The diameter of an orange at the 67th percentile will be 0.132 inches above the mean diameter. Thus, the correct option is A) 0.132 inches above the mean.
Given data:
The distribution of the diameters of a particular variety of oranges is approximately normal with a standard deviation of 0.3 inch.
The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Formula used:
z-score = (x-μ) / σ
At the 67th percentile, the z-score will be 0.44.
To find the diameter of an orange at the 67th percentile, we will use the formula of the z-score.
z-score = (x-μ) / σ
0.44 = (x-μ) / 0.3
0.132 = x - μ
x = 0.132 + μ
for such more question on diameter
https://brainly.com/question/28162977
#SPJ11
Notecards: a) one pack of 100 for $5.33 or b) one pack of 300 for $14.84.
The second pack of 300 for $14.84 is better because it has lower cost per notecard of $0.0495 compared to the first one whose cost per notecard is a bit higher
What can be used to differentiate the two packs?
The distinguishing factor between the two packs can be determined by first of all computing the price per unit, which is total cost of the pack divided by the number of notecards in the pack
one pack of 100 for $5.33:
cost per notecard=$5.33/100
cost per notecard=$0.0533
one pack of 300 for $14.84:
Cost per notecard=$14.84/300
Cost per notecard=$0.0495
The second pack of 300 for $14.84 is better because it has lower cost per notecard of $0.0495 compared to the first one whose cost per notecard is a bit higher
Find out more about cost per unit on:https://brainly.com/question/205480
#SPJ1
Full question:
Note cards sell one pack of 100 for $5.33 or one pack of 300 for $14.84. Which is the better buy? Why?
In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.
Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 - B - C. Therefore,
angle A = 180 - 11 - 75 so
angle A = 94. And the Law of Sines is
\(\frac{sin94}{a}=\frac{sin11}{600}\) and cross multiply to get
600sin94 = asin11 and solve for a:
\(a=\frac{600sin94}{sin11}\) gives you that
a = 3136.85
easy ratio questions !! - giving brainly if correct and both questions are answered :) question in the file ^
Answer:
3 blue 9 orange
Step-by-step explanation:
The third option.
4y + 3x = -6 3y - 3x = -15 solve system of equations
The solution to the system of equations: 4y + 3x = -6 3y - 3x = -15 is (x, y) = (2, -3).
A group of equations that must be solved collectively is referred to as a system of equations. The collection of variable values that satisfy each of the equations in a system of equations is known as the solution.
We can solve this system of equations by using the method of elimination:
4y + 3x = -6 (equation 1)
3y - 3x = -15 (equation 2)
We can eliminate x by adding equations 1 and 2:
4y + 3x + 3y - 3x = -6 - 15
Simplifying, we get:
7y = -21
Dividing both sides by 7, we get:
y = -3
Substituting this value for y into equation 1, we get:
4(-3) + 3x = -6
Simplifying and solving for x, we get:
-12 + 3x = -6
⇒ 3x = 6
⇒ x = 2
To know more about method of elimination
brainly.com/question/14619835
#SPJ4
I NEED HELP ASAP PLS HURRY
Answer: C
Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.
A car salesman sold two cars worth a total of $67,500. He was paid a commission of $2,025. What percent was this?
Answer choices are 1%, 2%,3%,4%
Answer:
3%
Step-by-step explanation:
1 percent of 67,500 is 675
2 percent of 67,500 is 1,350
3 percent of 67,500 is 2,025
4 percent of 67,500 is 2,700
what did u get on the one above that
Two buildings have the same total height. One building
has 6 floors each with height, h. The other building
Mhas
a ground floor of 36 ft. and 3 other floors each with
height h. Write and solve an equation to find the height
hof each floors.
Answer:
6h = 36ft + 3h
The height h of each floor is 12ft
Step-by-step explanation:
From the question,
The two buildings have the same total height.
Let the total height of each building be H, that is
H (for one building) = H (for the other building)
Also,
For one building, there are 6 floors each with height h, that is
H = 6h
For the other building, there is a ground floor of 36 ft and 3 other floors each with height h, that is
H = 36ft + 3h
To find the height h of each floors,
Since the two buildings have the same total height, we can write that
H (for one building) = H (for the other building),
Then,
6h = 36ft + 3h
This is an equation that could be used to find height h.
To solve for h,
6h = 36ft + 3h
Then,
6h - 3h = 36ft
3h = 36ft
h = 36ft / 3
h = 12ft
Hence, the height h of each floor is 12ft
A carpenter makes bookcases in 2 sizes, large and small. It takes 4 hours to make a
large bookcase and 2 hours to make a small one. The profit on a large bookcase is
$35 and on a small bookcase is $20. The carpenter can spend only 32 hours per
week making bookcases and must make at least 2 of the large and at least 4 of the
small each week. How many small and large bookcases should the carpenter make
to maximize his profit? What is his profit?
Answer:
6 large and 4 small
Step-by-step explanation:
6 times 4 =242 time 4= 832 hoursJulianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.
Given
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)To find:
The average speed of Julian.
Explanation:
It is given that,
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)That implies,
\(\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}\)Therefore,
\(\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}\)Hence, the average speed of Jean is 11 km/h.
One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How long would it take the faster maid cleaning alone
5 hours long would it take the faster maid cleaning alone.
What is a linear equation in math?
A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.Suppose, time taken by faster maid be x , hours.
So, time taken by slower maid ,
\(x_{2} = 4x_{1}\) ( 4 time faster maid )
Now, time taken by both of the made together is given by ,
\(( \frac{x_{1}x_{2} }{x_{1} + x_{2} } )\)
\(\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} } = 4 hours\)
\(\frac{4x_{1} }{5} = 4 hours\)
\(x_{1} = 5 hours\) which is the time required by faster maid.
Learn more about linear equation
brainly.com/question/12974594
#SPJ4
if a store is offering 20% discount on all items. is there a proportional relationship between the original price of an item and its price after the discount
Answer:
A store is offering a 14% discount on all items. Write an equation relating the sale price S for an item to its list price L.
Step-by-step explanation:
-2r+3s
r=-8.2 s=-3.7
Answer:
5.3
Step-by-step explanation:
-2r+3s
Let r=-8.2 s=-3.7
-2(-8.2) +3(-3.7)
16.4-11.1
5.3
Answer:
5.3
Step-by-step explanation:
Substitute the variables.
-2(-8.2) + 3(-3.7) = 5.3
A cylinder and sphere have the same height. If the sphere has a volume of 361 cubic units, what is the height of the cylinder?
Answer:
Sa = 36 circumference per meter square
Answer:
The height is 8.83 units
Step-by-step explanation:
Recall that \(V_{sphere}=\frac{4}{3}\pi r^3\). Since the height of a sphere is just twice the radius, then we need to solve for r and multiply by 2 to get the height of the cylinder:
\(V_{sphere}=\frac{4}{3}\pi r^3\)
\(361=\frac{4}{3}\pi r^3\)
\(1083=4\pi r^3\)
\(\frac{1083}{4\pi}=r^3\)
\(\sqrt[3]{\frac{1083}{4\pi}}=r\)
\(h=2r\)
\(h=2\sqrt[3]{\frac{1083}{4\pi}}\)
\(h\approx8.83\)
Joshua is designing a rectangular mirror. He let w = the width, in inches, of the mirror. The length of the mirror will be 6 inches more than the width. The perimeter of the mirror will be less than 96 inches and greater than 76 inches. Which of the following inequalities shows the possible widths, in inches, of the mirror?
Answer:
16 < w < 21
Step-by-step explanation:
Given that :
Width if mirror = w
Length of mirror = l
L = 6 + w
Perimeter of mirror < 96 and > 76
Possible width of the mirror
Perimeter of a rectangle :
2(l + w)
2(6 + w + w)
= 2(6 + 2w)
= 12 + 4w
Hence,
76 < perimeter < 96
76 < 12 + 4w < 96
76 - 12 < 4w < 96 - 12
64 < 4w < 84
16 < w < 21
Six bags of flour and six bags of sugar weigh 50 pounds. Eight bags of flour weighs 50 pounds. All bags of flour weigh the same, and all bags of sugar weigh the same. What is the ratio of the weight of a bag of flour to a bag of sugar?
The ratio of a bag of flour to a bag of sugar is 3:1
What is ratio?A ratio can be defined as the relationship or comparison between two entity of the same unit.
Represent a bag of flour = x
a bag of sugar= y
6 bags of flour plus 6 bags of sugar is 50pounds
6x+6y= 50
8 bags of flour is also 50 pounds
8x= 50
Therefore a bag of flour is
x= 50/8
from 6x+6y= 50
6y= 2x
y= 2×50/48
y= 50/24
x:y=50/8:50/24
multiply the two ratios by 24
x:y= 150:50
x:y= 3:1
The ratio of flour to sugar is 3:1
learn more about ratios from
https://brainly.com/question/2328454
#SPJ1
the scores on a standardized test are normally distributed with a mean of 100 and standard deviation of 5. what test score is 1.4 standard deviations
A test score that is 1.4 standard deviations above the mean is 107. This means that a student who scored 107 on this standardized test would be above average, as the mean is 100 and the standard deviation is 5.
To find the test score that is 1.4 standard deviations above the mean, we need to use the formula:
z = (x - μ) / σ
where z is the number of standard deviations from the mean, x is the test score, μ is the mean, and σ is the standard deviation.
In this case, we know that z = 1.4, μ = 100, and σ = 5. So we can rearrange the formula to solve for x:
x = z * σ + μ
Substituting the values we know, we get:
x = 1.4 * 5 + 100 = 107
Therefore, a test score that is 1.4 standard deviations above the mean is 107. This means that a student who scored 107 on this standardized test would be above average, as the mean is 100 and the standard deviation is 5.
Learn more about standard deviations :
https://brainly.com/question/23907081
#SPJ4
Answers?……………………………………………………………………
Answer:
a) y increases by 5
b) y increases by 3 times 5
c) y increases by 2 times 5 with addition of digit 1 in the answer
Step-by-step explanation:
the sum of y and the difference of 9 and j
as an expression
Answer: I think it would be Y+(9-j)
Which of the following is not a type of effectiveness MIS metric?
Customer satisfaction
Conversion rates
Financial
Response time
"Financial" as it is not an effectiveness MIS metric.
To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.
Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.
Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.
Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.
Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.
Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.
In summary, the answer is "Financial" as it is not an effectiveness MIS metric.
Know more about Financial metrics here,
https://brainly.com/question/32818898
#SPJ11
Help please quick. I need answers quick.
Answer:
Slope is 1/2
Step-by-step explanation:
1/2 is a fraction not a integer.
For every change of 1 y there is a change of 2 x
Toasty Hands is a manufacturer of battery-powered heated gloves. Its top of the line model currently sells for $279, and it expects sales of 440,000 pairs in the next year. Its estimate of the demand for gloves suggests that if it cuts the price to $239 it could sell 540,000 pairs. What is the absolute value of the elasticity coefficient for Toasty Hands' gloves? Round your answer to two decimals. 1st attempt
The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.
The elasticity coefficient is calculated as follows:
Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)
In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.
Plugging these values into the formula, we get:
Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23
The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.
Here is a more detailed explanation of the calculation:
The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.
The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.
The original price is $279, and the original demand is 440,000 pairs.
Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.
Learn more about coefficient here: brainly.com/question/1594145
#SPJ11
If the total weight of 11 identical articles is 88 kg, how many articles of the same type
would weigh 224 kg?
Answer:
28
Step-by-step explanation:
88/11 is 8.
Since it's the same ratio we'll do 224/8
224/8 is 28.
I hope I can help!!
classify the following graph as a cross-sectional study or a time-series study.
The terms "cross-sectional study" and "time-series study" refer to different types of research designs. A cross-sectional study collects data from a population at a specific point in time, whereas a time-series study collects data from the same population over an extended period.
Based on this definition, it is difficult to classify a graph as either a cross-sectional or time-series study without additional context.
A graph alone does not provide enough information about the research design. It would be best to refer to the accompanying study or research report to determine the type of study represented by the graph.
Therefore, the long answer to your question is that a graph cannot be classified as a cross-sectional or time-series study without further information about the research design.
Know more about the cross-sectional study here:
https://brainly.com/question/30552943
#SPJ11
PLEASE ANSWER!!!!! ASAP
Answer:
10÷4
Step-by-step explanation:
you first add 1+2+3+4
then you divide by the numbers you have.
(NEED ANSWER TODAY!) The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally.What is the new surface area?Enter your answer as a decimal in the box.
ANSWER: 202.46 if you need all the question answers just ask :D
Find the 60th term of the arithmetic sequence 4, -1, -6, ...
Answer:
\(-291\)
Step-by-step explanation:
From the three terms, we can conclude that the arithmetic sequence for this sequence is \(a_{n}=4+(n-1)(-5)\).
\(a_{60}=4+(60-1)(-5)\)
\(=-291\)
∴ The 60th term of the arithmetic sequence is \(-291\).
Hope this helps :)
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
To know more about Hypothesis here.
https://brainly.com/question/29576929
#SPJ4
The Law of Conservation of Mass states:
Question 10 options:
mass can be created but not destroyed
mass can't be created but can be destroyed
mass can't be created or destroyed
mass can be created and destroyed
please help me
Answer:
matter cannot be created or destroyed
Step-by-step explanation:
just read about this in my engineering homework
Which expression is equivalent to
(x + yi)(x − xyi - y), where i is
the imaginary unit?
Answer:
Step-by-step explanation: