When we say that the tails of the normal curve are asymptotic to the x axis, it mean the tails get closer and closer to the x axis but never touch it
The tails of normal curve are actually asymptotic. To say they are asymptotic, then it means that they approach the x axis but never quite meet its horizons.
These tails will extends indefinitely in both directions without crossing and touching the x axis or the horizontal axis.
Tails of normal curve or normal curve itself is asymptotic to the x-axis. That is the curve touches the x-axis only at -∞ and +∞. So the curve only approaches nearer and nearer to x-axis but never touches or crosses it.
For this reason, the correct choice is get closer and closer to the x-axis but never touches it.
Learn more about normal curves here:
https://brainly.com/question/23418254
#SPJ4
standard to intercept form
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + 1[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 5y - 6x = 5[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: 5y = 6x + 5[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + \frac{5}{5} [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{6}{5} x + 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
4.7.4 pt. 2 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you, all the info you need is on part 1 on my account
Considering that the pumpkin is on the ground at x = 0 and x = 50, it is found that:
5. The roots of the quadratic function are: r1 = 0, r2 = 50.
6. The function is written as follows: y = a(x - 0)(x - 50).
7. The leading coefficient is a = -0.0992.
8. The function is: y = -0.0992(x - 0)(x - 50).
9. Applying the distributive property, the function is: y = -0.0992(x² - 50x).
10. The graph is given at the end of the answer.
Building a quadratic function from it's rootsA quadratic function of roots x' and x'' is defined as follows:
y = a(x - x')(x - x'').
In the context of this problem, the roots are the values of x when the pumpkin is on the ground, hence:
x' = 0, x'' = 50.
Hence, considering the roots, the function is written as:
y = a(x - 0)(x - 50).
The maximum height obtained by the pumpkin is of 62 feet, after a horizontal distance of 25 feet(mean of the roots), hence the vertex is given by these following coordinates:
(25, 62)
The coordinates are used to find the value of a, which is the leading coefficient of the function, as follows:
62 = a(25² - 50 x 25)
62 = -625a
a = -62/625
a = -0.0992.
Then the equation is written as:
y = -0.0992(x - 0)(x - 50).
The distributive property means that the outer term multiplies each the inside terms, and then the common terms are added, hence the function is:
y = -0.0992(x² - 50x).
Which is sketched at the end of the answer.
Missing informationThe pumpkin is on the ground when x = 0 and x = 50.
The maximum height obtained by the pumpkin is of 62 feet, after a horizontal distance of 25 feet.
A similar problem, also about quadratic functions, is given at https://brainly.com/question/24737967
#SPJ1
What’s the term for 5 _ 13
The nth term for the given series is given by 4n-3.
What is meant by series?
The fundamental concepts in mathematics are series and sequence. A series is the total of all elements, but a sequence is an ordered collection of elements for which repetitions of any kind are permitted. One of the typical examples of a series or a sequence is a mathematical progression. A series can be finite or infinite in length and has a length that corresponds to the number of terms.The number series is 1, 5, 9, 13, 17,...
Common deviation (d)=5-1=4
A=1 is the first phrase.
A+(n1)d=1+(n1) is the formula for the nth term.
4=4n−3
∴tn =4n−3
The nth term for the given series is given by 4n-3.
To learn more about series visit:
https://brainly.com/question/28062936
#SPJ1
Which point would describe the rate of change for the line modeled by y = 4/3x+2?
A. Vertical change of 2 units for each horizontal change of 1 unit
B. Vertical change of 1 unit for each horizontal change of 2 units
C. Vertical change of 4 units for each horizontal change of 3 units
D. Horizontal change of 4 units for each horizontal change of 3 units
The point which describe the rate of change for the line modeled by y = 4/3x+2 would be; C. Vertical change of 4 units for each horizontal change of 3 units
How to find the rate of change of a linear equation?Suppose that the considered linear equation is of the form y=mx+c
Then, when we change x by 1 unit, then:
[tex]y + \delta y = m(x + 1) + c\\mx + c + \delta y = mx + c + m\\\delta y = m[/tex]
where [tex]\delta y[/tex] shows the change in y as x changes by 1 unit.
It is found that this change is the value of 'm' called slope of the line this equation represents (each linear equation represents a line).
We have been given that the line modeled by y = 4/3x+2
The slope is given as m = 4/3
The point which describe the rate of change for the line modeled by y = 4/3x+2 would be;
C. Vertical change of 4 units for each horizontal change of 3 units
Learn more about the rate of change of a linear equation here:
https://brainly.com/question/12786410
#SPJ1
1.2x10-8 x 4.0×10-3
Scientific Notation
Answer:
−3.11×10^2
Step-by-step explanation:
are lines AC and DF parallel explain
Answer:
yes
Step-by-step explanation:
ac goes straight forever and df does straight forever and they are parallel
an ice cream cone has a diameter of 8 cm and a slant height of 8.4 cm. find the lateral surface area of the cone. use 3.14 for π. round your answer to the nearest tenth.
an ice cream cone has a diameter of 8 cm and a slant height of 8.4 cm. find the lateral surface area of the cone then The lateral surface area of the cone is 105.2 cm².
What is lateral surface area?
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
Lateral surface area = πr√(h² + r²)
Where:
π = pi = 3.14
r = radius = 8/2 = 4cm
h = √8.4² - 4² = 7.38
3.14 x 4 x √(7.38² + 4²)
= 105.4 cm
learn more about of cone, here
https://brainly.com/question/26414506
#SPJ4
Match each problem to its solution.32672.72671.7216Jeff wants to buy a new guitar that costs$1,701.04. Currently, he has 51,029.32How many more dollars does he need tobuy the guitar?Rose walks 3.2 miles every day. How manymiles will she have walked in 5 days?Christie was on a road trip. She traveled320.95 miles on day one, 231.45 miles onday two, and 120.32 miles on day three.How many miles did she travel duringher three-day trip?Hugh drove 774.4 miles. His car averaged24.2 miles per gallon of gas. How manygallons of gas did the car use?No
Rose walks 3.2 miles every day. How many miles will she have walked in 5 days?
3.2*5 = 16 miles
Christie was on a road trip. She travelled 320.95 miles on day one, 231.45 miles on day two, and 120.32 miles on day three. How many miles did she travel during her three-day trip?
320.95 + 231.45 + 120.32 = 672.72 miles
Hugh drove 774.4 miles. His car averaged 24.2 miles per gallon of gas. How many gallons of gas did the car use?
774.4/24.2 = 32 gallons
Justin has nine fudge popsicles.
He sells two popsicles to Sidney and three to Doryin.
What fraction of popsicles does Justin have left to eat?
Justin has sold 5 popsicles so from the original 9 if we take away 5, he has 4 popsicles left to eat.
Help!! i’ll give brainlest
The equivalent expression is 54 divided by 18, and the quotient is 3.
A study on the average minutes spent by students on internet usage is 300 with a standard deviation of 102. Answer the following questions assuming a bell-shaped distribution and using the empirical rule. What percentage of students use the internet for more than 402 minutes?.
The percentage of students that use the internet for more than 402 minutes = 16%
Percentage
Percentage, often referred to as percent, is a fraction of 100. Percentage means "per 100," and denotes part a total amount. For example, 45% represents 45 out of 100.
calculate the percentage-
The empirical rule states that
68% of the population lies within 1 standard deviation of the mean
95% of the population lies within 2 standard deviations of the mean
99.7% of the population lies within 3 standard deviations of the mean
Standard Deviation
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The percentage will be illustrated in this:
P(X > 402) = P(X > 30 + 1 × 102)
= (1-0.68) / 2
= 0.32/2
= 16%
The percentage of students that use the internet for more than 402 minutes = 16%.
To learn more about Standard Deviation visit:
brainly.com/question/13905583
#SPJ4
What is the probability that A occurs given that B occurs ?
This is an instance of conditional probability and the formula to use is;
[tex]P(\text{AIB)}=\frac{P(A\cap B)}{P(B)}[/tex]Where:
P(A|B) = the probability of event A occurring given that event B occurred
P(A ∩ B) = the probability that both events A and B occur
P(B) = the probability of event B
[tex]\begin{gathered} P(\text{AnB)}=\frac{1}{3} \\ P(B)=\frac{2}{5} \end{gathered}[/tex][tex]P(\text{AIB)}=\frac{\frac{1}{3}}{\frac{2}{5}}=\frac{1}{3}\times\frac{5}{2}=\frac{5}{6}[/tex]Therefore, the probability that A occurs given that B occurs is 5/6
M
Given the diagram below, solve for x.
X%
87° 87°
Xº
87
N
Acute Geometry Class, 2021
The angle x= 33 degree.
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "" is used to denote angles. The Greek letter,,, etc. can be used to represent the angle measurement between the two rays. If different types of angles, such as a positive angle and a negative angle.
Positive Angle: If angle goes in counterclockwise, then it is called a positive angle.
Negative Angle: If angle goes clockwise direction, then it is called a negative angle.
360= 87*3+3x
360-261=3x
33=x
To know more about angles visit: https://brainly.com/question/28451077
#SPJ9
can someone please help?
Answer:
No
Step-by-step explanation:
If the two triangles shown below are similar
based on the given information, complete
the similarity statement, otherwise choose
the "Not Similar" button.
C
2 in
4 in
ABCA ~ A
A
8 in
B
G
H
16 in
Answer: Similar by SAS
Step-by-step explanation:
Note that [tex]\frac{AC}{AB}=\frac{JG}{HG}=\frac{1}{4}[/tex].
So, the triangles are similar by SAS (since the congruent angle is included between the proportional sides).
3-3k+7k=5b solve for x
Hey there!
[tex]3-3k+7k=5b[/tex]
Assuming you're trying to solve for b or k, I'll solve both.
Solve for b:
[tex]3-3k+7k=5b[/tex]
We will need to flip the equation:
[tex]5b=4k+3[/tex]
Now, let's divide both sides by 5:
[tex]\frac{5b}{5} =\frac{4k+3}{5}[/tex]
[tex]b=\frac{4}{5} k+\frac{3}{5}[/tex]
Solve for k:
[tex]3-3k+7k=5b[/tex]
Let's add -3 to both sides:
[tex]4k+3+-3=5b+-3\\4k=5b-3[/tex]
Now, let's divide both sides by 4:
[tex]\frac{4k}{4} =\frac{5b-3}{4}[/tex]
[tex]k=\frac{5}{4} b+\frac{-3}{4}[/tex]
Now, we've solved for b and k.
Hope this helps!
What is the probability that the sample proportion is greater than .43?
Simply put, probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.
Calculate probability ?
The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.Probability and odds are two distinct ideas.Odds are calculated by dividing the likelihood of an event by the likelihood that it won't. Theoretical Probability is one of three main categories of probability.Scientific Probability.Probability axiomatically. Sampling is frequently used to calculate the percentage of a population that possesses a particular attribute, such as the percentage of all defective goods that come off an assembly line or the percentage of all customers who enter a store and make a purchase before leaving.The proportions of the population and sample are represented by the letters p and p, respectively.
Therefore,
p = 0.43
if, in fact, 43% of shoppers make a purchase before leaving a store;
p = 78/200
= 0.39
if, in a sample of 200 shoppers, 78 make a purchase.
The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.
It will be represented as a random variable by the letter P.
To learn more about probability refer
https://brainly.com/question/24756209
#SPJ13
Answer for both A, B, and C. Need help asap!!! Giving brainliest.
Answer:
Step-by-step explanation:
Question a: Solve for c
0.9c = 17.01 - 18.9r
c = 17.01-18.9r/0.9
c = 18.9 - 2.1r
Question b: Solve for r
18.9r = 17.01-0.9c
r = 9 - [tex]\frac{0.9}{18.9}[/tex]c
r = -10/21c + 9
(0.9/18.9 = 10/21)
Question c:
It will be best to use the equation that solves for c because this helps us determine how much chicken is bought.
c = 18.9 - 2.1r
Substitute r with 3.25
c = 18.9 - 2.1(3.25)
c= 18.9 - 6.825
c = 12.075
URGENT PLEASE HELP
A triangle is translated 6 units left and then dilated by a factor of 0.5.
Which statement about the triangle's image and pre-image is correct?
A) The image and pre-image are congruent figures because one of the transformations is a rigid transformation, and the other
is not.
B) The image and pre-image are congruent figures because both transformations are rigid transformations.
C) The image and pre-image are not congruent figures because one of the transformations is a rigid transformation, and the
other is not.
D) The image and pre-image are not congruent figures because both transformations are rigid transformations.
A triangle is translated 6 units left and then dilated by a factor of 0.5. the statement about the triangle's image and pre-image that is correct is: The image and pre-image are not congruent figures because one of the transformations is a rigid transformation, and the other is not.
What is a rigid transformation?Transformation is a term that refers to movement of an image from one position to the other.
When the intervals or distances between the points of the image being moved is not altered then the transformation is rigid transformation. However when the interval is altered it is a rigid transformation.
Translation is a rigid transformation while dilation is a non rigid transformation.
Read more on rigid transformation here: https://brainly.com/question/1462871
#SPJ1
Max is designing a hot tub for a local spa.
He wants the hot tub to have a diameter of 90 inches, what is the approximate area required for the installation of the hot tub? (Use 3.14 for.)
The area of the hot tub to be installed for local spa is 6358.5 in².
What is defined as the circle?A circle is a round figure with no corners as well as edges.A circle is defined in geometry as a closed, double curved shape.The center of the a circle is the point in a circle where all distances to the circle's points are equal. This distance is known as the circle's radius.The diameter of a circle is a line segment that passes through center of a circle and has its endpoints just on circle.Diameter = 2 × radiusFor the given question;
The diameter of the hot tub to be installed for local spa is 90 inches.
Then, radius is 90/2 = 45 inches.
The area of the circle is;
Area = πr²
Where, π = 3.14
Put the values;
Area = 3.14×45²
Area = 6358.5
Thus, the area of the hot tub to be installed for local spa is 6358.5 in².
To know more about the circle, here
https://brainly.com/question/24375372
#SPJ13
Which equation represents a proportional relationship? responses 14x y=10 fraction 1 over 4 end fraction x plus y equals 10 y=14x y equals fraction 1 over 4 end fraction x y=13x 1 y equals fraction 1 over 3 end fraction plus 1 i don't know.
We identify the proportional relationship because it does not have a constant term, the correct option is:
y = (1/4)x
Which equation represents a proportional relationship?
A proportional relationship between two variables x and y is written as:
y = k*x
Where k is called the constant of proportionality.
Here the options are:
(1/4)x + y = 10 (this is a linear equation)y = (1/4)*x (this is a proportional relation)y = (1/3)*x + 1 (this is a linear equation)The only option that has not a constant term is the second one:
y = (1/4)*x
And that is the proportional relationship.
Learn more about proportional relationships:
https://brainly.com/question/12242745
#SPJ1
Answer:
y=(1/4)x
Step-by-step explanation:
I took the test :)
Find the multiplicative inverse of −1 x -3/10.
Step-by-step explanation:
-1 × -3/10
=> 3/10
Multiplicative Inverse/Reciprocal of 3/10 = 10/3
Help me out please :))
Answer:
The answer is C
Step-by-step explanation:
1. You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week. How long
will it be before you and your sister have the same amount of money? Write an equation and solve.
It will take 30 weeks to have to have the same amount of money as my sister if I have $60 and my sister has $120. I am saving $7 per week and my sister is saving $5 per week.
How to write equation?A mathematical sentence that uses the equal sign, =, to show that two expressions are equal is known as an equation. Look for key words or phrases such as "is," "the same as," or "equals" to determine where to place the equal sign when writing a word sentence as an equation. Make an equation out of the word sentence.
What is equation?A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
The given condition,
You have $60 and your sister has $120. You are saving $7 per week and your sister is saving $5 per week.
Let x be the time period in weeks. So we need same amount of money.
60+7x=120+5x
This is the equation needed.
2x=60
x=30 weeks
If I have $60 and my sister has $120, it will take 30 weeks for me to have the same amount of money as my sister. I save $7 per week, and my sister saves $5 per week.
To know more about equations,
https://brainly.com/question/28868504
#SPJ13
You plan to retire in 35 years, and would like to have 1,000,000$ in investments. How much money would you have to invest today at a 7% annual interest rate compounded daily to reach your goal in 35 years. Assume all years have 365 days round your answer to the nearest cent
Given:
You plan to retire in 35 years and would like to have 1,000,000$ in investments.
So, the time = 35 years
And A = 1,000,000
compounded daily, n = 365
Rate of the interest = r = 7% = 0.07
We will find the initial investment = P
We will use the following formula:
[tex]A=P\cdot(1+\frac{r}{n})^{nt}[/tex]Substitute with the values of A, r, n, and t
[tex]\begin{gathered} 1000000=P\cdot(1+\frac{0.07}{365})^{365\cdot35} \\ \end{gathered}[/tex]Solve the equation to find P
[tex]\begin{gathered} 1000000=P\cdot11.5856 \\ \\ P=\frac{1000000}{11.5856}=86,313.86 \end{gathered}[/tex]So, the answer will be $86,313.86
The melting point of nitrogen is -210 °C. The melting point of magnesium is 650 °C.
What is the difference in melting points of the two elements?
Answer:
860 degrees
Step-by-step explanation:
-210+210=0
0+650=650
650+210=860
can anyone help me with these questions
Answer:
Nah
Step-by-step explanation:
Four pencils held together with a band
Step-by-step explanation:
The length of the band is the number of units it covers
The actual length of the band is: \mathbf{40 + 10\pi}40+10π
The diameter of 1 pencil is given as:
\mathbf{d = 10}d=10
The circumference of 1 pencil is:
\mathbf{C = \pi d}C=πd
So, we have:
\mathbf{C = 10\pi }C=10π
Multiply by 4, to calculate the circumference of all pencils
\mathbf{4C =4 \times 10\pi }4C=4×10π
\mathbf{4C =40\pi }4C=40π
The rubber band covers a quarter of the 4 pencils.
So, we divide by 4
\mathbf{C = 10\pi }C=10π
The length of the band on one pencil is:
\mathbf{L = 10}L=10
Multiply by 4, for the 4 pencils
\mathbf{L = 40}L=40
So, the actual length of the band is:
\mathbf{Length = 40 + 10\pi}Length=40+10π
Read more about lengths at:
https://brainly.com/question/12524954?
A student claimed that reflect a triangle in a line, translating a triangle , rotating a triangle, and reflecting it in a point result in an image that is congruent to the original( pre-image) triangle. explain why they are correct.
If we reflect a triangle in a line, translate a triangle, rotate a triangle, and reflect it in a point result in an image that will be congruent to the original( pre-image) triangle.
This is a problem from triangular geometry. We can solve this problem by following a few steps.
Here a triangle ABC is given and the triangle is at first reflected and then translated, thereafter it rotates and is later reflected.
After all, these processes the value of ∠A, ∠B, and ∠ C remains the same as usual concerning ∠A''', ∠B''', ∠ and C'', as they just changes coordinates not geometric structures.
After all these processes the length of the triangle AB, AC, BD, and A'''B''', B'''C''', C'''A''' remains the same as usual.
∵ We can conclude that ΔABC ≅ ΔA'''B'''C'''
( As AB = A'''B''', BC = B'''C''', ∠ABC = ∠ A'''B'''C''' )
To know more about congruent triangle visit,
https://brainly.com/question/27848509?referrer=searchResults
#SPJ1
3. At a carnival, of the games cost $1. Another 2.5% of the games cost $2. What
percent of the games do not cost $1 or $2?
Percent of the games do not cost $1 or $2 is 35%.
What is percentage?
A fraction of a number out of 100% is referred to as a percentage, sometimes known as a percent. Percentage refers to a portion of a total amount and signifies "per 100." For instance, 45% signifies 45% of the total or 45 out of 100.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
Given,
games = 58
5/8 is 62.5%
2.5% + 62.5% = 65%
100%-65% = 35%
A third of the games (35%) are free.
To learn more about percentage from given link
https://brainly.com/question/24877689
#SPJ9
Complete question -
At a carnival, 58 of the games cost $1. Another 2.5% of the games cost $2. What percent of the games do not cost $1 or $2?