Given the set of integers 1 − 20 , what is the probability of selecting a number that is divisible by 7 ?
The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].
What is probability?Probability deals with finding out the likelihood of the occurrence of an event.
It measures the chance of an event happening and is equal to the number of favorable events divided by the total number of events.
The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
Given
Set of integers = 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
The probability of selecting a number that is divisible by 7 :
We all know the 7 multiples less than 20 : 7, 14
There are 2 numbers that are divisible by 7 in the set of integers 1 - 20
Therefore, Number of favorable outcomes n(E) = 2
Total number favorable outcomes n(S) = 20
Probability is the ratio of number of favorable outcomes to total number of favorable outcomes.
[tex]P(E) = \frac{n(E)}{n(S)}[/tex]
[tex]P(E) = \frac{2}{20} =\frac{1}{10}[/tex]
Hence,
The probability of selecting a number that is divisible by 7 is [tex]\frac{1}{10}[/tex].
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f(x)=2x^ 2 +9x Find f(10)
Find the value of x in the triangle shown below.
a.x=24
b.x=135
c.x=24
d.x=12
Step-by-step explanation:
Solution given:
By using Pythagoras law
h²=p²+b²
15²=x²+9²
x²=15²-9²
x=√144=12
x=12 is your answer
Answer
Step-by-step explanation:
hope it is helpful to you
Help with the question plz people
You are cheating. I see this is a test.
Anyone smart at math?
Answer:
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. Write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
Step-by-step explanation:
boom it is big now
Suppose you buy a $10,000 bond at face value. The bond pays $450 annual interest. What is the yield on this bond? (Calculate to one decimal place)
HELP ASAP
Answer:
Yield on this bond = 4.5%
Step-by-step explanation:
Given:
Face value of bond = $10,000
Annual interest receives from bond = $450
Find:
Yield on this bond
Computation:
Yield on bond = [Annual interest / Face value]100
Yield on this bond = [Annual interest receives from bond / Face value of bond]100
Yield on this bond = [450 / 10,000]100
Yield on this bond = [0.045]100
Yield on this bond = 4.5%
Salina's age is one-quarter the age of her aunt. If a represents her aunt's age, which expression represents Salina's
age?
4a
a-4
a+4
A over 4
Answer:
D. A over 4
Step-by-step explanation:
One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4
Hope this helps.
The diagram shows Maha's garden.
AB = 15.3 m.
BC= 13.6m.
AD = 24.0m.
Find the perimeter of the garden.
Answer:
perimeter = 71.4 m
Step-by-step explanation:
using the Pythagorean theorem:
CD² = 15.3² + (24 - 13.6)² = 234.09 + 108.16 = 342.25
CD = √342.25 = 18.5
perimeter = 24 + 15.3 + 13.6 + 18.5 = 71.4 m
Please please help me!
Answer:
x=19.2
Step-by-step explanation:
sin(28)=9/x
x=9/sin(28)
x=19.2
#11-14 Answers are on the side
Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?
Answer:
k = -5
Step-by-step explanation:
Direct variation formula:
y = kx
Given:
x = 2
y = -10
Work:
y = kx
-10 = 2k
k = (-10)/2
k = -5
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Answer:
[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]
Step-by-step explanation:
Since, the variables x and y are inversely proportional.
[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]
Given that O is
the center of the
circle and line
segment XY is a
tangent line, find
the measure of
angle BAX.
Answer:
Step-by-step explanation:
ahh 30° is the mystery angle . sooo
180-30 = 150 that angle BOA
then the other two angle are each 15°
so then BAX is 90-15=75°
:)
What is the slope for the line that goes through the points?
(The answer should be a fraction (rise/run)
Answer: 2/1x
Step-by-step explanation:
you follow the graph from the y intercept to the next point
up 2 over 1
Answer:
2/1 or 2
Step-by-step explanation:
from point (0,2) to (1,4) it goes up 2 and to the left 1 so the rise is 2 and the run is 1
Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase?
Answer:
$166.04
Step-by-step explanation:
take the price and add the percentage.
Answer:
166.05
Step-by-step explanation:
161.37x1.029
Review the graph of function g(x).
On a coordinate plane, a line goes from open circle (0, 0) through (negative 4, 2). A curve goes from the open circle to (2, 1) and then down through open circle (4, 0). A closed circle is at (4, negative 2).
Which table identifies Limit as x approaches 0g(x) and Limit as x approaches 4g(x), if they exist?
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 0
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 DNE
Limit of g (x) as x approaches 0 0
Limit of g (x) as x approaches 4 −2
Limit of g (x) as x approaches 0 DNE
Limit of g (x) as x approaches 4 −2
Answer:
The Answer is A) 0,0
Step-by-step explanation:
I got it right!
Help me with this question
Answer:
72m^2
Step-by-step explanation:
first split the figure into 2 parts, the square and the triangle. The area of the sqaure is base times height or 6m times 10m which gives you 60m^2. For the triangle area you multiply base times height and divide it by 2, the base is 6m and the height is 4m so it will be 4x6 divided by 2 which gives you 12m^2. Lastly you add them both up, 60m^2 +12m^2 and you get 72m^2.
20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as
The jacket at the department store originally cost $199. It was selling so well that the store decided to increase the price by 25 percent. What was the new cost of the jacket?
Answer:
$248.75
Step-by-step explanation:
25% more of 199 is 248.75
last two ahh helpp quick
Answer:
the perimeter is 30ft
Step-by-step explanation:
a square + b square = c square
so first we find your missing side
this is how we solve for that:
a square + 12 squared = 13 squared
a squared + 144 = 169
now we do 169 - 144 = 25
now to find the missing side it is 25 square root which is 5
now that we have found the missing side lengths let's find the perimeter which is: 5 + 12 + 13 = 30 ft
I hope this helped!
1) 14, 16, 18, 20, 22, ...
A) 29, 32, 35 B) 24, 26, 28
C) 34, 38, 42 D) 28, 31, 34
Answer:
What should we do the question pls
Help Plis.........................
Answer: Herba has a greater balance and Nour has more debt.
Step-by-step explanation: Herba's account balance is a positive number and is clearly greater than Nour's account balance; therefore, Herba has a much greater balance. On the other hand, Nour's account balance is a negative number and is clearly less than Herba's; therefore, Hour is in more debt since he has to pay back the money that he borrowed.
How to write 4 508 300
in words?
Mario traced this trapezoid.
Answer:
84sq. in
Step-by-step explanation:
Area of the rectangle = length * width
Given
Length = 7in
Width = 12in
Area of the rectangle = 7in * 12in
Area of the rectangle = 84sq. in
Hence the area of the rectangle is 84sq. in
6ft to 74in as a fraction in lowest terms
Answer:
[tex]\frac{72}{74}[/tex] or [tex]\frac{36}{37}[/tex]
Hope that this helps!
Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.
(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)
The difference of the original two-digit number and the number with reversed digits is........
.
Answer:
The difference of the original two-digit number and the number with reversed digits is 18.
Step-by-step explanation:
Since it's a two digit number, let x represent the tens digit and let y represent the units digit.
Thus, the original two digit number is;
10x + y.
The reverse two digit number is;
10y + x.
We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.
Thus;
5(x + y) = (10x + y) - 13
Multiplying out the bracket gives;
5x + 5y = 10x + y - 13
Rearranging gives;
10x - 5x + y - 5y = 13
5x - 4y = 13 - - - - (3)
Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;
4(x + y) = (10y + x) - 21 - - - (4)
Simplifying gives;
4x + 4y = 10y + x - 21
>> 10y - 4y - 4x + x = 21
>> 6y - 3x = 21 - - - (4)
Solving eq(3) and (4) simultaneously gives;
x = 5 and y = 3
Thus,
Original number = 53
Reversed number = 35
Difference between original and reversed number = 53 - 35 = 18
Helpppppppppppppppppppp
Answer:
192.5 m²
Step-by-step explanation:
The formula for calculating the area if a circle
= πr²
Find the area of the larger circle first, then subtract the area of the smaller circle.
The area of the larger circle
= π×(21÷2)²
= 346.4 m² (rounded to the nearest tenth)
The radius of the smaller circle
= 21÷2 - 3.5
= 7 m
The area of the smaller circle
= π×7²
= 153.9 m² (rounded to the nearest tenth)
The area of the shaded region
= 346.4 - 153.9
= 192.5 m²
what are the lengths of side a and b?
Answer:
[tex]a =\frac{\sqrt 2}{2}[/tex] m
[tex]b=\frac{\sqrt 2}{2}[/tex] m
Step-by-step explanation:
Given
The attached triangle
Required
Find a and b
To do this, we make use of the following trigonometry ratio
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{c}[/tex]
[tex]\sin(45) = \frac{b}{c}[/tex]
Where
[tex]c = 1[/tex]
So, we have:
[tex]\sin(45) = \frac{a}{1}[/tex]
[tex]\sin(45) = a[/tex]
Rewrite as:
[tex]a =\sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]a =\frac{\sqrt 2}{2}[/tex]
Similarly:
[tex]\sin(45) = \frac{b}{c}[/tex]
[tex]\sin(45) = \frac{b}{1}[/tex]
[tex]\sin(45) = b[/tex]
Rewrite as:
[tex]b = \sin(45)[/tex]
In radical form:
[tex]\sin(45) =\frac{\sqrt 2}{2}[/tex]
So:
[tex]b=\frac{\sqrt 2}{2}[/tex]
3.294e6 standard form
Answer:
3.294
Step-by-step explanation:
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
с Of
O x= -3
x = -1
Ο Ο
O x = 0
x= 3
Answer:
The answer is x=0
Step-by-step explanation:
2(0-3)+9=3(0+1)+(0)
2(-3)+9=3(1)+0
-6+9=3
3=3
Yes
