Answer:
The number of standard deviation above the mean is [tex] z_o = 1.4607 [/tex]
Step-by-step explanation:
From the question we are told that
The mean weight of ears of corn from each farm is [tex]\mu=1.26[/tex]
The standard deviation of ears of corn from Iowa is [tex]\sigma_1[/tex]
The standard deviation of ears of corn from Ohio is
[tex] \sigma_2= 0.01 + \sigma_1 [/tex]
The weight of a random selected ear of corn from Iowa is x = 1.39 pound
The standardized score is z =1.645
The weight of a random selected ear of corn from Ohio is [tex]x_1 = 1.39\ pound[/tex]
Generally the standardized score of weight of corn from Iowa is mathematically represented as
[tex]z = \frac{ 1.39 - 1.26 }{\sigma_1 }[/tex]
=> [tex] 1.645 = \frac{ 1.39 - 1.26 }{\sigma_1 }[/tex]
=> [tex] \sigma_1 = \frac{ 1.39 - 1.26 }{ 1.64 5}[/tex]
=> [tex] \sigma_1 = 0.0790 [/tex]
Generally the standardized score of weight of corn from Ohio is mathematically represented as
[tex]z_o = \frac{ 1.39 - 1.26 }{\sigma_2 }[/tex]
=> [tex] z_o= \frac{ 1.39 - 1.26 }{0.01 + \sigma_1 }[/tex]
=> [tex] z_o = \frac{ 1.39 - 1.26 }{ 0.089}[/tex]
=> [tex] z_o = 1.4607 [/tex]
Because the value is positive it means that this value represent the number of standard deviation above the mean.
Using the normal distribution, it is found that the weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For the Iowa farm:
The mean is of 1.26 pounds, hence [tex]\mu = 1.26[/tex].The weight is of 1.39 pounds, hence [tex]X = 1.39[/tex]The standardized score is of 1.645, hence [tex]Z = 1.645[/tex].Then, the standard deviation can be found as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{1.39 - 1.26}{\sigma}[/tex]
[tex]1.645\sigma = 0.13[/tex]
[tex]\sigma = \frac{0.13}{1.645}[/tex]
[tex]\sigma = 0.079[/tex]
In Ohio:
Same mean.Standard deviation 0.01 pound greater, hence [tex]\sigma = 0.079 + 0.01 = 0.089[/tex]Same weight.Hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.39 - 1.26}{0.089}[/tex]
[tex]Z = 1.46[/tex]
The weight with respect to the Ohio distribution is 1.46 standard deviations from the mean.
To learn more about the normal distribution, you can check https://brainly.com/question/24663213
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Answer:
The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Step-by-step explanation:
Let X represent the LDL levels.
It is provided that [tex]X\sim N(123, 41^{2})[/tex].
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]
[tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Please help please
Answer:
1.) supplementary m<1+m<2=180 and m<2+m<3=180
2.) congruent, supplementary
Step-by-step explanation:
the answers are in this order above
A train travelled a distance of 1350 kilometers in 15 hours find it,s average speed answer pleaseeeeeeeee fast ,thanks
Answer:
90
Step-by-step explanation:
1350 divided by 15
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
try 77
Step-by-step explanation:
Which of the following have a value equal to |37|? Select all that apply.
A. –37
B. |–37|
C. 0
D. –(–37)
E. 37
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
f(x) = (2x² – 3)^(-2a? – 9)11
Answer:
-44ax^2-198x^2+66a+297
Step-by-step explanation:
there
Jordan says that 6 ÷ 1/2 =3. Is he correct
Answer:
No it is 12
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 ÷ 1/2 = 12
(1/2 = 0.5)
6 ÷ 0.5 = 12
Check you answer.
0.5 x 12 = 6
So Jordan is incorrect.
The correct answer is 12
Hope this helped :)
Please consider Brainliest :)
Which of the following equations is equivalent to 30 = 2 ( -2x + 6
Answer:
30=-4x+12
Step-by-step explanation:
they both equal -9/2
discrimination from teachers to students
Answer:
agree
Step-by-step explanation:
A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?
Answer:
30b+10v
Step-by-step explanation:
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
Two feet is what percent of one yard?
Answer:
Step-by-step explanation:
there are three feet in one yard
if you have 2 feet that is 2/3 of a yard
2/3 x 100 = 66.67% or 66.6666666666% repeated if you dont want it rounded.
Answer:
About 66.67%
Step-by-step explanation:
Since 1 yard is 3 ft. we can say 3 ft. is 100%
By this statement we can also say that 1 ft. is about 33.34%
This means that 2 ft. is 66.67%
Hope this Helps!!! :)
Let me know if I should change anything or if it was perfect!
Please help!
Are the expressions –0.5(3x + 5) and
–1.5x + 2.5 equivalent? Explain why or why not.
Answer:
We can check this two ways: distributing the -0.5, and plugging in a number for x.
First, we can check this by distributing the -0.5. Our equation becomes:
-1.5x -2.5 = -1.5x + 2.5
Clearly, this is not true. We can show this one more time by plugging in a number for x. I will use 2.
Now, we evaluate both sides and see if they are equal.
-3 - 2.5 = -3 + 2.5
-5.5 = 0.5
Clearly, this is not true. These expressions are not equivalent.
Step-by-step explanation:
Answer:
Step-by-step explanation: Using the distributive property to expand the first expression, you would get -1.5x - 2.5. Since the constant term does not have the same sign as the second expression, the two expressions are not equivalent. Also, if you substitute in a value for x and evaluate each expression, the values will not be equal.
What is the answer to this rebus
Answer:
rank
Step-by-step explanation:
mathematics help me tx6d6x66ds7cv7f7f77f ui fudidificd 7dyfllxu cub I Jim burgundy gehrig giving
Answer:
help u with what u didnt attach anything
Step-by-step explanation:
P1=(-1,3) and P2=(5,-1)
Find the distance from p1 to P2
Answer:
7.21
Step-by-step explanation:
Given that:
P1=(-1,3) and P2=(5,-1)
Distance between two points :
d = Sqrt[(x2 - x1)² + (y2 - y1)²]
x1 = - 1 ; y1 = 3
x2 = 5 ; y2 = - 1
d = Sqrt[(5 - (-1))² + ((-1) - 3)²]
d = Sqrt[(5 + 1)² + (-1 - 3)²]
d = sqrt[(6)^2 + (-4)^2]
d = sqrt(36 + 16)
d = sqrt(52)
d = 7.21
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25
...................................
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
question 6 i mark as brainliest
last awnser is the awnser
Answer:
the product of the sum is 5 39/40
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
Answer:
Step-by-step explanation:
Mean is the ratio of sum of the dataset to the sample size. Mathematically:
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Xi are the individual periods
N is the sample size
[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]
N = 10
Substitute
[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]
hence the mean of the samples is 1.292
For the standard deviation:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]
[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]
Substitute into the formula:
[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]
Hence the standard deviation is 0.2098
PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
2 x intercepts
Step-by-step explanation:
math go brrr
Answer: the asnwer is three
Step-by-step explanation: well theres your answer
At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5
Answer:
a
Step-by-step explanation:
because there are over half girls and half of 120 is 60 and 75 is over half
I want the answer of this question
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
What is the solution to the following question 2^ -3x+2=0
Answer: x= −16
Step-by-step explanation:
How much dirt is in a hole that is 36 inches long, 2 yards wide , and 6 feet deep ?
Answer:
96 feet cubed
Step-by-step explanation:
I think it's right. 36 inches to feet, 2 yards to feet, 6 feet
3*6*6
96 I think
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Answer:
24
Step-by-step explanation:
Answer:
R is D
Step-by-step explanation:
Mathematical Expression:
R=D divided by T
For Y=R substitute R with RT:
R=D
Write an equation in slope intercept form that passes through the point (3,9) and has a slope of -5
Group of answer choices
1.y = -5x - 24
2.y = 5x + 6
3.y = 5x - 6
4.y = -5x + 24
Answer:
The answer is y = -5x + 24Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have
[tex]y - 9 = - 5(x - 3) \\ y - 9 = - 5x + 15 \\ y = - 5x + 15 + 9[/tex]
We have the final answer as
y = - 5x + 24Hope this helps you
