Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.
Which value of μ will have the greatest power of test?The alternative hypothesis is that Hₐ : μ < 14.
For the alternative hypothesis to be right, μ will have to be less than 1.4.
μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.
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Answer:
μ = 7
Step-by-step explanation:
Got this right on the segment exam. Good luck, my FLVS fellows!
Using a straightedge and compass the ancient Greeks were able to construct many geometric objects
Step-by-step explanation:
A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .
The tables show the battery lives (in hours) of two brands of laptops. Which brand's battery lives are more spread out? Explain
Suppose you have the following null and alternative hypothesis
A type I error takes place if a given null hypothesis is rejected but is said to be true in the population such as the forecast shows it is snowing outside but actually it is isn't.
What is type 11 error?A type II error is known to be a statistical term that tells the error that takes place when one fails not to accept a null hypothesis that is said to be really false. A type II error create a false negative.
It known is known also as an error of omission. Example is the forecast shows that It is not snowing but it is actually snowing.Note that:
Type I error is false positive.Type II error is false negative.The power of the test shows that:
The Power is the likelihood of rejecting the null hypothesis even if it is false.Power is the likelihood of making the right decision that is to reject the null hypothesis even if the null hypothesis is false.Power is the likelihood of not making a Type II error and others.See full question below
Suppose you have the following null and alternative hypothesis:
H o: it is snowing.
H a: It is not snowing
(A) in the context of this problem, describe a Type-1 error
(B) Describe Type II error
(C)Describe power of the test
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Given quadrilateral A(2,-1) B(1,3) C(6,5) D(7,1), you want to prove that it is a parallelogram by showing opposite sides are parallel. What formula would you use?
Answer: Slope formula
Step-by-step explanation:
You could show the slopes of the opposite sides are equal, and thus they are parallel.
DO,K = (9, 6) (3, 2) The scale factor is
Using proportions, it is found that the scale factor of the transformation is of 1/3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.
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I need help on this 1 question. Thank you.
Answer: 5/6, 3/4, 4/12
Step-by-step explanation:
Convert them all into a common denominator, 12.
5/6=10/12, 3/4=9/12, and 4/12 stays the same. 10>9, and 9>4
What are the fourth roots of 2√3 −2i? Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure.
By using the De Moivre's formula, the quartic roots of the complex numbers (in polar form) are z₁ = (√2, π/6), z₂ = (√2, 2π/3), z₃ = (√2, 7π/6), z₄ = (√2, 5π/3).
How to find the roots of a complex number
Complex numbers are numbers of the form a + i b, where a and b are the real and imaginary component, respectively. In other words, complex numbers are an expansion from real numbers. The n-th root of a complex number is found by using the De Moivre's formula:
[tex]\sqrt[n]{z} = \sqrt[n]{r}\cdot \left[\cos \left(\frac{\theta + 2\pi\cdot k}{n} \right) + i\,\sin \left(\frac{\theta + 2\pi\cdot k}{n}\right)\right][/tex], for i = {0, 1, 2, ..., n - 1}.
Where:
r - Norm of the complex number.θ - Direction of the complex number, in radians.The norm of the complex number is found by Pythagorean theorem:
[tex]r = \sqrt{(2\sqrt{3})^{2}+(-2)^{2}}[/tex]
r = 4
And the direction is determined below:
[tex]\theta = \tan^{-1} \left(\frac{2\sqrt{3}}{-2} \right)[/tex]
θ = 2π/3 rad
Then, the quartic roots of the complex numbers (in polar form) are z₁ = (√2, π/6), z₂ = (√2, 2π/3), z₃ = (√2, 7π/6), z₄ = (√2, 5π/3).
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The diameter of a circle is 12 miles. What is the circle's area use 3.14
Step-by-step explanation:
Are of a circle is πr^2
to find the radius r=d/2
=12/2=6r
3.14x6x6
=169.56 cm^2
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liz wants to determine which sport students like to play the most at her school.which method will most likely produce a random example.
Answer:
Random sampling
Step-by-step explanation:
Random sampling is a method of choosing a sample of observations from a population to make assumptions about the population. It is also called probability sampling.
4. Mr. A has 3 acres of land. He gave 1 % acres of land to his friend. How many acres of land does Mr. A have now?
Answer:
1% given away means 1/100 × 3= 0.03
therfore what is left is : 3-0.03= 0.97
Answer:
1% means 1/100, so 1% of 3 acres of land = 1/100×3 = 3/100 or 0.03 acres of land. Since he gave 0.03 acres of land away, Mr A has 3-0.03 = 2.97 acres of land
1.How many more pupils go to school by tricycle than bicycle?
A.4
B.5
C.3
D.2
2.what is the total number of pupils in grade 6 Simplicity?
A.33
B.28
C.29
D.30
3.what fraction of the pupil in grade 6 Simplicity walk to school?
A.8/33
B.12/33
C.10/33
D.3/33
4.what percentage of the pupil goes to school by walking?
A.24%
B.33%
C.9%
D.36%
What is true about the net of a pyramid?
It will always contain exactly 1 triangle.
It will always contain exactly 2 triangles.
It can contain any number of triangles greater than or equal to 3.
It can contain any number of triangles greater than or equal to 4.
A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.
What is the net of a 3-D shape?A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.
The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.
Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.
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helppp quickkkkkkk enough points
Answer:
[tex]a=2\\\\ b = 20\\\\ c = 47[/tex]
Step by step explanation:
[tex]a(x) = 2(x+5)^2 -3\\\\~~~~~~~=2(x^2 +2 \cdot 5 \cdot x +5^2) -3\\\\~~~~~~~=2(x^2 +10x+25) -3\\\\~~~~~~~=2x^2 +20x +50 -3 \\\\~~~~~~~=2x^2 +20x +47\\\\\text{By comparing}~ 2x^2 +20x +47~ \text{with the standard form}~ ax^2 +bx+c,\\\\a=2,~ b = 20,~ c = 47[/tex]
Answer:
A or 57 7/9ft3
Step-by-step explanation:
13/3x10/3x4/1 = 520/9=57 7/9
A certain television is advertised as a 95-inch tv (the diagonal length). if the width of the tv is 77 inches, how tall is the tv? round to the nearest tenth of an inch.
The height of the television given the length of its diagonal and its width is 55.6 inches
What the height of the tv?The height of the television can be determined using Pythagoras Theorem.
The Pythagoras theorem: a² + b² = c²
where a = length
b = base
c = hypotenuse
√95² - 77² = 55.6 inches
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Answer: 55.6
Step-by-step explanation: 55.6 that's what I put in and got it right
The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?
A beam measuring 2 meters can support 172 kilograms
How to determine the weight?The variation is a direct variation.
So, we have:
w = kl
Where k is the constant of variation.
When l = 5, w = 430.
This means that:
430 = 5k
Divide both sides by 5
k = 86
So, we have:
w = 86l
When l = 2, we have:
w = 86 * 2
Evaluate
w = 172
Hence, a beam measuring 2 meters can support 172 kilograms
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x+6/x+3 X x-6/x-3
A. 2x-12/x-3
B. x-12/x-6
C. x^2-12/x^2-6
D. x^2-36/x^2-9
d
Step-by-step explanation:
Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer
The age of Jennifer is 16.
What is Jennifer's age?Let Jennifer's age be represented with x
Jonathan's age would be 2x
The sum of their ages would be 48
2x + x = 48
3x = 48
x = 48 /3 = 16
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Answer: Jennifer is 16
Step-by-step explanation: 2x+y=48, divide by 3 then multiply by 2
Anyone mind helping me solve this inequality? Step by step
By decomposing the figure in simpler shapes, we will see that the total area is:
a = 180 cm²
How to find the area of the composite figure?
Remember that the area of a rectangle of width W and length L is:
A = L*W
And the area of a triangle with base B and height H is:
A = B*H/2.
Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.
So the area of that part is:
A = 6cm*6cm + 2*(3cm*6cm/2) = 54cm²
Now, the bottom triangle has a base of 12 cm, and a height of:
15cm - 6cm = 9cm
Then its area is:
A' = 12cm*9cm/2 = 54cm²
This means that the total area of the figure is:
total area = 54cm² + 54cm² = 108cm²
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Chris needs a clever pattern for Math class tomorrow. He comes up with this pattern: 8, 4, 12, 6, 16, 8, 20, 10, ___, __.
What is his rule for this pattern
A. each set of 4 numbers adds to 36.
B. each set of four numbers adds up to 30.
C. each set of 2 numbers makes up a prime number.
D. the first number in each set of 2 numbers is 4 more than the last first number, and the second number is ½ of the first.
Answer:
D
Step-by-step explanation:
can't really explain it just is the answer
hope this helps!
In a group of 32 musicians, all play piano, guitar, or both. Of those musicians, 12 only play guitar and 16 play both How many of the musicians play only piano
Answer:
4 only play piano
Step-by-step explanation:
12 + 16 = 28
32 - 28 = 4
There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
5 blue, 4 red = 9 total
Probability (Blue, Blue) = 5/9 x 5/9 = 25/81 = 0.30864
Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753
Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173
Fraction answer = 41/81
Decimal answer = 0.506173 (round off as needed)
How many more cubic inches are in the volume of a cylinder with a diameter of 12 inches and a height of 13 inches than in the volume of a cylinder with a diameter of 10 inches and a height of 11 inches?
Answer:
Approx. 606.02 cubic inches more.
Step-by-step explanation:
[tex]Volume=\pi *(\frac{diameter}{2})^2*height[/tex]
First, let's find the volume of the first cylinder (diameter=12, height=13).
[tex]V=\pi * (\frac{12}{2})^2 * 13\\V=\pi * (6)^2 * 13\\V=\pi * 36 * 13\\V=3.14*36*13\\V=113.04*13\\V=1469.52 in^3[/tex]
Now let's find the volume of the second cylinder (d=10, h=11).
[tex]V_{2}=\pi * (\frac{10}{2})^2*11\\V_{2}=\pi * (5)^2*11\\V_{2}=\pi * 25 * 11\\V_{2}=3.14*25*11\\V_{2}=78.5*11\\V_{2}=863.5in^3[/tex]
Lastly, we can subtract the volume of the second cylinder from the volume of the first cylinder.
This gets us a solution of 606.02 cubic inches.
Samuel can type 40 words per minute. How many hours would it take him to type
2.6 x 10^5 words?
Answer:
108 1/3 hours
Step-by-step explanation:
There are 60 minutes in 1 hours.
40 words/minute × 60 = 2400 words/hour
2.6 × 10^5 / 2400 = 108.3333... = 108 1/3
Answer 108 1/3 hours
I am very confused and so are my classmates.
Answer:
I used A and got 0.4 and she needs 52200
Step-by-step explanation:
Choose the graph below that matches the equation: =2/3 + 5
It is TRUE, so shade on the SAME side as (0,0)
Find the volume of rectangular pyramid 5in 5 in 2 in
Answer:
16.67
Step-by-step explanation:
formula for a rectangular pyramid =
lengthxwidth= base area x height/3
2x5=10x5=50
50/3=16.67
9/12 devided by 2/12
[tex]\textbf{Given that,}\\\\~~~\dfrac 9{12} \div \dfrac{2}{12}\\\\\textbf{We can rewrite it as}\\\\~~~~\dfrac{9}{12} \times \dfrac 1{\tfrac{2}{12}}\\\\\\=\dfrac {9}{12} \times \dfrac{12}2\\\\\\=\dfrac 92\\\\\\=4.5\\\\\textbf{Hence the quotient is}~ \dfrac 92 ~ \textbf{or}~ 4.5.[/tex]
Consider triangle ABC. What is b?
Answer:
A triangle is equal to 540° so you do 112 add 37 which equals 149° then take it away from 540 which gives you 391° as your answer
Step-by-step explanation:
Your Welcome
Consider the following histogram.
A histogram with 5 bars with intervals of equal width. The height of the first bar is 2. The height of the second bar is 5. The height of the third bar is 6. The height of the fourth bar is 5. The height of the fifth bar is 2.
© 2018 StrongMind. Created using GeoGebra.
Which answer correctly describes the shape of the data in the histogram?
left-skewed
right-skewed
symmetrical
uniform
Answer:
The shape of the data in the histogram is Symmetrical.
Step-by-step explanation:
This is because the distribution, or data set is the same to the left and right of the center point.
Find the value of z if the volume of the cylinder is 1696.5m^3 use 3.14 for pi and round your answer to the nearest whole number.
Answer:
6 m
Step-by-step explanation:
The missing dimension can be found using the volume formula with the known values filled in. This gives an equation that can be solved for z.
The volume of a cylinder is given by the formula ...
V = πr²h
__
Using the given values, we have ...
1696.5 m³ = 3.14(z²)(15 m)
z² = (1696.5 m³)/(47.1 m) ≈ 36.0191 m² . . . . divide by 47.1 m
Taking the square root, we find z to be ...
z ≈ √(36.0191 m²) ≈ 6.00 m
The value of z is about 6 m.