The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
[tex]\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1[/tex]
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
Learn more about z-score refer:
https://brainly.com/question/21262765
#SPJ2
Solve for x in terms of h.
10x + 20h = -4(-3x - 8h)
Answer:
x= -6h
Step-by-step explanation:
opening up the bracket
10x+20h=12x+32h
10x-12x=32h-20h
-2x=12h
x=-6h
Answer:
x=-6h
Step-by-step explanation:
Isolate the variable by diviiding each side by factors that don't contain the variable. Hopefully this is helpful :)
encouraging quote by me: dont say we need more people like (PERSON) strive to be like them dont wait for the change be the change
Answer:
very nice
Step-by-step explanation:
Find the measure of each angle indicated
Answer:
45°
Step-by-step explanation:
here's your solution
=> we know that sum of both angle is equal
180°
=> because both angle are co-interior angle
=> let the unknown angle be x
=> so, X + 135° = 180°
=> x= 180 - 135
=> 45°
hope it helps
Will give BRAINLIEST if gives correct answer
Find the diameter
Answer:
The list already says the diameter. Here's the answers for the other stuff though:
A≈201.06
A≈4417.86
Televisions are measured diagonally to determine their listed size. Roxanne bought a 40-inch television that measures 24 inches in height. How many inches wide is the television?
Answer:
The width is 32 inches
Step-by-step explanation:
Find the sum of the interior angle measures of the polygon.
Please help!
The Moon's gravity is that of Earth. If an astronaut weighs 79 kilograms (175 pounds) and his space suit weighs 50 kilograms (110 pounds), how much would the astronaut and his suit weigh on the Moon?
The data in the line plot show the scores on a recent quiz in Mrs. Riley's class. Which is the best measure of central tendency?
A. range
B. mean
C. median
D. mode
Answer:
mode
Step-by-step explanation:
can someone help please?;)
Answer:
56.137 Square Unit
Step-by-step explanation:
Rectangle: 7x6=42
1/2 Circle: 1/2x3x3x[tex]\pi[/tex]=14.137
42+14.137=56.137
In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
The Apple, Inc. sales manager for the Chicago West Suburban region is disturbed about the large number of complaints her office is receiving about defective ipods. New Apple CEO Tim Cook is also very displeased and wants the situation remedied as soon as possible. The sales manager examines this Excel file ipod Weekly Complaints, which shows the number of complaints concerning defective ipods received by her office for each of the immediately preceding 52 weeks.
Required:
What is the probability that between 77 and 120 complaints are received in one week?
Answer:
0.6856
Step-by-step explanation:
[tex]\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}[/tex]
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution ([tex]\mu =[/tex]108, [tex]\sigma[/tex] = 20)
Using Z scores:
[tex]Z = \dfrac{77-108}{20} \\\\ Z = -\dfrac{35}{20} \\ \\ Z -1.75[/tex]
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
[tex]Z = \dfrac{120-108}{20} \\ \\ Z = \dfrac{12}{20}\\ \\ Z = 0.6[/tex]
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
Which statement is true?
The number √22 is irrational because the decimal expansion does not repeat and does not terminate.
The number √22 is irrational because the decimal expansion repeats or terminates.
The number √22 is rational because the decimal expansion does not repeat and does not terminate.
The number √22 is rational because the decimal expansion repeats or terminates.
A
Step-by-step explanation:
just listen to me because i know your doing benchmark just like me
A circle has a radius of 5 centimeters. What is the area?
Answer:
[tex]25\pi[/tex]
Step-by-step explanation:
The formula for the area of a circle is [tex]A=\pi r^{2}[/tex], r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however [tex]25\pi[/tex] is the exact answer.
Find the value of xx in the equation below
X - 15.4 = 19.1
Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
x equals -3
Hope this helps :)
Step-by-step explanation:
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random; let denote the number among the four who have earthquake insurance.
1. Find the probability distribution of X. [Hint: Let S denote a homeowner who has insurance and one who does not. Then one possible outcome is SFSS, with probability (.25)(.75)(.25)(.25) and associated X value 3. There are 15 other outcomes].
2. What is the most likely value for X?
3. What is the probability that at least two of the four selected have earthquake insurance?
Missing part of the question
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................
Answer:
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]Mean = 1[/tex]
[tex]Pr = 0.2617[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
[tex]p = 25\%[/tex]
Solving (a): The probability distribution of x
We have:
[tex]n = 4[/tex]
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
The probability of not having earthquake insurance (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.25[/tex] [tex]= 0.75[/tex]
If x has insurance, then n - x do not.
The distribution follows a binomial pattern. So, the probability distribution is:
[tex]P(X = x) = ^nC_x * 0.25^x * 0.75^{n-x}[/tex]
Substitute 4 for n
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
Solving (b): The most likely value of x i.e. The mean
We have:
[tex]n = 4[/tex] and
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
[tex]Mean = np[/tex]
[tex]Mean = 4 * 0.25[/tex]
[tex]Mean = 1[/tex]
Solving (c): At least 2 of 4 selected have earthquake insurance.
This is calculated as
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]P(X=2) = ^4C_2 * 0.25^2 * 0.75^{4-2}[/tex]
[tex]P(X=2) = 6 * 0.25^2 * 0.75^2 = 0.2109375[/tex]
[tex]P(X=3) = ^4C_3 * 0.25^3 * 0.75^{4-3}[/tex]
[tex]P(X=3) = 4 * 0.25^3 * 0.75 = 0.046875[/tex]
[tex]P(X=4) = ^4C_4 * 0.25^4 * 0.75^{4-4}[/tex]
[tex]P(X=4) = 1 * 0.25^4 * 1= 0.00390625[/tex]
So:
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]Pr = 0.2109375 + 0.046875 + 0.00390625[/tex]
[tex]Pr = 0.26171875[/tex]
[tex]Pr = 0.2617[/tex] --- approximated
A scuba diver is at an elevation of 53 feet below sea level. A hiker is at an elevation of 228 feet above sea level. What is the difference in elevation between the scuba diver and the hiker?
Answer:
281 feet
Step-by-step explanation:
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answer: undefined
Step-by-step explanation:
I think im not sure tho
han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?
Answer: [tex]\$90[/tex]
Step-by-step explanation:
Given
The price of the ticket prior to match day is [tex]\$30[/tex]
It is stated that there is [tex]200\%[/tex] the markup on match day i.e.
The selling price of the ticket is
[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]
So, han must expect to pay [tex]\$90[/tex] on that day
what is the volume of this figure in cubic inches?
a. 32
b. 256
c. 416
d. 7.680
Answer:
I think its b
do you have to times it?
Pleaseeeee helppppppp
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
Does anyone the answer to that? if so please ANSWER FAST THANK YOU!!
Add and express your answer in scientific notation (5.7 x 10^8) +(3.2 x 10^6)
5.7+3.2=8.9
10^8+10^6=10^14
(8.9+10^14)
---
hope it helps
What's up!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! Thanks!
Answer:
Triangular prism with base being an equilateral triangle with side of 9.
Area of equilateral triangle with side a:
b = (√3/4)a²Volume:
V = bh = (√3/4)a²h = (√3/4)9²*14 = 491.0 cm³Surface area:
A = 3ah + √3/2*a² = 3*9*14 + √3/2*9² = 448.1 cm²When bivariate data from a survey is graphed what is graph called ?
Answer:
D
Step-by-step explanation:
Scatter plot (Use excel with any bivariate data you can find)
Find the distance between the points (–7,–6) and (3,–6).
Answer:
(3+7)2+(-6+6)2
100+0
100
10
During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves
Answer:
4
Step-by-step explanation:
set up an equation:
let h be the number of hours you spent raking.
then, the cost would be 10 + 8 times the number of hours.
In equation form:
[tex]10 + 8h = 42[/tex]
solve:
[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]
So you worked for 4 hours
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
ce este un numar rational?
Answer:
ratio
Step-by-step explanation:
In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath