Answer: P (3 or odd) = 1/2
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of Odd = 3
[Since 3 is one of the odd numbers and they are overlapping, so we should subtract 1 from the number of favorable outcomes]
P (3 or odd) = Favorable / Total (refer to the attachment)
P (3 or odd) = [(1 + 3) - 1] / 6
P (3 or odd) = (4 - 1) / 6
P (3 or odd) = 3 / 6
P (3 or odd) = 1/2
Hope this helps!! :)
Please let me know if you have any questions
Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan.
How old is Ishaan now?
Answer:
Ishaan is currently 15 years old.
Step-by-step explanation:
Let B represent Ben's current age and I represent Ishann's current age.
Ben is four times as old as Ishaan. In other words:
[tex]B=4I[/tex]
Six years ago, Ben was six times as old as Ishaan. In other words:
[tex]B-6=6(I-6)[/tex]
Solve for I. Substitute:
[tex](4I)-6=6(I-6)[/tex]
Distribute:
[tex]4I-6=6I-36[/tex]
Subtract 4I from both sides and add 36 to both sides:
[tex]2I=30[/tex]
And divide both sides by two. Hence:
[tex]I=15[/tex]
Ishaan is currently 15 years old.
Answer:
Age of Ishaan = 15 years
Step-by-step explanation:
Let Ishaan's age = x years
Age of Ben = 4 * x = 4x years
6Years ago:
Age of Ishaan = x - 6
Age of Ben = 4x - 6
6 years ago, Ben was 6 times as old as Ishaan
So, Age of Ben = 6 * Ishaan's age
4x - 6 = 6 *(x-6)
4x - 6 = 6x - 36
Add 36 to both sides
4x - 6 + 36 = 6x
4x + 30 = 6x
Subtract '4x' from both sides
30 = 6x - 4x
30 = 2x
2x = 30
Divide both by 2 sides
x = 30/2
x = 15
What type of line is PQ¯¯¯¯¯¯¯¯?
A. median
B. angle bisector
C. side bisector
D. altitude
Answer:
angle bisector
Step-by-step explanation:
Since the line divided the top angle into two equal pieces we call this an angle bisector.
The reliability coefficient of scores in an end of semester examination. If the variance of the exam score is 100. What is the standard error of measurement ?
Answer:
I Will explained you youuuuuu<uuuuuuuuuu
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) Is located 5units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
in a group of 300 mice, 75% are male and 20% are albino. What is the greatest number of mice in the group that could be both female and not albino?
a) 45
b)60
c)75
d)225
the length of a rectangle is 8 cm longer than its width. find the dimensions of the rectangle if its area is 108cm
!!no links!!
Answer:
[tex]4+2\sqrt{31}\text{ by } -4+2\sqrt{31}[/tex]
Or about 15.136 centimeters by 7.136 centimeters.
Step-by-step explanation:
Recall that the area of a rectangle is given by:
[tex]\displaystyle A = w\ell[/tex]
Where w is the width and l is the length.
We are given that the length is 8 centimeters longer than the width. In other words:
[tex]\ell = w+8[/tex]
And we are also given that the total area is 108 square centimeters.
Thus, substitute:
[tex](108)=w(w+8)[/tex]
Solve for w. Distribute:
[tex]w^2+8w=108[/tex]
Subtract 108 from both sides:
[tex]w^2+8w-108=0[/tex]
Since the equation is not factorable, we can use the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}[/tex]
So, our two solutions are:
[tex]w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136[/tex]
Since width cannot be negative, we can eliminate the second solution.
And since the length is eight centimeters longer than the width, the length is:
[tex]\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136[/tex]
So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.
Simplify the variable expression by evaluating its numerical part.
p-7+56 - 12
A. p + 51
B. p+37
O c. p-51
D. p + 49
The table below represents the function f, and the following graph represents the function g.
*
-6
un
4
-3
-2.
-1
0
1
f(x) 8
-2
-8 -10
-8
-2
8.
22
у
4
12
6
- 2
2
4
6
2
-4
6
Complete the following statements.
The functions fand g have
The functions f and g have different axis of symmetry
The y-intercept of f is higher than the y-intercept of g
Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g
The known value in the question includes the following
The given table of f(x) and x, from which we have;
The point of the minimum value, which is the vertex = (-3, -10)
The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3
The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)
Over the interval [-6, -3], the average rate of change of f = (-10 - 8)/(-3 -(-6)) = -6
From the graph of g(x), we have;
The axis of symmetry is the line x = -3
The y-intercept = (0, -2)
Over the interval [-6, -3], the average rate of change of g ≈ (6 - (-2))/(-3 -(-6)) = 8/3
Therefore, we have the correct options as follows;
The functions f and g have different axis of symmetry
The y-intercept of f is higher than the y-intercept of g
Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g
Learn more about parabola here;
https://brainly.com/question/22213822
The perimeter of a rectangular garden is 4534 m. The length is 1125 m more than thrice the width. Find the length and the width of the rectangular garden. (Estimate to the nearest tenths place and verify the reasonableness).
Answer:
length = 1696 m
breadth = 571 m
Step-by-step explanation:
perimeter = 4534 m
let breadth be b
so length = b + 1125 m
so
perimeter of rectangular garden = 2(l+b)
4534 m = 2(b+1125m+b) {substituting the value}
or, 4534 m = 2(2b+1125m)
or, 4534 m = 4b + 2250 m
or, 4534 m - 2250m = 4b
or, 2284m = 4b
or, b = 2284m/4
so, b = 571m
so, l = b + 1125 m
= 571 m + 1125m
= 1696 m
A block has a mass of 880g and a volume of 80 cm Calculate the density
Answer:
Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]
so, 880g/80cm³
=11gcm³
(x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
Answer:
[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]
[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]
[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]
[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]
[tex]=3x^4-2x^3-2x^2+4x-10[/tex]
[tex]OAmalOHopeO[/tex]
write the equation of the line that goes through points (0,4) (6,16)
Answer: Y= 2x
Step-by-step explanation:
Answer:
y=2x-4
Step-by-step explanation:
firstly find the gradient
m=y2-y1/x2-x1
16-4/6-0
12/6
m=2
then use the equation to find the answer
y-y1=m(x-x1)
y-4=2(x-0)
y-4=2x-0
y=2x-4
Câu 1: Trong các mệnh đề sau, mệnh đề nào là không đúng ?
A. Nếu a // b và (α) vuông góc a thì (α) vuông góc với b
B. Nếu (α) // (β) và a vuông góc với (α) thì a vuông góc với (β)
C. Nếu a và b là hai đường thẳng phân biệt và a vuông góc (α), b vuông góc với (α) thì a // b
D. Nếu a // (α) và b vuông góc a thì b vuông góc (α)
Answer:
Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language
Step-by-step explanation:
Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English
PLEASE HELP!
The distance to the nearest exit door is less than 100 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d < 100
Step-by-step explanation:
the distance is less than (<) 100 ft
d < 100
The sentence translates to the inequality d < 100
There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).
[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x=-5Step-by-step explanation:
3(x+1)=12+4(x-1)
3(x+1)=8+4x
3x+3=8+4x
3x+3−4x=8
-x+3=8
-x=8-3
-x=5
-x(-1)=5(-1)
-x(-1)=-5
x=-5
Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation
Step-by-step explanation:
The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.
Mackenzie is designing a rectangular greenhouse. Along one wall is a 7-foot storage area and 5 sections for different kinds of plants. On the opposite wall is a 4-foot storage area and 6 section for plants. All the plant sections are equal length. What is the length of the wall?
Answer:
3 ft
Step-by-step explanation:
4 + 6x = 7 + 5x
6x - 5x = 7 - 4
x = 3
Calculate the volume of each solid. Use 3.14 for pi. Round answers to the nearest whole number.
Answer:
See below.
Step-by-step explanation:
Rectangle Volume = Length x Width x Height
Rectangle Volume = 15 x 6 x 8
Rectangle Volume = 720 in^2
Cube volume = s^3
Cube volume = 9^3
Cube volume = 729
Cylinder Volume = [tex]\pi[/tex]r^2h
Cylinder Volume = [tex]\pi[/tex]4^214
Cylinder Volume = [tex]\pi[/tex]1614
Cylinder Volume = [tex]224\pi[/tex]
Answer
720, 729, 703
Step-by-step explanation:
your welcome
I need help on this this is very hard. I need the answer right now. Wrong answer=report
Câu 1: Giá trị
2
3
2020 -5 lim
- 2020
n
n n
bằng:
A.
2.
B.
.
C.
0.
D.
2
.
3
Answer:
i dont understan your language plz speak in englosh
The ages of several trees in a park are shown below:
2 years, 28 years, 2 years, 20 years, 22 years
What is the mean age of these trees?
56 years
12 years
14.8 years
26 years
Answer:
C or 14.8
Step-by-step explanation:
You just find the mean.
Arrange the numbers, add them then divide by the amount of numbers.
Hope it helps c:
Please help. Somebody give an answer to this question please. I need a step by step explanation as well.
Answer:
15d² + 7d - 4
Step-by-step explanation:
Distribute
(5d + 4)(3d -1)
5d (3d - 1) + 4(3d - 1)
Distribute
15d² - 5d + 4(3d- 1)
Distribute
15d² - 5d + 12d- 4
Simplify
15d² + 7d - 4
question on image
....
Answer:
1/5
Step-by-step explanation:
8/40->4/20->2-10->1/5
Hope this helps!
Answer:
1\5
Step-by-step explanation:
8/40 = 4/20 = 2/10 = 1/5
Suppose you invest $1800 at an annual interest rate of 3.3% compounded
continuously. How much will you have in the account after 1.5 years?
Answer:
$1,890
Step-by-step explanation:
To find the amount, we use the compound interest formula here
we have this as;
A = P(1 + r/n)^nt
Where ;
P is the amount invested which is $1,800
r is the interest rate which is 3.3% annually (3.3/100 = 0.033)
n is the number of times yearly interest is compounded which is 1 time yearly
t is the number of years which is 1.5 years
substituting these values, we have
A = 1800( 1 + 0.033)^(1 * 1.5)
A = 1,890
Find the volume of the prism
Answer:
A prism is a polyhedron with two parallel, congruent faces called bases that are polygons
Find the missing variables
Answer:
90
Step-by-step explanation:
Answer:
[tex] \cos(60) = \frac{9}{a} \\ \frac{1}{2} = \frac{9}{a} \\ a = 18 \\ \\ \\ \tan(60) = \frac{b}{9} \\ \sqrt{3} = \frac{b}{9} \\ b = 9 \sqrt{3} [/tex]
I hope I helped you ^_^
Venn diagram of b union b
Answer:
let b union b be
B={2,4,6,8} and B= {1,2,3,4,5}
then B union B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Venn diagram of b union b is in the attachment
Hope it is helpful to you
Which are the
solutions of x2 = -7x - 8?
Answer: I think the answer is D
Step-by-step explanation:
Answer:
D is the answer (The last option)
Step-by-step explanation:
how do I solve this pls help khan academy is no smart
Answer:
3. If that doesn't work, try 1/3
Step-by-step explanation:
Figure A has a length of 9 and figure B has a length of 3. 9 divided by 3 is 3.
ahla
S : Assignment
乡,一石
Answer
what's the question?
Step-by-step explanation:
looks like your question is missing information
