Answer:
there are 20 2 digit numbers less than 30.
out of all of them 6 are prime
then there is only a 6/20 chance that it will be a prime number, or a 30% chance.
the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
To determine the probability that a randomly chosen two-digit number less than 30 is a prime number, we first need to identify the prime numbers within this range.
The prime numbers less than 30 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Out of these ten prime numbers, we need to count how many are two-digit numbers less than 30. There are five such prime numbers: 11, 13, 17, 19, and 23.
Since we are considering all possible two-digit numbers less than 30, which is a total of 29 numbers, the probability of randomly selecting a prime number is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 29
Hence, the probability that a randomly chosen two-digit number less than 30 is a prime number is approximately 0.172 or 17.2%.
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Please help! Is it 0.0364?
Trudy has a collection of 11 dice, 4 of which have twelve sides.
If Trudy randomly rolls 4 dice in a specific order, what is the probability that just the first 2 of the chosen dice have twelve sides?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.0636
Step-by-step explanation:
The probability the first die has twelve sides is 4/11.
The probability the second die has twelve sides is 3/10.
The probability the third die does not have twelve sides is 7/9.
The probability the fourth die does not have twelve sides is 6/8.
The probability of all four events is:
4/11 × 3/10 × 7/9 × 6/8 = 0.0636
Which of the following characteristics best describes the given function of ƒ(x) = 3x − 6 ?
Answer:
a linear function with slope 3 and y intercept -6
Step-by-step explanation:
f(x) = 3x - 6 is definitely a linear function with slope 3 and y intercept -6.
Next time please be sure to share the answer choices. Thanks.
Given function of [tex]f(x)= 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
What is linear function?" Linear function is defined as the relation between variables with highest exponent equals to one".
According to the question,
Given
Function[tex]f(x)= 3x-6[/tex]
[tex]f(x)= 3x-6[/tex] is function in one variable x with highest exponent 1.
Therefore, it is a linear function.
Represents the straight line.
x increases y also increases.
No maximum and minimum point.
Compare it with general equation of line [tex]y = mx + c[/tex]
Slope of the line [tex]= 3[/tex]
Y- intercept [tex]= -6[/tex]
Hence, function of [tex]f(x) = 3x-6[/tex] represents a linear function representing straight line with no maximum and no minimum. Slope of the given line [tex]= 3[/tex] and y - intercept [tex]= -6.[/tex]
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Find the value of x. 4x+15=28
Answer:
x = 3 1/4
Step-by-step explanation:
[tex]4x+15=28\\Collect-like-terms\\4x = 28-15\\4x = 13\\Divide -both-sides-of-the-equation-by:4\\\frac{4x}{4} =\frac{13}{4} \\x = 13/4\\x = 3\frac{1}{4}[/tex]
[tex]4x+15=28[/tex]
[tex]4x+15-15=28-15[/tex]
[tex]4x=13[/tex]
[tex]\displaystyle \frac{4x}{4} =\frac{13}{4}[/tex]
[tex]\displaystyle x=3.25[/tex]
HELP!!!!!!!!!!!!!…………………
Answer:
A
Step-by-step explanation:
[tex]\sqrt[4]{\dfrac{81}{16}a^8b^{12}c^{16}}= \\\\\sqrt[4]{\dfrac{3^4}{2^4}(a^2)^4(b^3)^4(c^4)^4} = \\\\\dfrac{3}{2}a^2b^3c^4[/tex]
Therefore, the correct answer is choice A. Hope this helps!
I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.
Answer:
C
Step-by-step explanation:
The matrices are conformable for multiplication.
Multiply and sum the product of corresponding elements in row 1 of matrix A with elements in column of matrix B.
AB = [tex]\left[\begin{array}{ccc}5(2)+2(3)\\3(2)-1(3)\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}10+6\\6-3\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}16\\3\\\end{array}\right][/tex] → C
Which of the following is the solution set of the given equation?
(x - 3) - 2(x + 6) = -5
Answer: x=−10
Step-by-step explanation:
x−3−2(x+6)=−5
x+−3+(−2)(x)+(−2)(6)=−5(Distribute)
x+−3+−2x+−12=−5
(x+−2x)+(−3+−12)=−5(Combine Like Terms)
−x+−15=−5
−x−15=−5
−x−15+15=−5+15
−x=10
is the fraction 6 1/2 equal to 73?
Answer:
No 6 1/2 is 6.5, which is not 73
Step-by-step explanation:
Answer:
no, 6+1/2 equals 6'5
if you mean 6*1/2, it still doesn't equal 73 but 3
Step-by-step explanation:
find the area if the figure
Answer:
Might be wrong but try 47.5ft^2
Step-by-step explanation:
(3*2)/2=3
(3*3)/2=4.5
3+4.5+(4*10)=47.5
Solve the following equation for x: 2x − 3y = 6
Answer:
[tex] x = 3 + \frac{3y}{2} \\ [/tex]
Step-by-step explanation:
[tex]2x - 3y = 6 \\ 2x = 6 + 3y \\ \frac{2x}{x} = \frac{6 + 3y}{2} \\ x = 3 + \frac{3y}{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day !
Please give me the answer
Answer:
the median increases by 0
Step-by-step explanation:
Which of the following best explains why tan(5pi/6) doesn't equal tan(5pi/3)
1. The angles do not have the same reference angle.
2. Tangent is positive in the second quadrant and negative in the fourth quadrant
3. Tangent is negative in the second quadrant and positive in the fourth quadrant
4. The angles do not have the same reference angle or the same sign
Answer:
1. The angles do not have the same reference angle
Step-by-step explanation:
The angles are in the 2nd and 4th quadrants, so both have tangents with a negative sign. (This eliminates choices 2, 3, 4.)
The angles do not have the same reference angle.
_____
5π/6 has a reference angle of π/6.
5π/3 has a reference angle of π/3.
Answer:
The angles do not have the same reference angle.
Step-by-step explanation:
2π = 360°
π = 180°
5π/6 = [tex]\frac{5 * 180}{6}[/tex] = 150° (The reference angle here is 180° - 150° = 30°
5π/3 = [tex]\frac{5 * 180}{3}[/tex] = 300° (The reference angle here is 360° - 300° = 60°)
The reference angles are not the same and so the value of their tangents are not equal.
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
Describe how you would simplify the given (20x5y2/5x-3y7)
Steps:
1: Pulling out like terms/factors
2: Trying to factor as a Difference of Squares
Description:
Let's simplify step-by-step.
20x⁵y²/5 x -3 y⁷
=4x⁶y²−3y⁷
Answer: =4x⁶y²−3y⁷
Please mark brainliest
Hope this helps.
Answer:
Step-by-step explanation:
Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the –3 power. Then, write bases with positive exponents.
Raise the numerator and denominator to the –3 power. Then, using the power of a power property, multiply the exponents. Divide the coefficients and subtract the exponents on like bases, then write with positive exponents
Amir is starting a stamp collection. After 3 weeks he has collected 35 different stamps, and after 9 weeks he has collected 105 different stamps. What is the constant of proportionality in this direct variation?
Answer:
3/35
Step-by-step explanation:
Here, we want to know the constant of proportionality in this direct variation scenario
Since it is a direct variation, the form we are having would be;
x = ky
where x and y directly vary with each other and k is the constant of proportionality
Now, for the first relation
3 = 35k
for the second
9 = 105k
Thus k would be
3/35 which is the same as 9/105
Kindly note that 9/105 can be reduced to 3/35
So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35
The answer is A.) y =35/3x
Which of the following expressions can be used to find the area of the polygon? Select all that apply.
An irregular shape that is a rectangle with a piece missing from the upper right corner. The bottom length is twenty feet. The left side width is nine feet. The top length is eighteen feet with a rectangle cut out of the upper right corner. The right side width is six feet.
A. (9 × 20) – 6
B. (9 × 18) – (6 × 2)
C. (9 × 18) + (6 × 2)
D. (20 × 6) + (18 × 3)
E. (20 × 9) – (3 × 2)
Answer:
Option E
The shape is got using the expression: (20 X 9) - (3 X 2)
Step-by-step explanation:
to get the area of the shape, all we need to do is subtract the area of the smaller rectangular cut out from the area of the bigger rectangle.
The main trick here will be identifying the dimensions of both the larger rectangle and the smaller rectangle.
Dimensions of the larger rectangle:
Since we are told that the cut out is at the upper right corner, we can get the dimensions of the larger rectangle using the bottom length and the left width.
Thus we have Length = 20 feet, width = 9 feet
Dimensions of the smaller rectangular cutout.
We can get this by subtracting the dimensions of the top and right edges of the shape from their counterparts in the larger rectangle ( length an width)
length of cutout = ( 20-18) = 2 feet
width of cutout = (9-6) = 3 feet
Hence, the area of the shape is got using the expression:
(20 X 9) - (3 X 2)
Please help me with this. You need to find what’s the blue cone! Its due soon please help
Answer:
the first one is 4+10+10=24
the second one is 10-4=6
the third one is =4
the pink cone=10
the blue cone=4
I hope this help
and i am sure that is the answer
please give me the brainlest
What is the measure of < A, In degrees?
Answer:
D.120
Step-by-step explanation:
The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120
On a coordinate plane, a curved line with minimum values of (negative 0.5, negative 7) and (2.5, negative 1), and a maximum value of (1.5, 1), crosses the x-axis at (negative 1, 0), (1, 0), and (3, 0), and crosses the y-axis at (0, negative 6). Which interval for the graphed function contains the local maximum?
Answer:
D Over the interval [4, 7], the local minimum is -7.
Step-by-step explanation:
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30
Answer:
use -9 to multiply the first equation
use -4 to multiply the second equation.
Step-by-step explanation:
5x-4y=28.....eqn (1)×-9
3x-9y=30....eqn(2)×-4
-45x+36y=-252
-(-12x+36y=-120)
therefore, -33x÷33 =-132÷-33
x=4.
substitute (x=4) in any of the equation. I'm just going to use eqn 1.
5x-4y=28
5(4)-4y=28
20-4y=28
-4y =28-20
-4y÷-4 = 8÷-4
y=-2
so, x=4, y=-2
Note: for proof of answers substitute the answers for x and y and see if you have the same result...e.g
5(4)-4(-2)=28.
Answer:
The first equation should be multiplied by 9 and the second equation by −4.
Step-by-step explanation:
Please explain how you can find the circumference (perimeter) of a circle given its area.
Answer:
You have 2 equations:
One for area: A = πr²
One for circumference: C = 2πr
If you are given the area, you plug the area in the area equation under A. You then divide both sides by pi (π) so you are left with r². You take A/π = r² and you square root both sides to get r.
When you get r (the radius) you can then plug r into C = 2πr. You solve (multiply all numbers together) and you have your final answer as the circumference.
Step-by-step explanation:
Select correct answer pls^^
It takes 48 hours if 12 people built the same wall.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
3 x 12 x 129
Step-by-step explanation:
You can get your answer
in right triangle ABC, angle C is a right angle and sin A= sin B. What is measure of angle A
Answer: 45 degrees
Step-by-step explanation:
Plato
Maya sells candles to her 5 neighbors. Each neighbor buys 2 boxes of candles. There are 6 candles in each box. What is the total number of candles that all of her neighbors will get?
Answer:
Each neighbor will get 12 candles so in total, 60 candles will be sold.
Step-by-step explanation:
can someone help with all of of it ??
Answer:
y = -2x + 1
Step-by-step explanation:
First we're going to find the gradient (the number in the green box with the question mark).
We use the formula [tex]\frac{y2-y1}{x2-x1}[/tex] to calculate the gradient.
Let's make (-1, 3) be our (x1, y1), and (2, -3) be our (x2, y2).
Substitute the points into our formula:
gradient = [tex]\frac{(-3)-3}{2- (-1)}[/tex]
gradient = [tex]\frac{-6}{3}[/tex]
gradient = -2
Next, we're going to find the y-intercept (the number in the grey box)
Now that we have the gradient, our equation looks like this:
y = -2x + c
We use the letter c to represent the y-intercept of a linear graph.
Substitute one of the points given into the x and y in the equation. Let's use (-1, 3).
3 = -2(-1) + c
3 = 2 + c
c = 1
So our equation is y = -2x + 1
Please help me answer this solve for x
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x + 35 = 5x + 5 \\ 35 - 5 = 5x - 3x \\ 20 = 2x \\ \frac{20}{2} = \frac{2x}{2} \\ x = 10[/tex]
These are corresponding angles
hope this helps
brainliest appreciated
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√125 x √5 is equal to a) 50 b) 250 c) 25
Answer:
c. 25
Explanation:
write no more than one radical
[tex]\sqrt{125} *\sqrt{5} \\\sqrt{5} \sqrt{5}\sqrt{5}\\\sqrt{5} \sqrt{5 * 5} \\5\sqrt{25}[/tex]
simplify
[tex]5\sqrt{25} \\25[/tex]
Therefore, the answer is c) 25.
Answer:
c) 25
Step-by-step explanation:
√125 x √5= √25*5*5 = √25*25= 25
Noami visited the fabric store and purchased two yards of 45'' flat fold material at $2.29 yd. She then bought two more yards of 60'' 100$ cotton broadcloth at $5.89 yd. What was her
total bill, including a 5% sales tax?
Answer:
Total bill = $17.18
Step-by-step explanation:
Niomi purchased 2 yards of 45" flat fold material at $2.29/yd.
Cost of 2 yard of 45" flat fold material = 2.29 × 2
= $4.58
Shen then bought 2 more yards of 60" 100% cotton broadcloth at $5.89.
Cost of 2 more yards material = 5.89 × 2
=$11.78
Total cost of 4 yards cloth material with sales tax
= (4.58 + 11.78) + 5% of (4.58 + 11.78)
= $16.36 + (5% of $16.36)
= 16.36 + (0.05 × 16.36)
= 16.36 + 0.818
= $17.178
= $17.18
Perform the operation indicated, then place the answer in the proper location on the grid. Write your answer in descending powers of a. (a 3 - 2a + 5) - (4a 3 - 5a 2 + a - 2)
The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(a³ - 2a + 5) - (4a³ - 5a² + a - 2)
⇒ a³ - 4a³ - 2a - a + 5a² + 5 + 2
⇒ -3a³ + 5a² - 3a + 7
Hence "The result of the given subtraction problem of expression will be -3a³ + 5a² - 3a + 7".
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help me with this question please....
Answer:
The answer is 2940
Step-by-step explanation:
HAVE A GOOD DAY!