39. Find the probability of selecting a multiple of 2 or a
multiple of 7 from the integers 1-20.
Answers
The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcome = 20
Total number of favourable outcome (multiple of 2 or a multiple of 7):
E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}
n(E) = 11
The probability = 11/20 = 0.55 or
= √0.3025
Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
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Related Questions
For each graphically defined function below, state the domain, the range, and the intervals on which the function is increasing, decreasing, or constant.
Domain:
Range:
Increasing:
Decreasing:
Constant Intervals?
Answers
Answer:
See below ~
Step-by-step explanation:
Domain : range of x -values
Minimum = -2Maximum = 3Domain = [-2, 3]Range : possible y-values
Maximum point is 2Minimum point is -2Range = [-2, 2]Increasing :
[-2, 0]Decreasing :
x = [0, 3]Constant :
None
Which is the graph of g(x) = (0.5)* + 3 – 4?
Answers
Answer:
The graph will be an exponential function that crosses the y-axis at about (0, -4).
Which expression is equivalent to 50E(n(41+3))?
n=1
Answers
Answer:
its D
Step-by-step explanation:
equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}
Nathaniel bought headphones online for $22. He used a coupon code to get a 40% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
Answer:
8.80 if it's the 40°/.
2.20 if it's the 10°/. processing fee
13.20 for how much he paid
1/3 Person who anwsner get brainlist
Answers
Answer:
1/3 is the same as 0.33...(The decimal continues on from here.)
Hunter misses 10% of the free throws he attempts in a season. How many total free throws did he attempt if he missed 54?
Answers
Answer:
540
Step-by-step explanation:
If you divide 540 by 100 (100%) you get 5.4 then multiply it by 10 (10%) to get 54 again. THIS WAS TO CHECK TO GET: 10% or 100% is 10 so multiply 54•10=540
Hope this helps! ;-)
PLEASE HELP!! BOTTOM QUESTION!!
Answers
Answer:
7/10
Step-by-step explanation:
There are 20 students in the class.
The scores are :
100, 95, 88, 62, 74, 90, 100, 58, 72, 60, 85, 90, 70, 72, 54, 100, 60, 80, 75, 51
* scores ≥ 70 have been highlighted in bold
Out the 20, 14 students have passed.
Hence, the fraction of students passed :
14/207/10A laptop computer is purchased for 1700 after each year the resale value decreases by 25 percent. what will the resale value be after 3 years?
Answers
so $1,700 * .75 = $1,275
65. show that of all the isosceles triangles with a given perimeter, the one with the greatest area is equilateral.
Answers
Answer:
Below.
Step-by-step explanation:
I can do this using calculus but the algebra will be a bit messy.
Let the 2 equal sides of isosceles triangle be x and the base be y units long.
Then perimeter p = 2x + y.
Area A = 0.5yh where h is the altitude of the triangle.
h = sqrt [x^2 - (0.5y)^2]
= [x^2 - (0.5y)^2]^0.5
So A = 0.5y * [x^2 - (0.5y)^2]^0.5
From the perimeter formula y = p - 2x so:
A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5
A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5
A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5
A = (0.5p-x) * [xp - 0.25p^2]^0.5
We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.
We use the product rule:
dA/dx = (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p - 1(xp - 0.25p^2)^0.5 = 0
p(0.5p - x) / (2((xp - 0.25p^2)^0.5 - (xp - 0.25p^2)^0.5 = 0
p(0.5p - x) / (2((xp - 0.25p^2)^0.5 = (xp - 0.25p^2)^0.5
Now multiplying though by (2((xp - 0.25p^2)^0.5 :-
p(0.5p - x) = 2 (xp - 0.25p^2)
0.5p^2 - px = 2px - 0.5p^2
p^2 = 3px
x = p^2/3p = p/3
So for a maximum value of the area x = p/3.
But y = p - 2x
= p - 2(p/3)
= p - 2/3p
= p/3
- but we've just shown that x = p/3
That means that x = y and the triangle is Equilateral.
The formula for the area of a trapezoid is A = /h(b₁ + b₂). Which equations are
equivalent to the formula?
2A
Oh
b₁+ b₂
2A
0b₁ = ²4-b₂
2A
0_b₂ = 24-h
b₁
=
Answers
Answer:
Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation. A = 75((125+81)/2) A = 75(206/2) A = 75(103) A = 7725 The area of the field is 7725 square feet.
Step-by-step explanation:
The equivalent equations of the trapezoid are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The formula for the area of a trapezoid can be rearranged in different ways to express the same relationship between the height, the bases, and the area.
Here are a few equivalent equations:
h = 2A / (b₁ + b₂) (solve for h)
b₁ = 2A / h - b₂ (solve for b₁)
b₂ = 2A / h - b₁ (solve for b₂)
A = (b₁ + b₂) x h / 2 (multiply both sides by 2 and divide by h)
These equations can be used interchangeably to calculate the area, height, or base of a trapezoid, depending on which variables are known or given.
Thus,
The equivalent equations are:
h = 2A / (b₁ + b₂)
b₁ = 2A / h - b₂
b₂ = 2A / h - b₁
A = (b₁ + b₂) x h / 2
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i need help please thanks
I will give brainlessly
Answers
~Answer~
_____________________________________
1. yes ±4
2. no, it's between 9 and 4
3. no, it's between 25 and 9
4. yes ±7
5. yes ±11
6. no, it's between 81 and 64
~Step-by-step explanation~
_____________________________________
ok I'll walk you through this
1. x²=16
x = ±4 because (-4)(-4) is 16 and (4)(4) is also 16
4. x²=49
x=±7 because (-7)(-7)=49 and (7)(7) is also 49
5. x²=121
x=±11 because (-11)(-11)=121 and (11)(11)=121.
_____________________________________
Hope this helps and have a good day!
P.S. Brainliest :)
What is the phenotype of a Squibble that is heterozygous for the trait of fur color?
Trait
AA
Aa
Number of Fingers 4
4
Fur color
Blue
Tail Length
Short
Eye Color
Brown
Green
Short
Brown
3
Gray
Long
Green
Answers
Answer:
charlie brown chicken sandwich
Step-by-step explanation:
need help on this one!!
Answers
Step-by-step explanation:
the square root of x squared is x.
this means the( cube root of x ) to the power of 6 is what we need
see picture 40 points
Answers
Answer:
volume = 216cm
Step-by-step explanation:
V = (1/2) × b × h × l
V = 1/2 × 6 × 8 × 9
v=216
Answer:
216 cubic centimeters
Step-by-step explanation:
To calculate the volume of a triangular prism, we can use the formula:
V = (length x width x height) / 2
To solve this problem, in particular, all we have to do is substitute the values:
V = (8 x 6 x 9) / 2
V = 216 cubic centimeters
Hope this helps!!
prove that the point [1,2] is equidistance from the point [4,-2], [5,-1] and [-2,6]
Answers
Step-by-step explanation:
Proof: equidistance means at an equal distance from two points
so: Take the distance formula and then plug the values in and compare.
Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
Identify the median. Round to the nearest tenth.
Answers
Answer:
The answer is 14
Step-by-step explanation:
Put the numbers in order from least to greatest
9,8,11,14,15,18,24
Then you find the number in the middle and in this case that number would be 14
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
77. the volume of a cube is increasing at a rate of [tex]10 \mathrm{~cm}^{3} / \mathrm{min}[/tex] . how fast is the surface area increasing when the length of an edge is [tex]30 \mathrm{~cm} ?[/tex]
Answers
Answer:
[tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex]
Step-by-step explanation:
Given
[tex]\displaystyle \frac{dV}{dt}=10\:\text{cm}^3/\text{min}\\ \\V=s^3\\\\SA=6s^2\\\\\frac{d(SA)}{dt}=?}\:;s=30\text{cm}[/tex]
Solution
(1) Find the rate of the cube's edge length with respect to time at s=30:
[tex]\displaystyle V=s^3\\\\\frac{dV}{dt}=3s^2\frac{ds}{dt}\\ \\10=3(30)^2\frac{ds}{dt}\\ \\10=3(900)\frac{ds}{dt}\\\\10=2700\frac{ds}{dt}\\\\\frac{10}{2700}=\frac{ds}{dt}\\\\\frac{ds}{dt}=\frac{1}{270}\text{cm}/\text{min}[/tex]
(2) Find the rate of the cube's surface area with respect to time at s=30:
[tex]\displaystyle SA=6s^2\\\\\frac{d(SA)}{dt}=12s\frac{ds}{dt}\\ \\\frac{d(SA)}{dt}=12(30)\biggr(\frac{1}{270}\biggr)\\\\\frac{d(SA)}{dt}=\frac{360}{270}\biggr\\\\\frac{d(SA)}{dt}=\frac{4}{3}\text{cm}^2/\text{min}[/tex]
Therefore, the surface area increases when the length of an edge is 30 cm at a rate of [tex]\displaystyle \frac{4}{3}\text{cm}^2/\text{min}[/tex].
if 110% of a number is 528, then the number is:
a) 475.2
b) 52.8
c) 480
d) 580.8
e) 475
Answers
Answer:
c) 480
Step-by-step explanation:
Any percentage can be converted to a number ratio by dividing by 100%.
E.g. 100%/100% = 1
Following this concept, we can find the equivalent of 110% :
110%/100% = 1.1
Since 528 is 1.1 times the number we are looking for, we just need to divide 528 by 1.1 to find our number. This is because 1.1/1.1 = 1
528/1.1 = 480
Hope this helped!
Determine the general solution for sin(x-30°) = cos 2 x
Answers
x-30=90-2x + 360k , where k= 0,1,2,3.......
3x= 120+360k
x= 40+120k
solve for x:2x^2-5x-3=0
Answers
Answer:
The value of x = 3 or -1/2
Step-by-step explanation:
2x²-5x-3=0
=> 2x² - 6x + x - 3 =0
=> 2x ( x - 3) + 1 ( x -3) =0
=> (2x+1) ( x-3) =0
x = 3 or x = -1/2
Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)
Answers
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Write the equation of a line perpendicular to y=-12x+2 going
through (0, -1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, let's take a look at our provided information:-
A line [tex]\text{y=-12x+2}[/tex]A point (0, -1)The line [tex]\text{y=-12x+2}[/tex] is perpendicular to the line that goes through (0, -1)If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.
So we take the slope of the given line, which is -12, change its sign from minus to plus:-
[tex]\Large\textit{12}[/tex]
And now, We flip the number over:-
[tex]\Large\text{$\displaystyle\frac{1}{12}$}[/tex]
Now that we've found the slope of the line, let's find its equation.
The first step is to write it in point-slope form as follows:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace letters with numbers,
[tex]\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}[/tex]
On simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}[/tex]
Subtracting 1 on both sides,
[tex]\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}[/tex]
[tex]\Uparrow\texttt{Our equation in slope-intercept form}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Carlos wrote a check for $44.92 to pay his gas bill. he’ll use the check register to record his transaction. what will be his new balance? a check register has a balance of 415 dollars and 1 cent. $345.09 $370.09 $434.93 $459.93
Answers
His new balance after the check is deducted will be $370.09
How to determine his new balance?From the question, we have the following parameters:
Initial Balance = $415.01 Check amount = $44.92The new balance is then calculated using:
New balance = Initial Balance - Check
So, we have:
New balance = 415.01 - 44.92
Evaluate
New balance = 370.09
Hence, his new balance will be $370.09
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Answer:
c
Step-by-step explanation:
how do I find the x intercepts and vertex of y=(x+3)(x+5)-
Answers
Answer:
See below ~
Step-by-step explanation:
Finding the x-intercepts :
y = 0 is the condition for an x-intercept0 = -(x + 3)(x + 5)x + 3 = 0 ⇒ x = -3x + 5 = 0 ⇒ x = -5The x-intercepts are : (-3, 0) and (-5, 0)Finding the vertex :
Expand the polynomialy = -(x + 3)(x + 5)y = -(x² + 3x + 5x + 15)y = -(x² + 8x + 15)y = -x² - 8x - 15Vertex = (h, k)h = -b/2a = 8/2(-1) = -4k = -D/4ak = -(-4 + 3)(-4 + 5)k = -(-1)(1)k = 1The vertex is : (-4, 1)I need help with math!!! please help
Answers
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
6x-6 + 7x+1 +55 = 180
Combine like terms
13x+50=180
Subtract 50 from each side
13x+50-50=180-50
13x = 130
Divide by 13
13x/13 =130/13
x = 10
The answer is A!
From this, we will get the equation
(13x -5) + 55 = 180
+ 5 on both sides
13x + 55 = 185
-55 on both sides
13x = 130
Divide by 13 on both sides
x = 10
2 people can plough a field in 5 hours how long would it take 3 people?
Answers
Answer:
7 hours and 30 minutes
Step-by-step explanation:
because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes
Help please lol???????
Answers
Step-by-Step Explanation:
We know, the Surface Area of Cylinder:
= 2pi*r(r + h)
r = 5 cm
h = 7 cm
Therefore,
= 2 * pi * r (r + h)
= 2 * 3.14 * 5 (5 + 7)
= 2 * 3.14 * 60
= 376.8
Therefore, the T.S.A is 376.8 cm^2
Please mark as Brainliest if it helped!
Mike paid $\$1.25$ for a stamp three years ago. He was just offered double that amount for the stamp. Assuming the stamp's offer price doubles every three years, how many dollars will he be offered in 12 more years
Answers
Answer: $40
Step-by-step explanation:
If the worth of the stamp is double that of its original price 3 years ago ($1.25), the current price of the stamp should be $2.50. If that doubles every 3 years the answer should look something like this:
3 years: $5 (2.50X2=5)
6 years: $10 (5X2=10)
9 years: $20 (10X2=20)
12 years $40 (20X2=40)
In 12 years the stamp will be worth $40.
Help its a math problem * please see attached images below ....The graph of f(x) is shown below on the coordinate grid. Which graph shows the transformed linear function f(x) +2?
Answers
Answer:
4th graph
Step-by-step explanation:
I believe that they are just saying f(x) and then adding 2 to each of the corrdnants to x+2 y+2
Answer:
See below ~
Step-by-step explanation:
The +2 in the equation : f(x) + 2, indicates the y-intercept of the graph lies at (0, 2). The 4th graph (attached below) is the correct answer.
A recipe calls for One-fourth cup of broth. The largest volume-measuring tool that Tabitha has is a teaspoon. She knows that there are 16 tablespoons in 1 cup and 3 teaspoons in 1 tablespoon. How many teaspoons of broth should she use?
1 and one-third teaspoons
12 teaspoons
19 teaspoons
21 and one-third teaspoons
Answers
Answer:
12 teaspoons
Step-by-step explanation:
Find the distance between the points (1,2) and (9,8)
Answers
Answer:
10
Step-by-step explanation:
✓(y1-y2)²+(x1-x2)²
✓(2-8)²+(1-9)²
✓(-6)²+(-8)²
✓36+64
✓100
=10
Answer:
10
Step-by-step explanation: