Answer:
Option B
Step-by-step explanation:
Given:
130 pieces of 3500 were out of specTo determine the percentage of the production was out of spec, we need to use the percentage formula (x/y × 100).
[tex]\implies \dfrac{x}{y} \times 100[/tex]
The value of "x" is the the number of pieces that were out of spec and the value of "y" is the total pieces in the production results.
[tex]\implies \dfrac{130}{3500} \times 100[/tex]
Simplify the expression to determine the percentage of the pieces that were out of spec.
[tex]\implies \dfrac{13000}{3500}[/tex]
[tex]\implies \dfrac{130}{35} = \dfrac{130 \div 5}{35 \div 5} = \dfrac{26}{7} = 3.714... \%[/tex]
When the percentage is estimated to nearest hundredth, we get 3.71%
(Option B)
Answer:
B) 3.71%
Step-by-step explanation:
[tex]\textsf{130 out of 3500}\sf =\dfrac{130}{3500}[/tex]
To convert to a percentage, multiply by 100:
[tex]\implies \sf \dfrac{130}{3500} \times 100\%=0.03714.. \times 100\%=3.71\%[/tex]
PLEASE PLS HELP!!!! Find the height of the prism.
Answer:
[tex] \cos( \alpha ) = \frac{7}{25} \\ \alpha = (73.73979529169) \\ \ \sin(73.73979529169) = \frac{h}{25} \\ h = \sin(73.73979529169) \times 25 \\ h = 24[/tex]
I Need some serious help
Answer:
3
Step-by-step explanation:
Doctor orders 100mg of amiordarone the bottle concentration is 5 mg/ml how many ml do you give?
Answer:
20 ml
Step-by-step explanation:
100 mg / ( 5mg /ml) = 20 ml
48
The two equations shown below represent different functions.
3
Function P: y = = +2
Function Q: y = x+2
1
: y
Identify each function as linear or nonlinear. State a reason why each function is
linear or nonlinear.
Function P
The function Q is a linear function because the function Q has a constant rate
How to identify the function types?The functions are given as:
Function P: y = 3/x + 2Function Q: y = 1/3x + 2A linear function is represented as:
y = mx + b
Where m represents the slope, and b represents the y-intercept
By comparing y = mx + b to the functions, we can see that the function Q is a linear function.
This is so because the function Q has a constant rate, while the function P does not have a constant rate
Read more about linear functions at:
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what is located at ( -1.5 , -2 )
Answer:
in third quadrant... i thinkso
What is the value of the expression 22 + 42 ÷ 22?
Answer:
8
Step-by-step explanation:
The diameters of two circles are 12 and 9 what the difference in square centimeters between the areas of the two circles
Step-by-step explanation:
Area of circle= π(d/2)²For 1st Circle, A1= 36π
For 2nd Circle, A2= 81π/4
A1-A2 = 63π/4
π = 22/7
=49.5unit²
The differences in the areas of circles in square centimeters is 49.455
Formula for area of circle
[tex]A = \pi r^{2}[/tex]
Where,
A is the area of circle
r is the radius of circle
and π = 3.14
What is radius of a circle ?Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :
[tex]Radius = \frac{diameter}{2}[/tex]
According to the given question
Diameter of one circle is 12cm and diameter of another circle 9cm.
Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm
Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm
Therefore,
The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.
Learn more about the area of circle here:
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The mean of the following data is 20.7. Find the value of p 15 25 25 D 3 10 25 7
Answer:
the answer to that question is 5.314
the car is traveling at 80 kilometers per hour. what is the slope of the line?
Answer: y=80x
Step-by-step explanation:
It should be 80x ....try that
If I have read a book at a rate of 20 chapters per hour. How many chapters does she read in 4 hours
20 × 4 = 80chapters
hope it helps...!!!
what is the radius of a circle with a area of 112 square inches
Answer:
[tex]\displaystyle 5,9708213214...\:in.[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]
I am joyous to assist you at any time.
Year
1990
1995
2000
2005
2010
Cell Phone
Subscribers (millions)
4.9
38.3
118.1
229.8
360.4
Use the exponential regression to find an
equation that fits the data, where x is the years
since 1990.
The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ
How to solve an exponential function?Let y represent the amount of subscribers in millions, x years since 1990.
From the table; at point (0, 4.9):
y= abˣ
4.9 = ab⁰
a = 4.9
At point (10, 118.1)
118.1 = 4.9(b)¹⁰
b = 1.37
The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
please help this is very important
4. sector angle = 120°
area of sector = 120/360* π*r^2
= 1/3 π *36 = 12π = 37.69 cm^2
area of isosceles ∆ = .5*36*sin 120 = 15.58cm^2
area of shaded portion = 37.69 - 15.58= 22.11 cm^2
5. sector area = 90/360 * π * 64 = 16π ft^2
area of right ∆ = 1/2*64= 32ft^2
shaded portion area = 16π-32 = 18.26ft^2
6. sector area = 60/360 π 36 = 6π m^2
triangle area = √3/4 * 36 = 9√3 m^2
shaded area = 18.84 - 9√3 = 3.26 m^2
7. sector area = 45/360*π*18^2 = 40.5 π yd^2
8. sector area = 90/360*π*16 = 64π cm^2
9. sector area = 60/360 * π * 169 = 28.16π m^2
10. sector area = 135/360*π*64 = 24π cm^2
1. circle area = π*5.5^2 = 30.25π cm^2
2. circle area = π*0.85*.85 = .7225π ft^2
3. circle area = π * 1/9 in^2
If you divide 42 oranges evenly among 6 people how many oranges will each person have
Answer:
7
Step-by-step explanation:
We have 42 oranges. we want to split the oranges evenly to 6 people. 42 divided by 6 people equals 7 oranges a person.
42÷6
=7
so each person will have 7 oranges.
Which of the following statements is/are true regarding the figure above? Check all that apply. O A. It is a plane. O B. It is a point. C. It is a zero-dimensional object. D. It is a one-dimensional object. SUB
Answer:
b and d i think hope this helps
Step-by-step explanation:
find the inverse of y=ln2x
Answer:
The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
A savings account balance is compounded annually. If the interest rate is 2.7% per year and the current balance is $4,228.00, in how many years will the balance reach $5,518.73?
The number of years it will take the balance to reach $5,518.73 with annual compounding is 9.87 years.
When will the balance reach $5,518.73?When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.
The formula that can be used to determine the number of years is:
Number of years = (In FV / PV) / r
FV = future valuePV = present valuer = interest rate(in 5518.73/4228) / 0.027 = 9.87 years
To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217
costheta =12/13, 3pi/2
QUESTION 1
[tex]cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})[/tex]
QUESTION 2
[tex]\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)[/tex]
First, the fact that we have [tex]sin(2\theta)[/tex] means we have to adjust our range
[tex]\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\[/tex]
[tex]sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}[/tex]
There are no solutions to inverse sin of [tex]\frac{3\pi}{2}\\[/tex]
What is the value of X
Answer:
X = 10.4
Step-by-step explanation:
Since the angle is a 90 degress angle we can assume that
39 + (5x-1) = 90 degrees.
Therefore we can subtract 39 from both sides which will give us
5x-1=51
Add 1 to both sides
5x = 52
Divide both sides by 5
x=52/5
The answer is
X = 10.4
Hope this helps! :)
Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answer:
12-2 is 10
Step-by-step explanation:
Solve for x.
Please help.
Answer: 4?
Step-by-step explanation: im prob wrong
Answer:
3.5
Step-by-step explanation:
help this is a test grade and review but we never learned this
Please help. ily:) Its rlly hard and i need bothe answers to do this.
Your answer is (3,6)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(3,6)
Your Answer:
Your answer is (3,6)
Help
Brainleist
15 points
[tex] m \angle B = 22 \degree[/tex]
Explanation:
Given:
[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]
To find:
[tex]\sf m\angle B \: = ?[/tex]
Solution:
We know that,
sum of all the interior angle of triangle equals 180 degrees.
[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]
Measure of angle B is equal to x hence,
[tex] m \angle B = 22 \degree[/tex]
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simplify the expression.
3/[tex]\sqrt{7}-\sqrt{2}[/tex]
[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]
When paying down your student loan, a good strategy to pay down the principal is:
A. making payments in monthly installments.
B. paying more than the minimum payment each month.
c. beginning payments less than six months after leaving college.
D. paying less now and more later.
Answer:
It's A!
Step-by-step explanation:
A good strategy to pay down the principal of the student loan is making payments in monthly instalments, the correct option is A.
What is a Student Loan?A student loan is the amount borrowed by a student from a bank or any other financial institution for studies.
The borrowed amount is large and it becomes a burden if decided to pay all at once after studies on getting a job, a monthly payment of instalments is the right strategy.
To know more about Student Loan
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Here is a balanced hangar. A circle has a mass of 3 grams and a square has a mass of 2 grams. Which is the mass of a triangle? 3 grams. 7/5grams 9/6 11 grams
Answer:
Step-by-step explanation:
Givens
Circle: 3 grams Number: 1 right hand side Number LHS: 2
Square: 2 grams Number: 2 Number LHS: 5
Triangle: x Number: 5 Number LHS: 2
Formula
Mass RHS = Mass LHS
Solution
3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x Combine
3 + 2 + 5x = 6 + 10 + 2x
5 + 5x = 16 + 2x Subtract 5 from both sides
5-5+5x = 16-5 + 2x Combine
5x = 11 + 2x Subtract 2x from both sides
3x = 11 Divide by 3
x = 11/3
As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).
Pattern A follows the rule "add 3" and Pattern B follows the rule "add 4." Pattern A 1 4 7 10 13 Pattern B 5 9 13 17 21 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (4, 13) (1, 4) (1, 5) (13, 17) (10, 17) (7, 13)
Answer:
(1,5) (7,13) (10,17) (7,13)
Step-by-step explanation:
1 4 7 10 13
5 9 13 17 21
Judy earns $11.80 per hour working part time at a restuarant. How much money will she earn for 5 hours? NO DOLLAR SIGN IN YOUR ANSWER!The area of a rectangular city park is 15/56 square miles the width of the park is 3/7 miles what is length in miles of the park.
Answer:
Question 1: 59
Step-by-step explanation:
Question 1: 11.80*5=59
A farmer plants crops on 60 acres of land. The circle graph shows the percentages of land used for some of the different types of crops.
Land for Crops
Corn
30%
Squash
45%
Other
5%
Carrots
Based on the circle graph, how many acres of land are used for carrots? TEKS 7.6G
Answer:
12 acres
Step-by-step explanation:
30+45+5 = 80 so theres 20% left.
20% of 60 is 12