Answer:
C=2πr=2·π·7.5≈47.12389
Answer:
94.247780 cm is the circumference of the circle
Step-by-step explanation:
Hope this helps
Help please…………………..
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Answer:
d≈21.99
Step-by-step explanation:
If 3x = 6, then x = 2.
a. Addition b. Subtraction c. Square root d. Division
Answer:
Its D. Division
Step-by-step explanation:
Because you have to divide 3 from x and also to 6 and you will get x equals 2.
dogs to cats is 2:7 there are 90 animals how many are cats
Answer: 70 cats
Step-by-step explanation:
add 2+7 = 9
90/9 = 10
multiply 2x10 = 20 dogs
10x7= 70 cats.
Calculate each compound event probability: a. X ≤ 15, n = 20, π = .70 (Round your answer to 4 decimal places.) b. X > 8, n = 11, π = .65 (Round your answer to 4 decimal places.) c. X ≤ 1, n = 13, π = .40 (Round your answer to 4 decimal places.)
For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .
For X > 8, n = 11, π = .65 ; compound event probability is approximately 0.9198.
For X ≤ 1, n = 13, π = .40 ; compound event probability is approximately 0.6646 .
a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:
P(X ≤ 15)
= ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).
b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:
P(X > 8) = 1 - P(X ≤ 8)
= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗
Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.
Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).
c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:
P(X ≤ 1)
= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗
Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).
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A normal distribution is informally described as a probability distribution that is "bell-shaped" when graphed. Draw a rough sketch of a curve having the bell shape that is characteristic of a normal distribution.
The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .
What is a bell curve known for ?Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.
This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .
The rough sketch of the curve having the bell shape is shown attached to the question.
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I need help with this
The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3
For the equation to be true, two scenarios need to be considered:
When the expression 6x-3 is positive and equals 3:
6x-3 = 3
When the expression 6x-3 is negative and equals -3:
6x-3 = -3
By solving these two equations, we can find the equivalent statement:
Solving 6x-3 = 3:
Adding 3 to both sides gives us:
6x = 6
Dividing both sides by 6:
x = 1
Solving 6x-3 = -3:
Adding 3 to both sides gives us:
6x = 0
Dividing both sides by 6:
x = 0
Therefore, the equivalent statement to |6x-3|=3 is:
6x-3=3 or 6x-3=-3, which can be further simplified to:
6x-3=3 or 6x-3=-3
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2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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how to solve this. help me ASAP
Step-by-step explanation:
if they are parallel they must be equal
can someone find what x please?
5x + 14 = 614
How many times can a paper be folded to reach the moon
Answer:
42 folds. This fact is mentioned in search results [1], [2], [3], [4], [5], and [7]. It is also noted in search result [6] that the answer may be 45 folds instead of 42, but this is in the context of a discussion on exponential growth and is not a commonly accepted answer to the question. Finally, search result [10] poses a similar question but provides the same answer of 42 folds to reach the moon.
Step-by-step explanation:
A solid figure is composed of a cube and a pyramid as shown. What is the volume
Answer:
288 in^3
Step-by-step explanation:
1) find the volume of the cube
V = side^3 = 6^3 = 216 in^3
2) find the base surface of the pyramid:
base surface = side^2 = 6^2 = 36 in^2
3) find the height of the pyramid:
height of the solid - height of the cube = 12 - 6 = 6 in
4) find the volume of the pyramid:
V = (base area x height) / 3 = (36 x 6)/3 = 72 in^3
5) add up the two volumes
V = 216 + 72 = 288 in^3
\(\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } \)
can someone please solve this?
Answer:
\(\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}\)
Step-by-step explanation:
Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-
\(\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \)
Let's simplify the equation :-
\(\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}\)
if a is a positive number then -a^6 is
Given: m
1. Find x if the angles are vertical.
2. Find x if the angles are linear pair.
(Imagine included)
Answer:
Something!
Step-by-step explanation:
Do something then do something and thats it!
I need help with a problem
option A and D
Explanation:\(\begin{gathered} \text{Given:} \\ 6f\text{ + 3} \end{gathered}\)We need to check the options:
\(\begin{gathered} a)\text{ }6f\text{ + 7 - 4} \\ 7\text{ -4 = 3} \\ 6f\text{ + 7 - 4 = 6f + 3} \\ \text{option is right} \end{gathered}\)\(\begin{gathered} b)\text{ }6f\text{ - 3 not the same as 6f + 3 } \\ \text{(opton is wrong)} \end{gathered}\)\(\begin{gathered} c)\text{ }18f\text{ not the same as 6f + 3 } \\ \text{(option is wrong)} \end{gathered}\)\(\begin{gathered} d)\text{ }3f\text{ + 3f + 1 + 1 + 1 } \\ 3f\text{ + 3f = 6f} \\ 1\text{ + 1 + 1 = 3} \\ =\text{ 6f + 3} \\ \text{option is right} \end{gathered}\)\(\begin{gathered} e)\text{ }3f\text{ + 6 is not the same as 6f + 3} \\ \text{option is wrong} \end{gathered}\)find the smallest number, which when is diminished by 7, is divisible by 18,72, and 86.
Answer: 1015
Step-by-step explanation: We will find the factors of all the given numbers by using the prime factorization method. Then we will multiply the factors with the highest degree to find the least common multiple of the given numbers.
The $x$-intercepts of the parabola $y = x^2 + bx + c$ are $(-3,0)$ and $(5,0). $ what is the equation of the parabola?.
The equation of the parabola is y = x^2 - 2x - 3
Determining the equation of a parabolaFrom the question, we are to determine the equation of the parabola
To find the equation of the parabola y = x^2 + bx + c with x-intercepts at (-3,0) and (5,0), we can use the fact that the x-intercepts occur where the value of y is equal to zero.
Setting y = 0 in the equation of the parabola, we get:
0 = x^2 + bx + c
Now, we can use the x-intercepts to solve for the values of b and c. We know that the x-intercepts occur at x=-3 and x=5, so we can substitute these values into the equation and set it equal to zero:
0 = (-3)^2 + b(-3) + c (substituting x=-3)
0 = 5^2 + b(5) + c (substituting x=5)
Simplifying these equations we get
9 - 3b + c = 0
25 + 5b + c = 0
We now have two equations with two unknowns, so we can solve for b and c using simultaneous equations. Subtracting the first equation from the second gives:
16 + 8b = 0
Solving for b gives:
b = -2
Substituting this value of b into one of the earlier equations (e.g., the first one) and solving for c gives:
c = 9 + 6b = 9 + 6(-2) = -3
Hence, the equation of the parabola is:
y = x^2 - 2x - 3
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X+8=0 in standard form please show work
Step-by-step explanation:
X + 8 = 0
- 8 -8
X = -8
Answer: -8
A $26,000 car is on sale for 5% off with 3% tax. Interpret the change of the price as a percentage. Round to the nearest hundredth.
The new price of the car is $25441.
How to calculate the price?Given that the $26,000 car is on sale for 5% off with 3% tax.
The discount will be:
= 5% × $26000
= $1300
The tax will be:
= 3% × ($26000 - $1300)
= 3% × $24700
= $741
The new price will be:
= Amount - Discount + Tax
= $26000 - $1300 + $741
= $25441
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The photo is kinda blurry but please help me with it
The perimeter of rectangle M'N'O'P' is given as follows:
54 cm.
What is a dilation?A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.
The ratio between the areas is given as follows:
126/14 = 9.
The area is measure in square units, while the perimeter is measured in units, hence the ratio of the perimeters is the square root of the ratio of the areas, that is:
3.
Hence the perimeter of rectangle M'N'O'P' is given as follows:
3 x 18 = 54 cm.
Missing InformationThe complete problem is:
Rectangle MNOP has a perimeter of 18 cm and an area of 14 cm2. After rectangle MNOP is dilated, rectangle M'N'O'P' has an area of 126 cm2. What is the perimeter of rectangle M'N'O'P'?
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URGENT GIVING BRAINLIEST
pls help me asappppp
Answer:
A two-dimensional figure.
Step-by-step explanation:
Have an amazing day!
how many 2/3s are in 3
Answer:
7 and 1/3
Step-by-step explanation:
Use the appropriate reciprocal identity to find the exact value of sin for the given value of csc . Rationalize denominators when applicable. csc 27/5 sin
Answer:
\(\sin(\theta) = \frac{5}{27}\)
Step-by-step explanation:
Given
\(\csc(\theta) = \frac{27}{5}\)
Required
Determine \(\sin(\theta)\)
In trigonometry identity;
\(\sin(\theta) = \frac{1}{\csc(\theta)}\)
So, we have:
\(\sin(\theta) = \frac{1}{\frac{27}{5}}\)
Take inverse of the fraction
\(\sin(\theta) = \frac{5}{27}\)
The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s
Answer:
P = 2288 W
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed i.e.
\(P\propto s^2\)
or
\(P=ks^2\)
Put s = 35, P = 1760 to find k.
\(k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43\)
Now put k = 1.43 and s = 40. So,
\(P=1.43\times (40)^2\\\\P=2288\ W\)
So, the new power is 2288 W when the speed is 40 m/s.
On which number line do the points represent negative 4 and 1 over 2 and +3?
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 3rd tick mark to the left of 0. A point labeled T is placed between the 4th and the 5th tick marks to the right of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is between the 4th and 5th tick marks to the left of 0. A point labeled T is placed between the 2nd and 1st tick marks to the left of 0.
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 1st tick mark to the left of 0. A point labeled T is placed between the 2nd and the 3rd tick mark to the right of 0. answer and u get brainliest
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
Step-by-step explanation:
The points given are (-4.5,0) and (3,0), which means the points are on the x-axis. Point R (-4.5,0) will be located to the left of 0, the negative side of the number line between the 4th and 5th marks. Point T (3,0) will be located to the right of 0, the positive side of the number line at the 3rd mark.
The second answer is incorrect because point (-4.5,0) is not on the right side of 0 but on the left side.
The third answer is incorrect because point T(3,0) is place between 2 and first mark instead of the third mark.
The fourth answer is incorrect because R (-4.5,0) is placed on the first mark instead of between 4th and 5th mark.
Answer:
Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 4th and 5th tick marks to the left of 0. A point labeled T is placed on the 3rd tick mark to the right of 0.
() Which number is closest to √5?
1.7
2.2
3.4
3.1
Answer:
Step-by-step explanation:
the inverse of resistance is 1.0 / resistance. the following program computes the inverse of a measurement of resistance and then outputs the inversed value. the code contains one or more errors. find and fix the error(s). ex: if the input is 0.500, then the output should be: the inverse of resistance
The incorrect code contained two errors. The first was that the variable 'resistance' was initialized with a string value from the prompt, and the second was that the inverse value was not rounded off to two decimal places.
// incorrect code
//
// let resistance = prompt("Enter the resistance: ");
// inverse = 1.0 / resistance;
// console.log("The inverse of resistance is " + inverse);
// correct code
let resistance = parseFloat(prompt("Enter the resistance: "));
let inverse = 1.0 / resistance;
console.log("The inverse of resistance is " + inverse.toFixed(2));
1. In the incorrect code we have a variable 'resistance' that is initialized with a string value from the prompt. To fix this we have used the parseFloat function to convert this string to a float value.
2. In the incorrect code the inverse value is not rounded off to 2 decimal places. To do this we have used the toFixed(2) method to round off the inverse value to 2 decimal places.
The incorrect code contained two errors. The first was that the variable 'resistance' was initialized with a string value from the prompt, and the second was that the inverse value was not rounded off to two decimal places. To fix these errors, the parseFloat function was used to convert the string value of 'resistance' to a float value, and the toFixed(2) method was used to round off the inverse value to two decimal places.
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I need help on this, please and thank you.
Step-by-step explanation:
This is a composit figure of a 20 x 30 m rectangle and a circle of radius 10m
area of rectangle + area of circle = total area
l x w + pi r^2 = total
20 x 30 + pi (10^2) = 914.2 m^2