Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
[tex]H_o : p = 0.05[/tex]
Versus
[tex]H_1 : p \ne 0.05[/tex]
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is [tex]p-value = 0.5949[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
[tex]\^ p = \frac{k}{n}[/tex]
=> [tex]\^ p = \frac{13}{300}[/tex]
=> [tex]\^ p = 0.0433[/tex]
Generally the standard Error is mathematically represented as
[tex]SE = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.05(1- 0.05)}{300} }[/tex]
=> [tex]SE = 0.0126[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{SE}[/tex]
=> [tex]z = \frac{0.0433 - 0.05 }{0.0126}[/tex]
=> [tex]z = -0.5317[/tex]
From the z table the area under the normal curve to the left corresponding to -0.5317 is
[tex](P < -0.5317 ) = 0.29747[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z < -0.5317 )[/tex]
=> [tex]p-value = 2 * 0.29747[/tex]
=> [tex]p-value = 0.5949[/tex]
Gina Wilson unit 3: homework 6: Slope intercept form and standard form HELP
Answer:
1.) 2x-y=-7 --> y=2x + 7
2.) 5x+3y=12 --> y= -5/3x + 4
3.) x-y=1 --> y= x- 1
4.) x-3y=-15 --> y=1/3x + 5
5.) 8x-10y=20 --> y=4/5x - 2
6.) 14x+6y=36 --> y=-7/3x+6
Step-by-step explanation:
Hope this helped.
Please help me with this thanks
Answer:
no
Step-by-step explanation:
No, because none of the factors of 29 equal to -1
Part 1
Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.
Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.
Part 2
Draw a diagram of the scenario you created in Part 1. You may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. Be sure to label all parts and dimensions of the drawing.
Part 3
Solve the question that you posed in Part 1. Show all of your steps in answering the question.
For this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps.
Answer:
Step-by-step explanation:
1. You have a ladder that is 10 feet tall and you place it on the ground 6 feet away from your house, which you plan to paint. How far up will the ladder reach? (Ans: 8 feet)
2. I think drawing a diagram of this is pretty self-explanitory. Just remember to lable the ladder as 10 feet, the ground as 6 feet, and the house as 8 feet.
3. There wasn't really an equation in the question, but if you draw a triangle you'll need to solve for the third side. It would be 8 feet, but if you consider the pythagoran therom:
100ft(c^2, the hypotenuse, or the ladder)- 36 ft(a^2, or the ground)= 64, the square root of 64 would give you 8. You can write it out symbolically, but I'm typing and there's not much I can do on here.
Solve. 7x−6=8+5x Enter your answer in the box. x =
Answer:
x = 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
7x - 6 = 8 + 5x
Step 2: Solve for x
Subtract 5x on both sides: 2x - 6 = 8Add 6 to both sides: 2x = 14Divide 2 on both sides: x = 7Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(7) - 6 = 8 + 5(7)Multiply: 49 - 6 = 8 + 35Subtract/Add: 43 = 43Here we see that 43 does indeed equal 43.
∴ x = 7 is a solution of the equation.
Answer
7(7x)-6=8+5(7x)
49-6=8+35
43=43
43
Ashley went out to eat dinner, and the meal cost $25.00. If Ashley received a 40% discount, what was the
total value of the discount?
Answer:
10$
Step-by-step explanation:
i think is 1 dollars because if u multiply 25 by 40% it will give you ur answer wait till someone else answers
Ashley got $10 discount, at 40% discount on the meal worth $25.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
The cost of meal = $25.00
The discount given to Ashley on meal = 40%
The total value of discount = 25 x 40/100
= 1000/100
= 10
The total discount given by shopkeeper is $10.
To know more about Percentage on:
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Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many liters did they make? If they charge $ 2.00 per liter.
How much money will they make if they sell everything?
The midpoint of GN is (9, 11). One endpoint is N(7,5). Your friend calculates the coordinates of endpoint G as (15, 13). What is his error?
A. He switched the x and y coordinate in the Midpoint Formula.
B. He use the midpoint as one of the endpoint
C. His calculations using the Midpoint Formula were not simplified correctly
D. He found the midpoint between N and the midpoint of GN
Correct Answer: He switched the x and y coordinates in the Midpoint Formula.
Solve: 2x - 3 = 4x + 5
what number is 33 1/3 of 66
ok so ik that the answer is 22 I think but I wanted to know how to set the answer up.
Answer:
22
Step-by-step explanation:
When youre trying to find a fraction of a number, you can divide the number by the fraction.
For instance:
1/3 of 66: 1/3 × 66 = 22
1/2 of 66: 1/2 x 66 = 33
Find the distance between the pair of points.
(0, -7) and (-3, -7)
Answer:
[tex]d =3[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (0, -7)
Point (-3, -7)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-3-0)^2+(-7+7)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-3)^2+(0)^2}[/tex]Evaluate: [tex]d = \sqrt{9}[/tex]Evaluate: [tex]d =3[/tex]In the number 3.625, 3 represents ones, 6 represents tenths, 2 represents hundredths, and 5 represents thousandths. In which numbers does 6 represent 110 as much as it represents in the number 3.625? Select three that are correct.
5.362
3.562
6.253
5.236
2.563
Answer: A c and D ✨
Step-by-step explanation: bc it is xo
Simplify each algebraic expression by combing like terms 7x^2-5x+10x-8x^2
Answer: -x^2 + 15x
Step-by-step explanation:
WILL MARK BRAINLIEST Given angle SUN is congruent to angle TAN, we can conclude that s=a, su=tn sn=tn, un=ta, or t=u
Answer:
SN=TN
Step-by-step explanation:
When determining congruency (if that's a word) S will always equal T
U will always equal A and N will always equal N
So SN= TN
Colton's Gym charges an initiation fee of
$40 plus a monthly fee of $50. Which
of the equations below shows the cost
c of joining the gym for m months?
O c = 50 + 40m
O c = 40 + 50m
C + 40 - 50m
Answer:
c = 40 + 50m
Step-by-step explanation:
40 is a constant, it is not affected by the number of months the person works out at the gym for.
There is a monthly fee of $50. So, every month Colton gets charged $50, so this is the variable.
The total cost would be represented by the equation c = 40 + 50m then.
Let's look at this using a number for m.
If Colton went to the gym for 2 months then we can set up the equation like this:
c = 40 + 50(2)
c = 40 + 100
c = 140
Therefore he spends a total of $140 for 2 months.
Hope this helps!
- Kay
Based on the information in the diagram, can you prove and explain that the figure is a
parallelogram?
a. Yes; both pairs of opposite sides are congruent.
b. Yes; both pairs of opposite angles are congruent.
c. Yes; one pair of opposite sides are both parallel and congruent.
d. Yes; one pair of opposite angels are congruent and one pair of opposite sides are congruent.
e. No; you cannot prove that the quadrilateral is a parallelogram.
0=x^2+4x+1. Khan academy
In the morning, a farm worker packed 3 pints of berries every 5 minutes. In the afternoon, she packed 4 pints of berries every 6 minutes. What was the difference between her morning and afternoon packing rates in pints per hour?
Answer:
1/15
Step-by-step explanation:
7th grade math help me pleaseee
A = 8
B = 50
Step-by-step explanation:
Answer:
A= 2^4= 16
B=10^5=100,000
Step-by-step explanation:
A= 2*2=4*2=8*2=16
B=10*10=100*10=1000*10=10,000*10=100,000
Hope this helps!! Please consider marking brainliest! Have a good one!!
Can someone show an example of Inverses of Functions
Because I do not understand that subject
Answer:
I believe you mean algebra and inverses when you change it to solve inequalities.
Step-by-step explanation:
Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")
At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.
So, -3 + 4 is the same thing as 3 - -4.
3 - 4 = -1
-3 + 4 = 1
Tip: When subtracting a negative number, the answer is likely to go up instead of down.
I hope this helps! I did my best :)
Estimate a 15% tip on a dinner bill of $79.42 by first rounding the bill amount to the nearest ten dollars.
Answer:
I don't know if this is right but
Tip Total: $ 12
Total (Bill + Tip): $ 92
Sorry if this is wrong
Step-by-step explanation:
Answer:
$12 tip
Step-by-step explanation:
For this problem let's first round our bill amount to the nearest ten dollars. So $79.42 becomes $80.00. From here we will simply need to find 15% of $80.00 which can be found simply through multiplication as follows:
$80.00 * 0.15 = ?
$80.00 * 0.15 = 12
So, we can say the estimated 15% tip for the bill is $12.
Cheers.
Find the slope of the line that passes through (4, 9) and (6, 10).
Answer:
y = 4/5x + 14/5
Step-by-step explanation:
yee
3 times the sum of one third of a number and 8 is 11
Answer:
3([tex]\frac{1}{3}[/tex]x+8)=11
Step-by-step explanation:
It says 3 times the sum of one third of a number and 8, so we group that expression into the parentheses. Since there is a key word is, we need to put an equal sign.
The table and equation represent different linear relationships. Which one has the greater rate of change? Explain your reasoning.
Answer:
The equation y=4x-1 has a greater rate of change
Step-by-step explanation:
to find rate of change for the table, you use [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
so, [tex]\frac{-5-(-7)}{-2-(-3)}[/tex] = [tex]\frac{2}{1}[/tex] = 2
So the rate of change for the table is 2 while the rate of change for the equation is 4. 4>2 so the equation has a greater rate of change.
If 5, 8 are two adjacent terms in an arithmetic sequence (in that order), then the next term is
Answer:
11
Step-by-step explanation:
Given that:
Two adjacent terms of an arithmetic sequence are given as 5, 8.
To find:
The next term = ?
Solution:
First of all, let us learn about an arithmetic sequence and its property.
An Arithmetic sequence (sometimes known as Arithmetic Progression or an AP), is a sequence in which there is a common difference between every two terms.
Suppose, an arithmetic sequence is:
[tex]a, b, c, d[/tex]
Then common difference = [tex]b-a=c-b=d-c[/tex]
Let the next term in the given sequence be [tex]x[/tex].
Then as per the property of an Arithmetic sequence, we can say:
[tex]8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}[/tex]
Therefore, the answer is: 11
A game board consists of 64 squares that alternate in color between black and white. The figure below shows square $P$ in the bottom row and square $Q$ in the top row. A marker is placed at $P$. A step consists of moving the marker onto one of the adjoining white squares in the row above. How many 7-step paths are there from $P$ to $Q$ ? (The figure shows a sample path.)
9514 1404 393
Answer:
A) 28
Step-by-step explanation:
Of the seven moves, 3 must be to the left, and 4 must be to the right. That is, we end up exactly one space right of where we started, so there must be exactly one more move to the right than to the left.
The number of permutations of LLLRRRR is 7!/(4!·3!) = 35. Of those, several must be eliminated, because they result in a path that goes off the right side of the board.
The discounted sequences are ...
LRRRRLLRLRRRLLRRLRRLLRRRLLLRRRRLLRLRRRLRLLRRRRLLL"With these 7 possibilities eliminated from the list, there are 35 -7 = 28 possible paths from P to Q.
PLLLLLZZZZZ HEEEEEELP
leaves on deciduous trees turn bright colors in the fall due to:
a
Chemicals in the leaf
b
nutrients getting cut off by the tree to the leaves
c
Cold weather
d
too much water
Answer:
a i think
Step-by-step explanation:
Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups
define photosynthesis
Step-by-step explanation:
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
the area of a face of a cube is 144cm^2 . find its volume
Step-by-step explanation:
1 face area = length x width (aka length x length since cube)
therefore 1 side = ±√144 cm = 12 cm or - 12cm (rej as length > 0cm)
volume = length x width x height = 12 x 12 x 12 = 1728cm^3
Topic: Mensuration
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
six notebooks cost 720- Find
the cost of 5 notebooks
Answer:
$600
Step-by-step explanation:
first, you need to find the unit price which is found by dividing 720 by 6.
so, 720/6 is 120
then, to find the cost of 5 notebooks, you just need to multiply 120 by 5
which would get you 600.
therefore, the total cost of 5 notebooks is $600.
i hope that helps :)
Answer:
600
Divide 720 from 6
= 120
120 x 5 = 600