The probability of observing at least one Type I Error is 16.67%.
What is probability?Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. It is a measure of how likely it is that something will happen, given the conditions and information available. Probability is the foundation of statistics, which is the science of making decisions when faced with uncertainty. Probability can be used to make predictions about future events and to help us understand how likely various outcomes are.
A Type I Error, also known as a false positive, occurs when an experiment incorrectly rejects a true null hypothesis. This probability can be calculated by multiplying the probability of a Type I Error occurring in each test (0.05) three times, yielding 0.125 (or 12.5%).
We then add 1 minus that probability, which yields 0.167 (or 16.67%). In other words, the probability of observing at least one Type I Error in the three tests is 16.67%.
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A company has developed a new video game console. After completing cost analysis
and demand forecasts, the company has determined that the profit function for the
new console is p(c) = -250c^2 + 70,000c - 4,570,000, where c is the number of
consoles sold. What is the domain of the profit function?
a. all integers
b. all rational numbers
c. all integers greater than or equal to zero
d. all rational numbers greater than or equal to zero
Answer: C
Step-by-step explanation:
The domain of the profit function is (c) all integers greater than or equal to zero.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given that,
A company has developed a new video game console.
After completing cost analysis and demand forecasts, the company has determined that the profit function for the new console is,
P(c) = -250c² + 70000c - 4,570,000
where c is the number of consoles sold.
Here domain is the number of consoles sold or c.
The number of consoles cannot be negative and fractions.
So the domain does not contain all integers and all fractional numbers which are rational numbers.
So the domain is all integers greater than or equal to zero.
Hence the correct option is (c).
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For an art project, Jack used a piece of rope that was of a foot long. Daniel used a piece of rope that was 5 times as long. How long was Daniel's piece of rope?
Answer:
5 feet aka 60 inches
Step-by-step explanation:
A 5 feet
Multiply 12 times 5
Which is equal to 60 inches
5 feet= 60 inches
A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short
Answer:
The answer is "Fail to reject [tex]H_o[/tex], because [tex]w_o[/tex] is sufficient evidence for claim".
Step-by-step explanation:
[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]
Test Statistic:
[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]
[tex]dt=17\\\\[/tex]
p-value[tex]=0.6028[/tex]
Easy question look at the photo
Answer:
C = 62
Step-by-step explanation:
Please guys help me please
Dad spends $227.06 at the grocery store,$95.55 at the shoe store,and $35.16 at the dry cleaners how much did dad spend in all?
Answer:
$357.77
Step-by-step explanation:
Add all of the figures together to find the answer
227.06 + 95.55 + 35.16 = 357.77
Please awnser this for me
Answer:
B. 15 y +8 x/ 6 x y
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Answer:
B
Step-by-step explanation:
Jenelle draws one card from a standard deck of 52 cards.
Determine the probability of drawing either a jack or a ten? Write your answer as a reduced fraction=
Determine the probability of drawing either a jack or a diamond? Write your answer as a reduced fraction=
13
+
4
−
1
52
=
16
52
=
4
13
≈
0.3077
Explanation:
In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).
Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 7.
With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).
Our denominator here is 52 - the number of cards from which we can pull 1.
Our numerator is both all the diamonds, 13 cards, and all the sevens, 4 cards, but we need to subtract 1 to account for the double counting of the 7 of diamonds.
The probability of drawing a jack or ten from a deck of cards is 2/13.
The probability of drawing a jack or a diamond is 15/52.
How to calculate probability?
Fact: A deck of cards has 52 cards and in it:
13 cards of diamond13 cards of heart13 cards of clubs13 cards of spadeAnother classification:
4 cards each of A,2,3,4,5,6,7,8,9,10,king,queen and jack And those 4 cards consist of a diamond, heart, club and spade card.Now coming to the question:
We have 4 jack card and 4 10 cards, therefore total cards =8Probability: Desired outcomes/total outcome
=8/52
=2/13
We have 13 diamond cards( in which 2 jack cards are already included) and another 2 jack cards.therefore, total cards desired=13+2=15
Probability:15/52
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Can someone please help thx:)
Answer:
x = 35
Step-by-step explanation:
Angles sum of a triangle = 180
That being said we want to create an equation to solve for x
180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )
now we solve for x
step 1 combine like terms
2x + x = 3x
90 - 7 - 8 = 75
now we have 180 = 75 + 3x
step 2 subtract 75 from each side
180 - 75 = 105
75 - 75 cancels out
Now we have 105 = 3x
step 3 divide each side by 3
105 / 3 = 35
3x/3=x
we're left with x = 35
Which choice is equivalent to the quotient below?
What's equivalent to 5x + 10 and none Equivalent to 5x + 10
Answer:
2(5x+6)-9
Step-by-step explanation:
That's the answer to the problem
I need some help!! I wil try to give brainliest!!!
If you can buy 48 plantains for $24, then how many can you buy with $4?
Answer:
Step-by-step explanation:
I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.
Hope this helps!
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
can someone help please
pls help 10 ptsssssssssssss
Find the radius of circle G below.
Order the sides of each triangle from shortest to longest
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
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PLEASE HELP!!
Carlos is driving to Phoenix. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of -0.85 . See the figure below.
Carlos has 60 miles remaining after 33 minutes of driving. How many miles were remaining after 25 minutes of driving?
Answer:
See below
Step-by-step explanation:
you have to use the equation y=mx+b
We know the slope is -0.85
we can plug in -0.85 for m to give us
y=-0.85x+b
Then we can use the 60 miles and 33 minutes by plugging them in for x and y
60=-0.85*33+b (multiply the numbers)
60=-28.05+b (add 28.05 to both sides to isolate the variable)
b=88.05
Then, use b with the slope and plug in the 25 minutes for x
y=-0.85*25+88.05
y= 66.8 miles
hope this helps : D
The graph f(x)=x^1/3 is symmetric about the y-axis . True or false justify your answer
Answer:
False
Step-by-step explanation:
Upon graphing the function with any given graphing calculator, the function does not have symmetry across the y axis, as the graph is going below the x axis on one side of the y axis, and above the x axis on the other side of the y axis.
13. Which equation represents y = x2 - 10x + 30 in vertex form?
y = (x - 5)2 + 5
y = (x – 5)2 + 55
y = (x – 5)2 - 5
y = (x - 5)2 + 30
Answer:
y=(x-5)2-5 it's your answer plz make me barinly least
HELP PLEASE IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
If I did this right the perimeter is 83.7 and the area is 257.1
Explanation:
the perimeter is all sides added so 15+8+8+6.7+20+26 = 83.7
To make adding the area easier, we would separate it into different shapes.
Area of a Triangle: (b x h)/2
(15x9)/2 = 45 since it's a triangle
8x9 = 72
20x6 = 120
(6x6.7)/2 = 20.1 since it's also a triangle
45 + 72 + 120 + 20.1 = 257.1
Please help
I don't know how to salve it
Answer:
20
Step-by-step explanation:
trust me
Answer:
51.2
Step-by-step explanation:
Since it's a percentage all you have to do is multiply 32 by 1.6 because a 100 percent is equivalent to 1 so 160 percent is equivalent to 1.6.
A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.
Answer:
$44104
Step-by-step explanation:
Given data
Cost = $29800
Rate= 4%
Time= 10years
Applying the formula below, we can find the cost after 10 years as
A=P(1+r)^t
A= 29800(1+0.04)^10
A=29800(1.04)^10
A=29800*1.480
A=$44104
Hence the new cost is $44104
Find the Mean, Median, Mode and Range of the following data. 17, 11, 12, 8, 16,6
Answer:
Mean: 11.822.
Mode: 17,11,12,8,16,6.
Median: 12.
Step-by-step explanation:
Hope this helps! The mode is the number that occurs most in the set and since they all show up once the mode is all of them.
Find the measure of angle 1.
Answer:
Hi! I would LOVEEE to help you...But, there is no picyure or anything to see angle 1.
Step-by-step explanation:
6 dividido entre 3,978
Answer:
0.0015082956 es la respuesta pero el valor aproximado sería ≈ 0.0015083
Please help with this question ASAP! Thanks!
Answer:
The equivalent expression is [tex]8.25\cdot y -14[/tex].
Step-by-step explanation:
Let [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex], we proceed to simplify the expression by like terms and other algebraic operations:
1) [tex]4\cdot (1.75\cdot y -3.5)+1.25\cdot y[/tex] Given
2) [tex][1.75\cdot y +(-3.5)]\cdot 4 + 1.25\cdot y[/tex] Commutative property/Definition of subtraction.
3) [tex](1.75\cdot 4) \cdot y +(-3.5)\cdot 4 + 1.25\cdot y[/tex] Distributive and associative properties.
4) [tex]7\cdot y +(-14)+1.25\cdot y[/tex] Definition of multiplication/[tex]a\cdot (-b) = - a\cdot b[/tex]
5) [tex](7+1.25)\cdot y -14[/tex] Commutative and distributive properties/Definition of subtraction.
6) [tex]8.25\cdot y -14[/tex] Definition of addition/Result
The equivalent expression is [tex]8.25\cdot y -14[/tex].