The standard deviation of 83 million eggs and 2,655 millions eggs represent that of 3% of the farmers, of the production that is normally distributed, indicates that the mean egg production by Queensland farmers is about 2498.1 million eggs.
What is a normal distribution?A normal distribution is a probability distribution such that the values of the distribution are symmetrical around the mean value of the distribution.
The standard deviation, σ = 83 million eggs
The percentage of farmers that produce more than 2,655 million eggs, x = 3%
The formula for the z-score is; [tex]Z = \dfrac{x - \mu}{\sigma}[/tex]
Therefore, we get;
[tex]Z = \dfrac{2655 - \mu}{83}[/tex]
From the z-score table for P(Z > Z₁), where Z₁ is the z-score corresponding to Φ(1 - 0.03) = Φ(0.97)
The z-value corresponding to Φ(0.97) is about 1.89
Therefore;
[tex]Z = \dfrac{2655 - \mu}{83} \approx 1.89[/tex]
83 × 1.89 ≈ 2655 - μ
μ ≈ 2655 - 83 × 1.89 = 2498.1
The mean egg production by Queensland farmers is about 2498.1 million eggs per year
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The circumference of a circle is 7.536 millimeters. What is the circle's radius?
Help me please pretty please
Answer:
Unemployment rate = 5.3%
Step-by-step explanation:
8000/150000 = 0.053
Convert to percentage:
0.053*100 = 5.3%
Help pls help me with this question please
The answer to this is A. I hope this helps
Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at the monthly rate to buy the item for its cash price. a bunk bed with a cash price of $1,998, at $143 per month for 15 months
shue isvsye jrue si buabs ikwgeh oshe
The following data are from a simple random sample (The population is infinite): Data were collected on the amount spent by 130 customers for lunch at a major Houston restaurant. Based upon past studies the population variance is known with 256. Sample Mean: $21.5 Find the standard error of the mean. If needed round your intermediate calculations to no more than 2 decimal places. Round your final answer to 2 decimal places.
Answer:
1.40
Step-by-step explanation:
Given that
the number of customers are 130
The variance is 256
And, the sample mean is $21.50
We need to find out the standard error
So , the standard deviation is
= sqrt(variance)
= sqrt(256)
= 16
As we know that
standard error of mean = standard deviation ÷ sqrt(n)
= 16 ÷ sqrt(130)
= 1.40
To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?
(b) How much interest did Donna pay on the loan?
Total amount paid by Donna is $16,689.6 and interest paid is $789.6.
What exactly does a down payment mean?The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.
According to question:
Given,
Price of car= $15,900
Down Payment=$4800
number of months=12 x 4=48 month
Monthly payment=$245.70
Total amount Donna paid = Down payment+ all monthly installment
Total amount = $4800+ 48 x 247.70 =$16,689.6
Interest Paid = $16,689.6 - $15,900 = $789.6
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Find the volume of the pyramid. 2.4 m 1.4 m 1.8 m
Answer:
It should be 2.016 m cubed
Step-by-step explanation:
the formula is V= 1/3 ( l × w × h ) if you want to check
2x(6x^2 + 3x - 1)
Simplify
Ronald is organizing his CD collection. He has 76 CDs, 28 of which are rock. If Ronald randomly selected one of his Cd what is the probability that it will be a rock CD? (In the simplest fraction)
Answer:
there is a 36% percent chance
Step-by-step explanation:
28/76 = 36/100 to get the probability.
Answer: 7/19
Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.
3. It is 2:30 p.m. Talia has to be at cheerleader practice in 45 minutes. What
time will Talia be at cheerleading practice?
Answer:
3:15 p.m.
Step-by-step explanation:
45 minutes past 2:30 p.m. is 3:15 p.m.
2:30 p.m. to 3:00 p.m. is 30 minutes
3:00 p.m. to 3:15 p.m. is 15 minutes
30+15 = 45 minutes
Answer:
She will be at cheerleading practice at 3:15 pm?
Step-by-step explanation:
Fake college smh
A person is standing 18 feet from the base of a tree and there's a bird's nest in the tree 10 feet above the ground. what is the angle of elevation from the person to the birds nest? round to the nearest tenth of a degree?
The angle of elevation from the person to the birds nest is 29^o.
What is angle of elevation?When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.
From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.
So, to determine the measure of the required angle of elevation of the bird's nest, we have;
Tan θ = opposite/ adjacent
Tan θ = 10/18
= 0.5556
θ = Tan^-1 0.5556
= 29.05
θ = 29^o
Thus, the angle of elevation from the person to the bird's nest is 29^o.
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HELPPPPPPPPPP MEEE PLEASE hehe lol
dwkalbndjksedBGFesklfn sedfesg
Answer:
167.27.653000.9387400133.33323003196.2616833.333
Find the measure of angle A,
The value of the Angle A is 74.3°.
What is Relation between angle and Side of a triangle?The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.
The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.
The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.
We know:-AB/sin(c)=AC/sin(a)=BC/sin(b)
8/sin(a)=5/Sin37°
Angle= 74.3°.
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i need help im almost done and this is my second to last question probably helpppp
24.
-2
2
NO
2
y-int=
slope =
equation:
y
2
X
On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0
What is graphs?Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.
from data provided by the graphs,
we have a straight line,
which means that the coordinates are equal.
so the equation will be x = y
x-y = 0
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Through: (2/2), slope = -1/2
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Two numbers total 31 and have a difference of 9. Find the two numbers.
Answer:
20, 11
Step-by-step explanation:
x=first Number
x-9=second number
above two added together=31 or
x+(x-9)=31
2x=40
x=20 first number
x-9=second number
20-9=11 second number
20 (first number) + 11 (second number)=31
31=31
What two rays form angle 1?
Answer:
box 2 and 3
Step-by-step explanation:
the rays are the only two that form the angle of 1
When f(x) is divided by x-c, the remainder of
synthetic division is 0. Which of the following
statements are true?
A. (x-c) is a factor of f(x)
B. (0, c) is the y-intercept of the graph of f(x)
C. (c, 0) is the x-intercept of the graph of f(x)
D. Both A and B
E. Both A and C
Answer:
(x-c) is a factor of f(x)
Find y.
7.54
6.76
18.55
29.83
The length of y in the triangle is 18.55 units.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.
Therefore,
a / sin A = b / sin B = c / sin C
Applying the sine law,
y / sin 106 = 15 / sin 51
cross multiply
y sin 51° = 15 sin 106°
divide both sides by sin 51°
y sin 51° / sin 51° = 15 sin 106° / sin 51°
y = 15 sin 106° / sin 51°
Therefore,
y = 15 × 0.96126169593 / 0.77714596145
y = 14.4189254391 / 0.77714596145
y = 18.5536589719
Hence,
y = 18.55 units
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8 lb =___oz Complete the conversion.
Answer: 128 ounces
Step-by-step explanation:
One ounce has a mass of 16 and 16 x 8 is 128
Please help! I will mark your brainiest, thank you!
Answer:
6
Step-by-step explanation:
The straight line (at the bottom) measures a total of 180 degrees. So we can write an equation where the sum of all of the angles = 180:
180 = 5x + x + 54 + 90
90 comes from the square indicating a right angle.
Using that equation, solve for x.
180 = 5x + x + 54 + 90
First, combine like terms.
180 = 6x + 144
Then subtract 144 from both sides
36 = 6x
Divide both sides by 6 to isolate x
6 = x
So x = 6°
find bce PLEASE AND THANKS
The unknown angle of the triangle is as follows:
∠BCE = 65 degrees
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, the angle ∠BCE can be found as follows:
∠BAC = 70 degrees
∠ABC = 60 degrees
∠ACB = 180 - 70 - 60
∠ACB = 180 - 130
∠ACB = 50 degrees
Hence, using exterior angle theorem,
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
∠BCD = 60 + 70 = 130 degrees
Hence,
∠BCE = 130 / 2 = 65 degrees
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To participate in a baseball league, the required equipment for each player is a glove, a hat, and a pair of cleats. A glove costs $45.95, a hat costs $23.95, and a pair of cleats costs $28.95. What is the total cost for a team of 13 players?
Answer:
Total cost for team: $1285.05
Step-by-step explanation:
45.95 + 23.95 + 28.95 = 98.85
98.85 * 13 = 1285.05
What is an equation of the line that passes through the points ((1,8) and (−1,−2)?
Solution:
Let (1,8)=(x1,y1)
(-1,-2)=(x2,y2)
D=?
Now,
D=
[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]
or, D=
[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]
[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]
[tex] \sqrt{4 + 100 } [/tex]
[tex] \sqrt{104} [/tex]
2[tex] \sqrt{26} [/tex]
Use the Pythagorean Theorem: x=
Answer:
[tex]\sqrt{253}[/tex]
Step-by-step explanation:
The question asks to use the Pythagorean Theorem...
which is [tex]a^{2} + b^2 = c^2[/tex]
1. Note that c is always the hypotnuse (the longest side of the triangle)
c = 172. Note that a and b represent both legs of the triangle
a = 63. Find b using pythagorean theorem (x = b)
[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]
Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]
**You should not need to round on this problem, no %'s decimals only**
At Houston Community College 60% of the students who take English will pass. Of those who pass English, 70% will also pass Accounting. Of those that do not pass English, 45% will still pass accounting.
a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]
b) Probability of Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]
c) Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]
What is Probability?The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.
Here let us assume the Total Number of students is 100.
Students who passes in English = 60% of total number of students
= [tex]60*100/100=60[/tex]
Students who passes in English = 60.
Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]
So Student who passed in both English and Accounting = 42.
Also Number of student that do not passed in English = 100 - 60 = 40.
Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]
So Number of student pass in Accounting but not in English = 18.
Total Number of student pass in Accounting = 42 + 18 = 60.
A) Number of student passed in English and Accounting = 42
Total Number of student = 100
Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]
B) Total Number of Student passed Accounting = 60
Total Number of student = 100
Probability of Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]
C) Probability that student passed Accounting = 60/100.
Probability that student passed English = 60/100.
Given that student passed Accounting. Probability that they passed
English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]
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plz I need help don't know what to do
Answer:
62.5
Step-by-step explanation:
You would take 62.5% and 45, using long multiplication to get .625
You would then multiply .625 and 100, getting 62.5
A sports ball has a diameter of 13 cm. Find the volume of the ball.
Answer:
V≈1150.35cm³
Step-by-step explanation:
Using the formulas
V=4 /3πr3
d=2r
Solving for V
V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³