Answer:
Hi there!
An inequality to demonstrate this is:
105.5 + 7.5x >= 250
Hope this helps
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
Choose a number line to model the following situation. After walking 5 steps forward, Julie walked 5 steps backward.
Answer:
B
Step-by-step explanation:
She walked 5 steps foward and stoped. Then turned around and walk back the same distance. So she walked the same place twice once to get their and once to get back to the starting pouint.
Simplify the expression. -6 + 3(2 - 4t) *
Answer:
-6 + 6 - 12t *
0 - 12t *
12t *
Therefore the answer is 12t *
Find 5.5x when x=7.5
Answer:
41.25
Step-by-step explanation:
if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5
=41.25
Answer:
41.25
Step-by-step explanation:
5.5(7.5) Stubstitue the varuable for the value
41.25 Multiply
4. A dolphin decsends toward the bottom of
the ocean at a rate of 12 feet per second
for 20 seconds. How much did the
dolphin's position change in all? (5 points
for work, 5 points for answer) (TEK 7.3B)
Please help me solve this problem.
Answer:
h = V/πr²h = 10 inchesStep-by-step explanation:
V = πr²h1. Solving for h:
V = πr²hπr²h = Vπr²h/πr² = V/πr²h = V/πr²2. Finding the height of given cylinder, using formula above:
V = 90π, r = 3 inches, h = ?h = V/πr²h = 90π/π3²h = 10 inches
Which of the following is an irrational number?
81/37
85
25
47
What is a y-intercept of the continuous function in the table?
Answer:
5=y-intercept
Step-by-step explanation:
the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5
There is a harvest festival each year on the planet Bozone. During that time, most of the Bozone residents sit down to rejoice and eat roast snig. Past history shows that a reasonable price-demand equation is: p = 300 − 18 x where x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat. a . To sell an additional kilogram of snig, how much does the price need to decrease
Answer:
The price would be decreased by 18 bozats
Step-by-step explanation:
The following information is given in the question
x = number of kilograms of snig sold
P = Price per kilogram
And, the equation is
p = 300 - 18x
Now if an extra kilogram is sold so it should be x+1
Now the new price is
New price = 300 - 18(x + 1)
= 300 - 18x - 18
Therefore the price would be decreased by 18 bozats
Given that:
Price-demand equation is
[tex]p=300-18x[/tex]
where, x is the number of kilograms of snig sold, and p is the price per kilogram of snig in the local currency, the Boat.
To find:
The price which needs to decrease to sell an additional kilogram of snig,
Solution:
We have,
[tex]p=300-18x[/tex]
If x=1, then
[tex]p=300-18(1)[/tex]
[tex]p=300-18[/tex]
[tex]p=282[/tex]
It means, the price is 282 if 1 kg of snig sold.
Similarly,
If x=2, then
[tex]p=300-18(2)[/tex]
[tex]p=300-36[/tex]
[tex]p=264[/tex]
It means, the price is 264 if 2 kg of snig sold.
Change in price if sales increased by 1 kg is
[tex]264-282=-18[/tex]
Here, negative sign means decrease in price.
Therefore, the price needs to decrease by 18 to sell an additional kilogram of snig.
Five less than one half of a number is 18.
Answer:
x/2 - 5 = 18
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!
NEED HELP ASAP (GET GOOD POINTS)
Answer:
3 degrees in 1 hour
Step-by-step explanation:
.75 degrees
-----------------
1/4 hours
Multiply the top and bottom by 4
.75 degrees *4
-----------------
1/4 hours*4
3 degrees
------------------
1 hour
HELP PLZ
what is the formula to convert from Fahrenheit to celcius
(32°F − 32) × 5/9 = 0°C
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:
If the odds against Deborah's winning first prize in a chess tournament are 1 to 7, what is the probability of the event that she will win first prize?
Answer:
7/8
Step-by-step explanation:
Odds against are the ratio between losses and wins.
odds against = L / W
Probability of winning is the ratio between wins and all games.
probability = W / games
probability = W / (W + L)
The odds against are 1 to 7.
1/7 = L / W
W = 7 L
The probability is therefore:
P = (7 L) / (7 L + L)
P = 7/8
How much larger is 5 than -5 ? ( if using a number line what is the difference between -5 and 5)
Answer:
-10 if moving to left 10 if moving to the right
Step-by-step explanation:
The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10
The difference is 10.
5 - (-5) = 10.
you are subtracting a negative number.
That basically means adding.
a trick to that is using the two subtraction symbols to make a plus.
I added an image in case that didn’t make sense!
A student moves into a bigger apartment that rents for $550 per month. That rent is $300 less than twice what she had been paying. Find her former rent in dollars.
$
Answer:
Step-by-step explanation:
Her former rent is $ x
Twice the former rent: 2*x = 2x
$300 less than 2x: 2x - 300
2x - 300 = 550
Add 300 to both sides
2x - 300 + 300 = 550 + 300
2x = 850
Divide both sides by 2
2x/2 = 850/2
x = 425
Her former rent = $425
In this question, the older and newer rents of a student in two apartments in given. And some conditions and information is also provided,
GiveN:
New rent = $ 550This is $ 300 less than twice the previousWe have find her rent in the previous apartment.
Let her previous rent be $ x
Then according to question,
➝ $ 550 = 2x - $ 300
Adding $ 300 both sides,
➝ $ 550 + $ 300 = 2x
Flipping it,
➝ 2x = $ 850
➝ x = $ 425
So, The previous rent of the student:
[tex] \huge{ \boxed{ \bf{ \$ \: 425}}}[/tex]
And we are done !!
#CarryOnLearning
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Is 6.60660666 a rational number?
Answer:
no
Step-by-step explanation:
Please Answer Dis .
Answer:
543.
Step-by-step explanation:
Add both numbers as if they were positive.
100 x 0.64
Please help sorry I keep asking questions I’m doing a test and it’s kinda hard
100 x 0.64 = 64.
All you have to do is multiply the numbers as if there wasn’t a decimal.
Then you add a decimal after 2 numbers.
.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.
So when you get 6400 you out a decimal after 00.
That gives you 64
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)
What is equivalent to
5[4 + 3(x – 6)]?
Answer:
odk
Step-by-step explanation:
What number is 136% of 12.24?
Answer:
I really don't know but I'm trying to hurry for my quiz lol sorry
Answer:
cxcxcxcxcxgergddgg
Step-by-step explanation:
If a=2b then a:b= what ???
Answer:
[tex]2:1[/tex]
Step-by-step explanation:
[tex]a:b\\---\\\ 2b:b\\2:1[/tex]
If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.
Answer:
35
Step-by-step explanation:
34+ you = 35
After killing still people are inside room.
distance between -6.5 and 5.25
Answer:
11.75
Step-by-step explanation:
6th grade math plsss help
Answer:
17.2
Step-by-step explanation:
Answer:
The answer is 17.2
Step-by-step explanation:
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!
Enter the mixed number as a decimal 3 and 1 over 10
a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL