PLEASE HELP SUPER FAST WORTH ALOT OF POINTS
The ages of alligators in a swamp are normally distributed, with a mean of 50 years and a standard deviation of 4. Approximately what percentage of the alligators are between 45 and 55 years old?
78.87%
10.56%
89.44%
67.76%
Question 2(Multiple Choice Worth 3 points)
(05.03 LC)
Wait times at an orthodontist's office are typically 17 minutes, with a standard deviation of 2 minutes. What percentage of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution?
17%
68%
95%
99.7%
Answer:
1) 78.87%
2) 99.7%
Step-by-step explanation:
The z-score for a normal distribution is given by:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
1- The given data is:
σ = 4 years
μ = 50 years
For X = 45 and X =55
[tex]z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25[/tex]
A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.
Therefore, the percentage of the alligators are between 45 and 55 years old is:
[tex]P=89.44-10.57=78.87\%[/tex]
78.87% of alligators.
2- The given data is:
σ = 2 minutes
μ = 17 minutes
For X = 11 and X =23
[tex]z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3[/tex]
A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.
Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:
[tex]P=99.865-.0135=99.73\%[/tex]
99.7% of people.
Using the normal distribution, it is found that:
78.87% of the alligators are between 45 and 55 years old.99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The Empirical Rule states that for a normal variable, 99.7% of the measures are within 3 standard deviations of the mean.In this problem:
Mean of 50, hence [tex]\mu = 50[/tex].Standard deviation of 4, hence [tex]\sigma = 4[/tex].The proportion between 45 and 55 years old is the p-value of Z when X = 55 subtracted by the p-value of Z when X = 45, then:
X = 55:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 50}{4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 45:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 50}{4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1057.
0.8944 - 0.10567= 0.7887.
0.7887 = 78.87% of the alligators are between 45 and 55 years old.
For the second question, by the Empirical Rule, 99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.
To learn more about normal distribution, you can take a look at https://brainly.com/question/24663213
if AB is 3/4 and CD is 8/-6 are the parallel, perpendicular or niether
Answer:
neither
Step-by-step explanation:
parallel lines have the same slope, perpendicular lines' slopes are the negative inverse of eachother.
Find the solution of this system of equations
- 2x + 10y = -22
-2x - 4y = 6
Answer:
x = 1, y = -2
Step-by-step explanation:
- 2x + 10y = -22 _______(1)
-2x - 4y = 6 _______(2)
From (1),
10y + 22 = 2x
x = (10y + 22) / 2
x = 5y + 11 .______(3)
Substitute (3) into (2),
-2 ( 5y + 11) -4y = 6
-10y - 22 - 4y = 6
-14y = 6 + 22
-14y = 28
y = 28/ -14
y =-2
Substitute y = -2 into (3).
x = 5y + 11
x = 5(-2) + 11
x = -10 + 11
x = 1
Therefore, the solution is x = 1, y = -2.
A circle with radius of \greenD{2\,\text{cm}}2cmstart color #1fab54, 2, start text, c, m, end text, end color #1fab54 sits inside a \blueD{11\,\text{cm} \times 12\,\text{cm}}11cm×12cmstart color #11accd, 11, start text, c, m, end text, times, 12, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.
Answer:
119.43cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
As we know that
= Area of the rectangle - Area of the circle
where,
Area of rectangle is
[tex]= length \times breadth[/tex]
[tex]= 11\times 12[/tex]
= 132 cm^2
And, the area of the circle is
[tex]= \pi\times r^2\\\\ = \frac{22}{7} \times 2^2\\\\ = \frac{88}{7} cm^2[/tex]
Now the area of the shaded region is
[tex]= 132 cm^2- \frac{88}{7}cm^2[/tex]
= 119.43cm^2
We simply deduct the area of the circle from the area of the rectangle so that the area of the shaded region.
Answer:
the answer
is 128.86 Step-by-step explanation:
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School.
Complete question is;
Francis surveyed a random sample of 70 students at Franklin High School about their favorite season. Of the students surveyed, 18 chose fall as their favorite season. There are 1816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall?
Answer:
467
Step-by-step explanation:
We are told that 18 out of 70 of the surveyed students' favorite season is fall. This when expressed in fraction, gives; 18/70.
Now we need to multiply this fraction by the total number of Franklin High School students in order to get the estimate for the number of students at Franklin High School whose favorite season is fall. Total number of students = 1816. Thus, estimate is;
1816 × 18/70 = 467
Thus, the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall would be 467.
Factor completely [tex]3x^3-3x^2-18x[/tex].
A - 3x(x + 3)(x + 2)
B - 3x(x + 3)(x − 2)
C - 3x(x − 3)(x + 2)
D - 3x(x − 3)(x − 2)
Will give Brainliest!
Answer:
The answer is 3x(x - 3)(x + 2)
Step-by-step explanation:
3x³ - 3x² - 18x
Factor out 3x from the expression
We have
3x ( x² - x - 6)
Solve the terms in the bracket
We have
3x ( x² + 2x - 3x - 6)
Factor out x the expression in the bracket
We have
3x ( x ( x + 2) - 3( x + 2) )
Factor out x + 2 from the expression in the bracket
We have the final answer as
3x ( x - 3) (x + 2)Hope this helps you.
The table below shows the average attendance of school events by the day of the week on which they are held. Average Attendance at School Events Thursday Friday School Play 300 x Band Concert 184 250 Which values of x will indicate an association between the two variables in the two-way table? Check all that apply. 250 304 407 422 714
Answer:
A , B, E 1,2,5
Your the welcome my audience
Step-by-step explanation:
Answer:
a b e
Step-by-step explanation:
just believe me you $exy hunky man
The school aims to raise a minimum of $5,250 after paying for all the expenses. If the school collects $50 per guest and chooses a venue that can seat not more than 150 guests, what is the minimum number of children that must attend the event?
At least 105 children must attend the event
Which polynomial identity will prove that 35 = 27 + 8?
A restaurant offers 6 choices of appetizer, 8 choices of main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Step-by-step explanation:
For one course:
6+8+5=
Two courses with appetizers and main meals (* means times)
6*8
Two courses with appetizers and dessert
6*5
Two courses with main meals and dessert
8*5
Mrs. Jacksy served snacks on a circular plate. How many lines of symmetry were on the plate? A. 0 B. 2 C. 4 D. Infinite number
Answer:
D. Infinite number
Step-by-step explanation:
A circular plate can be rotated by a part of a degree and it will look the same (as long as it does not have a design on it)
Assuming this plate does not have a design on it, we can rotate through infinite number of lines of symmetry
Answer:
D. infinite number
Step-by-step explanation:
Hope this helps ^_^
A large stand of fir trees occupies 24 hectares. The trees have an average density of 1 tree per 20m squared. A forester estimates that each tree will yield 300 board-feet. Estimate the yield of the stand if one-tenth of the trees are cut.
Answer:
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
Step-by-step explanation:
First, let is find the total amount of fir trees that occupies the area of 24 hectares. (1 hectare = 10000 square meters)
[tex]n = \sigma \cdot A[/tex]
Where:
[tex]\sigma[/tex] - Surface density, measured in trees per square meter.
[tex]A[/tex] - Total area, measured in square meters.
Given that [tex]\sigma = \frac{1}{20}\,\frac{tree}{m^{2}}[/tex] and [tex]A = 24\,h[/tex], the total amount of fir trees is:
[tex]n = \left(\frac{1}{20}\,\frac{trees}{m^{2}} \right)\cdot (24\,h)\cdot \left(10000\,\frac{m^{2}}{h} \right)[/tex]
[tex]n = 12000\,trees[/tex]
It is known that one-tenth of the tress are cut, whose amount is:
[tex]n_{c} = 0.1 \cdot n[/tex]
[tex]n_{c} = 0.1 \cdot (12000\,trees)[/tex]
[tex]n_{c} = 1200\,trees[/tex]
If each tree will yield 300 board-feet, then the yield related to the trees that are cut is:
[tex]y = S\cdot n_{c}[/tex]
Where:
[tex]S[/tex] - Yield of the tress, measured in board-feet per tree.
[tex]n_{c}[/tex] - Amount of trees that will be cut, measured in trees.
If [tex]n_{c} = 1200\,trees[/tex] and [tex]S = 300\,\frac{b-ft}{tree}[/tex], then:
[tex]y = \left(300\,\frac{b-ft}{tree} \right)\cdot (1200\,trees)[/tex]
[tex]y = 360000\,b-ft[/tex]
The yield of the stand if one-tenth of the trees are cut is 360000 board-feet.
PLEASE HELP ME Im confused!!!! Kinah works in a bakery and is making peach pies. She makes 40 pies and uses 6 peaches for each pie. The number of peaches that she uses to make the pies is a function of the number of pies that she makes. Which of these statements describe the domain or range of this function? Select two that apply.
Answer:
b
Step-by-step explanation:
When constructing parallel lines with a compass and straightedge, how should you start the construction? Measure the length of the original line and make an arc. Create a line that intersects the given line with your straightedge. Open the compass to the width of the line and draw two arcs. Use a straightedge to create two arcs above and below the line.
Answer:
The second choice.
Step-by-step explanation:
Open the compass to the width of the line and draw two arcs.
These arcs should be on the same side of the original line.
You can then draw the parallel line with the straight edge just touching the top of each arc.
Parallel lines can be drawn using compass and straightedge using the concept of corresponding angle.
What are the parallel lines?Two lines are called parallel when they never meet each other if they are increased on the either side of them.
When constructing parallel lines with a compass and straightedge we can follow the below mentioned steps.
1. At first we need to draw a straight line. Then take a random point on it.
2. After that, we need to take a random point above the line that is drawn. Then, we need to connect two points.
3. After that, draw two arcs using the compass. First arc is on the angle formed by two lines drawn. The next arc is on the line that connects two points.
4. Now using the compass, we can copy the angle formed on the first line on the point above the first line.
5. Now, complete the angle on the point above the first line. These two lines are parallel lines.
Learn more about parallel lines here: https://brainly.com/question/1418314
#SPJ2
two angles of a triangle measure 32 degrees and 62 degrees what is the measure of the third angle? A) 76 degrees B) 86 degrees C) 94 degrees D) 96 degrees
Answer:
86 B
Step-by-step explanation:
32+62=94
180-94=86
The sum of the interior angles of a triangle always add up to 180 degrees.
Answer:
The third angle is 86
Step-by-step explanation:
The sum of the angles of a triangle add to 180
32+62+x = 180
94+x = 180
Subtract 94 from each side
x = 180-94
x =86
The probability that a randomly selected individual in a certain community has made an online purchase is 0.41 . Suppose that a sample of 13 people from the community is selected, what is the probability that at most 3 of them has made an online purchase?
Write only a number as your answer. Round to 2 decimal places (for example 0.24). Do not write as a percentage.
Answer:
0.15
Step-by-step explanation:
What we can use to solve this problem is the Bernoulli approximation of the Binomial distribution.
When we say at most 3, it means 0 or 1 or 2 or 3 people out of the 13 made the purchase
Mathematically, the Bernoulli approximation is applied as follows
P(X = n) = nCr p^r q^n-r
let p = probability of making online purchase = 0.41
while q = 1-p = 1-0.41 = 0.59 which is the probability of not making an online purchase.
Mathematically for each of the approximations up to 3, we have ;
13C0 P^0 q^13 + 13C1 P^1 q^12 + 13C2 P^2 q^11 + 13C3 P^3 q^10
Making substitutions, we have
{1 * 0.41^0 * 0.59^13} + {13 * 0.41^1 * 0.59^12} + {78 * 0.41^2 * 0.59^11} + {286 * 0.41^3 * 0.59^10}
= 0.150820944904 which is 0.15 to 2 decimal places
Two students are in charge of finding how many T-shirts to order for the students that want one. Each student collects sample data. The conclusions are shown. Compare the students' conclusions. Whose inference do you agree with? Explain. If there are 504 students in the school, use the better conclusion to estimate the number of T-shirts the school should order.
Student 1: Simple random sample; StartFraction 35 Over 50 EndFraction
said they would like a T-shirt, so order enough for 70% of the school.
Student 2: Systematic sample; StartFraction 51 Over 60 EndFraction
said they would like a T-shirt, so order enough for 85% of the school.
Answer:
student 2
Step-by-step explanation:
35/50 = 70%
51/60 = 85%
Please Help...Anyone? I am revising for a test tomorrow, so please explain how you get the answer, too.. The ratios of the ages of Sunil and his Wife is 4:3. After 4 years, the ratio will be 9:7. What is the present age of Sunil
Answer:
32 years old
Step-by-step explanation:
Please see attached picture for full solution.
Let Sunil's present age be 4x and his wife's present age be 3x.
A shop advertises 25% off its prices in a sale.
A dress is £90 in the sale.
How much was it before the price reduction?
Answer:
it's 22.5
Step-by-step explanation:
You do 25% of 90 =22.5
Answer:
£120
Step-by-step explanation:
A reduction of 25% of the price, means the price of the dress in sale is 75%.
⇒ £90 →75%
X→100%
⇒ the price before the reduction= X=(90×100)÷75=£120
The y-intercept in the linear equation −2y−4x−6=0 is _[blank]_. will give brainliest
Answer:
-3 is the value of the location where the line crosses the y-axis,and is commonly referred in the slope-intercept form of a line "the intercept". Now it may be your teacher expects you to answer this as the point on the plane where the y-intercept occurs, and that should be the point (0, -3). Make sure you follow your teacher's notation.
Step-by-step explanation:
Re-write the equation given in slope=intercept form by isolating the variable "y" on one side of the equation and expressing the rest in slope*x + y-intercet form:
[tex]-2y-4x-6=0\\-4x-6=2y\\y=-2x-3\\[/tex]
which tells us that the slope of the line is -2 and it y-intercept is "-3".
Now, watch out because you may be asked to write the actual coordinates of the y-intercept, which are: (0, -3)
giving the x-coordinate 0 and the y-value where the line crosses the y-axis.
Answer:
-3.
Step-by-step explanation:
-2y - 4x - 6 = 0
-2y = 4x + 6
y = -2x - 3
So, the y-intercept is (0, -3).
Hope this helps!
trig and picture pls help
Answer:
Im pretty sure that the answer is 32.
Step-by-step explanation:
Hope this helps
What do the Nineteenth Amendment and the Indian Citizenship Act of 1924
have in common?
O A. They both affected American Indians directly.
O B. They both allowed certain Americans to own property.
O C. They both permitted free expression with some restrictions.
O D. They both provided suffrage to a group of Americans.
Answer:
D
Step-by-step explanation:
Suffrage is the right to vote, and the nineteenth amendment gave women the right to vote, and the indian citizenship act of 1924 gave native americans the right to vote
Can someone please help me I really need help it’s my last question
Answer:
x^2+11x+30
Step-by-step explanation:
This is a parallelogram.
Area of a parallelogram can be found with:
A=bh
Plug our values in.
A=(x+6)(x+5)
FOIL-
First: x*x=x^2
Outside: x*5=5x
Inside: 6*x=6x
Last: 6*5=30
x^2+5x+6x+30
Combine like terms.
x^2+11x+30
I NEED HELP PLEASE, THANKS! :)
A gear of radius 6.1 cm turns at 11 revolutions per second. What is the linear velocity of the gear in meters per second?
v = linear velocity, d = distance traveled, and t = time.
Answer:
Velocity = 4.22 m/s
Step-by-step explanation:
Time = 1 second
Radius = 6.1 cm
Diameter = 12.2 cm = 0.122 m
Displacement = Revolution × π × Diameter
Displacement = 11 × 3.14 × 0.122
Displacement = 4.22 m
Now, Linear velocity:
Velocity = displacement / Time
Velocity = 4.22 / 1
Velocity = 4.22 m/s
Answer: 4.216 meters per second
Step-by-step explanation:
Notes: Use the following conversions:
1 revolution = 2π
100 cm = 1 meter
and the following formula: v = ωr/t where v is in meters per second
[tex]\dfrac{11\ revolutions\times 6.1\ cm}{1\ second}\times \dfrac{2\pi}{1\ revolution}\times \dfrac{1\ meter}{100\ cm}=\dfrac{1.342\pi\ meters}{second}\\\\\\=\large\boxed{\dfrac{4.216\ meters}{second}}}[/tex]
HURRY PLEASE HELP Which quadratic function fits the three points (1, −2), (2, −2), and (3, −4)? A. y = x2 − 3x − 8 B. y = x2 + 3x − 4 C. y = −x2 − 4x + 4 D. y = −x2 + 3x − 4
Answer:
D
Step-by-step explanation:
If we plug in the points to A, not all 3 of them work so A is not the answer. If we repeat this process with the other functions we see that the answer is D.
The graph below shows the price of different numbers of beach balls at a store: Which equation can be used to determine p, the cost of b beach balls? b = 5.50p p = 5.50b p = 11b b = 11p
Answer:
p = 5.50b
Step-by-step explanation:
2 beach balls cost 11
4 beach balls cost 22
6 beach balls cost 33
So each (1) ball b costs 5.50 ($) p
Soon Yi loves to bake, and she is making flaky pastry. Soon Yi starts with a layer of dough 2 22 millimeters ( mm ) (mm)left parenthesis, start text, m, m, end text, right parenthesis thick. The baking process then involves repeatedly rolling out and folding the dough to make layers. Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % 8%8, percent. What is the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm 2.5mm2, point, 5, start text, m, m, end text thick
Answer:
3times
Step-by-step explanation:
Baking Process: repeatedly rolling out and folding the dough to make layers
Soon Yi starts with a layer of dough = 2millimeters
Each time Soon Yi rolls and folds the dough, the thickness increases by 8 % = 1 + 8 %
When time = 1
Thickness = 2(1 + 8 %) = 2(1+0.08)
= 2(1.08) = 2.16
For time = n
Thickness = 2(1 + 8 %)^n = 2(1.08)^n
When thickness ≥ 2.5mm, n= ?
2.5 = 2(1.08)^n
2.5/2 = (1.08)^n
1.25 = (1.08)^n
Since the numbers are close (1.25 and 1.08), we can compute by multiplying 1.08 by itself till we get 2.5.
1.08 ×1.08× 1.08 = 1.259712
(1.08)³ is a bit above 1.25
2(1.08)³ satisfies the thickness of at least 2.5mm
Let's check our answer using the formula:
When n = 3
2(1.08)³ = 2 × 1.259712 = 2.519424
This satisfies the thickness of at least 2.5mm
Therefore, the smallest number of times Soon Yi will have to roll and fold the dough so that the resulting dough is at least 2.5 mm = 3
Which expression represents a difference of squares ?
Answer:
first and last options
Step-by-step explanation:
Difference of squares are in the form a² - b². The only choices that satisfy this are 25x² - 36 and 1 - 16x².
Answer:
1 and 4
Step-by-step explanation:
a line segment has the endpoints of v(0,3) and w(8,9). find the coordinates of its
midpoint
Answer:
4,6
Step-by-step explanation:
midpoint formular= ½(x¹+x²), ½(y¹+y²)
½(0+8), ½(3+9)
½(8), ½(12)
4,6
Calcula el volumen, en centímetros cúbicos, de una habitación que tiene 5 m de largo, 4 m de ancho y 2.5 m de alto.
Answer:
50,000,000 centímetros cúbicos.
Step-by-step explanation:
En la pregunta anterior, se nos dan las dimensiones de este cubo en metros como:
Longitud = 5m
Ancho = 4 m
Altura = 2.5 m
Nos dijeron que encontraramos el volumen en centímetros cúbicos
Paso 1
Convierta todas estas dimensiones a centímetros
1m = 100cm
Por lo tanto:
Longitud = 5 m = 5 × 100 cm = 500 cm
Ancho = 4 m = 4 × 100 cm = 400 cm
Altura = 2.5 m = 2.5 × 100cm = 250cm
Paso 2
Fórmula para el volumen de un cubo = Largo × Ancho × Alto
Volumen = 500 cm × 400 cm × 250 cm
Volumen = 50,000,000 centímetros cúbicos.
Por lo tanto, el volumen, en centímetros cúbicos, de la habitación es de 50,000,000 centímetros cúbicos.