Answer:
Option B
Step-by-step explanation:
Given: all the four-digit numbers are formed using the digits 1, 2, 3, and 4 such that no digit is used twice
To find: probability that number chosen lies between 2000 and 3000
Solution:
Probability refers to chances of occurring of some event.
Total number of numbers formed using digits 1, 2, 3, and 4 = [tex]4\times 3\times 2\times 1=24[/tex]
Numbers between 2000 and 3000 start with 2. So, first digit is fixed as 2. For remaining three digits, possibilities are 4, 3, 1
So, total number of numbers lie between 2000 and 3000 = [tex]3\times 2\times 1=6[/tex]
Probability that number chosen lies between 2000 and 3000 = total number of numbers lie between 2000 and 3000/Total number of numbers formed using digits 1, 2, 3, and 4 = 6/24 = 1/4
In percentage form, Probability that number chosen lies between 2000 and 3000 = [tex]\frac{1}{4}(100)=25\%[/tex]
Probability that a four digit number formed from 1,2,3,4 is between 2000 & 3000 = 25%
Calculation of Probability
Total number of four digit numbers that can be formed by digits 1,2,3,4 (without repetition)
Possible outcomes for first digit = 4
Possible outcomes for second digit = 3
Possible outcomes for third digit = 2
Possible outcomes for fourth digit = 1
So, total ways in which mentioned 4 digit number can be formed = 4 x 3 x 2 x 1 = 24 ways
When number is between 2000 & 3000, it starts from digit 2
So, possible outcome for first digit = only 1 ( ie digit 2)
Possible outcomes for second digit = 3
Possible outcomes for third digit = 2
Possible outcomes for fourth digit = 1
So, total ways in which 4 digit number starting from digit '2' can be formed = 1 x 3 x 2 x 1 = 6 ways
Probability = Favourable outcomes / Total outcomes
6 / 24 = 0.25 = 25%
To learn more about Probability, refer https://brainly.com/question/743546?referrer=searchResults
Two fair dice are rolled.
What is the probability that the first lands on a 6 and the second lands on a oddnumber? Write your answer in simplified fraction form.
Answer:
1/12
Step-by-step explanation:
1/6 times 1/2 is 1/12
1/6 because if the first number is 6 then it is 1/6 since there are only 6 of them
1/2 because there are 3 odd numbers and 3/6 is simplify to 1/2
Answer:
1 1/2
Step-by-step explanation:
1/6*1/2
If Paul answer six questions out of 15 test questions correctly what percent of his test questions did he answercorrectly
So the right answer is 40%
look at the attached picture
Hope it will help you
Good luck on your assignment
Triangle ABC is the pre-image and Triangle ADE is the image. What transformation took place?
a. Reflection
b. Translation
c. Dilation
d. Rotation
Answer:
translation...........
Answer:
Dilation
Step-by-step explanation:
A dilation is a type of transformation that changes the size of the image. The scale factor measures how much larger or smaller the image is.
In this example, ΔABC is dilated as seen in the picture because it the picture itself got bigger.
The image, ΔADE is now a dilated version of the pre-image ΔABC
There is an attachment provided to support this answer.
help
please help me.
????????????????????????????????????
The dimensions of a right rectangular prism are 2 m, 2.5 m, and 4.5 m.
What is the volume of the prism? Enter the answer in the box.
Answer:
volume= length ×width×height
2×2.5×4.5
22.5
The volume of a right rectangular prism with sides 2 m , 2.5 m and 4.5 m will be 22.5 m³.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
All the sides of a rectangle are;
2 m , 2.5 m and 4.5 m
Now,
Since, we know that;
Volume of rectangle = Length x Width x Height
Substitute all the values we get;
Volume of right rectangular prism = 2 x 2.5 x 4.5
= 22.5 m³
Thus, The volume of a right rectangular prism with sides 2 m , 2.5 m and 4.5 m will be 22.5 m³.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
3. Solve for x and y.
T
16
80°
у
to
46
Answer:
what?
Step-by-step explanation:
The probability of winning a game is 0.7. If you played this game 40 times, how many times would you expect to win?
Answer:
28 times
Step-by-step explanation:
Just multiply 0.7 by 40
How can you use ratios using fractions?
For acute triangle XYZ below, can you find the tangent ratio of angle r°?
Answer:
Tan r = z/y
Step-by-step explanation:
Tangent = opposite / adjacent
Line XY, which is z, is opposite of angle r.
Line XZ, which is y, is adjacent to angle r.
The equation would be Tan r = z/y.
Answer: No, you can't find the tangent ratio of angle rº because the tangent ratio applies to any right triangle, and it applies to right triangles ONLY.
help please! 40 points :)
hi hi hi hi hi hi hi hi hi
Answer:
dont lie to people
Step-by-step explanation:
What is the value of x?
Answer:
B. 85*
Step-by-step explanation:
1. Understand that a triangle always has the additive degrees of 180.
2. Use x+55+40=180, to isolate x, subtract 55 and 40 from 180.
3. You get x = 85.
Answer:
B. 85 degrees
Step-by-step explanation:
According to the Triangle Sum Theorem, all the angles inside a triangle equal 180 degrees. The work is below:
180-40-55=85. The angle missing is 85 degrees.
Brainliest plz!!!
The sum of two positive integers is 40. When the smaller integer is subtracted from twice the larger, the result is 41. Find the two integers.
Answer:
13 and 27
Step-by-step explanation:
x+y=40
x- smaller
2y-x=41
x=2y-41
Now to plug it into our first equation:
3y-41=40
3y=81
y=27
x=13
What is the quotient of 91.5 ÷ 2.44?
Answer:
37.5
Step-by-step explanation:
The sum of two consecutive integers is 77. Find the integers.
Answer:
38 and 39
Step-by-step explanation:
Since the two integers are consecutive, then one is one larger than the other. Therefore, lets call them x and x+1. We can now set up the following equation:
x+(x+1)=77
2x+1=77
2x=76
x=38
x+1=39
Hope this helps!
Answer:I believe it is 39 and 38
Step-by-step explanation:
x + (x+1) = 77
2x = 76
x = 38 (1st number)
x+1 = 39 (2nd number)
Find the 4th term of the expansion of (a - sqrt(2)) ^ 8
Answer:
Applying the binomial theorem
[tex]{\displaystyle (x+a)^{n}=\sum _{k=0}^{n}{n \choose k}x^{n-k}a^{k}}[/tex]
Here we have x = -[tex]\sqrt{2}[/tex], n = 8,
=> 4th term (k = 3) would be:
[tex]{8 \choose 3}x^{8-3}a^{3}} = {8 \choose 3}(-\sqrt{2})^{5}a^{3}} = -224a^{3}\sqrt{2}[/tex]
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
30 POINTS TO WHOEVER HELPS WITH THIS I NEED IT ASAP PLEASE HELP
Answer:
4a ) Difference ⇒ $ 63.24,
4b ) 4 children
Step-by-step explanation:
4a ) If the number of children is represented by the value of x, let us substitute a family of 2 children as value of x into this equation we are given;
y = 21.08 * ( 2 ) + 85.15 ⇒ Multiply 21.08 by 2,
y = 42.16 + 85.15 ⇒ Combine like terms,
y = 127.31
If y ⇒ amount spent on grocery's, let us solve for the amount spent on 5 children, and subtract from this amount;
y = 21.08 * ( 5 ) + 85.15 ⇒ Multiply 21.08 by 5,
y = 105.4 + 85.15 ⇒ Combine like terms,
y = 190.55
Difference; 190.55 - 127.31 = 63.24,
Solution; Difference ⇒ $ 63.24
4b ) If the amount is $ 169.47, let us plug it into our given equation provided amount spent on groceries ⇒ y;
169.47 = 21.08x + 85.15 ⇒ Subtract 85.15 from either side of equation,
21.08x = 84.32 ⇒ Divide either side 21.08,
x = 4 children
Solution; 4 children
in 2009, a gullop poll found that 47% of Americans favored protection of the environment at the risk of limiting energy supplies, while 46% favored the development of u.s energy supplies even if that risked harming the environment. Another 3% felt that energy and the environment were equally important. a) based on the poll, whats the probability a person had "no opinion"? b) Whats the probability of that a respondent rated protecting the environment as equally important or more important than developing energy sources
Answer:
your
Step-by-step explanation:
welcome
What value(s) of x make the following expression undefined? x^2+ 1
2x − 4
Type only value(s) that should be excluded from the solution set.
Answer:x=2
Step-by-step explanation: 2x-4=0
2x-4=0
+4 +4
2x=4
2x/2=4/2
X=2
can someone please help me!!
Answer:
c÷4=35
Step-by-step explanation:
cost as a whole divided by 4 friends.
Answer:
c/4=$35
Step-by-step explanation:
35(4)=c, so c/4=35
In Lukas’s math class, there are 12 boys and 15 girls. Which of the following is the ratio of boys to girls in Lukas’s math class?
Answer: 4:5
Step-by-step explanation: First find a number 12 and 15 can both be divided by. I found 3, and did the following:
12/3=4
15/3=5
The ratio of boys to girls in Luka's math class is 4:5
Answer:
4:5
Step-by-step explanation:
12:15 simplifies to 4:5
Giving brainliest to whoever helps me.
Answer:
w = 2.5 cm
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 5 and h = 6, thus
A = 0.5 × 5 × 6 = 15 cm²
Thus the area of the rectangle is 15 cm²
A = lw ( l is the length and w the width )
Here l = 6 and w is to be found
6w = 15 ( divide both sides by 6 )
w = 2.5 cm
I DESPERATELY NEED YOUR HELP!! A cat gets stuck on the roof. If the latter is 12 feet long and must be placed 7 feet away from the building. How high can the ladder reach up the building to save the cat
Answer:
84
Step-by-step explanation:
Answer:
your answer is 9.7 feet
Step-by-step explanation:
you apply Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex] since you are looking for height you can subsitute x for a or b and since 12 is the largest number this will be your c which is your hypotneuse and 7 will be subsituted as a or b depending on what letter you used as your x value [tex]7^{2} +b^{2} =`12^{2}[/tex] is equal too 49 +b^2 =144 you then subtract 49 on both sides to isolate your x (b) and this gets you 95 and then you find the square root of 95 which is 9.7
(5ab-4a-8) - (9ab-5)
Answer:
Step-by-step explanation:
-4a-4ab-3
Answer:
-4ab+-4a+-3
Step-by-step explanation:
(5ab-4a-8)-(9ab-5)
distribute the negative sign
=5ab-4a-8+-1(9ab)+(-1)(-5)
=5ab+-4a+-8+-9ab+5
combine like terms
=(5ab+-9ab)+(-4a)+(-8+5)
=-4ab+-4a+-3
Rectangle Q has an area of 2 square units. Thea draw a scaled version of rectangle Q and labeled it Rectangle R. What scaled factor did these use to go from Rectangle Q to Rectangle R? Please help me
Answer:
square root of area of Q : square root of area of R
Step-by-step explanation:
Area of rectangle= L×B
Area of redrawn rectangle= l×b
ratio of area of two rectangles= (L×B)/(l×b)
ratio of sides of two rectangles=√((L×B)/(l×b))
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 70% salt and Solution B is 95% salt. She wants to obtain 50 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
Answer:
30 ounces of solution A
20 ounces of solution B
Step-by-step explanation:
x ounces of solution A
y ounces of solution B
x + y = 50
0.7x ounces of salt in the solution A
0.95y ounces of salt in the solution B
0.8*50 = 40 ounces of salt in 50 ounces of 80% solution
0.7x + 0.95y = 40
x + y = 50
0.7x + 0.95y = 40
x= 50 - y
0.7(50 - y) + 0.95y = 40
35 - 0.7y + 0.95y = 40
0.25y = 5
y = 20 ounces of solution B
x = 50 - y = 50 - 20 = 30 ounces of solution A
Which equation represents the line that passes through the points (-4, 10) and (-8, 9)?
Situation:
You invest $3,700 in an account that pays an interest rate of 8.25%, compounded continuously.
Calculate the balance of your account after 19
years. Round your answer to the nearest
hundredth.
Enter the correct answer.
Answer:
$17,740.19
Step-by-step explanation:
A = P x e^rt
= 3,700 x e^(0.0825 x 19)
= $17,740.19
Solve the given equation for x. 8−65x=10
Answer:
Exact form is [tex]x=-\frac{2}{65}[/tex]
And the decimal form is x = −0.0307692
Answer:
The value of x is -2/65
Step-by-step explanation:
The given equation is
8 - 65x = 10
We are asked to find the value of x.
Step 1: Subtract 8 from both sides
-8 + 8 - 65x = 10 - 8
-65x = 2
Step 2: Divide both sides by -65
-65x/-65 = 2/-65
x = -2/65
Therefore, the value of x is -2/65
when x increases from a to a +2, y increases by a factor of 1/4
Answer:
y=7* (0.5)^x
Step-by-step explanation:
We are given that when x increases from 'a' to 'a+2' then y must increase by a factor of 1/4=0.25.
i.e. when x=a and x'=a+2.
then y/y=0.25 where y' is the function after putting x' to the old function.
The scatterplot shows the number of days a student is absent and his or her
grade in class.
Grade in class
Days absent
What conclusion can you make about the relationship between the variables?
Answer:
C
Step-by-step explanation:
Xepa i took the test got it right