Complete Question
A manufacturer of nickel-hydrogen batteries randomly selects 100 nickel plates for test cells, cycles them a specified number of times, and determines that 11 of the plates have blistered. Does this provide compelling evidence for concluding that more than 10% of plates blister under such circumstances?
A) State H_0 and H_a, (5 pts)
B) Test the hypothesis using the P-Value approach at a significance level of 4%: (15 pts)
Expert Answer
Answer:
a)[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b) We fail to reject Null hypothesis
Step-by-step explanation:
From the question we are told that:
Sample size n=100
No. with blistered x=11
a)
Generally the Hypothesis given as
[tex]H_0:p=0.10[/tex]
[tex]H_a:p>0.10[/tex]
b)
Since p=0.10
Therefore
[tex]p'=\frac{11}{100}[/tex]
[tex]p'=0.11[/tex]
Test statistics
[tex]Z=\frac{p'-p}{\sqrt{p(1-p)}}[/tex]
[tex]Z=\frac{0.11-0.10}{\sqrt{0.10*0.90/100}}[/tex]
[tex]Z=1.33[/tex]
From table
[tex]P-Value =0.092[/tex]
Therefore
P-value >0.04 significance level
Hence,We cannot conclude that at [tex]4\%[/tex] significance level the proportion is greater than [tex]10\%[/tex]
We fail to reject Null hypothesis
What is the equation of a circle with center at (4,-6) and radius of 5?
Answer:
Since the centre of the circle is (−4,−5) and its radius =6
Then, the equation of the circle is
⇒(x−(−4))
2
+(y−(−5))
2
=6
2
⇒(x+4)
2
+(y+5)
2
=36
⇒x
2
+8x+16+y
2
+10y+25−36=0
⇒x
2
+y
2
+8x+10y+5=0
Step-by-step explanation:
Paki brainlilest na lng po salamaf
The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is
Given A.P = 3,8,13,...,253
Common difference = 8-3 = 5
The AP from the end = 253, 248,245,...,13,8,3
First term from the end = 253
Common difference = 248-253 = -5
We know that
an = a+(n-1)d
t20 = 253+(20-1)(-5)
→ t 20 = 253 +(19)(-5)
→ t 20 = 253-95
→ t 20 = 158
20th term from the end of the AP = 158
Can someone please help me with both questions I will mark u brilliant
1. We can simply multiply 6.50 by 2!
6.50 x 2 = 13
The book cost $13
2. The easiest way to do this is to convert the fractions into decimals.
1/4 = 0.25
1/5 = 0.2
1/8 = 0.125
Add them together: 0.575!
Subtract this from 1: .425
Multiply by 100: 42.5
42.5% is your answer!
Hope this helps!
Answer: B
Step-by-step explanation:
f(x) = 1/3x + 1 if x=-18
Answer:
7
Step-by-step explanation:
1/3*(-18) + 1 = 7
Just plug in the x which is -18, and solve with a calculator.
Hope this helps!
find the total amount due on the simple interest loan if the principle is $3000 with a rate of 5% for 10 years
Step-by-step explanation:
hope it will help you......
Help ASAP please. I really need the answer as soon as possible
Answer:
y intercept is 6 and the rate of change is Y=3x+6
Step-by-step explanation:
Answer:
y intercept = 6
rate of change = -4
Step-by-step explanation:
the line hits the y axis at 6 so that is the y intercept
The line falls 4 and goes over 1
I hope this helps!!
PLEASE HELPPP
ILL GIVE 5 STARS TY
Answer:
14
Step-by-step explanation:
4^2=16
16/2=8
8+6=14
Answer:
[tex]14[/tex]
Step-by-step explanation:
This equation would be easier to do if it was: [tex]6+\frac{4^2}{2}[/tex]
So first you have to cancel out: [tex]\frac{4^2}{2}[/tex] so that would become [tex]6+8[/tex]
Finally [tex]6+8=14[/tex]
There you go brainliest pls
HELP ME FAST PLZZ
Wendy has 5 1/3 of ribbon.
Part A: How many 2/3 -foot pieces can Wendy cut from the 5 1/3 feet of ribbon? Show your work. (5 points)
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
Answer:
Part A: 8 ribbons
Part B: see below
Step-by-step explanation:
first 5 1/3 = 16/3
[tex] \frac{16}{3} \div \frac{2}{3} \\ = \frac{16}{3} \times \frac{3}{2} \\ = \frac{48}{6} = 8[/tex]
the answer is 8 dude!
please help me with this!
•
•
•
Answer:
y=-2 is y intercept, graph opens upward like a smiley face
a=3 ,b=1, c=-2
Step-by-step explanation:
1.the graph opens upward since 3x^2 is positive
2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...
3(0)^2 + (0) -2 =y so y=-2 is y intercept
y=ax+bx+c
y=3x^2+x-2
a is represented by 3
b is 1 since x is positive
c is -2
a store have a 12.7% discount on $2002 furniture. what is the new price
Answer:
$1,747.75
Step-by-step explanation:
(12.7% = 0.127)
$2,002 x 0.127 = 254.25
$2,002 - 254.25 = $1,747.75
HELP ME PLEASEEEEEE I WILL GIVE BRAINLIEST
Answer:
DE, EW, WD
Step-by-step explanation:
From shortest line to longest line this would be the correct order.
P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =
Answer:
The answer is 0.6
Step-by-step explanation:
I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.
Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:
x + y + z = 0.8
y + z = 0.5
y = 0.3
If you solve this, you will get:
x = 0.3
y = 0.3
z = 0.2.
To get P(A), you x and y to get x + y = 0.6
Solve the following equation for d:cd – 8 = f
Answer: Well my friend, there is not enough info to sole the equation..
Step-by-step explanation:
A buyer of a new sedan can custom order the car by choosing from 5
different exterior colors, 3 different interior colors, 2 sound systems, 3
motor designs, and either manual or automatic transmission. How many
choices does the buyer have? /(10 pts)
Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this question:
The options are independent.There are 5 different exterior colors, hence [tex]n_1 = 5[/tex].There are 3 different interior colors, hence [tex]n_2 = 3[/tex].There are 2 sound systems, hence [tex]n_3 = 2[/tex].There are 3 motor designs, hence [tex]n_4 = 3[/tex].There are 2 transmission options, hence [tex]n_5 = 2[/tex].Then:
[tex]N = 5 \times 3 \times 2 \times 3 \times 2 = 180[/tex]
The buyer has 180 choices.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/25799621
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m=3/2
Step-by-step explanation:
Two points are shown
point 1: (0;-3). 4;3. -2-6
point 2: (2;0)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]
[tex]m = \frac{3}{2} [/tex]
A dolphin dives down into the ocean and resurfaces along a path that is modeled by x^2- 8x + 4y = 0, where the distances are in feet. How many feet is the dolphin from its starting point along the
water's surface?
8 feet
6 feet
4 feet
O feet
please guys i need help
Answer:
6ft
Step-by-step explanation:
The Dolphin is 8 feet apart from starting point along the water surface.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Equation: x²- 8x + 4y = 0
Now, solving for variable 'y' we get
y= (8x - x²) /4
y= 2x - x²/4
So, the Dolphin is 8 feet apart from starting point along the water surface.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ2
I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the formula just not how to get the height
Answer:
18 square units
Step-by-step explanation:
When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.
Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...
A = 1/2bh
A = 1/2(6)(6) = 18 . . . . square units
_____
Alternate solution
If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.
The length of LK is ...
d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10
The distance to line LK can be found by writing the equation of the line LK in general form:
4x -3y -7 = 0
Then the distance formula for point (x, y) is ...
d = |4x -3y -7|/√(4^2 +3^2)
d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6
Using the area formula with these dimensions gives ...
A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units
Answer:
18 square units
Step-by-step explanation:
pls pls pls mark me as brainliest
CAN YOU PLS HELP MEEEE
Answer:
10x−2y
Step-by-step explanation:
Just ask!
Hope this helps. :)
[tex] \: \: \: \: \: \: [/tex]
[tex]10x - 2y[/tex]
Step-by-step explanation:
[tex]8x - 2y + x + x[/tex]
Collect like terms[tex] = \: \: \: \: 10x - 2y[/tex]
hope it helpsThe distance between a 16 foot tall flagpole and a 40 foot tall tree is equal to the sum of the lengths of their shadows. If the flagpole casts a 18 foot shadow, find the distance from the flagpole to the tree.
Answer:
The distance from the flagpole to the tree is 27 ft
Step-by-step explanation:
Pls help Don’t put the answers in files thank you
Answer:
hmmm
Step-by-step explanation:
hmmm
write the L.C.M of 5,8
From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.
Required Answer :-2 | 5, 8
_______
2 | 5, 4
_______
2 | 5, 2
_______
5 | 5, 1
_________
1, 1
2×2×2×5 = 40
Additional information :-We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division
Pls help I’ll brainlest ASAP and add extra points I’m failing
Step-by-step explanation:
you drew already the right things, you have everything.
so, what is the problem ?
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.
so, for the 2 marked points you showed correctly the differences :
x changes by +8 (from -4 to 4).
y changes by -2 (from 3 to 1).
so the slope is -2/+8 = -1/4
the y-intercept we also see directly in the chart : +2.
Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’
Answer:
how do I give the coordinates of the image
Step-by-step explanation:
if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)
Answer:
4
Step-by-step explanation:
I need help with this question
Your school made it to the playoffs
in football and is selling t-shirts to
Celebrate their success for $10 each. The cost
to make the shirts is 5 each plus a one
time set ur fee of $20.
Answer:
I dont quite understand the question could you clarify? What are you trying to ask? how many shirts to break even? Im not quite understanding I'd be more than happy to help if you re worded the question!
Step-by-step explanation:
PLS HELP
A line passes through (5, 3) with a slope of 3/5. Plot at least 3 points on this line
Using the distance formula, d = √(x2 - x1)2 + (y2 - y1)2, what is the distance between point (-3, 1) and point (4, 2) rounded to the nearest tenth?
Answer:
√(4 - ( - 3))^2 + (2 - 1)^2
√(4 + 3)^2 + (2 - 1)^2
√49 + 1
√50
7.07 = 7.1 units
Which function is graphed below?
Answer:
y=arcsec(x) (C)
Step-by-step explanation:
The graph of y=arcsec(x) is equal to the graph shown in the question
could you help me with this? its an ss here:
