Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a standard deviation of 15. If 19 nurses are selected at random, find the probability that the mean weight is between 125 and 130 lbs

Answers

Answer 1
[tex][/tex]Given:
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
[tex]\bar{x}=\mu=135[/tex]

Estimate of sample standard deviation
[tex]\s=\sqrt{\frac{\sigma^2}{n}}[/tex]
[tex]=\sqrt{\frac{15^2}{19}}=3.44124[/tex]  to 5 decimal places.

Thus, using the normal probability table,
[tex]P(125<X<130)[/tex]
[tex]=P(\frac{125-135}{3.44124}<Z<\frac{130-135}{3.44124})[/tex]
[tex]=P(-2.90593<Z<-1.45297)[/tex]
[tex]=P(Z<-2.90593)=0.0018308[/tex]
[tex]=P(Z<-1.45297)=0.0731166[/tex]

Therefore 
The probability that the mean weight is between 125 and 130 lbs 
P(125<X<130)=0.0731166-0.0018308
=0.0712858




Related Questions

Convert 30 gallons to liters using an equivalent rate

Answers

113.62 liters is 30 gallons using equivalent rate
30 gallons is 113 liters

a collection of dimes and nickels is worth $8.40 there are 106 coins how many of each are there

Answers

There are 62 dimes and 44 nickels.

N + D = 106 (There are 106 coins in all.)
1 nickel = 5 cents.
1 dime = 10 cents.
5*N + 10*D = 840 ($8.40 = 840 cents)
N + D = 106 -------(1)
N = (106 - D)
5*N + 10*D = 840 ---------(2)
5*(106-D) + 10*D = 840
530 - 5*D + 10*D = 840
5*D = 840 - 530
5*D = 310
D = 310/5 = 62
Eq(1) N + D = 106
N + 62 = 106
N = 106 - 62
N = 44

Please help me with question 6

Answers

Your answer choices are cut off. Only A and B are showing. Both A and B are true, so they are not the answer. A is true because the midsegment is always half that of the parallel side. Choice B is true because of similar triangles leads to congruent corresponding angles which means the sides are parallel. 

The answer is either C or D. Choice C seems to show up but only partially. Choice D seems to be completely left out for some reason. Please repost with the answer choices.

Lalo has 1500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minutes? What is the interpretation?

Answers

1500 - 785 = 715 
number of minutes per month - number of minutes used = number of minutes left.

NEED HELP!!!!!!!!!!!!!!!!!!!!FAST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! kind like..........RIGHT
NOW!!!!!!!!!!!!!!!!!!!!!!!!!
The area of a circle is 113.04 in. 2. What is the radius of the circle? 36 inches 18 inches 12 inches 6 inches

Answers

the formula for the radius is

[tex] \sqrt{ \frac{a}{\pi} } [/tex]
so the answer would be 6 inches
the answer to this question would be 6 inches 

There is a spinner with 14 equal areas, numbered 1 through 14. If the spinner is spun one time, what is the probability that the result is a multiple of 5 or a multiple of 2?

Answers

The probability that a spinner with 14 equal areas lands on a multiple of 5 or a multiple of 2 is 4/7, after identifying the unique numbers from 1 to 14 that fit the criteria and dividing by the total number of possible outcomes.

The student is asking about the probability of an event occurring after spinning a spinner with 14 equal areas numbered 1 through 14. Specifically, the question seeks the probability that the result is either a multiple of 5 or a multiple of 2 when the spinner is spun once.

To solve this, first identify the multiples of 5 and 2 between 1 and 14: for 5, the multiples are 5 and 10; for 2, the multiples are 2, 4, 6, 8, 10, 12, and 14. Here, the number 10 is a multiple of both 5 and 2, so it should only be counted once. In total, there are 8 unique numbers that are multiples of 2 or 5 on the spinner. Since there are 14 possible outcomes, the probability is:

Probability = Number of favorable outcomes / Total number of outcomes = 8 / 14 = 4/7.

Thus, the probability that the spinner lands on a multiple of 5 or a multiple of 2 is 4/7.

Megan buys 3 bracelets and 3 necklaces. Each bracelet costs 5. Megan pays on 40 and gets 4 change. what is the cost of one necklace?

Answers

The necklaces cost $3 each

The difference between two numbers is 66. The sum of the two numbers is 88. Find the greatest number

Answers

It is going to be a greater number than 66. And a number less than 88. Hope this helps.

There are 203 apples in a basket. How many children can share these apples equally? How many apples would each child get?

Question#1: All possible numbers of children in ascending order are:

Question#2: All possible numbers of apples in descending order are:

please help!!!!!!!!!

Answers

Q.1    1,7,29,203
Q.2    203,29,7,1

Answer:

Question 1: 1, 7, 29, 203

Question 2: 203, 29, 7, 1

Step-by-step explanation:

the distance around a circle (the circumference) is about 3.14 times the diameter. If a circulares table has a diameter of 3 feet What is the circumference can somebody please help me I'm stuck xD

Answers

Well.
The relation between the circumference of a circle and its diameter is described by the following equation: [tex] Thecircumference=\pi d[/tex]
where d is the diameter of the circle.
For a giving diameter (d=3ft), we can substitute in the previous equation 
The circumference of a circule= 3.14*3 (you can use ur calculator to find the exact number i guess it will be about 9.42 ft)

I hope it helps.

Please help me questions 9 and 10

Answers

Problem 9's answer is choice C) rotation then reflection
Problem 10's answer is choice B) 65 degrees

---------------------------------------------------------

Explanations:

For problem 9, we rotate 90 degrees clockwise to go from figure 1 to figure 2. Then we reflect over the x axis to go from figure 2 to figure 3.

------------

For problem 10, notice how
angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5

If x = 5, then 
angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 15+10
angle GEC = 25

So that means
angle FEG = 90 - (angle GEC)
angle FEG = 90 - 25
angle FEG = 65 degrees

Find the fifth term of an=2(-1) n

Answers

The 5th answer in this series would be -2. 

We know this because in any problem where we have a base (2) being multiplied by a -1^n power, the numbers will simply alternate between positive 2 and negative 2. All of the even powers will be positive 2 and all of the odd numbers will be negative 2. See the work below. 

2(-1)(-1)(-1)(-1)(-1)
2 (1)(-1)(-1)(-1)
2(1)(1)(-1)
2(-1)
-2

So since 5 is odd, the answer is negative 2. 

Answer:

The fifth term of [tex]a_n = 2(-1)^n[/tex] is, -2

Step-by-step explanation:

Given the sequence:

[tex]a_n = 2(-1)^n[/tex]             .....[1]

where,

n is the number of terms.

To find the fifth term of the given sequence:

Substitute n = 5 in [1]  we have;

[tex]a_5 = 2 \cdot (-1)^5[/tex]

⇒[tex]a_5 = 2 \cdot -1 = -2[/tex]

Therefore, the value of fifth term of [tex]a_n[/tex] is, -2

The formula V = πd2h 8 is used to find the volume of a parabolic cone. In the formula "d" represents the diameter of the cone and "h" represents the height. What is the volume of the parabolic cone that is 6 cm in diameter and 12 cm in height? A) 36π cm3 B) 48π cm3 C) 54π cm3 D) 60π cm3

Answers

Answer:

V = 54π cm³ ⇒ answer (C)

Step-by-step explanation:

∵ V = (πd²h)/8

∵ d = 6 cm

∵ h = 12 cm

∴ V = (π × 6² × 12) ÷ 8 = 54π cm³

Final answer:

To find the volume of a parabolic cone with a diameter of 6 cm and height of 12 cm using the formula V = πd²h/8, calculate the radius (3 cm), square it, multiply by the height, divide by 8, and then multiply by π, resulting in 54π cm³(Option C).

Explanation:

The student's question pertains to calculating the volume of a parabolic cone using a specific formula, which is V = πd²h/8, where d is the diameter and h is the height of the cone.

Given the cone's diameter (d) of 6 cm and height (h) of 12 cm, we can plug these values into the formula to find the volume:

First, calculate the radius (r) of the cone by dividing the diameter by 2: r = d / 2 = 6 cm / 2 = 3 cm.Next, plug the radius and height into the formula and calculate the volume:
V = π * r² * h / 8
V = π * (3 cm)² * 12 cm / 8
V = π * 9 cm² * 12 cm / 8
V = π * 108 cm³ / 8
V = 13.5π cm³This simplifies to V = 13.5π cm³, which is option C, 54π cm³.

Therefore, the volume of a parabolic cone with a diameter of 6 cm and a height of 12 cm is 54π cm³.

evaluate if hj + h if h = 6 and j = 8

Answers

The answer to your problem is 54.
6 multiplied by 8 plus 6-
8 multiplied by 6 is 48
48 plus 6 is 54

What is the area of this trapezoid? Enter your answer in the box. units2 A rectangle with a length of 10 and a height of 9 has two right triangles on each side of it with short leg lengths of 9.

Answers

we have that

[the area of the trapezoid]=[area of rectangle]+2*[area of triangle]
[the area of the trapezoid]=[10*9]+2*[9*9/2]
[the area of the trapezoid]=[90]+2*[40.5]= 171 units²

see the attached figure

the answer is 171 units²
171 I think I need help too......

a cylinder shaped drum is used as a garbage container. The drum has a height of 4 ft and a radius of 1.25 ft how many cubic feet of garbage does the drum hold ? enter your answer as a decimal rounded to the nearest hundreth

Answers

To solve this problem you must apply the formula for calculate the volume of a cylinder, which is shown below:

 V=πr²h

 V is the volume of the cylinder.
 r is the radius of the cylinder (r=1.25 ft).
 h is the height of the cylinder (h=4 ft).

 When you substitute these values into the formula ofr calculate the volume of the cylinder, you obtain:

 V=πr²h
 V=π(1.25 ft)²(4 ft)
 V=19.63 ft³

 Therefore, the answer is: 19.63 ft³

Answer:

19.63

Step-by-step explanation:

Japan accounts for about 5.4% of the world's petroleum consumption. Write this percent as a fraction.

Answers


The answer is:   " [tex] \frac{27}{500} [/tex] "  .
________________________________________________________

5.4 % = 5.4 / 100 = 54/1000 = (54÷2) / (1000÷2) =  " [tex] \frac{27}{500} [/tex] "  .

OR:

5.4 % = 5.4 / 100 = 5.4 ÷ 100 = 0.054 = 54/1000 = (54÷2) / (1000÷2) =
 
    " [tex] \frac{27}{500} [/tex] " .
________________________________________________________

"The correct fraction representing Japan's petroleum consumption as a percentage of the world's total is [tex]\(\frac{5.4}{100}\).[/tex]

To express the given percentage as a fraction, one must divide the percentage by 100, since percentages are parts per hundred. T

hus, 5.4% can be written as a fraction by placing 5.4 over 100, which gives us [tex]\(\frac{5.4}{100}\)[/tex].

Finally, this fraction can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2 in this case, yielding the simplified fraction [tex]\(\frac{27}{500}\).[/tex]

When reduced to a fraction without a decimal,  [tex]\(\frac{27}{500}\)."[/tex]

QUICKK EXPERTS/ACE/GENIUSES

Answers

The answer is C because a translation is just moving the object up, down, left, or right. In the other three images, the picture is either reflected or rotated, which is not a translation.
the correct answer would be C.

In a factory a manager tests 250 products and find defcts in 7 of them how many defcts are likely going to be in 10000 unit order

Answers

So first you take 7/250*x/10000 and you cross multiply. Then you get
70000=250x
and the answer is 
x=280


I hope this helps!!!!!!!

6 identical toys 1.8kg. B) what is the weight of one toy? give your answer in grams. C) what is the weight of 4 toys? give your answer in kilograms.

Answers

B=300grams
C=1.2Kg or 1200grams

Total weight of six identical toys = 1.8 Kg

Therefore, the weight of one such toy = 1.8 kg/ 6 = 0.3 kg

Further, 1 kg = 1000 gms

Answer to Ques B-

Weight of one toy in grams = 0.3 * 1000 grams

= 300 grams

Answer to Ques C-

Weight of 4 toys in kilograms = 0.3 * 4 kilograms

= 1.2 kilograms

Hope this helps..!!

Thank you :)

What is three fourths multiplied by 24

Answers

the answer is 6 jsjdjej2jdjfbebwjxnenwix d did bc sjsixne
18. You can divide 24 by 4 to get 6 (1/4 of 24), then multiply 6 by 3 to get 18 (3/4 of 24). You can also multiply 24 by 3, then divide by 4.  

The price of a shirt was $38. It was reduced by 20% and then again by 10%. What would the price of be if it were reduced by 30% from the original

Answers

11.4 should be the right answer

Original Price of the shirt is $38.

Double discount :

Given that it was reduced by 20%, means

[tex] \\ Cost \; of \; Shirt\; after\; 1^{st}\; discount (20\%)\\ \\= \; (100\; - \; 20) \%\; of \; Original Price=\; 80\%\; of\; \$38\\ \\ = \frac{80}{100} \times 38\; =\; \frac{3040}{100}\; =\; \$30.40\\ \\ Cost \; of \; Shirt \; after\; 2^{nd}\; discount(10\%)\\ \\ (100 - 10)\%\; of\; $30.40=90\%\; of\; \$30.40\\ [/tex]

[tex] =\frac{90}{100} \times 30.40 = \frac{2736}{100}= \$27.36 \\ \\ After \; double \; \; discount,(20\%\; of\; Original\; Price, again\; 10\%\; reduced\; )\\\\ Double \; Discounted \; Price = \$ 27.36\\ \\ But \; After\; single \; discount\; of\; 30\%\; of\; Original \; Price, \; we\; get\\ \\ (100-30)\%\; of \; \$38=70\% \times \$38=\; \frac{70}{100} \times 38 =\frac{2660}{100}=\$26.6 [/tex]

Which of the polygons listed below have at least three angles?

I Triangles
II Quadrilaterals
III Pentagons
IV Hexagons
A. III and IV
B. II, III, and IV
C. I, II, III, and IV
D. IV

Answers

C: All of the above; I, II, III, and IV
it's C they all have at least three angles


(−6)∙(a+2b−3c−4d)−(−2)∙(−4a−3b+2c+d)

Answers


(−6)∙(a+2b−3c−4d)−(−2)∙(−4a−3b+2c+d)
this will give us:
-6(a+2b-3c-4d)+2(-4a-3b+2c+d)
opening the parenthesis we get:
-6a-12b+18c+24d-8a-6b+4c+2d
putting like terms together we get
-6a-8a-12b-6b+18c+4c+24d+2d
simplifying the above we get
-14a-18b+22c+26d
the answer is :
-14a-18b+22c+26d

Answer:

-14a-18b+22c+26d

If a ploynominal has four terms 3x^3+5x+6x^2+10 which factoring method can be considered

Answers

P(x)=3x^3+6x^2+5x+10
dividers of 10: {1,2,5,10}
P(-2)=3×(-2)³+6×(-2)²+5×(-2)+10=0
using the ruffini rule:
Q(x)=x+2
R(x)=3x²+5
3x²+5 = 0   impossible equation
P(X)=(x+2)(3x²+5)

Answer:

(c) Factor by Grouping

kevin had 13 coins in his pocket. all of his coins are either dimes or quarters. when he emptied his pocket, kevin found that he had 2.05. how many dimes and quarters does he have?

Answers

5 quarters and 8 dimes = $2.05

Answer:

Kevin has 5 quarters and 8 dimes.

Step-by-step explanation:

First of all, a quarter is worth 0.25 dollars, while a dime is worth 0.10 dollars. As Kevin has 13 coins in his pocket which in sum make $2.05, and all of them are either dimes or quarters, in order to determine how many dimes and quarters does he have, we have to take into account that he's got an odd number of quarters, since the final amount of money sums $2.05, that is, it ends in 5.

Therefore, if he had 1 quarter and 12 dimes (0.25 + 12x0.10 = 1.45), he would have $1.45.

If he had 3 quarters and 10 dimes (0.25x3 + 10x0.10 = 1.75), he would have $1.75.

If he had 5 quarters ahd 8 dimes (0.25x5 + 8x0.10 = 2.05), he would have $2.05, so this is the correct option.

Find the general solution to y′′+7y′=0y′′+7y′=0. give your answer as y=..

Answers

Try this option:
1. characteristic equation is:
a²+7a=0;
[tex] \left[\begin{array}{ccc}a=0\\ a=-7\end{array}\right[/tex]
2. y=C₁+C₂e⁻⁷ˣ.

given the input in the table which function rule produces the output?

Answers

Try this option:
4*4+2=18; 5*4+2=22; 7*4+2=30; 8*4+2=34
Answer: y=4x+2

Answer: b) [tex]f(x)=4x+2[/tex]

Step-by-step explanation:

The given table :-

Input           4               5                7                8

Output        18              22              30              34

Let's check all the options

a) [tex]f(x)=5x-2[/tex]

At x= 4, [tex]f(4)=5(4)-2=18[/tex]

At x= 5 , [tex]f(5)=5(5)-2=25-2=23\neq22[/tex]  , thus it not the correct function.

b) [tex]f(x)=4x+2[/tex]

At x= 4 ,  [tex]f(4)=4(4)+2=18[/tex]

At x= 5 ,  [tex]f(5)=4(5)+2=22[/tex]

At x= 7 ,  [tex]f(7)=4(7)+2=30[/tex]

At x= 8 ,  [tex]f(8)=4(8)+2=34[/tex] , thus it is the function rule that  produces the output.

c) [tex]f(x)=3x+6[/tex]

At x= 4 ,  [tex]f(4)=3(4)+6=18[/tex]

At x= 5 ,  [tex]f(5)=3(5)+6=21\neq22[/tex]  , thus it not the correct function.

d)  [tex]f(x)=2x+10[/tex]

At x= 4 ,  [tex]f(4)=2(4)+10=18[/tex]

At x= 5 ,  [tex]f(5)=2(5)+10=20\neq22[/tex]  , thus it not the correct function.

Hence, the correct function rule that produces the output = b) [tex]f(x)=4x+2[/tex]

Use the distributive property to simplify the expression. 8(3 + 4) = 24 +

Answers

Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
The answer is 8(3 + 4) = 24 + 32

Calculate the resistance of a piece of aluminum wire with a diameter of 100 mils and a length of two miles, at 68°F. Hint: Be sure to first convert mils to cmils and use the K value for aluminum found in the reference. (Round the FINAL answer to two decimal places.)

Answers

Answer: [tex]R = 16.83 \text{ ohms}[/tex]

Explanation:


The resistance of an aluminum wire is given by

[tex]R = \frac{\rho L}{A} [/tex]

where:

[tex]R = \text{ resistance of the wire} \\ \rho = \text{resistivity of the aluminum} = 2.65 \times 10^{-8} \text{ ohm-meters} \\ L = \text{length of the wire} = 2 \text{ miles} \\ A = \text{cross-sectional area of the wire} [/tex]

Since the resistivity is in ohm-meters, we need to convert the length to meters and the area to square meters. But we need to convert mils to cmils first to get the cross sectional area of the wire.

To convert mils to cmils, we get the square of the diameter of the circle in mils because 1 cmil (or circular mil) is the area of the circle whose diameter is 1 mil. So, since the diameter of the wire is 100 mils, the cross-sectional area of the wire in cmils is given by:

[tex]\text{Area in cmils = }d^2 = 100^2 = 10,000 = 10^4 \text{ cmils}[/tex]

Note that we convert the area in terms of scientific notation because the resistivity is expressed in scientific notation and it is easier to multiply very large and very small numbers if they are expressed in scientific notation.

Now, since [tex]1 \text{ cmil} = 5.067 \times 10^{-10} \text{ square meters}[/tex], the cross sectional area of the wire is equal to 

[tex]10^4 \text{ cmils} = (10^4 \text{ cmils} )\left ( \frac{5.067 \times 10^{-10} \text{ square meters}}{1\text{ cmil}} \right ) [/tex]
[tex]10^4 \text{ cmils} = 5.067 \times 10^{-6} \text{ square meters}[/tex]

Since 1 mile = 1,609.344 meters, 2 miles = 2 × 1,609.344 meters = 3,218.688 meters = [tex]3.218688 \times 10^3 \text{ meters}[/tex]. . 

Hence the resistance is given by

[tex]R = \frac{\rho L}{A} \\ R = \frac{(2.65 \times 10^{-8} \text{ ohm-meters}) (3.218688 \times 10^3 \text{ meters})}{5.067 \times 10^{-6} \text{ square meters}} \\ \boxed{R = 16.83 \text{ ohms}}[/tex]


 
Final answer:

This answer calculates the resistance of an aluminum wire of specific dimensions. It begins by determining the cross-sectional area of the wire, then uses a formula incorporating resistivity, length, and area to calculate resistance. The final resistance of the wire is approximately 0.037 Ohms.

Explanation:

To calculate the resistance of a piece of aluminum wire, we first need to figure out the cross-sectional area of the wire. As given, the diameter of the wire is 100 mils. To convert mils to cmils (circular mils), we square the diameter, thus 100^2 = 10,000 cmils is the cross-sectional area.

Next, we use the formula for resistance: R = ρL/A, where R is the resistance, ρ (Rho) is the resistivity of the material (aluminum, in this case), L is the length in feet, and A is the cross-sectional area in circular mils (cmils).

We need to convert the length from miles to feet (1 mile = 5,280 feet), so 2 miles = 10,560 feet. The resistivity of aluminum at 68°F is approximately 10.75 nanoOhms*meter, to convert this to Ohms*foot we multiply by 3.281, so ρ becomes approximately 35.28 nΩ/ft.

The resistance R can then be calculated as follows: R = ρL/A = (35.28 x 10^-9) x 10,560 / 10,000 = 0.037 Ohms, rounded to two decimal places.

Learn more about Wire Resistance here:

https://brainly.com/question/30799966

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Hydrogen bonds are strong B.hydrogen bonds make the positive sides of water molecules stick to each other C.hydrogen bonds are not strong but there are plenty of them in a drop of water. Which of the following scenarios best reflects financial stability? A.A GED and some college; working as a teacher's aide for three years B.Some community college; working as an assistant manager of a department store C.A high school diploma; working at a grocery store for five years D.A college degree; working as a teacher at an elementary school for five years When a professor is delivering a lecture and some students begin to whisper back and forth, the professor may stop the lecture, remain silent, and stare at the students. the professor's behavior is an example of: select one:a. deviant behaviorb. role-playingc. civil inattentiond. negative sanctione. positive reinforcement? What term is used in the ending terminal symbol of a function flowchart? In josh, who is undergoing puberty, ________ is (are) a primary sexual characteristic; and ________ is (are) a secondary sexual characteristic According to your reading, Macy's uses ________ technology to track individual items for sale on store shelves. After becoming very angry with your sister and wishing that she were dead, you dream about pushing her off a cliff. according to freud, the latent content of your dream would be _____, while the manifest content would be _____. President woodrow wilson persuaded the american people to enter world war i by witch statement best describes how to determine whether f(x) =x^3+5x+1 is an even function? What does fruit of her womb mean in hammurabi's code? I'll give brainliest to whoever shows there work. Plz answer before 2: 30 pm.The table below shows the number of cars sold each month for 5 months at two dealerships. Cars SoldMonth Admiral Autos Countywide CarsJan 4 9Feb 19 17Mar 15 14Apr 10 10May 17 15Which statements are supported by the data in the table? Check all that apply.The mean number of cars sold in a month is the same at both dealerships.The median number of cars sold in a month is the same at both dealerships.The total number of cars sold is the same at both dealerships.The range of the number of cars sold is the same for both dealerships.The data for Admiral Autos shows greater variability. The following can be said of life during the great depression A person with blood type a can receive blood from individuals with which blood type(s)? Select the compounds below that are covalent: AuBr3 B2H6 HCl Ca3(PO4)2 MnO2 Sn(SO4) NH3 Al(OH)3 NO2 S2F4