Answer:
The answer will be A. 6 or fewer.
The probability that during a given 10 minutes the number of smokers passing will be 6 or fewer.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Example
Suppose we have to predict about the happening of rain or not. The answer to this question is either "Yes" or "No". There is a likelihood to rain or not rain. Here we can apply probability. Probability is used to predict the outcomes for the tossing of coins, rolling of dice, or drawing a card from a pack of playing cards.
Terminology of Probability TheoryThe following terms in probability help in a better understanding of the concepts of probability.
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
There are 5 smokers who passes by in every 10 minutes.
So, the probability that during a given 10 minutes the number of smokers passing will be approx 5 or less.
i.e., 6 or fewer.
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Evaluate the given function. The values of the independent variable are approximate.
f(x) = 3x² - 3x, find f(3.52) and f(-8.77)
The values of f(3.52)=26.61 and f(-8.77)=257.05
An assignment of an element from set Y to each element of set X constitutes a function from set X to set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
The notation f: X→Y denotes a function, its domain, and its codomain. The value of a function at an element x of X, denoted by the symbol f(x), is referred to as the image of x under f or the value of f applied to the argument x.
The given function is f(x) = 3x²-3x =3x(x-1)
f(3.52)=3*(3.52)(3.52-1)
=26.61
f(-8.77)=3*(-8.77)(-8.77-1)
=257.05
Therefore, the values of f(3.52)=26.61 and f(-8.77)=257.05
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Using a rounded version of a conversion ratio allows for a quick estimate of a unit conversion
using mental math or paper and pencil (no calculator or phone). Show an example of a unit cuz
conversion estimation using this strategy.
The conversion ratio that can be illustrated will be converting 2030m to kilometers.
How to illustrate the conversion?The unit conversion that can be illustrated based on the information can be convert 2030m to kilometers.
It should be noted that 1000 meters makes 1 kilometer. Therefore, rounding up 2030m mentally will be 2000m and the conversion to kilometers will be:
= 2000/1000
= 2 km
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Consider the given density curve.
A graph goes from (0, 0) to (5, one-half).
Suppose that the mean value is 3.67. What is the best approximation for the median?
3.2
3.4
3.6
3.8
Picture posted below
The best approximation for the median is 3.6.
An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).
For the given density curve, the area under the density curve is
A=(1/2)×5×(1/2)=5/4
now, for the median, the area on the left and the area on the right of the median.
Let the median be x, then
The area criteria we get
(1/2)x(x/10)=(5/4)/2
⇒x²=5*20/4=25/2
So, we get x=5/([tex]\sqrt2[/tex])=3.5 ≈ 3.6
Hence the required answer is option 3.6
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(9x³+5)/(2x - 3)
How do I divide these using long division
(9x³+5)/(2x - 3)
split up (9x³+5)
9x³/2x-3 + 5/2x-3
attached solution.
PLEASE HELP what does -4=<X<4 mean?
Suppose that the function fis defined for all real numbers as follows. Graph the function f. Then determine whether or not the function is continuous.
Answer:
the value of x is between -4 and 4
On a zip-line course, you are harnessed to a cable that travels through the treetops. You start at Platform A and zip to each of the other platforms. How far do you travel from Platform B to Platform C? Write your answer to the nearest tenth of a foot.
The distance between B and C is 26.926 units.
What is distance formula?The distance between coordinate P(x1 , y1) and coordinate Q(x2 , y2) is calculated using the distance formula: d = √[(x2 - x1)² + (y2 - y1)²]
The zip-line course distance from platform A to platform F are given
Coordinates of B = (-25, -20)
coordinates of C = (-15, 5)
Now, the distance between B and C is
= `√(5-(-20))² +((-15)-(-25))²
=√25² + 10²
= √725
= 26.926 units.
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Determine the rank of A
Answer:
The rank of a matrix is the number of nonzero rows in the reduced matrix, so the rank is 3. option (C)
Step-by-step explanation:
Echelon Form : it is used to find the rank of matrix by reducing rows into zeros then the number of non zero rows is the rank of the matrix
[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\2&-2&-2&5&1\\1&0&-12&9&-3\\-1&1&7&-7&1\end{array}\right][/tex]
apply row operations:
R₂= R₂ - 2 R₁
[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\1&0&-12&9&-3\\-1&1&7&-7&1\end{array}\right][/tex]
R₃= R₃ - R₁
[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\-1&1&7&-7&1\end{array}\right][/tex]
R₄ = R₄ +R₁
[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\0&0&12&-9 &3\end{array}\right][/tex]
R₄ = R₄ +R₃
[tex]\left[\begin{array}{ccccc}1&-1&5&-2&2\\0&0&-12&9&-3\\0&0&-17&11 &-5\\0&0&0&0 &0\end{array}\right][/tex]
we can clearly see that after performing row operations there are 3 non zero rows,
therefore the Rank of the given matrix is 3
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Tim go to school.His age is a cube number.His age is double 1 square number and half a different square number.How old is Tim?
Answer:
Tim is 8 years old.
Explanation:
8 is the cube number of 2, as 2 × 2 × 2 = 8. Additionally, 8 is double 4, which is the square number of 2, and half of 16, which is the square number of 4.
Tim who goes to school is 8 years old.
Why numerical ability is important ?Good numerical ability describes your ability to think and conclude logical thoughts in your daily life also in your working role how you handle data in form of numbers, graphs, statements etc.
According to the given question Tim goes to school.
His age is a cube number let that number be x therefore age of Tim would be x³.
His age can also be defined as double of 1 square number which is 2x² and half of a different square of a numbers.
Let us equate x³ = 2x² and by hit and trial we get to know that x = 2 satisfies this condition.
So, Age of Tim could be 8 years,Now lets check our third statement half a different square number 16 is square of 4 so half of 16 is also 8.
Thus Tim is 8 years old.
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if the figure forms the base of a right solid 110 centimeters high, find the surface area
Answer:
60200 cm^2
Step-by-step explanation:
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Find the equation of a line passing through the points (-1,5) and (3,17).
Answer:
y=3x+8
Step-by-step explanation:
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
you find the slope by using this formula:
then we figure out it is 3
then graph to find the y-intercept which is 8
Answer:
y = 3x + 8
Step-by-step explanation:
Below is the image for the formula of the slope.
1. Subtract y values:
17 - 5 - 12
2. Subtract x values:
3 - (-1) = 4
3. Divide y/x
12 / 4 = 3
Therefore, the slope is 3.
Next, you need to find the y-intercept. This is our equation so far:
y = 3x + b
We can substitute any of the points given to us from the problem. I will use the first point: (-1, 5).
When substituting, you get:
5 = 3 ( -1 ) + b
5 = -3 + b
b = 8
Therefore, the equation is y = 3x + 8
Input 1,2,3,4,5, n output 2,-1,-4,-7, ?please help me find the linear function!
Answer:
f(x) = -3x + 5
Step-by-step explanation:
The slope of the function is -3 as the outputs decrease by three for each iteration.
The constant is 5 and can be determined if you plug in 1 as an x value and solve for c in an equation like this: -3(1) + c = 2
Use the Factor Theorem to determine whether x−1 is a factor of 4x^3−6x^2+2x+1.
what is the number you must add to complete the square x^2 - x
lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol lol
PLEASE HELP!! ANSWER AND EXPLANATION NEEDED URGENTLY!!
Using it's concept, it is found that the probability that the button is either pink or blue is:
[tex]p = \frac{26}{29}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
There are x yellow buttons.There are y blue bottons.There are z pink buttons.There are six times as many pink buttons as yellow books, hence:
z = 6x.
Considering the ratio of yellow buttons to blue buttons, we have that:
[tex]\frac{x}{y} = \frac{3}{8}[/tex]
3y = 8x
[tex]y = \frac{8x}{3}[/tex]
The total number of buttons is given by:
[tex]T = x + \frac{8x}{3} + 6x[/tex]
[tex]T = \frac{29x}{3}[/tex]
The number of pink or blue is given by:
[tex]y + z = \frac{8x}{3} + 6x = \frac{26x}{3}[/tex]
Hence the probability is given by:
[tex]p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}[/tex]
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Classify this triangle. (image down below)
(Acute scalene triangle. (Obtuse isosceles triangle. (Right isosceles triangle (Right scalene triangle?
Answer: Right iscoleces triangle
Step-by-step explanation: The square on the left bottom side means it is a right angle. The lines means that a side is congruent to the other side. By definition, iscoleces triangles have two congruent sides, so this must be it.
Answer:
right isosceles
Step-by-step explanation:
the right angle and the two sides that are equal make the triangle a right isosceles
I need help pls help
Answer:
550g
Step-by-step explanation:
total g in 1 kg is 1000
so 1000 - 550 =450
Polygon ABCDE is the first in a pattern for a high school art project. The polygon is transformed so that the image of A' is at (−2, 2) and the image of D' is at (−3, 0). Which transformation can be used to show that ABCDE and its image are congruent?
The transformation that can be used to show that ABCDE and its image are congruent is a 90° counterclockwise.
How to depict the transformation?It should be noted that when we rotate a point through 90° counterclockwise, the mapping will be: (x, y) to (-y, x).
In this situation, it van be deduced that the x and y coordinates swapped positions. This illustrates a 90° counterclockwise rotation about the origin..
In this situation, since the rotation is a rigid motion, the two shapes are congruent.
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Item 2
A container holds 54.6 gallons of liquid. The container leaks 8.4 gallons per hour.
How many hours will it take for the container to empty?
Enter your answer as a decimal in the box.
Answer:
54.6 ÷ 8.4 = 6.5 hours
6 hours, 30 minutes:)
A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50. Required: How many of each animal should he raise to maximize profit? What is the maximum profit?
The maximum profit will be 956 birrs for both cows and sheep.
What is profit?The amount of money earned by any seller on the cost price is called the profit.
Given that:-
A farmer raises only cows and Sheep. He wants to raise no more than 16 animals, including no more than 12 sheep. He spends birr 5 to raise a cow and Br 2 to raise a sheep. He has Br 50 available for this purpose. Cows sell birr 100 and sheep birr 50.From the given data we can see that the total number of animals cows and sheep is 16.
C + S = 16
To raise a cow need 2 Br
To raise Sheep need 5 Br
The number of sheep is 12 and cows 4.
So the amount required to raise sheep and cows is:-
Sheeps = 12 x 2 = 24 Br
Cows = 4 x 5 = 20 Br
Total = 44 Br
The selling price of cows and sheep are 100 and 50 Br.
Cows = 100 x 4 = 400Br
Sheeps = 50 x 12 = 600 Br
Total = 1000 Br
So the profit will be calculated as follows:-
P = 1000 - 44 = 956 Br
Therefore the maximum profit will be 956 birrs for both cows and sheep.
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1-
-5-4-3-2-11₁
H
5
4
3
2
Mark this and return
-2+
-3+
AWN
-4
-5
]
[
C
1 2 3 4 5 x
]
What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3
The range of the function on the graph is C. all the real numbers greater than or equal to –3 .
How to get the range?We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .
So, the range contain all the real numbers greater than or equal to –3 .
Therefore, the range contain all the real numbers greater than or equal to –3 .
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Which of the following is the difference of two squares?
A. 100m^2+9n^2
B.9x^2-12y^2
C. 16g-49h
D. 25a^2-36b^6
The difference of two squares expression is (d) 25a^2-36b^6
How to determine the difference of two squares?The difference of two squares is represented as:
x^2 - y^2
Where x and y are perfect square expressions.
From the list of options, we have:
25a^2-36b^6
The terms of the above expression are perfect squares
i.e.
25a^2 = (5a)^2
36b^6 = (6b^3)^2
Hence, the difference of two squares expression is (d) 25a^2-36b^6
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Steps are very much required they should be clear and neat please i need to understand this I'm taking a practice test for my future sats
ill report in inappropriate answers
Answer:
2nd option
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{4x+5+7x-6-8x+2}{3}[/tex]
= [tex]\frac{3x+1}{3}[/tex]
= [tex]\frac{3x}{3}[/tex] + [tex]\frac{1}{3}[/tex]
= x + [tex]\frac{1}{3}[/tex]
Some children research their classmates' favourite colour. They show the results in a pie chart. 40 children were asked about their favourite colour. How many children chose each colour? red = green = blue =
Step-by-step explanation:
Can you attach the questions please? Thanks
CAN SOMEONE PLS HELP ME WITH BOTH OF THESE QUESTIONS
EXPLANATION IS NOT NEEDED
WILL MARK BRAINLIEST
The amount in the new checking account is 600 dollars
The operation (5 α 3) + (7 α 5) is 46.
How to find the amount in the checking account?She had 1000 dollars in her checking account. she had a loan of 800 dollars to pay.
After paying her loan form her checking account the balance of the loan reduce to half.
Therefore, she paid 800 / 2 = 400 dollars for her loan
Hence,
Her new checking account = 1000 - 400 = 600 dollars
How to find value of an operation?
a α b = ab - a + b
Therefore,
(5 α 3) + (7 α 5)
(5 α 3) = 5(3) - 5 + 3 = 13
(7 α 5) = 7(5) - 7 + 5 = 33
Therefore,
(5 α 3) + (7 α 5) = 13 + 33 = 46
Note: I can't use the at symbol because it is a swear word.
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Find the distance between the points (2, −3) and (−4, −7).
-------------------------------------------------------------------------------------------------------------
Answer: [tex]7.21[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{(2, -3) and (-4, -7)}[/tex]
Find: [tex]\textsf{Find the distance between the two points}[/tex]
Solution: Use the distance formula and the two points that were provided to determine the distance.
Plug in the values
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d = \sqrt{(-4-2)^2+(-7-(-3))^2}[/tex]Simplify and expand
[tex]d = \sqrt{(-6)^2+(-7+3))^2}[/tex][tex]d = \sqrt{(-6)^2+(-4))^2}[/tex][tex]d = \sqrt{36+14}[/tex][tex]d = \sqrt{52}[/tex]If we are using square root we use the square root of 52 but if we simplify it to a decimal point we would use 7.21
Think about all of the ways in which a circle and a parabola can intersect.
Select all of the number of ways in which a circle and a parabola can intersect.
00
1
2
03
04
05
DONE
There will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle and a parabola:
As we know the standard form of a circle:
[tex]\rm (x-h)^2 +(y-k)^2=r^2[/tex]
The standard form of the parabola:
[tex]\rm y = a(x-h)^2+k[/tex]
If we plug the value of y from the parabola equation in the circle equation, we get a quartic equation(4th order equation)
The solution of the quartic equation will be 4.
Thus, there will be four ways a circle and a parabola can intersect because the solution of the quartic equation will be 4.
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1/a + 1/b = 1/2 (solve for a)
Answer:
1/a+ 1/b = 1/2
Adding the fractions we get
b+a/ab=1/2
cross Multiplying the denominator we get,
b+a=ab/2
a= ab/2 -b
Answer:
a = 1/(1/2 + 1/b)
Step-by-step explanation:
1/a + 1/b = 1/2
1/a = 1/2 - 1/b
1 = a(1/2 - 1/b)
1/(1/2 + 1/b) = a
1,000f= 4,135.135135...
what is the answer in fraction form?
Answer:
f = 4 [tex]\frac{5}{37}[/tex]
Step-by-step explanation:
divide 1000 on both sides.
f = 4.135 repeating (the 135 is repeating.)
Put the .135135135... over 999 because it is repeating. F becomes 4[tex]\frac{135}{999}[/tex]
Simplify. f = [tex]4\frac{5}{37}[/tex]
The sum of the first n terms of a geometric series is 364? The sum of their reciprocals 364/243. If the first term is 1, find n and common ratio
If the geometric series has first term [tex]a[/tex] and common ratio [tex]r[/tex], then its [tex]N[/tex]-th partial sum is
[tex]\displaystyle S_N = \sum_{n=1}^N ar^{n-1} = a + ar + ar^2 + \cdots + ar^{N-1}[/tex]
Multiply both sides by [tex]r[/tex], then subtract [tex]rS_N[/tex] from [tex]S_N[/tex] to eliminate all the middle terms and solve for [tex]S_N[/tex] :
[tex]rS_N = ar + ar^2 + ar^3 + \cdots + ar^N[/tex]
[tex]\implies (1 - r) S_N = a - ar^N[/tex]
[tex]\implies S_N = \dfrac{a(1-r^N)}{1-r}[/tex]
The [tex]N[/tex]-th partial sum for the series of reciprocal terms (denoted by [tex]S'_N[/tex]) can be computed similarly:
[tex]\displaystyle S'_N = \sum_{n=1}^N \frac1{ar^{N-1}} = \frac1a + \frac1{ar} + \frac1{ar^2} + \cdots + \frac1{ar^{N-1}}[/tex]
[tex]\dfrac{S'_N}r = \dfrac1{ar} + \dfrac1{ar^2} + \dfrac1{ar^3} + \cdots + \dfrac1{ar^N}[/tex]
[tex]\implies \left(1 - \dfrac1r\right) S'_N = \dfrac1a - \dfrac1{ar^N}[/tex]
[tex]\implies S'_N = \dfrac{1 - \frac1{r^N}}{a\left(1 - \frac1r\right)} = \dfrac{r^N - 1}{a(r^N - r^{N-1})} = \dfrac{1 - r^N}{a r^{N-1} (1 - r)}[/tex]
We're given that [tex]a=1[/tex], and the sum of the first [tex]n[/tex] terms of the series is
[tex]S_n = \dfrac{1-r^n}{1-r} = 364[/tex]
and the sum of their reciprocals is
[tex]S'_n = \dfrac{1 - r^n}{r^{n-1}(1 - r)} = \dfrac{364}{243}[/tex]
By substitution,
[tex]\dfrac{1 - r^n}{r^{n-1}(1-r)} = \dfrac{364}{r^{n-1}} = \dfrac{364}{243} \implies r^{n-1} = 243[/tex]
Manipulating the [tex]S_n[/tex] equation gives
[tex]\dfrac{1 - r^n}{1-r} = 364 \implies r (364 - r^{n-1}) = 363[/tex]
so that substituting again yields
[tex]r (364 - 243) = 363 \implies 121r = 363 \implies \boxed{r=3}[/tex]
and it follows that
[tex]r^{n-1} = 243 \implies 3^{n-1} = 3^5 \implies n-1 = 5 \implies \boxed{n=6}[/tex]
Help mee with this question pls I don’t understand
Answer:
a) Cat
b) 4 (unless there is a key that says otherwise)
c) 3 more people
Step-by-step explanation:
a) It has the least number of shapes (only 5)
b) Cat has 1 small square which stands for 1 person and 4 small squares put together make a big square so a big square is 4 people. Unless a key says that a small square is more or less 1, then it should be 4.
c) If one big square is 4 people, then there are 10 people for giraffes and 7 people for dogs. 10 - 7 = 3 more people.
