A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon p equals 0.05 against Use . Find the P-value for the test.
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]
Assuming the following two triangles are congruent, solve for x if GR = 6x + 8 and QH = 9x - 1.
Answer: x = 3
Step-by-step explanation:
if two triangles are congruent, that means thy have the same sides and angles.
6x + 8 = 9x - 1
-6x +1. -6x +1
9 = 3x
divide both sides by 3 to get x by itself
x = 3
£810 is divided between Paul, Brian & Colin so that Paul gets twice as much as Brian, and Brian gets three times as much as Colin. How much does Brian get?
Answer:
Step-by-step explanation:
Step by step
Due to recent demand,Target is raising the price of a video game by 24%. If the game was previously sold for $25, what is the new price
Answer:
25*.24=6
25+6=31
Step-by-step explanation:
Original price =282$ %Markdown =10%
Answer:
Markdown is a reduction in the price of a product, made either by a commercial promotion, by a limited-time offer, by a discount due to a failure in the product, or any other situation that implies the realization of said reduction in the final price of the product for sale.
Thus, if the original price of the product is $282, and it has a markdown of 10%, to determine the discounted amount and the final price of the product, the following calculation must be made:
282 x 0.10 = X
28.2 = X
Thus, the discount on the original price is $ 28.20. Therefore, the final sale price will be $ 253.80 (since 282 - 28.20 is equal to that number).
You move right 7 units. You end at (8, 7). Where did you start?
Answer:
y=mx+b 58
Step-by-step explanation:
HELP I GIVE BRAINS TO RIGHT ANSWER
A store having on almonds and jelly beans. For 2 pounds of almonds and 12 pounds of jelly beans, the total cost is $45 For 5 pounds of almonds 3 pounds of jelly beans , the total cost is $18. Find the cost for each pound of almonds and each pound of jelly beans.
Answer:
3.50 per almonds
1.50 jelly beans
Step-by-step explanation:
five times the differce between twice a number and 4 is -10
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Translate
"Five" = 5
"times" is multiplication
"difference" is subtraction
"twice" means 2 times something
"a number" = x
"is" means equal
"-10" = -10
Step 2: Set up equation
5(2x - 4) = -10
Step 3: Solve for x
Distribute 5: 10x - 20 = -10Isolate x term: 10x = 10Isolate x: x = 1Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
The required correct answer is (a) x-intercept is (-8,0) and the y-intercept is (0,8).
What is the intercept in the equation?In the context of a linear equation, an intercept is a point where the graph of the equation crosses or intersects with one of the axes in a coordinate system. There are two types of intercepts:
x-intercept: the point where the graph crosses the x-axis. It occurs when y = 0. In other words, the x-intercept is the value of x when y = 0 in the equation.y-intercept: the point where the graph crosses the y-axis. It occurs when x = 0. In other words, the y-intercept is the value of y when x = 0 in the equation.Here,
To find the x-intercept, we set y = 0 in the equation y = x + 8 and solve for x:
0 = x + 8
x = -8
Therefore, the x-intercept is (-8, 0).
To find the y-intercept, we set x = 0 in the equation y = x + 8 and solve for y:
y = 0 + 8
y = 8
Therefore, the y-intercept is (0, 8).
So the correct answer is (a) the x-intercept is (-8,0) and the y-intercept is (0,8).
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What is the answer, view the picture above
How do you do this question?
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
A group of friends were working on a student film. They spent $570 on equipment,
which was 57% of their total budget. What was the total budget for their student film?
Answer:
1000
Step-by-step explanation:570 is 57 percent of one thousand because since 570 is 57 to the second power and 1000 is 100 to the second power
Answer:
1
Step-by-step explanation:
1
(-3 + 4² + 2 – 5)
(- 2)
Answer:
-20
Step-by-step explanation:
i think is -20 wait for someone else to answer if you really need it
Answer:
(-3+4^2+2-5)(-2)
(13+2-5)(-2)
(13+2)
(15-5)
(10)(-2)
-20
8/9 divided by 4
Need help will give brainlest
Answer: 8/36
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3/1
Step-by-step explanation:
When asked about favorite Thanksgiving leftovers, 9% of the people said turkey and 7/100 said mashed potatoes. Which food is more popular? How do you know?
Answer:
Turkey is more popular.
Step-by-step explanation:
If in the survey about which is the favorite food on Thanksgiving, 9% answered turkey and 7/100 answered marshed potatoes, the most popular food among both is turkey.
This is so because in the case of marshed potatoes, the fact that 7 out of 100 choose this food implies that 7% of those surveyed designate it as their favorite, which is less than the 9% who choose turkey as such.
Select an expression that is equivalent to 3(m - 5) + 1.
а
3m - 14
Ob
3m-4
3m + 16
Od
3m + 3
Answer:
а . 3m - 14Step-by-step explanation:
3(m - 5) + 1 =3m - 15 + 1 =3m - 14This is same as option a.
Answer:
A - 3m-14 is the answer(:
Which expression has a product of 32.76 and why?
Answer:
20.00+12.76 would give you that sum
Step-by-step explanation:
Help me please!! I forgot how to do it!
Answer:
i think the answer is 79
Step-by-step explanation:
im not really sure,
What is the greatest common factor of 72 and 90?
6
9
18
36
Answer:
It is 18.............
Answer:
______18________
Step-by-step explanation:
Find GCF.
Brainliest Plz
Can someone help I numbered them poorly also there will be someone left over numbers that weren’t used, I’ll mark brainliest if u give a small explanation
Step-by-step explanation:
1: -1
2: -2/3
3: 1
4: -3/2
5: -1/4
6: -4
7: 4
8: 1/4
9: 2/3
10: no slope
NEW AMONG US CODE
YHFZNF
Answer:
ok
Step-by-step explanation:
Suus
But Ok
[Sus music]
The altitudes of a triangle _________ meet inside the triangle. *
A. Always
B. Sometimes
C. Never
Answer:
sometimes
Step-by-step explanation:
The three altitudes in an acute triangle all lie in the interior of the triangle and intersect inside the triangle. Two of the three altitudes in a right triangle are the legs of the triangle.
Solve for x.
7(1x - 3) = 4(x + 5)
Answer:
x = 41/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
7(1x - 3) = 4(x + 5)
Step 2: Solve for x
Simplify: 7(x - 3) = 4(x + 5)Distribute: 7x - 21 = 4x + 20Subtract 4x on both sides: 3x - 21 = 20Add 21 on both sides: 3x = 41Divide 3 on both sides: x = 41/3Step 3: Check
Plug in x to verify it's a solution.
Substitute: 7(1(41/3) - 3) = 4(41/3 + 5)Multiply: 7(41/3 - 3) = 4(41/3 + 5)Subtract/Add: 7(32/3) = 4(56/3)Multiply: 224/3 = 224/3Here, we see that 224/3 is indeed equivalent to 224/3. ∴ x = 41/3 is a solution to the equation.
And we have our final answer!
Andre has a summer job selling magazine subscriptions. He earns $25 per week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. The least expensive pair of cleats Andre wants costs $68.
a.) Write an inequality to find the number of subscriptions he needs to sell so that he can buy a pair of cleats.
b.) Solve the inequality from part (a).
c.) Interpret (what does it mean) and graph the solution.
Answer:
68≥25+3x
x≥15
Step-by-step explanation:
the overall goal is to have $68, so the goal needs to be less then or equal to the weekly $25 plus each additional subscription at $3 (x represents the needed amount of subscriptions he sells) the inequality would look something like 68≥25+3x because he wants the money this week.
to solve the inequality you would subtract the 25 from the 68, leaving you with 43≥3x as the new inequality, now you need to divide both sides by 3. Which comes out to 14.33333..... since we cant sell a fraction of a subscription you must round up giving you the new inequality of x≥15
this means that in order for Andre to get the cleats this week, he must sell at least 15 subscriptions
hope this helped
a.) 25x + 3y ≥ 68
b.) x = 1, y = 43
c.) As x increases, y decreases
What is a linear inequality?A linear inequality is a mathematical relation which gives the range of values a variable or a function can take.
Given,
Wage per week= $25
Subscription earning = $3
Let x and y be the number of weeks and number of subscriptions.
Therefore, 25x + 3y ≥ 68
Hence, 25x + 3y ≥ 68 is the required inequality.
Let x = 1
Therefore minimum value of y = 43.
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Brianna needs to contact members of the softball league. She calls 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That evening, those additional people each call 4 others. How many people are called that evening?
Answer:
...
Step-by-step explanation:
Answer:
64 people
Step-by-step explanation:
in the morning, 4 people are called. Those 4 people call 4 more people, which brings it to 16 people called. Those 16 people then each call 4 others, which is 16 x 4. Giving you the answer of 64 people for the evening.
FYI, if the question asked how many people were called in total, you would add the 4 people from the morning, 16 people from the afternoon, and 64 people in the evening to get a total of 84 people called.
Hope this helps!
A submarine descends into the ocean at a
constant rate of 120 feet per minute. Which
equation best describes the depth of the
submarine, y, after x minutes?
5.82-1.76 rounded to the nearest whole number
Answer:
4.06 = 4
Step-by-step explanation:
Sam is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges an initial fee of $ 20 and an additional 60 cents for every mile driven.
Company B charges an initial fee of $47.50 and an additional 10 cents for every mile driven.
For what mileages will Company A charge no more than Company B?
Write your answer as an inequality, using m for the number of miles driven.
>
OSO
D20
Х
$
?
Answer:
m
Step-by-step explanation: