Given that the weight of oranges falls in a normal distribution, the empirical rule states that about 68% of oranges should weigh between 3 oz. and 7 oz., which are one standard deviation away from the mean of 5 oz.
Explanation:The question involves the concept of the empirical rule in statistics. The empirical rule states that for a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this scenario, the mean weight of the oranges is 5 oz. and the standard deviation is 1 oz. So, oranges that weigh between 3 oz. and 7 oz. fall within 1 standard deviation on either side of the mean. According to the empirical rule, this represents approximately 68% of the data. So, we can conclude that about 68% of the oranges in the orchard weigh between 3 oz. and 7 oz.
Learn more about Empirical Rule here:https://brainly.com/question/30700783
#SPJ12
What is the perimeter of the triangle?
Hey there!
First of all, let's count the sides that we can count.
Our shortest side is 8 units if you count the squares it covers.
Now we can do our other side, which is 15 units when you count.
Now, we need to find our third side, which is the longest. The longest side is the hypotenuse. Because this triangle is a right triangle (it has a ninety degree angle), we can use the Pythagorean Theorem to solve for this side.
The Pythagorean Theorem states that when a triangle is a right triangle, [tex]a^{2} +b^{2} =c^{2}[/tex], where a and b represent the legs, and c represents the hypotenuse.
So, what we will do now is take the sides we have and solve for our c.
[tex]8^{2} +15^{2} =c^{2} \\64+225=289=c^{2} \\c=\sqrt{289} \\c=17[/tex]
As you can see, we used the square root to undo the squared c.
Now, we add our three lengths to get our perimeter.
8+15+17=40
Therefore, our perimeter is 40 units.
I hope that this helps you! Have a wonderful day!
Check all of the boxes that show the quotient and
remainder of the division.
66.32
66.8
62.32
62 8/25
66 8/25
DONE
Answer:
66.32
66 8/25
Step-by-step explanation:
The quotient and remainder of the divisions are as follows: 66.32 divided by 66 has a quotient of 1 and a remainder of 0.32. 66.8 divided by 66 has a quotient of 1 and a remainder of 0.8. 62.32 divided by 66 has a quotient of 0 and a remainder of 62.32.
Explanation:When dividing numbers, the quotient is the result of the division and the remainder is what is left over. Let's check the quotient and remainder for each of the given numbers:
66.32 divided by 66: Quotient = 1, Remainder = 0.3266.8 divided by 66: Quotient = 1, Remainder = 0.862.32 divided by 66: Quotient = 0, Remainder = 62.3262 8/25 divided by 66: Quotient = 0, Remainder = 62 8/2566 8/25 divided by 66: Quotient = 1, Remainder = 8/25Learn more about Division of Numbers here:https://brainly.com/question/2273245
#SPJ2
What is the perpendicular height of an oblique prism with a volume of 144 cubic units and an area of 24 square units
Answer:
Height of the oblique prism is 18 units.
Step-by-step explanation:
Volume of an oblique prism = [tex]\frac{1}{3}(\text{Area of the base})(\text{Perpendicular height})[/tex]
Area of the base of this prism = 24 square units
And volume of the prism = 144 cubic units
By substituting these values in the formula,
144 = [tex]\frac{1}{3}(24)(h)[/tex]
h = [tex]\frac{144\times 3}{24}[/tex]
h = [tex]\frac{432}{24}[/tex]
h = 18 units
Therefore, height of the oblique prism is 18 units.
The weights of boxes of a certain brand of pasta follow an
approximately normal distribution with a mean of 16 ounces and a standard
deviation of 0.05 ounces.
What percentage of boxes have weights that are more than 1 standard
deviation above the mean? (Use the Empirical Rule 68, 95, 99.7)
a) 15%
b) 14%
c) 20%
d) 16%
Answer:
d) 16%
Step-by-step explanation:
The empirical rule states that for a normal distribution population with a mean (μ) and standard deviation (σ), the following conditions occur:
68% falls within one standard deviation μ ± σ95% falls within two standard deviation μ ± 2σ99.7% falls within three standard deviation μ ± 3σGiven μ = 16 ounce and σ = 0.05 ounce.
68% falls within one standard deviation = μ ± σ = 16 ± 0.05 = (15.95, 16.05)
the number that falls outside one standard deviation = 100% - 68% = 32%
Therefore percentage of boxes have weights that are more than 1 standard deviation above the mean = 32% / 2 = 16%
Approximately 32% of boxes have weights that are more than 1 standard deviation above the mean.
Explanation:To find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can use the Empirical Rule. According to the Empirical Rule, approximately 68% of the data falls within 1 standard deviation of the mean, 95% falls within 2 standard deviations, and 99.7% falls within 3 standard deviations.
Since we want to find the percentage of boxes that have weights more than 1 standard deviation above the mean, we can subtract 68% from 100% to get 32%. So, the answer is 32%.
https://brainly.com/question/32138580
#SPJ6
Please help im gonna scream im so confuesed :(
Answer:
[tex]14^{-17}[/tex]
Step-by-step explanation
using the rules of exponents, it would be [tex]14^{10}[/tex]÷[tex]14^{27}[/tex] so then take away 27 from 10 and get -17 meaning that the answer would be A or [tex]14^{-17}[/tex]
Answer: A
Step-by-step explanation:
14^10 is already set.
(14^9)^3 is not set you need to multiply the exponents
14^18
14^10/14^27 = 14
14^-27 or 1/14^27
Evaluate the expression for p = 5 and q = 6: pq 2 - q A)6 B)9 C)12 D)15
When evaluating the expression with p=5 and q=6, assuming the expression is 'p times q squared minus q', the result is 174, which does not match any of the provided options.
Explanation:The question provided requires evaluating an expression given the values for variables p and q. The expression provided seems to be 'pq 2 - q', but it is slightly unclear due to formatting. Assuming the expression is intended to be 'p times q squared minus q', and with p = 5 and q = 6, the evaluation would proceed as follows:
First, square the value of q: 6 squared = 36.Multiply this result by the value of p: 5 times 36 = 180.Finally, subtract the value of q: 180 - 6 = 174.Therefore, the result is 174, which does not match any of the provided multiple-choice options (A, B, C, D). The options may have been provided incorrectly or the expression may have been transcribed incorrectly. Without further clarification, the evaluated answer is 174.
You roll a fair number cube. Find each probability:
2. P(2, then 2)
1. P(3, then 5)
3. P(4, then odd)
Answer:
P(2, then 2) = [tex]\frac{1}{36}[/tex]
P(3, then 5) = [tex]\frac{1}{36}[/tex]
P(4, then odd) = [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Given: A fair number cube is rolled
To find: P(2, then 2) , P(3, then 5) , P(4, then odd)
Solution:
Probability refers to chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Sample space = [tex]\left \{ 1,2,3,4,5,6 \right \}[/tex]
Total number of outcomes = 6
P(2, then 2) = P(2)P(2) = [tex]\frac{1}{6}(\frac{1}{6})=\frac{1}{36}[/tex]
P(3, then 5) = P(3)P(5) = [tex]\frac{1}{6}(\frac{1}{6})=\frac{1}{36}[/tex]
Odd numbers out of the sample space = [tex]\left \{ 1,3,5 \right \}[/tex]
P(4, then odd) = P(4)P(odd) = [tex](\frac{1}{6})(\frac{3}{6} )=\frac{1}{12}[/tex]
To calculate the probability of rolling specific numbers on a fair, six-sided die, multiply the probabilities for each individual roll. P(2, then 2) and P(3, then 5) are both 1/36. P(4, then odd) is calculated as P(4) multiplied by the combined probability of rolling an odd number, resulting in 1/12.
Understanding Probability with a Fair Number Cube:
When rolling a fair, six-sided die, each outcome has an equal probability of occurring. Specifically, the probability (P) of any one number, such as a 2 or a 3, is 1/6 since it is a fair die. When considering sequential rolls, we have to calculate the probability of each event happening one after another, which involves multiplying the probabilities of the individual events.
P(2, then 2) = P(2) * P(2) = (1/6) * (1/6) = 1/36.P(3, then 5) = P(3) * P(5) = (1/6) * (1/6) = 1/36.P(4, then odd) involves the probability of rolling a 4 first, and then an odd number, which could be a 1, 3, or 5. The probability for each odd number is 1/6, and since there are three odd numbers, the combined probability of rolling an odd number is 3/6 or 1/2. Therefore, P(4, then odd) = P(4) * P(odd) = (1/6) * (1/2) = 1/12.Thus, to find the probability of rolling specific numbers or combinations on a number cube, you can calculate each probability separately and then combine them as needed using multiplication.
Gabriella’s quiz grades are shown below. Which is the outlier?
88, 92, 92, 96, 98, 20.
Answer:
20
Step-by-step explanation:
At 3 am the temperature was -4°C by midday the temperature had gone up by 11°C from Midday to midnight the temperature went down by 9°C work out the temperature by midnight?
Answer:
-2º
Step-by-step explanation:
First you add 11 to -4 which is +7and the yousubtract 9 equal to -2
Step-by-step explanation:
Temperature at 3 am = -4°C
Temperature at midday = up 11°C
= -4°C + 11°C
= 7°C
Temperature at midnight = down 9°C
= 7°C - 9°C
= -2°C
So, the temperature at midnight is -2°C
Hope it helpful and useful :)
Help Please geometry Question
WILL GIVE BRAINLEIST : A party hat is in the shape of a cone. What is the volume of the hat in cubic centimeters?
what does
1/2 and 2/8 =
[tex]\frac{1}{2} + \frac{2}{8} = \frac{1 * 4}{2 * 4} + \frac{2}{8} = \frac{4}{8} + \frac{2}{8} = \frac{6}{8} = \frac{3}{4}[/tex]
Write the next two numbers in the sequence: 1, 3, 6, 10, 15...*
Answer:
21,28
Step-by-step explanation:
3-1=2 2+1=3
6-3=3 3+3=6
10-6=4 4+6=10
15-10=5 5+10=15
6+15=21
7+21=28
If a cone with a diameter of 10 m has a surface area of 190.6m2, find its slant height. Round to the nearest tenth.
Slant Height = m
Answer: The slant height of the cone is 65.6 m
Step-by-step explanation:
Given: The diameter of a cone = 10 m
Surface area of cone = 190.6 m²
To find: Slant height
Diameter of cone = 10 m
Therefore Radius of cone = [tex]\dfrac{\text {Diameter }}{2} = \dfrac{10}{2} =5m[/tex]
As we know that surface area of a cone is given by
[tex]S.A. = \pi r(l+r)[/tex]
Where S.A. is surface area , r is the radius of cone and l is the slant height of the cone.
Let Slant height = l
So we have
[tex]190.6 = \dfrac{22}{7} \times 5 ( 5+l)\\\\\Rightarrow 5+l= \dfrac{190.6 \times 7}{22}\\\\\Rightarrow l= \dfrac{1334.2}{22}+5\approx 60.64+5 = 65.64\approx65.6[/tex]
Hence the slant height of the cone is 65.6 m
A city counsel is trying to decide to levy an additional gas tax to help with city improvements. A random sample of
400 voters in the city are asked if they favor an additional 4% gasoline sales tax to provide badly needed revenues for
street repairs. The counsel has decided it will implement the tax if at least 60% of the voters favor the tax. The
survey finds 220 out of the 400 favor the tax. Should the counsel proceed?
Answer:
No
Step-by-step explanation:
220/400=?/?
divide 220 and 400 by 4
220/400=55/100
55<60
hope this helps ;)
A business owner noted the features of the 100 cars parked at the business. Here are the results:
Sunroof
11
12
1820
14
6
25
2 doors
4 doors
Given that a randomly selected car has a sunroof, find the probability the car has 4 doors.
P (4 doors | sunroof) =
Answer:
The probability of a selected car being a 4 door car, given that the car has a sunroof = 0.40
Step-by-step explanation:
The complete question is presented in the attached image.
The conditional probability, of event A happening, given that event B has happened, P(A|B), is given mathematically as
P(A|B) = P(A n B) ÷ P(B)
So, the required probability of a selected car being a 4 door car, given that the car has a sunroof is given as
P (4 doors | sunroof)
= P (4 doors n sunroof) ÷ P(sunroof)
Note that the probability of an event is given as the number of elements in that event divided by the Total number of events.
P (4 doors n sunroof)
= n (4 doors n sunroof) ÷ n (total)
From the Venn Diagram in the attached image,
n (4 doors n sunroof) = 20 + 0 = 20
n (total) = 100
P (4 doors n sunroof) = (20/100) = 0.20
P(sunroof) = n(sunroof) ÷ n(total)
n(sunroof) = 12 + 18 + 20 + 0 = 50
n(total) = 100
P(sunroof) = (50/100) = 0.50
P (4 doors | sunroof)
= P (4 doors n sunroof) ÷ P(sunroof)
= (0.20/0.50) = 0.40
Hope this Helps!!!
To find the probability of a car having 4 doors given that it has a sunroof, we use conditional probability. The probability can be found by dividing the number of cars with both a sunroof and 4 doors by the total number of cars with a sunroof. In this case, the probability is 6/11.
Explanation:To find the probability of a car having 4 doors given that it has a sunroof, we need to use the conditional probability formula, which is:
P(4 doors | sunroof) = P(4 doors and sunroof) / P(sunroof)
In this case, we know that 11 cars have a sunroof, 6 cars have 4 doors, and a total of 100 cars are parked at the business. Therefore:
P(4 doors and sunroof) = 6/100
P(sunroof) = 11/100
Substituting these values into the conditional probability formula, we get:
P(4 doors | sunroof) = (6/100) / (11/100)
Simplifying the expression gives us:
P(4 doors | sunroof) = 6/11
Therefore, the probability that a randomly selected car with a sunroof has 4 doors is 6/11.
This is a easy question and easy points. Focus on question 5.
Answer:
a) 84 cm3
b) 14,080 cm3
c) 1392.49 cm3
Step-by-step explanation:
Answer:
81cm. 54 times 1.5 = 81.
Two triangular pyramids are similar the volume of the large pyramids is 729cm and the volume of the smaller pyramids is 64 cm . If the perimeter of the base of the similar pyramids is 8 cm what is the perimeter of the base of the larger pyramids
Answer:
18 cm for larger base
Step-by-step explanation:
For similar figures, there is a formula regarding volume, area, and length
Large: small = y: x for length
large: small = (y^3) / (x^3) for volume
729 cm cube/ 64 cm cube = large : small
9: 4 = large: small by length
large/ 8cm = 9/ 4
large = 8*(9/4) = 2*9 = 18 cm
anyone down to help?
Answer:
s = 10w
Step-by-step explanation:
First we need to find the slope
Since the point goes through (0,0), the slope is y/x
Using the point (1,10)
10/1 = 10
The equation is
y = mx+b
The slope is m and the y intercept is b
The slope is 10 and the b intercept is 0
y = 10x
Changing to the variables on the graph
s = 10w
What is the output when the input is 4 for the algebraic rule: 5x-6
Answer:
The output is 14
Step-by-step explanation:
y = 5x-6
Let x = 4
y = 5(4) -6
y = 20-6
y = 14
Each week, Kathy receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P = 108 - 23d, where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?
A.) Kathy starts each week with 108 phones to fix.
B.) Kathy repairs phones at a rate of 108 per hour.
C.) Kathy repairs phones at a rate of 108 per day.
Ben collected data from a group of 12 people. He measured each persons resting heart rate and recorded the average number of hours each person exercised per week. He created a scatter plot to show the data he collected. Based on the scatter plot, what is the best prediction of the resting heart rate, in beats per minute, of a person who exercises an average of 8 hours each week?
To predict the resting heart rate of a person who exercises 8 hours per week, you can find the corresponding point on the scatter plot that represents 8 hours of exercise and read off the corresponding resting heart rate value.
Explanation:A scatter plot is used to show the relationship between two sets of data. In this case, Ben collected data on the resting heart rate and average hours of exercise per week for 12 people. Based on the scatter plot, we can make a prediction of the resting heart rate for a person who exercises an average of 8 hours per week. To do this, we can find the point on the scatter plot that corresponds to an average of 8 hours of exercise per week and then determine the corresponding resting heart rate.
Let's find the point on the scatter plot that represents an average of 8 hours of exercise per week.
Find the x-coordinate of the point on the scatter plot that corresponds to 8 hours of exercise per week (horizontal axis).From the x-coordinate, find the corresponding y-coordinate (vertical axis), which represents the resting heart rate.Once you have the corresponding point, you can read off the resting heart rate value in beats per minute.
How many solutions does the system have?2x+3y=-6 6x-4y=-12
Answer:
One solution, which is below
Step-by-step explanation:
2x+3y=-6
6x-4y=-12
Multiply the top equation by 3 to get 6x+9y=-18.
Subtract second equation from first:
13y=-6
y=-6/13
x=-30/13
There is only one solution to this system. Hope this helps!
A 16,000 ft
B 8000 ft
C 4000 ft
D 150 ft
Answer:
A
Step-by-step explanation:
If all of the dimensions of the tank are doubled, since we live in three dimensions, the volume of the new tank will be [tex]2^3=8[/tex] times as large. [tex]8\cdot 2000=16000[/tex] feet, or answer choice A. Hope this helps!
Answer:
A 16,000 ft³
Step-by-step explanation:
Let's say the dimensions were 2, 10, and 100 now if you double those, it becomes 4, 20, 200 which equals 16,000.
Now let's say the dimensions were 2, 4, 250 double the dimensions again and it becomes 4, 8, 500 which equals 16,000.
So no matter what the dimensions are, the volume will be 16,000.
Help plz what is the answer to this question?
Answer
c) (-3/4)pi
Step-by-step explanation:
radians = degrees*(pi/180)
radians = (-135)*(pi/180)
radians = (-135(pi))/180
Simplify to (-3(pi)/4) or (-3/4)pi
Hope this helped!
Your uncle has a sculpture displayed on
a display stand. The display stand is a
cylinder. The radius of the display stand
is 8.7 centimeters and the height of the
display stand is 27.8 centimeters. What is
the volume of the display stand?
Answer:
2104.182 * pi
or
6610.13148
Step-by-step explanation:
formula for volume of a cylinder:
pi * r^2 * H
you know the radius and height, so you can substitute those:
pi * 8.7^2 * 27.8
calculate that:
pi * 75.69 * 27.8
2104.182 * pi
or
6610.13148
Apologies in advance if I explain things badly or get the wrong answer. :/
Final answer:
The volume of the display stand, which is a cylinder with a radius of 8.7 cm and a height of 27.8 cm, is approximately 6612.105 cubic centimeters.
Explanation:
To calculate the volume of the cylinder that is being used as a display stand, we will use the formula for the volume of a cylinder, which is V = πr²h. Here, 'V' stands for volume, 'r' is the radius of the cylinder's base, 'h' is its height, and π (pi) is a constant, which we can approximate to 3.14159.
Given:
Radius (r) = 8.7 centimetersHeight (h) = 27.8 centimetersNow, let's substitute these values into our formula:
V = π(8.7 cm)²(27.8 cm)
V = 3.14159 × (75.69 cm²) × 27.8 cm
V = 3.14159 × 2105.782 cm²
V = 6612.105 cm³ (rounded to three decimal places)
Therefore, the volume of the display stand is approximately 6612.105 cubic centimeters (cm³).
A cable company wants to find out the average number of hours its customers spend watching cable television. Which group would best represent a sample of the population?
the first 100 people who pass by the company’s office door one week
100 of the company's customers who canceled their subscriptions last year
100 people who are customers of other cable companies
100 of the company's customers chosen from the monthly billing list
Answer:
D. 100 of the company's customers chosen from the monthly billing list
Step-by-step explanation:
Henry can build 2 birdhouses in 30 minutes how many birdhouse can he builds in four hours
Answer:
16 birdhouses
Step-by-step explanation:
2 birdhouses = 30 minutes
multiply by 2
4 birdhouses =60 minutes = 1 hour
Multiply by 4
16 birdhouses = 4 hours
Answer: 16.
Step-by-step explanation:
There is 60 minutes in 1 hour, multiply 60 by 4 then divide it by 30. Then multiply by 2.
Find the value of x
X = 8
X = 10
X = 16
X = 20
Answer:
x = 10
Step-by-step explanation:
if you go off of the other line that equals 10, its about the same length, so 10 is my estimate
hope this helps :)
Answer:
x = 20
Step-by-step explanation:
edge 2020 2021
emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. what is the ratio of blue balloons to the total number of balloons
Emily bought 14 balloons in total, with 7 balloons being blue. The ratio of blue balloons to total balloons is 1:2.
Explanation:In this numerical problem, Emily bought a total of 14 balloons. Among them, 3 are red and 4 are white. To find out how many balls are blue, subtract the number of red and white balloons from the total which is 14 - 3 - 4 = 7. Therefore, Emily has 7 blue balloons.
The ratio of blue balloons to the total number of balloons can be calculated by dividing the number of blue balloons by the total number of balloons: 7/14. This results in a ratio of 1:2. This means, for every one blue balloon, there are two total balloons.
Learn more about Ratio here:https://brainly.com/question/32531170
#SPJ12
Final answer:
Explaining the ratio of blue balloons out of the total in the scenario where Emily buys balloons.
Explanation:
The ratio of blue balloons to the total number of balloons is 7:14 or 1:2.
To calculate this ratio, you add the number of blue balloons (7) to the total number of balloons (14), resulting in a ratio of 7:14, which simplifies to 1:2.