There is no most common number among the first million digits of pi.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Pi is an irrational number that continues infinitely without repetition or pattern.
Therefore, in theory, each digit from 0 to 9 should appear with equal frequency among the first million digits of pi.
In practice, however, it is not always the case due to the random nature of the digits.
That being said, there have been computational studies that have analyzed the frequency distribution of the digits in the first million digits of pi, and the results show that each digit appears with almost the same frequency.
Therefore,
There is no most common number among the first million digits of pi.
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I really need help with this question pls help
Answer:
Step-by-step explanation:
To find the lengths, we use the Pythagorean theorem, which states (a^2)+(b^2)=(c^2) where c^2 is the hypotenuse, length opposite of the right angle. For the first set of coordinates J and K, we find the horizontal and vertical differences between them to represent sides a and b. Which would be a horizontal length of 8 and a vertical length of 3.
(8^2)+(3^2)=c^2
73=c^2
c=square root of 73
(I've added a picture of a graph I drew below)
I would suggest you draw graphs of the points and use the Pythagorean theorem to conceptualize it, but I'll list the rest of the measurements below.
MN:
Vertical length between 2 and -3 = 5
Horizontal length between 7 and 1 = 6
(6^2)+(5^2)=c^2
36+25=c^2
61=c^2
c= square root of 61
PQ:
Vertical length between -6 and -2 = 4
Horizontal length between -8 and -3 = 5
(5^2)+(4^2)=c^2
25+16=c^2
41=c^2
c= square root of 41
As for the "checking all the statements" part, none of them are true because none of the lengths are equal.
Hope this helps! (Sorry for being so late)
1. If there is a decrease of 31 percent, what decimal do we multiply by to get the amount after the decrease?
2. If there is an increase of 16 percent, what decimal do we multiply by?
Answer:
1. 0.69
2. 1.16
Step-by-step explanation:
1.
Decrease of 31% = 100% - 31% = 69%
Convert 69% to a decimal = 69/100 = 0.69
2.
Increase of 16% = 100% + 16% = 116%
Convert 116% to a decimal = 116/100 = 1.16
Based on the results in the table, which is the best prediction of how many times Paola will draw a blue or a red marble in 5,000 trials?
Answer:
about 4,400 times
Step-by-step explanation:
its simple
with any set of scores that is normally distributed what percentage of the total area falls,
1. between the mean and a score that lies one standard deviation below the mean?
2. above a score that lies one standard deviation below the mean and one standard deviation above the mean?
3. between a score that lies two standard deviations below the mean and two standard deviations above the mean?
Answer:
1.) Approximately 68%We can summarize use of the standard deviation as a yardstick with the Empirical Rule, also known as the 68-95-99.7% Rule. In any normal distribution with mean μ and standard deviation σ : Approximately 68%of the data fall within one standard deviation of the mean.
Step-by-step explanation:
How do you solve this multiplying decimals problem 0.14 x 0.27 ?
Answer:
0.0378[tex]\begin{gathered} \: \end{gathered}[/tex]
[tex] \tt0.14 \times 0.27[/tex][tex] \tt = \red{0.0378}[/tex][tex]\begin{gathered} \: \end{gathered}[/tex]
Simplify
7^8x7^3x7^4/7^9x7^5
Answer:
x^222/7
Step-by-step explanation:
Equation at the end of step 3: x74
((78 • x73) • ———) • x75
79
STEP 4 :Multiplying exponential expressions : 4.1 x147 multiplied by x75 = x(147 + 75) = x222
Identify whether each phrase is an expression, equation, or inequality.
Answer:
Step-by-step explanation:
Expression => | -2 |
Equation => 6 - 1 = 2 + 3
Inequality => 8^m > 64
Answers:
Expression is [tex]|-2|[/tex]
Equation is [tex]6-1 = 2+3[/tex]
Inequality is [tex]8^m > 64[/tex]
====================================================
Explanation:
If it has an equal sign, then it's an equation.
If it has an inequality sign of one of the following [tex]< , \ > , \ \le, \ \ge[/tex], then it's an inequality.
Otherwise, it's an expression.
Question 5 (Solving Problema) lon 5 Solving Problems] Write 24 18 in slmplest form
Answer:
4/3
Step-by-step explanation:
reduce the fraction by a factor of 6
pretty sure you mean write 24/18 in simplest form so that's the answer
Hope this helps! :)
The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes for producing fruit cans and y = number of minutes for producing vegetable cans.
That means that the maximum number of fruit cans is 16 and the maximum number of vegetable cans is 6.
Hope that helps!
The answer is... the max for fruit cans is 16 fruit cans, and for vegetables is 6.
you run a delivery service between two small islands which are connected by a bridge and connected to the mainland by several bridges as shown in the picture below. the river separates the top mainland from the bottom mainland. you cannot get from the top of the mainland to the bottom of the mainland without passing through an island.
Answer:
"Through" (and any subsequent words) was ignored because we limit queries to 32 words.
Can someone tell me what is 1350 divided by 225 step by step?
what is the probability of spinning an A if you have 2 A on the 6 letter spinner?
Answer:
1/3
Step-by-step explanation:
p(A) = (number of A's on the spinner)/(total number of letters on the spinner)
p(A) = 2/6 = 1/3
solve the z for 57--10z+7
Answer: 57=-10z+7 Answer: z=-- -
Step-by-step explanation: 57=-10z+7 Answer: z=-- -
what is the inequality shown
Answer:
[tex] - 3 \leqslant x < 2[/tex]
Step-by-step explanation:
the black dot on -3 represents less than equal to X and the white dot on 2 represents X is less than 2
On his math homework assignment, Steven solved six problems correctly and eight incorrectly. Write a ratio comparing Steven’s number of incorrect answers to the total number of problems. *
Answer: 8:14
Step-by-step explanation:
Your answer would be 8:14, as Steven answered 8 questions incorrectly along with the total number of problems being 14 when you add his correct answers with his incorrect ones: "6+8"
2. Find the stationary points for the function
[tex]y = \frac{1}{3} {x}^{3} - \frac{1}{2} {x}^{2} - 6x + 7[/tex]
and determine the nature of each points by using the second derivative test.
Answer & step-by-step explanation:
Stationary points are the points where the first derivative is equal to zero.
Let's calculate it using the power rule (exponent comes forward, decrease exponent by 1) and the fact that the derivative is a linear operation (that is [tex]D[a\ f(x) + b\ g(x)] = a Df(x) + b Dg(x)[/tex])
The first derivative is then
[tex]y' = \frac13 (3x^2) - \frac12 (2x) -6 = x^2-x-6 = (x+2)(x-3)[/tex]
Note that the last passage is not strictly needed, but it's really helpful to find stationary points, when in this next passage we set it equal to zero. Alternatively, you can use the quadratic formula if you can pull the factors out of your head right away.
[tex]y'=0 \rightarrow (x+2)(x-3) = 0 \implies x=-2 || x=3[/tex]
These two point could be maxima, minima, or inflection points. To check them you can either see how the sign of the first derivative goes, or check the sign of the second derivative, as you're required.
The rules states that if the second derivative evaluated in that point is negative we have a maximum, if it's positive we have a minimum, and if we have a zero we keep derivating until we get a non-zero value.
In our case, the second derivative we get by calculating the derivative again and we get [tex]y'' = 2x-1[/tex] . Evaluating it at both points we get
[tex]y''(-2) = 2(-2)-1 = -5\\y''(3) = 2(3) -1 = 5[/tex]
so -2 is a maximum and 3 is a minimum.
Answer:
[tex]\left( 3, -\dfrac{13}{2} \right) \textsf{minimum}[/tex]
[tex]\left( -2, -\dfrac{43}{3} \right)\textsf{maximum}[/tex]
Step-by-step explanation:
To find the stationary points, differentiate, set to zero, and solve for x. Input found values of x into original equation to find y-coordinates.
[tex]y=\dfrac13x^3-\dfrac12x^2-6x+7[/tex]
[tex]\implies \dfrac{dy}{dx}=3\cdot \dfrac13x^{(3-1)}-2 \cdot \dfrac12x^{(2-1)}-6x^{(1-1)}+7\cdot0[/tex]
[tex]\implies \dfrac{dy}{dx}=x^2-x-6[/tex]
[tex]\dfrac{dy}{dx}=0[/tex]
[tex]\implies x^2-x-6=0[/tex]
[tex]\implies (x-3)(x+2)=0[/tex]
[tex]\implies x=3, x=-2[/tex]
[tex]\textsf{at }x=3: y=\dfrac13(3)^3-\dfrac12(3)^2-6(3)+7=-\dfrac{13}{2}[/tex]
[tex]\textsf{at }x=-2: y=\dfrac13(-2)^3-\dfrac12(-2)^2-6(-2)+7=\dfrac{43}{3}[/tex]
To determine the nature of each point, differentiate again, input found values of x into the second derivative. If positive then minimum point, if negative then maximum point.
[tex]\dfrac{d^2y}{dx^2}=2 \cdot x^{(2-1)}-x^{(1-1)}-6 \cdot0[/tex]
[tex]\implies \dfrac{d^2y}{dx^2}=2x-1[/tex]
[tex]\textsf{at }x=3:\dfrac{d^2y}{dx^2}=2(3)-1=5 > 0\implies \textsf{minimum}[/tex]
[tex]\textsf{at }x=-2:\dfrac{d^2y}{dx^2}=2(-2)-1=-5 < 0\implies \textsf{maximum}[/tex]
max points easy math problem
Solution:
Given:
x = -4y = 4Substitute the values into the equation:
x⁶ - x/4y=> [(-4)⁶] - (-4)/4(4)Simplify the numerator and the denominator:
=> [(-4) x (-4) x (-4) x (-4) x (-4) x (-4)] + 4/16=> [(-64) x (-64)] + 4/16=> [4096] + 4/16=> 4100/16Simplify the fraction:
=> 4100/16=> 1025 x 4/4 x 4=> 1025/4Correct option is B.
Answer:
[tex][-\frac{1023}{4} ][/tex]
Step-by-step explanation:
[tex]\frac{x^6-x}{4y}[/tex]
x = -4
y = 4
Replace all the variables with the corresponding values given:
[tex]\frac{-4^6-(-4)}{4(4)}[/tex]
Now solve,
-4 to the power of 6 is equal to -4096
[tex]\frac{-4096-(-4)}{4(4)}[/tex]
we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:
[tex]-4096 + 4[/tex]
[tex]-4092[/tex]
[tex]\frac{-4092}{4(4)}[/tex]
4(4) is equal to 16
[tex]\frac{-4092}{16}[/tex]
When divided, you'll get a mixed fraction of [tex]-255\frac{3}{4}[/tex]
To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.
[tex]-255 * 4 + 3[/tex]
[tex][-\frac{1023}{4} ][/tex]
can you help me solve for slope
Please help me ASAP
( I will mark brainliest
Answer:
3w-4.5
Step-by-step explanation:
im pretty sure this is right. good luck
How many capulets and montages are there
Answer:
i think the answer would be 4c + 6m = 100, 8c + 12m = 200
Step-by-step explanation:
A teacher states that line
M
R
is perpendicular to line
X
Y
. Which statement best describes the lines?
The lines always remain the same distance from each other.
The lines always remain the same distance from each other.
The lines intersect at a
90
°
90
°
angle.
The lines intersect at a 90 ° angle.
The lines never intersect.
The lines never intersect.
The lines share a common endpoint.
The lines share a common endpoint.
Answer:
The lines intersect at 90°
Step-by-step explanation:
If two lines are perpendicular, they intersect to form right angles.
Right angle = 90°
Line is different from line segment or a ray. The given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
To get to know about intersection of MR and XY, we need to know what a line is.
What is line, line segment and a ray?A line usually refers to infinite lenghted straight line in the Euclidean space.A line segment is a segment (of finite length) of a line.A ray is has fixed on endpoint, but it extends infinitely from the other endpoint, so no other endpoint at all.When does two lines intersect?If they are not parallel (having 0 degree angle between each other) and not coincident (not lying over each other), then those two lines always intersect.
Since the considered lines MR and XY are said to be perpendicular (having 90° angle between them, thus, they will intersect each other).
Therefore, the given lines MR and XY are best described by: Option A: The lines intersect at a 90° angle.
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If m aed is 48°, then possible measurements for arc ad and arc bc respectfully are:
Answer:
it's going to be 30 and 18
The possible measurements for arc AD and arc BC are 130° and 34° respectively.
What is Circle?Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.
Given is a circle.
We have the outside angle formed by the two secants is ∠AED and the measure for it is 48°.
Outside Angle Theorem states that " the measure of an angle which is formed by joining two tangents, or two secants, or one of either of them is equal to the measure of half of the difference of the intercepted arcs.
Here outside angle, ∠AED = 48°
Intercepted arcs are AD and BC.
Using the theorem,
∠AED = (Arc AD - Arc BC) / 2
This holds only if AD = 130° and BC = 34°.
(130 - 34) / 2 = 48
Hence the correct option is D. 130° and 34°.
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solve this with an explantion i will say thanks
Answer: x=5
Step-by-step explanation:
divide both sides by the numeric factor on the left side, then that will give the answer for x
Use the Factor Theorem to determine whether x-2 is a factor of P(x) = -x^4 + x^3 - x + 7.
Specifically, evaluate P at the proper value, and then determine whether x+2 is a factor.
P(?) =?
is x-2 a factor of P(x)
Is x-2 not a factor pf P(x)
Answer: WE have to find if x + 3 is a factor
Here's how we do it :
x + 3 = 0
x = -3
Plug that in :
(-3)^4 + 2(-3)^3 - 2(-3) - 6
81 - 54 + 6 - 6
27
So, when we divide, we get a remainder of 27. This is not zero.
So, since f(a) was not zero, (x - a) is not a factor
P(-3) = 27 ---> ANSWER
Thus here (x + 3) is NOT a factor ---> ANSWER
a. Mr. Gordon works with Ms. Patel from the Example. Mr. Gordon writes the expression 3x + 4x to represent the cost of ordering posterboards and stick-c letters for x students. What information does 3x + 4x tell you about the situation that the other expressions do not?
Answer:
$162
Step-by-step explanation:
5r=20 10p=100 14t=42
100+42+20=162
5r+10p+14t=$162
4. Funds are like the ultimate in one stop shopping (investing)
True
False
Find the annual interest rate. Round your answer to the nearest hundredth of a percent.
I=$160.67, P=$2000, t=8 months
The annual interest rate is %.
Answer:
1.57
Step-by-step explanation:
2000/8=250 250/160.67= 1.56
Jaidee reduced the size of a photo to a
height of 4 in. What is the new width if it
was originally 10 in wide and 20 in tall?
Answer:
The width would be 8.
Hope this helps!! PLEASEEE give Brainlist!!
Julian is taking an Indian cooking class. To practice, he makes a meal for his family. He uses 1 cup of cream to make chicken curry. He also uses 3 cups of cream to make cinnamon rice pudding. How many pints of cream does Julian use for this meal? pints
Answer:
He uses 2 pints.
Step-by-step explanation:
One cup equals 0.5 pints, if he used 4 cups of the cream total, we'd do 0.5 x 4 which gives us 2
A line passes through the point (4,-2) and is perpendicular to the line with the
equation y = 2/3x+4. What's the equation of the line?
Step-by-step explanation:
the whole solution is in the picture
