The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.0977
b) 0.3507
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
Mean = 1395 grams
Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
(a) What proportion of broilers weigh between 1160 and 1250 grams?
For x = 1160
z = 1160 - 1395/300
= -0.78333
Probability value from Z-Table:
P(x = 1160) = 0.21672
For x = 1250 grams
z = 1250 - 1395/300
z = -0.48333
Probability value from Z-Table:
P(x = 1250) = 0.31443
The proportion of broilers weigh between 1160 and 1250 grams is
0.31443 - 0.21672
= 0.09771
≈ 0.0977
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
For x = 1510
= z = 1510 - 1395/300
z = 0.38333
Probability value from Z-Table:
P(x<1510) = 0.64926
P(x>1510) = 1 - P(x<1510) = 0.35074
Approximately = 0.3507
(c) Is it unusual for a broiler to weigh more than 1610 grams?
For x = 1610
= z = 1610 - 1395/300
z = 0.71667
Probability value from Z-Table:
P(x<1610) = 0.76321
P(x>1610) = 1 - P(x<1610) = 0.23679
No it is not unusual for a broiler to weigh more than 1610 grams
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Answer:
19,133.067Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
(1, 72), (3,66), (5, 53), (7, 40), (9, 34)
WILL MARK BRAINLIEST Cole determined the equation of a linear regression line, and determined that these are the corresponding predicted v
(1, 74), (3,63), (5, 52), (7, 41), (9, 30)
Use the point tool to graph the residual plot for the given values in the data set.
Answer:
y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]
Step-by-step explanation:
(1, 74)
(3, 63)
m = (63 - 74) / (3 - 1) = [tex]-\frac{11}{2}[/tex]
y - 74 = [tex]-\frac{11}{2}[/tex] (x - 1)
y = [tex]-\frac{11}{2}[/tex] x + [tex]\frac{159}{2}[/tex]
The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?
Answer:
15,003 and Highest Point
Step-by-step explanation:
The highest point is at a positive 14,864 feet so we will use the number 14, 864.
The lowest is at a negative (below sea level) 141, so we will use the number -141.
The difference between them means that you subtract.
14,862-(-141)= x
Note that there is a double negative so it is positive.
14862+141=15,003 feet difference between them.
A city at 7642 above sea level is:
7642-14862=7222 feet away. The city is 7222 feet away from the highest point.
7642--141=7783 feet away. The city is 7783 feet away from the lowest point.
7222 is less than 7783, so the city is closest to the highest point.
Answer:
The difference is 15,005 and for the second part its closer to the highest point
Hope this helps!
write an equation for the graph using point-slope form
Answer: y-6=5/6(x-4)
Step-by-step explanation:
using the 2 points to find the slope (-2,1) and (4,6):
(6-1)(4--2)=5/6
y-6=5/6(x-4)
Hhhhhheelllp ASAPpppppp
Answer:
c
Step-by-step explanation:
Find the approximate area under the curve by dividing the intervals into n subintervals and then adding up the areas of the inscribed rectangles. The height of each rectangle may be found by evaluating the function for each value of x. Your instructor will assign you n1and n2y = 2x underroot x^2 + 1 betwee x=0 and x=6 n1 and n2Find the exact area under the curve using integrationy = 2x underroot x^2 + 1 between x = 0 and x = 6
Explain the reason for the difference in your answers.
n1=12
n2=5
Answer and Step-by-step explanation: There are a number of ways of calculating an area under a curve. The more precise way is to use Definite Integral:
The function is [tex]2x\sqrt{x^{2}+1}[/tex], then the area under, with interval between 0 and 6 is:
[tex]\int\limits^6_0 {(2x\sqrt{x^{2}+1}) } \, dx[/tex]
To solve this integration, use substitution method, in which:
[tex]u=x^{2}+1[/tex]
[tex]\frac{du}{dx}=2x[/tex]
du = 2xdx
Replacing into the integral:
[tex]\int\limits^a_b {\sqrt{u} } \, du[/tex]
Solving:
[tex]\int\limits^a_b {\sqrt{u} } \, du=\frac{2}{3} \sqrt{u^{3}}[/tex]
Replacing it back to x:
[tex]\int\limits^6_0 {2x\sqrt{x^{2}+1} } \, dx =\frac{2}{3}\sqrt{(x^{2}+1)}[/tex]
Substituing limits between 0 and 6:
[tex]= \frac{2}{3}[\sqrt{(6^{2}+1)^{3}}-\sqrt{(0^{2}+1)^{3}} ][/tex]
= 149.37
Area under the curve using Integration is 149.37 square units
Another way of calculating area under the curve is dividing the area into a number of small rectangles and then adding the area of each one. This method is called Riemann Sums and it is an approximation of the area.
The method is done by the following relation:
in which
i is the n, the number of subintervals the area is dividing into
Δx is width of each subintervals.
For the function f(x) = [tex]2x\sqrt{x^{2}+1}[/tex], interval between 0 and 6:
subinterval n1 = 12:[tex]\Delta x=\frac{6-0}{12}[/tex]
[tex]\Delta x=[/tex] 0.5
[tex]A=\Sigma f(x_{i}).\Delta x[/tex]
[tex]A = f(0)*0.5+f(0.5)*0.5+f(1)*0.5+f(1.5)*0.5+f(2)*0.5+f(2.5)*0.5+f(3)*0.5+f(3.5)*0.5+f(4)*0.5+f(4.5)*0.5+f(5)*0.5+f(5.5)*0.5[/tex]
[tex]A=0+1.12*0.5+2.83*0.5+...+50.99*0.5+61.49*0.5[/tex]
A = 131.575 square units
subinterval n2 = 5:[tex]\Delta x=\frac{6-0}{5}[/tex]
Δx = 1.2
[tex]A=f(0)*1.2+f(1.2)*1.2+f(2.4)*1.2+f(3.6)*1.2+f(4.8)*1.2[/tex]
[tex]A=0*1.2+3.75*1.2+12.48*1.2+26.90*1.2+47.07*1.2[/tex]
A = 108.24 square units
Comparing results, notice that with less subintervals, the area is far from the exact measure. It occurs because Riemann Sums is an approximation method. So, if there are more subintervals, more approximate is the area, therefore, more precise it will be.
3 2/3 x 2 3/4 what is the answer guys and thank you to anyone helping me out with this question
Answer:
The answer is 6 6/12
Step-by-step explanation:
please help! due in less than 20 minutes!
Answer:
1. -8 feet= 8 feet
-2 feet= 2 feet
2. Jordin’s balance is a debt of MORE than 27$
3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.
Hope this helps hun! Good Luck!
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CHAPTER 22
Statistics and Central Tendencies
results are shown in the table below.
Number of visits
Number of people
1
6
2 3
119
5
7.
8
6
S
7.
4
(a) Find the median number of visits per person.
(b) Calculate the mean number of visits per person.
[ Jan., paper 1, No. 21
ling between two cities, 3/8 of the passengers ar
Fifty people visiting a museum were asked how many times they had visited the museum
Answer:
p
Step-by-step explanation:
How much does a 6-ounce apple weigh in grams?
I'll give brainiest
Answer:
169
Step-by-step explanation:
otld7dlyzotzfkztkzk
HELP please
David goes to LongHorn with his friend Alice. Their bill comes out to be $45.90. They decide to tip the waiter 25%. What is their total amount they leave?
Answer:
$57.38
Step-by-step explanation:
The total bill is $45.90.
They decided to tip the waiter 25%.
Therefore, the total amount they leave will be the total bill plus the amount they will tip.
They amount they tipped is 25% of the total bill. Therefore, the tip is 0.25(45.9) or approximately $11.48 (rounded up).
So, the amount they will leave is the original amount plus the tip. So, in total, they left:
$45.90+$11.48 or $57.38
Answer:
57.38
Step-by-step explanation:
percent means per one hundred, or 1/100.
25%=25/100
45.90 times 25/100= 11.475
Since money doesn't have a thousandthes digit, I just rounded it up to 11.48.
11.48+45.90=57.38
Another way you could do it would be to just mutiply 45.90 by 125/100 to get 57.375, which rounds to 57.38.
Which expression is equivalent to 2cos^2(x/2)- cos(x)?
Edge 2020
Given:
The expression is
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
To find:
The expression which is equivalent to the given expression.
Solution:
We have,
[tex]2\cos^2(\dfrac{x}{2})-\cos (x)[/tex]
We know that,
[tex]\cos x=2\cos^2 (\dfrac{x}{2})-1[/tex]
Using this formula, the given expression can be written as
[tex]2\cos^2(\dfrac{x}{2})-\left(2\cos^2(\dfrac{x}{2})-1\right)[/tex]
[tex]=2\cos^2(\dfrac{x}{2})-2\cos^2(\dfrac{x}{2})+1[/tex]
[tex]=1[/tex]
Therefore, the given expression is equivalent to 1.
Answer:
B
Step-by-step explanation:
What is 52% of 230?
Answer:
4
Step-by-step explanation:
Answer:
119.6
Step-by-step explanation:
52 × 230 over 100 = 119.6
1+7 pls help me nowwwww
If the ribbon costs 10 cents ($0.10) per foot, what is the total cost of the ribbon in dollars? Explain your reasoning.....how do you know where to place the decimal?
Answer:
The cost would be $0.10. You would figure this out because 10 cents is a 10th of a dollar
Step-by-step explanation:
Jordan and $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip which would be the total amount Jordan earned
Jordan made a total of $50 for maintaining his neighbor's yard.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given, Jordan earned $35 for taking care of his neighbors lawn suppose the neighbor gave him a $15 tip.
Thus,
Total money Jordan earned = Salary + tip
Total money Jordan earned = 35 + 15
Total money Jordan earned = 50
therefore, the total amount Jordan earned is $50 for taking care of his neighbor's lawn.
Learn more about Mathematical operations here:
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PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?
Answer:
2 pounds
Step-by-step explanation:
i feel like it's a trick question :/
Please help on this math question! I will love to help back on anything and give brainliest
Answer:
the perimeter is 25.
Step-by-step explanation:
have a nice day!
what is 13x144 i don't know what it it im 2nd grade
Answer:
Step-by-step explanation: 1,872
Answer: 1,872
Step-by-step explanation:
If the coordinate ( -12, 15 ) was translated according to (x+3, y-2), what would the new coordinate be?
I will give you brainliest
Answer:
3 /4 I think
Step-by-step explanation:
How many times larger is 4 x 10 ^16 than 4 x 10^6?
Answer:
10^10 timesStep-by-step explanation:
To find it we will divide:
4 x 10^16 / 4 x 10^6 = 4/4 x 10^(16 - 6) = 1*10^10=10^10 timesThe first number is 10^10 times larger
Answer:
1e+16 and 1000000 multiply it then divide...
Step-by-step explanation:
The weekly milk order for the Tranquility Hotel includes 40 gallons of low- fat milk and 15 gallons of chocolate milk. What is the ratio of chocolate gallons to low- fat gallons in Tranquility Hotel's weekly milk order?
Answer:
15:40
Hope it helps!
Which number is NOT a common multiple of 4 and 6?
Answer:
8
Step-by-step explanation:
you can multiply 4 by another number to get 8
but you can’t multiply 6 by any whole number to get 8
Answer:
The answer is 8
Step-by-step explanation:
You can multiply 4 by two and get 8, but you can't multiply 6 by any whole number and get 8.
4 times 6= 24
6 times 4=24
4 times 3=12
6 times 2=12
4 times 15=60
6 times 10=60
Find the product of 3 1/5 and 5/8. Express your answer in simplest form
Answer:
8 4/5
Step-by-step explanation:
Answer:
this is the answer i hope it helps you 3 33/40
Help Asap! Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Measure of angle 3 is,
⇒ ∠3 = 90 degree
We have to given that,
A kite is shown in image.
Since, We know that,
If two sides of triangle are equal then its corresponding angles are also equal in a triangle.
Now, By given figure, we have;
64 x 2 + x + x = 180
128 + 2x = 180
2x = 180 - 128
2x = 52
x = 26
So, We get;
Measure or angle 1 is,
∠ 1 + 64 + 26 = 180
∠1 = 180 - 90
∠1 = 90 degree
Hence, By definition of vertically opposite angle,
⇒ ∠1 = ∠3 = 90 degree
Learn more about the angle visit:;
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a+b+c=88
b+c=84
a=2xb
Help!
Answer:
C=84∘, a=2, c=7
Step-by-step explanation:
Answer:
Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82