The Type I error's computed value is 0.02275 and The Type II error has a computed value of 0.50 based on probability.
What is probability?
The potential or opportunity of an event happening is known as probability. The probability is equal to the variety of possible outcomes. the estimated number of outcomes that could occur.(a) Type I error probability if the critical region is defined as x < 11.5 kilograms
[tex]P(Type\ Error)=P\ xbar < 11.5\ when\ mu=12)\\\\[/tex]
[tex]=P(Z < \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z < -2)\\\\=0.02275[/tex]
The Type I error's computed value is 0.02275.
Observe that there is a 2.275% likelihood of dismissing the null hypothesis if it is true based on the Type I error probability.
(b) β for the case in which the true mean elongation is 11.25 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-12}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 1)\\\\= 1-P(Z < 1)\\\\=1-0.8413\\\\=0.1587[/tex]
The Type II error's computed value is 0.1587.
Observe that there is a 15.87% possibility of refusing to disprove the null hypothesis when it is untrue based on the Type II error probability.
(c) β for the case in which the true mean is 11.5 kilograms.
[tex]b= P(Type II Error)\\\\=P(xbar\geq 11.5\ when\ mu_1\ =11.25)[/tex]
[tex]=P(Z \geq \frac{11.5-11.5}{\frac{0.5}{\sqrt{4} } } )\\\\=P(Z \geq 0)\\\\= 1-P(Z < 0)\\\\=1-0.50\\\\=0.50[/tex]
The Type II error has a computed value of 0.50.
Observe that there is a 50% possibility of neglecting to disprove the null hypothesis when it is untrue based on the Type II error probability.
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pedro wants to make 3 1/2 batches of granola bars. His dad tells him that he needs 5 1/4 cup of oatmeal. How much oatmeal does pedro need for a single batch
Answer:
If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.
The midpoint of \overline{\text{AB}}
AB
is M(5, 6)M(5,6). If the coordinates of AA are (3, 8)(3,8), what are the coordinates of BB?
=================================================
Explanation:
Point B is at the location (x, y)
The x coordinates of A and B are 3 and x respectively. Add them up, divide in half, and set the result equal to the x coordinate of M which is 5
(3+x)/2 = 5
3+x = 2*5
3+x = 10
x = 10-3
x = 7 which is the x coordinate of point B
Repeat this same idea for the y coordinates.
(8+y)/2 = 6
8+y = 2*6
8+y = 12
y = 12-8
y = 4
Therefore, point B is located at (x,y) = (7, 4)
Visual verification is shown below. You could also use the midpoint formula on segment AB to find that M = (5,6) is the midpoint.
4
Albert made $54.25 bagging groceries for 5 hours last week. What was Albert's hourly wage? '
Answer:
$10.85
Step-by-step explanation:
Divide 54.25 by 5 and you get 10.85.
Show that the equation x³ - 3x² + 3 = 0 can be rearranged to give x = √√3x² -3
. Given the relation = {(5,2), (7,4), (9,10), (, 5)}. Which of the following values for x will make relation a function?
Answer:
0
Step-by-step explanation:
since a function maps only one member in the co-domain
Qin Corp. Issued 10-year bonds 2 years ago at a coupon rate of 9 percent. The bonds
make semiannual payments. If these bonds currently sell for 102 percent of par value,
what is the YTM? (Do not round Intermediate calculations and enter your answer as a
percent rounded to 2 decimal places, e.g., 32.16.)
In linear equation , 8.65% is the YTM .
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.Assuming face value to be $1000
Coupon = (0.09 * 1000) / 2 = 45
Number of periods = 8 * 2 = 16
Price = 102% of 1000 = 1020
YTM = 8.65%
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What is the radius of a circle with a circumference of 64 feet?
10.19 feet is the radius of a circle with a circumference of 64 feet.
A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.
Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.
A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.
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-4p + (-2) +2p + 3 combine like terms
Answer:
Step-by-step explanation:
-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p
= -1p
HELP WITH MATH QUETSION PLEASE I WILL GIVE BRAINLYEST The first 5 terms arithmetic sequence are shown on the graph.
a. describe the sequence in words.
b. what is the value of the 6th term?
c. write an explicit formula to find the nth term of the sequence.
The sequence is an AP with a = 11 and d = - 4 , 6th term is - 9 and formula is a + ( n - 1 ) d .
First Term = 11
Second Term = 7
Third Te3rm = 3
Fourth Term = - 1
Fifth Term = - 5
a ) Sequence is 11 , 7 , 3 , - 1 , - 5
b ) a + ( n - 1 ) d
11 + ( 6 - 1 ) ( - 4 )
11 + 5 ( - 4 )
11 - 20 = - 9
c ) a + ( n - 1 ) d
where a is the first term , n is the tem no . and d is the common difference of an AP .
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25) Which of these numbers cannot be a probability? (There is more than one answer.)
A -0.02
B0
C 1.002
D 1
Answer:
1.002, -0.02
Step-by-step explanation:
Probabilities range between 0 and 1.
Expand and simplify (5x - 2)^2
Answer:
The value of x = 2/5
Step-by-step explanation:
=>(5x - 2)²
=> (5x)² + 2² - 2(5x)(2)
=> 25x² -20x +4
=> 25x² -10x -10x +4
=> (5x-2) (5x-2)
=> x = 2/5 or 2/5
two times the quantity of seven less than twice x
i need put this in algebraic expression
The perimeter of a rectangular window is 324 cm .
If the width of the window is 73 cm , what is its length?
Answer:
The length is 89 cm============================
Perimeter equationP = 2(l + w), where
P- perimeter, l- length, w- widthGivenP = 324 cm,w = 73 cmFind the value of l:
324 = 2( l + 73)l + 73 = 324/2l + 73 = 162l = 162 - 73l = 89Answer:
L = 89 cm
Step-by-step explanation:
Formula we use,
→ P = 2(L + W)
Then the value of its length is,
→ P = 2(L + W)
→ 324 = 2(L + 73)
→ 324 = 2L + 146
→ 2L = 324 - 146
→ L = 178/2
→ [ L = 89 cm ]
Hence, the length is 89 cm.
In a survey of 720 human resource professionals, each was asked about the importance of the education of a job applicant. The survey subjects were randomly selected by pollsters from a reputable market research firm.
It seems to be reasonable so because survey data is unbiased.
What is defined as the unbiased survey data?An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.
A sample assessment of a population parameter for whom sampling distribution does have a mean equal to the parameter of been estimated is an unbiased statistic. Some traditional statistics provide unbiased estimates of their associated parameters, while others do not. The sample mean is the most basic example of an unbiased statistic. The sample mean is normally distributed with a mean equal to the population mean under the usual assumptions of population normality and simple random sampling with a mean equal to the population mean and a standard deviation equal to the population variance divided by the square root of the sample size.As, for the given question, the 720 human resource professionals survey is done considering each individual equal weight age for all.
A population proportion is also a unbiased estimate of a sample proportion.
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Please solve this and show ALL work. PLEASE I'M SO CONFUSED I WILL GIVE YOU A LOT OF POINTS AND MARK BRAINIEST ANSWER!
hi
budget is 170
we have 20 players and all of them need a package at 7.5 each.
So for 20 players total amount spend is : 20*7.5 = 150
there is 3.99 shipping cost
total spendings : 150 + 3.99 = 153.99
AS budget is 170 , so remais : 170 - 153.99 = 16.01
What is p2 + 13 if p = −4?
29
17
−3
−21
The value of the expression p² + 13 will be A. 29.
How to compute the expression?It should be noted that the expression given is that p² + 13 and we are told that p = -4.
Therefore, we have to put the value of p into the expression. This will be:
p² + 13
= (-4)² + 13
= 16 + 13.
= 29
The value is 29.
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Find the area and perimeter.
The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.
18x2 + 63x; 22x + 14
63x2 + 16; 22x + 14
18x2 + 63x; 16x + 2
63x2 + 18; 11x + 7
The area and the perimeter are 18x^2 + 63x and 22x + 14
How to determine the area and the perimeter?The given parameters are
Length = 9x
Width = 2x + 7
The area is calculated as
Area = Length * Width
So, we have
Area = 9x * (2x + 7)
This gives
Area = 18x^2 + 63x
The perimeter is calculated as
P = 2 * (Length + Width)
So, we have
P = 2 * (9x + 2x + 7)
Evaluate
P = 22x + 14
Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14
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A carry on bag costs $24 less than a suitcase. Janice bought 3 suitcases and 2 carry ons for $547. How much does one suitcase cost?
f the gray suitcase weighs 11 lb more than the pink suitcase, the pink suitcase weighs 5 lb than the blue suitcase, and the total of 3 suitcases is 127 lb, then the blue suitcase weighs 35.3 lb
Let the gray suitcase be represented by g
Let the pink suitcase be represented by p
Let the blue suitcase be represented by b
The gray suitcase weighs 11 lb more than the pink suitcase
g = p + 11........(1)
The pink suitcase weighs 5 lb than the blue suitcase.
p = b + 5
b = p - 5...........(2)
Total of 3 suitcases = 127 lb
p + b + g = 127............(3)
Substitute equations (1) and (2) into equation (3)
p + p - 5 + p + 11 = 127
3p + 6 = 127
3p = 127 - 6
3p = 121
p = 121/3
p = 40.3 lb
Substitute p = 40.3 into equation (2)
b = p - 5
b = 40.3 - 5
b = 35.3
The blue suitcase weigh 35.3 lb
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I cannot do this help me to this
A toy ball in the shape of a sphere expands and contracts. When it is completely closed, it has a diameter of 20.5 inches. Find the volume of the sphere when it is completely closed. Use 3.14 for π.
The volume of the sphere when it is completely closed is 4508.58 cubic inches
Volume of a sphereThe formula for calculating the volume of a sphere is expressed as:
V = 4/3πr³
where
r is the radius = 20.5/2
radius = 10.25 in
Substitute
V = 4/3 (3.14)*10.25³
V = 4/3(3.14)
V =4508.58 cubic inches
Hence the volume of the sphere when it is completely closed is 4508.58 cubic inches
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The size of a rectangular photo frame is 12 11/16cm by 8 3/4cm . which of the following gives The product of these three dimensions rounded to the nearest whole Numbers of centimeters
Answer:
12
Step-by-step explanation:
Answer: 13 cm x 9cm is the correct answer:)
Using the alternate form of the definition of the derivative, Compute f'(c) for f(x) = x+4/x, c=4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
What is the value of the derivative of a function?
In this problem we have the following rational equation, which is equivalent to the following sum of functions:
f(x) = (x + 4) / x = 1 + 4 / x = g(x) + h(x)
Then, we must find both the derivatives of the functions g(x) and h(x) by using the definition of derivative:
g(x):
g'(x) = [1 - 1] / h
g'(x) = 0 / h
g'(x) = 0
h(x):
h'(x) = [4 / (x + h) - 4 / x] / h
h'(x) = [4 · x - 4 · (x + h)] / [h · (x + h) · x]
h'(x) = - 4 · h / [h · (x + h) · x]
h'(x) = - 4 /[(x + h) · x]
If h = 0, then:
h'(x) = - 4 / x²
Then, the first derivative of the function is f(x) = - 4 / x². Now we evaluate the function at x = 4:
f(4) = - 4 / 4²
f(4) = - 1 / 4
The value of the f(x) = (x + 4) / x at x = 4 is equal to - 1 / 4.
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Got it wrong hehe :)
A store had apples on sale for $1.10 a pound. Mike spent $5.94 on apples. How many pounds did buy?
Answer:
5.4 lbs
Step-by-step explanation:
5.94 / 1.10 = 5.4
hope this helps! <3
Belinda buys a flat screen plasma television costing R20 000 on hire purchase. She traded in an old television for R3 000 and paid a deposit of R 2000. The balance was paid by means of monthly instalments of R900 over two years. Calculate the total simple interest paid and the rate of simple interest.
Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.
What was the simple interest paid?The balance after the trading in and deposit was:
= 20,000 - 3,000 - 2,000
= R15,000
The total simple interest paid was:
= (900 x 2 x 12months) - 15,000
= $6,600
The rate of simple interest was:
= (6,600 / 2 years) / 15,000
= 22%
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I NEED HELP PLS SOMEONE
1. 15/4 written as a decimal is 3.75
2. 5/6 written as a decimal is 0.83(repeating 3)
3. 11/3 written as a decimal is 3.6(repeating 6)
Division operationFrom the question, we are to write each fraction as a decimal
1. 15/4
3.75
4)15.00
-12
3.0
-28
20
-20
0
15/4 written as a decimal is 3.75
2. 5/6
0.833
6)5.00
-48
20
-18
20
-18
2
5/6 written as a decimal is 0.83(repeating 3)
3. 11/3
3.66
3)11.00
- 9
20
-18
20
-18
2
11/3 written as a decimal is 3.6(repeating 6)
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If DM = 26 and point G lies on the perpendicular bisector of DM¯¯¯¯¯¯¯, what is the value of r? Segment D M with point G between the endpoints. Segment D G has length R plus 3, and segment G M has length 4R minus 28. A. 10 B. 13 C. 30 D. 52
The value of R in the line segment is R = 1
How to determine the value of r on the line segment?The given parameters on the line segment are:
Line segment DM = 26Point G is on the perpendicular bisector of DMSegment DG = R + 3Segment GM = 4R - 28Because the point G is on the perpendicular bisector of DM, then it means that
DM = DG + GM
This means that
26 = R + 3 + 4R - 28
Collect the like terms
So, we have
4R + R = 3 + 28 - 26
Evaluate the like terms
So, we have
5R = 5
Divide both sides by 5
So, we have
R = 1
Hence, the value of R in the line segment is R = 1
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the best graph to use for nominal or ordinal data is
Bar charts and pie charts are the best graphs to use for nominal or ordinal data.
What is defined as the Bar charts?Bar graphs are graphical representations of data (usually grouped) in the form of horizontal or vertical rectangular bars, with the length of the bars proportional to the data measure.
They are also referred to as bar charts. In statistics, bar graphs are one method of data handling.The drawn bars are uniform in width, as well as the variable quantity is depicted on one of the axes. The variable's measure is also depicted on other axes. The heights or lengths of the bars represent the variable's value, and these graphs are also employed to compare different quantities.Thus, for nominal and ordinal variables, bar charts or even pie charts are most commonly used.
Line charts as well as histograms are the most common ways to represent scale variables.
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Math
The product of 84.12 and which number will have three decimal places?
The product of 84.12 and 19.3 will have three decimal places.
Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.
Let us look at each option one by one,
1. 4.22
4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
2. 10.51
Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.
3. 14.163
14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.
3. 19.3
19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.
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Your question was incomplete. Check for full content below-
The product of 84.12 and which number will have three decimal places? 4.22
10.51
14.163
19.3
What is the image of image of the point (-7,-3) after a rotation of 180 degrees counterclockwise
PLEASE
The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]
According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex] degrees counterclockwise, we are supposed to find out the image of the point after the rotation.
Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.
When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.
Therefore the coordinates will become as [tex](7,3)[/tex].
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