9514 1404 393
Answer:
N = 4M44Step-by-step explanation:
If Joe reads 4 novels each month, the number of novels read will be 4 times the number of months that have passed.
N = 4M
__
When M=11, we have ...
N = 4×11 = 44
Joe needs to read 44 novels in 11 months.
A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than 5% defective items, it needs repair. A random sample of 300 items taken from the production line contained 27 defective items. Test at the 1% significance level if the percentage of defective items produced by this machine is greater than 5%.
Answer:
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
Step-by-step explanation:
A machine, when working properly, produces 5% or less defective items.
This means that the null hypothesis is:
[tex]H_0: p \leq 0.05[/tex]
Test if the percentage of defective items produced by this machine is greater than 5%.
This means that the alternate hypothesis is:
[tex]H_a: p > 0.05[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.05 is tested at the null hypothesis:
This means that [tex]\mu = 0.05, \sigma = \sqrt{0.05*0.95}[/tex]
A random sample of 300 items taken from the production line contained 27 defective items.
This means that [tex]n = 300, X = \frac{27}{300} = 0.09[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}[/tex]
[tex]z = 3.18[/tex]
Pvalue of the test:
Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.
Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993
1 - 0.9993 = 0.0007
The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.
PLEASE Help I don’t understand!!! Create a system of two equations with the solution (2,7)
Answer:
x+y=9
x+2y=16
Step-by-step explanation:
x=2, y=7
2+7=9
so that be the first equation; x+y=9
2 + 2(7)= 16
so that would be the second equation; x + 2y = 16
Select all possible solutions for 2x + 7 ≤ 3x - 5.
Help this is due tomorrow!
Answer:
12,18,24,107, [I cant see the rest]
Step-by-step explanation:
x ≥ 12
Answer:
12
Step-by-step explanation:
Pls help me complete this
Answer:
415
Step-by-step explanation:
you would find out what the percentage of the first amount then multiply that decimal by 1200.
83/240
.3458333333333
ans x 1200
415
ASAP it’s due tomorrow ASAP
Answer:
D
Step-by-step explanation:
in a polynomial expression, a term can be
Answer:
more than three terms it has to be
Tickets to a play cost $8.00 each.
Write an expression to find the
total cost of "b" boys &
"g" girls.
Answer:
Step-by-step explanation:
b + g = 8x
y = 4x-9
y = x-3
Which method and why? Solve, shoving all work
Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
==============
The solution is (2,-1)
The coordinate grid shows the cost of different numbers of book marks. How many cents do 4 bookmarks cost?
Answer:
70 cents
Step-by-step explanation:
Answer:
70 cent is the answer
Step-by-step explanation:
Simplify 3(x+4)
A.3(x+4)
B.7x
C.12x
D.3X+12
Answer:
D. 3x + 12
Step-by-step explanation:
Distribute the 3 inside.
3 * x = 3x
3 * 4 = 12
3x + 12
Answer:
3x+12 (D)
Step-by-step explanation:
3(x+4)
=(3)(x+4)
=(3)(x)+(3)(4)
=3x+12
Hope this helps!
The Ferris wheel at the State Fair of Texas is 450 feet across the center. How many feet would a person travel if they rode around the ferris wheel 6 times? PLEASE give a explanation
Answer:
the number of feet in the case when the person rode around the ferris wheel is 2,700 feet
Step-by-step explanation:
The number of feet in the case when the person rode around the ferris wheel is shown below:
Given that
There is 450 feet across the center
And, it is 6 times rounded
So, the number of feet is
= 450 × 6
= 2,700 feet
Hence, the number of feet in the case when the person rode around the ferris wheel is 2,700 feet
Please help Im stuck ty ...
Answer:
1500
Step-by-step explanation:
1/4t=500lbs so 500x3=1500
Please someone help! I've been struggling with this assignment! SHOW ALL WORK.
- Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
a) Write a recursive rule for this series:
b) Write an explicit rule for this series:
c) Using the explicit formula, find the number of chairs in row 5 (show work)
d) The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium.
Answer:
The series:
10, 16, 22, ...This is an AP with the first term a₁ = 10 and common difference d = 6
a) Recursive formula:
a₁ = 10,aₙ = aₙ₋₁ + 6b) Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4c) n = 5 ⇒ a₅ = ?
a₅ = 6*5 + 4 = 34d) S₁₇ = ?
Sₙ = n(a₁ + aₙ)/2 = n(2a₁ + (n - 1)d)/2S₁₇ = 17(2*10 + 16*6)/2 = 986Step-by-step explanation:
sn=15+(n-1)2
the 20th row n=20 so the seats are
15+(20-1)(2)=53 seats
Explicit formula:
aₙ = a₁ + 6(n - 1) ⇒ aₙ = 10 + 6n - 6 ⇒ aₙ = 6n + 4
Write a formula to illustrate this arithmetic sequence:
Solve for x 2/3x=4/9
Kayla gets paid $10 for raking leaves and $15 for moving the lawn of each of the neighbours in her subdivision. This year she mowed lawns 10 times more than she raked leaves. In total she made $800 for doing both. How many times did she rake leaves?
Answer:
I think it's 65
Step-by-step explanation:
15*10= 150
? Answer it, this is a shape
Answer:
Yes
Step-by-step explanation:
It is gapless and is connected on all sides.
Hope I helped! If I am correct please mark brainleist! :)
solve the equation px=27
I assume that you want to solve for x.
If so, just divide both sides by p.
px/p = 27/p
x = 27/p
please help me:(***********
Answer:
A:
Square
Rectangle
Parallelogram
Quadrilateral
Rhombus
Step-by-step explanation:
All sides and angles are equal so it is a square
All angles are 90 degrees so it is a rectangle (eliminate C)
Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)
It has 4 sides so it is a quadrilateral (eliminate B)
Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.
Opposing sides are congruent so it is a rhombus.
Need help with this one....
Answer:
(3, -2) (8,3) first box
(6,26) (2,10) second box
(5,-1) (1,1) third box
Step-by-step explanation:
You plug the left number into the equation as x and then do the math to find what y should be equal to. This number should be equal to the right number in the parenthesis.
(01.02 MC)Tom had $56. He bought a soda for $2 and 2 cookies for $3. Which expression correctly shows the total money Tom has left?
Answer:
48$ Left
Step-by-step explanation:
2$ = Soda
2 x 3 = 6$ = cookies
6$ + 2$ = 8$
56 - 8 = 48$
URGENT GIVING BRAINLY and pts
Answer:
I think it's C.
Convert the following polar-form vectors of the form ⟨r,θ⟩ into component-form vectors of the form ⟨x,y⟩. Your answers should be in the form "< #, # >". ⟨13,50∘⟩= ⟨1.77,250∘⟩= ⟨5.8,150∘⟩=
9514 1404 393
Answer:
a) <8.356, 9.959>
b) <-0.605, -1.663>
c) <-5.023, 2.9>
Step-by-step explanation:
Many calculators can perform polar ⇔ rectangular conversion. Attached is the result from one of them. Of course, you can also program a spreadsheet to do it. (The ATAN2( ) function is useful for finding the correct angle.)
If you want to do these calculations by hand, the conversion is ...
<r, θ> ⇒ <r·cos(θ), r·sin(θ)>
In the attached, the rectangular coordinates are shown as complex numbers. The imaginary component is the y-component of the vector.
Which of the following could be the first step in solving the equation below? 6^x=24
A. log. 6^x=24
B. 1/6•6^x=1/6•24
C. 6√6x=6√24
D. log 6^x=log 24
Answer:
D
Step-by-step explanation:
22. Tell which line below is the graph of each equation in parts (a)-(d).
Explain.
a. 2x + 3y=9
b. 3x - 4y = 12
c. x-3y=6
d. 3x + 2y=6
PLEASE HELP TYYY!
What is 2/5 × 4? (Please help me)
Answer:
Exact Form: 8/5
Decimal Form: 1.6
Mixed Number Form: 1 3/5
Step-by-step explanation: Simplify the expression.
brainliest or a thank you pls :)
Can someone help me out please?
Need answer asap will give brainliest.
Answer: 4th Graph
Step-by-step explanation: (x-3, y+2) is the idea
PLS HELP ME ASAP! Dont answer for points & no links for other sites or i will report you. I'm running out of points plss
Need answer asap, correct answer gets brainliest.
Answer:
caca water
Step-by-step explanation:
Help me here please