Answer:
(a) The conclusion of the test if null hypothesis is rejected is that we conclude that the null hypothesis that the defendant is not guilty is false and the defendant is found guilty and should be convicted.
(b) The consequence of a Type I error would be that an innocent defendant was found guilty and will be hanged but in actual he was not guilty.
(c) The conclusion of the test if we fail to reject the null hypothesis is that we conclude that the null hypothesis is true and the defendant is not guilty. The defendant should be set free.
(d) The consequence of a Type II error would be that a guilty defendant was set free but in actual it is found guilty and should be convicted.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : The defendant is not guilty.
Alternate Hypothesis, [tex]H_A[/tex] : The defendant is guilty.
(a) The conclusion of the test if null hypothesis is rejected is that we conclude that the null hypothesis that the defendant is not guilty is false and the defendant is found guilty and should be convicted.
(b) Type I error states that the null hypothesis is rejected given the fact that null hypothesis was true.
So, here the Type I error would be to conclude that the defendant is guilty but in fact it was not guilty.
Hence, the consequence of a Type I error would be that an innocent defendant was found guilty and will be hanged but in actual he was not guilty.
(c) The conclusion of the test if we fail to reject the null hypothesis is that we conclude that the null hypothesis is true and the defendant is not guilty. The defendant should be set free.
(d) Type II error states that the null hypothesis is accepted given the fact that null hypothesis was false.
So, here the Type II error would be to conclude that the defendant is not guilty but in fact it was found guilty.
Hence, the consequence of a Type II error would be that a guilty defendant was set free but in actual it is found guilty and should be convicted.
The two-way frequency table below shows the preferred communication method of employees at a company, based on years of employment with the company. Text Message Instant Message Phone Call Email Total 0 to 7 years 36 49 8 21 114 8 or more years 12 22 19 43 96 Total 48 71 27 64 210 What percentage of employees with 8 or more years at the company reported that email is their preferred method of communication? A. 44.79% B. 20.48% C. 48.84% D. 67.19%
Answer:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
Step-by-step explanation:
The proportion is the number of desired outcomes divided by the number of total outcomes.
The percentage is the proportion multiplied by 100.
In this question:
210 employees with 8 of more year.
Of those, 64 have the email as their preferred method of communication.
64/210 = 0.3048
0.3048*100 = 30.48%
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 30.48%. I suppose there was a small typing mistake in option B.
In this exercise we have to use the percentage knowledge to calculate the number of employees of the company over the years, in this way we find that this corresponds to:
The percentage of employees with 8 or more years at the company that reported that email is their preferred method of communication is 67,9%. Is D.
They are using the data informed in the text, we have:
210 employees with 8 of more year. Of those, 64 have the email as their preferred method of communication.
So doing the percentage calculation we have that;
[tex]210-64=146\\(146*100)/210=67,19\%[/tex]
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I need help asaap!!!!
Answer:
Answer choice 3
Step-by-step explanation:
Option 3 is correct one
∠TQS ≅ ∠RSQ
⇒ ΔTQS ≅ ΔRSQ
⇒ QR≅ST and QT≅RS
QRST is parallelogram by definition
Answer:
Option 3
Step-by-step explanation:
Angle TQS is congruent to angle RSQ and can be proved by alternating interior angle theorem.
Triangle TQS is congruent to triangle RSQ.
Line QR is congruent to line ST.
Line QT is congruent to line RS.
3.
QR
find the arc length
02.83
021.99
O 12.57
0 34.56
If right triangle ABC below was rotated around side AB, which solid would be produced?
Answer: Option 3.
Step-by-step explanation:
A rotation around the side AB, means that the side AB remains fixed in the place, and we rotate the vertex C creating in this way a solid figure.
Now, this figure will Create a cone with height AB, and where the radius of the base will be BC. (Where AB is the length of the side AB in the original triangle, and BC is the length of the side BC on the original triangle)
The correct option is option 3.
Please answer this question for me thank you !! 20 Points !! Will give brainliest !!
Answer:
b
Step-by-step explanation:
In a parralel graph, the slopes would always be the same. The intercept in the answer is 2, showing that the coordinate points are (0,2)
Hope this helps!:)
Answer:
B) y = 2x + 2
Step-by-step explanation:
Firstly, you have to know that parallel lines have congruent slopes. That means that the slope of this line will be 2.
Next, make a point slope form of the equation:
y - y1 = m(x - x1)
y - 2 = 2(x - 0)
y - 2 = 2x - 0
Now, we can make it into slope intercept form.
y - 2 = 2x
y = 2x + 2
Hope this helps :)
Which triangle’s area would be calculated using the trigonometric area formula?
Triangle E F D is shown. The length of E F is 10, the length of D F is 7, and the length of D E is 12.
Triangle Q R P is shown. The length of Q R is 5 and the length of R P is 6. Angle Q R P is 40 degrees.
Triangle A B C is shown. The length of A B is 4 and the length of B C is 5. Angle B C A is 25 degrees.
Triangle X Y Z is shown. The length of Y Z is 4. Angle Z X Y is 29 degrees and angle X Y Z is 110 degrees.
Answer:
Triangle Q R P is shown. The length of Q R is 5 and the length of R P is 6. Angle Q R P is 40 degrees.
Step-by-step explanation:
The trigonometric formula refers the two sides length of the triangle and it also consists of included angle to find out the area
A = [tex]\frac{1}{2}[/tex] ab sin C
QPR contains two sides and the included angle
XYZ has one side and the two angles
DEF has only three sides
And, the ABC contains two sides but does not have the included angle
Based on the explanation above, the correct option is B
Answer: the second option aka B
Step-by-step explanation: The other person explained it and I'm just here to tell you they gave the correct and answer for edge 2020.
Suppose f (x )right arrow 250 and g (x )right arrow 0 with g(x)greater than0 as x right arrow 5. Determine ModifyingBelow lim With x right arrow 5 StartFraction f (x )Over g (x )EndFraction .
Answer:
The limit is [tex]\lim_{x \to 5} \frac{250}{0} = \infty[/tex]
Step-by-step explanation:
The equation given are
[tex]f(x) \to 250[/tex]
and [tex]g(x) \to 0[/tex]
with [tex]g(x) > 0 \ as\ x ---> 5[/tex]
The objective is to obtain
[tex]\lim_{x \to 5} \frac{f(x)}{g(x)}[/tex]
This mathematically evaluated as
[tex]\lim_{x \to 5} \frac{250}{0}[/tex]
[tex]= \lim_{x \to 5} \frac{250}{0} = \infty[/tex]
Simplify the expression. (-3 + 6i)(-3 + 5i)
Answer:
When we expand we get -9 - 33i + 30i². Since i² = -1 we can write this as -9 - 33i + 30 * (-1) = -9 - 33i - 30 = -33i - 39.
Answer:
-21-33i
Step-by-step explanation:
(-3+6i)(-3+5i)=9-15i-18i+30i²=9-33i+30(-1)=-21-33i
8 cm
10 cm
The surface area of the above figure is
A. 816.8 cm2
B. 879.6 cm2
C. 565.5 cm2
D. 1131.0 cm
Hi there u have not given us the figure please correct the answer and I will send my answer.Is it a cylinder cuboid cube or?
The random variable x is the number of vehicles that pass through an intersection in a 30-minute interval. It can be assumed that the probability of an occurrence is the same in any two time intervals of an equal length. It is known that the mean number of occurrences in 30 minutes is 9. What is the expected value of the random variable x?
Answer:
9 is the correct answer to the given question .
Step-by-step explanation:
AS mention in the question the random variable x is the number of vehicles that passing through the intersection in the 30-minute .So we concluded that it is normal distribution because in the normal distribution the variable values are divided .
In the Normal distribution
[tex]Mean \ number\ =\ Expected\ value\ \\Here Mean number\ =\ 9[/tex]
Therefore the Expected value =9.
If a variable has a distribution that is bell-shaped with mean 16 and standard deviation 6, then according to the Empirical Rule, 99.7% of the data will lie between which values? g
Answer:
99,7 % of all values will be in the interval ( -2 ; 34)
Step-by-step explanation:
Empirical Rule for the normal distribution with mean X, implies that the intervals :
X ± σ will contain 68 % of all values
X ± 2σ will contain 95 % of all values
X ± 3σ will contain 99,7 % of all values
Therefore in the interval X - 3σ ; X + 3σ
X - 3*6 = X -18 = 16 - 18 = -2
And
X + 3*6 = X + 18 = 16 + 18 = 34
99,7 % of all values will be in the interval ( -2 ; 34)
148 is 37% of what amount
Answer:
400
Step-by-step explanation:
Answer: 148 is 37% of What Number? 37% of 400 is 148. 100% of 400 is 400, therefore 37 percent of 400 equals 148.
Brainlest would be appreciated.
decide which of the two given prices is the better deal and explain why. you can buy shampoo in a 5 ounce bottle for $4.89 or in a 15 ounce bottle for $10.29. what is the cost per ounce for each bottle
Answer:
The 5 ounce bottle is $0.98 per ounce
The 15 ounce bottle is $0.69 per ounce
The 15 ounce bottle is a better deal because the cost per ounce is lower
Step-by-step explanation:
To find the cost per ounce for each bottle, divide the cost by how many ounces are in the bottle.
4.89 ÷ 5 = 0.978
10.29 ÷ 15 = 0.686
So, the 5 ounce bottle is $0.98 per ounce, while the 15 ounce bottle is $0.69 per ounce.
The 15 ounce bottle is a better deal because the price is lower per ounce.
Buying a 15 ounces bottle for $10.29 is the better deal because it's cheaper.
Since one can buy shampoo in a 5 ounce bottle for $4.89, the cost per ounce bottle will be:
= $4.89/5
= $0.978
Since one can buy a 15 ounces bottle for $10.29, the cost per ounce bottle will be:
= $10.29/15
= $0.686
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18. The servicing of a machine requires two separate steps, with the time needed for the
first step being an exponential random variable with mean 0.2 hour and the time for the
second step being an independent exponential random variable with mean 0.3 hour. If a
repair person has 20 machines to service, what is approximately the probability that all the
work can be completed in 8 hours?
Answer:
Step-by-step explanation:
Let X denote the first step
Let Y denote the second step
Then
E(X) = 0.2
E (Y) = 0.3
V (X) = 0.04
V (Y) = 0.09
Now,
E(X,Y) = E[X] + E{Y}
0.2 + 0.3 = 0.5
And since X and Y are independent
Therefore,
V(X , Y) = V(X) + V(Y)
= 0.04 + 0.09
= 0.13
Now required probability is
[tex]P\{ \sum X_i+\sum Y_i<8 \}=P\{ \frac{\sum X_i + \sum Y_i-nE[X+Y]}{\sqrt{Var(X+Y)n} } <\frac{8-20\times0.5}{\sqrt{0.13\times20} } \}\\\\=P\{Z_n<\frac{8-10}{\sqrt{2.6} } \}\\\\=P\{Z_n<-1.24\}[/tex]
= Φ(-1.24)
= 1 - Φ (1.24)
= 1 - 0.8925
= 0.1075
Lucy buys 7kg of nuts to sell.
She pays £10 for the nuts.
Lucy puts all the nuts into bags.
She puts 350g of nuts into each bag.
She then sells each bag of nuts for 75p.
Lucy sells all the bags of nuts.
Work out her percentage profit.
Answer:
Lucy's percentage profit = 33.33% based on Sales Value
and 50% based on Cost.
Step-by-step explanation:
a) Calculations:
7kg = 7,000g of nuts
Cost of 7,000g = £10
350g = 20 bags (7,000/350)
Sales value = £15 (20 x 75p)
Profit = Sales value minus Cost
Profit = £5 (£15 - £10)
Profit percentage based on sales = Profit/Sales x 100 = 5/15 x 100 = 33.33%
Profit percentage based on cost = Profit/Cost x 100 = 5/10 x 100 = 50%
b) Profit is the excess of sales over cost. There are two ways to express it in percentages. Profit can be expressed as a percentage of the cost (Markup). It can also be expressed as the percentage of the sales value (Margin).
Simplify this equation x2-5x-36
Answer:
[tex]=\left(x+4\right)\left(x-9\right)[/tex]
Step-by-step explanation:
[tex]x^2-5x-36\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+4x\right)+\left(-9x-36\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\mathrm{Factor\:out\:}-9\mathrm{\:from\:}-9x-36\mathrm{:\quad }-9\left(x+4\right)\\=x\left(x+4\right)-9\left(x+4\right)\\\mathrm{Factor\:out\:common\:term\:}x+4\\=\left(x+4\right)\left(x-9\right)[/tex]
How do I set up this problem. I'm lost
Answer:
the answer is 64 .
Step-by-step explanation:
basically i just divided 48 by 2.4 and got 20 .. so that means that 20 has to be the multiplied factor so i just multiplied 3.2 by 20 and got 64.
A customer visiting the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability 0.30, and a tile with probability 0.28. The customer will purchase both a suit and a shirt with probability 0.11, both a suit and a tie with probability 0.14, and both a shirt and a tie with probability 0.10. A customer will purchase all 3 items with probability 0.06. What’s the probability that a customer purchase: (a) none of these items? (b) exactly 1 of these items?
Answer:
a. The probability that a customer purchase none of these items is 0.49
b. The probability that a customer purchase exactly 1 of these items would be of 0.28
Step-by-step explanation:
a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:
let A represents suit
B represents shirt
C represents tie
P(A) = 0.22
P(B) = 0.30
P(C) = 0.28
P(A∩B) = 0.11
P(C∩B) = 0.10
P(A∩C) = 0.14
P(A∩B∩C) = 0.06
Therefore, the probability that a customer purchase none of these items we would have to calculate the following:
1 - P(A∪B∪C)
P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)
= 0.22+0.28+0.30-0.11-0.10-0.14+0.06
= 0.51
Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49
The probability that a customer purchase none of these items is 0.49
b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:
= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))
=0.51 -0.23 = 0.28
The probability that a customer purchase exactly 1 of these items would be of 0.28
Simplify the expression in the radical symbol to
determine a in
y=avx-h+k.
The graph is a vertical
<>
Answer:
a=[tex]\frac{y-k+h}{vx}[/tex]
Step-by-step explanation:
y=avx-h+k
subtract k and add h to both sides
y-k+h=avx
divide v and x from both sides
[tex]\frac{y-k+h}{vx}[/tex]=a
Answer:
The value of a is [tex]a=\frac{y+h-k}{vx}[/tex]
Step-by-step explanation:
What is expression?
In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.
What is radical symbol?
In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number.
Given,
[tex]y=avx-h+k\\= > y+h-k=avx\\= > a=\frac{y+h-k}{vx}[/tex]
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What is the solution to the question
82.24 =-8.48 + 4x
Answer:
22.68
Step-by-step explanation:
82.24 =-8.48 + 4x
82.24+8.48 = 4x
90.72=4x
90.72/4=x
22.68=x
(Please hurry)
Explain how to find the value of x
Answer:
96
Step-by-step explanation:
Exterior angles add up to 360
360 - 134-130 = 96
x = 96
Consider the system:
y = 3x + 5
y = ax + b
What values for a and b make the system
inconsistent? What values for a and b make the
system consistent and dependent? Explain.
Answer:
Step-by-step explanation:
In this problem, we have the following linear equations:
y=3x+5
y=ax+b
We know that a linear equation is an equation for a line. In a system of linear equations, two or more equations work together.
1. What values for a and b make the system inconsistent?
A system is inconsistent if and only if the lines are parallel in which case the system has no solution. This is illustrated in the first Figure bellow. Two lines are parallel if they share the same slope. So, the system is inconsistent for:
a=3
for any value of b
2. What values for a and b make the system consistent and dependent?
A system is consistent if and only if the lines are the same in which case the system has infinitely many solutions. This is illustrated in the second Figure bellow. So, the system is consistent and dependent for:
a=3 and b=5
Answer:
When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.
Step-by-step explanation:
I NEED HELP WITH THIS PLEASE HELP ME
Answer:
156 minutes
Step-by-step explanation:
So we need to create an equation to represent how Frank's phone company bills him
I will denote "y" as the total for his billI will denote "x" as the number of minutes Frank usesSo the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"
They then charge $0.06 for every minute he talks, this will be our "slope"
Combining everything into an equation, we have: y = 0.06x + 8
Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value
y = 0.06x + 8 → y - 8 = 0.06x → [tex]x=\frac{y-8}{0.06}[/tex] Then plugging in our y value we get [tex]x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156[/tex]Frank used up a total of 156 minutes
The table shows the heights of the winners and runners-up of 8
presidential elections. Find the line of regression that predicts the
runner-up's height given the winner's height. Determine if the
regression line is a good predictor of heights for the winners and
runner-ups of presidential elections.
Winner
69.5
73
73
74
74.5
74.5
71
71
Runner-Up
72
69.5
70
68
74
74
73
76
Answer:
The table shows the heights of the winners and runner-ups of 8 presidential elections. Find the line of regression that predicts the runner-up's height given the winner's height. Determine if the regression line is a good predictor of heights for the winners and runner-ups of presidential elections.
Winner: 69.5; 73; 73; 74; 74.5; 74.5; 71; 71
Runner-Up: 72; 69.5; 70; 68; 74; 74; 73; 76
a. y = 95.4 - 0.321x; no, because the r-value is low.***
b. y = -0.321 + 95.4x; no, because the r-value is low.
The regression line is NOT a good predictor of heights for the winners and runner-ups of presidential elections because the r-value is low
Calculations and Parameters:Given that:
The data given for the winners are:
69.5; 73; 73; 74; 74.5; 74.5; 71; 71
The runners up are:
72; 69.5; 70; 68; 74; 74; 73; 76
With this, we can see that a. y = 95.4 - 0.321x; no, because the r-value is low.
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Expansion Numerically Impractical. Show that the computation of an nth-order determinant by expansion involves multiplications, which if a multiplication takes sec would take these times:
n 10 15 20 25
Time 0.004 sec 22 min 77 years 0.5.109years
Answer:
number of multiplies is n!n=10, 3.6 msn=15, 21.8 minn=20, 77.09 yrn=25, 4.9×10^8 yrStep-by-step explanation:
Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...
mpy[n] = n·mp[n-1]
mpy[2] = 2
So, ...
mpy[n] = n! . . . n ≥ 2
__
If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...
10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10
Then the larger matrices take ...
n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min
n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years
n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years
_____
For the shorter time periods (less than 100 years), we use 365.25 days per year.
For the longer time periods (more than 400 years), we use 365.2425 days per year.
Please help guys thank u
Answer:
a. 1/3 or about 33.33%
b. 5/6 or about 83.33%
Step-by-step explanation:
Answer:
the possibility of a red one is 33.4%
The possibility of a non yellow one is 83.3
Step-by-step explanation:
Please show how to factor this I really don't understand, 3x^2−10x−8.
Answer: (x - 4) (3x + 2)
Step-by-step explanation:
Factor 3x² - 10x - 8
a) Multiply the first and last coefficients: 3(-8) = -24
b) Find two numbers whose product equals -24 and sum equals -10 (the middle coefficient).
-24
∧
1 -24
2 -12 This works!
c) Replace the the middle term of -10x with 2x - 12x
3x² + 2x - 12x - 8
d) Split the equation into two sections (left and right) and factor each side separately.
3x² + 2x - 12x - 8
x(3x + 2) -4(3x + 2)
e) Notice that the parenthesis are the same. The values on the outside combine to make one of the factors and the parenthesis are the other factor.
x(3x + 2) -4(3x + 2)
= (x - 4) (3x + 2)
what equation is in quadratic form
Answer:
Any equation in the form ax 2 + bx + c = 0 is said to be in quadratic form. This equation then can be solved by using the quadratic formula, by completing the square, or by factoring if it is factorable.
Step-by-step explanation:
Hope it helps
What’s the correct answer for this question?
Answer: choice D 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/6=1/3*p(A)
p(A)=1/2
What is the solution to the equation a+5-2/3=9
Answer:
a= [tex]\frac{14}{3}[/tex]
a≈4.6
Step-by-step explanation:
a+5- [tex]\frac{2}{3}[/tex] =9
a+ [tex]\frac{15}{3} -\frac{2}{3}[/tex] =9
a+ [tex]\frac{13}{3}[/tex] =9
Subtract [tex]\frac{13}{3}[/tex] from both sides
a=[tex]\frac{14}{3}[/tex]
a≈4.6
Answer:
a
Step-by-step explanation: