Answer:
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.
This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]
Sample of 36:
This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]
Find the probability that they have a mean height greater than 72.3 inches.
This is 1 subtracted by the pvalue of Z when X = 72.3. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]
[tex]Z = 2.86[/tex]
[tex]Z = 2.86[/tex] has a pvalue of 0.9979
1 - 0.9979 = 0.0021
0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.
how do nurses utilize a quadratic equation and example
Answer:
Nurses use the quadratic equation for calculating the dosage of the patients, calculating drip rates, conversion between the systems, drug titration, and more.
Step-by-step explanation:
Nurses with an order to "give 750 mg every 4 hours as needed for pain" may receive 250 mg tablets from the pharmacy, requiring them to calculate the number of pills to administer. They also need to calculate the amount of medicine to give when drawing up liquid medicine for injection. In order to give 7.5 mg must be compared to the vial, which states, "5 mg per cc." Some medication orders require the nurse to calculate the dosage based on the patient's weight.
Quadratic equations are applicable in nursing particularly in the aspect of drug and dosage administration.
Dosage of drugs or other medications usually have units of measurement which are to be administered with respect to factors such as time and weight of the patient. Therefore, the required dosage which will be administered with respect to time and weight can be expressed as a quadratic function.A scenario whereby, a nurse is supposed to administer 20 mg of medication to 5 patients weighing 20 pounds above a certain weight. The stipulated weight can be calculated using a quadratic equation.Therefore, quadratic equations are applicable in nursing particularly in dosage administration.
Learn more :https://brainly.com/question/17177510?referrer=searchResults
Help me with the work please if you can
Answer:
D, 525
Step-by-step explanation:
1) Find what percent 45 is out of 150
45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%
2) Find 30% of 1,750
1,750 x 0.3 = 525
Answer= D
please help I will give brainlist!!
Answer:
Step-by-step explanation:
ax+d>o
that ax+d is greater than o
pls mark me branliest
Please help I’ll mark you brainliest
Answer:
The perimeter is 25.
Step-by-step explanation:
Darling, I'm not always accurate but I hope this helps you with math!
is this a function ? please help !
Answer:
Well it is a function because the way I’m looking at it is that the lines never overlap each other except for the X and y axis but those arent lines. The line is just straight and nothing else overlaps or courses it. So it Is a function.
First person to respond will be marked brainly
Answer:
1.) V=πr2h=π·6.52·16≈ 2123.71663, rounded= 2123.72
2.)V=πr2h=π·22·3≈37.69911, rounded= 37.80, or 37.8
3.) V=πr2h=π·12·3≈9.42478, rounded= 9.42
4.)70.69
5.)V=πr2h=π·3.82·3≈136.09379, rounded= 136.09
kathy walked 3/4 mile to piano lessons every day.How many miles does she walk in 4 days
Answer:
3 miles.
Step-by-step explanation:
Given that Kathy walks 3/4 mile every day.
[tex]\frac{3}{4}mile = 1 day[/tex]
Let's multiple it by 4.
[tex]\frac{3}{4} (4)[/tex]
Find common factor of both 4 to simplify, so of course 4.
[tex]\frac{3}{1} (1)[/tex]
Multiply across and the number should be 3! Hope that helped
Janice has final exams in Algebra 1 and Biology on Friday. She has up to 12 hours to study for the
exams and her mom said she must spend more time on Algebra (a) than Biology (b). Which of the
following constraints can be used to represent this situation?
Answer:
5555
Step-by-step explanation:
y = x + 9
3x + 8y = -5
PLEASE SHOW WORK!!!
Due TODAY!!!!!
Answer:
x=-45/11
y=10/11
Step-by-step explanation:
y = x + 9 eq 1
3x + 8y = -5 eq 2
Re arranging eq 1
x-y=-9
Now multiply eq 1 with 8
8x-8y=-40 now call as eq 3
Add eq 2 and 3
3x+8y=-5
8x-8y=-40
11x=-45
x=-45/11
put value of x in eq 2 for y
3(-45/11)+8y=-5
-135/11+8y=-5
8y=-5+135/11
8y=(-55+135)/11
8y=80/11
y=(80/11)*(1/8)
y=10/11
Check
3*(-45/11)+8*(10/11)=-5
-135/11+80/11=-5
(-135+80)/11=-5
-55/11 =-5
-5=-5
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....
Answer:
D
Step-by-step explanation:
1/12 X 110 = .0833333333 x 110 = 9.16
D. 9
Step-by-step explanation:
110÷12 = 9.1 however just round down to 9
since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it
Is urgent please ,The purpose of an initial public offering (IPO) is to do what?
A. Break into a monopoly market
B. Comply with government regulations
C. Raise money
D. Get unlimited liability
SUBMIT
Answer:
C
Step-by-step explanation:
The primary objective of an IPO is to raise capital for a business. It can also come with other advantages. The company gets access to investment from the entire investing public to raise capital.
The purpose of an initial public offering (IPO) is to raise money. It could potentially have other benefits, hence option C is correct.
The corporation can raise money by accepting investments from the whole investing public. An IPO's main goal is to help businesses raise finance.
An initial public offering (IPO) is the process of selling new shares of a private company to the public. To hold an IPO, businesses must satisfy Securities and Exchange Commission (SEC) and exchange standards.
Company insiders may use an IPO to diversify their holdings or generate liquidity by selling all or a portion of their private shares as part of the public offering.
Learn more about IPO, here:
https://brainly.com/question/18898908
#SPJ2
21 and 22 are complementary angles. The measure of Z1 is 60°. The
measure of 22 is 5(x - 1)º. Find the value of x.
Answer:
The value of x is 7
Step-by-step explanation:
Complementary angles have a sum of 90°, therefore the equation to solve for x is:
∠1+∠2=90°
60°+5(x-1)°=90°
5(x-1)=30°
x-1=6
x=7
So the value of x is 7
In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?
Answer:
90 degrees and 80 degrees
HELPPPPP plssssssssss
do you even put attention in class or the teacher not showing shi but alright the answer is x=0
5
Which of the following is the result of expanding 22"-2,
n=1
O 8.5
O 15.5
O 32
60
Answer:
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^5_{n=1} {2^{n-2}[/tex]
Required
The result
To do this, we simply substitute 1 to 5 for n.
So, we have:
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{1-2} + 2^{2-2} + 2^{3-2} + 2^{4-2} + 2^{5-2}[/tex]
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{-1} + 2^{0} + 2^{1} + 2^{2} + 2^{3}[/tex]
Evaluate each exponent
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 0.5 + 1 + 2 + 4 +8[/tex]
[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]
Answer:
Answer is B edg2021
soknasoiegspeoigapoiegaoig
What is the surface area of the triangular prism?
A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.
[Not drawn to scale]
54 square feet
67.5 square feet
81 square feet
85.5 square feet
Answer:
The answer would be 81, or C
Step-by-step explanation:
youre welcome, have a great day :D!!
Answer:
81 or c
Step-by-step explanation:
Which is closest to the length of AB?
A. 3.5 in.
B. 2.9 in.
C. 2.4 in.
D 1.4 in
Answer:
gohdsyuufdyiikkjhfddyiooufddtuiokhfd
Help please look at the photo
The cost of g gallons of gasoline can be modeled by C(g) = 2.25g
How much would it cost to buy 12 gallons of gasoline?
Answer:
C(g) = 27
Step-by-step explanation:
2.25(12) = 27
You just plug in your g value and solve.
It would cost $27 to buy 12 gallons of gasoline. Substitute the value of g (number of gallons) into the cost function C(g).
In the cost function C(g) = 2.25g, the variable g represents the number of gallons of gasoline we want to buy. We want to find out the cost of buying 12 gallons, so we will replace g with 12 in the equation:
C(12) = 2.25 * 12
Perform the multiplication.
Now, we simply calculate the value of 2.25 * 12:
C(12) = 27
So, the result is 27. It means that it would cost $27 to buy 12 gallons of gasoline using the given cost function C(g) = 2.25g. The cost is calculated by multiplying the number of gallons (12) by the cost per gallon (2.25).
To know more about gasoline:
https://brainly.com/question/24270246
#SPJ2
Which system of equations is inconsistent?
Answer Choices Listed Below
Answer:
B
Step-by-step explanation:
just took the test
Jack has a bag of coins. The bag
contains 8 dimes, 4 nickels, 3
pennies, and 1 quarter. He will
randomly select 2 coins from the bag
at one time without replacement
What is the probability that Jack will
select 2 dimes?
a. 15/23
b. 7/30
c. 5/9
d. 1/2
Answer:
i think 1 half sorry if i am wrong
Step-by-step explanation:
the spinner is divided into 12 equal sectors. What is the possibility of not spinning a 2?
Answer:
11/12
Step-by-step explanation:
I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.
Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.
What’s the correct answer for this?
Answer:
6
Step-by-step explanation:
The numerator is the number of apples and the denominator the total number of fruit.
There are 6 apples, then numerator = 6
Answer:
if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...
●6/10
help pleaseeee , asap
Answer:
74
Step-by-step explanation:
1. Showing your knowledge in the problem
Well, you know that a straight line is 180 degrees, right? And you know that the angles are 52 degrees and 54 degrees. So, your equation would be set up like this: 52 + 54 + ____ = 180
2. What is 52 + 54?
106
3. Subtract 180 - 106
74
Hope that helps!
Answer:
180 - 52 - 54 = 74
x = 180 - 74 = 106°
A container is in a shape of a right circular cylinder standing on its base. If 100 cubic centimeters of water is poured into the container the height of the water is 8 centimeters. What is the height of the water if only 75 cubic centimeters is poured into the container?
A) 2.1 cm
B) 3.8 cm
C) 6.0 cm
D) 6.9 cm
E) 10.7 cm
And why???
Answer:
Step-by-step explanation:
The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.
¾ of 8 cm is 6 cm.
100 PTS help all information in pictures below
Answer:
Question 1: 11%
Question 2: 89%
Question 3: 43%
Question 4: 11%
Step-by-step explanation:
Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.
Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.
Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.
Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.
I hope this helps you! ^w^
Answer:
Question 1: 11% , Question 2: 89%, Question 3: 43%, Question 4: 11%.
Step-by-step explanation:
The First person's answer is correct. Have a great summer.
What is the area of the rectangle 3cm for width and 8cm for length
Answer:
3cm for width and 8cm for length the area for the rectangle is 24cm
Find the area of the figure.
Use a = 3.14
10 ft,
16 ft
8 ft
Answer: A = 132 . 93 cm 2
Step-by-step explanation:
A = lw
A = 8.7
A = 56cm2
A=2
A=(3.14)(7) 2
A 153 . 86 cm 2
76. 93 cm 2
A = 56cm 2 + 76.93 cm 2
A = 132 . 93 cm 2
Find the value of g(5) if g(x) = {-2x
Answer:
-10
Step-by-step explanation:
g(5) for g(x)= -2x
we put 5 to x
g(5) = -2.5
=-10
Which of the following is a true statement about ecology?
Ecology is the study of relationships of living organisms and their environment.
Ecology is the study how animals adapt to their environment.
Ecology studies how living organisms have changed over time.
Ecology studies the difference between living organisms.
Ecology is the study of relationships of living organisms and their environment
Step-by-step explanation:
Ecology in a simple sense is the the study of ecosystems