Answer:
84.13% of the shipment is defective
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed with mean 39.3 and standard deviation 0.2
This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]
What percentage of the shipment is defective
Less than 39.5 or greater than 40.5.
Less than 39.5:
This is the pvalue of Z when X = 39.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413.
Greater than 40.5:
1 subtracted by the pvalue of Z when X = 40.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]
[tex]Z = 6[/tex]
[tex]Z = 6[/tex] has a pvalue of 1
1 - 1 = 0
Total:
0.8413 + 0 = 0.8413
84.13% of the shipment is defective
Please help with my question
Answer:
[tex]5\frac{5}{6}[/tex]
Step-by-step explanation:
The problem above requires the use of mathematical operation with mixed fractions. In order to do this, you have to convert the mixed fractions into improper fractions first.
Let's convert.
[tex]3\frac{1}{2}[/tex] = [tex]\frac{7}{2}[/tex][tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]Next, you have to multiply the fractions by multiplying the numerators with each other and the denominators with each other.
Let's solve.
[tex]\frac{7}{2}[/tex] x [tex]\frac{5}{3}[/tex] = [tex]\frac{35}{6}[/tex]Since [tex]\frac{35}{6}[/tex] is an improper fraction and the choices above are mixed fractions, you have to convert it.
Let's convert.
[tex]\frac{35}{6}[/tex] = [tex]5\frac{5}{6}[/tex]Therefore, the answer is [tex]5\frac{5}{6}[/tex]
A family goes to a restaurant. When the bill comes, this is printed at the bottom of it:
Gratuity Guide showing 15%=4.89, 18%=5.87, and 20%=6.52
How much was the price of the meal?
Someone help I need the answer immediately.
What is the formula for circumference? а a C = (pi) bo C = 2r с C = (pi) r2
Answer:
2(pi)r=C
Step-by-step explanation:
PLEASE HELP ME ON THIS QUESTION!! Ren invested in two businesses in 2010. She invested $50,000 in Dawn's Flowers, which guaranteed a 7% return per year.
Her investment in Pop's Coffeeshop is represented by the function V(t)=24,500(1.06)t.
Which statements are true?
Select each correct answer.
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop.
In 2020, the Pop's Coffeeshop investment will have a greater value than the Dawn's Flowers investment.
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
In 2015, the Pop's Coffeeshop investment had a greater value than the Dawn's Flowers investment.
Answer:
Dawn's Flowers earned a greater rate of return than Pop's Coffeeshop
Ren's initial investment in Dawn's Flowers was greater than her initial investment in Pop's Coffeeshop.
Plz guys help I need help
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
How do I find the volume of this pyramid
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?
Answer:
5 quarters and 2 dimes
Step-by-step explanation:
5 quarters make 1.25 + 10 cents = 1.45
Answer: she had five quarters and 2 dimes
Step-by-step explanation:
Which is an example of figurative language? 10 points
Question 13 options:
1)
Definition
2)
Evidence
3)
Metaphor
4)
Claim
Answer:
Metaphor
Step-by-step explanation:
Figurative Language: Simile, Metaphor, Personification, Hyperbole
A profit of a football club after a takeover is modeled by p(t) = t3 - 14t2 + 20t + 120, which t is the number of years after the takeover. In which years was the club making loss?
The club losses during the years 4.89 years<t<11.29 years.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Profit of a football club after a takeover is modeled by p(t) = t³ - 14t² + 20t + 120,
t is the number of years after the takeover
We need to find in which years was the club making loss
p(t) = t³ - 14t² + 20t + 120,
the profit is negative when the club is in loss.
Plot the cubic equation
The profit p(t) is negative in the interval (4.89,11.29)
The number of years t cannot be a negative number
Hence the club lost during the years 4.89 years<t<11.29 years.
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y= x/5 +3
a line perpendicular to this line would have a slope of
Find the measure of CD.
Round to the nearest tenth.
mCD= [?]
Answer:
The arc CD is: 114.64°
Step-by-step explanation:
The given triangle inside the circle, we can get the trigonometric ratio such as
sin x = opposite / hypotenuse
Here:
The opposite side of angle x = 36.7/2
The hypotenuse = 21.8
Thus,
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
Thus, the angle formed at the center by CD is:
2 x 57.32 = 114.64°
Therefore, the arc CD is: 114.64°
Answer:
The arc CD would be 114.6°
We use- sin x = opposite / hypotenuse
In the problem the opposite side of angle x = 36.7/2 and the hypotenuse = 21.8
So:
sin x = [36.7/2] / [21.8]
sin x = 18.35 / 21.8
sin x = 0.8417
x = arc sin (0.8417)
x = 57.32°
So the angle formed at the center by CD would have to be 2 x 57.32 = 114.64°
BUT, it says to round to the nearest tenth, so the answer would therefore, the arc CD is: 114.6°
A triangle has two sides that measure 5 cm and 7 cm. Which of the following CANNOT be the measure of the third side? A 3 cm B 5 cm C 7 cm D 12cm
Answer:
D
Step-by-step explanation:
Saying the number of |`s is the number side and |<|||>|| then for a triangle i can say |+||>|||
8 (3x-6) = 6(4x + 8)
Answer:
There is no solution to make it true.
Step-by-step explanation:
1. A recipe for 6servings of Lasagna uses 16 ounces of Italian Sausage.
a. If the recipe were to be made for 15 servings, how many ounces of Italian Sausage would be needed?
b. How many servings of Lasagna can be made with 24 ounces of Italian Sausage?
Answer:
a) 40 oz
b) 64 oz
Step-by-step explanation:
a) you can use the ratio of 6/16 = 15/x and cross-multiply
b) you can use the ratio of 6/16 = 24/x and cross-multiply
HURRY!! 8.1=8w- 17.5. Solve for w
Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.
Answer:
y=4
Step-by-step explanation:
We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.
The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.
What is the slope of a line that is perpendicular to the other line?The slope-intercept form of a line is y = mx + c.
Here, m = slope and c = y-intercept of the line.
The equation of the given line is x = - 4
Therefore, the given line is a vertical line.
Now, the line that is perpendicular to the line x = - 4, is a horizontal line.
Now, the horizontal line that passes through the point (- 3, 4) is y = 4.
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A set of equations is given below:
Equation S: y = x + 9
Equation T: y = 2x + 1
Which of the following steps can be used to find the solution to the set of equations? (4 points)
x = 2x + 1
x + 9 = 2x
x + 1 = 2x + 9
x + 9 = 2x + 1
How many real and how many are imaginary
Please Explain how to do it
Answer:
no idea bud
Step-by-step explanation:
Answer:
There are no real solutions, and 2 imaginary solutions.
Step-by-step explanation:
There are no real solutions since the function never touches the x-axis and it does not have any roots. Imaginary solutions always come in pairs, and since the exponent degree of x is 2, there are 2 solutions to the problem. You can find the imaginary solutions by plugging the equation into the quadratic formula.
how can you find the area of a circle? give me a good explanation please, ty!
Answer:
The area of a circle is pi times the radius squared (Area = pi radius²).
Step-by-step explanation:
The circumference of a circle is the linear distance of a circle's edge. It is the same as the perimeter of a geometric figure, but the term 'perimeter' is used exclusively for polygons.
The following equation describes the relation between the circumference and the radius R of a circle:
C = 2πR
Where π is a constant approximately equal to 3.14159265..
How to find the circumference of a circle
Determine the radius of a circle. Let's assume it's equal to 14 cm.
Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm.
You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm².
Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.
Use our circumference calculator to find the radius when you only have the circumference or area of a circle.
Answer:
Use this formula: A = π r²
Step-by-step explanation:
A = π r²
What does A = π r² mean? :
(Area = Pi x Radius²)
π = Pi (3.14)
² = squared
Hope this helps! :)
Can someone help me with these 2 questions please???
Answer:
See step-by-step explanation.
Step-by-step explanation:
For the first question, you simply put an EMPTY circle above 2 and draw an arrow from it all the way down to -3. The reason why we put an empty circle is because there is no equal sign below it.
For the second question, you put a FILLED circle above 4 and draw an arrow from it all the way down to -3. The reason why we use a filled circle is because x is less than OR equal to 4.
What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number
I prefer you 100% know the answer and not “think” this is very important!!
Answer:
a
Step-by-step explanation:
Write the set using the roster method A={a|a an even number and 15< a< =25}
Answer:
{16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Step-by-step explanation:
Given the set A={a|a an even number and 15< a< =25}
The inequality 15< a< =25 mean the set A consists of all the values between 15 and 25 with 25 inclusive (due to presence of the equal to sign)
Hence the required set A are {16, 17, 18, 19, 20, 21, 22,23, 24, 25}
Note that 15 is excluded from the set of number since 15<a i.e a > 15
Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?
Answer:
A(3) = 6
A(5) = 18
A(11) = 54
PLS MARK AS BRAINLIEST
Sasha ate 3 pieces of bacon for breakfast and ate some pieces for lunch. How many pieces of bacon did she eat today?
how many perfect square are there between 1,000,000 and 9,000,000?
Answer:
1999
Step-by-step explanation:
The square root of 1,000,000 = 1,000.
The square root of 9,000,000 = 3,000.
This means that the number of perfect square will be every number from 1,000^2 to 3,000^2. To find how many numbers that is, just do 3000-1000 = 2000, and then subtract one because otherwise you would be counting the 3000^2 which you don't want to do (it asks how many perfect squares are between the two numbers).
2000 - 1 = 1999.
The number of perfect squares between the values 1,000,000 and 9,000,000 would be 1999
Taking the square root of the boundaries :
√1,000,000 = 1000√9,000,000 = 3000The number of perfect squares would be :
[(√9,000,000 - √1,000,000) - 1]
[3000 - 1000] - 1
2000 - 1
= 1999
Hence, the number of perfect squares would be 1999.
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Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
Will give brainliest
What is the missing reason in step three?
A.SAS
B.SSS
C. Triangle sum theorem
D. CPCTC
PLEASE PLEASE HELP!!!
Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
Simplify the expression below.
5(7x+4y+1)+2(8x+3y+6)
help plz!
Answer:
51x+26y+17
Step-by-step explanation:
Answer:
51x + 26y + 17
Step-by-step explanation:
distribute
5(7x) + 5(4y) + 5(1) + 2(8x) + 2(3y) + 2(6)
35x + 20y + 5 + 16x + 6y + 12
51x + 26y + 17