets sold (x) = 40
number of adult tickets sold (y) = 60
Step-by-step explanation:
Let x = number of student tickets sold
Let y = number of adult tickets sold
Given:
total ticket sales = 100⇒ x + y = 100
Given:
student ticket = $4adult ticket = $8total ticket sales = $640⇒ 4x + 8y = 640
Rewrite x + y = 100 to make x the subject:
⇒ x = 100 - y
Substitute x = 100 - y into 4x + 8y = 640 and solve for y:
⇒ 4(100 - y) + 8y = 640
⇒ 400 - 4y + 8y = 640
⇒ 4y = 240
⇒ y = 60
Substitute found value for y into x = 100 - y and solve for x:
⇒ x = 100 - 60
⇒ x = 40
To solve graphically, rewrite both equations to make y the subject:
y = 100 - x
y = 80 - (1/2)x
Plot both lines.
The solution is the point of intersection (40, 60)
(SHow ur work if u dont I will report :) Find the quotient: 49.6 ÷ 6.2
Answer:
Answer:
answer is 8 explained in picture
[tex][Hello,BrainlyUser][/tex]
Answer:
8
Step-by-step explanation:
Knowing that;
Quotient ⇒ Divide
[tex]\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:10[/tex]
[tex]\frac{496}{62}[/tex]
[tex]\mathrm{Write\:the\:problem\:in\:long\:division\:format}[/tex]
[tex]\begin{matrix}62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]Divide\;496\;by\;62\;to\;get\;8[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\:\:\emptyspace8\:\:\:\:\:\:\:\:\:\:\:\:\\ 62\overline{|\smallspace496}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace9\emptyspace6}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\mathrm{The\:solution\:for\:Long\:Division\:of}\:\frac{49.6}{6.2}\:\mathrm{is}\:8[/tex]
[CloudBreeze]
In order to learn how to fly a plane, I must
spend 50 hours in flight training: several
hours of training must be with an instructor,
and the rest of my training hours must be in
a flight simulator. I can only afford to spend
$3496 for training, and the instructor
charges $98 per hour while the simulator
only costs $46 per hour. How many hours
should I spend in each type of training?
Answer:
5
Step-by-step explanation:
because if you divide it equals each one 5 hours hopes this helps.
URGENT!!! I ONLY HAVE A SPECIFIC AMOUNT OF TIME! PLEASE DON'T SKIP!!!
BRAINLIEST + EXTRA POINTS!!
Answer:
x=5
Step-by-step explanation:
25x+30+5x=180 <----- do this (dont feel like showing my work)
USE SYMBOLAB I LITERALLY USE IT ALL THE TIME!!
Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?
A) 21 years old
B) 22 years old
C) 24 years old
D) 27 years old
Answer:
24 yrs old. I hope this is helpful.
If 3 superscript 2 x 1 baseline = 3 superscript x 5, what is the value of x?
The value of x for the considered algebraic equation is 4.
What are some basic properties of exponentiation?If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation (the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^c \implies b = c \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
For this case, we have got the equation as:
[tex]3^{2x+1} = 3^{x+5}[/tex]
Using the property that: [tex]a^b = a^c \implies b = c \: \:(if \: a \neq 1 \: and \: a \neq -1)[/tex], we get:
[tex]2x + 1 = x + 5\\[/tex]
Solving it further:
[tex]2x + 1 = x + 5\\\\\text{Subtracting 1+x from both the sides}\\\\2x + 1 - (1+x) = x+5 - (1+x)\\x = 4[/tex]
Thus, the value of x for the considered algebraic equation is 4.
Learn more about exponentiation here:
https://brainly.com/question/15722035
y + 5 equals 3/4 (x + 4) which graph matches the equation
Answer:
i have no idea what the answer is
Step-by-step explanation:
The measure of angle m is 7 degrees less than the measure of angle n. If the sum of the measures of the two angles is 59° find the measure of each angle
Answer:
Step-by-step explanation:
The measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The measure of angle m is 7 degrees less than the measure of angle n.
m = n - 7 ...(I)
The sum of the measures of the two angles is 59°
m + n = 59 ...(II)
Solving the above two linear equations in two variables by substitution method:
n - 7 + n = 59
2n = 66
n = 33
m = 33 - 7 = 26
Thus, the measure of each angle are 33 and 26 if the measure of angle m is 7 degrees less than the measure of angle n.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Pls, help me solve this. Show your work
Answer:
y = 2x + 1/3
Step-by-step explanation:
Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.
Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.
Therefore, the equation is: y = 2x + 1/3
Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s average speed was 0.25 miles per minute and Riko’s average speed was 0.35 miles per minute, then Riko will be behind Yuto when 0 ≤ t < 52.5, where t is time in minutes. Explain what this solution means and why t cannot be less than zero.
ANSWER:
The solution means that Riko will be behind Yuto from the time she leaves the house, which corresponds to t = 0, until the time she catches up to Yuko after 52.5 minutes, which corresponds to t = 52.5. The reason that t cannot be less than zero is because it represents time, and time cannot be negative.
show us a parallelogram ABCD is given.If the diagonals AC and BC interest at O and AO = 4cm, find the length of AC.
plssssssss write the real answer.
Answer:
8 cmStep-by-step explanation:
We know the diagonals of a parallelogram bisect each other.
If O is the point of intersection of diagonals, AC is split into AO and OC.
AC = AO + OCSince AO = OC, the length of AC is:
AC = 2*AO = 2*4 cm = 8 cmWrite the following expressions as a single integer.
-7 + 21
Answer:
14
Step-by-step explanation:
-7 + 21
21 = Positive
-7 = Negative
Since, there are more positive than negative Thus, answer is positive
21 - 7 = 14
Hence, the answer is 14.
~`Lenvy`~