Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.
At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:
[tex]H_0: p \leq 0.01[/tex]
At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:
[tex]H_1: p > 0.01[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
From the sample, we have that:
[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]
Thus, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]
[tex]z = 4.49[/tex]
The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.
z = 4.49 has a p-value of 1.
1 - 1 = 0.
The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.
A similar problem is given at https://brainly.com/question/24912812
Graph the linear equation using the table method.
Answer:
y= -5x
x y
-2 10
-1 5
0 0
1 -5
2 -10
y= -3x+3
x y
-2 9
-1 6
0 3
1 0
2 -3
y= 2/3x +1
x y
-2 - 1/3
-1 1/3
0 1
1 5/3
2 7/3
Step-by-step explanation:
I hope it helps!
Find the value of x that makes the triangle a right triangle.
A.8
B.16
C.18
D.23
please help me answer with solution thanks
[tex]1. \frac{13}{15} \times \frac{2}{3} \\ = \frac{26}{45} \\ 2. \frac{4}{5} \times \frac{8}{16} \\ = \frac{4}{5} \times \frac{1}{2} \\ = \frac{2}{5} [/tex]
[tex]3. \frac{4}{24} \times \frac{2}{6} \\ = \frac{1}{6} \times \frac{1}{3} \\ = \frac{1}{18} [/tex]
[tex]4. \frac{1}{2} \times \frac{1}{5} = \frac{1}{10} \\ 5.1 \frac{1}{3} \times 4 \frac{4}{5} \\ = \frac{4}{3} \times \frac{24}{5} \\ = 4 \times \frac{8}{5} \\ = \frac{32}{5} \\ = 6 \frac{2}{5} [/tex]
3. Find the slope of the line
f(x)1/2x+8. Describe how the line slopes.
Answer:
slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=mx+b\\m=slope\\\\f(x)=\frac{1}{2} x+8\\\frac{(rise)}{(run)}=\frac{1}{2}[/tex]
the linear line has a positive slope that goes up by 1 unit and right by 2 units
In 7 minutes, Tom can type 56 words.
What is his rate in words per minute?
Answer:
56/7 words per min
Step-by-step explanation:
You have $350 in your bank account. One weekend, you spend 20% of your money on new
clothes. The next weekend you work to earn some money and increase your savings by 20%.
How much money do you have in your account now?
80% PO
Step-by-step explanation:
THANKS. SANA MAKA TULONG PO
the larger of two numbers is 4 more than twice the smaller number if the sum of numbers is 22 find the numbers
Answer:
Larger # is X and smaller is y
X = 16 and y = 6
Step-by-step explanation:
X = 4 + 2y
X + Y = 22
4 + 2y + Y = 22
3y = 18
y = 6
X = 4 + 2(6)
X = 16
Help plzzzzzzzzzzzzggdgdbd
Answer:
answers are
3/5b-7=a
w=2.5+h/3
Find the sum of the following fractions. Your answer must be a fraction in simplest
form: 2/3 + 1/12
a. 6/8
b. 6/24
c. 3/4
d.5/4
Please hurry I’m on a test
Answer:
c. 3/4
Step-by-step explanation:
The result is 3/4 = 0.75 = three quarters.
Find the least common denominator or LCM of the two denominators:
LCM of 12 and 3 is 12
For the 1st fraction, since 12 × 1 = 12,
Likewise, for the 2nd fraction, since 3 × 4 = 12,
Add the two like fractions:
1/ 12 + 8 /12 = 1 + 8= 9/ 12
9/12 simplified = 3/4
Please allow me to know if I helped by clicking thank you, rating or brainly.
Miss Hawaii
3 4/15 ÷ ( 8× 6 3/10 )
Answer:
0.06481481481
ok :) may be it will work
Answer:
7/108 if I'm not misreading the question.
I meed help but please no links its not helpful
Answer:
It's the 4th graph, to the bottom right corner.
Step-by-step explanation:
Since x is greater than 2, we are looking at everything shaded to the right of 2. The line is also important, if it's a greater than sign or a less than sign, the line will always be dotted. While a greater than or equal to sign, or a less than or equal to sign will always be solid.
Hopes this makes sense :)
a piece of wood is 13 feet long. The length of the longer piece is one more than twice the shorter piece. What is the length of each piece?
(Please explain the work)
A chord that passes through the center of a circle is a
Answer:
A cord passing through the centre of the circle is called as its diameter
Step-by-step explanation:
brainliest plz
Answer:
Diameter
Step-by-step explanation:
Is y=1/2x^3-4 Linear
Answer:
Yes, because x is rasied to the power of 3
Step-by-step explanation:
Linear algebra is the branch of mathematics concerning linear equations such as:
{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,}
linear maps such as:
{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},}{\displaystyle (x_{1},\ldots ,x_{n})\mapsto a_{1}x_{1}+\cdots +a_{n}x_{n},}
and their representations in vector spaces and through matrices.[1][2][3]
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions.
Linear algebra is also used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear map that best approximates the function near that point.
Given that P= 7x + 20 – 2y.
Find P when:
7 and y = 9
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of p is :
[tex]51[/tex]The solution is in attachment ~
Answer:
[tex]x = 7 \\ y = 9 \\ \\ \\ p = 7x + 20 - 2y \\ p = 7(7) + 20 - 2(9) \\ p = 49 + 20 - 18 \\ p = 51[/tex]
I hope I helped you^_^
solve this please fast
Answer:
For x
[tex]{ \rm{x + 130 \degree = 180 \degree}} \\ { \tt{ \{angles \: on \: straight \: line \}}} \\ { \rm{x = 180 \degree - 130\degree}} \\ { \boxed{ \rm{ \: x = 50\degree \: }}}[/tex]
For y:
[tex]{ \rm{y = x}} \\ { \tt{ \{isosceles \: triangle \}}} \\ { \boxed{ \rm{ \: y = 50\degree \: }}}[/tex]
For z
[tex]{ \rm{x + y + z = 180\degree}} \\ { \tt{ \{angle \: sum\: of \: a \: triangle} \}} \\ { \rm{50\degree + 50\degree + z = 180\degree}} \\ \\ { \boxed{ \rm{ \: z = 80\degree \: }}}[/tex]
6 (3x + 4) = 42
What does x equal
6 (3x + 4) = 42
18x + 24 = 42
18x = 42 - 24
18x = 18
18x / 18 = 18 /18
x = 1
Answer: x = 1
Use the Distributive property:
6(3x+4)=42
18x+24=42
18x=42-24
18x=18
x=1
Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
12
Select the correct answer.
Which of these graphs represents a function?
(Please help:()
Answer:
the second one
Step-by-step explanation:
no repeating x values
If Kevin's team scored 56 points and Rick's team scored 32 points, what
percentage of the total points was Kevin's? What percentage was Rick's?
Show this information as a fraction
Answer:
Answer:
What are three gifts you'd love to either give or revive for Christmas this year? Write about why these specific gifts are so important to give/receive.
Explanation:
Step-by-step explanation:
Answer:
Kevin's is 56/88 or 7/11. Rick's is 32/88 or 4/11.
Hope this helps!
Step-by-step explanation:
First, you need to figure out total points so 56+32 = 88. Now you can figure out the percentage that Kevin's team scored and the percentage Rick's team scored.
K: 56/88
56/88 = 0.6363636363636...
So Kevin's percentage of total points is 63.363...%
R: 32/88
32/88 = 0.3636363636...
So Rick's percentage of total points is 36.3636...%
Isosceles Right Triangle Reflection to prove ASA Congruence
What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
Did your triangle undergo rigid motion? Explain why.
Answer:
Yes they went through rigid motion
Step-by-step explanation:
The original triangle is the same as the one on the left but the only thing that changed was its place(translation) making it a RIGID MOTION
If a system of equations has no solution, what does the graph look like?
Answer:
Step-by-step explanation:
PLEASE HELP! WILL GIVE BRAINLIEST!
Find the equation of the line.
A line that is perpendicular to the graph 3x+2y=6 and contains the point (6,-3)
Answer:
y = 2/3x - 7
Step-by-step explanation:
BRAINLIEST PLZ HELP +15 POINTS REAL ANSWERS ONLY
Answer:
The bottom graph
Step-by-step explanation:
The reason for this is, it is the only graph with the slope of 1/3
You figure this out by starting from the origin and counting up until the next place where the line connects with two lines of the grid, then you count across to that cross point
It's known as counting the rise over run
I hope I explained that well, it was pretty bad but I hope this helped
Brainliest if it did help? :P
No pressure though. Have a great day!
7) 5x – 3y – 4z = 24
5x + 3y + 5z = 27
4x - 3y + 5z = 28
Answer:
Step-by-step explanation:
Find two numbers if their sum 16 and their ratio is 5:7
Answer:
6.666 or 6 2/3 and 9. 333 or 9 1/3
Step-by-step explanation:
5+7 = 12 so 1 part is 1
16/12 = 1.333.. = 1 1/3 1 part is changed when the total is higher
5 x 1 1/3 = 6.666 6 2/3
7 x 1 1/3 = 9. 333 = 9 1/3
Answer:
Step-by-step explanation:
Let A and B stand for the two numbers.
A + B = 16
A/B = 5/7
Rearrange the first and substitute:
A = 16-B
(16-B)/B = 5/7
(16-B) = 5B/7
5B/7 = (16-B)
5B = 7(16-B)
5B = 112 - 7B
12B = 112
B = 9.3333 or 9 1/3
A = (16 - 9.333) or (16 - 9 1/3)
A = 6.6667 or 6 2/3
A + B = 16?
9 1/3 + 6 2/3 = 16 YES
A/B = 5/7 ?
(6 2/3)/(9 1/3) = (20/3)/(28/3) = (20/3)*(3/28)
= (20/28) = 5/7 YES
What is the product of 329 and 65
Answer:
The product of 329 and 65 is 21385
Step-by-step explanation:
Product of 329 and 65
329 × 65 = 21385
Thus, The product of 329 and 65 is 21385
-TheUnknownScientist 72
Is this correct? (Last question) Btw giving BRAINLIEST (I'll try to) if you know little who little lad is BUT you have to say what he says!!
The expression [tex]2.4 \times 7[/tex] can be estimated by [tex]2 \times 7[/tex], so the answer would be roughly 14 here. I'm not sure where you got that '1' from.
Directly below that problem, we have the expression [tex]63.2 \times 0.78[/tex] which can be estimated by computing [tex]63 \times 1[/tex] which simplifies to 63. The '1' is from rounding to the nearest whole number.
Other than that, everything else looks correct on your worksheet.
Please help me identify the terms and like terms
Step-by-step explanation:
can you send a new picture I can't see the whole problem
Help please. I don't know what a vector is in this context
Answer: The vector relies on how the objects of where the magnitude and directions should lay on.
Step-by-step explanation:
So, I’ll help you with these 4 problems. So, for the vector 2/4, it would 2 units up and 4 units to the right. The second would be 5 units down and 6 units to the right. The third one would be 3 units up and 1 unit to the left. The last one would be 10 units downs and 12 units to the left. A simplified way of thinking of this is to just look at the signs of the number and see where the vector’s magnitude and directions would go in that point of view when you visual the graph or count it in your head.
PLEASE HELP ME WITH THIS QUESTION!!!!!
Answer:
we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square