Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 20 pounds. The largest pandas weigh over 250 pounds.
Approximately what percent of the adult pandas weight over 250 pounds?
0.62%
98.61%
1.39%
98.38%
0.62% of the adult pandas weight over 250 pounds
What is z score?
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (raw score - mean) / standard deviation
Given mean of 200 pounds and a standard deviation of 20 pounds.
For x > 250 pounds:
z = (250 - 200) / 20 = 2.5
P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%
0.62% of the adult pandas weight over 250 pounds
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:) Which division problem is modeled by the picture? A) 30 + 7 = 4 with a remainder of 2 B) 30 + 4 = 4 with a remainder of 2 C 30 + 2 = 7 with a remainder of 4 D) 30 = 4 = 2 with a remainder of 7
If a person who is 5. 5 feet tall throws a baseball into the air, the path can be modeled using the table of values, where x represents the time in seconds and y is the height of the ball in feet.
x y
0 5. 5
1 7. 35
2 8. 9
3 10. 15
4 11. 1
5 11. 75
Which quadratic equation models the data in the table?
y= −0. 25x2 + 2x + 5. 5
y= −0. 35x2 + 2x + 5. 5
y= −0. 27x2 + 3x + 5. 5
y= −0. 15x2 + 2x + 5. 5
The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5
How to determine the quadratic model?A quadratic model is represented as:
y = ax² + bx + c
Using the point (x,y) = (0,5.5);
We have:
a(0)² + b(0) + c = 5.5
This gives
c = 5.5
Substitute c = 5.5 in y = ax² + bx + c
y = ax² + bx + 5.5
Using the point (x,y) = (1,7.35);
We have:
a(1)² + b(1) + 5.5 = 7.35
This gives
a + b + 5.5 = 7.35
Subtract 5.5 from both sides
a + b = 1.85
Using the point (x,y) = (2, 8.9);
We have:
a(2)² + b(2) + 5.5 = 8.9
This gives
4a + 2b + 5.5 = 8.9
Subtract 5.5 from both sides
4a + 2b = 3.4
Divide through by 2
2a + b = 1.7
Subtract a + b = 1.85 from 2a + b = 1.7
2a - a + b - b = 1.7 - 1.85
This gives
a = -0.15
Substitute a = -0.15 in 2a + b = 1.7
-2 * 0.15 + b = 1.7
This gives
-0.3 + b = 1.7
Add 0.3 to both sides
b = 2
Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5
y = -0.15x² + 2x + 5.5
Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5
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#SPJ1
SOMEONE HELP I NEED THE WHOLE ANSWER WITH WORK FOR TONIGHT
Answer:
325 or 325/1
Step-by-step explanation:
The formula for slope is:
y1 - y2/x1 - x2
Plugging the numbers in gives you:
40 - 690/0-2
Do subtraction first:
-650/-2
Two negatives make a positive and simplifying the fraction gives you:
325 or 325/1
Whichever makes you happier
(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))
Hope this helps you :)
What is trigonometry and where is it used?
Answer:
Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding.
Answer number 9 pleaseeee
Answer:
No 9.
[tex]120 \: \times \frac{5}{100} [/tex]
What is the greatest common factor of 722 and 18?
Answer:
3 hope it helps
2
Solution:The greatest common factor, or GCF, of 722 and 18 is 2.Why? Because 722 and 18 are evenly divisible by 2.722 is not evenly divisible by 3, 6, 9, or 18 (the other factors of 18, except 1, which is a factor of all numbers).Therefore, the GCF is 2.Hope it helps.
Do comment if you have any query.
Learning task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by sending a message on messenger or sms use the table to record the data.
help me pls
nonsense=report
nice answer=brainles
pls dont waste my points
28
A principal gathered data about the distance, in miles, that his teachers and bus drivers
live from the school. The box plots below show these data.
DISTANCE FROM THE SCHOOL
Bus Drivers
Teachers
10 15 20 25 30 35 40
Distance from School (miles)
Based on the box plots, which statement is true?
A
The interquartile range of the distances for the bus drivers is twice the
interquartile range of the distances for the teachers.
B
The range of the distances for the teachers is twice the range of the distances for
the bus drivers.
The interquartile range
of the distances for the bus drivers is 5 miles less than the
C
interquartile range of the distances for the teachers.
D
The range of the distances for the teachers is 5 miles less than the range of
the
distances for the bus drivers.
[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]
C
Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.
help please fast!!!!!!!!
Answer:
Step-by-step explanation:
If there is only ONE output for each INPUT it can be a function
From top
Y N Y Y N Y
b) look at the second one
put in 30 days out put = april jun aug nov one input 4 outputs
so it is not a function
100 POINTS AND BRAINLIEST!!!! SHOW YOUR WORK!!!!!!!!
Solve for x to the nearest tenth.
Answer:
I got x= 57 degree
Step-by-step explanation:
Steps in the photo-
Answer:
57 degree
Step-by-step explanation:
Like what he said.
Miguel and three of his friends went to the movies. They originally had a total of $40. Each boy had the same amount of money and spent $7.50 on a ticket. How much money did each boy have left after buying his ticket?
A. Draw a bar diagram that represents the situation.
B. Write and solve an equation that represents the situation.
C. Explain how you solved your equation.
D. Compare the arithmetic solution and the algebraic solution.
What is the value of x in the equation −25x−2=18?
Answer:
x = -0.8
Step-by-step explanation:
-25x - 2 = 18
-25x -2 - 2 = 18 - 2
-25x = 16
-25x/-25 = 16/-25
x = -0.8
Answer:x=4/5
Step-by-step explanation: First you add two to both sides to cancel out the -2.Next you simplify and add the numbers.Finally, you divide both sides and simplify.
What is the equation of the line that passes
through the point (3, 1) and the point (6,-1)?
Answer:
C.
Step-by-step explanation:
Hope this helped!
Find angle hif angle 46
Answer:
Step-by-step explanation:
The frequency table shows the ages of the actors
in a youth theater group. What percent of the
actors are 10 to 12 years old?
The percentage of youth that are category 10 to 12 is the quotient of their frequency to the total frequency
55% of the actors are 10 to 12 years old
How to determine the percentage?From the complete question, we have the following parameters
Age 10 - 12 = 22 youthsTotal youth = 40The percentage of youth in the age category 10 - 12 is then calculated as:
Percentage = Frequency of age category 10 - 12/Total frequency
This gives
Percentage = 22/40
Evaluate the quotient
Percentage = 55%
Hence, 55% of the actors are 10 to 12 years old
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Akira's dog will be having four puppies. Akira performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
The results of the simulation are:
1. THHT 6. HHHT
2. HTHH 7. HHTT
3. HTTH 8. THTH
4. TTTH 9. HHTT
5. TTTH 10. HTHH
What is the estimated probability that at least two of the puppies will be
female?
Answer:
u didnt put the anwsers but its 80% percent now can i have brainliest pls ty
Step-by-step explanation:
find the inverse of the function
If h⁻¹(x) is the inverse of h(x), then by definition of inverse function,
h(h⁻¹(x)) = x
Given that h(x) = 6∛(2x + 5) - 1, we have
h(h⁻¹(x)) = 6∛(2 h⁻¹(x) + 5) - 1 = x
Solve for h⁻¹(x) :
6∛(2 h⁻¹(x) + 5) - 1 = x
6∛(2 h⁻¹(x) + 5) = x + 1
∛(2 h⁻¹(x) + 5) = (x + 1)/6
[∛(2 h⁻¹(x) + 5)]³ = [(x + 1)/6]³
2 h⁻¹(x) + 5 = (x + 1)³/216
2 h⁻¹(x) = (x + 1)³/216 - 5
h⁻¹(x) = (x + 1)³/432 - 5/2
Trees that are cut down and stripped of their branches for timber are
approximately cylindrical. A timber company specializes in a certain type
of tree that has a typical diameter of 50 cm and a typical height of about
10 meters. The density of the wood is 380 kilograms per cubic meter, and
the wood can be sold by mass at a rate of $4. 75 per kilogram. Determine
and state the minimum number of whole trees that must be sold to raise
at least $75,000. *
From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.
What is density?Density is defined a the mass per unit volume. Now we have the following;
Diameter = 50 cm or 0.5 m
height = 10 meters
volume = ?
Density of the cylinder = 380 Kg/m^3
Now;
We can get the volume from;
V = πr^2h
V = 3.142 * (0.5/2)^2 * 10
V = 1.96m^3
From;
D = m/V
m = DV
m = 1.96m^3 * 380 Kg/m^3
m = 744.8 Kg
If 1 Kg of wood is sold at $4. 75
744.8 Kg is sold at 744.8 Kg * $4. 75/ 1 Kg
= $3537.8
Number of whole trees to be sold at $75,000= $75,000/$3537.8
= 21 trees
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i need help ASAP worth 100Pts
#b
Attached
#a
y=x²y=2(x-2)²+1So
General equation of parabola
y=a(x-h)²+klet's note the changes
The value of a is changed from 1 to 2 ,hence change in focus .x² is turned to (x-2)² ,hence change in x axis (2 units right)+1 is added hence the y coordinate of vertex goes 1 units up .Vertex of first one is at (0,0) but second one is at (2,1)Answer:
Transformation of f(x) to g(x):
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit up(see attachment for graphs)
Step-by-step explanation:
Translations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
Parent function:
[tex]f(x)=x^2[/tex]
Translated 2 units to the right:
[tex]\implies f(x-2)=(x-2)^2[/tex]
Stretched vertically by a factor of 2:
[tex]\implies 2f(x-2)=2(x-2)^2[/tex]
Translated 1 unit up:
[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]
Therefore, the transformation of f(x) to g(x) is:
Translation of 2 units rightVertical stretch by a factor of 2Translation of 1 unit upLearn more about translations here:
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2 A cone has a volume of 1086 and a base diameter of 12. What is the height of the cone? (1) 27 (3) 3 (2) 9 (4) 4
well, if its base has a diameter of 12, that means its radius is half that, or 6.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]
7 times what equals 12
Answer:
12/7Step-by-step explanation:
Let the required number be 'n'.
Then, we need to find what the value of n is.
According to the question,
7 x n = 12Multiply both sides by 1/7.
7 x n x 1/7 = 12 x 1/77/7 x n = 12/7n = 12/7The radius and center of circle C are shown. Use 3.14 for pi . Round to the nearest tenth.
Answer:
See below
Step-by-step explanation:
Circumference = pi * d = 18 pi inches
Area = pi r^2 = pi * 9^2 = 81 pi in^2
Della bout a tree seedling that was two and one 4th feet tall during the first year it grew one and 16 feet after two years it was 5 feet tall how much did see thing go during the second year
Answer:
sorry i'm having an exam and its rlly hard so i'm looking for answers myself
Step-by-step explanation:
...
hope it helps
the answer is
find the area of the triangle. please show all the work.
Answer:
Step-by-step explanation:
If triangle equilateral, then h = 3 × 4√3 = 12√3
If side of triangle is "x" , then length of the base is
x² - ( [tex]\frac{x}{2}[/tex] )² = ( 4√3 )²
4x² - x² = 192
x² = 64
x = 8
[tex]A_{triangle}[/tex] = 8 × 12√3 = 96√3
Which best describes the resulting three-dimensional figure? a cone with a base radius of 26 cm a cone with a base radius of 14 cm a cylinder with a base radius of 26 cm a cylinder with a base radius of 14 cm
The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
What is solid of revolution?When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.
Since no image is specified, we will work on the image attached below.
We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.
Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.
Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.
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aye what is 2x3x5/7x8
Answer:
.5357
Step-by-step explanation:
Follow PEMDAS
Multiplication (M) comes before division (D)
Therefore, solve the multiplication expressions first:
2 * 3 * 5 = 30
and
7 * 8 = 56
Now Division:
30 / 56 = .5357
Cooper gave out a survey to some students in his school about their favorite color. Students could choose between red and blue. 129 of those surveyed said their favorite color was red. 57% of the students surveyed said their favorite color was blue. How many students were surveyed in total?
Using proportions, it is found that since 43% of the total amount is 129, 300 students were surveyed in total.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, since 57% of the students surveyed said their favorite color was blue, hence 100 - 57 = 43% said it was red, and this amount is of 129 students, hence:
0.43n = 129
n = 129/0.43.
n = 300.
300 students were surveyed in total.
More can be learned about proportions at https://brainly.com/question/27396612
Rosa earns $120 per week tutoring math. Each week, she puts 36$ from her paycheck in a bank account to save for college. Find the amount Rosa saves out of $100.
Answer:
30
Step-by-step explanation:
You can do 36*100=3600 and do 3600/120. This is a very simple way to get 30 out of 100
Answer: $30
Step-by-step explanation: If she saves $36 when she earns $120, then she saves *amount =36/120 ×100
Amount saved with $100 earning is $30
The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:
Side of Coin Landed On Heads Tails
Number of Flips 54 46
Which of the following best describes the experimental probability of getting heads?
The experimental probability is the same as the theoretical probability.
The experimental probability is 4% lower than the theoretical probability.
The experimental probability is 4% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer: Answer: Third option is correct.
Step-by-step explanation: Step-by-step explanation:
Since we have given that
Number of heads = 56
Number of tails = 44
Total number of flips = 100
So, Probability of getting head is given by
Theoretical probability of getting head is given by
There is a difference of
0.54-0.50=0.04 = 4%
Hence, the experimental probability is 4% higher than the theoretical probability.
Therefore, Third option is correct.
Answer:
The experimental probability is 4% lower than the theoretical probability.
Step-by-step explanation:
because i took this before and got it right