Why should the number of classes in a frequency distribution be between 5 and 20?
Answer:
Because it might be hard to detect patterns
Step-by-step explanation:
Two angles of a triangle measure 55° and 20° What is the measure of the third angle of the triangle?
A television with a price of $300 is to be purchased
with an initial payment of $60 and weekly payments
of $30. Which of the following equations can be used
to find the number of weekly payments, w, required
to complete the purchase, assuming there are no
taxes or fees?
Answer:
8 weeks
Step-by-step explanation:
300-60= 240
240/30= 8
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
We say that E is an indicator functions for the event A if I = {1 if A occurs 0 if A^c occurs Find E[I]. Compare the indicator function to a Bernoulli random variable.
Answer:
Step-by-step explanation:
Bb
On a map where each unit represents one kilometer two marinas are located at p(4,2) and Q(8,12) if a boat travels in a straight line from one marina to the other how far does the boat travel
The distance the boat would travel in a straight line from Marina P(4,2) to Marina Q(8,12) is approximately 10.77 kilometers.
Using the distance formula, the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = sqrt[(x₂ - x₁)² + (y₂ - y₁)²]
Applying this formula to the coordinates of the marinas P(4, 2) and Q(8, 12), we get:
d = sqrt[(8 - 4)² + (12 - 2)²]
= sqrt[16 + 100]
= sqrt(116)
≈ 10.77 km
Therefore, the boat would travel approximately 10.77 kilometers in a straight line from Marina P to Marina Q.
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ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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Solve: 2 In 3 = In(x - 4)
Step-by-step explanation:
\(2 ln(3) = ln(x - 4) \)
For logarithms, this is a property
\( ln(x {}^{n} ) = n ln(x) \)
So we have
\( ln( {3}^{2} ) = ln(x - 4) \)
\( ln(9) = ln(x - 4) \)
If
\( ln(a) = ln(b) \)
a=b
So
\(9 = x - 4\)
\(13 = x\)
PLS PLS PLS PLSSSSS HELPPP
Answer:
The regular bottle holds 9 fl oz of sun screen
Step-by-step explanation:
75% of 12 = 9
Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and the point (-2,√3) is
on the terminal side of 0. Then find the values of the six trigonometric functions for the angle. Rationalize denominators
if applicable.
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
To sketch an angle in standard position, we start by placing the initial side along the positive x-axis. Since we want the angle with the least possible positive measure, we choose the smallest positive angle, which is 0 degrees or 0 radians.
Next, we plot the point (-2, √3) on the terminal side of the angle. This point lies in the third quadrant of the coordinate plane. We draw a line segment from the origin to this point, representing the terminal side of the angle.
To find the values of the trigonometric functions, we can use the coordinates of the point (-2, √3) to determine the side lengths of a right triangle. The x-coordinate (-2) represents the length of the adjacent side, and the y-coordinate (√3) represents the length of the opposite side. The hypotenuse can be found using the Pythagorean theorem.
Using the values of the sides, we can calculate the trigonometric functions:
sin(0) = opposite/hypotenuse = √3/2
cos(0) = adjacent/hypotenuse = -1/2
tan(0) = opposite/adjacent = -√3
csc(0) = 1/sin(0) = 2/√3
sec(0) = 1/cos(0) = -2
cot(0) = 1/tan(0) = -1/√3
The trigonometric functions for the angle with the least possible positive measure and the point (-2, √3) on the terminal side are:
sin(0) = √3/2
cos(0) = -1/2
tan(0) = -√3
csc(0) = 2/√3
sec(0) = -2
cot(0) = -1/√3
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Alexa uses the binomial theorem to correctly expand (x + 2)^4. Which is one of the terms in Alexa's
answer?
24x^2
6x^2
16x
2x^4
Answer:
24x^2
Step-by-step explanation:
When expanded (x+2)^4= x^4+8x^3+24x^2+32x+16
The only term that matches with these is 24x^2
Answer:
24x^2
Step-by-step explanation:
Ken got to the school bus stop at 6:41 A.M. The bus came at 6:47 A.M. How long did ken wait for the school bus?
Answer:
6 minuets subtract 47 and 41 ur answer can be 6 or 46
A six controller thumb covers costs $2.10. At this rate, how much should 32 thumb covers cost? round to the
nearest cent.
Answer:
67 dollars and 20 cents
Step-by-step explanation:
2.10 per thumb cover
32x2.10=67.2
Answer:
if a six controller thumb cover cost 2.10 then you multiply 2.10 by 5 (because if you need 32 then you divide 32/6 and you get 5) 2.10 x 5 would equal 10.50 so that's your answer 10.50
Step-by-step explanation:
A car is traveling at 50 miles per hour. What is its speed in feet per second? (Round your answer one decimal place.)
feet per second
Answer:
73.3 feet per second is the answer
Does this graph show a function? Explain how you know. A. Yes, the graph passes the vertical line test B. Yes; there are no y-values that have more than one x-value. C. No, there are y-values that have more than one x-value. D. No, the graph fails the vertical line test.
Step-by-step explanation:
the vertical line test means if there are more than one point on a vertical line then it is not a fuction
i cant answer without seeing the graph but i hope this helps
60 POINT QUESTION. Middle school math, ordered pairs.
Answer:
(0,2)
(3,0)
Step-by-step explanation:
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to $\frac{21}{4}$ times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
The smallest integer that Pearl wrote down is -12.Let's assume the smallest integer that Pearl wrote down is represented by the variable "x."
According to the given information, the sum of the seven consecutive integers is equal to $\frac{21}{4}$ times the largest integer.
The sum of consecutive integers can be expressed as the sum of an arithmetic series. The sum of an arithmetic series can be calculated using the formula:
Sum = (n/2)(first term + last term)
In this case, the first term is x and the last term is x + 6 (since there are seven consecutive integers). Therefore, the sum of the integers can be written as:
Sum = (7/2)(x + (x + 6))
Simplifying the equation:
(7/2)(2x + 6) = (21/4)(x + 6)
Multiplying both sides by 4 to eliminate the fractions:
14x + 42 = 21x + 126
Subtracting 14x from both sides:
42 = 7x + 126
Subtracting 126 from both sides:
-84 = 7x
Dividing both sides by 7:
-12 = x.
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Find the value of x.
26
X
X
x = [?]°
Answer:
x=77° each
Step-by-step explanation:
180-26=154°
154÷2=77°
x=77° each
hope that helpes
I need answer asap thank you
The measure of ∠QTS = 58°
Given; A triangle QPR
PQ = PR
this means that ∠ Q = ∠ R
and QR = QT this means ∠ R = ∠ T
And ST ║ QR
and QT is the transversal
From the above mentioned information we can conclude that
∠QTS = ∠TQR -------------- 1
Thus since ∠ Q = ∠ R
by using angle sum property of triangle we can conclude that
∠ Q + ∠ R = 116 [ exterior angle sum property ]
2 ∠ Q = 116
∠ Q = 58°
this means ∠ TQR = 58°
And from 1 we know that this angle is equal to angle QTS
Thus ∠QTS = ∠TQR = 58°
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The area of the smaller regular pentagon is about 27.5 cm².
What is the best approximation for the area of the larger regular pentagon?
11cm²
172 cm²
70 cm²
275 cm²
Answer:172 cm²
Step-by-step explanation:
when we use the formula, and we can solve out is like 172.05 and round to tenth and will have the answer
Formula is 1/2 × p × a
In a data distribution that is skewed left.
The median will be greater than the mean in a left-skewed distribution
We have,
In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.
A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.
When the data is skewed left, it means that the distribution is being pulled towards the left side.
This is because there are a few extreme values on the left side that are pulling the mean in that direction.
In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.
For a left-skewed distribution,
The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.
In a data distribution that is skewed left, the mean will be less than the median.
This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.
Therefore,
The median will be greater than the mean in a left-skewed distribution
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Which expression is equivalent to 3(m − 3) + 4?
Answer:
3m − 5
Step-by-step explanation:
Answer:
3m - 5
Step-by-step explanation:
Which equation represents the graphed function?5 4.(0.3)(3,2)21O y=-3x + 3O y= 3x -3Oy= 3x-Oy=-*x+3-5 4 -3 -2 -1412 3 4 5X-2-3-5
For this question we notice that the equation given is of the slope-intercept form y=mx+b where m is the slope of the line. Therefore, the slope of the line is 4/5.
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
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10. en Vision STEM Sound travels in
waves. In dry air at 20° Celsius, sound
travels about 343 meters in one second
How many meters will sound travel in
7 seconds?
In 2401 meters will sound travel in 7 seconds if In dry air at 20° Celsius, sound travels about 343 meters in one second.
Define distance.The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line. Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Given
Speed = 343 m
Time = 7 seconds
For distance,
Distance = Time × Speed
Distance = 343 × 7
Distance = 2401
In 2401 meters sound will travel in 7 seconds if In dry air at 20° Celsius, sound travels about 343 meters in one second.
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Two pieces of equipment were purchased for a total of $2000. If one piece cost $810 more than the other, find the price of the less expensive piece of equipment.
Answer:
595.
Step-by-step explanation:
Take $2000 and subtract $810 from it. You now have the total of the two pieces of equipment without the extra pricing. You should get $1,190. Then divide that number by 2. You will get $595.
1st Piece of Equipment = $595
2nd Piece of Equipment = $1,405
2nd Piece is $810 more expensive and the two pieces combined is $2,000.
The difference of -10 and the product of p and q
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, what will the population be 7.2 minutes from now?
During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:
P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes
The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.
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Find the slope and y-intercept.
y= - x - 4
Answer:
slope= -1
y-intercept= -4
Step-by-step explanation: