The tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds. If 50,000 parts are produced, how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength? How many would have a tensile strength in excess of 48 pounds?
Answer:
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
7933 parts
b) How many would have a tensile strength in excess of 48 pounds?
2739.95 parts
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
a) how many would you expect to fail to meet a minimum specification limit of 35-pounds tensile strength?
z = (x-μ)/σ
x = 35 μ = 40 , σ = 5
z = 35 - 40/5
= -5/-5
= -1
Determining the Probability value from Z-Table:
P(x<35) = 0.15866
Converting to percentage = 15.866%
We are asked how many will fail to meet this specification
We have 50,000 parts
Hence,
15.866% of 50,000 parts will fail to meet the specification
= 15.866% of 50,000
= 7933 parts
Therefore, 7933 parts will fail to meet the specifications.
b) How many would have a tensile strength in excess of 48 pounds?
z = (x-μ)/σ
x = 48 μ = 40 , σ = 5
z = 48 - 40/5
z = 8/5
z = 1.6
P-value from Z-Table:
P(x<48) = 0.9452
P(x>48) = 1 - P(x<48)
1 - 0.9452
= 0.054799
Converting to percentage
= 5.4799%
Therefore, 5.4799% will have an excess of (or will be greater than) 48 pounds
We are asked, how many would have a tensile strength in excess of 48 pounds?
This would be 5.4799% of 50,000 parts
= 5.4799% × 50,000
= 2739.95
Therefore, 2739.95 parts will have a tensile strength excess of 48 pounds
What is x=to in this? 3x + 18 = 4x + 10
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
[tex]3x+18=4x+10[/tex]
Subtract 18 from both sides:
[tex]3x+18-18=4x+10-18[/tex]
[tex]3x=4x-8[/tex]
Subtract 4x from both sides:
[tex]3x-4x=4x-8-4x[/tex]
[tex]-x=-8[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{-8}{-1}\\[/tex]
[tex]x=8[/tex]
the daily cost of hiring a plumber to work x hours on a repair project can be modeled using linear function. the plumber charges a fixed cost of $80 plus and additional costs of $45 per hour. the plumber works a maximum of 8 hours per day.
for one day of work, what is the maximum daily cost that the plumber will charge?
Answer:
15 dollars
Step-by-step explanation:
horizontal translation
reflection over the x-axis
reflection over the y-axis
Answer:
The correct option is;
Reflection over the y-axis
Step-by-step explanation:
An even function is a function that satisfies the following function equation;
f(x) = f(-x)
Therefore, for an even function, we have;
f(x) - f(-x) = 0
Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x
Therefore, the symmetry of an even function is about the y-axis
However, an odd function is a function that satisfies the following function equation;
f(-x) = -f(x)
Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;
f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).
why do you think that Eulid's ideas have lasted for thousands of years?
Answer:
ye
Step-by-step explanation:
Answer and I will give you brainiliest
MATH
Answer:
I think that the answer would be question 3
Step-by-step explanation:
I think i remember doing this question
1.For this problem, 200 meters of fencing will all be used to place fence on all four sides of the rectangle. Your task is to write the area that can be enclosed as a function of the width, w, of the rectangle.
Area equation:
What is the domain for this function (what values do you expect the width to fall between)?
Answer:
Step-by-step explanation:
Given that:
the perimeter of the fencing (rectangle) = 200
Let recall that the area equation of a rectangle = L × w
The perimeter now = 2(L + w)
The perimeter = 2L + 2w
∴
200 = 2L +2w
Dividing both sides by 2
100 = L + w
Making Length L the subject; we have:
- L = -100 + w
L = 100 - w
Thus;
A(w) = (100 - w) w
and the domain of the function is (0,100)
6th grade math plsss help
Answer:
17.2
Step-by-step explanation:
Answer:
The answer is 17.2
Step-by-step explanation:
Find x if EC is a bisector
AC = 3x+6 and CD = 2x + 14
ay
E
236
CON=-8
x=20
On=-20
KID X=8
Description
Answer:
x = 8Step-by-step explanation:
If EC is a bisector of AC and CD, then AC is equal to CD.
Given AC = 3x+6 and CD = 2x + 14, since AC = CD then;
3x+6 = 2x+14
subtract 6 from both sides
3x+6-6 = 2x+14-6
3x = 2x+8
subtract 2x from both sides
3x-2x = 2x+8-2x
x = 8
Hence the value of x is 8
HELP!
Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.
Answer:
$0.50x+5=30
Step-by-step explanation:
maf
Yoko has a rectangular poster that is 15centimeters long and 12 centimeters wide. What is the area of the poster in square meters.
Answer:
44
Step-by-step explanation:
you would add 15+15 and 12+12 because it is rectangular meaning there are 4 sides 2 for the y angle and 2 for the x angle
MATCH THE CONSTANT WITH ITS EXPRESSION! HELP PLEASE I SUCK AT MATH❤️❤️❤️❤️
Answer:
Step-by-step explanation:
The constant of an equation is simply the number at the end without a variable. It is called a constant because it is the only term that doesn't change if you plug in a random x value. So:
The constant of 5a^2 + a - 1 is -1
The constant of 3x^2-x +1 is +1
The constant of y^2-2y+2 is +2
and the constant of m^2 +2m -2 is -2.
Hope this helped!
Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.
Answer: Width=76 ft
Step-by-step explanation:
Let x = width, then x+17=length
Solve:
(x+17)x=7086
x²+17x=7086
x²+17x-7086=0
(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer
x=76 or x=-93 (rej) ⇔ A length cannot be negative.
Complete the equation describing how
x and y are related.
-1
0
1
2.
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Answer:
The relationship between x and y is;
y = -0.5x - 4.5
Step-by-step explanation:
When x = -1, y = -4.
Thus from y = -0.5x + [?], we have;
-4 = -0.5(-1) + [?]
Let's call the question mark m for easy identification.
-4 = 0.5 + m
m = -4 - 0.5
m = - 4.5
At x = 0, y = - 4.5. Thus;
-4.5 = - 0.5(0) + m
m = -4.5
At x = 1, y = -5. Thus;
-5 = - 0.5(1) + m
-5 = - 0.5 + m
-5 + 0.5 = m
m = -4.5
We are seeing the same patter as m = - 4.5
Thus the relationship between x and y is;
y = -0.5x - 4.5
distance between -6.5 and 5.25
Answer:
11.75
Step-by-step explanation:
Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags: Bag 1Bag 2 Draw 124 Draw 245 Draw 313 Draw 464 Draw 579 For the the first bag, the mean is 4 and the standard deviation is 2.5. For the second bag, the mean is 5 and the standard deviation is 2.3. Using the formula below or Excel, find the correlation coefficient, r, for this set of tickets John drew. Answer choices are rounded to the nearest hundredth. r equals fraction numerator 1 over denominator n minus 1 end fraction sum from blank to blank of open parentheses fraction numerator x minus x with bar on top over denominator s subscript x end fraction close parentheses open parentheses fraction numerator y minus y with bar on top over denominator s subscript y end fraction close parentheses 0.50 0.56 0.70 0.75
Answer: 0.75
Step-by-step explanation:
Given the following :
Using the formula above :
___bag 1__bag 2__(bag1-m)/sd__(bag2-m)/sd2
D 1___2____4_____-0.8________-0.4
D 2___4____5_____0_________0
D 3___1____3_____-1.2_________-0.9
D 4___6___ 4_____0.8_________-0.4
D 5___7___9_____ 1.2_________ 1.7
Bag1:
Mean = 4
Standard deviation = 2.5
Bag2:
Mean = 5
Standard deviation = 2.3
Σ-0.8*-0.4 + 0 + - 1.2*-0.8 + 0.8*-0.4 + 1.2*1.7) = 3
1/ (n-1) × 3
1/(5 - 1) × 3
(1/4) × 3
0.25 * 3 = 0.75
Answer:
0.75
Step-by-step explanation:
4x+7y given x=3/4 and y=-1/3
Answer:
4x+7y
4(3/4) +7(-1/3)
3-7/3
=2/3
please mark as brainliest
If all else remains constant and the values of two variables move in the same direction it indicates a Group of answer choices negative slope relationship. inverse slope relationship. the values of the two variables will move in the same direction then move in opposite directions. positive slope relationship.
Answer:
positive slope relationship.
Step-by-step explanation:
When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.
For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.
Please check the attached image for a positively correlated curve
What is equivalent to
5[4 + 3(x – 6)]?
Answer:
odk
Step-by-step explanation:
The midpoint of AB is M(1, -3). If the coordinates of A are (4, -7), what are the
coordinates of B?
Which input value produces the same output value for
the two functions on the graph?
x=-3
x= -2
x=-1
x= 3
Plzzzzz help me
what is a number in which the digit 7 is worth 70
Answer:
Tens, 70, 7x10'1
1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is
Answer:
[tex]8100[/tex], which is the square of [tex]90[/tex].
Step-by-step explanation:
Factor the three divisors into prime numbers:
[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].Any number divisible by these three divisors should include the following factors:
[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)
[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].The product of these three factors would be:
[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].
Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,
[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].
Answer:
8100 is the smallest perfect square divisible by 5,6 and 27
Step-by-step explanation:
5 = 5 * 1
6 = 2 * 3
27 = 3 * 3 *3
5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5
Factors of perfect square will be perfect squares
To make this a perfect, multiply by 5 * 2
Perfect square = 5 * 6 * 27 * 5 * 2
= 8100
What is the value expression for |-8|
Answer:
8
Step-by-step explanation:
What is one equivalent ratio for 1/3
Answer: 2/6
Step-by-step explanation:
Answer:
[tex]\frac{2}{6}[/tex]
Step-by-step explanation:
In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.
Let's do 2.
[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]
So:
[tex]\frac{2}{6}[/tex]
Hope this helped!
Help! ASAP!!!
Use the map shown below to find the distance between cities A and B to the nearest tenth.
Answer:
7.2 units
Step-by-step explanation:
Coordinates of city A = (0, 0)
Coordinates of city B = (6, 4)
Use the distance formula to find the distance between the two cities as follows:
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(0, 0) = (x_1, y_1) [/tex]
[tex] B(6, 4) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]
[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]
[tex] AB = 7.2 [/tex] (nearest tenth)
find the sum 9/10 + 4/100 =?
Exact Form: 47/50
Decimal Form: 0.94
Which of the following is an irrational number?
81/37
85
25
47
−9 1 /6 + 7 help thanks ;)
Hey there!
ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:[tex]-9\frac{1}{6}+7[/tex]
After that, multiply the whole number by the denominator and then add the numerator after you multiply.
[tex]-\frac{55}{6}+1[/tex]
[tex]9*6=54+1=55[/tex]
Now add the negative sign to 55.
[tex]\frac{-55}{6}+7[/tex]
[tex]\frac{-13}{6}[/tex]
Now simplify.
[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Is 2 thirds times 5 greater than or less than 5